TSTP Solution File: KLE143+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE143+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 05:27:24 EDT 2023
% Result : Theorem 21.95s 22.23s
% Output : Proof 21.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE143+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n008.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 : Tue Aug 29 11:00:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 21.95/22.23 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.J7U3qBWahX/cvc5---1.0.5_3630.p...
% 21.95/22.23 ------- get file name : TPTP file name is KLE143+2
% 21.95/22.23 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3630.smt2...
% 21.95/22.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.95/22.23 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.95/22.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.95/22.23 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.95/22.23 % SZS status Theorem for KLE143+2
% 21.95/22.23 % SZS output start Proof for KLE143+2
% 21.95/22.23 (
% 21.95/22.23 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration X0))) (let ((_let_2 (tptp.multiplication _let_1 _let_1))) (and (tptp.leq _let_2 _let_1) (tptp.leq _let_1 _let_2)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.multiplication tptp.one tptp.one))) (let ((_let_17 (= tptp.one _let_16))) (let ((_let_18 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_18))) (let ((_let_20 (tptp.addition _let_19 tptp.one))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.multiplication tptp.one _let_19))) (let ((_let_23 (= _let_19 _let_22))) (let ((_let_24 (tptp.addition tptp.one tptp.one))) (let ((_let_25 (= tptp.one _let_24))) (let ((_let_26 (tptp.addition tptp.one _let_19))) (let ((_let_27 (tptp.addition tptp.one _let_26))) (let ((_let_28 (= _let_27 (tptp.addition _let_24 _let_19)))) (let ((_let_29 (= (tptp.multiplication tptp.one _let_20) (tptp.addition _let_22 _let_16)))) (let ((_let_30 (tptp.multiplication _let_18 _let_18))) (let ((_let_31 (= _let_30 (tptp.addition _let_18 _let_30)))) (let ((_let_32 (= (tptp.multiplication _let_27 _let_18) (tptp.addition (tptp.multiplication tptp.one _let_18) (tptp.multiplication _let_26 _let_18))))) (let ((_let_33 (= _let_20 _let_26))) (let ((_let_34 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.one QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 (_let_14))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_9))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (tptp.leq _let_18 _let_30))) (let ((_let_50 (= _let_49 _let_31))) (let ((_let_51 (not _let_31))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 (forall ((BOUND_VARIABLE_783 $$unsorted)) (let ((_let_1 (tptp.strong_iteration BOUND_VARIABLE_783))) (tptp.leq _let_1 (tptp.multiplication _let_1 _let_1)))))) (let ((_let_56 (not _let_49))) (let ((_let_57 (forall ((BOUND_VARIABLE_776 $$unsorted)) (let ((_let_1 (tptp.strong_iteration BOUND_VARIABLE_776))) (tptp.leq (tptp.multiplication _let_1 _let_1) _let_1))))) (let ((_let_58 (not _let_55))) (let ((_let_59 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (tptp.multiplication _let_59 _let_59))) (let ((_let_61 (tptp.leq _let_60 _let_59))) (let ((_let_62 (= _let_59 (tptp.addition _let_60 _let_59)))) (let ((_let_63 (= _let_61 _let_62))) (let ((_let_64 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (tptp.multiplication _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (tptp.addition tptp.one _let_65))) (let ((_let_67 (= _let_64 _let_66))) (let ((_let_68 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59))) (let ((_let_69 (tptp.addition _let_68 tptp.one))) (let ((_let_70 (= _let_59 _let_69))) (let ((_let_71 (tptp.multiplication _let_59 tptp.zero))) (let ((_let_72 (tptp.addition _let_64 _let_71))) (let ((_let_73 (= _let_59 _let_72))) (let ((_let_74 (tptp.multiplication tptp.zero _let_59))) (let ((_let_75 (= tptp.zero _let_74))) (let ((_let_76 (tptp.multiplication _let_71 _let_59))) (let ((_let_77 (= _let_76 (tptp.multiplication _let_59 _let_74)))) (let ((_let_78 (tptp.multiplication _let_76 _let_71))) (let ((_let_79 (tptp.multiplication _let_76 _let_64))) (let ((_let_80 (tptp.addition _let_79 _let_78))) (let ((_let_81 (= (tptp.multiplication _let_76 _let_72) _let_80))) (let ((_let_82 (= (tptp.multiplication _let_72 _let_59) (tptp.addition (tptp.multiplication _let_64 _let_59) _let_76)))) (let ((_let_83 (tptp.addition tptp.one _let_68))) (let ((_let_84 (= _let_69 _let_83))) (let ((_let_85 (tptp.multiplication tptp.zero _let_64))) (let ((_let_86 (= tptp.zero _let_85))) (let ((_let_87 (tptp.multiplication tptp.zero _let_71))) (let ((_let_88 (= tptp.zero _let_87))) (let ((_let_89 (= _let_60 (tptp.addition _let_60 _let_60)))) (let ((_let_90 (tptp.multiplication _let_65 _let_59))) (let ((_let_91 (tptp.multiplication tptp.one _let_59))) (let ((_let_92 (= (tptp.multiplication _let_66 _let_59) (tptp.addition _let_91 _let_90)))) (let ((_let_93 (= _let_59 _let_91))) (let ((_let_94 (tptp.multiplication _let_64 _let_68))) (let ((_let_95 (= _let_90 _let_94))) (let ((_let_96 (tptp.addition _let_94 _let_68))) (let ((_let_97 (= _let_68 _let_96))) (let ((_let_98 (tptp.addition _let_68 _let_94))) (let ((_let_99 (= _let_96 _let_98))) (let ((_let_100 (= (tptp.addition tptp.one _let_98) (tptp.addition _let_83 _let_94)))) (let ((_let_101 (= (tptp.multiplication _let_59 _let_85) (tptp.multiplication _let_71 _let_64)))) (let ((_let_102 (= (tptp.multiplication _let_59 _let_87) (tptp.multiplication _let_71 _let_71)))) (let ((_let_103 (= (tptp.addition _let_64 _let_80) (tptp.addition (tptp.addition _let_64 _let_79) _let_78)))) (let ((_let_104 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_106) :args _let_37)) _let_38 :args (_let_70 false _let_4)))) (let ((_let_108 (_let_3))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_110))) (let ((_let_113 (_let_12))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (_let_8))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (_let_15))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (tptp.leq _let_94 _let_68))) (let ((_let_120 (= _let_119 _let_97))) (let ((_let_121 (_let_94 _let_68 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_122 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68))) (let ((_let_123 (tptp.leq (tptp.addition _let_122 _let_68) _let_68))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_119))) (let ((_let_126 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A C) B) C)) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (tptp.addition _let_68 _let_68))) (let ((_let_129 (= _let_68 _let_128))) (let ((_let_130 (tptp.addition _let_68 _let_69))) (let ((_let_131 (= _let_130 (tptp.addition _let_128 tptp.one)))) (let ((_let_132 (tptp.leq _let_68 _let_68))) (let ((_let_133 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_130) (tptp.addition _let_122 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_69))))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_68 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_44)) _let_43 :args (_let_129 false _let_42)))) (let ((_let_135 (= _let_129 _let_132))) (let ((_let_136 (not _let_129))) (let ((_let_137 (not _let_70))) (let ((_let_138 (and _let_70 _let_129 _let_131 _let_132 _let_133))) (let ((_let_139 (ASSUME :args (_let_132)))) (let ((_let_140 (APPLY_UF tptp.multiplication))) (let ((_let_141 (ASSUME :args (_let_70)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (APPLY_UF tptp.addition))) (let ((_let_144 (REFL :args (tptp.one)))) (let ((_let_145 (ASSUME :args (_let_129)))) (let ((_let_146 (ASSUME :args (_let_131)))) (let ((_let_147 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_148 (ASSUME :args (_let_133)))) (let ((_let_149 (and _let_67 _let_70 _let_73 _let_84 _let_75 _let_77 _let_81 _let_82 _let_86 _let_88 _let_89 _let_92 _let_93 _let_95 _let_97 _let_99 _let_100 _let_101 _let_102 _let_103))) (let ((_let_150 (ASSUME :args (_let_73)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (ASSUME :args (_let_75)))) (let ((_let_153 (REFL :args (_let_59)))) (let ((_let_154 (CONG _let_153 (SYMM _let_152) :args _let_140))) (let ((_let_155 (ASSUME :args (_let_77)))) (let ((_let_156 (SYMM (SYMM _let_155)))) (let ((_let_157 (TRANS _let_156 _let_154))) (let ((_let_158 (ASSUME :args (_let_81)))) (let ((_let_159 (REFL :args (_let_64)))) (let ((_let_160 (CONG _let_159 (TRANS (SYMM _let_158) (CONG (REFL :args (_let_76)) _let_151 :args _let_140) (CONG _let_157 _let_153 :args _let_140) _let_156 _let_154) :args _let_143))) (let ((_let_161 (ASSUME :args (_let_103)))) (let ((_let_162 (SYMM _let_157))) (let ((_let_163 (ASSUME :args (_let_102)))) (let ((_let_164 (ASSUME :args (_let_88)))) (let ((_let_165 (ASSUME :args (_let_101)))) (let ((_let_166 (ASSUME :args (_let_86)))) (let ((_let_167 (ASSUME :args (_let_84)))) (let ((_let_168 (ASSUME :args (_let_97)))) (let ((_let_169 (ASSUME :args (_let_99)))) (let ((_let_170 (ASSUME :args (_let_100)))) (let ((_let_171 (ASSUME :args (_let_95)))) (let ((_let_172 (ASSUME :args (_let_93)))) (let ((_let_173 (ASSUME :args (_let_92)))) (let ((_let_174 (ASSUME :args (_let_67)))) (let ((_let_175 (CONG (TRANS (TRANS (CONG (SYMM (SYMM _let_174)) _let_153 :args _let_140) (SYMM (SYMM _let_173)) (CONG (TRANS (TRANS (SYMM _let_172) _let_141) _let_167) (SYMM (SYMM _let_171)) :args _let_143) (SYMM _let_170) (CONG _let_144 (TRANS (SYMM _let_169) (SYMM _let_168)) :args _let_143) (SYMM _let_167)) (TRANS _let_142 _let_150 (CONG _let_159 (TRANS (CONG _let_153 (SYMM (SYMM _let_166)) :args _let_140) (SYMM (SYMM _let_165)) (CONG _let_162 _let_159 :args _let_140)) :args _let_143))) (TRANS _let_156 _let_154 (CONG _let_153 (SYMM (SYMM _let_164)) :args _let_140) (SYMM (SYMM _let_163)) (CONG _let_162 (REFL :args (_let_71)) :args _let_140)) :args _let_143))) (let ((_let_176 (ASSUME :args (_let_82)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (CONG _let_150 _let_153 :args _let_140))) (let ((_let_179 (ASSUME :args (_let_89)))) (let ((_let_180 (or))) (let ((_let_181 (not _let_57))) (let ((_let_182 (_let_181))) (let ((_let_183 (_let_58))) (let ((_let_184 (and _let_17 _let_21 _let_23 _let_25 _let_28 _let_29 _let_32 _let_33))) (let ((_let_185 (REFL :args (_let_18)))) (let ((_let_186 (ASSUME :args (_let_21)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (ASSUME :args (_let_33)))) (let ((_let_189 (ASSUME :args (_let_23)))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (ASSUME :args (_let_17)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (CONG _let_192 _let_190 :args _let_143))) (let ((_let_194 (CONG (TRANS _let_193 (TRANS (SYMM _let_188) _let_187)) _let_185 :args _let_140))) (let ((_let_195 (SYMM _let_193))) (let ((_let_196 (CONG _let_195 _let_185 :args _let_140))) (let ((_let_197 (ASSUME :args (_let_29)))) (let ((_let_198 (ASSUME :args (_let_32)))) (let ((_let_199 (ASSUME :args (_let_28)))) (let ((_let_200 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_184)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_186 _let_189 _let_191 _let_197 _let_188 _let_198 _let_199 _let_200) (SCOPE (TRANS (SYMM _let_194) (SYMM _let_196) (CONG (TRANS _let_195 (CONG (TRANS _let_192 (SYMM (SYMM _let_200))) _let_190 :args _let_143) (SYMM _let_199)) _let_185 :args _let_140) (SYMM (SYMM _let_198)) (CONG (TRANS (TRANS (CONG _let_144 _let_186 :args _let_140) (SYMM (SYMM _let_197)) (CONG _let_190 _let_192 :args _let_143)) _let_187) (TRANS _let_196 _let_194) :args _let_143)) :args (_let_21 _let_23 _let_17 _let_29 _let_33 _let_32 _let_28 _let_25))) :args (_let_17 _let_21 _let_23 _let_25 _let_28 _let_29 _let_32 _let_33))) :args (true _let_184)) :args ((or (not _let_17) (not _let_21) (not _let_23) (not _let_25) (not _let_28) (not _let_29) _let_31 (not _let_32) (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_19 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_117)) _let_118 :args (_let_33 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.one _let_26 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_115)) _let_116 :args (_let_32 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_50)) :args ((or _let_49 _let_51 (not _let_50)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_183)) :args _let_183)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_55))) (REFL :args (_let_56)) :args _let_180)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_182)) :args _let_182)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_181) _let_57))) (REFL :args ((not _let_61))) :args _let_180)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_61 (not _let_62) (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_150 _let_152 _let_155 _let_158 _let_161 _let_165 _let_166 _let_141 _let_167 _let_168 _let_169 _let_170 _let_172 _let_171 _let_173 _let_174 _let_163 _let_164 _let_176 _let_179) (SCOPE (TRANS _let_150 (SYMM _let_160) _let_161 (SYMM _let_175) _let_177 (SYMM _let_178) (SYMM (SYMM _let_179)) (CONG (REFL :args (_let_60)) (TRANS _let_178 (SYMM _let_177) _let_175 (SYMM _let_161) _let_160 _let_151) :args _let_143)) :args (_let_73 _let_75 _let_77 _let_81 _let_103 _let_101 _let_86 _let_70 _let_84 _let_97 _let_99 _let_100 _let_93 _let_95 _let_92 _let_67 _let_102 _let_88 _let_82 _let_89))) :args (_let_67 _let_70 _let_73 _let_84 _let_75 _let_77 _let_81 _let_82 _let_86 _let_88 _let_89 _let_92 _let_93 _let_95 _let_97 _let_99 _let_100 _let_101 _let_102 _let_103))) :args (true _let_149)) :args ((or (not _let_67) _let_137 (not _let_73) (not _let_75) _let_62 (not _let_77) (not _let_81) (not _let_82) (not _let_84) (not _let_86) (not _let_88) (not _let_89) (not _let_92) (not _let_93) (not _let_95) (not _let_97) (not _let_99) (not _let_100) (not _let_101) (not _let_102) (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_78 _let_79 _let_64 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45)) _let_46 :args (_let_103 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_59 tptp.zero _let_71 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) _let_114 :args (_let_102 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_59 tptp.zero _let_64 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) _let_114 :args (_let_101 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_94 _let_68 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_45)) _let_46 :args (_let_100 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args _let_121) :args _let_117)) _let_118 :args (_let_99 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_120)) :args ((or (not _let_119) _let_97 (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_124 _let_119 (not _let_125)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_138)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_139 _let_141 _let_145 _let_146 _let_148) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_122)) (CONG _let_147 _let_141 :args _let_140) :args _let_143) (SYMM _let_148) (CONG _let_147 (TRANS (SYMM (SYMM _let_146)) (CONG (SYMM _let_145) _let_144 :args _let_143) _let_142) :args _let_140)) (REFL :args (_let_68)) :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_139))) :args (_let_132 _let_70 _let_129 _let_131 _let_133))) :args (_let_70 _let_129 _let_131 _let_132 _let_133))) :args (true _let_138)) :args ((or _let_137 _let_136 (not _let_131) (not _let_132) _let_123 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68 _let_69 QUANTIFIERS_INST_CBQI_PROP)) :args _let_47)) _let_48 :args (_let_133 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_135)) :args ((or _let_136 _let_132 (not _let_135)))) _let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_68 _let_68 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_54))) _let_53 :args (_let_135 false _let_52)) :args (_let_132 false _let_129 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.one _let_68 _let_68 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_45)) _let_46 :args (_let_131 false _let_14)) _let_134 _let_107 :args (_let_123 false _let_133 false _let_132 false _let_131 false _let_129 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68 _let_68 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_126))) _let_127 :args (_let_125 false _let_126)) :args (_let_119 false _let_123 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_121) :args _let_54)) _let_53 :args (_let_120 false _let_52)) :args (_let_97 false _let_119 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113))) _let_114 :args (_let_95 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41)) _let_40 :args (_let_93 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.one _let_65 _let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_92 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_60 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_44)) _let_43 :args (_let_89 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_71 QUANTIFIERS_INST_CBQI_PROP)) :args _let_112)) _let_111 :args (_let_88 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_64 QUANTIFIERS_INST_CBQI_PROP)) :args _let_112)) _let_111 :args (_let_86 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_68 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_117)) _let_118 :args (_let_84 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_64 _let_71 _let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_82 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_76 _let_64 _let_71 QUANTIFIERS_INST_CBQI_PROP)) :args _let_47)) _let_48 :args (_let_81 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_59 tptp.zero _let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113))) _let_114 :args (_let_77 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_59 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_112)) _let_111 :args (_let_75 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args _let_106) :args _let_108)) _let_109 :args (_let_73 false _let_3)) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_106) :args (_let_104))) _let_105 :args (_let_67 false _let_104)) :args (_let_62 false _let_103 false _let_102 false _let_101 false _let_100 false _let_99 false _let_97 false _let_95 false _let_93 false _let_92 false _let_89 false _let_88 false _let_86 false _let_84 false _let_82 false _let_81 false _let_77 false _let_75 false _let_73 false _let_70 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_60 _let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_53 :args (_let_63 false _let_52)) :args (_let_61 false _let_62 false _let_63)) :args (_let_57 false _let_61)) :args (_let_58 false _let_57)) :args (_let_56 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_18 _let_30 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_53 :args (_let_50 false _let_52)) :args (_let_51 true _let_49 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.one _let_19 tptp.one QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_47)) _let_48 :args (_let_29 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_19 tptp.one tptp.one QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_45)) _let_46 :args (_let_28 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_36) :args _let_44)) _let_43 :args (_let_25 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) _let_40 :args (_let_23 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_38 :args (_let_21 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_36) :args (_let_34))) _let_35 :args (_let_17 false _let_34)) :args (false false _let_33 false _let_32 true _let_31 false _let_29 false _let_28 false _let_25 false _let_23 false _let_21 false _let_17)) :args (_let_15 _let_14 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.95/22.24 )
% 21.95/22.24 % SZS output end Proof for KLE143+2
% 21.95/22.24 % cvc5---1.0.5 exiting
% 21.95/22.24 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------