TSTP Solution File: KLE027+4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE027+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 05:26:57 EDT 2023
% Result : Theorem 21.23s 21.57s
% Output : Proof 21.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE027+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 11:18:07 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 21.23/21.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.htFqWBALaL/cvc5---1.0.5_19544.p...
% 21.23/21.57 ------- get file name : TPTP file name is KLE027+4
% 21.23/21.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19544.smt2...
% 21.23/21.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.23/21.57 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.23/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.23/21.57 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.23/21.57 % SZS status Theorem for KLE027+4
% 21.23/21.57 % SZS output start Proof for KLE027+4
% 21.23/21.57 (
% 21.23/21.57 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (tptp.c X3))) (let ((_let_2 (tptp.multiplication _let_1 X2))) (let ((_let_3 (tptp.multiplication X3 X0))) (let ((_let_4 (tptp.addition (tptp.multiplication X3 (tptp.addition _let_3 (tptp.multiplication _let_1 X1))) _let_2))) (let ((_let_5 (tptp.addition _let_3 _let_2))) (=> (and (tptp.test X3) (tptp.test X4)) (and (tptp.leq _let_4 _let_5) (tptp.leq _let_5 _let_4)))))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_13 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_17 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition _let_15 _let_14)))) (let ((_let_18 (= _let_17 (tptp.addition _let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_20 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_21 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_23 (= tptp.zero _let_22))) (let ((_let_24 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (= tptp.zero _let_24))) (let ((_let_26 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_27 (= tptp.one _let_26))) (let ((_let_28 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_29 (= _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (tptp.addition _let_30 _let_24))) (let ((_let_32 (= (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_31))) (let ((_let_33 (tptp.multiplication _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (= _let_16 _let_33))) (let ((_let_35 (= (tptp.multiplication _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_33 (tptp.multiplication _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_36 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_37 (tptp.addition _let_15 _let_36))) (let ((_let_38 (tptp.addition _let_17 _let_36))) (let ((_let_39 (tptp.leq _let_38 _let_37))) (let ((_let_40 (tptp.leq _let_37 _let_38))) (let ((_let_41 (_let_8))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_42 :args (_let_18 false _let_8)))) (let ((_let_44 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_46) :args (_let_44))) _let_45 :args (_let_19 false _let_44)))) (let ((_let_48 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_20 false _let_48)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_21 false _let_48)))) (let ((_let_53 (and _let_23 _let_25 _let_27))) (let ((_let_54 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_60 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (and _let_39 _let_40))) (let ((_let_67 (not _let_62))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (forall ((X3 $$unsorted) (X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.c X3))) (let ((_let_2 (tptp.multiplication _let_1 X2))) (let ((_let_3 (tptp.multiplication X3 X0))) (let ((_let_4 (tptp.addition (tptp.multiplication X3 (tptp.addition _let_3 (tptp.multiplication _let_1 X1))) _let_2))) (let ((_let_5 (tptp.addition _let_3 _let_2))) (or (not (tptp.test X3)) (and (tptp.leq _let_4 _let_5) (tptp.leq _let_5 _let_4))))))))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (or))) (let ((_let_72 (not _let_69))) (let ((_let_73 (_let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_69))) (REFL :args (_let_70)) :args _let_71)) (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_70 true _let_69)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG (REFL :args (_let_68)) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_62))) :args _let_71)) :args ((or _let_62 _let_68))) _let_74 :args (_let_62 true _let_68)))) (let ((_let_76 (not _let_54))) (let ((_let_77 (_let_61))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_76 _let_53 (not _let_55)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_77)) :args _let_77) (REWRITE :args ((=> _let_61 (not _let_76)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) (REFL :args (_let_54)) :args _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_67 _let_61 (not _let_63)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_46) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_61 false _let_62 false _let_63)) :args (_let_54 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_59) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_53 false _let_54 false _let_55)))) (let ((_let_79 (not _let_53))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 0)) :args ((or _let_23 _let_79))) _let_78 :args (_let_23 false _let_53)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 1)) :args ((or _let_25 _let_79))) _let_78 :args (_let_25 false _let_53)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 2)) :args ((or _let_27 _let_79))) _let_78 :args (_let_27 false _let_53)))) (let ((_let_83 (_let_10))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_83)) _let_84 :args (_let_28 false _let_10)))) (let ((_let_86 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_87 (= _let_29 _let_86))) (let ((_let_88 (or _let_67 _let_87))) (let ((_let_89 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_92 (= tptp.one _let_91))) (let ((_let_93 (and _let_25 _let_23 _let_92))) (let ((_let_94 (= _let_86 _let_93))) (let ((_let_95 (= _let_26 _let_91))) (let ((_let_96 (_let_12))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (and _let_27 _let_95))) (let ((_let_99 (ASSUME :args (_let_95)))) (let ((_let_100 (ASSUME :args (_let_27)))) (let ((_let_101 (SYMM _let_100))) (let ((_let_102 (not _let_25))) (let ((_let_103 (not _let_23))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_87)) :args ((or _let_29 (not _let_86) (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_94)) :args ((or _let_86 (not _let_93) (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_93)) :args ((or _let_103 _let_102 _let_93 (not _let_92)))) _let_80 _let_81 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_100) (SCOPE (TRANS (SYMM _let_101) (SYMM (SYMM _let_99))) :args (_let_95 _let_27))) :args (_let_27 _let_95))) :args (true _let_98)) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_96)) _let_97 :args (_let_95 false _let_12)) :args (_let_92 false _let_27 false _let_95)) :args (_let_93 false _let_23 false _let_25 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_58)) _let_57 :args (_let_94 false _let_56)) :args (_let_86 false _let_93 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_67 _let_87 (not _let_88)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_59) :args (_let_89)))) _let_90 :args (_let_88 false _let_89)) :args (_let_87 false _let_62 false _let_88)) :args (_let_29 false _let_86 false _let_87)))) (let ((_let_105 (_let_7))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_106 :args (_let_32 false _let_7)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_83)) _let_84 :args (_let_34 false _let_10)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_30 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_106 :args (_let_35 false _let_7)))) (let ((_let_110 (= _let_37 (tptp.addition _let_38 _let_37)))) (let ((_let_111 (= _let_39 _let_110))) (let ((_let_112 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (= _let_38 (tptp.addition _let_38 _let_38)))) (let ((_let_115 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (not _let_35))) (let ((_let_118 (not _let_34))) (let ((_let_119 (not _let_32))) (let ((_let_120 (not _let_29))) (let ((_let_121 (not _let_28))) (let ((_let_122 (not _let_27))) (let ((_let_123 (not _let_21))) (let ((_let_124 (not _let_20))) (let ((_let_125 (not _let_19))) (let ((_let_126 (not _let_18))) (let ((_let_127 (and _let_18 _let_19 _let_20 _let_21 _let_114 _let_23 _let_25 _let_27 _let_29 _let_28 _let_32 _let_34 _let_35))) (let ((_let_128 (APPLY_UF tptp.addition))) (let ((_let_129 (APPLY_UF tptp.multiplication))) (let ((_let_130 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_131 (ASSUME :args (_let_19)))) (let ((_let_132 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_133 (ASSUME :args (_let_32)))) (let ((_let_134 (ASSUME :args (_let_35)))) (let ((_let_135 (ASSUME :args (_let_25)))) (let ((_let_136 (ASSUME :args (_let_21)))) (let ((_let_137 (ASSUME :args (_let_20)))) (let ((_let_138 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_139 (ASSUME :args (_let_23)))) (let ((_let_140 (ASSUME :args (_let_28)))) (let ((_let_141 (ASSUME :args (_let_29)))) (let ((_let_142 (ASSUME :args (_let_34)))) (let ((_let_143 (ASSUME :args (_let_18)))) (let ((_let_144 (CONG (TRANS (SYMM (SYMM _let_143)) (CONG (SYMM (SYMM _let_142)) (TRANS (CONG _let_132 (CONG (SYMM (SYMM _let_141)) _let_138 :args _let_129) :args _let_129) (SYMM (SYMM _let_140)) (CONG (SYMM _let_139) _let_138 :args _let_129) (SYMM _let_137) (SYMM (SYMM _let_136)) (CONG (SYMM (SYMM _let_135)) _let_130 :args _let_129)) :args _let_128) (SYMM _let_134) (CONG (TRANS (SYMM _let_133) (CONG _let_101 _let_132 :args _let_129) (SYMM _let_131)) _let_130 :args _let_129)) (REFL :args (_let_36)) :args _let_128))) (let ((_let_145 (ASSUME :args (_let_114)))) (let ((_let_146 (SYMM _let_144))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_111)) :args ((or _let_39 (not _let_110) (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_131 _let_100 _let_133 _let_134 _let_142 _let_135 _let_136 _let_137 _let_139 _let_140 _let_141 _let_143 _let_145) (SCOPE (TRANS _let_146 (SYMM (SYMM _let_145)) (CONG (REFL :args (_let_38)) _let_144 :args _let_128)) :args (_let_19 _let_27 _let_32 _let_35 _let_34 _let_25 _let_21 _let_20 _let_23 _let_28 _let_29 _let_18 _let_114))) :args (_let_18 _let_19 _let_20 _let_21 _let_114 _let_23 _let_25 _let_27 _let_29 _let_28 _let_32 _let_34 _let_35))) :args (true _let_127)) :args ((or _let_110 _let_126 _let_125 _let_124 _let_123 (not _let_114) _let_103 _let_102 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117))) _let_43 _let_47 _let_51 _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_38 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) _let_80 _let_81 _let_82 _let_85 _let_104 _let_107 _let_108 _let_109 :args (_let_110 false _let_18 false _let_19 false _let_20 false _let_21 false _let_114 false _let_23 false _let_25 false _let_27 false _let_28 false _let_29 false _let_32 false _let_34 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_38 _let_37 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_112))) _let_113 :args (_let_111 false _let_112)) :args (_let_39 false _let_110 false _let_111)))) (let ((_let_148 (and _let_39 _let_18 _let_19 _let_20 _let_21 _let_23 _let_25 _let_27 _let_29 _let_28 _let_32 _let_34 _let_35))) (let ((_let_149 (ASSUME :args (_let_39)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_148)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_149 _let_143 _let_142 _let_141 _let_140 _let_139 _let_137 _let_136 _let_135 _let_134 _let_133 _let_100 _let_131) (SCOPE (TRUE_ELIM (TRANS (CONG _let_146 _let_144 :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_149))) :args (_let_39 _let_18 _let_34 _let_29 _let_28 _let_23 _let_20 _let_21 _let_25 _let_35 _let_32 _let_27 _let_19))) :args (_let_39 _let_18 _let_19 _let_20 _let_21 _let_23 _let_25 _let_27 _let_29 _let_28 _let_32 _let_34 _let_35))) :args (true _let_148)) :args ((or _let_40 (not _let_39) _let_126 _let_125 _let_124 _let_123 _let_103 _let_102 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_66)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 1)) _let_74 :args ((not _let_66) true _let_68)) _let_147 :args ((not _let_40) true _let_66 false _let_39)) _let_147 _let_109 _let_108 _let_107 _let_104 _let_85 _let_82 _let_81 _let_80 _let_52 _let_51 _let_47 _let_43 :args (false true _let_40 false _let_39 false _let_35 false _let_34 false _let_32 false _let_29 false _let_28 false _let_27 false _let_25 false _let_23 false _let_21 false _let_20 false _let_19 false _let_18)) :args (_let_12 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_11 _let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.23/21.57 )
% 21.23/21.57 % SZS output end Proof for KLE027+4
% 21.23/21.57 % cvc5---1.0.5 exiting
% 21.23/21.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------