// Testfile dumped by Ultimate at 2025/03/14 21:35:19 // // //@ variables (~__daylight~0 Int) (~b2~0 Int) (~tzname~0.base (Array Int Int)) (~daylight~0 Int) (~__tzname~0.offset (Array Int Int)) (~X~0 Int) (thr1Thread1of1ForFork1_thidvar1 Int) (thr1Thread1of1ForFork1_thidvar0 Int) (~__tzname~0.base (Array Int Int)) (~timezone~0 Int) (|#StackHeapBarrier| Int) (|#pthreadsForks| Int) (thr2Thread1of1ForFork0_thidvar0 Int) (thr2Thread1of1ForFork0_thidvar1 Int) (~__timezone~0 Int) (|#valid| (Array Int Int)) (thr2Thread1of1ForFork0_thidvar2 Int) (|#memory_int| (Array Int (Array Int Int))) (|#length| (Array Int Int)) (~tzname~0.offset (Array Int Int)) (~y~0 Int) (~x~0 Int) (~b1~0 Int) (|thr1Thread1of1ForFork1_#in~_.offset| Int) (thr1Thread1of1ForFork1_~_.base Int) (|thr1Thread1of1ForFork1_#in~_.base| Int) (|thr1Thread1of1ForFork1_#res.base| Int) (thr1Thread1of1ForFork1_~_.offset Int) (|thr1Thread1of1ForFork1_#res.offset| Int) (|#Ultimate.allocInit_ptrBase| Int) (|#Ultimate.allocInit_~size| Int) (|thr2_#res.offset| Int) (|thr2_#in~_.base| Int) (thr2_~_.base Int) (thr2_~_.offset Int) (|thr2_#in~_.offset| Int) (|thr2_#res.base| Int) (|thr1_#res.offset| Int) (thr1_~_.base Int) (|thr1_#in~_.base| Int) (|thr1_#res.base| Int) (thr1_~_.offset Int) (|thr1_#in~_.offset| Int) (|ULTIMATE.start_main_~t1~0#1| Int) (|ULTIMATE.start_main_#t~nondet10#1| Int) (|ULTIMATE.start_main_#t~pre11#1| Int) (|ULTIMATE.start_main_#t~pre9#1| Int) (|ULTIMATE.start_main_#res#1| Int) (|ULTIMATE.start_main_#t~nondet12#1| Int) (|ULTIMATE.start_#t~ret13#1| Int) (|ULTIMATE.start_main_~t2~0#1| Int) (|write~init~int_#ptr.offset| Int) (|write~init~int_#sizeOfWrittenType| Int) (|write~init~int_#value| Int) (|write~init~int_#ptr.base| Int) (thr2Thread1of1ForFork0_~_.offset Int) (|thr2Thread1of1ForFork0_#in~_.offset| Int) (|thr2Thread1of1ForFork0_#res.base| Int) (|thr2Thread1of1ForFork0_#res.offset| Int) (|thr2Thread1of1ForFork0_#in~_.base| Int) (thr2Thread1of1ForFork0_~_.base Int) (~unnamed7~0~PTHREAD_PROCESS_PRIVATE Int) (~unnamed3~0~PTHREAD_PRIO_NONE Int) (~unnamed9~0~PTHREAD_CANCEL_ASYNCHRONOUS Int) (~unnamed2~0~PTHREAD_MUTEX_ROBUST Int) (~unnamed10~0~memory_order_relaxed Int) (|#funAddr~thr2.offset| Int) (~unnamed3~0~PTHREAD_PRIO_PROTECT Int) (|#funAddr~thr1.offset| Int) (~unnamed1~0~PTHREAD_MUTEX_RECURSIVE Int) (~unnamed3~0~PTHREAD_PRIO_INHERIT Int) (~unnamed4~0~PTHREAD_RWLOCK_DEFAULT_NP Int) (~unnamed4~0~PTHREAD_RWLOCK_PREFER_READER_NP Int) (~unnamed0~0~PTHREAD_CREATE_JOINABLE Int) (~unnamed1~0~PTHREAD_MUTEX_ADAPTIVE_NP Int) (~unnamed2~0~PTHREAD_MUTEX_STALLED_NP Int) (~unnamed7~0~PTHREAD_PROCESS_SHARED Int) (~unnamed6~0~PTHREAD_SCOPE_SYSTEM Int) (~unnamed10~0~memory_order_acquire Int) (~unnamed5~0~PTHREAD_EXPLICIT_SCHED Int) (~unnamed9~0~PTHREAD_CANCEL_DEFERRED Int) (~unnamed10~0~memory_order_consume Int) (~unnamed2~0~PTHREAD_MUTEX_STALLED Int) (~unnamed1~0~PTHREAD_MUTEX_DEFAULT Int) (~unnamed8~0~PTHREAD_CANCEL_ENABLE Int) (~unnamed10~0~memory_order_acq_rel Int) (|#funAddr~thr2.base| Int) (~unnamed10~0~memory_order_release Int) (~unnamed1~0~PTHREAD_MUTEX_NORMAL Int) (~unnamed2~0~PTHREAD_MUTEX_ROBUST_NP Int) (~unnamed0~0~PTHREAD_CREATE_DETACHED Int) (~unnamed1~0~PTHREAD_MUTEX_RECURSIVE_NP Int) (|#funAddr~thr1.base| Int) (~unnamed5~0~PTHREAD_INHERIT_SCHED Int) (~unnamed10~0~memory_order_seq_cst Int) (~unnamed1~0~PTHREAD_MUTEX_TIMED_NP Int) (~unnamed1~0~PTHREAD_MUTEX_ERRORCHECK_NP Int) (~unnamed4~0~PTHREAD_RWLOCK_PREFER_WRITER_NONRECURSIVE_NP Int) (~unnamed1~0~PTHREAD_MUTEX_ERRORCHECK Int) (~unnamed8~0~PTHREAD_CANCEL_DISABLE Int) (~unnamed4~0~PTHREAD_RWLOCK_PREFER_WRITER_NP Int) (~unnamed6~0~PTHREAD_SCOPE_PROCESS Int) //@ semantics [1] {} true //@ semantics [2] {} false //@ semantics [3] {~y~0} (= ~y~0 0) //@ semantics [4] {} (not (= ~y~0 0)) //@ semantics [5] {} (= ~y~0 0) //@ semantics [6] {~b2~0} (= ~b2~0 0) //@ semantics [7] {~b2~0} (= ~b2~0 0) //@ semantics [8] {~y~0} (= 2 ~y~0) //@ semantics [9] {thr2Thread1of1ForFork0_#res.base,thr2Thread1of1ForFork0_#res.offset} (and (= |thr2Thread1of1ForFork0_#res.base| 0) (= |thr2Thread1of1ForFork0_#res.offset| 0)) //@ semantics [10] {} (= ~y~0 0) //@ semantics [11] {} (not (= ~y~0 0)) //@ semantics [12] {} (not (= 2 ~x~0)) //@ semantics [13] {} (= 2 ~x~0) //@ semantics [14] {} true //@ semantics [15] {~b2~0} (= ~b2~0 0) //@ semantics [16] {} (< ~b1~0 1) //@ semantics [17] {} (<= 1 ~b1~0) //@ semantics [18] {} (not (= 2 ~y~0)) //@ semantics [19] {} (= 2 ~y~0) //@ semantics [20] {} (= ~y~0 0) //@ semantics [21] {} (not (= ~y~0 0)) //@ semantics [22] {thr1Thread1of1ForFork1_~_.base,thr1Thread1of1ForFork1_~_.offset} (and (= thr1Thread1of1ForFork1_~_.base |thr1Thread1of1ForFork1_#in~_.base|) (= |thr1Thread1of1ForFork1_#in~_.offset| thr1Thread1of1ForFork1_~_.offset)) //@ semantics [23] {} false //@ semantics [24] {} true //@ semantics [25] {~X~0} (= ~X~0 0) //@ semantics [26] {~b1~0} (= ~b1~0 1) //@ semantics [27] {} (< 0 ~X~0) //@ semantics [28] {} (<= ~X~0 0) //@ semantics [29] {~x~0} (= ~x~0 1) //@ semantics [30] {ULTIMATE.start_main_~t1~0#1} (= |ULTIMATE.start_main_#t~pre9#1| |ULTIMATE.start_main_~t1~0#1|) //@ semantics [31] {} true //@ semantics [32] {ULTIMATE.start_main_#t~pre11#1} (= |ULTIMATE.start_main_#t~pre11#1| |#pthreadsForks|) //@ semantics [33] {} false //@ semantics [34] {~y~0} (= ~y~0 0) //@ semantics [35] {} (not (= ~y~0 0)) //@ semantics [36] {} (= ~y~0 0) //@ semantics [37] {~b1~0} (= ~b1~0 0) //@ semantics [38] {~b1~0} (= ~b1~0 0) //@ semantics [39] {~y~0} (= ~y~0 1) //@ semantics [40] {ULTIMATE.start_main_#t~pre11#1} true //@ semantics [41] {thr1Thread1of1ForFork1_#res.base,thr1Thread1of1ForFork1_#res.offset} (and (= |thr1Thread1of1ForFork1_#res.base| 0) (= |thr1Thread1of1ForFork1_#res.offset| 0)) //@ semantics [42] {} (= ~y~0 0) //@ semantics [43] {} (not (= ~y~0 0)) //@ semantics [44] {} (not (= ~x~0 1)) //@ semantics [45] {} (= ~x~0 1) //@ semantics [46] {} (and (= (select |#valid| 1) 1) (= 2 (select |#length| 1))) //@ semantics [47] {} true //@ semantics [48] {~b1~0} (= ~b1~0 0) //@ semantics [49] {} (< ~b2~0 1) //@ semantics [50] {} (<= 1 ~b2~0) //@ semantics [51] {} (not (= ~y~0 1)) //@ semantics [52] {} (= ~y~0 1) //@ semantics [53] {} (= ~y~0 0) //@ semantics [54] {} (not (= ~y~0 0)) //@ semantics [55] {} true //@ semantics [56] {thr2Thread1of1ForFork0_~_.offset,thr2Thread1of1ForFork0_#in~_.offset,thr2Thread1of1ForFork0_#res.base,thr2Thread1of1ForFork0_thidvar0,thr2Thread1of1ForFork0_thidvar1,thr2Thread1of1ForFork0_thidvar2,thr2Thread1of1ForFork0_#res.offset,thr2Thread1of1ForFork0_#in~_.base,thr2Thread1of1ForFork0_~_.base} (and (= thr2Thread1of1ForFork0_thidvar2 0) (= |thr2Thread1of1ForFork0_#in~_.offset| 0) (= |thr2Thread1of1ForFork0_#in~_.base| 0) (= thr2Thread1of1ForFork0_thidvar1 0) (= thr2Thread1of1ForFork0_thidvar0 |ULTIMATE.start_main_#t~pre11#1|)) //@ semantics [57] {} true //@ semantics [58] {thr1Thread1of1ForFork1_#in~_.offset,thr1Thread1of1ForFork1_~_.base,thr1Thread1of1ForFork1_#res.base,thr1Thread1of1ForFork1_#in~_.base,thr1Thread1of1ForFork1_~_.offset,thr1Thread1of1ForFork1_#res.offset,thr1Thread1of1ForFork1_thidvar1,thr1Thread1of1ForFork1_thidvar0} (and (= |ULTIMATE.start_main_#t~pre9#1| thr1Thread1of1ForFork1_thidvar0) (= thr1Thread1of1ForFork1_thidvar1 0) (= |thr1Thread1of1ForFork1_#in~_.base| 0) (= |thr1Thread1of1ForFork1_#in~_.offset| 0)) //@ semantics [59] {} (and (= |ULTIMATE.start_main_~t1~0#1| thr1Thread1of1ForFork1_thidvar0) (= thr1Thread1of1ForFork1_thidvar1 0)) //@ semantics [60] {ULTIMATE.start_main_#t~nondet10#1} true //@ semantics [61] {} (and (= |ULTIMATE.start_main_~t2~0#1| thr2Thread1of1ForFork0_thidvar0) (= thr2Thread1of1ForFork0_thidvar1 0) (= thr2Thread1of1ForFork0_thidvar2 0)) //@ semantics [62] {~b1~0} (= ~b1~0 0) //@ semantics [63] {~X~0} (= ~X~0 0) //@ semantics [64] {~y~0} (= ~y~0 0) //@ semantics [65] {} (= (select |#valid| 0) 0) //@ semantics [66] {#pthreadsForks} (= (+ 1 |old(#pthreadsForks)|) |#pthreadsForks|) //@ semantics [67] {ULTIMATE.start_main_#res#1} (= |ULTIMATE.start_main_#res#1| 0) //@ semantics [68] {} (= (select (select |#memory_int| 1) 1) 0) //@ semantics [69] {} (= 48 (select (select |#memory_int| 1) 0)) //@ semantics [70] {} (< 0 |#StackHeapBarrier|) //@ semantics [71] {~x~0} (= ~x~0 0) //@ semantics [72] {ULTIMATE.start_main_#t~pre9#1} true //@ semantics [73] {ULTIMATE.start_main_~t2~0#1} (= |ULTIMATE.start_main_~t2~0#1| |ULTIMATE.start_main_#t~pre11#1|) //@ semantics [74] {ULTIMATE.start_main_~t1~0#1} true //@ semantics [75] {ULTIMATE.start_main_#t~nondet12#1} true //@ semantics [76] {} (and (= (select |#length| 2) 10) (= (select |#valid| 2) 1)) //@ semantics [77] {#pthreadsForks} (= (+ 1 |old(#pthreadsForks)|) |#pthreadsForks|) //@ semantics [78] {ULTIMATE.start_main_#res#1} true //@ semantics [79] {~b2~0} (= ~b2~0 0) //@ semantics [80] {ULTIMATE.start_main_~t1~0#1,ULTIMATE.start_main_#t~nondet10#1,ULTIMATE.start_main_#t~pre11#1,ULTIMATE.start_main_#t~pre9#1,ULTIMATE.start_main_#t~nondet12#1,ULTIMATE.start_main_~t2~0#1} true //@ semantics [81] {ULTIMATE.start_#t~ret13#1} (= |ULTIMATE.start_main_#res#1| |ULTIMATE.start_#t~ret13#1|) //@ semantics [82] {ULTIMATE.start_main_~t1~0#1,ULTIMATE.start_main_#t~nondet10#1,ULTIMATE.start_main_#t~pre11#1,ULTIMATE.start_main_#t~pre9#1,ULTIMATE.start_main_#t~nondet12#1,ULTIMATE.start_main_~t2~0#1} true //@ semantics [83] {ULTIMATE.start_main_~t2~0#1} true //@ semantics [84] {ULTIMATE.start_main_#t~pre9#1} (= |ULTIMATE.start_main_#t~pre9#1| |#pthreadsForks|) //@ semantics [85] {} true //@ semantics [86] {thr2Thread1of1ForFork0_~_.offset,thr2Thread1of1ForFork0_~_.base} (and (= |thr2Thread1of1ForFork0_#in~_.base| thr2Thread1of1ForFork0_~_.base) (= thr2Thread1of1ForFork0_~_.offset |thr2Thread1of1ForFork0_#in~_.offset|)) //@ semantics [87] {} false //@ semantics [88] {} true //@ semantics [89] {~X~0} (= ~X~0 1) //@ semantics [90] {~b2~0} (= ~b2~0 1) //@ semantics [91] {} (< ~X~0 1) //@ semantics [92] {} (<= 1 ~X~0) //@ semantics [93] {~x~0} (= 2 ~x~0) PetriNet program = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, places = {l0 l1 l2 l3 l4 l5 l6 l7 l8 l9 l10 l11 l12 l13 l14 l15 l16 l17 l18 l19 l20 l21 l22 l23 l24 l25 l26 l27 l28 l29 l30 l31 l32 l33 l34 l35 l36 l37 l38 l39 l40 l41 l42 l43 l44 l45 l46 l47 l48 l49 l50 l51 l52 l53 l54 l55 l56 l57 l58 l59 l60 l61 l62 l63 l64 l65 l66 l67 l68 l69 l70 l71 l72 l73 l74 l75 l76 l77 l78 l79 l80 l81 l82 l83 }, transitions = { ({l48 } "[30]" {l43 }) ({l35 } "[32]" {l82 }) ({l27 } "[18]" {l1 }) ({l27 } "[19]" {l26 }) ({l60 } "[29]" {l15 }) ({l66 } "[40]" {l0 }) ({l55 l20 l75 } "[59]" {l54 l17 }) ({l32 } "[12]" {l7 }) ({l32 } "[13]" {l26 }) ({l55 l43 } "[57]" {l50 }) ({l54 l43 } "[58]" {l53 l2 l55 }) ({l39 } "[27]" {l76 }) ({l39 } "[28]" {l42 }) ({l81 } "[46]" {l71 }) ({l22 } "[90]" {l52 }) ({l23 } "[60]" {l35 }) ({l77 } "[53]" {l67 }) ({l77 } "[54]" {l77 }) ({l2 } "[22]" {l37 }) ({l62 } "[9]" {l8 }) ({l46 } "[1]" {l11 }) ({l46 } "[2]" {l5 }) ({l14 } "[6]" {l62 }) ({l61 } "[62]" {l74 }) ({l64 } "[63]" {l72 }) ({l44 } "[38]" {l63 }) ({l36 } "[91]" {l46 }) ({l36 } "[92]" {l5 }) ({l21 } "[64]" {l61 }) ({l37 } "[23]" {l80 }) ({l37 } "[24]" {l67 }) ({l40 } "[47]" {l20 }) ({l69 } "[48]" {l49 }) ({l1 } "[20]" {l22 }) ({l1 } "[21]" {l1 }) ({l41 } "[65]" {l16 }) ({l3 } "[66]" {l48 }) ({l47 } "[8]" {l32 }) ({l78 } "[7]" {l33 }) ({l80 } "[25]" {l39 }) ({l73 } "[67]" {l24 }) ({l67 } "[26]" {l60 }) ({l76 } "[31]" {l34 }) ({l76 } "[33]" {l42 }) ({l12 } "[68]" {l29 }) ({l71 } "[69]" {l12 }) ({l45 } "[39]" {l38 }) ({l30 } "[86]" {l6 }) ({l49 } "[49]" {l10 }) ({l49 } "[50]" {l49 }) ({l16 } "[70]" {l81 }) ({l15 } "[35]" {l44 }) ({l15 } "[36]" {l45 }) ({l5 } "[3]" {l14 }) ({l59 } "[71]" {l21 }) ({l17 l51 l58 } "[61]" {l56 l73 }) ({l53 } "[72]" {l23 }) ({l31 } "[37]" {l18 }) ({l8 } "[14]" {l51 }) ({l83 } "[73]" {l13 }) ({l6 } "[87]" {l26 }) ({l6 } "[88]" {l22 }) ({l33 } "[10]" {l22 }) ({l33 } "[11]" {l33 }) ({l18 } "[41]" {l40 }) ({l68 } "[74]" {l25 }) ({l0 } "[75]" {l75 }) ({l57 } "[4]" {l78 }) ({l57 } "[5]" {l47 }) ({l29 } "[76]" {l59 }) ({l82 } "[77]" {l83 }) ({l10 } "[51]" {l77 }) ({l10 } "[52]" {l80 }) ({l7 } "[15]" {l79 }) ({l58 l13 } "[55]" {l28 }) ({l56 l13 } "[56]" {l66 l58 l30 }) ({l63 } "[42]" {l67 }) ({l63 } "[43]" {l63 }) ({l52 } "[93]" {l57 }) ({l72 } "[78]" {l19 }) ({l74 } "[79]" {l64 }) ({l19 } "[80]" {l68 }) ({l24 } "[81]" {l65 }) ({l38 } "[44]" {l69 }) ({l38 } "[45]" {l80 }) ({l65 } "[82]" {l9 }) ({l42 } "[34]" {l31 }) ({l25 } "[83]" {l4 }) ({l79 } "[16]" {l27 }) ({l79 } "[17]" {l79 }) ({l4 } "[84]" {l3 }) ({l26 } "[89]" {l36 }) ({l9 } "[85]" {l70 }) }, initialMarking = {l54 l56 l41 }, acceptingPlaces = {l34 l11 l50 l28 } ); FiniteAutomaton proof1 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"false" "true" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("false" "[1]" "false") ("false" "[3]" "false") ("false" "[4]" "false") ("false" "[5]" "false") ("false" "[6]" "false") ("false" "[7]" "false") ("false" "[8]" "false") ("false" "[9]" "false") ("false" "[10]" "false") ("false" "[11]" "false") ("false" "[12]" "false") ("false" "[13]" "false") ("false" "[14]" "false") ("false" "[15]" "false") ("false" "[16]" "false") ("false" "[17]" "false") ("false" "[18]" "false") ("false" "[19]" "false") ("false" "[20]" "false") ("false" "[21]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[25]" "false") ("false" "[26]" "false") ("false" "[27]" "false") ("false" "[28]" "false") ("false" "[29]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[34]" "false") ("false" "[35]" "false") ("false" "[36]" "false") ("false" "[37]" "false") ("false" "[38]" "false") ("false" "[39]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[42]" "false") ("false" "[43]" "false") ("false" "[44]" "false") ("false" "[45]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[48]" "false") ("false" "[49]" "false") ("false" "[50]" "false") ("false" "[51]" "false") ("false" "[52]" "false") ("false" "[53]" "false") ("false" "[54]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[62]" "false") ("false" "[63]" "false") ("false" "[64]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[71]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" "false") ("false" "[76]" "false") ("false" "[77]" "false") ("false" "[78]" "false") ("false" "[79]" "false") ("false" "[80]" "false") ("false" "[81]" "false") ("false" "[82]" "false") ("false" "[83]" "false") ("false" "[84]" "false") ("false" "[85]" "false") ("false" "[86]" "false") ("false" "[88]" "false") ("false" "[89]" "false") ("false" "[90]" "false") ("false" "[91]" "false") ("false" "[92]" "false") ("false" "[93]" "false") ("true" "[1]" "true") ("true" "[2]" "false") ("true" "[3]" "true") ("true" "[4]" "true") ("true" "[5]" "true") ("true" "[6]" "true") ("true" "[7]" "true") ("true" "[8]" "true") ("true" "[9]" "true") ("true" "[10]" "true") ("true" "[11]" "true") ("true" "[12]" "true") ("true" "[13]" "true") ("true" "[14]" "true") ("true" "[15]" "true") ("true" "[16]" "true") ("true" "[17]" "true") ("true" "[18]" "true") ("true" "[19]" "true") ("true" "[20]" "true") ("true" "[21]" "true") ("true" "[22]" "true") ("true" "[23]" "false") ("true" "[24]" "true") ("true" "[25]" "true") ("true" "[26]" "true") ("true" "[27]" "true") ("true" "[28]" "true") ("true" "[29]" "true") ("true" "[30]" "true") ("true" "[31]" "true") ("true" "[32]" "true") ("true" "[33]" "false") ("true" "[34]" "true") ("true" "[35]" "true") ("true" "[36]" "true") ("true" "[37]" "true") ("true" "[38]" "true") ("true" "[39]" "true") ("true" "[40]" "true") ("true" "[41]" "true") ("true" "[42]" "true") ("true" "[43]" "true") ("true" "[44]" "true") ("true" "[45]" "true") ("true" "[46]" "true") ("true" "[47]" "true") ("true" "[48]" "true") ("true" "[49]" "true") ("true" "[50]" "true") ("true" "[51]" "true") ("true" "[52]" "true") ("true" "[53]" "true") ("true" "[54]" "true") ("true" "[55]" "true") ("true" "[56]" "true") ("true" "[57]" "true") ("true" "[58]" "true") ("true" "[59]" "true") ("true" "[60]" "true") ("true" "[61]" "true") ("true" "[62]" "true") ("true" "[63]" "true") ("true" "[64]" "true") ("true" "[65]" "true") ("true" "[66]" "true") ("true" "[67]" "true") ("true" "[68]" "true") ("true" "[69]" "true") ("true" "[70]" "true") ("true" "[71]" "true") ("true" "[72]" "true") ("true" "[73]" "true") ("true" "[74]" "true") ("true" "[75]" "true") ("true" "[76]" "true") ("true" "[77]" "true") ("true" "[78]" "true") ("true" "[79]" "true") ("true" "[80]" "true") ("true" "[81]" "true") ("true" "[82]" "true") ("true" "[83]" "true") ("true" "[84]" "true") ("true" "[85]" "true") ("true" "[86]" "true") ("true" "[87]" "false") ("true" "[88]" "true") ("true" "[89]" "true") ("true" "[90]" "true") ("true" "[91]" "true") ("true" "[92]" "true") ("true" "[93]" "true") } ); FiniteAutomaton proof2 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"false" "(= ~X~0 0)" "true" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("false" "[1]" "false") ("false" "[3]" "false") ("false" "[4]" "false") ("false" "[5]" "false") ("false" "[6]" "false") ("false" "[7]" "false") ("false" "[8]" "false") ("false" "[9]" "false") ("false" "[10]" "false") ("false" "[11]" "false") ("false" "[12]" "false") ("false" "[13]" "false") ("false" "[14]" "false") ("false" "[15]" "false") ("false" "[16]" "false") ("false" "[17]" "false") ("false" "[18]" "false") ("false" "[19]" "false") ("false" "[20]" "false") ("false" "[21]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[26]" "false") ("false" "[29]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[34]" "false") ("false" "[35]" "false") ("false" "[36]" "false") ("false" "[37]" "false") ("false" "[38]" "false") ("false" "[39]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[42]" "false") ("false" "[43]" "false") ("false" "[44]" "false") ("false" "[45]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[48]" "false") ("false" "[49]" "false") ("false" "[50]" "false") ("false" "[51]" "false") ("false" "[52]" "false") ("false" "[53]" "false") ("false" "[54]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[62]" "false") ("false" "[64]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[71]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" "false") ("false" "[76]" "false") ("false" "[77]" "false") ("false" "[78]" "false") ("false" "[79]" "false") ("false" "[80]" "false") ("false" "[81]" "false") ("false" "[82]" "false") ("false" "[83]" "false") ("false" "[84]" "false") ("false" "[85]" "false") ("false" "[86]" "false") ("false" "[88]" "false") ("false" "[90]" "false") ("false" "[93]" "false") ("(= ~X~0 0)" "[1]" "(= ~X~0 0)") ("(= ~X~0 0)" "[3]" "(= ~X~0 0)") ("(= ~X~0 0)" "[4]" "(= ~X~0 0)") ("(= ~X~0 0)" "[5]" "(= ~X~0 0)") ("(= ~X~0 0)" "[6]" "(= ~X~0 0)") ("(= ~X~0 0)" "[7]" "(= ~X~0 0)") ("(= ~X~0 0)" "[8]" "(= ~X~0 0)") ("(= ~X~0 0)" "[9]" "(= ~X~0 0)") ("(= ~X~0 0)" "[10]" "(= ~X~0 0)") ("(= ~X~0 0)" "[11]" "(= ~X~0 0)") ("(= ~X~0 0)" "[12]" "(= ~X~0 0)") ("(= ~X~0 0)" "[13]" "(= ~X~0 0)") ("(= ~X~0 0)" "[14]" "(= ~X~0 0)") ("(= ~X~0 0)" "[15]" "(= ~X~0 0)") ("(= ~X~0 0)" "[16]" "(= ~X~0 0)") ("(= ~X~0 0)" "[17]" "(= ~X~0 0)") ("(= ~X~0 0)" "[18]" "(= ~X~0 0)") ("(= ~X~0 0)" "[19]" "(= ~X~0 0)") ("(= ~X~0 0)" "[20]" "(= ~X~0 0)") ("(= ~X~0 0)" "[21]" "(= ~X~0 0)") ("(= ~X~0 0)" "[22]" "(= ~X~0 0)") ("(= ~X~0 0)" "[24]" "(= ~X~0 0)") ("(= ~X~0 0)" "[25]" "(= ~X~0 0)") ("(= ~X~0 0)" "[26]" "(= ~X~0 0)") ("(= ~X~0 0)" "[27]" "false") ("(= ~X~0 0)" "[28]" "(= ~X~0 0)") ("(= ~X~0 0)" "[29]" "(= ~X~0 0)") ("(= ~X~0 0)" "[30]" "(= ~X~0 0)") ("(= ~X~0 0)" "[31]" "(= ~X~0 0)") ("(= ~X~0 0)" "[32]" "(= ~X~0 0)") ("(= ~X~0 0)" "[34]" "(= ~X~0 0)") ("(= ~X~0 0)" "[35]" "(= ~X~0 0)") ("(= ~X~0 0)" "[36]" "(= ~X~0 0)") ("(= ~X~0 0)" "[37]" "(= ~X~0 0)") ("(= ~X~0 0)" "[38]" "(= ~X~0 0)") ("(= ~X~0 0)" "[39]" "(= ~X~0 0)") ("(= ~X~0 0)" "[40]" "(= ~X~0 0)") ("(= ~X~0 0)" "[41]" "(= ~X~0 0)") ("(= ~X~0 0)" "[42]" "(= ~X~0 0)") ("(= ~X~0 0)" "[43]" "(= ~X~0 0)") ("(= ~X~0 0)" "[44]" "(= ~X~0 0)") ("(= ~X~0 0)" "[45]" "(= ~X~0 0)") ("(= ~X~0 0)" "[46]" "(= ~X~0 0)") ("(= ~X~0 0)" "[47]" "(= ~X~0 0)") ("(= ~X~0 0)" "[48]" "(= ~X~0 0)") ("(= ~X~0 0)" "[49]" "(= ~X~0 0)") ("(= ~X~0 0)" "[50]" "(= ~X~0 0)") ("(= ~X~0 0)" "[51]" "(= ~X~0 0)") ("(= ~X~0 0)" "[52]" "(= ~X~0 0)") ("(= ~X~0 0)" "[53]" "(= ~X~0 0)") ("(= ~X~0 0)" "[54]" "(= ~X~0 0)") ("(= ~X~0 0)" "[55]" "(= ~X~0 0)") ("(= ~X~0 0)" "[56]" "(= ~X~0 0)") ("(= ~X~0 0)" "[57]" "(= ~X~0 0)") ("(= ~X~0 0)" "[58]" "(= ~X~0 0)") ("(= ~X~0 0)" "[59]" "(= ~X~0 0)") ("(= ~X~0 0)" "[60]" "(= ~X~0 0)") ("(= ~X~0 0)" "[61]" "(= ~X~0 0)") ("(= ~X~0 0)" "[62]" "(= ~X~0 0)") ("(= ~X~0 0)" "[64]" "(= ~X~0 0)") ("(= ~X~0 0)" "[65]" "(= ~X~0 0)") ("(= ~X~0 0)" "[66]" "(= ~X~0 0)") ("(= ~X~0 0)" "[67]" "(= ~X~0 0)") ("(= ~X~0 0)" "[68]" "(= ~X~0 0)") ("(= ~X~0 0)" "[69]" "(= ~X~0 0)") ("(= ~X~0 0)" "[70]" "(= ~X~0 0)") ("(= ~X~0 0)" "[71]" "(= ~X~0 0)") ("(= ~X~0 0)" "[72]" "(= ~X~0 0)") ("(= ~X~0 0)" "[73]" "(= ~X~0 0)") ("(= ~X~0 0)" "[74]" "(= ~X~0 0)") ("(= ~X~0 0)" "[75]" "(= ~X~0 0)") ("(= ~X~0 0)" "[76]" "(= ~X~0 0)") ("(= ~X~0 0)" "[77]" "(= ~X~0 0)") ("(= ~X~0 0)" "[78]" "(= ~X~0 0)") ("(= ~X~0 0)" "[79]" "(= ~X~0 0)") ("(= ~X~0 0)" "[80]" "(= ~X~0 0)") ("(= ~X~0 0)" "[81]" "(= ~X~0 0)") ("(= ~X~0 0)" "[82]" "(= ~X~0 0)") ("(= ~X~0 0)" "[83]" "(= ~X~0 0)") ("(= ~X~0 0)" "[84]" "(= ~X~0 0)") ("(= ~X~0 0)" "[85]" "(= ~X~0 0)") ("(= ~X~0 0)" "[86]" "(= ~X~0 0)") ("(= ~X~0 0)" "[88]" "(= ~X~0 0)") ("(= ~X~0 0)" "[89]" "true") ("(= ~X~0 0)" "[90]" "(= ~X~0 0)") ("(= ~X~0 0)" "[91]" "(= ~X~0 0)") ("(= ~X~0 0)" "[92]" "false") ("(= ~X~0 0)" "[93]" "(= ~X~0 0)") ("true" "[1]" "true") ("true" "[3]" "true") ("true" "[4]" "true") ("true" "[5]" "true") ("true" "[6]" "true") ("true" "[7]" "true") ("true" "[8]" "true") ("true" "[9]" "true") ("true" "[10]" "true") ("true" "[11]" "true") ("true" "[12]" "true") ("true" "[13]" "true") ("true" "[14]" "true") ("true" "[15]" "true") ("true" "[16]" "true") ("true" "[17]" "true") ("true" "[18]" "true") ("true" "[19]" "true") ("true" "[20]" "true") ("true" "[21]" "true") ("true" "[22]" "true") ("true" "[24]" "true") ("true" "[25]" "(= ~X~0 0)") ("true" "[26]" "true") ("true" "[27]" "true") ("true" "[28]" "true") ("true" "[29]" "true") ("true" "[30]" "true") ("true" "[31]" "true") ("true" "[32]" "true") ("true" "[34]" "true") ("true" "[35]" "true") ("true" "[36]" "true") ("true" "[37]" "true") ("true" "[38]" "true") ("true" "[39]" "true") ("true" "[40]" "true") ("true" "[41]" "true") ("true" "[42]" "true") ("true" "[43]" "true") ("true" "[44]" "true") ("true" "[45]" "true") ("true" "[46]" "true") ("true" "[47]" "true") ("true" "[48]" "true") ("true" "[49]" "true") ("true" "[50]" "true") ("true" "[51]" "true") ("true" "[52]" "true") ("true" "[53]" "true") ("true" "[54]" "true") ("true" "[55]" "true") ("true" "[57]" "true") ("true" "[59]" "true") ("true" "[60]" "true") ("true" "[61]" "true") ("true" "[62]" "true") ("true" "[63]" "(= ~X~0 0)") ("true" "[64]" "true") ("true" "[65]" "true") ("true" "[66]" "true") ("true" "[67]" "true") ("true" "[68]" "true") ("true" "[69]" "true") ("true" "[70]" "true") ("true" "[71]" "true") ("true" "[72]" "true") ("true" "[73]" "true") ("true" "[74]" "true") ("true" "[75]" "true") ("true" "[76]" "true") ("true" "[77]" "true") ("true" "[78]" "true") ("true" "[79]" "true") ("true" "[80]" "true") ("true" "[81]" "true") ("true" "[82]" "true") ("true" "[83]" "true") ("true" "[84]" "true") ("true" "[85]" "true") ("true" "[86]" "true") ("true" "[88]" "true") ("true" "[90]" "true") ("true" "[91]" "true") ("true" "[92]" "true") ("true" "[93]" "true") } ); FiniteAutomaton proof3 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"false" "true" "(= ~X~0 1)" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("false" "[1]" "false") ("false" "[3]" "false") ("false" "[4]" "false") ("false" "[5]" "false") ("false" "[6]" "false") ("false" "[7]" "false") ("false" "[8]" "false") ("false" "[9]" "false") ("false" "[10]" "false") ("false" "[11]" "false") ("false" "[12]" "false") ("false" "[13]" "false") ("false" "[14]" "false") ("false" "[15]" "false") ("false" "[16]" "false") ("false" "[17]" "false") ("false" "[18]" "false") ("false" "[19]" "false") ("false" "[20]" "false") ("false" "[21]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[26]" "false") ("false" "[29]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[34]" "false") ("false" "[35]" "false") ("false" "[36]" "false") ("false" "[37]" "false") ("false" "[38]" "false") ("false" "[39]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[42]" "false") ("false" "[43]" "false") ("false" "[44]" "false") ("false" "[45]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[48]" "false") ("false" "[49]" "false") ("false" "[50]" "false") ("false" "[51]" "false") ("false" "[52]" "false") ("false" "[53]" "false") ("false" "[54]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[62]" "false") ("false" "[64]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[71]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" "false") ("false" "[76]" "false") ("false" "[77]" "false") ("false" "[78]" "false") ("false" "[79]" "false") ("false" "[80]" "false") ("false" "[81]" "false") ("false" "[82]" "false") ("false" "[83]" "false") ("false" "[84]" "false") ("false" "[85]" "false") ("false" "[86]" "false") ("false" "[88]" "false") 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"true") ("true" "[91]" "true") ("true" "[93]" "true") ("(= ~X~0 1)" "[1]" "(= ~X~0 1)") ("(= ~X~0 1)" "[3]" "(= ~X~0 1)") ("(= ~X~0 1)" "[4]" "(= ~X~0 1)") ("(= ~X~0 1)" "[5]" "(= ~X~0 1)") ("(= ~X~0 1)" "[6]" "(= ~X~0 1)") ("(= ~X~0 1)" "[7]" "(= ~X~0 1)") ("(= ~X~0 1)" "[8]" "(= ~X~0 1)") ("(= ~X~0 1)" "[9]" "(= ~X~0 1)") ("(= ~X~0 1)" "[10]" "(= ~X~0 1)") ("(= ~X~0 1)" "[11]" "(= ~X~0 1)") ("(= ~X~0 1)" "[12]" "(= ~X~0 1)") ("(= ~X~0 1)" "[13]" "(= ~X~0 1)") ("(= ~X~0 1)" "[14]" "(= ~X~0 1)") ("(= ~X~0 1)" "[15]" "(= ~X~0 1)") ("(= ~X~0 1)" "[16]" "(= ~X~0 1)") ("(= ~X~0 1)" "[17]" "(= ~X~0 1)") ("(= ~X~0 1)" "[18]" "(= ~X~0 1)") ("(= ~X~0 1)" "[19]" "(= ~X~0 1)") ("(= ~X~0 1)" "[20]" "(= ~X~0 1)") ("(= ~X~0 1)" "[21]" "(= ~X~0 1)") ("(= ~X~0 1)" "[22]" "(= ~X~0 1)") ("(= ~X~0 1)" "[24]" "(= ~X~0 1)") ("(= ~X~0 1)" "[25]" "true") ("(= ~X~0 1)" "[26]" "(= ~X~0 1)") ("(= ~X~0 1)" "[27]" "(= ~X~0 1)") ("(= ~X~0 1)" "[28]" "false") ("(= ~X~0 1)" "[29]" "(= ~X~0 1)") ("(= ~X~0 1)" "[30]" "(= ~X~0 1)") ("(= ~X~0 1)" "[31]" "(= ~X~0 1)") ("(= ~X~0 1)" "[32]" "(= ~X~0 1)") ("(= ~X~0 1)" "[34]" "(= ~X~0 1)") ("(= ~X~0 1)" "[35]" "(= ~X~0 1)") ("(= ~X~0 1)" "[36]" "(= ~X~0 1)") ("(= ~X~0 1)" "[37]" "(= ~X~0 1)") ("(= ~X~0 1)" "[38]" "(= ~X~0 1)") ("(= ~X~0 1)" "[39]" "(= ~X~0 1)") ("(= ~X~0 1)" "[40]" "(= ~X~0 1)") ("(= ~X~0 1)" "[41]" "(= ~X~0 1)") ("(= ~X~0 1)" "[42]" "(= ~X~0 1)") ("(= ~X~0 1)" "[43]" "(= ~X~0 1)") ("(= ~X~0 1)" "[44]" "(= ~X~0 1)") ("(= ~X~0 1)" "[45]" "(= ~X~0 1)") ("(= ~X~0 1)" "[46]" "(= ~X~0 1)") ("(= ~X~0 1)" "[47]" "(= ~X~0 1)") ("(= ~X~0 1)" "[48]" "(= ~X~0 1)") ("(= ~X~0 1)" "[49]" "(= ~X~0 1)") ("(= ~X~0 1)" "[50]" "(= ~X~0 1)") ("(= ~X~0 1)" "[51]" "(= ~X~0 1)") ("(= ~X~0 1)" "[52]" "(= ~X~0 1)") ("(= ~X~0 1)" "[53]" "(= ~X~0 1)") ("(= ~X~0 1)" "[54]" "(= ~X~0 1)") ("(= ~X~0 1)" "[55]" "(= ~X~0 1)") ("(= ~X~0 1)" "[57]" "(= ~X~0 1)") ("(= ~X~0 1)" "[59]" "(= ~X~0 1)") ("(= ~X~0 1)" "[60]" "(= ~X~0 1)") ("(= ~X~0 1)" "[61]" "(= ~X~0 1)") ("(= ~X~0 1)" "[62]" "(= ~X~0 1)") ("(= ~X~0 1)" "[64]" "(= ~X~0 1)") ("(= ~X~0 1)" "[65]" "(= ~X~0 1)") ("(= ~X~0 1)" "[66]" "(= ~X~0 1)") ("(= ~X~0 1)" "[67]" "(= ~X~0 1)") ("(= ~X~0 1)" "[68]" "(= ~X~0 1)") ("(= ~X~0 1)" "[69]" "(= ~X~0 1)") ("(= ~X~0 1)" "[70]" "(= ~X~0 1)") ("(= ~X~0 1)" "[71]" "(= ~X~0 1)") ("(= ~X~0 1)" "[72]" "(= ~X~0 1)") ("(= ~X~0 1)" "[73]" "(= ~X~0 1)") ("(= ~X~0 1)" "[74]" "(= ~X~0 1)") ("(= ~X~0 1)" "[75]" "(= ~X~0 1)") ("(= ~X~0 1)" "[76]" "(= ~X~0 1)") ("(= ~X~0 1)" "[77]" "(= ~X~0 1)") ("(= ~X~0 1)" "[78]" "(= ~X~0 1)") ("(= ~X~0 1)" "[79]" "(= ~X~0 1)") ("(= ~X~0 1)" "[80]" "(= ~X~0 1)") ("(= ~X~0 1)" "[81]" "(= ~X~0 1)") ("(= ~X~0 1)" "[82]" "(= ~X~0 1)") ("(= ~X~0 1)" "[83]" "(= ~X~0 1)") ("(= ~X~0 1)" "[84]" "(= ~X~0 1)") ("(= ~X~0 1)" "[85]" "(= ~X~0 1)") ("(= ~X~0 1)" "[86]" "(= ~X~0 1)") ("(= ~X~0 1)" "[88]" "(= ~X~0 1)") ("(= ~X~0 1)" "[90]" "(= ~X~0 1)") ("(= ~X~0 1)" "[91]" "false") ("(= ~X~0 1)" "[92]" "(= ~X~0 1)") ("(= ~X~0 1)" "[93]" "(= ~X~0 1)") } ); FiniteAutomaton proof4 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"false" "(= ~y~0 1)" "true" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("false" "[1]" "false") ("false" "[6]" "false") ("false" "[7]" "false") ("false" "[9]" "false") ("false" "[12]" "false") ("false" "[13]" "false") ("false" "[14]" "false") ("false" "[15]" "false") ("false" "[16]" "false") ("false" "[17]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[25]" "false") ("false" "[26]" "false") ("false" "[27]" "false") ("false" "[28]" "false") ("false" "[29]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[37]" "false") ("false" "[38]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[44]" "false") ("false" "[45]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[48]" "false") ("false" "[49]" "false") ("false" "[50]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[62]" "false") ("false" "[63]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[71]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" "false") ("false" "[76]" "false") ("false" "[77]" "false") ("false" "[78]" "false") ("false" "[79]" "false") ("false" "[80]" "false") ("false" "[81]" "false") ("false" "[82]" "false") ("false" "[83]" "false") ("false" "[84]" "false") ("false" "[85]" "false") ("false" "[86]" "false") ("false" "[88]" "false") ("false" "[89]" "false") ("false" "[90]" "false") ("false" "[91]" "false") ("false" "[92]" "false") ("false" "[93]" "false") ("(= ~y~0 1)" "[1]" "(= ~y~0 1)") ("(= ~y~0 1)" "[3]" "true") ("(= ~y~0 1)" "[4]" "(= ~y~0 1)") ("(= ~y~0 1)" "[5]" "false") ("(= ~y~0 1)" "[6]" "(= ~y~0 1)") ("(= ~y~0 1)" "[7]" "(= ~y~0 1)") ("(= ~y~0 1)" "[8]" "true") ("(= ~y~0 1)" "[9]" "(= ~y~0 1)") ("(= ~y~0 1)" "[10]" "false") ("(= ~y~0 1)" "[11]" "(= ~y~0 1)") ("(= ~y~0 1)" "[12]" "(= ~y~0 1)") ("(= ~y~0 1)" "[13]" "(= ~y~0 1)") ("(= ~y~0 1)" "[14]" "(= ~y~0 1)") ("(= ~y~0 1)" "[15]" "(= ~y~0 1)") ("(= ~y~0 1)" "[16]" "(= ~y~0 1)") ("(= ~y~0 1)" "[17]" "(= ~y~0 1)") ("(= ~y~0 1)" "[18]" "(= ~y~0 1)") ("(= ~y~0 1)" "[19]" "false") ("(= ~y~0 1)" "[20]" "false") ("(= ~y~0 1)" "[21]" "(= ~y~0 1)") ("(= ~y~0 1)" "[22]" "(= ~y~0 1)") ("(= ~y~0 1)" "[24]" "(= ~y~0 1)") ("(= ~y~0 1)" "[25]" "(= ~y~0 1)") ("(= ~y~0 1)" "[26]" "(= ~y~0 1)") ("(= ~y~0 1)" "[27]" "(= ~y~0 1)") ("(= ~y~0 1)" "[28]" "(= ~y~0 1)") ("(= ~y~0 1)" "[29]" "(= ~y~0 1)") ("(= ~y~0 1)" "[30]" "(= ~y~0 1)") ("(= ~y~0 1)" "[31]" "(= ~y~0 1)") ("(= ~y~0 1)" "[32]" "(= ~y~0 1)") ("(= ~y~0 1)" "[34]" "true") ("(= ~y~0 1)" "[37]" "(= ~y~0 1)") ("(= ~y~0 1)" "[38]" "(= ~y~0 1)") ("(= ~y~0 1)" "[40]" "(= ~y~0 1)") ("(= ~y~0 1)" "[41]" "(= ~y~0 1)") ("(= ~y~0 1)" "[44]" "(= ~y~0 1)") ("(= ~y~0 1)" "[45]" "(= ~y~0 1)") ("(= ~y~0 1)" "[46]" "(= ~y~0 1)") ("(= ~y~0 1)" "[47]" "(= ~y~0 1)") ("(= ~y~0 1)" "[48]" "(= ~y~0 1)") ("(= ~y~0 1)" "[49]" "(= ~y~0 1)") ("(= ~y~0 1)" "[50]" "(= ~y~0 1)") ("(= ~y~0 1)" "[51]" "false") ("(= ~y~0 1)" "[52]" "(= ~y~0 1)") ("(= ~y~0 1)" "[55]" "(= ~y~0 1)") ("(= ~y~0 1)" "[56]" "(= ~y~0 1)") ("(= ~y~0 1)" "[57]" "(= ~y~0 1)") ("(= ~y~0 1)" "[60]" "(= ~y~0 1)") ("(= ~y~0 1)" "[62]" "(= ~y~0 1)") ("(= ~y~0 1)" "[63]" "(= ~y~0 1)") ("(= ~y~0 1)" "[65]" "(= ~y~0 1)") ("(= ~y~0 1)" "[66]" "(= ~y~0 1)") ("(= ~y~0 1)" "[67]" "(= ~y~0 1)") ("(= ~y~0 1)" "[68]" "(= ~y~0 1)") ("(= ~y~0 1)" "[69]" "(= ~y~0 1)") ("(= ~y~0 1)" "[70]" "(= ~y~0 1)") ("(= ~y~0 1)" "[71]" "(= ~y~0 1)") ("(= ~y~0 1)" "[72]" "(= ~y~0 1)") ("(= ~y~0 1)" "[73]" "(= ~y~0 1)") ("(= ~y~0 1)" "[74]" "(= ~y~0 1)") ("(= ~y~0 1)" "[75]" "(= ~y~0 1)") ("(= ~y~0 1)" "[76]" "(= ~y~0 1)") ("(= ~y~0 1)" "[77]" "(= ~y~0 1)") ("(= ~y~0 1)" "[78]" "(= ~y~0 1)") ("(= ~y~0 1)" "[79]" "(= ~y~0 1)") ("(= ~y~0 1)" "[80]" "(= ~y~0 1)") ("(= ~y~0 1)" "[81]" "(= ~y~0 1)") ("(= ~y~0 1)" "[82]" "(= ~y~0 1)") ("(= ~y~0 1)" "[83]" "(= ~y~0 1)") ("(= ~y~0 1)" "[84]" "(= ~y~0 1)") ("(= ~y~0 1)" "[85]" "(= ~y~0 1)") ("(= ~y~0 1)" "[86]" "(= ~y~0 1)") ("(= ~y~0 1)" "[88]" "(= ~y~0 1)") ("(= ~y~0 1)" "[89]" "(= ~y~0 1)") ("(= ~y~0 1)" "[90]" "(= ~y~0 1)") ("(= ~y~0 1)" "[91]" "(= ~y~0 1)") ("(= ~y~0 1)" "[92]" "(= ~y~0 1)") ("(= ~y~0 1)" "[93]" "(= ~y~0 1)") ("true" "[1]" "true") ("true" "[3]" "true") ("true" "[4]" "true") ("true" "[5]" "true") ("true" "[6]" "true") ("true" "[7]" "true") ("true" "[8]" "true") ("true" "[9]" "true") ("true" "[10]" "true") ("true" "[11]" "true") ("true" "[12]" "true") ("true" "[13]" "true") ("true" "[14]" "true") ("true" "[15]" "true") ("true" "[16]" "true") ("true" "[17]" "true") ("true" "[18]" "true") ("true" "[19]" "true") ("true" "[20]" "true") ("true" "[21]" "true") ("true" "[22]" "true") ("true" "[24]" "true") ("true" "[25]" "true") ("true" "[26]" "true") ("true" "[27]" "true") ("true" "[28]" "true") ("true" "[29]" "true") ("true" "[30]" "true") ("true" "[31]" "true") ("true" "[32]" "true") ("true" "[34]" "true") ("true" "[35]" "true") ("true" "[36]" "true") ("true" "[37]" "true") ("true" "[38]" "true") ("true" "[39]" "(= ~y~0 1)") ("true" "[40]" "true") ("true" "[41]" "true") ("true" "[42]" "true") ("true" "[43]" "true") ("true" "[44]" "true") ("true" "[45]" "true") ("true" "[46]" "true") ("true" "[47]" "true") ("true" "[48]" "true") ("true" "[49]" "true") ("true" "[50]" "true") ("true" "[51]" "true") ("true" "[52]" "(= ~y~0 1)") ("true" "[53]" "true") ("true" "[54]" "true") ("true" "[55]" "true") ("true" "[56]" "true") ("true" "[57]" "true") ("true" "[58]" "true") ("true" "[59]" "true") ("true" "[60]" "true") ("true" "[61]" "true") ("true" "[62]" "true") ("true" "[63]" "true") ("true" "[64]" "true") ("true" "[65]" "true") ("true" "[66]" "true") ("true" "[67]" "true") ("true" "[68]" "true") ("true" "[69]" "true") ("true" "[70]" "true") ("true" "[71]" "true") ("true" "[72]" "true") ("true" "[73]" "true") ("true" "[74]" "true") ("true" "[75]" "true") ("true" "[76]" "true") ("true" "[77]" "true") ("true" "[78]" "true") ("true" "[79]" "true") ("true" "[80]" "true") ("true" "[81]" "true") ("true" "[82]" "true") ("true" "[83]" "true") ("true" "[84]" "true") ("true" "[85]" "true") ("true" "[86]" "true") ("true" "[88]" "true") ("true" "[89]" "true") ("true" "[90]" "true") ("true" "[91]" "true") ("true" "[92]" "true") ("true" "[93]" "true") } ); FiniteAutomaton proof5 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"false" "true" "(= ~x~0 1)" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("false" "[1]" "false") ("false" "[3]" "false") ("false" "[4]" 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("true" "[52]" "true") ("true" "[53]" "true") ("true" "[54]" "true") ("true" "[55]" "true") ("true" "[56]" "true") ("true" "[57]" "true") ("true" "[58]" "true") ("true" "[59]" "true") ("true" "[60]" "true") ("true" "[61]" "true") ("true" "[62]" "true") ("true" "[63]" "true") ("true" "[64]" "true") ("true" "[65]" "true") ("true" "[66]" "true") ("true" "[67]" "true") ("true" "[68]" "true") ("true" "[69]" "true") ("true" "[70]" "true") ("true" "[71]" "true") ("true" "[72]" "true") ("true" "[73]" "true") ("true" "[74]" "true") ("true" "[75]" "true") ("true" "[76]" "true") ("true" "[77]" "true") ("true" "[78]" "true") ("true" "[79]" "true") ("true" "[80]" "true") ("true" "[81]" "true") ("true" "[82]" "true") ("true" "[83]" "true") ("true" "[84]" "true") ("true" "[85]" "true") ("true" "[86]" "true") ("true" "[88]" "true") ("true" "[89]" "true") ("true" "[90]" "true") ("true" "[91]" "true") ("true" "[92]" "true") ("true" "[93]" "true") ("(= ~x~0 1)" "[1]" "(= ~x~0 1)") ("(= ~x~0 1)" "[3]" "(= ~x~0 1)") ("(= ~x~0 1)" "[4]" "(= ~x~0 1)") ("(= ~x~0 1)" "[5]" "(= ~x~0 1)") ("(= ~x~0 1)" "[6]" "(= ~x~0 1)") ("(= ~x~0 1)" "[7]" "(= ~x~0 1)") ("(= ~x~0 1)" "[8]" "(= ~x~0 1)") ("(= ~x~0 1)" "[9]" "(= ~x~0 1)") ("(= ~x~0 1)" "[10]" "(= ~x~0 1)") ("(= ~x~0 1)" "[11]" "(= ~x~0 1)") ("(= ~x~0 1)" "[12]" "(= ~x~0 1)") ("(= ~x~0 1)" "[13]" "false") ("(= ~x~0 1)" "[14]" "(= ~x~0 1)") ("(= ~x~0 1)" "[15]" "(= ~x~0 1)") ("(= ~x~0 1)" "[16]" "(= ~x~0 1)") ("(= ~x~0 1)" "[17]" "(= ~x~0 1)") ("(= ~x~0 1)" "[18]" "(= ~x~0 1)") ("(= ~x~0 1)" "[19]" "(= ~x~0 1)") ("(= ~x~0 1)" "[20]" "(= ~x~0 1)") ("(= ~x~0 1)" "[21]" "(= ~x~0 1)") ("(= ~x~0 1)" "[22]" "(= ~x~0 1)") ("(= ~x~0 1)" "[24]" "(= ~x~0 1)") ("(= ~x~0 1)" "[25]" "(= ~x~0 1)") ("(= ~x~0 1)" "[26]" "(= ~x~0 1)") ("(= ~x~0 1)" "[27]" "(= ~x~0 1)") ("(= ~x~0 1)" "[28]" "(= ~x~0 1)") ("(= ~x~0 1)" "[29]" "(= ~x~0 1)") ("(= ~x~0 1)" "[30]" "(= ~x~0 1)") ("(= ~x~0 1)" "[31]" "(= ~x~0 1)") ("(= ~x~0 1)" "[32]" "(= ~x~0 1)") ("(= ~x~0 1)" "[34]" "(= ~x~0 1)") ("(= ~x~0 1)" "[35]" "(= ~x~0 1)") ("(= ~x~0 1)" "[36]" "(= ~x~0 1)") ("(= ~x~0 1)" "[37]" "(= ~x~0 1)") ("(= ~x~0 1)" "[38]" "(= ~x~0 1)") ("(= ~x~0 1)" "[39]" "(= ~x~0 1)") ("(= ~x~0 1)" "[40]" "(= ~x~0 1)") ("(= ~x~0 1)" "[41]" "(= ~x~0 1)") ("(= ~x~0 1)" "[42]" "(= ~x~0 1)") ("(= ~x~0 1)" "[43]" "(= ~x~0 1)") ("(= ~x~0 1)" "[44]" "false") ("(= ~x~0 1)" "[45]" "(= ~x~0 1)") ("(= ~x~0 1)" "[46]" "(= ~x~0 1)") ("(= ~x~0 1)" "[47]" "(= ~x~0 1)") ("(= ~x~0 1)" "[48]" "(= ~x~0 1)") ("(= ~x~0 1)" "[49]" "(= ~x~0 1)") ("(= ~x~0 1)" "[50]" "(= ~x~0 1)") ("(= ~x~0 1)" "[51]" "(= ~x~0 1)") ("(= ~x~0 1)" "[52]" "(= ~x~0 1)") ("(= ~x~0 1)" "[53]" "(= ~x~0 1)") ("(= ~x~0 1)" "[54]" "(= ~x~0 1)") ("(= ~x~0 1)" "[55]" "(= ~x~0 1)") ("(= ~x~0 1)" "[56]" "(= ~x~0 1)") ("(= ~x~0 1)" "[57]" "(= ~x~0 1)") ("(= ~x~0 1)" "[59]" "(= ~x~0 1)") ("(= ~x~0 1)" "[60]" "(= ~x~0 1)") ("(= ~x~0 1)" "[61]" "(= ~x~0 1)") ("(= ~x~0 1)" "[62]" "(= ~x~0 1)") ("(= ~x~0 1)" "[63]" "(= ~x~0 1)") ("(= ~x~0 1)" "[64]" "(= ~x~0 1)") ("(= ~x~0 1)" "[65]" "(= ~x~0 1)") ("(= ~x~0 1)" "[66]" "(= ~x~0 1)") ("(= ~x~0 1)" "[67]" "(= ~x~0 1)") ("(= ~x~0 1)" "[68]" "(= ~x~0 1)") ("(= ~x~0 1)" "[69]" "(= ~x~0 1)") ("(= ~x~0 1)" "[70]" "(= ~x~0 1)") ("(= ~x~0 1)" "[72]" "(= ~x~0 1)") ("(= ~x~0 1)" "[73]" "(= ~x~0 1)") ("(= ~x~0 1)" "[74]" "(= ~x~0 1)") ("(= ~x~0 1)" "[75]" "(= ~x~0 1)") ("(= ~x~0 1)" "[76]" "(= ~x~0 1)") ("(= ~x~0 1)" "[77]" "(= ~x~0 1)") ("(= ~x~0 1)" "[78]" "(= ~x~0 1)") ("(= ~x~0 1)" "[79]" "(= ~x~0 1)") ("(= ~x~0 1)" "[80]" "(= ~x~0 1)") ("(= ~x~0 1)" "[81]" "(= ~x~0 1)") ("(= ~x~0 1)" "[82]" "(= ~x~0 1)") ("(= ~x~0 1)" "[83]" "(= ~x~0 1)") ("(= ~x~0 1)" "[84]" "(= ~x~0 1)") ("(= ~x~0 1)" "[85]" "(= ~x~0 1)") ("(= ~x~0 1)" "[86]" "(= ~x~0 1)") ("(= ~x~0 1)" "[88]" "(= ~x~0 1)") ("(= ~x~0 1)" "[89]" "(= ~x~0 1)") ("(= ~x~0 1)" "[90]" "(= ~x~0 1)") ("(= ~x~0 1)" "[91]" "(= ~x~0 1)") ("(= ~x~0 1)" "[92]" "(= ~x~0 1)") ("(= ~x~0 1)" "[93]" "true") } ); FiniteAutomaton proof6 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"true" "false" "(= 2 ~x~0)" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("true" "[1]" "true") ("true" "[3]" "true") ("true" "[4]" "true") ("true" "[5]" "true") ("true" "[6]" "true") ("true" "[7]" "true") ("true" "[8]" "true") ("true" "[9]" "true") ("true" "[10]" "true") ("true" "[11]" "true") ("true" "[12]" "true") ("true" "[14]" "true") ("true" "[15]" "true") ("true" "[16]" "true") ("true" "[17]" "true") ("true" "[18]" "true") ("true" "[19]" "true") ("true" "[20]" "true") ("true" "[21]" "true") ("true" "[22]" "true") ("true" "[24]" "true") ("true" "[25]" "true") ("true" "[26]" "true") ("true" "[27]" "true") ("true" "[28]" "true") ("true" "[29]" "true") ("true" "[30]" "true") ("true" "[31]" "true") ("true" "[32]" "true") ("true" "[34]" "true") ("true" "[35]" "true") ("true" "[36]" "true") ("true" "[37]" "true") ("true" "[38]" "true") ("true" "[39]" "true") ("true" "[40]" "true") ("true" "[41]" "true") ("true" "[42]" "true") ("true" "[43]" "true") ("true" "[45]" "true") ("true" "[46]" "true") ("true" "[47]" "true") ("true" "[48]" "true") ("true" "[49]" "true") ("true" "[50]" "true") ("true" "[51]" "true") ("true" "[52]" "true") ("true" "[53]" "true") ("true" "[54]" "true") ("true" "[55]" "true") ("true" "[56]" "true") ("true" "[57]" "true") ("true" "[58]" "true") ("true" "[59]" "true") ("true" "[60]" "true") ("true" "[61]" "true") ("true" "[62]" "true") ("true" "[63]" "true") ("true" "[64]" "true") ("true" "[65]" "true") ("true" "[66]" "true") ("true" "[67]" "true") ("true" "[68]" "true") ("true" "[69]" "true") ("true" "[70]" "true") ("true" "[71]" "true") ("true" "[72]" "true") ("true" "[73]" "true") ("true" "[74]" "true") ("true" "[75]" "true") ("true" "[76]" "true") ("true" "[77]" "true") ("true" "[78]" "true") ("true" "[79]" "true") ("true" "[80]" "true") ("true" "[81]" "true") ("true" "[82]" "true") ("true" "[83]" "true") ("true" "[84]" "true") ("true" "[85]" "true") ("true" "[86]" "true") ("true" "[88]" "true") ("true" "[89]" "true") ("true" "[90]" "true") ("true" "[91]" "true") ("true" "[92]" "true") ("true" "[93]" "(= 2 ~x~0)") ("false" "[1]" "false") ("false" "[3]" "false") ("false" "[4]" "false") ("false" "[5]" "false") ("false" "[6]" "false") ("false" "[7]" "false") ("false" "[8]" "false") ("false" "[9]" "false") ("false" "[10]" "false") ("false" "[11]" "false") ("false" "[14]" "false") ("false" "[15]" "false") ("false" "[16]" "false") ("false" "[17]" "false") ("false" "[18]" "false") ("false" "[19]" "false") ("false" "[20]" "false") ("false" "[21]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[25]" "false") ("false" "[26]" "false") ("false" "[27]" "false") ("false" "[28]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[34]" "false") ("false" "[35]" "false") ("false" "[36]" "false") ("false" "[37]" "false") ("false" "[38]" "false") ("false" "[39]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[42]" "false") ("false" "[43]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[48]" "false") ("false" "[49]" "false") ("false" "[50]" "false") ("false" "[51]" "false") ("false" "[52]" "false") ("false" "[53]" "false") ("false" "[54]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[62]" "false") ("false" "[63]" "false") ("false" "[64]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" "false") ("false" "[76]" "false") ("false" "[77]" "false") ("false" "[78]" "false") ("false" "[79]" "false") ("false" "[80]" "false") ("false" "[81]" "false") ("false" "[82]" "false") ("false" "[83]" "false") ("false" "[84]" "false") ("false" "[85]" "false") ("false" "[86]" "false") ("false" "[88]" "false") ("false" "[89]" "false") ("false" "[90]" "false") ("false" "[91]" "false") ("false" "[92]" "false") ("(= 2 ~x~0)" "[1]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[3]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[4]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[5]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[6]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[7]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[8]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[9]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[10]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[11]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[12]" "false") ("(= 2 ~x~0)" "[13]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[14]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[15]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[16]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[17]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[18]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[19]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[20]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[21]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[22]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[24]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[25]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[26]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[27]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[28]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[29]" "true") ("(= 2 ~x~0)" "[30]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[31]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[32]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[34]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[35]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[36]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[37]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[38]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[39]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[40]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[41]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[42]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[43]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[44]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[45]" "false") ("(= 2 ~x~0)" "[46]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[47]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[48]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[49]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[50]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[51]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[52]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[53]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[54]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[55]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[57]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[59]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[60]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[61]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[62]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[63]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[64]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[65]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[66]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[67]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[68]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[69]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[70]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[72]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[73]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[74]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[75]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[76]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[77]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[78]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[79]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[80]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[81]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[82]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[83]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[84]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[85]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[86]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[88]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[89]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[90]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[91]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[92]" "(= 2 ~x~0)") ("(= 2 ~x~0)" "[93]" "(= 2 ~x~0)") } ); FiniteAutomaton proof7 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"(= 2 ~y~0)" "true" "false" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("(= 2 ~y~0)" "[1]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[3]" "true") ("(= 2 ~y~0)" "[6]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[7]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[9]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[12]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[13]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[14]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[15]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[16]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[17]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[18]" "false") ("(= 2 ~y~0)" "[19]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[22]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[24]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[25]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[26]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[27]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[28]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[29]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[30]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[31]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[32]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[34]" "true") ("(= 2 ~y~0)" "[35]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[36]" "false") ("(= 2 ~y~0)" "[37]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[38]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[39]" "true") ("(= 2 ~y~0)" "[40]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[41]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[42]" "false") ("(= 2 ~y~0)" "[43]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[44]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[45]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[46]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[47]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[48]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[49]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[50]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[51]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[52]" "false") ("(= 2 ~y~0)" "[53]" "false") ("(= 2 ~y~0)" "[54]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[55]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[57]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[59]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[60]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[62]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[63]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[65]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[66]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[67]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[68]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[69]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[70]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[71]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[72]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[73]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[74]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[75]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[76]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[77]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[78]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[79]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[80]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[81]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[82]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[83]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[84]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[85]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[86]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[88]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[89]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[90]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[91]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[92]" "(= 2 ~y~0)") ("(= 2 ~y~0)" "[93]" "(= 2 ~y~0)") ("true" "[1]" "true") ("true" "[3]" "true") ("true" "[4]" "true") ("true" "[5]" "true") ("true" "[6]" "true") ("true" "[7]" "true") ("true" "[8]" "(= 2 ~y~0)") ("true" "[9]" "true") ("true" "[10]" "true") ("true" "[11]" "true") ("true" "[12]" "true") ("true" "[13]" "true") ("true" "[14]" "true") ("true" "[15]" "true") ("true" "[16]" "true") ("true" "[17]" "true") ("true" "[18]" "true") ("true" "[19]" "(= 2 ~y~0)") ("true" "[20]" "true") ("true" "[21]" "true") ("true" "[22]" "true") ("true" "[24]" "true") ("true" "[25]" "true") ("true" "[26]" "true") ("true" "[27]" "true") ("true" "[28]" "true") ("true" "[29]" "true") ("true" "[30]" "true") ("true" "[31]" "true") ("true" "[32]" "true") ("true" "[34]" "true") ("true" "[35]" "true") ("true" "[36]" "true") ("true" "[37]" "true") ("true" "[38]" "true") ("true" "[39]" "true") ("true" "[40]" "true") ("true" "[41]" "true") ("true" "[42]" "true") ("true" "[43]" "true") ("true" "[44]" "true") ("true" "[45]" "true") ("true" "[46]" "true") ("true" "[47]" "true") ("true" "[48]" "true") ("true" "[49]" "true") ("true" "[50]" "true") ("true" "[51]" "true") ("true" "[52]" "true") ("true" "[53]" "true") ("true" "[54]" "true") ("true" "[55]" "true") ("true" "[56]" "true") ("true" "[57]" "true") ("true" "[58]" "true") ("true" "[59]" "true") ("true" "[60]" "true") ("true" "[61]" "true") ("true" "[62]" "true") ("true" "[63]" "true") ("true" "[64]" "true") ("true" "[65]" "true") ("true" "[66]" "true") ("true" "[67]" "true") ("true" "[68]" "true") ("true" "[69]" "true") ("true" "[70]" "true") ("true" "[71]" "true") ("true" "[72]" "true") ("true" "[73]" "true") ("true" "[74]" "true") ("true" "[75]" "true") ("true" "[76]" "true") ("true" "[77]" "true") ("true" "[78]" "true") ("true" "[79]" "true") ("true" "[80]" "true") ("true" "[81]" "true") ("true" "[82]" "true") ("true" "[83]" "true") ("true" "[84]" "true") ("true" "[85]" "true") ("true" "[86]" "true") ("true" "[88]" "true") ("true" "[89]" "true") ("true" "[90]" "true") ("true" "[91]" "true") ("true" "[92]" "true") ("true" "[93]" "true") ("false" "[1]" "false") ("false" "[6]" "false") ("false" "[7]" "false") ("false" "[9]" "false") ("false" "[12]" "false") ("false" "[13]" "false") ("false" "[14]" "false") ("false" "[15]" "false") ("false" "[16]" "false") ("false" "[17]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[25]" "false") ("false" "[26]" "false") ("false" "[27]" "false") ("false" "[28]" "false") ("false" "[29]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[37]" "false") ("false" "[38]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[44]" "false") ("false" "[45]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[48]" "false") ("false" "[49]" "false") ("false" "[50]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[62]" "false") ("false" "[63]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[71]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" "false") ("false" "[76]" "false") ("false" "[77]" "false") ("false" "[78]" "false") ("false" "[79]" "false") ("false" "[80]" "false") ("false" "[81]" "false") ("false" "[82]" "false") ("false" "[83]" "false") ("false" "[84]" "false") ("false" "[85]" "false") ("false" "[86]" "false") ("false" "[88]" "false") ("false" "[89]" "false") ("false" "[90]" "false") ("false" "[91]" "false") ("false" "[92]" "false") ("false" "[93]" "false") } ); FiniteAutomaton proof8 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"true" "(= ~b2~0 1)" "false" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("true" "[1]" "true") ("true" "[3]" "true") ("true" "[4]" "true") ("true" "[5]" "true") ("true" "[6]" "true") ("true" "[8]" "true") ("true" "[9]" "true") ("true" "[10]" "true") ("true" "[11]" "true") ("true" "[12]" "true") ("true" "[13]" "true") ("true" "[14]" "true") ("true" "[16]" "true") ("true" "[17]" "true") ("true" "[18]" "true") ("true" "[19]" "true") ("true" "[20]" "true") ("true" "[21]" "true") ("true" "[22]" "true") ("true" "[24]" "true") ("true" "[25]" "true") ("true" "[26]" "true") ("true" "[27]" "true") ("true" "[28]" "true") ("true" "[29]" "true") ("true" "[30]" "true") ("true" "[31]" "true") ("true" "[32]" "true") ("true" "[34]" "true") ("true" "[35]" "true") ("true" "[36]" "true") ("true" "[37]" "true") ("true" "[38]" "true") ("true" "[39]" "true") ("true" "[40]" "true") ("true" "[41]" "true") ("true" "[42]" "true") ("true" "[43]" "true") ("true" "[44]" "true") ("true" "[45]" "true") ("true" "[46]" "true") ("true" "[47]" "true") ("true" "[48]" "true") ("true" "[49]" "true") ("true" "[50]" "true") ("true" "[51]" "true") ("true" "[52]" "true") ("true" "[53]" "true") ("true" "[54]" "true") ("true" "[55]" "true") ("true" "[56]" "true") ("true" "[57]" "true") ("true" "[58]" "true") ("true" "[59]" "true") ("true" "[60]" "true") ("true" "[61]" "true") ("true" "[62]" "true") ("true" "[63]" "true") ("true" "[64]" "true") ("true" "[65]" "true") ("true" "[66]" "true") ("true" "[67]" "true") ("true" "[68]" "true") ("true" "[69]" "true") ("true" "[70]" "true") ("true" "[71]" "true") ("true" "[72]" "true") ("true" "[73]" "true") ("true" "[74]" "true") ("true" "[75]" "true") ("true" "[76]" "true") ("true" "[77]" "true") ("true" "[78]" "true") ("true" "[79]" "true") ("true" "[80]" "true") ("true" "[81]" "true") ("true" "[82]" "true") ("true" "[83]" "true") ("true" "[84]" "true") ("true" "[85]" "true") ("true" "[86]" "true") ("true" "[88]" "true") ("true" "[89]" "true") ("true" "[90]" "(= ~b2~0 1)") ("true" "[91]" "true") ("true" "[92]" "true") ("true" "[93]" "true") ("(= ~b2~0 1)" "[1]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[3]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[4]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[5]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[6]" "true") ("(= ~b2~0 1)" "[7]" "true") ("(= ~b2~0 1)" "[8]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[9]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[10]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[11]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[12]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[13]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[14]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[15]" "true") ("(= ~b2~0 1)" "[16]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[17]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[18]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[19]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[20]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[21]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[22]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[24]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[25]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[26]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[27]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[28]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[29]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[30]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[31]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[32]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[34]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[35]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[36]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[37]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[38]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[39]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[40]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[41]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[42]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[43]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[44]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[45]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[46]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[47]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[48]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[49]" "false") ("(= ~b2~0 1)" "[50]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[51]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[52]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[53]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[54]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[55]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[57]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[59]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[60]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[62]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[63]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[64]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[65]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[66]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[67]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[68]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[69]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[70]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[71]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[72]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[73]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[74]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[75]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[76]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[77]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[78]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[80]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[81]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[82]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[83]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[84]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[85]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[86]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[88]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[89]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[91]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[92]" "(= ~b2~0 1)") ("(= ~b2~0 1)" "[93]" "(= ~b2~0 1)") ("false" "[1]" "false") ("false" "[3]" "false") ("false" "[4]" "false") ("false" "[5]" "false") ("false" "[8]" "false") ("false" "[9]" "false") ("false" "[10]" "false") ("false" "[11]" "false") ("false" "[12]" "false") ("false" "[13]" "false") ("false" "[14]" "false") ("false" "[16]" "false") ("false" "[17]" "false") ("false" "[18]" "false") ("false" "[19]" "false") ("false" "[20]" "false") ("false" "[21]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[25]" "false") ("false" "[26]" "false") ("false" "[27]" "false") ("false" "[28]" "false") ("false" "[29]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[34]" "false") ("false" "[35]" "false") ("false" "[36]" "false") ("false" "[37]" "false") ("false" "[38]" "false") ("false" "[39]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[42]" "false") ("false" "[43]" "false") ("false" "[44]" "false") ("false" "[45]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[48]" "false") ("false" "[51]" "false") ("false" "[52]" "false") ("false" "[53]" "false") ("false" "[54]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[62]" "false") ("false" "[63]" "false") ("false" "[64]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[71]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" "false") ("false" "[76]" "false") ("false" "[77]" "false") ("false" "[78]" "false") ("false" "[80]" "false") ("false" "[81]" "false") ("false" "[82]" "false") ("false" "[83]" "false") ("false" "[84]" "false") ("false" "[85]" "false") ("false" "[86]" "false") ("false" "[88]" "false") ("false" "[89]" "false") ("false" "[91]" "false") ("false" "[92]" "false") ("false" "[93]" "false") } ); FiniteAutomaton proof9 = ( alphabet = {"[1]" "[2]" "[3]" "[4]" "[5]" "[6]" "[7]" "[8]" "[9]" "[10]" "[11]" "[12]" "[13]" "[14]" "[15]" "[16]" "[17]" "[18]" "[19]" "[20]" "[21]" "[22]" "[23]" "[24]" "[25]" "[26]" "[27]" "[28]" "[29]" "[30]" "[31]" "[32]" "[33]" "[34]" "[35]" "[36]" "[37]" "[38]" "[39]" "[40]" "[41]" "[42]" "[43]" "[44]" "[45]" "[46]" "[47]" "[48]" "[49]" "[50]" "[51]" "[52]" "[53]" "[54]" "[55]" "[56]" "[57]" "[58]" "[59]" "[60]" "[61]" "[62]" "[63]" "[64]" "[65]" "[66]" "[67]" "[68]" "[69]" "[70]" "[71]" "[72]" "[73]" "[74]" "[75]" "[76]" "[77]" "[78]" "[79]" "[80]" "[81]" "[82]" "[83]" "[84]" "[85]" "[86]" "[87]" "[88]" "[89]" "[90]" "[91]" "[92]" "[93]" }, states = {"false" "(= ~b1~0 1)" "true" }, initialStates = {"true" }, finalStates = {"false" }, transitions = { ("false" "[1]" "false") ("false" "[3]" "false") ("false" "[4]" "false") ("false" "[5]" "false") ("false" "[6]" "false") ("false" "[7]" "false") ("false" "[8]" "false") ("false" "[9]" "false") ("false" "[10]" "false") ("false" "[11]" "false") ("false" "[12]" "false") ("false" "[13]" "false") ("false" "[14]" "false") ("false" "[15]" "false") ("false" "[18]" "false") ("false" "[19]" "false") ("false" "[20]" "false") ("false" "[21]" "false") ("false" "[22]" "false") ("false" "[24]" "false") ("false" "[25]" "false") ("false" "[27]" "false") ("false" "[28]" "false") ("false" "[29]" "false") ("false" "[30]" "false") ("false" "[31]" "false") ("false" "[32]" "false") ("false" "[34]" "false") ("false" "[35]" "false") ("false" "[36]" "false") ("false" "[39]" "false") ("false" "[40]" "false") ("false" "[41]" "false") ("false" "[42]" "false") ("false" "[43]" "false") ("false" "[44]" "false") ("false" "[45]" "false") ("false" "[46]" "false") ("false" "[47]" "false") ("false" "[49]" "false") ("false" "[50]" "false") ("false" "[51]" "false") ("false" "[52]" "false") ("false" "[53]" "false") ("false" "[54]" "false") ("false" "[55]" "false") ("false" "[57]" "false") ("false" "[60]" "false") ("false" "[63]" "false") ("false" "[64]" "false") ("false" "[65]" "false") ("false" "[66]" "false") ("false" "[67]" "false") ("false" "[68]" "false") ("false" "[69]" "false") ("false" "[70]" "false") ("false" "[71]" "false") ("false" "[72]" "false") ("false" "[73]" "false") ("false" "[74]" "false") ("false" "[75]" 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