TSTP Solution File: KLE041+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE041+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 05:27:02 EDT 2023
% Result : Theorem 2.39s 2.57s
% Output : Proof 2.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KLE041+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 12:28:20 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.53 %----Proving TF0_NAR, FOF, or CNF
% 2.39/2.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9AFN95CHec/cvc5---1.0.5_3903.p...
% 2.39/2.57 ------- get file name : TPTP file name is KLE041+1
% 2.39/2.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3903.smt2...
% 2.39/2.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.39/2.57 % SZS status Theorem for KLE041+1
% 2.39/2.57 % SZS output start Proof for KLE041+1
% 2.39/2.57 (
% 2.39/2.57 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.leq X0 X1) (tptp.leq (tptp.star X0) (tptp.star X1))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_11 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11))) (let ((_let_13 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_15 (tptp.addition _let_14 tptp.one))) (let ((_let_16 (tptp.addition tptp.one _let_14))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.addition _let_18 tptp.one))) (let ((_let_20 (tptp.addition tptp.one _let_18))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_23 (tptp.addition _let_22 _let_14))) (let ((_let_24 (= (tptp.multiplication _let_11 _let_13) _let_23))) (let ((_let_25 (= _let_13 (tptp.addition _let_16 _let_13)))) (let ((_let_26 (tptp.addition _let_20 _let_13))) (let ((_let_27 (= _let_13 _let_26))) (let ((_let_28 (tptp.addition _let_20 _let_20))) (let ((_let_29 (= (tptp.addition _let_20 _let_26) (tptp.addition _let_28 _let_13)))) (let ((_let_30 (tptp.addition _let_22 _let_15))) (let ((_let_31 (= _let_30 (tptp.addition _let_23 tptp.one)))) (let ((_let_32 (tptp.addition _let_18 _let_13))) (let ((_let_33 (tptp.addition tptp.one _let_32))) (let ((_let_34 (= _let_26 _let_33))) (let ((_let_35 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (tptp.addition _let_35 _let_18))) (let ((_let_37 (= (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_36))) (let ((_let_38 (tptp.addition _let_19 _let_32))) (let ((_let_39 (= (tptp.addition _let_18 _let_33) _let_38))) (let ((_let_40 (tptp.addition _let_28 tptp.one))) (let ((_let_41 (tptp.addition _let_40 _let_32))) (let ((_let_42 (= (tptp.addition _let_28 _let_33) _let_41))) (let ((_let_43 (= (tptp.addition _let_22 (tptp.addition _let_15 _let_13)) (tptp.addition _let_30 _let_13)))) (let ((_let_44 (tptp.addition _let_35 _let_32))) (let ((_let_45 (= _let_44 (tptp.addition _let_36 _let_13)))) (let ((_let_46 (tptp.addition _let_18 _let_20))) (let ((_let_47 (tptp.addition tptp.one _let_46))) (let ((_let_48 (= _let_28 _let_47))) (let ((_let_49 (= _let_20 _let_28))) (let ((_let_50 (= _let_13 (tptp.multiplication _let_13 tptp.one)))) (let ((_let_51 (tptp.multiplication _let_32 tptp.one))) (let ((_let_52 (tptp.multiplication tptp.one tptp.one))) (let ((_let_53 (tptp.addition _let_52 _let_51))) (let ((_let_54 (= (tptp.multiplication _let_33 tptp.one) _let_53))) (let ((_let_55 (tptp.addition _let_46 tptp.one))) (let ((_let_56 (= _let_47 _let_55))) (let ((_let_57 (= _let_40 (tptp.addition tptp.one _let_28)))) (let ((_let_58 (= _let_38 (tptp.addition _let_32 _let_19)))) (let ((_let_59 (= _let_41 (tptp.addition _let_32 _let_40)))) (let ((_let_60 (tptp.addition _let_22 _let_52))) (let ((_let_61 (= (tptp.addition _let_22 _let_53) (tptp.addition _let_60 _let_51)))) (let ((_let_62 (tptp.addition _let_46 _let_20))) (let ((_let_63 (= (tptp.addition tptp.one _let_62) (tptp.addition _let_47 _let_20)))) (let ((_let_64 (tptp.addition _let_18 _let_18))) (let ((_let_65 (= _let_18 _let_64))) (let ((_let_66 (= tptp.one _let_52))) (let ((_let_67 (= _let_32 _let_51))) (let ((_let_68 (= (tptp.multiplication _let_44 tptp.one) (tptp.addition (tptp.multiplication _let_35 tptp.one) _let_51)))) (let ((_let_69 (tptp.addition _let_22 tptp.one))) (let ((_let_70 (= _let_13 (tptp.addition _let_69 _let_13)))) (let ((_let_71 (= _let_62 (tptp.addition _let_20 _let_46)))) (let ((_let_72 (= _let_62 (tptp.addition _let_55 _let_18)))) (let ((_let_73 (= (tptp.addition _let_20 _let_18) (tptp.addition tptp.one _let_64)))) (let ((_let_74 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_75 (= _let_74 _let_12))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.leq A B)))) (let ((_let_80 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (tptp.leq _let_80 _let_13))) (let ((_let_82 (not _let_74))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.leq X0 X1)) (tptp.leq (tptp.star X0) (tptp.star X1)))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (or))) (let ((_let_88 (not _let_84))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_86) :args (_let_88))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_84))) (REFL :args (_let_85)) :args _let_87)) _let_86 :args (_let_85 true _let_84)))) (let ((_let_90 (_let_10))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((tptp.addition A B)))) (let ((_let_93 (_let_6))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_96 (tptp.leq _let_16 _let_13))) (let ((_let_97 (= _let_96 _let_25))) (let ((_let_98 (_let_4))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (tptp.leq _let_20 _let_13))) (let ((_let_101 (= _let_100 _let_27))) (let ((_let_102 (_let_3))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (_let_9))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((tptp.addition A (tptp.addition B C))))) (let ((_let_107 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_108 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 ((tptp.addition A A)))) (let ((_let_112 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 ((tptp.multiplication A tptp.one)))) (let ((_let_116 (tptp.leq _let_69 _let_13))) (let ((_let_117 (= _let_116 _let_70))) (let ((_let_118 (not _let_70))) (let ((_let_119 (tptp.multiplication _let_80 tptp.one))) (let ((_let_120 (tptp.leq _let_119 _let_13))) (let ((_let_121 (not _let_116))) (let ((_let_122 (or _let_121 _let_120))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) B)) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (= _let_80 _let_119))) (let ((_let_126 (not _let_120))) (let ((_let_127 (not _let_81))) (let ((_let_128 (and _let_127 _let_125))) (let ((_let_129 (_let_127 _let_125))) (let ((_let_130 (ASSUME :args (_let_127)))) (let ((_let_131 (REFL :args (_let_13)))) (let ((_let_132 (ASSUME :args (_let_125)))) (let ((_let_133 (and _let_12 _let_17 _let_21 _let_24 _let_25 _let_27 _let_29 _let_31 _let_34 _let_37 _let_39 _let_42 _let_43 _let_45 _let_48 _let_49 _let_50 _let_54 _let_56 _let_57 _let_58 _let_59 _let_61 _let_63 _let_65 _let_66 _let_67 _let_68 _let_71 _let_72 _let_73))) (let ((_let_134 (APPLY_UF tptp.addition))) (let ((_let_135 (ASSUME :args (_let_27)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (REFL :args (_let_20)))) (let ((_let_138 (ASSUME :args (_let_29)))) (let ((_let_139 (ASSUME :args (_let_34)))) (let ((_let_140 (TRANS (SYMM _let_139) _let_136))) (let ((_let_141 (ASSUME :args (_let_42)))) (let ((_let_142 (ASSUME :args (_let_59)))) (let ((_let_143 (ASSUME :args (_let_67)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (ASSUME :args (_let_57)))) (let ((_let_146 (ASSUME :args (_let_49)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (ASSUME :args (_let_21)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (REFL :args (tptp.one)))) (let ((_let_152 (ASSUME :args (_let_65)))) (let ((_let_153 (ASSUME :args (_let_73)))) (let ((_let_154 (REFL :args (_let_18)))) (let ((_let_155 (ASSUME :args (_let_48)))) (let ((_let_156 (ASSUME :args (_let_56)))) (let ((_let_157 (ASSUME :args (_let_72)))) (let ((_let_158 (ASSUME :args (_let_71)))) (let ((_let_159 (CONG _let_150 (REFL :args (_let_46)) :args _let_134))) (let ((_let_160 (ASSUME :args (_let_63)))) (let ((_let_161 (ASSUME :args (_let_58)))) (let ((_let_162 (ASSUME :args (_let_39)))) (let ((_let_163 (SYMM _let_140))) (let ((_let_164 (APPLY_UF tptp.multiplication))) (let ((_let_165 (ASSUME :args (_let_37)))) (let ((_let_166 (ASSUME :args (_let_45)))) (let ((_let_167 (CONG (TRANS (SYMM (SYMM _let_166)) (CONG (TRANS (SYMM _let_165) (CONG _let_136 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_164)) _let_131 :args _let_134)) _let_151 :args _let_164))) (let ((_let_168 (ASSUME :args (_let_68)))) (let ((_let_169 (ASSUME :args (_let_66)))) (let ((_let_170 (REFL :args (_let_22)))) (let ((_let_171 (ASSUME :args (_let_61)))) (let ((_let_172 (ASSUME :args (_let_54)))) (let ((_let_173 (ASSUME :args (_let_50)))) (let ((_let_174 (ASSUME :args (_let_25)))) (let ((_let_175 (ASSUME :args (_let_17)))) (let ((_let_176 (ASSUME :args (_let_43)))) (let ((_let_177 (ASSUME :args (_let_31)))) (let ((_let_178 (ASSUME :args (_let_24)))) (let ((_let_179 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_179 _let_156 _let_138 _let_169 _let_155 _let_176 _let_141 _let_165 _let_171 _let_145 _let_161 _let_178 _let_160 _let_135 _let_175 _let_173 _let_152 _let_143 _let_174 _let_166 _let_168 _let_146 _let_158 _let_172 _let_153 _let_177 _let_149 _let_142 _let_157 _let_139 _let_162) (SCOPE (TRANS _let_174 (CONG (TRANS _let_175 (CONG (TRANS (CONG (SYMM (SYMM _let_179)) _let_131 :args _let_164) (SYMM (SYMM _let_178))) _let_151 :args _let_134) (SYMM _let_177)) _let_131 :args _let_134) (SYMM _let_176) (CONG _let_170 (TRANS (CONG (SYMM _let_175) _let_131 :args _let_134) (SYMM _let_174) (SYMM (SYMM _let_173)) (CONG _let_163 _let_151 :args _let_164) (SYMM (SYMM _let_172))) :args _let_134) (SYMM (SYMM _let_171)) (CONG (REFL :args (_let_60)) (TRANS (SYMM _let_167) _let_168) :args _let_134) (CONG (CONG _let_170 (SYMM _let_169) :args _let_134) (TRANS (SYMM _let_168) _let_167 _let_144 (CONG _let_154 _let_163 :args _let_134) (SYMM (SYMM _let_162)) (SYMM (SYMM _let_161)) (CONG (REFL :args (_let_32)) _let_150 :args _let_134) (CONG _let_143 (TRANS _let_148 (CONG (TRANS _let_148 _let_155) _let_137 :args _let_134) (SYMM _let_160) (CONG _let_151 (TRANS _let_158 (SYMM _let_159)) :args _let_134) (CONG _let_151 (TRANS _let_159 (SYMM _let_158) (SYMM (SYMM _let_157)) (CONG (TRANS (TRANS (SYMM _let_156) (SYMM _let_155) _let_147) _let_149) _let_154 :args _let_134) (CONG _let_150 _let_154 :args _let_134) (SYMM (SYMM _let_153)) (CONG _let_151 (SYMM _let_152) :args _let_134) _let_149) :args _let_134) (CONG _let_151 (TRANS _let_150 _let_148) :args _let_134) (SYMM _let_145)) :args _let_134) (CONG _let_144 (REFL :args (_let_40)) :args _let_134) (SYMM _let_142) (SYMM _let_141) (CONG (REFL :args (_let_28)) _let_140 :args _let_134) (SYMM _let_138) (CONG _let_137 _let_136 :args _let_134) _let_136) :args _let_134)) :args (_let_12 _let_56 _let_29 _let_66 _let_48 _let_43 _let_42 _let_37 _let_61 _let_57 _let_58 _let_24 _let_63 _let_27 _let_17 _let_50 _let_65 _let_67 _let_25 _let_45 _let_68 _let_49 _let_71 _let_54 _let_73 _let_31 _let_21 _let_59 _let_72 _let_34 _let_39))) :args (_let_12 _let_17 _let_21 _let_24 _let_25 _let_27 _let_29 _let_31 _let_34 _let_37 _let_39 _let_42 _let_43 _let_45 _let_48 _let_49 _let_50 _let_54 _let_56 _let_57 _let_58 _let_59 _let_61 _let_63 _let_65 _let_66 _let_67 _let_68 _let_71 _let_72 _let_73))) :args (true _let_133)) :args ((or (not _let_12) (not _let_17) (not _let_21) (not _let_24) (not _let_25) (not _let_27) (not _let_29) (not _let_31) (not _let_34) (not _let_37) (not _let_39) (not _let_42) (not _let_43) (not _let_45) (not _let_48) (not _let_49) (not _let_50) (not _let_54) _let_70 (not _let_56) (not _let_57) (not _let_58) (not _let_59) (not _let_61) (not _let_63) (not _let_65) (not _let_66) (not _let_67) (not _let_68) (not _let_71) (not _let_72) (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_18 _let_18 tptp.one QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_104))) _let_105 :args (_let_73 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_18 tptp.one _let_46 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_72 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_46 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_71 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_117)) :args ((or _let_116 _let_118 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_121 _let_120 (not _let_122)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_132) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_132) _let_131 :args (APPLY_UF tptp.leq)) (FALSE_INTRO _let_130))) :args _let_129)) :args _let_129)) :args (true _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_81))) (REFL :args ((not _let_125))) (REFL :args (_let_126)) :args _let_87)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 1)) _let_89 :args (_let_127 true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_80 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_125 false _let_112)) :args (_let_126 true _let_81 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A B) (tptp.multiplication (tptp.star A) C)))) :args (_let_123))) _let_124 :args (_let_122 false _let_123)) :args (_let_121 true _let_120 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_69 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_117 false _let_76)) :args (_let_118 true _let_116 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_35 _let_32 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_68 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_67 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_66 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_65 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_20 _let_46 tptp.one QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_104)) _let_105 :args (_let_63 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_51 _let_52 _let_22 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_61 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_40 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_59 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_19 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_58 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_28 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_57 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.one _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_56 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.one _let_32 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_54 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_50 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_49 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_20 _let_18 tptp.one QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_104))) _let_105 :args (_let_48 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_13 _let_18 _let_35 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_104)) _let_105 :args (_let_45 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_13 _let_15 _let_22 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_104)) _let_105 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_32 tptp.one _let_28 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_42 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_32 tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_39 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_20 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_37 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_13 _let_18 tptp.one QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_104))) _let_105 :args (_let_34 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.one _let_14 _let_22 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_104)) _let_105 :args (_let_31 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_13 _let_20 _let_20 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_29 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or (not _let_100) _let_27 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_102)) _let_103 :args (_let_100 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_20 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_101 false _let_76)) :args (_let_27 false _let_100 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_97)) :args ((or (not _let_96) _let_25 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_98)) _let_99 :args (_let_96 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_16 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_97 false _let_76)) :args (_let_25 false _let_96 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_24 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.one _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_17 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or _let_82 _let_12 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 0)) (CONG (REFL :args (_let_83)) (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_74))) :args _let_87)) :args ((or _let_74 _let_83))) _let_89 :args (_let_74 true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_75 false _let_76)) :args (_let_12 false _let_74 false _let_75)) :args (false false _let_73 false _let_72 false _let_71 true _let_70 false _let_68 false _let_67 false _let_66 false _let_65 false _let_63 false _let_61 false _let_59 false _let_58 false _let_57 false _let_56 false _let_54 false _let_50 false _let_49 false _let_48 false _let_45 false _let_43 false _let_42 false _let_39 false _let_37 false _let_34 false _let_31 false _let_29 false _let_27 false _let_25 false _let_24 false _let_21 false _let_17 false _let_12)) :args (_let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.39/2.58 )
% 2.39/2.58 % SZS output end Proof for KLE041+1
% 2.39/2.58 % cvc5---1.0.5 exiting
% 2.39/2.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------