TSTP Solution File: KLE048+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE048+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 05:27:04 EDT 2023
% Result : Theorem 3.03s 3.23s
% Output : Proof 3.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % 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 11:40:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 3.03/3.23 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3psMWZMYYO/cvc5---1.0.5_18278.p...
% 3.03/3.23 ------- get file name : TPTP file name is KLE048+1
% 3.03/3.23 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18278.smt2...
% 3.03/3.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.03/3.23 % SZS status Theorem for KLE048+1
% 3.03/3.23 % SZS output start Proof for KLE048+1
% 3.03/3.23 (
% 3.03/3.23 (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (tptp.test X0) (= (tptp.star X0) tptp.one)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_4 (forall ((A $$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 ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_16 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_18 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.addition _let_19 tptp.one))) (let ((_let_21 (tptp.addition tptp.one _let_19))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_24 (tptp.addition tptp.one _let_23))) (let ((_let_25 (= _let_18 (tptp.addition _let_24 _let_18)))) (let ((_let_26 (tptp.addition _let_21 _let_18))) (let ((_let_27 (= _let_18 _let_26))) (let ((_let_28 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_29 (= tptp.zero _let_28))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (= tptp.zero _let_30))) (let ((_let_32 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (= tptp.one _let_32))) (let ((_let_34 (tptp.addition _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18) _let_34))) (let ((_let_36 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (= _let_32 _let_36))) (let ((_let_38 (tptp.addition _let_24 _let_21))) (let ((_let_39 (tptp.addition _let_38 _let_18))) (let ((_let_40 (= (tptp.addition _let_24 _let_26) _let_39))) (let ((_let_41 (tptp.addition _let_19 _let_18))) (let ((_let_42 (tptp.addition tptp.one _let_41))) (let ((_let_43 (= _let_26 _let_42))) (let ((_let_44 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (tptp.multiplication _let_44 _let_18))) (let ((_let_46 (tptp.multiplication tptp.one _let_23))) (let ((_let_47 (= _let_46 _let_45))) (let ((_let_48 (tptp.multiplication tptp.one _let_18))) (let ((_let_49 (tptp.multiplication _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (tptp.multiplication tptp.one _let_19))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_53 (tptp.multiplication _let_19 tptp.one))) (let ((_let_54 (= _let_53 (tptp.multiplication _let_18 _let_52)))) (let ((_let_55 (= _let_19 _let_53))) (let ((_let_56 (= _let_23 _let_46))) (let ((_let_57 (= _let_19 _let_50))) (let ((_let_58 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_59 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (tptp.addition _let_59 _let_58))) (let ((_let_61 (= (tptp.multiplication _let_19 _let_32) _let_60))) (let ((_let_62 (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (= (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_62 _let_19)))) (let ((_let_64 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_23))) (let ((_let_65 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_66 (tptp.addition _let_65 _let_64))) (let ((_let_67 (= (tptp.multiplication _let_32 _let_23) _let_66))) (let ((_let_68 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19))) (let ((_let_69 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_70 (tptp.addition _let_69 _let_68))) (let ((_let_71 (= (tptp.multiplication _let_32 _let_19) _let_70))) (let ((_let_72 (= _let_42 (tptp.addition _let_41 tptp.one)))) (let ((_let_73 (= _let_39 (tptp.addition _let_18 _let_38)))) (let ((_let_74 (= _let_60 (tptp.addition _let_58 _let_59)))) (let ((_let_75 (= _let_70 (tptp.addition _let_68 _let_69)))) (let ((_let_76 (= (tptp.addition _let_21 _let_42) (tptp.addition (tptp.addition _let_21 tptp.one) _let_41)))) (let ((_let_77 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_78 (tptp.addition _let_77 _let_41))) (let ((_let_79 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_42) _let_78))) (let ((_let_80 (= (tptp.addition _let_19 _let_42) (tptp.addition _let_20 _let_41)))) (let ((_let_81 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_69))) (let ((_let_82 (tptp.addition _let_81 _let_68))) (let ((_let_83 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_70) _let_82))) (let ((_let_84 (tptp.addition _let_19 _let_21))) (let ((_let_85 (tptp.addition _let_21 _let_21))) (let ((_let_86 (= _let_85 (tptp.addition tptp.one _let_84)))) (let ((_let_87 (= _let_21 _let_85))) (let ((_let_88 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_45) (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_44) _let_18)))) (let ((_let_89 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_44))) (let ((_let_90 (tptp.multiplication _let_89 _let_18))) (let ((_let_91 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_45) _let_90))) (let ((_let_92 (= (tptp.multiplication _let_48 _let_28) (tptp.multiplication _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_93 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_94 (= (tptp.multiplication _let_48 _let_93) (tptp.multiplication _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_95 (= (tptp.multiplication _let_44 _let_19) (tptp.multiplication _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_96 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_52))) (let ((_let_97 (= _let_18 (tptp.multiplication _let_18 tptp.one)))) (let ((_let_98 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_44))) (let ((_let_99 (= _let_18 _let_48))) (let ((_let_100 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_66) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_65) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_64))))) (let ((_let_101 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_64))) (let ((_let_102 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_65))) (let ((_let_103 (tptp.addition _let_102 _let_101))) (let ((_let_104 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_66) _let_103))) (let ((_let_105 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_36) (tptp.addition _let_28 _let_93)))) (let ((_let_106 (tptp.addition _let_44 _let_59))) (let ((_let_107 (= _let_62 _let_106))) (let ((_let_108 (tptp.multiplication _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_109 (= (tptp.multiplication _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.addition _let_108 (tptp.multiplication _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_110 (tptp.multiplication _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_111 (tptp.multiplication _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_112 (tptp.addition _let_111 _let_110))) (let ((_let_113 (= (tptp.multiplication _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_112))) (let ((_let_114 (tptp.multiplication _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_115 (tptp.multiplication _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_116 (tptp.addition _let_115 _let_114))) (let ((_let_117 (= (tptp.multiplication _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_116))) (let ((_let_118 (tptp.addition _let_93 _let_30))) (let ((_let_119 (= (tptp.addition _let_30 _let_93) _let_118))) (let ((_let_120 (= _let_106 (tptp.addition _let_59 _let_44)))) (let ((_let_121 (= _let_112 (tptp.addition _let_110 _let_111)))) (let ((_let_122 (= (tptp.addition _let_19 _let_82) (tptp.addition (tptp.addition _let_19 _let_81) _let_68)))) (let ((_let_123 (tptp.addition _let_18 _let_44))) (let ((_let_124 (tptp.addition _let_123 _let_59))) (let ((_let_125 (tptp.addition _let_18 _let_106))) (let ((_let_126 (= _let_125 _let_124))) (let ((_let_127 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_44))) (let ((_let_128 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_106) (tptp.addition _let_127 _let_59)))) (let ((_let_129 (= (tptp.addition _let_68 _let_116) (tptp.addition (tptp.addition _let_68 _let_115) _let_114)))) (let ((_let_130 (tptp.addition _let_58 _let_111))) (let ((_let_131 (tptp.addition _let_130 _let_110))) (let ((_let_132 (= (tptp.addition _let_58 _let_112) _let_131))) (let ((_let_133 (tptp.addition _let_21 _let_19))) (let ((_let_134 (= (tptp.addition tptp.one (tptp.addition _let_19 _let_19)) _let_133))) (let ((_let_135 (= (tptp.addition _let_102 (tptp.addition _let_101 _let_64)) (tptp.addition _let_103 _let_64)))) (let ((_let_136 (tptp.addition _let_44 _let_44))) (let ((_let_137 (= _let_44 _let_136))) (let ((_let_138 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30) (tptp.multiplication _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_139 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_90) (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_89) _let_18)))) (let ((_let_140 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_93) (tptp.multiplication _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_141 (= _let_108 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_58)))) (let ((_let_142 (= _let_64 (tptp.multiplication _let_64 tptp.one)))) (let ((_let_143 (= _let_65 (tptp.multiplication tptp.one _let_65)))) (let ((_let_144 (tptp.addition _let_19 _let_93))) (let ((_let_145 (= (tptp.multiplication _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_144))) (let ((_let_146 (tptp.multiplication _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_147 (= (tptp.multiplication _let_106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_146)))) (let ((_let_148 (tptp.multiplication _let_114 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_149 (tptp.multiplication _let_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_150 (tptp.addition _let_149 _let_148))) (let ((_let_151 (= (tptp.multiplication _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_150))) (let ((_let_152 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.zero)))) (let ((_let_153 (= tptp.zero (tptp.multiplication _let_18 tptp.zero)))) (let ((_let_154 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_155 (= tptp.zero (tptp.multiplication tptp.zero _let_18)))) (let ((_let_156 (= _let_77 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_157 (= _let_125 (tptp.addition _let_106 _let_18)))) (let ((_let_158 (= _let_124 (tptp.addition _let_59 _let_123)))) (let ((_let_159 (= (tptp.addition _let_85 tptp.one) (tptp.addition tptp.one _let_85)))) (let ((_let_160 (= _let_84 _let_133))) (let ((_let_161 (= (tptp.addition _let_93 _let_19) _let_144))) (let ((_let_162 (= (tptp.addition _let_62 _let_59) (tptp.addition _let_59 _let_62)))) (let ((_let_163 (= _let_131 (tptp.addition _let_110 _let_130)))) (let ((_let_164 (= _let_150 (tptp.addition _let_148 _let_149)))) (let ((_let_165 (= _let_78 (tptp.addition _let_41 _let_77)))) (let ((_let_166 (= (tptp.addition _let_59 _let_118) (tptp.addition (tptp.addition _let_59 _let_93) _let_30)))) (let ((_let_167 (= (tptp.addition _let_44 (tptp.addition _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.addition _let_136 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_168 (tptp.multiplication tptp.one tptp.one))) (let ((_let_169 (= tptp.one _let_168))) (let ((_let_170 (tptp.multiplication _let_41 tptp.one))) (let ((_let_171 (tptp.leq _let_170 _let_168))) (let ((_let_172 (tptp.leq _let_48 tptp.one))) (let ((_let_173 (_let_17))) (let ((_let_174 (ASSUME :args _let_173))) (let ((_let_175 ((tptp.addition A B)))) (let ((_let_176 (tptp.leq _let_24 _let_18))) (let ((_let_177 (= _let_176 _let_25))) (let ((_let_178 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (_let_178))) (let ((_let_181 ((tptp.leq A B)))) (let ((_let_182 (_let_6))) (let ((_let_183 (ASSUME :args _let_182))) (let ((_let_184 (tptp.leq _let_21 _let_18))) (let ((_let_185 (= _let_184 _let_27))) (let ((_let_186 (_let_5))) (let ((_let_187 (ASSUME :args _let_186))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_185)) :args ((or (not _let_184) _let_27 (not _let_185)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_186)) _let_187 :args (_let_184 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_21 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_180)) _let_179 :args (_let_185 false _let_178)) :args (_let_27 false _let_184 false _let_185)))) (let ((_let_189 (and _let_29 _let_31 _let_33))) (let ((_let_190 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_191 (= _let_190 _let_189))) (let ((_let_192 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_193 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_194 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_195 (not _let_194))) (let ((_let_196 (tptp.test 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(_let_83 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (_let_41 tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING _let_216)) :args _let_214)) _let_215 :args (_let_80 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (_let_41 tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_216)) :args _let_214)) _let_215 :args (_let_79 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (_let_41 tptp.one _let_21 QUANTIFIERS_INST_E_MATCHING _let_216)) :args _let_214)) _let_215 :args (_let_76 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_69 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_75 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_59 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_74 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_38 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_73 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.one _let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_72 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19 QUANTIFIERS_INST_E_MATCHING _let_236)) :args _let_234)) _let_235 :args (_let_71 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_23 QUANTIFIERS_INST_E_MATCHING _let_236)) :args _let_234)) _let_235 :args (_let_67 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (_let_21 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_236)) :args _let_234)) _let_235 :args (_let_63 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_233)) :args _let_231)) _let_232 :args (_let_61 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_230)) :args _let_229)) _let_228 :args (_let_57 false _let_227)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_230)) :args _let_229)) _let_228 :args (_let_56 false _let_227)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_225)) _let_224 :args (_let_55 false _let_223)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_220 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_219))) _let_220 :args (_let_54 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (tptp.one _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_221)) :args _let_219)) _let_220 :args (_let_51 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_E_MATCHING _let_221)) :args _let_219)) _let_220 :args (_let_47 false _let_14)) _let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (_let_18 _let_21 _let_24 QUANTIFIERS_INST_E_MATCHING _let_216)) :args _let_214)) _let_215 :args (_let_40 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_37 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_35 false _let_17)) _let_213 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_189 1)) :args ((or _let_31 _let_212))) _let_211 :args (_let_31 false _let_189)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_189 0)) :args ((or _let_29 _let_212))) _let_211 :args (_let_29 false _let_189)) _let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_177)) :args ((or (not _let_176) _let_25 (not _let_177)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_182)) _let_183 :args (_let_176 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_24 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_180)) _let_179 :args (_let_177 false _let_178)) :args (_let_25 false _let_176 false _let_177)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_22 false _let_17)) :args (false false _let_172 true _let_171 false _let_169 false _let_167 false _let_166 false _let_165 false _let_164 false _let_163 false _let_162 false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_151 false _let_147 false _let_145 false _let_143 false _let_142 false _let_141 false _let_140 false _let_139 false _let_138 false _let_137 false _let_135 false _let_134 false _let_132 false _let_129 false _let_128 false _let_126 false _let_122 false _let_121 false _let_120 false _let_119 false _let_117 false _let_113 false _let_109 false _let_107 false _let_105 false _let_104 false _let_100 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_92 false _let_91 false _let_88 false _let_87 false _let_86 false _let_83 false _let_80 false _let_79 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_71 false _let_67 false _let_63 false _let_61 false _let_57 false _let_56 false _let_55 false _let_54 false _let_51 false _let_47 false _let_43 false _let_40 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_22)) :args (_let_17 _let_16 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((A $$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_4 _let_3 _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))) (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.03/3.24 )
% 3.03/3.24 % SZS output end Proof for KLE048+1
% 3.03/3.24 % cvc5---1.0.5 exiting
% 3.03/3.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------