TSTP Solution File: KLE007+4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE007+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 05:26:47 EDT 2023
% Result : Theorem 1.93s 2.13s
% Output : Proof 1.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : KLE007+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 11:59:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 1.93/2.13 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wlBFq5g6sX/cvc5---1.0.5_9397.p...
% 1.93/2.13 ------- get file name : TPTP file name is KLE007+4
% 1.93/2.13 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9397.smt2...
% 1.93/2.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.93/2.13 % SZS status Theorem for KLE007+4
% 1.93/2.13 % SZS output start Proof for KLE007+4
% 1.93/2.13 (
% 1.93/2.13 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition X0 (tptp.c X0)))) (let ((_let_2 (tptp.addition (tptp.multiplication _let_1 X1) (tptp.multiplication _let_1 (tptp.c X1))))) (=> (and (tptp.test X1) (tptp.test X0)) (and (tptp.leq tptp.one _let_2) (tptp.leq _let_2 tptp.one))))))))) (let ((_let_2 (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))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_4 (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_5 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (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)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_15 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (tptp.multiplication _let_17 _let_15))) (let ((_let_19 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.complement _let_19 _let_18))) (let ((_let_21 (forall ((X1 $$unsorted)) (not (tptp.complement X1 (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_23 (tptp.multiplication _let_15 _let_17))) (let ((_let_24 (= _let_23 (tptp.multiplication tptp.one _let_23)))) (let ((_let_25 (= _let_15 (tptp.multiplication _let_15 tptp.one)))) (let ((_let_26 (= _let_18 (tptp.multiplication _let_18 tptp.one)))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_28 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_29 (tptp.multiplication _let_17 _let_23))) (let ((_let_30 (= (tptp.multiplication _let_18 _let_17) _let_29))) (let ((_let_31 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_32 (= (tptp.multiplication _let_19 _let_17) (tptp.multiplication _let_17 _let_31)))) (let ((_let_33 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (= tptp.one _let_33))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_36 (tptp.multiplication _let_16 _let_15))) (let ((_let_37 (tptp.addition _let_35 _let_36))) (let ((_let_38 (= _let_37 (tptp.addition _let_36 _let_35)))) (let ((_let_39 (= _let_18 _let_37))) (let ((_let_40 (= _let_17 _let_33))) (let ((_let_41 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.multiplication tptp.one A)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_22 false _let_41)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_24 false _let_41)))) (let ((_let_47 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((tptp.multiplication A tptp.one)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_25 false _let_47)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_26 false _let_47)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_27 false _let_47)))) (let ((_let_54 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_28))) (let ((_let_57 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 ((tptp.complement X0 X1)))) (let ((_let_61 (tptp.addition _let_19 _let_18))) (let ((_let_62 (tptp.leq _let_61 tptp.one))) (let ((_let_63 (tptp.leq tptp.one _let_61))) (let ((_let_64 (and _let_63 _let_62))) (let ((_let_65 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_55 _let_66 _let_64))) (let ((_let_68 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition X0 (tptp.c X0)))) (let ((_let_2 (tptp.addition (tptp.multiplication _let_1 X1) (tptp.multiplication _let_1 (tptp.c X1))))) (or (not (tptp.test X1)) (not (tptp.test X0)) (and (tptp.leq tptp.one _let_2) (tptp.leq _let_2 tptp.one)))))))) (let ((_let_69 (not _let_67))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (or))) (let ((_let_72 (not _let_68))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_70) :args (_let_72))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_68))) (REFL :args (_let_69)) :args _let_71)) _let_70 :args (_let_69 true _let_68)))) (let ((_let_74 (REFL :args (_let_67)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_71)) :args ((or _let_54 _let_67))) _let_73 :args (_let_54 true _let_67)))) (let ((_let_76 (_let_11))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_17 _let_15 _let_17 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76))) _let_77 :args (_let_30 false _let_11)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76))) _let_77 :args (_let_32 false _let_11)))) (let ((_let_81 (and (= tptp.zero (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16)) _let_34))) (let ((_let_82 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_83 (= _let_82 _let_81))) (let ((_let_84 (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_85 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 ((tptp.multiplication X0 X1)))) (let ((_let_88 (or _let_66 _let_82))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 2)) :args ((or _let_34 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_83)) :args ((or _let_81 (not _let_82) (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_66 _let_82 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_71)) :args ((or _let_65 _let_67))) _let_73 :args (_let_65 true _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59))) _let_58 :args (_let_88 false _let_57)) :args (_let_82 false _let_65 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) _let_85 :args (_let_83 false _let_84)) :args (_let_81 false _let_82 false _let_83)) :args (_let_34 false _let_81)))) (let ((_let_90 (_let_14))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((tptp.addition A B)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_35 _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_38 false _let_14)))) (let ((_let_94 (_let_7))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 _let_15 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_39 false _let_7)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_40 false _let_14)))) (let ((_let_99 (not _let_22))) (let ((_let_100 (not _let_24))) (let ((_let_101 (not _let_25))) (let ((_let_102 (not _let_26))) (let ((_let_103 (not _let_27))) (let ((_let_104 (not _let_30))) (let ((_let_105 (not _let_32))) (let ((_let_106 (not _let_34))) (let ((_let_107 (not _let_38))) (let ((_let_108 (not _let_39))) (let ((_let_109 (not _let_40))) (let ((_let_110 (and _let_40 _let_39 _let_38 _let_34 _let_32 _let_30 _let_28 _let_27 _let_26 _let_25 _let_24 _let_22))) (let ((_let_111 (ASSUME :args (_let_28)))) (let ((_let_112 (APPLY_UF tptp.complement))) (let ((_let_113 (REFL :args (_let_15)))) (let ((_let_114 (ASSUME :args (_let_27)))) (let ((_let_115 (SYMM _let_114))) (let ((_let_116 (APPLY_UF tptp.multiplication))) (let ((_let_117 (ASSUME :args (_let_34)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (ASSUME :args (_let_40)))) (let ((_let_120 (SYMM _let_119))) (let ((_let_121 (TRANS (SYMM _let_120) _let_118))) (let ((_let_122 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_123 (CONG _let_122 _let_121 :args _let_116))) (let ((_let_124 (TRANS _let_123 _let_115))) (let ((_let_125 (ASSUME :args (_let_25)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (CONG _let_113 _let_121 :args _let_116))) (let ((_let_128 (ASSUME :args (_let_24)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (REFL :args (_let_23)))) (let ((_let_131 (CONG _let_121 _let_130 :args _let_116))) (let ((_let_132 (ASSUME :args (_let_30)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (TRANS _let_134 _let_131 _let_129 _let_127 _let_126))) (let ((_let_136 (SYMM _let_124))) (let ((_let_137 (ASSUME :args (_let_22)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (CONG _let_121 _let_124 :args _let_116))) (let ((_let_140 (ASSUME :args (_let_32)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (SYMM _let_139))) (let ((_let_144 (ASSUME :args (_let_39)))) (let ((_let_145 (ASSUME :args (_let_38)))) (let ((_let_146 (TRANS (SYMM _let_145) (SYMM _let_144)))) (let ((_let_147 (CONG _let_146 (REFL :args (_let_17)) :args _let_116))) (let ((_let_148 (SYMM _let_146))) (let ((_let_149 (CONG _let_148 (SYMM _let_121) :args _let_116))) (let ((_let_150 (ASSUME :args (_let_26)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (not _let_21))) (let ((_let_154 (tptp.test _let_18))) (let ((_let_155 (= _let_154 _let_153))) (let ((_let_156 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (_let_156))) (let ((_let_159 ((tptp.test X0)))) (let ((_let_160 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.c _let_18)))) (let ((_let_161 (tptp.complement _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_162 (= _let_161 _let_160))) (let ((_let_163 (not _let_154))) (let ((_let_164 (or _let_163 _let_162))) (let ((_let_165 (not _let_162))) (let ((_let_166 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_167 (tptp.multiplication _let_17 _let_166))) (let ((_let_168 (= _let_61 _let_167))) (let ((_let_169 (tptp.addition tptp.one _let_19))) (let ((_let_170 (tptp.addition _let_169 _let_18))) (let ((_let_171 (tptp.addition tptp.one _let_61))) (let ((_let_172 (= _let_171 _let_170))) (let ((_let_173 (tptp.multiplication _let_15 _let_16))) (let ((_let_174 (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_175 (tptp.addition _let_174 _let_173))) (let ((_let_176 (= _let_23 _let_175))) (let ((_let_177 (= _let_31 (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))))) (let ((_let_178 (tptp.multiplication _let_16 _let_166))) (let ((_let_179 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_166))) (let ((_let_180 (tptp.addition _let_179 _let_178))) (let ((_let_181 (= _let_167 _let_180))) (let ((_let_182 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_183 (= tptp.one _let_182))) (let ((_let_184 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_185 (= _let_182 _let_184))) (let ((_let_186 (tptp.addition _let_18 _let_169))) (let ((_let_187 (= _let_170 _let_186))) (let ((_let_188 (= _let_175 (tptp.addition _let_173 _let_174)))) (let ((_let_189 (tptp.addition _let_178 _let_179))) (let ((_let_190 (= _let_180 _let_189))) (let ((_let_191 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_61))) (let ((_let_192 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_191) (tptp.addition _let_182 _let_61)))) (let ((_let_193 (tptp.c _let_15))) (let ((_let_194 (= _let_193 (tptp.addition _let_193 _let_193)))) (let ((_let_195 (tptp.multiplication _let_166 tptp.one))) (let ((_let_196 (= (tptp.multiplication _let_17 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(EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_416 (_let_414))) (let ((_let_417 ((tptp.leq A B)))) (let ((_let_418 (and _let_40 _let_39 _let_235 _let_38 _let_34 _let_32 _let_30 _let_209 _let_27 _let_26 _let_25 _let_24 _let_22 _let_214))) (let ((_let_419 (ASSUME :args _let_240))) (let ((_let_420 (TRANS _let_125 (SYMM _let_127) _let_128 (SYMM _let_131) _let_133))) (let ((_let_421 (not _let_155))) (let ((_let_422 (_let_21))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_422) :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.complement X1 _let_18) false))))) :args _let_422)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_155)) (CONG (REFL :args (_let_421)) (REFL :args (_let_154)) (MACRO_SR_PRED_INTRO :args ((= (not _let_153) _let_21))) :args _let_71)) :args ((or _let_154 _let_21 _let_421))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS 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_let_176 false _let_172 false _let_38 false _let_217 false _let_39 false _let_168 false _let_40 false _let_215 false _let_214 false _let_213 false _let_22 false _let_24 false _let_212 false _let_25 false _let_211 false _let_26 false _let_27 false _let_210 false _let_209 false _let_208 false _let_206 false _let_205 false _let_204 false _let_202 false _let_200 false _let_34 false _let_199 false _let_197 false _let_30 false _let_32 false _let_196 false _let_194 false _let_192 false _let_190 false _let_188 false _let_187 false _let_185 false _let_183 false _let_181 false _let_177 false _let_176 false _let_172 false _let_38 false _let_39 false _let_168 false _let_40)) :args (_let_165 false _let_161 true _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) _let_58 :args (_let_164 false _let_57)) :args (_let_163 true _let_162 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_158)) _let_157 :args (_let_155 false _let_156)) :args (_let_21 true _let_154 false _let_155)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_114 _let_117 _let_119 _let_125 _let_128 _let_132 _let_137 _let_140 _let_144 _let_145 _let_150) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_19)) (TRANS _let_152 _let_149 _let_147 _let_134 _let_131 _let_129 _let_127 _let_126) :args _let_112) (CONG (TRANS (CONG _let_121 _let_122 :args _let_116) _let_143 _let_141) _let_113 :args _let_112) (CONG (TRANS (TRANS _let_142 _let_139 _let_138 _let_114 (SYMM _let_123)) _let_124) (SYMM _let_135) :args _let_112) (CONG _let_136 _let_135 :args _let_112) (CONG _let_124 _let_113 :args _let_112) (TRUE_INTRO _let_111))) :args (_let_28 _let_27 _let_34 _let_40 _let_25 _let_24 _let_30 _let_22 _let_32 _let_39 _let_38 _let_26))) :args (_let_40 _let_39 _let_38 _let_34 _let_32 _let_30 _let_28 _let_27 _let_26 _let_25 _let_24 _let_22))) :args (true _let_110)) :args ((or _let_109 _let_108 _let_20 _let_107 _let_106 _let_105 _let_104 (not _let_28) _let_103 _let_102 _let_101 _let_100 _let_99))) _let_98 _let_97 _let_93 _let_89 _let_80 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_28 (not _let_56)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59))) _let_58 :args (_let_56 false _let_57)) :args (_let_28 false _let_54 false _let_56)) _let_53 _let_52 _let_51 _let_46 _let_45 :args (_let_20 false _let_40 false _let_39 false _let_38 false _let_34 false _let_32 false _let_30 false _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_22)) :args (false false _let_21 false _let_20)) :args (_let_14 _let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.93/2.14 )
% 1.93/2.14 % SZS output end Proof for KLE007+4
% 1.93/2.14 % cvc5---1.0.5 exiting
% 1.93/2.14 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------