TSTP Solution File: KLE032+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE032+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 05:26:59 EDT 2023
% Result : Theorem 26.69s 26.98s
% Output : Proof 26.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE032+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:19:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 26.69/26.98 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sS7UwTNTtO/cvc5---1.0.5_23748.p...
% 26.69/26.98 ------- get file name : TPTP file name is KLE032+1
% 26.69/26.98 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23748.smt2...
% 26.69/26.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.69/26.98 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.69/26.98 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.69/26.98 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.69/26.98 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.69/26.98 % SZS status Theorem for KLE032+1
% 26.69/26.98 % SZS output start Proof for KLE032+1
% 26.69/26.98 (
% 26.69/26.98 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.test X2) (tptp.test X1)) (tptp.ismeet (tptp.multiplication (tptp.multiplication X1 X2) X0) (tptp.multiplication X1 X0) (tptp.multiplication X2 X0))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeet X2 X0 X1) (and (tptp.leq X2 X0) (tptp.leq X2 X1) (forall ((X3 $$unsorted)) (=> (and (tptp.leq X3 X0) (tptp.leq X3 X1)) (tptp.leq X3 X2)))))))) (let ((_let_3 (forall ((X0 $$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) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_8 (forall ((A $$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_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22))) (let ((_let_24 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24))) (let ((_let_26 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (tptp.addition _let_27 _let_26))) (let ((_let_29 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (tptp.multiplication _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (= _let_30 _let_28))) (let ((_let_32 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero)))) (let ((_let_33 (= _let_27 (tptp.addition _let_27 tptp.zero)))) (let ((_let_34 (= _let_28 (tptp.addition _let_26 _let_27)))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (= tptp.zero _let_35))) (let ((_let_37 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (= tptp.one _let_37))) (let ((_let_39 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_40 (= tptp.one _let_39))) (let ((_let_41 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_42 (= (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_41))) (let ((_let_43 (tptp.addition tptp.one tptp.one))) (let ((_let_44 (= tptp.one _let_43))) (let ((_let_45 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_46 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_39) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_47 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_43) (tptp.addition _let_22 _let_22)))) (let ((_let_48 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_49 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_17))) (let ((_let_50 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_49) (tptp.addition _let_48 _let_18)))) (let ((_let_51 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_51))) (let ((_let_53 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_54 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_51))) (let ((_let_55 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_54) (tptp.addition _let_53 _let_52)))) (let ((_let_56 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_57 (= _let_37 _let_56))) (let ((_let_58 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_29))) (let ((_let_59 (= _let_58 (tptp.addition _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_60 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_61 (= tptp.zero _let_60))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_63 (= _let_53 (tptp.addition _let_53 tptp.zero)))) (let ((_let_64 (= (tptp.multiplication _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_26 _let_24)))) (let ((_let_65 (= (tptp.multiplication (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (tptp.addition _let_60 _let_48)))) (let ((_let_66 (= (tptp.multiplication _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_27 _let_35)))) (let ((_let_67 (= (tptp.multiplication _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_35 _let_30)))) (let ((_let_68 (= (tptp.multiplication _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (tptp.addition _let_53 _let_48)))) (let ((_let_69 (= _let_52 (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_70 (= _let_51 _let_54))) (let ((_let_71 (= _let_17 _let_49))) (let ((_let_72 (= _let_20 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_20)))) (let ((_let_73 (_let_12))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_78) :args _let_77)) _let_76 :args (_let_23 false _let_75)))) (let ((_let_80 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_84 (_let_8))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 (_let_16))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 ((tptp.addition B A)))) (let ((_let_94 (and (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_36 _let_38))) (let ((_let_95 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_96 (= _let_95 _let_94))) (let ((_let_97 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_97))) (let ((_let_100 ((tptp.complement X1 X0)))) (let ((_let_101 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_104 (= _let_103 _let_102))) (let ((_let_105 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 ((tptp.test X0)))) (let ((_let_109 (tptp.ismeet _let_20 _let_51 _let_17))) (let ((_let_110 (not _let_103))) (let ((_let_111 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110 _let_109))) (let ((_let_114 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.test X2)) (not (tptp.test X1)) (tptp.ismeet (tptp.multiplication (tptp.multiplication X1 X2) X0) (tptp.multiplication X1 X0) (tptp.multiplication X2 X0)))))) (let ((_let_115 (not _let_113))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (or))) (let ((_let_118 (not _let_114))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_116) :args (_let_118))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_114))) (REFL :args (_let_115)) :args _let_117)) _let_116 :args (_let_115 true _let_114)))) (let ((_let_120 (REFL :args (_let_113)))) (let ((_let_121 (not _let_95))) (let ((_let_122 (_let_102))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_96)) :args ((or _let_121 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_122)) :args _let_122) (REWRITE :args ((=> _let_102 (not _let_121)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) (REFL :args (_let_95)) :args _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_110 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 1)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_103))) :args _let_117)) :args ((or _let_103 _let_113))) _let_119 :args (_let_103 true _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_104 false _let_105)) :args (_let_102 false _let_103 false _let_104)) :args (_let_95 true _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_96 false _let_97)) :args (_let_94 false _let_95 false _let_96)))) (let ((_let_124 (not _let_94))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 2)) :args ((or _let_38 _let_124))) _let_123 :args (_let_38 false _let_94)))) (let ((_let_126 (and (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_40))) (let ((_let_127 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_128 (= _let_127 _let_126))) (let ((_let_129 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_130 (not _let_129))) (let ((_let_131 (= _let_111 _let_130))) (let ((_let_132 (not _let_127))) (let ((_let_133 (_let_130))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 2)) :args ((or _let_40 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_128)) :args ((or _let_132 _let_126 (not _let_128)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_133)) :args _let_133) (REWRITE :args ((=> _let_130 (not _let_132)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_129))) (REFL :args (_let_127)) :args _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_131)) :args ((or _let_112 _let_130 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 0)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_117)) :args ((or _let_111 _let_113))) _let_119 :args (_let_111 true _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_131 false _let_105)) :args (_let_130 false _let_111 false _let_131)) :args (_let_127 true _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_128 false _let_97)) :args (_let_126 false _let_127 false _let_128)) :args (_let_40 false _let_126)))) (let ((_let_135 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_137)) _let_136 :args (_let_44 false _let_135)))) (let ((_let_139 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (_let_139))) (let ((_let_142 (_let_15))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_142)) _let_143 :args (_let_46 false _let_15)))) (let ((_let_145 (_let_9))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_145)) _let_146 :args (_let_47 false _let_9)))) (let ((_let_148 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_149 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_150 (tptp.leq 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_let_249 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (SYMM (SYMM _let_251)) :args _let_185) (SYMM (SYMM _let_250)) (CONG (REFL :args (_let_53)) (TRANS (SYMM _let_249) _let_247 (SYMM _let_244)) :args _let_187) (SYMM _let_243))) (REFL :args (_let_48)) :args _let_187) (SYMM _let_242) (CONG _let_241 _let_239 :args _let_185) (SYMM _let_238)) (SYMM _let_237) :args _let_187)) :args (_let_62 _let_38 _let_57 _let_68 _let_63 _let_45 _let_36 _let_69 _let_55 _let_70 _let_61 _let_65 _let_25 _let_40 _let_23 _let_44 _let_47 _let_46 _let_64 _let_66 _let_32 _let_33 _let_34 _let_31 _let_67 _let_59 _let_42 _let_21 _let_50 _let_71))) :args (_let_21 _let_23 _let_25 _let_31 _let_32 _let_33 _let_34 _let_70 _let_71 _let_36 _let_38 _let_40 _let_45 _let_42 _let_44 _let_46 _let_47 _let_50 _let_55 _let_57 _let_59 _let_61 _let_62 _let_63 _let_64 _let_65 _let_66 _let_67 _let_68 _let_69))) :args (true _let_236)) :args ((or (not _let_21) _let_209 (not _let_25) (not _let_31) (not _let_32) (not _let_33) _let_72 (not _let_34) (not _let_70) (not _let_71) (not _let_36) _let_182 _let_208 (not _let_45) (not _let_42) _let_207 _let_206 _let_205 (not _let_50) (not _let_55) (not _let_57) (not _let_59) (not _let_61) (not _let_62) (not _let_63) (not _let_64) (not _let_65) (not _let_66) (not _let_67) (not _let_68) (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_234)) :args ((or _let_156 _let_235 (not _let_234)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_160 2)) _let_231 :args ((not _let_156) true _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_155)) :args _let_154)) _let_153 :args (_let_234 false _let_152)) :args (_let_235 true _let_156 false _let_234)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_233)) :args ((or _let_158 _let_71 (not _let_233)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_160 1)) (CONG _let_232 (MACRO_SR_PRED_INTRO :args ((= (not _let_158) _let_157))) :args _let_117)) :args ((or _let_157 _let_160))) _let_231 :args (_let_157 true _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_155)) :args _let_154)) _let_153 :args (_let_233 false _let_152)) :args (_let_71 false _let_157 false _let_233)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_151)) :args ((or _let_159 _let_70 (not _let_151)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_160 0)) (CONG _let_232 (MACRO_SR_PRED_INTRO :args ((= (not _let_159) _let_150))) :args _let_117)) :args ((or _let_150 _let_160))) _let_231 :args (_let_150 true _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_155)) :args _let_154)) _let_153 :args (_let_151 false _let_152)) :args (_let_70 false _let_150 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_73)) _let_74 :args (_let_69 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_68 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_67 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_66 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_65 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_64 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_53 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90)) _let_89 :args (_let_63 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_149) :args _let_82)) _let_81 :args (_let_62 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_149) :args _let_141)) _let_140 :args (_let_61 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_142)) _let_143 :args (_let_59 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91))) _let_92 :args (_let_57 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_51 QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_145)) _let_146 :args (_let_55 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_17 QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_145)) _let_146 :args (_let_50 false _let_9)) _let_147 _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_141)) _let_140 :args (_let_45 false _let_139)) _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_91)) _let_92 :args (_let_42 false _let_16)) _let_134 _let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 1)) :args ((or _let_36 _let_124))) _let_123 :args (_let_36 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_26 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91))) _let_92 :args (_let_34 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90)) _let_89 :args (_let_33 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_86))) _let_87 :args (_let_32 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_31 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_83) :args _let_82)) _let_81 :args (_let_25 false _let_80)) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_73))) _let_74 :args (_let_21 false _let_12)) :args (false true _let_72 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_59 false _let_57 false _let_55 false _let_50 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_34 false _let_33 false _let_32 false _let_31 false _let_25 false _let_23 false _let_21)) :args (_let_16 _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 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))) (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeetu X2 X0 X1) (forall ((X3 $$unsorted)) (= (and (tptp.leq X3 X0) (tptp.leq X3 X1)) (tptp.leq X3 X2))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.69/26.98 )
% 26.69/26.98 % SZS output end Proof for KLE032+1
% 26.69/26.98 % cvc5---1.0.5 exiting
% 26.69/26.98 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------