%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE013+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 05:26:51 EDT 2023

% Result   : Theorem 11.15s 11.42s
% Output   : Proof 11.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : KLE013+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 11:02:31 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  %----Proving TF0_NAR, FOF, or CNF
% 11.15/11.42  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EGNKOHKfx2/cvc5---1.0.5_24152.p...
% 11.15/11.42  ------- get file name : TPTP file name is KLE013+1
% 11.15/11.42  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24152.smt2...
% 11.15/11.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.15/11.42  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.15/11.42  % SZS status Theorem for KLE013+1
% 11.15/11.42  % SZS output start Proof for KLE013+1
% 11.15/11.42  (
% 11.15/11.42  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X1) (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition X0 X1) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))))) (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 ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_11 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (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_3))) (let ((_let_14 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.multiplication _let_14 _let_13))) (let ((_let_16 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.addition _let_16 _let_15))) (let ((_let_18 (= tptp.one _let_17))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= _let_16 _let_19))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_25 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_26 (= _let_13 (tptp.multiplication tptp.one _let_13)))) (let ((_let_27 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_29 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_32 (= _let_16 (tptp.multiplication _let_16 tptp.one)))) (let ((_let_33 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (= _let_33 (tptp.addition _let_33 tptp.zero)))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (= _let_36 (tptp.addition _let_33 _let_35)))) (let ((_let_38 (tptp.addition _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (tptp.addition _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (= (tptp.addition _let_14 _let_21) _let_41))) (let ((_let_43 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_44 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39) (tptp.addition _let_33 _let_43)))) (let ((_let_45 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_46 (= (tptp.multiplication _let_38 _let_13) (tptp.addition _let_15 _let_45)))) (let ((_let_47 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_48 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_50 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_49) (tptp.addition _let_48 _let_47)))) (let ((_let_51 (tptp.addition _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (= _let_49 _let_51))) (let ((_let_53 (tptp.addition _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_54 (= (tptp.addition _let_13 _let_29) _let_53))) (let ((_let_55 (= _let_48 (tptp.addition _let_48 tptp.zero)))) (let ((_let_56 (= (tptp.multiplication _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_35)))) (let ((_let_57 (= tptp.zero _let_47))) (let ((_let_58 (= tptp.one _let_51))) (let ((_let_59 (= tptp.zero _let_43))) (let ((_let_60 (= tptp.one _let_38))) (let ((_let_61 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_62 (= (tptp.multiplication _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition (tptp.multiplication _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_61)))) (let ((_let_63 (= (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_48 _let_61)))) (let ((_let_64 (= (tptp.addition _let_13 _let_19) (tptp.addition _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_65 (= _let_45 (tptp.addition _let_45 tptp.zero)))) (let ((_let_66 (tptp.multiplication _let_16 _let_16))) (let ((_let_67 (= _let_66 (tptp.addition _let_36 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_68 (= _let_17 (tptp.addition _let_15 _let_16)))) (let ((_let_69 (tptp.multiplication _let_16 _let_13))) (let ((_let_70 (= _let_69 (tptp.addition _let_45 _let_47)))) (let ((_let_71 (tptp.addition _let_69 _let_66))) (let ((_let_72 (= (tptp.multiplication _let_16 (tptp.addition _let_13 _let_16)) _let_71))) (let ((_let_73 (= (tptp.addition _let_15 _let_71) (tptp.addition (tptp.addition _let_15 _let_69) _let_66)))) (let ((_let_74 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75 _let_18))) (let ((_let_79 (not _let_18))) (let ((_let_80 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X1)) (not (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition X0 X1) (tptp.multiplication (tptp.c X0) (tptp.c X1)))))))) (let ((_let_81 (not _let_78))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (or))) (let ((_let_84 (not _let_80))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_82) :args (_let_84))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_80))) (REFL :args (_let_81)) :args _let_83)) _let_82 :args (_let_81 true _let_80)))) (let ((_let_86 (_let_12))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_92 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_102 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 (_let_5))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 QUANTIFIERS_INST_ENUM))) (let ((_let_108 (_let_11))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (_let_6))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 QUANTIFIERS_INST_ENUM))) (let ((_let_113 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 QUANTIFIERS_INST_ENUM))) (let ((_let_114 (and (= tptp.zero (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_57 _let_58))) (let ((_let_115 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_116 (= _let_115 _let_114))) (let ((_let_117 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 (or _let_77 _let_115))) (let ((_let_121 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 (REFL :args (_let_78)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or (not _let_115) _let_114 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_77 _let_115 (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG _let_124 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_83)) :args ((or _let_76 _let_78))) _let_85 :args (_let_76 true _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_122 :args _let_113) :args _let_123))) _let_122 :args (_let_120 false _let_121)) :args (_let_115 false _let_76 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_114 false _let_115 false _let_116)))) (let ((_let_126 (not _let_114))) (let ((_let_127 (and (= tptp.zero (tptp.multiplication _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_59 _let_60))) (let ((_let_128 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_129 (= _let_128 _let_127))) (let ((_let_130 (or _let_75 _let_128))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_129)) :args ((or (not _let_128) _let_127 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_75 _let_128 (not _let_130)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 1)) (CONG _let_124 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_83)) :args ((or _let_74 _let_78))) _let_85 :args (_let_74 true _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_122 :args _let_107) :args _let_123))) _let_122 :args (_let_130 false _let_121)) :args (_let_128 false _let_74 false _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_129 false _let_117)) :args (_let_127 false _let_128 false _let_129)))) (let ((_let_132 (not _let_127))) (let ((_let_133 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_134 (not _let_73))) (let ((_let_135 (not _let_72))) (let ((_let_136 (not _let_70))) (let ((_let_137 (not _let_68))) (let ((_let_138 (not _let_67))) (let ((_let_139 (not _let_65))) (let ((_let_140 (not _let_64))) (let ((_let_141 (not _let_63))) (let ((_let_142 (not _let_62))) (let ((_let_143 (not _let_60))) (let ((_let_144 (not _let_58))) (let ((_let_145 (not _let_56))) (let ((_let_146 (not _let_55))) (let ((_let_147 (not _let_54))) (let ((_let_148 (not _let_52))) (let ((_let_149 (not _let_57))) (let ((_let_150 (not _let_50))) (let ((_let_151 (not _let_46))) (let ((_let_152 (not _let_44))) (let ((_let_153 (not _let_42))) (let ((_let_154 (not _let_40))) (let ((_let_155 (not _let_59))) (let ((_let_156 (not _let_37))) (let ((_let_157 (not _let_34))) (let ((_let_158 (not _let_32))) (let ((_let_159 (not _let_31))) (let ((_let_160 (not _let_30))) (let ((_let_161 (not _let_28))) (let ((_let_162 (not _let_27))) (let ((_let_163 (not _let_26))) (let ((_let_164 (not _let_25))) (let ((_let_165 (not _let_24))) (let ((_let_166 (not _let_23))) (let ((_let_167 (not _let_22))) (let ((_let_168 (not _let_20))) (let ((_let_169 (_let_134))) (let ((_let_170 (ASSUME :args (_let_73)))) (let ((_let_171 (ASSUME :args (_let_79)))) (let ((_let_172 (ASSUME :args (_let_68)))) (let ((_let_173 (APPLY_UF tptp.addition))) (let ((_let_174 (ASSUME :args (_let_32)))) (let ((_let_175 (APPLY_UF tptp.multiplication))) (let ((_let_176 (ASSUME :args (_let_60)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (ASSUME :args (_let_22)))) (let ((_let_179 (CONG (REFL :args (_let_14)) (SYMM _let_178) :args _let_173))) (let ((_let_180 (ASSUME :args (_let_42)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_183 (ASSUME :args (_let_58)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (CONG (TRANS _let_184 _let_176) _let_182 :args _let_173))) (let ((_let_186 (ASSUME :args (_let_64)))) (let ((_let_187 (SYMM (SYMM _let_186)))) (let ((_let_188 (ASSUME :args (_let_20)))) (let ((_let_189 (SYMM (SYMM _let_188)))) (let ((_let_190 (REFL :args (_let_13)))) (let ((_let_191 (ASSUME :args (_let_72)))) (let ((_let_192 (REFL :args (_let_15)))) (let ((_let_193 (ASSUME :args (_let_28)))) (let ((_let_194 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_195 (ASSUME :args (_let_62)))) (let ((_let_196 (ASSUME :args (_let_31)))) (let ((_let_197 (ASSUME :args (_let_52)))) (let ((_let_198 (ASSUME :args (_let_50)))) (let ((_let_199 (ASSUME :args (_let_57)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (ASSUME :args (_let_27)))) (let ((_let_202 (REFL :args (_let_48)))) (let ((_let_203 (ASSUME :args (_let_55)))) (let ((_let_204 (ASSUME :args (_let_63)))) (let ((_let_205 (ASSUME :args (_let_23)))) (let ((_let_206 (CONG _let_182 _let_184 :args _let_175))) (let ((_let_207 (ASSUME :args (_let_40)))) (let ((_let_208 (CONG _let_182 (TRANS (SYMM (SYMM _let_207)) _let_177 _let_183) :args _let_175))) (let ((_let_209 (ASSUME :args (_let_44)))) (let ((_let_210 (ASSUME :args (_let_59)))) (let ((_let_211 (ASSUME :args (_let_25)))) (let ((_let_212 (REFL :args (_let_33)))) (let ((_let_213 (CONG _let_212 (TRANS (SYMM _let_211) (SYMM (SYMM 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_101) :args _let_97)) _let_96 :args (_let_28 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args _let_101) :args _let_100)) _let_99 :args (_let_27 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_96 :args (_let_26 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args _let_91) :args _let_100)) _let_99 :args (_let_25 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_91) :args _let_97)) _let_96 :args (_let_24 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args _let_91) :args _let_94)) _let_93 :args (_let_23 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_91) :args _let_90)) _let_89 :args (_let_22 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_86)) _let_87 :args (_let_20 false _let_12)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 2)) _let_85 :args (_let_79 true _let_78)) :args (false false _let_73 false _let_72 false _let_70 false _let_68 false _let_67 false _let_65 false _let_64 false _let_63 false _let_62 false _let_60 false _let_59 false _let_58 false _let_57 false _let_56 false _let_55 false _let_54 false _let_52 false _let_50 false _let_46 false _let_44 false _let_42 false _let_40 false _let_37 false _let_34 false _let_32 false _let_31 false _let_30 false _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_22 false _let_20 true _let_18)) :args (_let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))) _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.15/11.43  )
% 11.15/11.43  % SZS output end Proof for KLE013+1
% 11.15/11.43  % cvc5---1.0.5 exiting
% 11.15/11.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------