TSTP Solution File: KLE120+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE120+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 05:27:19 EDT 2023
% Result : Theorem 26.59s 26.76s
% Output : Proof 26.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE120+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 12:10:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 26.59/26.76 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mf5NsF9f15/cvc5---1.0.5_31378.p...
% 26.59/26.76 ------- get file name : TPTP file name is KLE120+1
% 26.59/26.76 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31378.smt2...
% 26.59/26.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.59/26.76 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.59/26.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.59/26.76 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.59/26.76 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.59/26.76 % SZS status Theorem for KLE120+1
% 26.59/26.76 % SZS output start Proof for KLE120+1
% 26.59/26.76 (
% 26.59/26.76 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= (tptp.addition (tptp.backward_diamond tptp.one _let_1) _let_1) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_diamond X0 X1) (tptp.codomain (tptp.multiplication (tptp.codomain X1) X0)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_8 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_9 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_18 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_20 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.backward_diamond tptp.one _let_20))) (let ((_let_22 (tptp.addition _let_21 _let_20))) (let ((_let_23 (= _let_20 _let_22))) (let ((_let_24 (tptp.addition _let_20 _let_21))) (let ((_let_25 (= _let_22 _let_24))) (let ((_let_26 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.antidomain _let_26))) (let ((_let_28 (= _let_20 _let_27))) (let ((_let_29 (tptp.codomain _let_20))) (let ((_let_30 (tptp.multiplication _let_29 tptp.one))) (let ((_let_31 (tptp.codomain _let_30))) (let ((_let_32 (= _let_21 _let_31))) (let ((_let_33 (= _let_29 _let_30))) (let ((_let_34 (= tptp.zero (tptp.multiplication (tptp.antidomain _let_20) _let_20)))) (let ((_let_35 (tptp.multiplication _let_27 _let_26))) (let ((_let_36 (= tptp.zero _let_35))) (let ((_let_37 (tptp.addition _let_27 _let_26))) (let ((_let_38 (= tptp.one _let_37))) (let ((_let_39 (tptp.antidomain _let_27))) (let ((_let_40 (tptp.addition _let_39 _let_27))) (let ((_let_41 (= tptp.one _let_40))) (let ((_let_42 (tptp.domain _let_26))) (let ((_let_43 (= _let_39 _let_42))) (let ((_let_44 (tptp.coantidomain _let_20))) (let ((_let_45 (tptp.coantidomain _let_44))) (let ((_let_46 (= _let_29 _let_45))) (let ((_let_47 (tptp.coantidomain _let_30))) (let ((_let_48 (tptp.coantidomain _let_47))) (let ((_let_49 (= _let_31 _let_48))) (let ((_let_50 (tptp.addition _let_26 _let_27))) (let ((_let_51 (= _let_37 _let_50))) (let ((_let_52 (= _let_40 (tptp.addition _let_27 _let_39)))) (let ((_let_53 (tptp.multiplication _let_29 _let_27))) (let ((_let_54 (tptp.multiplication _let_29 _let_39))) (let ((_let_55 (tptp.addition _let_54 _let_53))) (let ((_let_56 (= (tptp.multiplication _let_29 _let_40) _let_55))) (let ((_let_57 (= tptp.zero (tptp.multiplication _let_20 _let_44)))) (let ((_let_58 (= tptp.zero (tptp.multiplication _let_30 _let_47)))) (let ((_let_59 (tptp.multiplication _let_47 _let_48))) (let ((_let_60 (= tptp.zero _let_59))) (let ((_let_61 (tptp.coantidomain (tptp.multiplication _let_45 tptp.one)))) (let ((_let_62 (tptp.coantidomain (tptp.multiplication _let_20 tptp.one)))) (let ((_let_63 (tptp.addition _let_62 _let_61))) (let ((_let_64 (= _let_61 _let_63))) (let ((_let_65 (tptp.addition _let_45 _let_44))) (let ((_let_66 (= tptp.one _let_65))) (let ((_let_67 (tptp.coantidomain _let_45))) (let ((_let_68 (tptp.addition _let_67 _let_45))) (let ((_let_69 (= tptp.one _let_68))) (let ((_let_70 (tptp.addition _let_48 _let_47))) (let ((_let_71 (= tptp.one _let_70))) (let ((_let_72 (= _let_67 (tptp.codomain _let_44)))) (let ((_let_73 (= _let_44 (tptp.multiplication tptp.one _let_44)))) (let ((_let_74 (= _let_27 (tptp.multiplication tptp.one _let_27)))) (let ((_let_75 (= _let_27 (tptp.multiplication _let_27 tptp.one)))) (let ((_let_76 (= _let_42 (tptp.multiplication _let_42 tptp.one)))) (let ((_let_77 (= _let_20 (tptp.addition _let_20 _let_20)))) (let ((_let_78 (tptp.multiplication _let_42 _let_26))) (let ((_let_79 (= (tptp.multiplication _let_42 _let_50) (tptp.addition _let_78 (tptp.multiplication _let_42 _let_27))))) (let ((_let_80 (= tptp.zero (tptp.multiplication tptp.zero _let_27)))) (let ((_let_81 (tptp.multiplication _let_27 _let_48))) (let ((_let_82 (= (tptp.multiplication _let_27 _let_70) (tptp.addition _let_81 (tptp.multiplication _let_27 _let_47))))) (let ((_let_83 (tptp.multiplication _let_47 _let_20))) (let ((_let_84 (= (tptp.multiplication _let_47 _let_24) (tptp.addition _let_83 (tptp.multiplication _let_47 _let_21))))) (let ((_let_85 (tptp.multiplication _let_30 _let_62))) (let ((_let_86 (= (tptp.multiplication _let_30 _let_63) (tptp.addition _let_85 (tptp.multiplication _let_30 _let_61))))) (let ((_let_87 (= _let_55 (tptp.addition _let_53 _let_54)))) (let ((_let_88 (tptp.addition _let_45 _let_67))) (let ((_let_89 (= _let_68 _let_88))) (let ((_let_90 (tptp.addition _let_70 _let_27))) (let ((_let_91 (= (tptp.addition _let_48 (tptp.addition _let_47 _let_27)) _let_90))) (let ((_let_92 (tptp.addition _let_20 _let_47))) (let ((_let_93 (= (tptp.addition _let_21 _let_92) (tptp.addition _let_22 _let_47)))) (let ((_let_94 (tptp.multiplication _let_48 _let_27))) (let ((_let_95 (= (tptp.multiplication _let_47 _let_94) (tptp.multiplication _let_59 _let_27)))) (let ((_let_96 (= _let_83 (tptp.addition _let_83 tptp.zero)))) (let ((_let_97 (= _let_85 (tptp.addition _let_85 tptp.zero)))) (let ((_let_98 (tptp.multiplication tptp.one _let_48))) (let ((_let_99 (= _let_98 (tptp.addition _let_98 tptp.zero)))) (let ((_let_100 (= _let_47 (tptp.multiplication _let_47 tptp.one)))) (let ((_let_101 (= _let_48 _let_98))) (let ((_let_102 (= _let_92 (tptp.addition _let_47 _let_20)))) (let ((_let_103 (= (tptp.multiplication _let_88 _let_48) (tptp.addition (tptp.multiplication _let_45 _let_48) (tptp.multiplication _let_67 _let_48))))) (let ((_let_104 (= (tptp.multiplication _let_29 _let_70) (tptp.addition (tptp.multiplication _let_29 _let_48) (tptp.multiplication _let_29 _let_47))))) (let ((_let_105 (= tptp.zero (tptp.multiplication (tptp.antidomain _let_54) _let_54)))) (let ((_let_106 (tptp.coantidomain tptp.one))) (let ((_let_107 (tptp.multiplication tptp.one _let_106))) (let ((_let_108 (= tptp.zero _let_107))) (let ((_let_109 (tptp.coantidomain _let_106))) (let ((_let_110 (= tptp.one (tptp.addition _let_109 _let_106)))) (let ((_let_111 (= _let_106 _let_107))) (let ((_let_112 (= (tptp.multiplication _let_70 _let_27) (tptp.addition _let_94 (tptp.multiplication _let_47 _let_27))))) (let ((_let_113 (= (tptp.multiplication _let_40 _let_26) (tptp.addition (tptp.multiplication _let_39 _let_26) _let_35)))) (let ((_let_114 (= _let_26 (tptp.multiplication tptp.one _let_26)))) (let ((_let_115 (tptp.multiplication _let_45 _let_39))) (let ((_let_116 (tptp.coantidomain _let_115))) (let ((_let_117 (tptp.coantidomain (tptp.multiplication _let_20 _let_39)))) (let ((_let_118 (tptp.addition _let_117 _let_116))) (let ((_let_119 (= _let_116 _let_118))) (let ((_let_120 (tptp.multiplication _let_115 _let_116))) (let ((_let_121 (= tptp.zero _let_120))) (let ((_let_122 (tptp.multiplication _let_115 _let_117))) (let ((_let_123 (= (tptp.multiplication _let_115 _let_118) (tptp.addition _let_122 _let_120)))) (let ((_let_124 (tptp.multiplication _let_47 _let_44))) (let ((_let_125 (= (tptp.multiplication _let_47 _let_65) (tptp.addition (tptp.multiplication _let_47 _let_45) _let_124)))) (let ((_let_126 (= (tptp.multiplication _let_70 _let_44) (tptp.addition (tptp.multiplication _let_48 _let_44) _let_124)))) (let ((_let_127 (= (tptp.addition _let_27 _let_37) (tptp.addition (tptp.addition _let_27 _let_27) _let_26)))) (let ((_let_128 (= (tptp.addition _let_27 _let_70) (tptp.addition (tptp.addition _let_27 _let_48) _let_47)))) (let ((_let_129 (= _let_122 (tptp.addition _let_122 tptp.zero)))) (let ((_let_130 (= _let_109 (tptp.addition _let_109 tptp.zero)))) (let ((_let_131 (= _let_94 (tptp.addition _let_94 tptp.zero)))) (let ((_let_132 (= _let_81 (tptp.addition _let_81 tptp.zero)))) (let ((_let_133 (= (tptp.multiplication _let_54 tptp.one) (tptp.multiplication _let_29 (tptp.multiplication _let_39 tptp.one))))) (let ((_let_134 (= (tptp.multiplication _let_90 _let_48) (tptp.addition (tptp.multiplication _let_70 _let_48) _let_81)))) (let ((_let_135 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= _let_1 (tptp.addition (tptp.backward_diamond tptp.one _let_1) _let_1)))))) (let ((_let_136 (not _let_23))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (not _let_135))) (let ((_let_139 (_let_19))) (let ((_let_140 (ASSUME :args _let_139))) (let ((_let_141 ((tptp.addition A B)))) (let ((_let_142 (_let_7))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 (_let_2))) (let ((_let_145 (ASSUME :args _let_144))) (let ((_let_146 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (_let_146))) (let ((_let_149 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (_let_149))) (let ((_let_152 ((tptp.antidomain X0)))) (let ((_let_153 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (_let_153))) (let ((_let_156 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_157 (_let_3))) (let ((_let_158 (ASSUME :args _let_157))) (let ((_let_159 ((tptp.codomain X0)))) (let ((_let_160 (_let_12))) (let ((_let_161 (ASSUME :args _let_160))) (let ((_let_162 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_163 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication X0 (tptp.coantidomain X0)))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (_let_163))) (let ((_let_166 ((tptp.coantidomain X0)))) (let ((_let_167 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= _let_1 (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1)))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (_let_167))) (let ((_let_170 ((tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (let ((_let_171 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= tptp.one (tptp.addition (tptp.coantidomain _let_1) _let_1)))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (_let_171))) (let ((_let_174 ((tptp.coantidomain (tptp.coantidomain X0))))) (let ((_let_175 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (_let_175))) (let ((_let_178 (_let_27 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_179 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_181 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_182 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_183 (_let_18))) (let ((_let_184 (ASSUME :args _let_183))) (let ((_let_185 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_186 (_let_15))) (let ((_let_187 (ASSUME :args _let_186))) (let ((_let_188 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_189 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_190 (_let_188))) (let ((_let_191 (_let_11))) (let ((_let_192 (ASSUME :args _let_191))) (let ((_let_193 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_194 (and _let_25 _let_28 _let_32 _let_33 _let_34 _let_36 _let_38 _let_41 _let_43 _let_46 _let_49 _let_51 _let_52 _let_56 _let_57 _let_58 _let_60 _let_64 _let_66 _let_69 _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_77 _let_79 _let_80 _let_82 _let_84 _let_86 _let_87 _let_89 _let_91 _let_93 _let_95 _let_96 _let_97 _let_99 _let_100 _let_101 _let_102 _let_103 _let_104 _let_105 _let_108 _let_110 _let_111 _let_112 _let_113 _let_114 _let_119 _let_121 _let_123 _let_125 _let_126 _let_127 _let_128 _let_129 _let_130 _let_131 _let_132 _let_133 _let_134))) (let ((_let_195 (APPLY_UF tptp.addition))) (let ((_let_196 (ASSUME :args (_let_28)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (ASSUME :args (_let_75)))) (let ((_let_199 (APPLY_UF tptp.multiplication))) (let ((_let_200 (REFL :args (tptp.one)))) (let ((_let_201 (CONG _let_196 _let_200 :args _let_199))) (let ((_let_202 (ASSUME :args (_let_71)))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (ASSUME :args (_let_82)))) (let ((_let_205 (REFL :args (_let_47)))) (let ((_let_206 (ASSUME :args (_let_100)))) (let ((_let_207 (ASSUME :args (_let_66)))) (let ((_let_208 (ASSUME :args (_let_125)))) (let ((_let_209 (ASSUME :args (_let_46)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (ASSUME :args (_let_33)))) (let ((_let_212 (SYMM _let_211))) (let ((_let_213 (CONG _let_212 _let_200 :args _let_199))) (let ((_let_214 (CONG _let_211 _let_203 :args _let_199))) (let ((_let_215 (ASSUME :args (_let_104)))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (ASSUME :args (_let_58)))) (let ((_let_218 (SYMM _let_217))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (ASSUME :args (_let_60)))) (let ((_let_221 (SYMM _let_220))) (let ((_let_222 (REFL :args (_let_48)))) (let ((_let_223 (APPLY_UF tptp.coantidomain))) (let ((_let_224 (TRANS _let_210 _let_211))) (let ((_let_225 (ASSUME :args (_let_72)))) (let ((_let_226 (TRANS (SYMM _let_225) (CONG _let_224 :args _let_223)))) (let ((_let_227 (CONG _let_226 _let_222 :args _let_199))) (let ((_let_228 (CONG (CONG _let_210 _let_222 :args _let_199) (TRANS (CONG _let_225 _let_222 :args _let_199) _let_227 _let_221 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_85 QUANTIFIERS_INST_CBQI_PROP)) :args _let_190)) _let_189 :args (_let_97 false _let_188)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_83 QUANTIFIERS_INST_CBQI_PROP)) :args _let_190)) _let_189 :args (_let_96 false _let_188)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_47 _let_48 _let_27 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_186)) _let_187 :args (_let_95 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_47 _let_20 _let_21 QUANTIFIERS_INST_E_MATCHING _let_185)) :args _let_183)) _let_184 :args (_let_93 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_27 _let_47 _let_48 QUANTIFIERS_INST_E_MATCHING _let_185)) :args _let_183)) _let_184 :args (_let_91 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_67 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_139)) _let_140 :args (_let_89 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_54 _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_139)) _let_140 :args (_let_87 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_30 _let_62 _let_61 QUANTIFIERS_INST_E_MATCHING _let_162)) :args _let_160)) _let_161 :args (_let_86 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_47 _let_20 _let_21 QUANTIFIERS_INST_E_MATCHING _let_162)) :args _let_160)) _let_161 :args (_let_84 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_27 _let_48 _let_47 QUANTIFIERS_INST_E_MATCHING _let_162)) :args _let_160)) _let_161 :args (_let_82 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args _let_178) :args (_let_181))) _let_182 :args (_let_80 false _let_181)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_42 _let_26 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_160)) _let_161 :args (_let_79 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_20 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_179))) _let_180 :args (_let_77 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_148)) _let_147 :args (_let_76 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args _let_178) :args _let_148)) _let_147 :args (_let_75 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args _let_178) :args _let_177)) _let_176 :args (_let_74 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (_let_44 QUANTIFIERS_INST_CBQI_PROP)) :args _let_177)) _let_176 :args (_let_73 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_44 QUANTIFIERS_INST_E_MATCHING ((tptp.coantidomain (tptp.coantidomain X0))))) :args _let_157))) _let_158 :args (_let_72 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (_let_30 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_173)) _let_172 :args (_let_71 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (_let_44 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_173)) _let_172 :args (_let_69 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (_let_20 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_173)) _let_172 :args (_let_66 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_20 tptp.one QUANTIFIERS_INST_E_MATCHING _let_170)) :args _let_169)) _let_168 :args (_let_64 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_60 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_58 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_57 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_29 _let_39 _let_27 QUANTIFIERS_INST_E_MATCHING _let_162)) :args _let_160)) _let_161 :args (_let_56 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_39 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_139)) _let_140 :args (_let_52 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_27 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_139)) _let_140 :args (_let_51 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_157)) _let_158 :args (_let_49 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_157)) _let_158 :args (_let_46 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_26 QUANTIFIERS_INST_E_MATCHING ((tptp.antidomain (tptp.antidomain X0))))) :args _let_142))) _let_143 :args (_let_43 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_26 QUANTIFIERS_INST_E_MATCHING _let_156)) :args _let_155)) _let_154 :args (_let_41 false _let_153)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_156)) :args _let_155)) _let_154 :args (_let_38 false _let_153)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_152)) :args _let_151)) _let_150 :args (_let_36 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_152)) :args _let_151)) _let_150 :args (_let_34 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_148)) _let_147 :args (_let_33 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.one _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.backward_diamond X0 X1)))) :args _let_144)) _let_145 :args (_let_32 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args _let_142)) _let_143 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_21 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_139)) _let_140 :args (_let_25 false _let_19)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_137) :args (_let_138))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_135))) (REFL :args (_let_136)) :args (or))) _let_137 :args (_let_136 true _let_135)) :args (false false _let_134 false _let_133 false _let_132 false _let_131 false _let_130 false _let_129 false _let_128 false _let_127 false _let_126 false _let_125 false _let_123 false _let_121 false _let_119 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_108 false _let_105 false _let_104 false _let_103 false _let_102 false _let_101 false _let_100 false _let_99 false _let_97 false _let_96 false _let_95 false _let_93 false _let_91 false _let_89 false _let_87 false _let_86 false _let_84 false _let_82 false _let_80 false _let_79 false _let_77 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_71 false _let_69 false _let_66 false _let_64 false _let_60 false _let_58 false _let_57 false _let_56 false _let_52 false _let_51 false _let_49 false _let_46 false _let_43 false _let_41 false _let_38 false _let_36 false _let_34 false _let_33 false _let_32 false _let_28 false _let_25 true _let_23)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_9 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$unsorted)) (= (tptp.c X0) (tptp.antidomain (tptp.domain X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain_difference X0 X1) (tptp.multiplication (tptp.domain X0) (tptp.antidomain X1)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_diamond X0 X1) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_box X0 X1) (tptp.c (tptp.forward_diamond X0 (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_box X0 X1) (tptp.c (tptp.backward_diamond X0 (tptp.c X1))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.59/26.77 )
% 26.59/26.77 % SZS output end Proof for KLE120+1
% 26.59/26.77 % cvc5---1.0.5 exiting
% 26.59/26.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------