TSTP Solution File: KLE010+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE010+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 05:26:48 EDT 2023
% Result : Theorem 8.60s 8.80s
% Output : Proof 8.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE010+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 11:52:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 8.60/8.80 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gXGZzY3OFa/cvc5---1.0.5_4484.p...
% 8.60/8.80 ------- get file name : TPTP file name is KLE010+1
% 8.60/8.80 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4484.smt2...
% 8.60/8.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.60/8.80 % SZS status Theorem for KLE010+1
% 8.60/8.80 % SZS output start Proof for KLE010+1
% 8.60/8.80 (
% 8.60/8.80 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (=> (and (tptp.test X1) (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition (tptp.addition (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication _let_1 X0)) (tptp.multiplication X0 X1)) (tptp.multiplication _let_2 X1)) (tptp.multiplication _let_2 _let_1)))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (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_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$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.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.multiplication _let_17 _let_16))) (let ((_let_19 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.addition _let_22 _let_21))) (let ((_let_24 (tptp.addition _let_23 _let_20))) (let ((_let_25 (tptp.addition _let_24 _let_19))) (let ((_let_26 (tptp.addition _let_25 _let_18))) (let ((_let_27 (= tptp.one _let_26))) (let ((_let_28 (tptp.addition _let_19 _let_18))) (let ((_let_29 (tptp.addition _let_24 _let_28))) (let ((_let_30 (= _let_26 _let_29))) (let ((_let_31 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_32 (tptp.multiplication _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (= _let_23 _let_32))) (let ((_let_34 (= _let_31 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_35 (= _let_29 (tptp.addition _let_28 _let_24)))) (let ((_let_36 (tptp.addition _let_18 _let_19))) (let ((_let_37 (= _let_28 _let_36))) (let ((_let_38 (tptp.addition _let_20 _let_28))) (let ((_let_39 (tptp.addition _let_23 _let_38))) (let ((_let_40 (= _let_29 _let_39))) (let ((_let_41 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_42 (tptp.multiplication _let_31 _let_41))) (let ((_let_43 (= _let_42 (tptp.multiplication _let_32 _let_20)))) (let ((_let_44 (= _let_28 (tptp.multiplication _let_17 _let_31)))) (let ((_let_45 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_46 (tptp.multiplication _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (tptp.addition _let_20 _let_19))) (let ((_let_48 (= _let_47 _let_46))) (let ((_let_49 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_50 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_51 (= tptp.one _let_50))) (let ((_let_52 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_53 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_54 (= tptp.one _let_53))) (let ((_let_55 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (= _let_45 _let_55))) (let ((_let_57 (tptp.addition _let_18 _let_47))) (let ((_let_58 (tptp.addition _let_47 _let_18))) (let ((_let_59 (= _let_58 _let_57))) (let ((_let_60 (tptp.addition _let_19 _let_39))) (let ((_let_61 (= _let_60 (tptp.addition (tptp.addition _let_19 _let_23) _let_38)))) (let ((_let_62 (= _let_58 _let_38))) (let ((_let_63 (tptp.addition _let_25 _let_28))) (let ((_let_64 (tptp.addition _let_19 _let_28))) (let ((_let_65 (tptp.addition _let_24 _let_64))) (let ((_let_66 (= _let_65 _let_63))) (let ((_let_67 (tptp.addition _let_21 _let_21))) (let ((_let_68 (= _let_21 _let_67))) (let ((_let_69 (tptp.addition _let_18 _let_18))) (let ((_let_70 (= _let_18 _let_69))) (let ((_let_71 (= _let_41 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_72 (= (tptp.multiplication _let_31 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47)) (tptp.multiplication _let_32 _let_47)))) (let ((_let_73 (tptp.multiplication _let_23 _let_19))) (let ((_let_74 (tptp.multiplication _let_23 _let_20))) (let ((_let_75 (= (tptp.multiplication _let_23 _let_47) (tptp.addition _let_74 _let_73)))) (let ((_let_76 (tptp.multiplication _let_20 _let_16))) (let ((_let_77 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (tptp.addition _let_77 _let_76))) (let ((_let_79 (tptp.multiplication _let_20 _let_31))) (let ((_let_80 (= _let_79 _let_78))) (let ((_let_81 (tptp.multiplication _let_21 _let_19))) (let ((_let_82 (tptp.multiplication _let_22 _let_19))) (let ((_let_83 (tptp.addition _let_82 _let_81))) (let ((_let_84 (= _let_73 _let_83))) (let ((_let_85 (= (tptp.addition _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_45)))) (let ((_let_86 (tptp.addition _let_41 _let_31))) (let ((_let_87 (= (tptp.addition _let_31 _let_41) _let_86))) (let ((_let_88 (= _let_60 (tptp.addition _let_39 _let_19)))) (let ((_let_89 (= _let_64 (tptp.addition _let_28 _let_19)))) (let ((_let_90 (= _let_63 (tptp.addition _let_28 _let_25)))) (let ((_let_91 (= _let_83 (tptp.addition _let_81 _let_82)))) (let ((_let_92 (= (tptp.addition _let_17 _let_24) (tptp.addition (tptp.addition _let_17 _let_23) _let_20)))) (let ((_let_93 (= (tptp.addition _let_18 _let_57) (tptp.addition _let_69 _let_47)))) (let ((_let_94 (tptp.addition _let_20 _let_17))) (let ((_let_95 (= (tptp.addition _let_23 _let_94) (tptp.addition _let_24 _let_17)))) (let ((_let_96 (tptp.addition _let_38 _let_28))) (let ((_let_97 (= (tptp.addition _let_20 (tptp.addition _let_28 _let_28)) _let_96))) (let ((_let_98 (= _let_65 (tptp.addition _let_23 (tptp.addition _let_20 _let_64))))) (let ((_let_99 (= (tptp.addition _let_25 _let_36) (tptp.addition _let_26 _let_19)))) (let ((_let_100 (tptp.addition _let_20 _let_20))) (let ((_let_101 (= _let_20 _let_100))) (let ((_let_102 (= _let_17 (tptp.addition _let_17 _let_17)))) (let ((_let_103 (= (tptp.multiplication _let_41 _let_31) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_79)))) (let ((_let_104 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_105 (= _let_104 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_106 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46) (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_107 (= _let_81 (tptp.multiplication _let_16 _let_104)))) (let ((_let_108 (= _let_82 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_104)))) (let ((_let_109 (= _let_76 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))))) (let ((_let_110 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_111 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_112 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_113 (= _let_31 (tptp.multiplication _let_31 tptp.one)))) (let ((_let_114 (= _let_17 (tptp.multiplication _let_17 tptp.one)))) (let ((_let_115 (= _let_41 (tptp.multiplication _let_41 tptp.one)))) (let ((_let_116 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_117 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_118 (= _let_16 (tptp.multiplication tptp.one _let_16)))) (let ((_let_119 (= _let_20 (tptp.multiplication tptp.one _let_20)))) (let ((_let_120 (= _let_41 (tptp.multiplication tptp.one _let_41)))) (let ((_let_121 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_76))) (let ((_let_122 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_77))) (let ((_let_123 (tptp.addition _let_122 _let_121))) (let ((_let_124 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_78) _let_123))) (let ((_let_125 (tptp.addition _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_126 (= (tptp.multiplication _let_31 _let_125) (tptp.addition _let_42 (tptp.multiplication _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_127 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_41))) (let ((_let_128 (= (tptp.multiplication _let_45 _let_127) (tptp.addition _let_46 (tptp.multiplication _let_45 _let_41))))) (let ((_let_129 (= (tptp.multiplication _let_67 _let_19) (tptp.addition _let_81 _let_81)))) (let ((_let_130 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero)))) (let ((_let_131 (= tptp.zero (tptp.multiplication _let_16 tptp.zero)))) (let ((_let_132 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_133 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_134 (= _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_135 (= _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_136 (tptp.multiplication _let_23 _let_17))) (let ((_let_137 (= (tptp.addition _let_136 _let_16) (tptp.addition _let_16 _let_136)))) (let ((_let_138 (= (tptp.addition _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20)))) (let ((_let_139 (tptp.addition _let_38 _let_19))) (let ((_let_140 (tptp.addition _let_69 _let_139))) (let ((_let_141 (= _let_140 (tptp.addition _let_139 _let_69)))) (let ((_let_142 (= _let_125 _let_127))) (let ((_let_143 (= (tptp.addition _let_45 _let_47) (tptp.addition (tptp.addition _let_45 _let_20) _let_19)))) (let ((_let_144 (= (tptp.addition _let_20 _let_47) (tptp.addition _let_100 _let_19)))) (let ((_let_145 (= _let_140 (tptp.addition (tptp.addition _let_69 _let_38) _let_19)))) (let ((_let_146 (= (tptp.addition _let_20 (tptp.addition _let_17 _let_19)) (tptp.addition _let_94 _let_19)))) (let ((_let_147 (= _let_96 (tptp.addition _let_139 _let_18)))) (let ((_let_148 (= (tptp.addition _let_122 (tptp.addition _let_121 _let_73)) (tptp.addition _let_123 _let_73)))) (let ((_let_149 (= _let_77 (tptp.addition _let_77 tptp.zero)))) (let ((_let_150 (= _let_16 (tptp.addition _let_16 tptp.zero)))) (let ((_let_151 (= (tptp.multiplication _let_86 _let_16) (tptp.addition (tptp.multiplication _let_41 _let_16) (tptp.multiplication _let_31 _let_16))))) (let ((_let_152 (= (tptp.multiplication _let_86 _let_127) (tptp.addition (tptp.multiplication _let_41 _let_127) (tptp.multiplication _let_31 _let_127))))) (let ((_let_153 (= (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_55) _let_45) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_45) (tptp.multiplication _let_55 _let_45))))) (let ((_let_154 (= (tptp.multiplication _let_39 _let_31) (tptp.addition (tptp.multiplication _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication _let_39 _let_16))))) (let ((_let_155 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_156 (not _let_155))) (let ((_let_157 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_158 _let_156 _let_27))) (let ((_let_160 (not _let_27))) (let ((_let_161 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (or (not (tptp.test X1)) (not (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition (tptp.addition (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication _let_1 X0)) (tptp.multiplication X0 X1)) (tptp.multiplication _let_2 X1)) (tptp.multiplication _let_2 _let_1))))))))) (let ((_let_162 (not _let_159))) (let ((_let_163 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_164 (or))) (let ((_let_165 (not _let_161))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_163) :args (_let_165))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_165) _let_161))) (REFL :args (_let_162)) :args _let_164)) _let_163 :args (_let_162 true _let_161)))) (let ((_let_167 (_let_14))) (let ((_let_168 (ASSUME :args _let_167))) (let ((_let_169 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_170 (_let_7))) (let ((_let_171 (ASSUME :args _let_170))) (let ((_let_172 ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (let ((_let_173 (_let_15))) (let ((_let_174 (ASSUME :args _let_173))) (let ((_let_175 ((tptp.addition A B)))) (let ((_let_176 (_let_11))) (let ((_let_177 (ASSUME :args _let_176))) (let ((_let_178 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_179 (_let_8))) (let ((_let_180 (ASSUME :args _let_179))) (let ((_let_181 ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (let ((_let_182 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_183 (and _let_49 _let_182 _let_51))) (let ((_let_184 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_185 (= _let_184 _let_183))) (let ((_let_186 (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_187 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_188 (_let_186))) (let ((_let_189 ((tptp.complement X1 X0)))) (let ((_let_190 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_191 (not _let_190))) (let ((_let_192 (= _let_155 _let_191))) (let ((_let_193 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_195 (_let_193))) (let ((_let_196 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_let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_56 false _let_15)) _let_218 _let_217 _let_204 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170))) _let_171 :args (_let_48 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_E_MATCHING _let_181)) :args _let_179))) _let_180 :args (_let_44 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_176)) _let_177 :args (_let_43 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_28 _let_20 _let_23 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_167))) _let_168 :args (_let_40 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_37 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_24 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_35 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_34 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170))) _let_171 :args (_let_33 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_18 _let_19 _let_24 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_167))) _let_168 :args (_let_30 false _let_14)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_159 2)) _let_166 :args (_let_160 true _let_159)) :args (false false _let_154 false _let_153 false _let_152 false _let_151 false _let_150 false _let_149 false _let_148 false _let_147 false _let_146 false _let_145 false _let_144 false _let_143 false _let_142 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_132 false _let_131 false _let_130 false _let_129 false _let_128 false _let_126 false _let_124 false _let_120 false _let_119 false _let_118 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_103 false _let_102 false _let_101 false _let_99 false _let_98 false _let_97 false _let_95 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_87 false _let_85 false _let_84 false _let_80 false _let_75 false _let_72 false _let_71 false _let_70 false _let_68 false _let_66 false _let_62 false _let_61 false _let_59 false _let_56 false _let_54 false _let_52 false _let_51 false _let_49 false _let_48 false _let_44 false _let_43 false _let_40 false _let_37 false _let_35 false _let_34 false _let_33 false _let_30 true _let_27)) :args (_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 $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.60/8.83 )
% 8.60/8.83 % SZS output end Proof for KLE010+1
% 8.60/8.83 % cvc5---1.0.5 exiting
% 8.60/8.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------