TSTP Solution File: SYO607+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 : Fri Sep 1 04:16:42 EDT 2023
% Result : Theorem 0.75s 0.95s
% Output : Proof 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 01:44:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.75/0.95 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xUa6yKueQG/cvc5---1.0.5_10206.p...
% 0.75/0.95 ------- get file name : TPTP file name is SYO607+1
% 0.75/0.95 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10206.smt2...
% 0.75/0.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.75/0.95 % SZS status Theorem for SYO607+1
% 0.75/0.95 % SZS output start Proof for SYO607+1
% 0.75/0.95 (
% 0.75/0.95 (let ((_let_1 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (or (tptp.g_true_only X_2 X_1) (tptp.g_both X_2 X_1) (tptp.g_false_only X_2 X_1))))) (let ((_let_2 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_false_only X_2 X_1) (and (tptp.g_false X_2 X_1) (not (tptp.g_true X_2 X_1))))))) (let ((_let_3 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_true_only X_2 X_1) (and (tptp.g_true X_2 X_1) (not (tptp.g_false X_2 X_1))))))) (let ((_let_4 (not (or (exists ((A $$unsorted)) (and (tptp.g_false_only tptp.a A) (exists ((B $$unsorted)) (tptp.g_false_only A B)))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (tptp.g_true_only A B))) (and (exists ((A $$unsorted)) (and (or (tptp.g_both tptp.a A) (and (exists ((B $$unsorted)) (tptp.g_both A B)) (not (exists ((B $$unsorted)) (tptp.g_false_only A B))))) (not (tptp.g_true_only tptp.a A)) (not (forall ((B $$unsorted)) (tptp.g_true_only A B))))) (not (exists ((A $$unsorted)) (and (tptp.g_false_only tptp.a A) (exists ((B $$unsorted)) (tptp.g_false_only A B))))) (exists ((A $$unsorted)) (and (exists ((B $$unsorted)) (tptp.g_both A B)) (not (exists ((B $$unsorted)) (tptp.g_false_only A B))))) (not (exists ((A $$unsorted)) (forall ((B $$unsorted)) (tptp.g_true_only A B))))))))) (let ((_let_5 (forall ((B $$unsorted)) (not (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or _let_8 _let_6))) (let ((_let_10 (tptp.g_both tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (and _let_11 _let_9))) (let ((_let_13 (forall ((B $$unsorted)) (not (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 B))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_8 _let_14))) (let ((_let_16 (forall ((A $$unsorted) (BOUND_VARIABLE_780 $$unsorted)) (or (not (tptp.g_both A BOUND_VARIABLE_780)) (not (forall ((B $$unsorted)) (not (tptp.g_false_only A B)))))))) (let ((_let_17 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (tptp.g_true_only A B)))))) (let ((_let_18 (forall ((A $$unsorted) (BOUND_VARIABLE_757 $$unsorted)) (or (not (tptp.g_false_only tptp.a A)) (not (tptp.g_false_only A BOUND_VARIABLE_757)))))) (let ((_let_19 (forall ((A $$unsorted) (BOUND_VARIABLE_739 $$unsorted) (BOUND_VARIABLE_733 $$unsorted)) (or (and (not (tptp.g_both tptp.a A)) (or (not (tptp.g_both A BOUND_VARIABLE_733)) (not (forall ((B $$unsorted)) (not (tptp.g_false_only A B)))))) (tptp.g_true_only tptp.a A) (tptp.g_true_only A BOUND_VARIABLE_739))))) (let ((_let_20 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (tptp.g_true_only A B)))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (NOT_NOT_ELIM (NOT_OR_ELIM _let_21 :args (1))))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_20 (= B B) (= A A)))) _let_22 :args (_let_17 false _let_20)))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_701 $$unsorted)) (or (not (tptp.g_false_only tptp.a A)) (not (tptp.g_false_only A BOUND_VARIABLE_701)))))) (let ((_let_25 (NOT_NOT_ELIM (NOT_OR_ELIM _let_21 :args (0))))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_24 (= A A) (= BOUND_VARIABLE_701 BOUND_VARIABLE_757)))) _let_25 :args (_let_18 false _let_24)))) (let ((_let_27 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_28 (tptp.g_true_only tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_29 (tptp.g_both tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_30 (not _let_29))) (let ((_let_31 (and _let_30 (or (not (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (forall ((B $$unsorted)) (not (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 B)))))))) (let ((_let_32 (or _let_31 _let_28 _let_27))) (let ((_let_33 (not _let_19))) (let ((_let_34 (not _let_32))) (let ((_let_35 (not _let_31))) (let ((_let_36 (tptp.g_false_only tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_37 (or _let_28 _let_29 _let_36))) (let ((_let_38 (_let_1))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((not (= (tptp.g_true_only X_2 X_1) true))))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_1)))) (let ((_let_42 (forall ((B $$unsorted)) (not (tptp.g_false_only tptp.a B))))) (let ((_let_43 (tptp.g_false_only tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (forall ((B $$unsorted)) (not (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B))))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (not _let_43))) (let ((_let_50 (forall ((B $$unsorted)) (not (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B))))) (let ((_let_51 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_52 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_53 (or _let_52 _let_46 _let_51))) (let ((_let_54 (not _let_50))) (let ((_let_55 (or _let_47 _let_54))) (let ((_let_56 (and (not (tptp.g_both tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) _let_55))) (let ((_let_57 (tptp.g_true_only tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_58 (or _let_56 _let_57 _let_52))) (let ((_let_59 (tptp.g_false tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_60 (tptp.g_true tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_61 (and _let_60 (not _let_59)))) (let ((_let_62 (= _let_57 _let_61))) (let ((_let_63 (not _let_60))) (let ((_let_64 (and _let_59 _let_63))) (let ((_let_65 (= _let_43 _let_64))) (let ((_let_66 (not _let_51))) (let ((_let_67 (_let_44))) (let ((_let_68 (forall ((B $$unsorted)) (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B)))) (let ((_let_69 (not _let_52))) (let ((_let_70 (not _let_68))) (let ((_let_71 (_let_20))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (or))) (let ((_let_74 (_let_70))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_68))) (REFL :args (_let_69)) :args _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_22 :args (_let_70 false _let_20)) :args (_let_69 true _let_68)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_53 false _let_1)))) (let ((_let_77 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_46 _let_51 (not _let_53)))))) (let ((_let_78 (not _let_48))) (let ((_let_79 (_let_48))) (let ((_let_80 (REORDERING (CNF_OR_POS :args _let_79) :args ((or _let_47 _let_45 _let_78))))) (let ((_let_81 (_let_16))) (let ((_let_82 ((not (= (tptp.g_both A BOUND_VARIABLE_780) false))))) (let ((_let_83 (ASSUME :args _let_81))) (let ((_let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_19))))) (let ((_let_85 (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_21 :args (2))) (CONG _let_84 (REFL :args ((not _let_18))) (MACRO_SR_PRED_INTRO :args ((= (not (not _let_16)) _let_16))) (REFL :args ((not _let_17))) :args _let_73)))) (let ((_let_86 (_let_19))) (let ((_let_87 ((tptp.g_both A BOUND_VARIABLE_733) (not (= (tptp.g_true_only A BOUND_VARIABLE_739) true))))) (let ((_let_88 (ASSUME :args _let_86))) (let ((_let_89 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_86)))) (let ((_let_90 (forall ((B $$unsorted)) (tptp.g_true_only tptp.a B)))) (let ((_let_91 (not _let_28))) (let ((_let_92 (not _let_90))) (let ((_let_93 (_let_92))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_90))) (REFL :args (_let_91)) :args _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_22 :args (_let_92 false _let_20)) :args (_let_91 true _let_90)))) (let ((_let_95 (forall ((B $$unsorted)) (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 B)))) (let ((_let_96 (not _let_27))) (let ((_let_97 (not _let_95))) (let ((_let_98 (_let_97))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_95))) (REFL :args (_let_96)) :args _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_22 :args (_let_97 false _let_20)) :args (_let_96 true _let_95)))) (let ((_let_100 (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_28 _let_27 _let_31 _let_34))))) (let ((_let_101 (_let_3))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or _let_30 _let_35))))) (let ((_let_104 (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_28 _let_29 _let_36 (not _let_37)))))) (let ((_let_105 (_let_42))) (let ((_let_106 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_105) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.g_false_only tptp.a B) false))))) :args _let_105)))) (let ((_let_107 (_let_2))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (not _let_42))) (let ((_let_110 (_let_109))) (let ((_let_111 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110) (REWRITE :args ((=> _let_109 (not _let_49)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_42))) (REFL :args (_let_43)) :args _let_73)))) (let ((_let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))))) (let ((_let_113 (or _let_49 _let_66))) (let ((_let_114 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_49 _let_115))) (let ((_let_117 (_let_24))) (let ((_let_118 ((not (= (tptp.g_false_only A BOUND_VARIABLE_701) false))))) (let ((_let_119 (ASSUME :args _let_117))) (let ((_let_120 (_let_45))) (let ((_let_121 (MACRO_RESOLUTION_TRUST _let_111 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_80 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_120)) :args _let_120) (REWRITE :args ((=> _let_45 (not _let_115)))))) (CONG _let_112 (REFL :args (_let_114)) :args _let_73)) _let_77 _let_76 _let_75 (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_49 _let_115 (not _let_116)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_117)) _let_25 :args (_let_116 false _let_24)) (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_49 _let_66 (not _let_113)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_117)) _let_25 :args (_let_113 false _let_24)) :args ((or _let_49 _let_78) false _let_44 false _let_46 false _let_53 true _let_52 true _let_114 false _let_116 true _let_51 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG (REFL :args _let_79) _let_112 :args _let_73)) :args ((or _let_44 _let_48))) (MACRO_RESOLUTION_TRUST _let_111 (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or _let_49 _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g_false_only X_2 X_1)))) :args _let_107)) _let_108 :args (_let_65 false _let_2)) _let_106 (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_63 (not _let_64)))) _let_104 _let_41 _let_94 (REORDERING (CNF_AND_POS :args (_let_61 0)) :args ((or _let_60 (not _let_61)))) _let_103 (REORDERING (CNF_EQUIV_POS1 :args (_let_62)) :args ((or _let_61 (not _let_57) (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g_true X_2 X_1)))) :args _let_101)) _let_102 :args (_let_62 false _let_3)) _let_100 _let_99 _let_94 (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_52 _let_56 (not _let_58)))) _let_75 _let_89 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_86)) _let_85 _let_23 _let_26 (REORDERING (CNF_AND_POS :args (_let_56 1)) :args ((or _let_55 (not _let_56)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_47 _let_54 (not _let_55)))) _let_80 _let_77 _let_76 _let_75 (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 B) false))))) :args _let_67)) :args ((or _let_66 _let_45))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_44 (= B B)))) :args (_let_45 true _let_43 false _let_65 true _let_42 true _let_64 false _let_36 false _let_37 true _let_28 false _let_60 true _let_29 false _let_61 false _let_62 false _let_31 true _let_27 true _let_28 false _let_57 true _let_52 false _let_32 false _let_58 false _let_19 false _let_17 false _let_18 true _let_56 true _let_16 true _let_55 true _let_48 false _let_46 false _let_53 true _let_52 true _let_51 false _let_50)) :args (_let_48 true _let_44)) :args (_let_49 false _let_48)) :args (_let_42 true _let_43)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST _let_89 (MACRO_RESOLUTION_TRUST _let_100 _let_94 _let_99 (MACRO_RESOLUTION_TRUST _let_103 (MACRO_RESOLUTION_TRUST _let_104 _let_94 (MACRO_RESOLUTION_TRUST _let_106 _let_121 :args ((not _let_36) false _let_42)) _let_41 :args (_let_29 true _let_28 true _let_36 false _let_37)) :args (_let_35 false _let_29)) :args (_let_34 true _let_28 true _let_27 true _let_31)) :args (_let_33 true _let_32)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST _let_85 _let_122 _let_26 _let_23 :args (_let_16 true _let_19 false _let_18 false _let_17)))) (let ((_let_124 (not _let_15))) (let ((_let_125 (REFL :args (_let_9)))) (let ((_let_126 (or _let_12 (tptp.g_true_only tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_127 (not _let_126))) (let ((_let_128 (_let_33))) (let ((_let_129 (or _let_11 _let_109))) (let ((_let_130 (not _let_9))) (let ((_let_131 (_let_12))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_131) (CONG (REFL :args _let_131) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) (REFL :args (_let_130)) :args _let_73)) :args ((or _let_10 _let_12 _let_130))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_11 _let_109 (not _let_129)))) _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) _let_123 :args (_let_129 false _let_16)) :args (_let_11 false _let_42 false _let_129)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_126 0)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128)) (CONG _let_84 (REFL :args (_let_127)) :args _let_73)) _let_122 :args (_let_127 true _let_19)) :args ((not _let_12) true _let_126)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_5 (= B B)))) (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_8 _let_14 _let_124))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 1)) (CONG _let_125 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_73)) :args ((or _let_5 _let_9))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 0)) (CONG _let_125 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_73)) :args ((or _let_7 _let_9))) :args ((or _let_9 _let_124) true _let_13 false _let_5 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) _let_123 :args (_let_15 false _let_16)) :args (_let_9 false _let_15)) :args (false true _let_10 true _let_12 false _let_9)) :args (_let_4 _let_3 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_both X_2 X_1) (and (tptp.g_true X_2 X_1) (tptp.g_false X_2 X_1)))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.75/0.95 )
% 0.75/0.95 % SZS output end Proof for SYO607+1
% 0.75/0.95 % cvc5---1.0.5 exiting
% 0.75/0.95 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------