TSTP Solution File: KLE082+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE082+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 05:27:12 EDT 2023
% Result : Theorem 15.39s 15.65s
% Output : Proof 15.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE082+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n018.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 12:34:48 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 15.39/15.65 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Bl1dkEGJ2i/cvc5---1.0.5_5555.p...
% 15.39/15.65 ------- get file name : TPTP file name is KLE082+1
% 15.39/15.65 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5555.smt2...
% 15.39/15.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 15.39/15.65 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.39/15.65 % SZS status Theorem for KLE082+1
% 15.39/15.65 % SZS output start Proof for KLE082+1
% 15.39/15.65 (
% 15.39/15.65 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.domain X1))))) (=> (forall ((X2 $$unsorted)) (let ((_let_1 (tptp.antidomain X2))) (let ((_let_2 (tptp.domain X2))) (and (= (tptp.addition _let_2 _let_1) tptp.one) (= (tptp.multiplication _let_2 _let_1) tptp.zero))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))))) (let ((_let_3 (tptp.domain tptp.zero))) (let ((_let_4 (= _let_3 tptp.zero))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_7 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_15 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_17 (= tptp.zero _let_3))) (let ((_let_18 (tptp.antidomain tptp.zero))) (let ((_let_19 (= tptp.one (tptp.addition _let_3 _let_18)))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_21 (tptp.antidomain _let_20))) (let ((_let_22 (tptp.domain _let_20))) (let ((_let_23 (tptp.addition _let_22 _let_21))) (let ((_let_24 (= tptp.one _let_23))) (let ((_let_25 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (tptp.antidomain _let_25))) (let ((_let_27 (tptp.addition _let_26 _let_26))) (let ((_let_28 (= _let_26 _let_27))) (let ((_let_29 (tptp.domain _let_25))) (let ((_let_30 (= tptp.one (tptp.addition _let_29 tptp.one)))) (let ((_let_31 (tptp.addition _let_29 _let_26))) (let ((_let_32 (= tptp.one _let_31))) (let ((_let_33 (= _let_22 _let_29))) (let ((_let_34 (= _let_18 (tptp.addition _let_18 _let_18)))) (let ((_let_35 (tptp.addition _let_18 tptp.zero))) (let ((_let_36 (= (tptp.addition tptp.zero _let_18) _let_35))) (let ((_let_37 (= _let_18 _let_35))) (let ((_let_38 (tptp.domain _let_18))) (let ((_let_39 (tptp.multiplication _let_38 _let_18))) (let ((_let_40 (= _let_39 (tptp.addition _let_18 _let_39)))) (let ((_let_41 (tptp.addition _let_38 tptp.one))) (let ((_let_42 (= tptp.one _let_41))) (let ((_let_43 (= _let_38 (tptp.multiplication _let_38 tptp.one)))) (let ((_let_44 (= _let_41 (tptp.addition tptp.one _let_38)))) (let ((_let_45 (tptp.addition _let_25 tptp.one))) (let ((_let_46 (tptp.addition tptp.one _let_25))) (let ((_let_47 (= _let_46 _let_45))) (let ((_let_48 (tptp.domain tptp.one))) (let ((_let_49 (= (tptp.domain _let_46) (tptp.addition _let_48 _let_29)))) (let ((_let_50 (= (tptp.addition _let_29 _let_27) (tptp.addition _let_31 _let_26)))) (let ((_let_51 (tptp.addition _let_21 _let_26))) (let ((_let_52 (tptp.addition _let_26 _let_21))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (tptp.addition _let_51 tptp.one))) (let ((_let_55 (= _let_54 (tptp.addition tptp.one _let_51)))) (let ((_let_56 (= (tptp.addition tptp.one _let_52) (tptp.addition (tptp.addition tptp.one _let_26) _let_21)))) (let ((_let_57 (= (tptp.domain _let_45) (tptp.addition _let_29 _let_48)))) (let ((_let_58 (= tptp.one _let_54))) (let ((_let_59 (= (tptp.addition _let_18 _let_23) (tptp.addition (tptp.addition _let_18 _let_22) _let_21)))) (let ((_let_60 (SYMM (ASSUME :args (_let_4))))) (let ((_let_61 (forall ((BOUND_VARIABLE_762 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain BOUND_VARIABLE_762) (tptp.antidomain BOUND_VARIABLE_762)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (NOT_NOT_ELIM (NOT_OR_ELIM _let_62 :args (0))))) (let ((_let_64 (_let_61))) (let ((_let_65 (tptp.zero QUANTIFIERS_INST_ENUM))) (let ((_let_66 (ASSUME :args _let_64))) (let ((_let_67 (_let_20 QUANTIFIERS_INST_ENUM))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_67) :args _let_64)) _let_63 :args (_let_24 false _let_61)))) (let ((_let_69 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 (_let_25 QUANTIFIERS_INST_ENUM))) (let ((_let_76 (_let_6))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_76))) _let_77 :args (_let_33 false _let_6)))) (let ((_let_79 (_let_18 QUANTIFIERS_INST_ENUM))) (let ((_let_80 (_let_16))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_82))) (let ((_let_85 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 (tptp.one _let_25 QUANTIFIERS_INST_ENUM))) (let ((_let_91 (_let_2))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (_let_15))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_26 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_80)) _let_81 :args (_let_53 false _let_16)))) (let ((_let_96 (tptp.multiplication _let_22 _let_21))) (let ((_let_97 (tptp.multiplication _let_22 _let_51))) (let ((_let_98 (= _let_97 (tptp.addition _let_96 (tptp.multiplication _let_22 _let_26))))) (let ((_let_99 (tptp.multiplication _let_21 _let_51))) (let ((_let_100 (= (tptp.multiplication _let_23 _let_51) (tptp.addition _let_97 _let_99)))) (let ((_let_101 (tptp.multiplication _let_21 tptp.one))) (let ((_let_102 (= (tptp.multiplication _let_21 _let_54) (tptp.addition _let_99 _let_101)))) (let ((_let_103 (tptp.multiplication tptp.zero _let_51))) (let ((_let_104 (tptp.addition tptp.zero _let_21))) (let ((_let_105 (= (tptp.multiplication _let_104 _let_51) (tptp.addition _let_103 _let_99)))) (let ((_let_106 (tptp.addition _let_21 _let_21))) (let ((_let_107 (= (tptp.addition _let_26 _let_106) (tptp.addition _let_52 _let_21)))) (let ((_let_108 (= tptp.zero _let_103))) (let ((_let_109 (= _let_51 (tptp.multiplication tptp.one _let_51)))) (let ((_let_110 (= tptp.zero (tptp.multiplication _let_29 _let_26)))) (let ((_let_111 (= _let_21 _let_101))) (let ((_let_112 (tptp.addition _let_21 tptp.zero))) (let ((_let_113 (= _let_21 _let_112))) (let ((_let_114 (= _let_104 _let_112))) (let ((_let_115 (= _let_21 _let_106))) (let ((_let_116 (= tptp.zero _let_96))) (let ((_let_117 (= tptp.zero (tptp.addition tptp.zero tptp.zero)))) (let ((_let_118 (= _let_21 _let_52))) (let ((_let_119 (not _let_58))) (let ((_let_120 (_let_10))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (_let_9))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_51 QUANTIFIERS_INST_ENUM))) (let ((_let_127 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (forall ((BOUND_VARIABLE_770 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.domain BOUND_VARIABLE_770) (tptp.antidomain BOUND_VARIABLE_770)))))) (let ((_let_130 (NOT_NOT_ELIM (NOT_OR_ELIM _let_62 :args (1))))) (let ((_let_131 (_let_129))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (_let_21 QUANTIFIERS_INST_ENUM))) (let ((_let_134 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.domain X1))))) (= _let_1 (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1)))))) (let ((_let_135 (not _let_118))) (let ((_let_136 (or))) (let ((_let_137 (not _let_134))) (let ((_let_138 (_let_137))) (let ((_let_139 (not _let_53))) (let ((_let_140 (not _let_33))) (let ((_let_141 (not _let_24))) (let ((_let_142 (and _let_117 _let_24 _let_116 _let_115 _let_114 _let_113 _let_111 _let_110 _let_33 _let_53 _let_109 _let_108 _let_58 _let_107 _let_105 _let_102 _let_100 _let_98))) (let ((_let_143 (APPLY_UF tptp.addition))) (let ((_let_144 (ASSUME :args (_let_115)))) (let ((_let_145 (REFL :args (_let_26)))) (let ((_let_146 (ASSUME :args (_let_107)))) (let ((_let_147 (REFL :args (_let_21)))) (let ((_let_148 (ASSUME :args (_let_53)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (ASSUME :args (_let_111)))) (let ((_let_151 (ASSUME :args (_let_109)))) (let ((_let_152 (APPLY_UF tptp.multiplication))) (let ((_let_153 (REFL :args (_let_51)))) (let ((_let_154 (ASSUME :args (_let_24)))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (ASSUME :args (_let_100)))) (let ((_let_157 (ASSUME :args (_let_98)))) (let ((_let_158 (ASSUME :args (_let_33)))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (ASSUME :args (_let_110)))) (let ((_let_161 (ASSUME :args (_let_116)))) (let ((_let_162 (ASSUME :args (_let_117)))) (let ((_let_163 (ASSUME :args (_let_108)))) (let ((_let_164 (ASSUME :args (_let_105)))) (let ((_let_165 (ASSUME :args (_let_114)))) (let ((_let_166 (ASSUME :args (_let_113)))) (let ((_let_167 (ASSUME :args (_let_102)))) (let ((_let_168 (ASSUME :args (_let_58)))) (let ((_let_169 (not _let_59))) (let ((_let_170 (_let_169))) (let ((_let_171 (ASSUME :args (_let_59)))) (let ((_let_172 (ASSUME :args (_let_119)))) (let ((_let_173 (ASSUME :args (_let_55)))) (let ((_let_174 (ASSUME :args (_let_56)))) (let ((_let_175 (ASSUME :args (_let_32)))) (let ((_let_176 (ASSUME :args (_let_50)))) (let ((_let_177 (ASSUME :args (_let_28)))) (let ((_let_178 (REFL :args (_let_29)))) (let ((_let_179 (ASSUME :args (_let_30)))) (let ((_let_180 (ASSUME :args (_let_42)))) (let ((_let_181 (ASSUME :args (_let_44)))) (let ((_let_182 (ASSUME :args (_let_43)))) (let ((_let_183 (ASSUME :args (_let_37)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_36)))) (let ((_let_186 (REFL :args (_let_18)))) (let ((_let_187 (CONG (SYMM (SYMM _let_60)) _let_186 :args _let_143))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (ASSUME :args (_let_19)))) (let ((_let_190 (SYMM (TRANS _let_189 _let_188 _let_185 _let_184)))) (let ((_let_191 (CONG (REFL :args (_let_38)) _let_190 :args _let_152))) (let ((_let_192 (ASSUME :args (_let_40)))) (let ((_let_193 (APPLY_UF tptp.domain))) (let ((_let_194 (TRANS (CONG (TRANS _let_189 _let_188) :args _let_193) (CONG (TRANS _let_185 _let_184) :args _let_193) _let_182 (SYMM _let_191) (SYMM (SYMM _let_192)) (CONG _let_190 (TRANS _let_191 (SYMM _let_182)) :args _let_143) (SYMM _let_181) (SYMM _let_180)))) (let ((_let_195 (ASSUME :args (_let_57)))) (let ((_let_196 (ASSUME :args (_let_47)))) (let ((_let_197 (ASSUME :args (_let_49)))) (let ((_let_198 (ASSUME :args (_let_34)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_171 (MODUS_PONENS (AND_INTRO _let_189 _let_60 _let_185 _let_183 _let_198 _let_154 _let_172 _let_173 _let_148 _let_174 _let_175 _let_176 _let_158 _let_177 _let_179 _let_180 _let_181 _let_182 _let_192 _let_195 _let_196 _let_197) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_186 (TRANS _let_155 _let_189 _let_188 _let_185 _let_184) :args _let_143) (SYMM _let_198) (SYMM _let_184) (SYMM _let_185) _let_187 (SYMM _let_189)) (TRANS (CONG (TRANS (CONG (TRANS _let_190 (SYMM _let_194)) (SYMM _let_159) :args _let_143) (SYMM _let_197) (CONG (SYMM (SYMM _let_196)) :args _let_193) (SYMM (SYMM _let_195)) (CONG _let_178 _let_194 :args _let_143) (SYMM _let_179)) _let_147 :args _let_143) (CONG (TRANS _let_175 (CONG _let_178 (SYMM (SYMM _let_177)) :args _let_143) (SYMM (SYMM _let_176)) (CONG (SYMM _let_175) _let_145 :args _let_143)) _let_147 :args _let_143) (SYMM _let_174) (CONG (REFL :args (tptp.one)) (SYMM _let_149) :args _let_143) (SYMM _let_173)) :args (=)) (FALSE_INTRO _let_172))) :args (_let_19 _let_17 _let_36 _let_37 _let_34 _let_24 _let_119 _let_55 _let_53 _let_56 _let_32 _let_50 _let_33 _let_28 _let_30 _let_42 _let_44 _let_43 _let_40 _let_57 _let_47 _let_49)))) :args (_let_17 _let_19 _let_24 _let_28 _let_30 _let_32 _let_33 _let_34 _let_36 _let_37 _let_40 _let_42 _let_43 _let_44 _let_47 _let_49 _let_50 _let_53 _let_55 _let_56 _let_119 _let_57 _let_59)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_170))) (TRUE_INTRO (SYMM (SYMM _let_171))))) :args (_let_59 _let_169)) :args ((not (and _let_17 _let_19 _let_24 _let_28 _let_30 _let_32 _let_33 _let_34 _let_36 _let_37 _let_40 _let_42 _let_43 _let_44 _let_47 _let_49 _let_50 _let_53 _let_55 _let_56 _let_119 _let_57 _let_59)) SB_LITERAL))) (CONG (REFL :args ((not _let_17))) (REFL :args ((not _let_19))) (REFL :args (_let_141)) (REFL :args ((not _let_28))) (REFL :args ((not _let_30))) (REFL :args ((not _let_32))) (REFL :args (_let_140)) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_37))) (REFL :args ((not _let_40))) (REFL :args ((not _let_42))) (REFL :args ((not _let_43))) (REFL :args ((not _let_44))) (REFL :args ((not _let_47))) (REFL :args ((not _let_49))) (REFL :args ((not _let_50))) (REFL :args (_let_139)) (REFL :args ((not _let_55))) (REFL :args ((not _let_56))) (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_58))) (REFL :args ((not _let_57))) (REFL :args _let_170) :args _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_21 _let_22 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_94 :args (_let_59 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_142)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_157 _let_156 _let_161 _let_167 _let_144 _let_162 _let_158 _let_150 _let_151 _let_154 _let_166 _let_160 _let_164 _let_168 _let_148 _let_163 _let_165 _let_146) (SCOPE (TRANS _let_150 (CONG _let_147 (SYMM (SYMM _let_168)) :args _let_152) (SYMM (SYMM _let_167)) (CONG (TRANS (CONG (TRANS (SYMM (SYMM _let_166)) (SYMM _let_165)) _let_153 :args _let_152) (SYMM (SYMM _let_164)) (CONG (TRANS (SYMM _let_163) (TRANS (SYMM (SYMM _let_162)) (CONG (SYMM (SYMM _let_161)) (TRANS (SYMM (SYMM _let_160)) (CONG _let_159 _let_145 :args _let_152)) :args _let_143) (SYMM _let_157))) (REFL :args (_let_99)) :args _let_143) (SYMM _let_156) (CONG _let_155 _let_153 :args _let_152) (SYMM _let_151)) (SYMM _let_150) :args _let_143) (CONG _let_149 _let_147 :args _let_143) (SYMM _let_146) (CONG _let_145 (SYMM _let_144) :args _let_143)) :args (_let_98 _let_100 _let_116 _let_102 _let_115 _let_117 _let_33 _let_111 _let_109 _let_24 _let_113 _let_110 _let_105 _let_58 _let_53 _let_108 _let_114 _let_107))) :args (_let_117 _let_24 _let_116 _let_115 _let_114 _let_113 _let_111 _let_110 _let_33 _let_53 _let_109 _let_108 _let_58 _let_107 _let_105 _let_102 _let_100 _let_98))) :args (true _let_142)) :args ((or _let_118 (not _let_117) _let_141 (not _let_116) (not _let_115) (not _let_114) (not _let_113) (not _let_111) (not _let_110) _let_140 _let_139 (not _let_109) (not _let_108) _let_119 (not _let_107) (not _let_105) (not _let_102) (not _let_100) (not _let_98)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_138)) :args _let_138)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_134))) (REFL :args (_let_135)) :args _let_136)) (NOT_OR_ELIM _let_62 :args (2)) :args (_let_135 true _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_65) :args _let_84)) _let_83 :args (_let_117 false _let_82)) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_67) :args _let_131)) _let_130 :args (_let_116 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args _let_133) :args _let_71)) _let_70 :args (_let_115 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.zero _let_21 QUANTIFIERS_INST_ENUM)) :args _let_80)) _let_81 :args (_let_114 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_133) :args _let_84)) _let_83 :args (_let_113 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_133) :args _let_89)) _let_88 :args (_let_111 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_75) :args _let_131)) _let_130 :args (_let_110 false _let_129)) _let_78 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args _let_126) :args (_let_127))) _let_128 :args (_let_109 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_126) :args (_let_124))) _let_125 :args (_let_108 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_21 _let_21 _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_107 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.zero _let_21 _let_51 QUANTIFIERS_INST_ENUM)) :args _let_122)) _let_123 :args (_let_105 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_21 _let_51 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_121 :args (_let_102 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_22 _let_21 _let_51 QUANTIFIERS_INST_CBQI_PROP)) :args _let_122)) _let_123 :args (_let_100 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_22 _let_21 _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_121 :args (_let_98 false _let_10)) :args (_let_119 true _let_118 false _let_117 false _let_24 false _let_116 false _let_115 false _let_114 false _let_113 false _let_111 false _let_110 false _let_33 false _let_53 false _let_109 false _let_108 false _let_107 false _let_105 false _let_102 false _let_100 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_25 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_91)) _let_92 :args (_let_57 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_21 _let_26 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_56 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_51 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_80)) _let_81 :args (_let_55 false _let_16)) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_26 _let_26 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_50 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_90) :args _let_91)) _let_92 :args (_let_49 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_90) :args _let_80)) _let_81 :args (_let_47 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_38 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_80)) _let_81 :args (_let_44 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_38 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89)) _let_88 :args (_let_43 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_79) :args _let_74)) _let_73 :args (_let_42 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_79) :args (_let_85))) _let_86 :args (_let_40 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_79) :args _let_84)) _let_83 :args (_let_37 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.zero _let_18 QUANTIFIERS_INST_ENUM)) :args _let_80)) _let_81 :args (_let_36 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args _let_79) :args _let_71)) _let_70 :args (_let_34 false _let_69)) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_75) :args _let_64)) _let_63 :args (_let_32 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_75) :args _let_74)) _let_73 :args (_let_30 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_26 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_70 :args (_let_28 false _let_69)) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_65) :args _let_64)) _let_63 :args (_let_19 false _let_61)) _let_60 :args (false false _let_59 true _let_58 false _let_57 false _let_56 false _let_55 false _let_53 false _let_50 false _let_49 false _let_47 false _let_44 false _let_43 false _let_42 false _let_40 false _let_37 false _let_36 false _let_34 false _let_33 false _let_32 false _let_30 false _let_28 false _let_24 false _let_19 false _let_17)) :args (_let_16 _let_15 _let_14 _let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_7 _let_6 _let_5 _let_4 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.39/15.65 )
% 15.39/15.65 % SZS output end Proof for KLE082+1
% 15.39/15.66 % cvc5---1.0.5 exiting
% 15.39/15.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------