TSTP Solution File: KLE020+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE020+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 05:26:53 EDT 2023
% Result : Theorem 12.48s 12.70s
% Output : Proof 12.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE020+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 12:13:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 12.48/12.70 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.u7JwqOs6Pr/cvc5---1.0.5_29630.p...
% 12.48/12.70 ------- get file name : TPTP file name is KLE020+2
% 12.48/12.70 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29630.smt2...
% 12.48/12.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.48/12.70 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.48/12.70 % SZS status Theorem for KLE020+2
% 12.48/12.70 % SZS output start Proof for KLE020+2
% 12.48/12.70 (
% 12.48/12.70 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.addition X0 (tptp.multiplication X1 X2)))) (let ((_let_2 (tptp.multiplication (tptp.addition X0 X1) (tptp.addition X0 X2)))) (=> (and (tptp.test X0) (tptp.test X1) (tptp.test X2)) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1))))))))) (let ((_let_2 (forall ((X0 $$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 $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_5 (forall ((A $$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.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_23 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_26 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_27 (= tptp.zero _let_26))) (let ((_let_28 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (= tptp.zero _let_28))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_30))) (let ((_let_32 (= _let_31 (tptp.addition _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_33 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_33))) (let ((_let_35 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_35))) (let ((_let_37 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_38 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_39 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_37))) (let ((_let_40 (tptp.addition _let_39 _let_38))) (let ((_let_41 (= (tptp.multiplication _let_16 _let_37) _let_40))) (let ((_let_42 (tptp.addition _let_38 _let_39))) (let ((_let_43 (tptp.multiplication _let_17 _let_37))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (= _let_37 _let_45))) (let ((_let_47 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_47))) (let ((_let_49 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (= (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_50 _let_49)))) (let ((_let_52 (tptp.addition _let_30 _let_30))) (let ((_let_53 (= _let_30 _let_52))) (let ((_let_54 (tptp.addition _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30))) (let ((_let_56 (= _let_55 _let_54))) (let ((_let_57 (= _let_55 (tptp.addition _let_55 _let_55)))) (let ((_let_58 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_59 (tptp.addition _let_50 _let_58))) (let ((_let_60 (= _let_38 _let_59))) (let ((_let_61 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_62 (= _let_61 (tptp.addition _let_61 tptp.zero)))) (let ((_let_63 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 tptp.zero))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_63))) (let ((_let_65 (= (tptp.multiplication _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition _let_58 _let_61)))) (let ((_let_66 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_67 (= _let_19 _let_66))) (let ((_let_68 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_69 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68) (tptp.addition _let_50 _let_23)))) (let ((_let_70 (= (tptp.multiplication _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_28 _let_50)))) (let ((_let_71 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_21) (tptp.addition _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_73 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_74 (= _let_71 _let_73))) (let ((_let_75 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_71) (tptp.addition _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_76 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (= tptp.zero _let_76))) (let ((_let_78 (= tptp.one _let_73))) (let ((_let_79 (= (tptp.multiplication _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_50 _let_76)))) (let ((_let_80 (= (tptp.multiplication _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_76 _let_50)))) (let ((_let_81 (= (tptp.multiplication _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition _let_58 _let_35)))) (let ((_let_82 (= (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_49 _let_50)))) (let ((_let_83 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_45))) (let ((_let_84 (= _let_83 (tptp.addition _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_85 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_55))) (let ((_let_86 (= _let_85 (tptp.multiplication _let_85 tptp.one)))) (let ((_let_87 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_42))) (let ((_let_88 (= _let_87 (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38) _let_39)))) (let ((_let_89 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50) _let_58)))) (let ((_let_90 (tptp.addition _let_49 _let_30))) (let ((_let_91 (= _let_39 _let_90))) (let ((_let_92 (tptp.addition _let_55 _let_30))) (let ((_let_93 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_52) _let_92))) (let ((_let_94 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39) _let_38)))) (let ((_let_95 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_90) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_49) _let_30)))) (let ((_let_96 (= (tptp.addition _let_30 _let_87) (tptp.addition _let_54 _let_42)))) (let ((_let_97 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_83) (tptp.addition _let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_45))))) (let ((_let_98 (= (tptp.addition _let_55 _let_54) (tptp.addition _let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_99 (= (tptp.addition _let_30 _let_40) (tptp.addition (tptp.addition _let_30 _let_39) _let_38)))) (let ((_let_100 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_101 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_100) (tptp.multiplication _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)))) (let ((_let_102 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_103 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_102) (tptp.addition _let_58 _let_100)))) (let ((_let_104 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_105 (= (tptp.multiplication _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) (tptp.addition _let_100 _let_104)))) (let ((_let_106 (= tptp.zero _let_104))) (let ((_let_107 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_108 (= tptp.zero _let_107))) (let ((_let_109 (= tptp.one _let_102))) (let ((_let_110 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_111 (= tptp.one _let_110))) (let ((_let_112 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_110))) (let ((_let_113 (= _let_112 (tptp.addition _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_114 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_54) (tptp.addition _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_115 (= (tptp.multiplication _let_112 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_49 (tptp.multiplication _let_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_116 (= (tptp.multiplication _let_102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition _let_61 _let_107)))) (let ((_let_117 (= (tptp.multiplication _let_112 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition _let_30 (tptp.multiplication _let_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_118 (tptp.addition _let_43 _let_55))) (let ((_let_119 (= _let_55 _let_118))) (let ((_let_120 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_63) (tptp.addition _let_100 _let_26)))) (let ((_let_121 (tptp.multiplication _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_122 (tptp.multiplication _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_123 (tptp.addition _let_122 _let_121))) (let ((_let_124 (= (tptp.multiplication _let_85 _let_102) _let_123))) (let ((_let_125 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_123) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_122) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_121))))) (let ((_let_126 (tptp.addition _let_55 _let_43))) (let ((_let_127 (= _let_126 _let_118))) (let ((_let_128 (_let_15))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_128)) _let_129 :args (_let_18 false _let_15)))) (let ((_let_131 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (_let_131))) (let ((_let_134 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_134) :args _let_133)) _let_132 :args (_let_20 false _let_131)))) (let ((_let_136 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_136))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_134) :args _let_138)) _let_137 :args (_let_22 false _let_136)))) (let ((_let_140 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args _let_134) :args _let_142)) _let_141 :args (_let_24 false _let_140)))) (let ((_let_144 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (_let_144))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args _let_134) :args _let_146)) _let_145 :args (_let_25 false _let_144)))) (let ((_let_148 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args _let_134) :args (_let_148))) _let_149 :args (_let_27 false _let_148)))) (let ((_let_151 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args _let_134) :args (_let_151))) _let_152 :args (_let_29 false _let_151)))) (let ((_let_154 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_154) :args _let_138)) _let_137 :args (_let_34 false _let_136)))) (let ((_let_156 (_let_7))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args 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(SCOPE (INSTANTIATE _let_242 :args _let_246) :args _let_243)) _let_242 :args (_let_245 false _let_241)) :args (_let_190 false _let_244 false _let_245)) :args ((not _let_189) true _let_191 false _let_190)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args (_let_43 _let_55 QUANTIFIERS_INST_CBQI_PROP)) :args _let_243)) _let_242 :args (_let_239 false _let_241)) :args (_let_240 true _let_189 false _let_239)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_156)) _let_157 :args (_let_117 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_156)) _let_157 :args (_let_116 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_156)) _let_157 :args (_let_115 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_170)) _let_171 :args (_let_114 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_170)) _let_171 :args (_let_113 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_231 2)) :args ((or _let_111 (not _let_231)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_233)) :args ((or _let_237 _let_231 (not _let_233)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_238)) :args _let_238) (REWRITE :args ((=> _let_235 (not _let_237)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_235) _let_234))) (REFL :args (_let_232)) :args _let_201)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_236)) :args ((or _let_195 _let_235 (not _let_236)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_197 1)) (CONG _let_204 (MACRO_SR_PRED_INTRO :args ((= (not _let_195) _let_194))) :args _let_201)) :args ((or _let_194 _let_197))) _let_203 :args (_let_194 true _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args _let_161) :args _let_188)) _let_187 :args (_let_236 false _let_186)) :args (_let_235 false _let_194 false _let_236)) :args (_let_232 true _let_234)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_ENUM)) :args _let_181)) _let_180 :args (_let_233 false _let_179)) :args (_let_231 false _let_232 false _let_233)) :args (_let_111 false _let_231)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_221 2)) :args ((or _let_109 _let_230))) _let_229 :args (_let_109 false _let_221)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_221 1)) :args ((or _let_108 _let_230))) _let_229 :args (_let_108 false _let_221)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_221 0)) :args ((or _let_106 _let_230))) _let_229 :args (_let_106 false _let_221)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_220) :args _let_156)) _let_157 :args (_let_105 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args _let_220) :args _let_163)) _let_164 :args (_let_103 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_ENUM)) :args _let_218)) _let_219 :args (_let_101 false _let_11)) _let_217 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30 _let_55 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_170)) _let_171 :args (_let_98 false _let_14)) _let_216 _let_215 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_30 _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_170)) _let_171 :args (_let_95 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_38 _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_170)) _let_171 :args (_let_94 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_30 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_170)) _let_171 :args (_let_93 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_163)) _let_164 :args (_let_91 false _let_8)) _let_214 _let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_85 QUANTIFIERS_INST_ENUM)) :args _let_142)) _let_141 :args (_let_86 false _let_140)) _let_212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_156)) _let_157 :args (_let_82 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_156)) _let_157 :args (_let_81 false _let_7)) _let_211 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_156)) _let_157 :args (_let_79 false _let_7)) _let_210 _let_209 _let_175 _let_174 _let_172 _let_169 _let_168 _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_166) :args _let_156)) _let_157 :args (_let_65 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_132 :args (_let_64 false _let_131)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_61 QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_132 :args (_let_62 false _let_131)) _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_55 QUANTIFIERS_INST_ENUM)) :args _let_138)) _let_137 :args (_let_57 false _let_136)) _let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_30 QUANTIFIERS_INST_ENUM)) :args _let_138)) _let_137 :args (_let_53 false _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_156)) _let_157 :args (_let_51 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_161) :args _let_138)) _let_137 :args (_let_48 false _let_136)) _let_160 _let_159 _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args _let_154) :args _let_146)) _let_145 :args (_let_36 false _let_144)) _let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_30 QUANTIFIERS_INST_ENUM)) :args _let_128)) _let_129 :args (_let_32 false _let_15)) _let_153 _let_150 _let_147 _let_143 _let_139 _let_135 _let_130 :args (false false _let_127 false _let_125 false _let_124 false _let_120 true _let_119 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_111 false _let_109 false _let_108 false _let_106 false _let_105 false _let_103 false _let_101 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_91 false _let_89 false _let_88 false _let_86 false _let_84 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_75 false _let_74 false _let_72 false _let_70 false _let_69 false _let_67 false _let_65 false _let_64 false _let_62 false _let_60 false _let_57 false _let_56 false _let_53 false _let_51 false _let_48 false _let_46 false _let_44 false _let_41 false _let_36 false _let_34 false _let_32 false _let_29 false _let_27 false _let_25 false _let_24 false _let_22 false _let_20 false _let_18)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.48/12.71 )
% 12.48/12.71 % SZS output end Proof for KLE020+2
% 12.48/12.71 % cvc5---1.0.5 exiting
% 12.48/12.71 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------