TSTP Solution File: NUN071+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:46:23 EDT 2023
% Result : Theorem 0.22s 0.62s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.21/0.36 % Computer : n026.cluster.edu
% 0.21/0.36 % Model : x86_64 x86_64
% 0.21/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.36 % Memory : 8042.1875MB
% 0.21/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.36 % CPULimit : 300
% 0.21/0.36 % WCLimit : 300
% 0.21/0.36 % DateTime : Sun Aug 27 09:32:04 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.62 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jFa54cEbHb/cvc5---1.0.5_30355.p...
% 0.22/0.62 ------- get file name : TPTP file name is NUN071+2
% 0.22/0.62 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30355.smt2...
% 0.22/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.62 % SZS status Theorem for NUN071+2
% 0.22/0.62 % SZS output start Proof for NUN071+2
% 0.22/0.62 (
% 0.22/0.62 (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (exists ((Y2 $$unsorted)) (and (tptp.r4 Y2 Y2 Y1) (exists ((Y4 $$unsorted)) (and (tptp.r1 Y4) (tptp.r2 Y4 Y2))))) (exists ((Y3 $$unsorted)) (and (= Y1 Y3) (exists ((Y5 $$unsorted)) (and (tptp.r1 Y5) (tptp.r2 Y5 Y3)))))))))) (let ((_let_2 (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))))) (let ((_let_3 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))))) (let ((_let_4 (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))) (= Y3 Y2))) (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 X2 Y2) (tptp.r4 X2 X9 Y6)))))))) (let ((_let_5 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))) (= Y5 Y4))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_6 (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (= X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_7 (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (= X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_8 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))))) (let ((_let_9 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_12 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_13 (tptp.r4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_16 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_17 (and _let_16 _let_10))) (let ((_let_18 (not _let_16))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_862 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))))) (let ((_let_21 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_20))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_862)))))) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y21)))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (forall ((X11 $$unsorted)) (not (forall ((Y21 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 X11 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= Y21 BOUND_VARIABLE_862)))))) (not (tptp.r2 X11 Y21)))))))) (let ((_let_28 (not _let_25))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_31 (or))) (let ((_let_32 (_let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32) (REWRITE :args ((=> _let_28 (not (or (not (forall ((BOUND_VARIABLE_862 $$unsorted)) (let ((_let_1 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_862)))))) _let_22))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_25))) (REFL :args (_let_26)) :args _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_30) :args (_let_27))) _let_29 :args (_let_28 false _let_27)) :args (_let_26 true _let_25)))) (let ((_let_34 (REFL :args (_let_24)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_20))) :args _let_31)) :args ((or _let_20 _let_24))) _let_33 :args (_let_20 true _let_24)))) (let ((_let_36 (_let_20))) (let ((_let_37 ((not (= (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_862) false))))) (let ((_let_38 (ASSUME :args _let_36))) (let ((_let_39 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_40 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_41 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_42 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (and _let_42 _let_39))) (let ((_let_44 (not _let_42))) (let ((_let_45 (or _let_44 _let_43))) (let ((_let_46 (forall ((BOUND_VARIABLE_910 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_910))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_910 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))))))) (let ((_let_47 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)))) (let ((_let_48 (not _let_46))) (let ((_let_49 (or _let_48 _let_47))) (let ((_let_50 (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_910 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_910))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_910)))))) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y22)))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (forall ((X13 $$unsorted) (X14 $$unsorted)) (not (forall ((Y22 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_910 $$unsorted)) (let ((_let_1 (tptp.r3 X13 X14 BOUND_VARIABLE_910))) (or (not _let_1) (and _let_1 (= Y22 BOUND_VARIABLE_910)))))) (not (tptp.r3 X13 X14 Y22)))))))) (let ((_let_53 (not _let_50))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_52))) (let ((_let_56 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_57 (_let_53))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_46))) :args _let_31)) :args ((or _let_46 _let_49))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_53 (not (or (not (forall ((BOUND_VARIABLE_910 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_910))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 BOUND_VARIABLE_910)))))) _let_47))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_50))) (REFL :args (_let_51)) :args _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_56) :args _let_55)) _let_54 :args (_let_53 false _let_52)) :args (_let_51 true _let_50)) :args (_let_46 true _let_49)))) (let ((_let_59 (_let_46))) (let ((_let_60 ((not (= (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_910) false))))) (let ((_let_61 (ASSUME :args _let_59))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_63 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_65 (and _let_64 _let_62))) (let ((_let_66 (not _let_64))) (let ((_let_67 (or _let_66 _let_65))) (let ((_let_68 (forall ((BOUND_VARIABLE_815 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_815))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_815 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_69 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (not _let_69))) (let ((_let_71 (not _let_68))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (forall ((Y24 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_815 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_815))) (or (not _let_1) (and _let_1 (= Y24 BOUND_VARIABLE_815)))))) (not (tptp.r1 Y24)))))) (let ((_let_74 (not _let_72))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (not _let_73))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_75) :args (_let_76)) (REWRITE :args ((=> _let_76 (not (or (not (forall ((BOUND_VARIABLE_815 $$unsorted)) (let ((_let_1 (tptp.r1 BOUND_VARIABLE_815))) (or (not _let_1) (and _let_1 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_815)))))) _let_70))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_73))) (REFL :args (_let_74)) :args _let_31)) _let_75 :args (_let_74 true _let_73)))) (let ((_let_78 (REFL :args (_let_72)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 0)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_68))) :args _let_31)) :args ((or _let_68 _let_72))) _let_77 :args (_let_68 true _let_72)))) (let ((_let_80 (_let_68))) (let ((_let_81 ((not (= (tptp.r1 BOUND_VARIABLE_815) false))))) (let ((_let_82 (ASSUME :args _let_80))) (let ((_let_83 (not _let_63))) (let ((_let_84 (or _let_66 _let_83))) (let ((_let_85 (forall ((BOUND_VARIABLE_1194 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1194)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1194 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_86 (not _let_84))) (let ((_let_87 (forall ((X4 $$unsorted)) (not (forall ((BOUND_VARIABLE_1194 $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1194)) (not (tptp.r3 X4 BOUND_VARIABLE_1194 X4)))))))) (let ((_let_88 (not _let_85))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_85))) (REFL :args (_let_86)) :args _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_30) :args (_let_87))) _let_89 :args (_let_88 false _let_87)) :args (_let_86 true _let_85)))) (let ((_let_92 (REFL :args (_let_84)))) (let ((_let_93 (and _let_63 _let_62))) (let ((_let_94 (_let_63 _let_62))) (let ((_let_95 (ASSUME :args (_let_63)))) (let ((_let_96 (APPLY_UF tptp.r3))) (let ((_let_97 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_98 (ASSUME :args (_let_62)))) (let ((_let_99 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_100 (and _let_99 _let_40))) (let ((_let_101 (not _let_99))) (let ((_let_102 (or _let_101 _let_100))) (let ((_let_103 (not _let_41))) (let ((_let_104 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105 _let_103 _let_101))) (let ((_let_109 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1058 $$unsorted) (BOUND_VARIABLE_1051 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1051)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1051 Y4)) (not (tptp.r2 BOUND_VARIABLE_1058 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1058)))))) (let ((_let_110 (not _let_108))) (let ((_let_111 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1058 $$unsorted) (BOUND_VARIABLE_1051 $$unsorted)) (or (not (tptp.r2 X8 BOUND_VARIABLE_1051)) (not (tptp.r3 X1 BOUND_VARIABLE_1051 Y4)) (not (tptp.r2 BOUND_VARIABLE_1058 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_1058)))))))) (let ((_let_112 (not _let_109))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_109))) (REFL :args (_let_110)) :args _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_56) :args (_let_111))) _let_113 :args (_let_112 false _let_111)) :args (_let_110 true _let_109)))) (let ((_let_116 (REFL :args (_let_108)))) (let ((_let_117 (and _let_41 _let_40 _let_39))) (let ((_let_118 (_let_41 _let_40 _let_39))) (let ((_let_119 (ASSUME :args (_let_41)))) (let ((_let_120 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (let ((_let_121 (ASSUME :args (_let_40)))) (let ((_let_122 (ASSUME :args (_let_39)))) (let ((_let_123 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_124 (and _let_123 _let_11))) (let ((_let_125 (not _let_123))) (let ((_let_126 (or _let_125 _let_124))) (let ((_let_127 (forall ((BOUND_VARIABLE_910 $$unsorted)) (let ((_let_1 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 BOUND_VARIABLE_910))) (or (not _let_1) (and _let_1 (= BOUND_VARIABLE_910 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))))))) (let ((_let_128 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 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(MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_191 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_189))) _let_188 :args (_let_177 false _let_178)) :args (_let_176 false _let_150 false _let_177)) :args (_let_173 false _let_176)) :args (_let_169 false _let_175 false _let_152 false _let_174 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136))) _let_135 :args (_let_172 false _let_127)) :args (_let_170 false _let_169 false _let_172)) :args (_let_15 false _let_170)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_167 1)) :args ((or _let_14 (not _let_167)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_156 _let_167 (not _let_168)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_157 0)) (CONG _let_166 (MACRO_SR_PRED_INTRO :args ((= (not _let_156) _let_155))) :args _let_31)) :args ((or _let_155 _let_157))) _let_165 :args (_let_155 true _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36))) _let_35 :args (_let_168 false _let_20)) :args (_let_167 false _let_155 false _let_168)) :args (_let_14 false _let_167)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_157 1)) (CONG _let_166 (MACRO_SR_PRED_INTRO :args ((= (not _let_154) _let_13))) :args _let_31)) :args ((or _let_13 _let_157))) _let_165 :args (_let_13 true _let_157)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_147))) :args ((or _let_70 _let_22 _let_146 (not _let_147)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 1)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_31)) :args ((or _let_69 _let_72))) _let_77 :args (_let_69 true _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_31)) :args ((or _let_21 _let_24))) _let_33 :args (_let_21 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2 BOUND_VARIABLE_1394 Y1) false)) (not (= (tptp.r2 BOUND_VARIABLE_1385 BOUND_VARIABLE_1383) false))))) :args (_let_148))) _let_149 :args (_let_147 false _let_148)) :args (_let_146 false _let_69 false _let_21 false _let_147)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_124 1)) :args ((or _let_11 (not _let_124)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_124 (not _let_126)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_142)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_145) (SCOPE (TRUE_ELIM (TRANS (CONG _let_97 (SYMM (SYMM _let_145)) _let_120 :args _let_96) (TRUE_INTRO _let_144))) :args _let_143)) :args _let_143)) :args (true _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 1)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_104))) :args _let_31)) :args ((or _let_104 _let_108))) _let_115 :args (_let_104 true _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_140 1)) :args ((or _let_139 (not _let_140)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_107 _let_140 (not _let_141)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 0)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_106))) :args _let_31)) :args ((or _let_106 _let_108))) _let_115 :args (_let_106 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36))) _let_35 :args (_let_141 false _let_20)) :args (_let_140 false _let_106 false _let_141)) :args (_let_139 false _let_140)) :args (_let_123 false _let_104 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136)) _let_135 :args (_let_126 false _let_127)) :args (_let_124 false _let_123 false _let_126)) :args (_let_11 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_10 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_119 _let_121 _let_122) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_122)) (SYMM (SYMM _let_121))) _let_120 :args (APPLY_UF tptp.r2)) (TRUE_INTRO _let_119))) :args _let_118)) :args _let_118)) :args (true _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 2)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_41))) :args _let_31)) :args ((or _let_41 _let_108))) _let_115 :args (_let_41 true _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_100 1)) :args ((or _let_40 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_101 _let_100 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 3)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_99))) :args _let_31)) :args ((or _let_99 _let_108))) _let_115 :args (_let_99 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59))) _let_58 :args (_let_102 false _let_46)) :args (_let_100 false _let_99 false _let_102)) :args (_let_40 false _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_39 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_98) (SCOPE (TRUE_ELIM (TRANS (CONG _let_97 (SYMM (SYMM _let_98)) _let_97 :args _let_96) (TRUE_INTRO _let_95))) :args _let_94)) :args _let_94)) :args (true _let_93)) :args ((or _let_42 _let_83 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 1)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_63))) :args _let_31)) :args ((or _let_63 _let_84))) _let_91 :args (_let_63 true _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_62 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_65 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 0)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_64))) :args _let_31)) :args ((or _let_64 _let_84))) _let_91 :args (_let_64 true _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80))) _let_79 :args (_let_67 false _let_68)) :args (_let_65 false _let_64 false _let_67)) :args (_let_62 false _let_65)) :args (_let_42 false _let_63 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) _let_58 :args (_let_45 false _let_46)) :args (_let_43 false _let_42 false _let_45)) :args (_let_39 false _let_43)) :args (_let_16 false _let_41 false _let_40 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36))) _let_35 :args (_let_19 false _let_20)) :args (_let_17 false _let_16 false _let_19)) :args (_let_10 false _let_17)) :args (false false _let_15 false _let_14 false _let_13 true _let_12 false _let_11 false _let_10)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((X3 $$unsorted) (X10 $$unsorted)) (or (forall ((Y12 $$unsorted)) (or (forall ((Y13 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))) _let_3 _let_2 (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.r1 Y19) (= X6 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.r2 Y1 Y11) (= X6 Y11))))) (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.r1 Y20)) (not (= Y20 Y10)))) (not (tptp.r2 X7 Y10)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.62 )
% 0.22/0.62 % SZS output end Proof for NUN071+2
% 0.22/0.62 % cvc5---1.0.5 exiting
% 0.22/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------