TSTP Solution File: KLE080+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE080+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 11.61s 11.80s
% Output : Proof 11.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE080+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n005.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 11:24:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 11.61/11.80 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.xx6WU0Q3sY/cvc5---1.0.5_22947.p...
% 11.61/11.80 ------- get file name : TPTP file name is KLE080+1
% 11.61/11.80 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22947.smt2...
% 11.61/11.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.61/11.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.61/11.80 % SZS status Theorem for KLE080+1
% 11.61/11.80 % SZS output start Proof for KLE080+1
% 11.61/11.80 (
% 11.61/11.80 (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.antidomain X1))) (let ((_let_2 (tptp.domain X1))) (and (= (tptp.addition _let_2 _let_1) tptp.one) (= (tptp.multiplication _let_2 _let_1) tptp.zero))))) (= (tptp.antidomain (tptp.antidomain X0)) (tptp.domain X0))))))) (let ((_let_2 (tptp.domain tptp.zero))) (let ((_let_3 (= _let_2 tptp.zero))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_6 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _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)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_14 (forall ((C $$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.zero _let_2))) (let ((_let_17 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.antidomain _let_18))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (tptp.antidomain tptp.zero))) (let ((_let_22 (= tptp.one (tptp.addition _let_2 _let_21)))) (let ((_let_23 (tptp.addition _let_17 _let_18))) (let ((_let_24 (= tptp.one _let_23))) (let ((_let_25 (tptp.multiplication _let_17 _let_18))) (let ((_let_26 (= tptp.zero _let_25))) (let ((_let_27 (= _let_18 (tptp.addition _let_18 tptp.zero)))) (let ((_let_28 (tptp.addition _let_18 _let_18))) (let ((_let_29 (= _let_18 _let_28))) (let ((_let_30 (= _let_18 (tptp.multiplication tptp.one _let_18)))) (let ((_let_31 (tptp.domain _let_18))) (let ((_let_32 (tptp.multiplication _let_31 _let_18))) (let ((_let_33 (= _let_32 (tptp.addition _let_18 _let_32)))) (let ((_let_34 (tptp.addition _let_31 tptp.one))) (let ((_let_35 (= tptp.one _let_34))) (let ((_let_36 (tptp.addition _let_31 _let_19))) (let ((_let_37 (= tptp.one _let_36))) (let ((_let_38 (tptp.multiplication _let_31 _let_19))) (let ((_let_39 (= tptp.zero _let_38))) (let ((_let_40 (= tptp.zero (tptp.multiplication tptp.zero _let_19)))) (let ((_let_41 (= _let_19 (tptp.multiplication tptp.one _let_19)))) (let ((_let_42 (= _let_17 (tptp.multiplication _let_17 tptp.one)))) (let ((_let_43 (tptp.addition _let_21 tptp.zero))) (let ((_let_44 (= (tptp.addition tptp.zero _let_21) _let_43))) (let ((_let_45 (= _let_21 _let_43))) (let ((_let_46 (tptp.domain _let_21))) (let ((_let_47 (tptp.multiplication _let_46 _let_21))) (let ((_let_48 (= _let_47 (tptp.addition _let_21 _let_47)))) (let ((_let_49 (tptp.addition _let_46 tptp.one))) (let ((_let_50 (= tptp.one _let_49))) (let ((_let_51 (tptp.multiplication _let_31 tptp.one))) (let ((_let_52 (= _let_31 _let_51))) (let ((_let_53 (= _let_46 (tptp.multiplication _let_46 tptp.one)))) (let ((_let_54 (= _let_49 (tptp.addition tptp.one _let_46)))) (let ((_let_55 (tptp.multiplication _let_17 _let_31))) (let ((_let_56 (tptp.domain _let_55))) (let ((_let_57 (= (tptp.domain _let_25) _let_56))) (let ((_let_58 (tptp.addition _let_18 _let_17))) (let ((_let_59 (= _let_23 _let_58))) (let ((_let_60 (= _let_34 (tptp.addition tptp.one _let_31)))) (let ((_let_61 (= (tptp.addition _let_17 _let_28) (tptp.addition _let_23 _let_18)))) (let ((_let_62 (tptp.domain tptp.one))) (let ((_let_63 (= (tptp.multiplication (tptp.addition _let_62 _let_31) _let_18) (tptp.addition (tptp.multiplication _let_62 _let_18) _let_32)))) (let ((_let_64 (= tptp.zero (tptp.multiplication tptp.zero _let_55)))) (let ((_let_65 (tptp.multiplication _let_18 _let_19))) (let ((_let_66 (= _let_65 (tptp.addition _let_65 tptp.zero)))) (let ((_let_67 (tptp.addition _let_18 _let_31))) (let ((_let_68 (= (tptp.addition _let_31 _let_18) _let_67))) (let ((_let_69 (= (tptp.multiplication _let_31 (tptp.addition tptp.one _let_18)) (tptp.addition _let_51 _let_32)))) (let ((_let_70 (= (tptp.multiplication _let_67 _let_19) (tptp.addition _let_65 _let_38)))) (let ((_let_71 (= _let_55 (tptp.addition _let_55 tptp.zero)))) (let ((_let_72 (tptp.multiplication _let_56 _let_55))) (let ((_let_73 (= _let_72 (tptp.addition _let_55 _let_72)))) (let ((_let_74 (tptp.multiplication _let_17 _let_19))) (let ((_let_75 (= (tptp.multiplication _let_58 _let_19) (tptp.addition _let_65 _let_74)))) (let ((_let_76 (= (tptp.multiplication _let_17 _let_36) (tptp.addition _let_55 _let_74)))) (let ((_let_77 (SYMM (ASSUME :args (_let_3))))) (let ((_let_78 (forall ((X0 $$unsorted)) (= (tptp.antidomain (tptp.antidomain X0)) (tptp.domain X0))))) (let ((_let_79 (not _let_20))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (not _let_78))) (let ((_let_82 (_let_81))) (let ((_let_83 (forall ((BOUND_VARIABLE_758 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain BOUND_VARIABLE_758) (tptp.antidomain BOUND_VARIABLE_758)))))) (let ((_let_84 (NOT_NOT_ELIM (NOT_OR_ELIM _let_80 :args (0))))) (let ((_let_85 (_let_83))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_88 (forall ((BOUND_VARIABLE_766 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.domain BOUND_VARIABLE_766) (tptp.antidomain BOUND_VARIABLE_766)))))) (let ((_let_89 (NOT_NOT_ELIM (NOT_OR_ELIM _let_80 :args (1))))) (let ((_let_90 (_let_88))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 (_let_18 QUANTIFIERS_INST_ENUM))) (let ((_let_96 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (_let_19 QUANTIFIERS_INST_ENUM))) (let ((_let_111 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 (_let_15))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 (_let_21 QUANTIFIERS_INST_ENUM))) (let ((_let_117 (_let_5))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (_let_17 _let_18 QUANTIFIERS_INST_ENUM))) (let ((_let_120 (_let_14))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (_let_8))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (_let_55 QUANTIFIERS_INST_ENUM))) (let ((_let_125 (_let_9))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (and _let_16 _let_22 _let_24 _let_26 _let_27 _let_29 _let_30 _let_33 _let_35 _let_37 _let_39 _let_40 _let_41 _let_42 _let_44 _let_45 _let_48 _let_50 _let_52 _let_53 _let_54 _let_57 _let_59 _let_60 _let_61 _let_63 _let_64 _let_66 _let_68 _let_69 _let_70 _let_71 _let_73 _let_75 _let_76))) (let ((_let_128 (ASSUME :args (_let_42)))) (let ((_let_129 (APPLY_UF tptp.multiplication))) (let ((_let_130 (ASSUME :args (_let_37)))) (let ((_let_131 (REFL :args (_let_17)))) (let ((_let_132 (ASSUME :args (_let_76)))) (let ((_let_133 (APPLY_UF tptp.addition))) (let ((_let_134 (REFL :args (_let_74)))) (let ((_let_135 (ASSUME :args (_let_71)))) (let ((_let_136 (ASSUME :args (_let_64)))) (let ((_let_137 (REFL :args (_let_55)))) (let ((_let_138 (APPLY_UF tptp.domain))) (let ((_let_139 (ASSUME :args (_let_26)))) (let ((_let_140 (ASSUME :args (_let_57)))) (let ((_let_141 (CONG (TRANS (SYMM _let_140) (CONG (SYMM _let_139) :args _let_138) (SYMM _let_77)) _let_137 :args _let_129))) (let ((_let_142 (ASSUME :args (_let_73)))) (let ((_let_143 (ASSUME :args (_let_40)))) (let ((_let_144 (ASSUME :args (_let_39)))) (let ((_let_145 (REFL :args (_let_19)))) (let ((_let_146 (ASSUME :args (_let_52)))) (let ((_let_147 (ASSUME :args (_let_24)))) (let ((_let_148 (ASSUME :args (_let_29)))) (let ((_let_149 (ASSUME :args (_let_61)))) (let ((_let_150 (REFL :args (_let_18)))) (let ((_let_151 (REFL :args (_let_31)))) (let ((_let_152 (ASSUME :args (_let_69)))) (let ((_let_153 (ASSUME :args (_let_33)))) (let ((_let_154 (ASSUME :args (_let_27)))) (let ((_let_155 (ASSUME :args (_let_30)))) (let ((_let_156 (ASSUME :args (_let_50)))) (let ((_let_157 (ASSUME :args (_let_54)))) (let ((_let_158 (ASSUME :args (_let_53)))) (let ((_let_159 (ASSUME :args (_let_22)))) (let ((_let_160 (CONG _let_77 (REFL :args (_let_21)) :args _let_133))) (let ((_let_161 (ASSUME :args (_let_44)))) (let ((_let_162 (ASSUME :args (_let_45)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (TRANS (SYMM _let_163) (SYMM _let_161) _let_160 (SYMM _let_159)))) (let ((_let_165 (CONG (REFL :args (_let_46)) _let_164 :args _let_129))) (let ((_let_166 (ASSUME :args (_let_48)))) (let ((_let_167 (TRANS (CONG (TRANS _let_159 (SYMM _let_160)) :args _let_138) (CONG (TRANS _let_161 _let_163) :args _let_138) _let_158 (SYMM _let_165) (SYMM (SYMM _let_166)) (CONG _let_164 (TRANS _let_165 (SYMM _let_158)) :args _let_133) (SYMM _let_157) (SYMM _let_156)))) (let ((_let_168 (ASSUME :args (_let_63)))) (let ((_let_169 (ASSUME :args (_let_60)))) (let ((_let_170 (ASSUME :args (_let_35)))) (let ((_let_171 (ASSUME :args (_let_68)))) (let ((_let_172 (ASSUME :args (_let_70)))) (let ((_let_173 (ASSUME :args (_let_66)))) (let ((_let_174 (ASSUME :args (_let_75)))) (let ((_let_175 (ASSUME :args (_let_59)))) (let ((_let_176 (ASSUME :args (_let_41)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_130 _let_132 _let_135 _let_136 _let_77 _let_139 _let_140 _let_142 _let_143 _let_144 _let_146 _let_147 _let_148 _let_149 _let_152 _let_153 _let_154 _let_155 _let_156 _let_157 _let_159 _let_161 _let_162 _let_158 _let_166 _let_168 _let_169 _let_170 _let_171 _let_172 _let_173 _let_174 _let_175 _let_176) (SCOPE (TRANS (SYMM (SYMM _let_176)) (CONG (TRANS _let_147 (SYMM (SYMM _let_175))) _let_145 :args _let_129) (SYMM (SYMM _let_174)) (CONG (TRANS (TRANS (SYMM (SYMM _let_173)) (CONG (REFL :args (_let_65)) _let_144 :args _let_133) (SYMM _let_172) (CONG (TRANS (SYMM _let_171) (CONG _let_146 (TRANS _let_155 (CONG (TRANS (SYMM (SYMM _let_170)) (SYMM (SYMM _let_169)) (CONG (SYMM _let_167) _let_151 :args _let_133)) _let_150 :args _let_129) (SYMM (SYMM _let_168)) (CONG (TRANS (TRANS (CONG _let_167 _let_150 :args _let_129) (SYMM _let_155) _let_154) (SYMM _let_154)) (REFL :args (_let_32)) :args _let_133) (SYMM _let_153)) :args _let_133) (SYMM _let_152) (CONG _let_151 (TRANS (CONG _let_147 _let_150 :args _let_133) (SYMM _let_149) (CONG _let_131 (SYMM _let_148) :args _let_133) (SYMM _let_147)) :args _let_129) (SYMM _let_146)) _let_145 :args _let_129) (SYMM _let_144)) _let_143) _let_134 :args _let_133) (CONG (TRANS (SYMM _let_143) (TRANS _let_136 (SYMM _let_141) (SYMM (SYMM _let_142)) (CONG _let_137 (TRANS _let_141 (SYMM _let_136)) :args _let_133) (SYMM _let_135))) _let_134 :args _let_133) (SYMM _let_132) (CONG _let_131 (SYMM _let_130) :args _let_129) (SYMM _let_128)) :args (_let_42 _let_37 _let_76 _let_71 _let_64 _let_16 _let_26 _let_57 _let_73 _let_40 _let_39 _let_52 _let_24 _let_29 _let_61 _let_69 _let_33 _let_27 _let_30 _let_50 _let_54 _let_22 _let_44 _let_45 _let_53 _let_48 _let_63 _let_60 _let_35 _let_68 _let_70 _let_66 _let_75 _let_59 _let_41))) :args (_let_16 _let_22 _let_24 _let_26 _let_27 _let_29 _let_30 _let_33 _let_35 _let_37 _let_39 _let_40 _let_41 _let_42 _let_44 _let_45 _let_48 _let_50 _let_52 _let_53 _let_54 _let_57 _let_59 _let_60 _let_61 _let_63 _let_64 _let_66 _let_68 _let_69 _let_70 _let_71 _let_73 _let_75 _let_76))) :args (true _let_127)) :args ((or (not _let_16) _let_20 (not _let_22) (not _let_24) (not _let_26) (not _let_27) (not _let_29) (not _let_30) (not _let_33) (not _let_35) (not _let_37) (not _let_39) (not _let_40) (not _let_41) (not _let_42) (not _let_44) (not _let_45) (not _let_48) (not _let_50) (not _let_52) (not _let_53) (not _let_54) (not _let_57) (not _let_59) (not _let_60) (not _let_61) (not _let_63) (not _let_64) (not _let_66) (not _let_68) (not _let_69) (not _let_70) (not _let_71) (not _let_73) (not _let_75) (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_17 _let_31 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_125)) _let_126 :args (_let_76 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_18 _let_17 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_122)) _let_123 :args (_let_75 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_55 QUANTIFIERS_INST_CBQI_PROP)) :args _let_103)) _let_102 :args (_let_73 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args _let_124) :args _let_94)) _let_93 :args (_let_71 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_18 _let_31 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_122)) _let_123 :args (_let_70 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_31 tptp.one _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_125)) _let_126 :args (_let_69 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_18 _let_31 QUANTIFIERS_INST_ENUM)) :args _let_114))) _let_115 :args (_let_68 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_65 QUANTIFIERS_INST_ENUM)) :args _let_94)) _let_93 :args (_let_66 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_124) :args _let_109)) _let_108 :args (_let_64 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_62 _let_31 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_122)) _let_123 :args (_let_63 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_18 _let_18 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_121 :args (_let_61 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_31 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_114)) _let_115 :args (_let_60 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args _let_119) :args _let_114)) _let_115 :args (_let_59 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args _let_119) :args _let_117)) _let_118 :args (_let_57 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_46 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_114)) _let_115 :args (_let_54 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) _let_112 :args (_let_53 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) _let_112 :args (_let_52 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_116) :args _let_106)) _let_105 :args (_let_50 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_116) :args _let_103)) _let_102 :args (_let_48 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args _let_116) :args _let_94)) _let_93 :args (_let_45 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.zero _let_21 QUANTIFIERS_INST_ENUM)) :args _let_114)) _let_115 :args (_let_44 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_17 QUANTIFIERS_INST_ENUM)) :args _let_113)) _let_112 :args (_let_42 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args _let_110) :args _let_100)) _let_99 :args (_let_41 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_110) :args _let_109)) _let_108 :args (_let_40 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_95) :args _let_90)) _let_89 :args (_let_39 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_95) :args _let_85)) _let_84 :args (_let_37 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_95) :args _let_106)) _let_105 :args (_let_35 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_95) :args _let_103)) _let_102 :args (_let_33 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args _let_95) :args _let_100)) _let_99 :args (_let_30 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_95) :args (_let_96))) _let_97 :args (_let_29 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args _let_95) :args _let_94)) _let_93 :args (_let_27 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_87) :args _let_90)) _let_89 :args (_let_26 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_87) :args _let_85)) _let_84 :args (_let_24 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_85)) _let_84 :args (_let_22 false _let_83)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_78))) (REFL :args (_let_79)) :args (or))) (NOT_OR_ELIM _let_80 :args (2)) :args (_let_79 true _let_78)) _let_77 :args (false false _let_76 false _let_75 false _let_73 false _let_71 false _let_70 false _let_69 false _let_68 false _let_66 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_57 false _let_54 false _let_53 false _let_52 false _let_50 false _let_48 false _let_45 false _let_44 false _let_42 false _let_41 false _let_40 false _let_39 false _let_37 false _let_35 false _let_33 false _let_30 false _let_29 false _let_27 false _let_26 false _let_24 false _let_22 true _let_20 false _let_16)) :args (_let_15 _let_14 _let_13 _let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.61/11.81 )
% 11.61/11.81 % SZS output end Proof for KLE080+1
% 11.61/11.81 % cvc5---1.0.5 exiting
% 11.61/11.81 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------