TSTP Solution File: KLE019+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE019+1 : 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 18.67s 18.89s
% Output : Proof 18.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE019+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 12:33:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 18.67/18.89 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.P93VAhZHwc/cvc5---1.0.5_31898.p...
% 18.67/18.89 ------- get file name : TPTP file name is KLE019+1
% 18.67/18.89 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31898.smt2...
% 18.67/18.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 18.67/18.89 --- Run --no-e-matching --full-saturate-quant at 5...
% 18.67/18.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 18.67/18.89 % SZS status Theorem for KLE019+1
% 18.67/18.89 % SZS output start Proof for KLE019+1
% 18.67/18.89 (
% 18.67/18.89 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1) (tptp.test X2)) (=> (tptp.leq X0 (tptp.addition X1 X2)) (tptp.leq (tptp.multiplication X0 (tptp.c X1)) X2))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((A $$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 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_10 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_12 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.multiplication tptp.zero _let_12))) (let ((_let_14 (= tptp.zero _let_13))) (let ((_let_15 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one)))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_20 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (= _let_15 _let_20))) (let ((_let_22 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.addition _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_26 (= _let_25 _let_23))) (let ((_let_27 (= _let_24 _let_25))) (let ((_let_28 (= _let_18 (tptp.addition _let_18 tptp.zero)))) (let ((_let_29 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_30 (= tptp.zero _let_29))) (let ((_let_31 (tptp.addition _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (= tptp.one _let_31))) (let ((_let_33 (tptp.multiplication _let_22 _let_12))) (let ((_let_34 (= _let_33 (tptp.addition _let_18 _let_29)))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12))) (let ((_let_36 (= (tptp.multiplication _let_24 _let_12) (tptp.addition _let_29 _let_35)))) (let ((_let_37 (= (tptp.multiplication _let_20 _let_12) (tptp.addition _let_13 _let_35)))) (let ((_let_38 (= (tptp.multiplication _let_23 _let_12) (tptp.addition _let_33 _let_35)))) (let ((_let_39 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (tptp.addition _let_35 _let_39))) (let ((_let_41 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_31) _let_40))) (let ((_let_42 (= (tptp.addition _let_18 _let_40) (tptp.addition (tptp.addition _let_18 _let_35) _let_39)))) (let ((_let_43 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.leq _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (= _let_51 _let_19))) (let ((_let_53 (not _let_19))) (let ((_let_54 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_60 (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_58 _let_51))) (let ((_let_62 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (not (tptp.test X2)) (not (tptp.leq X0 (tptp.addition X1 X2))) (tptp.leq (tptp.multiplication X0 (tptp.c X1)) X2))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (or))) (let ((_let_66 (not _let_62))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_64) :args (_let_66))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_62))) (REFL :args (_let_63)) :args _let_65)) _let_64 :args (_let_63 true _let_62)))) (let ((_let_68 (_let_11))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_10))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (= _let_57 _let_27))) (let ((_let_73 (REFL :args (_let_61)))) (let ((_let_74 (and (= tptp.zero (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_30 _let_32))) (let ((_let_75 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_76 (= _let_75 _let_74))) (let ((_let_77 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (or _let_60 _let_75))) (let ((_let_80 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_74 (not _let_75) (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_60 _let_75 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_65)) :args ((or _let_59 _let_61))) _let_67 :args (_let_59 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_80)))) _let_81 :args (_let_79 false _let_80)) :args (_let_75 false _let_59 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_74 false _let_75 false _let_76)))) (let ((_let_83 (not _let_74))) (let ((_let_84 (_let_6))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (_let_7))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (not _let_42))) (let ((_let_89 (_let_88))) (let ((_let_90 (ASSUME :args (_let_42)))) (let ((_let_91 (ASSUME :args (_let_53)))) (let ((_let_92 (APPLY_UF tptp.addition))) (let ((_let_93 (ASSUME :args (_let_17)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (APPLY_UF tptp.multiplication))) (let ((_let_96 (ASSUME :args (_let_32)))) (let ((_let_97 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (SYMM _let_96) :args _let_95))) (let ((_let_98 (ASSUME :args (_let_41)))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (REFL :args (_let_18)))) (let ((_let_101 (REFL :args (_let_12)))) (let ((_let_102 (ASSUME :args (_let_16)))) (let ((_let_103 (ASSUME :args (_let_21)))) (let ((_let_104 (ASSUME :args (_let_37)))) (let ((_let_105 (REFL :args (_let_35)))) (let ((_let_106 (ASSUME :args (_let_14)))) (let ((_let_107 (ASSUME :args (_let_30)))) (let ((_let_108 (ASSUME :args (_let_36)))) (let ((_let_109 (ASSUME :args (_let_27)))) (let ((_let_110 (ASSUME :args (_let_26)))) (let ((_let_111 (ASSUME :args (_let_38)))) (let ((_let_112 (ASSUME :args (_let_34)))) (let ((_let_113 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_90 (MODUS_PONENS (AND_INTRO _let_93 _let_96 _let_98 _let_102 _let_103 _let_104 _let_106 _let_107 _let_108 _let_109 _let_110 _let_111 _let_112 _let_113 _let_91) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (CONG (TRANS (SYMM (SYMM _let_113)) (CONG _let_100 _let_107 :args _let_92) (SYMM _let_112)) _let_105 :args _let_92) (SYMM _let_111) (CONG (TRANS (SYMM _let_110) (SYMM _let_109)) _let_101 :args _let_95) (SYMM (SYMM _let_108)) (CONG (TRANS (SYMM _let_107) (SYMM (SYMM _let_106))) _let_105 :args _let_92) (SYMM _let_104) (CONG (TRANS (SYMM _let_103) (SYMM _let_102)) _let_101 :args _let_95)) (REFL :args (_let_39)) :args _let_92) _let_99 _let_97 _let_94) (CONG _let_100 (TRANS _let_99 _let_97 _let_94) :args _let_92) :args (=)) (FALSE_INTRO _let_91)) :args ((= _let_42 false)))) :args (_let_17 _let_32 _let_41 _let_16 _let_21 _let_37 _let_14 _let_30 _let_36 _let_27 _let_26 _let_38 _let_34 _let_28 _let_53)))) :args (_let_14 _let_16 _let_17 _let_53 _let_21 _let_26 _let_27 _let_28 _let_30 _let_32 _let_34 _let_36 _let_37 _let_38 _let_41 _let_42)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_89))) (TRUE_INTRO (SYMM (SYMM _let_90))))) :args (_let_42 _let_88)) :args ((not (and _let_14 _let_16 _let_17 _let_53 _let_21 _let_26 _let_27 _let_28 _let_30 _let_32 _let_34 _let_36 _let_37 _let_38 _let_41 _let_42)) SB_LITERAL))) (CONG (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_19))) (REFL :args ((not _let_21))) (REFL :args ((not _let_26))) (REFL :args ((not _let_27))) (REFL :args ((not _let_28))) (REFL :args ((not _let_30))) (REFL :args ((not _let_32))) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_37))) (REFL :args ((not _let_38))) (REFL :args ((not _let_41))) (REFL :args _let_89) :args _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_39 _let_35 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_70)) _let_71 :args (_let_42 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_86)) _let_87 :args (_let_41 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_38 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_37 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_36 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_34 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 2)) :args ((or _let_32 _let_83))) _let_82 :args (_let_32 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_30 _let_83))) _let_82 :args (_let_30 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_18 QUANTIFIERS_INST_ENUM)) :args _let_47)) _let_46 :args (_let_28 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_72)) :args ((or _let_58 _let_27 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 3)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_65)) :args ((or _let_57 _let_61))) _let_67 :args (_let_57 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_55 :args (_let_72 false _let_54)) :args (_let_27 false _let_57 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_70)) _let_71 :args (_let_26 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_68)) _let_69 :args (_let_21 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_52)) :args ((or _let_51 _let_53 (not _let_52)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 4)) _let_67 :args ((not _let_51) true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_55 :args (_let_52 false _let_54)) :args (_let_53 true _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_48) :args (_let_49))) _let_50 :args (_let_17 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_48) :args _let_47)) _let_46 :args (_let_16 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_12 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_43))) _let_44 :args (_let_14 false _let_43)) :args (false false _let_42 false _let_41 false _let_38 false _let_37 false _let_36 false _let_34 false _let_32 false _let_30 false _let_28 false _let_27 false _let_26 false _let_21 true _let_19 false _let_17 false _let_16 false _let_14)) :args (_let_11 _let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_5 _let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))) _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 18.67/18.89 )
% 18.67/18.89 % SZS output end Proof for KLE019+1
% 18.67/18.89 % cvc5---1.0.5 exiting
% 18.67/18.89 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------