TSTP Solution File: KLE016+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE016+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 05:26:52 EDT 2023
% Result : Theorem 13.22s 13.42s
% Output : Proof 13.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE016+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.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 12:21:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 13.22/13.42 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.rD42cthGWV/cvc5---1.0.5_5938.p...
% 13.22/13.42 ------- get file name : TPTP file name is KLE016+3
% 13.22/13.42 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5938.smt2...
% 13.22/13.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.22/13.42 --- Run --no-e-matching --full-saturate-quant at 5...
% 13.22/13.42 % SZS status Theorem for KLE016+3
% 13.22/13.42 % SZS output start Proof for KLE016+3
% 13.22/13.42 (
% 13.22/13.42 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c (tptp.multiplication X0 X1)))) (let ((_let_2 (tptp.addition (tptp.c X0) (tptp.c X1)))) (=> (and (tptp.test X1) (tptp.test X0)) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1))))))))) (let ((_let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_15 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_17 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.addition _let_19 _let_18))) (let ((_let_21 (tptp.complement _let_20 _let_17))) (let ((_let_22 (forall ((X1 $$unsorted)) (not (tptp.complement X1 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_23 (tptp.addition _let_17 _let_20))) (let ((_let_24 (= tptp.one _let_23))) (let ((_let_25 (= tptp.zero (tptp.multiplication _let_20 _let_17)))) (let ((_let_26 (tptp.multiplication _let_17 _let_20))) (let ((_let_27 (= tptp.zero _let_26))) (let ((_let_28 (and _let_27 _let_25 _let_24))) (let ((_let_29 (= _let_21 _let_28))) (let ((_let_30 (forall ((X0 $$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_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (_let_17 _let_20 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_34 (tptp.multiplication _let_18 _let_18))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_36 (tptp.addition _let_17 _let_35))) (let ((_let_37 (tptp.addition _let_35 _let_34))) (let ((_let_38 (= (tptp.addition _let_17 _let_37) (tptp.addition _let_36 _let_34)))) (let ((_let_39 (tptp.addition _let_18 _let_20))) (let ((_let_40 (= (tptp.addition _let_17 _let_39) (tptp.addition (tptp.addition _let_17 _let_18) _let_20)))) (let ((_let_41 (tptp.addition _let_18 _let_19))) (let ((_let_42 (= _let_20 _let_41))) (let ((_let_43 (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (= tptp.one _let_43))) (let ((_let_45 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_46 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_48 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47) (tptp.addition _let_46 _let_45)))) (let ((_let_49 (= (tptp.addition _let_18 _let_43) (tptp.addition _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_50 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_51 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50) _let_36))) (let ((_let_52 (tptp.multiplication tptp.zero _let_18))) (let ((_let_53 (tptp.addition _let_18 tptp.zero))) (let ((_let_54 (= (tptp.multiplication _let_53 _let_18) (tptp.addition _let_34 _let_52)))) (let ((_let_55 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_56 (tptp.addition _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_57 (= (tptp.multiplication _let_56 _let_18) (tptp.addition _let_34 _let_55)))) (let ((_let_58 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_59 (= (tptp.addition _let_46 _let_58) (tptp.addition (tptp.addition _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_20)))) (let ((_let_60 (= (tptp.addition tptp.one _let_46) (tptp.addition _let_46 tptp.one)))) (let ((_let_61 (tptp.multiplication tptp.one _let_18))) (let ((_let_62 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (= (tptp.multiplication _let_62 _let_18) (tptp.addition _let_61 _let_35)))) (let ((_let_64 (tptp.addition _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (= (tptp.multiplication _let_64 _let_18) (tptp.addition _let_34 _let_35)))) (let ((_let_66 (= (tptp.addition _let_18 _let_58) (tptp.addition _let_64 _let_20)))) (let ((_let_67 (= tptp.zero _let_45))) (let ((_let_68 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_69 (= (tptp.addition tptp.one _let_50) (tptp.addition _let_68 _let_18)))) (let ((_let_70 (= (tptp.addition _let_18 tptp.one) (tptp.addition tptp.one _let_18)))) (let ((_let_71 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_72 (= (tptp.multiplication _let_71 _let_18) _let_37))) (let ((_let_73 (tptp.addition _let_18 _let_18))) (let ((_let_74 (tptp.addition _let_20 _let_18))) (let ((_let_75 (= _let_74 (tptp.addition _let_19 _let_73)))) (let ((_let_76 (= _let_39 _let_74))) (let ((_let_77 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (= (tptp.addition _let_18 _let_77) (tptp.addition _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_79 (= tptp.one _let_56))) (let ((_let_80 (= _let_50 _let_56))) (let ((_let_81 (= tptp.zero _let_55))) (let ((_let_82 (tptp.multiplication _let_18 tptp.one))) (let ((_let_83 (= _let_18 _let_82))) (let ((_let_84 (= _let_18 _let_61))) (let ((_let_85 (= tptp.zero _let_52))) (let ((_let_86 (= _let_18 _let_73))) (let ((_let_87 (= _let_18 _let_53))) (let ((_let_88 (= _let_71 _let_64))) (let ((_let_89 (= _let_46 (tptp.addition _let_46 tptp.zero)))) (let ((_let_90 (= _let_58 (tptp.addition _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_91 (= _let_47 _let_43))) (let ((_let_92 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_93 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_77))) (let ((_let_94 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_95 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_94) (tptp.addition _let_46 _let_46)))) (let ((_let_96 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_97 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_96))) (let ((_let_98 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_94))) (let ((_let_99 (_let_15))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_34 _let_35 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_38 false _let_15)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_20 _let_18 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_40 false _let_15)))) (let ((_let_103 (_let_16))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_19 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_103)) _let_104 :args (_let_42 false _let_16)))) (let ((_let_106 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_107 (= tptp.zero _let_106))) (let ((_let_108 (and _let_107 _let_67 _let_44))) (let ((_let_109 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_110 (= _let_109 _let_108))) (let ((_let_111 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_109))) (let ((_let_114 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_114))) (let ((_let_117 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_ENUM))) (let ((_let_118 (tptp.c _let_17))) (let ((_let_119 (tptp.leq _let_20 _let_118))) (let ((_let_120 (tptp.leq _let_118 _let_20))) (let ((_let_121 (and _let_120 _let_119))) (let ((_let_122 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_112 _let_121))) (let ((_let_125 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c (tptp.multiplication X0 X1)))) (let ((_let_2 (tptp.addition (tptp.c X0) (tptp.c X1)))) (or (not (tptp.test X1)) (not (tptp.test X0)) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1)))))))) (let ((_let_126 (not _let_124))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (or))) (let ((_let_129 (not _let_125))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_127) :args (_let_129))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_125))) (REFL :args (_let_126)) :args _let_128)) _let_127 :args (_let_126 true _let_125)))) (let ((_let_131 (REFL :args (_let_124)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or _let_108 (not _let_109) (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_109 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 1)) (CONG _let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_128)) :args ((or _let_111 _let_124))) _let_130 :args (_let_111 true _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_115 :args _let_117) :args _let_116))) _let_115 :args (_let_113 false _let_114)) :args (_let_109 false _let_111 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_31 :args (_let_110 false _let_30)) :args (_let_108 false _let_109 false _let_110)))) (let ((_let_133 (not _let_108))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 2)) :args ((or _let_44 _let_133))) _let_132 :args (_let_44 false _let_108)))) (let ((_let_135 (_let_9))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_ENUM)) :args _let_135)) _let_136 :args (_let_48 false _let_9)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_99)) _let_100 :args (_let_49 false _let_15)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_135)) _let_136 :args (_let_51 false _let_9)))) (let ((_let_140 (_let_8))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_18 tptp.zero _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_140)) _let_141 :args (_let_54 false _let_8)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_140)) _let_141 :args (_let_57 false _let_8)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_59 false _let_15)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.one _let_46 QUANTIFIERS_INST_ENUM)) :args _let_103)) _let_104 :args (_let_60 false _let_16)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_140)) _let_141 :args (_let_63 false _let_8)))) (let ((_let_147 (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_ENUM))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args _let_147) :args _let_140)) _let_141 :args (_let_65 false _let_8)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_99)) _let_100 :args (_let_66 false _let_15)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 1)) :args ((or _let_67 _let_133))) _let_132 :args (_let_67 false _let_108)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_69 false _let_15)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_18 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_103)) _let_104 :args (_let_70 false _let_16)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_140)) _let_141 :args (_let_72 false _let_8)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_18 _let_18 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99))) _let_100 :args (_let_75 false _let_15)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_18 _let_20 QUANTIFIERS_INST_ENUM)) :args _let_103)) _let_104 :args (_let_76 false _let_16)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_78 false _let_15)))) (let ((_let_157 (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_158 (= tptp.zero _let_157))) (let ((_let_159 (and _let_158 _let_81 _let_79))) (let ((_let_160 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_161 (= _let_160 _let_159))) (let ((_let_162 (or _let_123 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_let_80 false _let_381 false _let_79 false _let_380 false _let_78 false _let_378 false _let_70 false _let_69 false _let_377 false _let_67 false _let_107 false _let_376 false _let_60 false _let_59 false _let_57 false _let_54 false _let_49 false _let_48 false _let_44 false _let_42 false _let_374 false _let_373 false _let_372 false _let_369 false _let_367)))) (let ((_let_418 (not _let_22))) (let ((_let_419 (tptp.test _let_17))) (let ((_let_420 (= _let_419 _let_418))) (let ((_let_421 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_422 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_423 (tptp.complement _let_17 _let_20))) (let ((_let_424 (= _let_118 _let_20))) (let ((_let_425 (= _let_424 _let_423))) (let ((_let_426 (not _let_419))) (let ((_let_427 (or _let_426 _let_425))) (let ((_let_428 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_115 :args _let_33) :args _let_116))) _let_115 :args (_let_427 false _let_114)))) (let ((_let_429 (not _let_425))) (let ((_let_430 (tptp.addition _let_20 _let_17))) (let ((_let_431 (= tptp.one _let_430))) (let ((_let_432 (and _let_25 _let_27 _let_431))) (let ((_let_433 (= _let_423 _let_432))) (let ((_let_434 (_let_20 _let_17 QUANTIFIERS_INST_ENUM))) (let ((_let_435 (= _let_23 _let_430))) (let ((_let_436 (and _let_98 _let_97 _let_95 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_81 _let_80 _let_79 _let_78 _let_76 _let_75 _let_72 _let_70 _let_69 _let_44 _let_67 _let_66 _let_65 _let_63 _let_60 _let_59 _let_57 _let_54 _let_51 _let_49 _let_48 _let_42 _let_40 _let_435 _let_38))) (let ((_let_437 (ASSUME :args (_let_435)))) (let ((_let_438 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_433)) :args ((or _let_423 (not _let_432) (not _let_433)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_432)) _let_417 _let_364 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_436)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_437 _let_338) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_24)))) (SYMM (SYMM _let_437))) :args (_let_435 _let_24))) :args (_let_98 _let_97 _let_95 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_81 _let_80 _let_79 _let_78 _let_76 _let_75 _let_72 _let_70 _let_69 _let_44 _let_67 _let_66 _let_65 _let_63 _let_60 _let_59 _let_57 _let_54 _let_51 _let_49 _let_48 _let_42 _let_40 _let_435 _let_38))) :args (true _let_436)) :args ((or _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 (not _let_435) _let_431 _let_200))) _let_199 _let_198 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_185 _let_181 _let_177 _let_173 _let_168 _let_167 _let_166 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_146 _let_145 _let_144 _let_143 _let_142 _let_139 _let_138 _let_137 _let_134 _let_105 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_434) :args _let_103))) _let_104 :args (_let_435 false _let_16)) _let_101 :args (_let_431 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_86 false _let_85 false _let_84 false _let_83 false _let_81 false _let_80 false _let_79 false _let_78 false _let_76 false _let_75 false _let_72 false _let_70 false _let_69 false _let_67 false _let_66 false _let_65 false _let_63 false _let_60 false _let_59 false _let_57 false _let_54 false _let_51 false _let_49 false _let_48 false _let_44 false _let_42 false _let_40 false _let_435 false _let_38)) :args (_let_432 false _let_25 false _let_27 false _let_431)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_434) :args _let_32)) _let_31 :args (_let_433 false _let_30)) :args (_let_423 false _let_432 false _let_433)))) (let ((_let_439 (tptp.leq _let_20 _let_20))) (let ((_let_440 (not _let_424))) (let ((_let_441 (= _let_20 (tptp.addition _let_20 _let_20)))) (let ((_let_442 (= _let_441 _let_439))) (let ((_let_443 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_444 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_445 (_let_443))) (let ((_let_446 (_let_20 QUANTIFIERS_INST_ENUM))) (let ((_let_447 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args _let_446) :args _let_184)) _let_183 :args (_let_441 false _let_182)))) (let ((_let_448 (not _let_441))) (let ((_let_449 (not _let_119))) (let ((_let_450 (tptp.addition _let_118 _let_20))) (let ((_let_451 (= _let_20 _let_450))) (let ((_let_452 (= _let_120 _let_451))) (let ((_let_453 (= _let_450 (tptp.addition _let_20 _let_118)))) (let ((_let_454 (= tptp.zero _let_118))) (let ((_let_455 (or _let_419 _let_454))) (let ((_let_456 (= _let_20 (tptp.addition _let_20 tptp.zero)))) (let ((_let_457 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_118 _let_20 QUANTIFIERS_INST_ENUM)) :args _let_103)) _let_104 :args (_let_453 false _let_16)))) (let ((_let_458 (not _let_453))) (let ((_let_459 (and _let_424 _let_441 _let_453))) (let ((_let_460 (ASSUME :args (_let_453)))) (let ((_let_461 (SYMM _let_460))) (let ((_let_462 (ASSUME :args (_let_424)))) (let ((_let_463 (SYMM _let_462))) (let ((_let_464 (ASSUME :args (_let_441)))) (let ((_let_465 (REORDERING (CNF_EQUIV_POS2 :args (_let_425)) :args ((or _let_424 (not _let_423) _let_429))))) (let ((_let_466 (REORDERING (CNF_OR_POS :args (_let_427)) :args ((or _let_426 _let_425 (not _let_427)))))) (let ((_let_467 (forall ((X0 $$unsorted)) (or (tptp.test X0) (= tptp.zero (tptp.c X0)))))) (let ((_let_468 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_469 (and _let_454 _let_456 _let_453))) (let ((_let_470 (ASSUME :args (_let_454)))) (let ((_let_471 (ASSUME :args (_let_456)))) (let ((_let_472 (not _let_439))) (let ((_let_473 (ASSUME :args (_let_439)))) (let ((_let_474 (ASSUME :args (_let_449)))) (let ((_let_475 (not _let_420))) (let ((_let_476 (_let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_476) :args (_let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_476)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_420)) (CONG (REFL :args (_let_475)) (REFL :args (_let_419)) (MACRO_SR_PRED_INTRO :args ((= (not _let_418) _let_22))) :args _let_128)) :args ((or _let_419 _let_22 _let_475))) (MACRO_RESOLUTION_TRUST _let_466 (MACRO_RESOLUTION_TRUST _let_465 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_473 _let_462 _let_474) :args (_let_449 _let_424 _let_439)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_474)) (CONG _let_246 (SYMM _let_463) :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_473))) :args (_let_439 _let_424 _let_449)) :args ((not (and _let_449 _let_424 _let_439)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_449) _let_119))) (REFL :args (_let_440)) (REFL :args (_let_472)) :args _let_128)) :args ((or _let_119 _let_472 _let_440))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_121)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_124 2)) _let_130 :args ((not _let_121) true _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_452)) :args ((or _let_120 (not _let_451) (not _let_452)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_469)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_460 _let_470 _let_471) (SCOPE (TRANS (SYMM (SYMM _let_471)) (CONG _let_246 (SYMM (SYMM _let_470)) :args _let_239) _let_461) :args (_let_453 _let_454 _let_456))) :args (_let_454 _let_456 _let_453))) :args (true _let_469)) :args ((or (not _let_454) _let_451 (not _let_456) _let_458))) _let_457 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args _let_446) :args _let_188)) _let_187 :args (_let_456 false _let_186)) (REORDERING (CNF_OR_POS :args (_let_455)) :args ((or _let_419 _let_454 (not _let_455)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args _let_388) :args (_let_467))) _let_468 :args (_let_455 false _let_467)) _let_466 _let_428 _let_465 _let_438 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_459)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_460 _let_462 _let_464) (SCOPE (TRANS (SYMM (SYMM _let_464)) (CONG _let_246 _let_463 :args _let_239) _let_461) :args (_let_453 _let_424 _let_441))) :args (_let_424 _let_441 _let_453))) :args (true _let_459)) :args ((or _let_451 _let_448 _let_458 _let_440))) _let_457 _let_447 :args (_let_451 false _let_453 false _let_456 false _let_454 false _let_455 true _let_419 false _let_427 true _let_425 false _let_423 true _let_424 false _let_453 false _let_441)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_444 :args (_let_118 _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_445)) _let_444 :args (_let_452 false _let_443)) :args (_let_120 false _let_451 false _let_452)) :args (_let_449 true _let_121 false _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_442)) :args ((or _let_448 _let_439 (not _let_442)))) _let_447 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_444 :args (_let_20 _let_20 QUANTIFIERS_INST_ENUM)) :args _let_445))) _let_444 :args (_let_442 false _let_443)) :args (_let_439 false _let_441 false _let_442)) :args (_let_440 true _let_119 false _let_439)) _let_438 :args (_let_429 true _let_424 false _let_423)) _let_428 :args (_let_426 true _let_425 false _let_427)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args _let_388) :args (_let_421))) _let_422 :args (_let_420 false _let_421)) :args (_let_22 true _let_419 false _let_420)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_29)) :args ((or _let_21 (not _let_28) (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_28)) :args ((or (not _let_25) (not _let_27) _let_28 (not _let_24)))) _let_417 _let_364 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_238)) (IMPLIES_ELIM (SCOPE _let_338 :args (_let_98 _let_97 _let_95 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_81 _let_80 _let_79 _let_78 _let_76 _let_75 _let_72 _let_70 _let_69 _let_44 _let_67 _let_66 _let_65 _let_63 _let_60 _let_59 _let_57 _let_54 _let_51 _let_49 _let_48 _let_42 _let_40 _let_38))) :args (true _let_238)) :args ((or _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_24 _let_200))) _let_199 _let_198 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_185 _let_181 _let_177 _let_173 _let_168 _let_167 _let_166 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_146 _let_145 _let_144 _let_143 _let_142 _let_139 _let_138 _let_137 _let_134 _let_105 _let_102 _let_101 :args (_let_24 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_86 false _let_85 false _let_84 false _let_83 false _let_81 false _let_80 false _let_79 false _let_78 false _let_76 false _let_75 false _let_72 false _let_70 false _let_69 false _let_67 false _let_66 false _let_65 false _let_63 false _let_60 false _let_59 false _let_57 false _let_54 false _let_51 false _let_49 false _let_48 false _let_44 false _let_42 false _let_40 false _let_38)) :args (_let_28 false _let_25 false _let_27 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_33) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_21 false _let_28 false _let_29)) :args (false false _let_22 false _let_21)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.22/13.43 )
% 13.22/13.43 % SZS output end Proof for KLE016+3
% 13.22/13.43 % cvc5---1.0.5 exiting
% 13.22/13.43 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------