TSTP Solution File: KLE007+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE007+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 05:26:47 EDT 2023
% Result : Theorem 0.65s 0.91s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE007+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n015.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 12:04:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.65/0.91 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lZWEmEdakj/cvc5---1.0.5_19975.p...
% 0.65/0.91 ------- get file name : TPTP file name is KLE007+3
% 0.65/0.91 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19975.smt2...
% 0.65/0.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.65/0.91 % SZS status Theorem for KLE007+3
% 0.65/0.91 % SZS output start Proof for KLE007+3
% 0.65/0.91 (
% 0.65/0.91 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition X0 (tptp.c X0)))) (=> (and (tptp.test X1) (tptp.test X0)) (= tptp.one (tptp.addition (tptp.multiplication _let_1 X1) (tptp.multiplication _let_1 (tptp.c X1)))))))))) (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) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_10 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_13 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.addition _let_13 (tptp.multiplication _let_12 _let_10)))) (let ((_let_15 (= tptp.one _let_14))) (let ((_let_16 (tptp.addition _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= _let_12 _let_16))) (let ((_let_18 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_19 (= _let_14 (tptp.multiplication _let_12 _let_18)))) (let ((_let_20 (tptp.addition _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_23 (= (tptp.multiplication _let_13 _let_12) (tptp.multiplication _let_12 _let_22)))) (let ((_let_24 (tptp.multiplication _let_18 _let_12))) (let ((_let_25 (= _let_24 (tptp.addition (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_18 _let_11))))) (let ((_let_26 (tptp.multiplication _let_10 _let_12))) (let ((_let_27 (tptp.addition _let_22 _let_26))) (let ((_let_28 (= _let_24 _let_27))) (let ((_let_29 (= tptp.one _let_16))) (let ((_let_30 (= _let_27 (tptp.addition _let_26 _let_22)))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_32 (= _let_18 (tptp.multiplication _let_18 tptp.one)))) (let ((_let_33 (= _let_10 (tptp.multiplication _let_10 tptp.one)))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_35 (= _let_18 (tptp.multiplication tptp.one _let_18)))) (let ((_let_36 (= tptp.one _let_20))) (let ((_let_37 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38 _let_15))) (let ((_let_42 (not _let_15))) (let ((_let_43 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition X0 (tptp.c X0)))) (or (not (tptp.test X1)) (not (tptp.test X0)) (= tptp.one (tptp.addition (tptp.multiplication _let_1 X1) (tptp.multiplication _let_1 (tptp.c X1))))))))) (let ((_let_44 (not _let_41))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (_let_9))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.addition A B)))) (let ((_let_52 (_let_5))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_8))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (_let_4))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (and (= tptp.zero (tptp.multiplication _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11)) _let_29))) (let ((_let_59 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_60 (= _let_59 _let_58))) (let ((_let_61 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 ((tptp.multiplication X0 X1)))) (let ((_let_65 (or _let_38 _let_59))) (let ((_let_66 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((tptp.complement X0 X1)))) (let ((_let_70 (REFL :args (_let_41)))) (let ((_let_71 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((tptp.multiplication A tptp.one)))) (let ((_let_75 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((tptp.multiplication tptp.one A)))) (let ((_let_79 (and (= tptp.zero (tptp.multiplication _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10)) _let_36))) (let ((_let_80 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_81 (= _let_80 _let_79))) (let ((_let_82 (or _let_40 _let_80))) (let ((_let_83 (not _let_35))) (let ((_let_84 (not _let_34))) (let ((_let_85 (not _let_33))) (let ((_let_86 (not _let_32))) (let ((_let_87 (not _let_31))) (let ((_let_88 (not _let_30))) (let ((_let_89 (not _let_36))) (let ((_let_90 (not _let_28))) (let ((_let_91 (not _let_25))) (let ((_let_92 (not _let_23))) (let ((_let_93 (not _let_29))) (let ((_let_94 (not _let_21))) (let ((_let_95 (not _let_19))) (let ((_let_96 (not _let_17))) (let ((_let_97 (and _let_42 _let_17 _let_19 _let_21 _let_29 _let_23 _let_25 _let_28 _let_30 _let_31 _let_32 _let_33 _let_34 _let_35))) (let ((_let_98 (ASSUME :args (_let_42)))) (let ((_let_99 (ASSUME :args (_let_21)))) (let ((_let_100 (ASSUME :args (_let_25)))) (let ((_let_101 (APPLY_UF tptp.multiplication))) (let ((_let_102 (ASSUME :args (_let_17)))) (let ((_let_103 (ASSUME :args (_let_29)))) (let ((_let_104 (TRANS (SYMM (SYMM _let_103)) (SYMM _let_102)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (REFL :args (_let_18)))) (let ((_let_107 (CONG _let_106 _let_105 :args _let_101))) (let ((_let_108 (ASSUME :args (_let_32)))) (let ((_let_109 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_104 :args _let_101))) (let ((_let_110 (ASSUME :args (_let_31)))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (ASSUME :args (_let_34)))) (let ((_let_113 (ASSUME :args (_let_23)))) (let ((_let_114 (ASSUME :args (_let_33)))) (let ((_let_115 (CONG (TRANS (SYMM (SYMM _let_114)) (CONG (REFL :args (_let_10)) _let_104 :args _let_101)) (TRANS (SYMM (SYMM _let_113)) (CONG _let_105 (TRANS (SYMM _let_109) _let_111) :args _let_101) (SYMM _let_112) (SYMM _let_111) _let_109) :args (APPLY_UF tptp.addition)))) (let ((_let_116 (ASSUME :args (_let_30)))) (let ((_let_117 (ASSUME :args (_let_28)))) (let ((_let_118 (ASSUME :args (_let_19)))) (let ((_let_119 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_118 _let_102 _let_103 _let_119 _let_108 _let_117 _let_116 _let_114 _let_110 _let_112 _let_113 _let_100 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.one)) (SYMM (TRANS (SYMM (TRANS _let_115 (SYMM _let_116) (SYMM _let_117) _let_107 (SYMM _let_108) (SYMM (SYMM _let_119)) (CONG _let_104 _let_106 :args _let_101) (SYMM _let_118))) (SYMM (TRANS (SYMM _let_100) _let_117 _let_116 (SYMM _let_115))) (SYMM (TRANS _let_108 (SYMM _let_107) _let_100)) _let_99)) :args (=)) (FALSE_INTRO _let_98))) :args (_let_42 _let_19 _let_17 _let_29 _let_35 _let_32 _let_28 _let_30 _let_33 _let_31 _let_34 _let_23 _let_25 _let_21))) :args (_let_42 _let_17 _let_19 _let_21 _let_29 _let_23 _let_25 _let_28 _let_30 _let_31 _let_32 _let_33 _let_34 _let_35))) :args (true _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_15))) (REFL :args (_let_96)) (REFL :args (_let_95)) (REFL :args (_let_94)) (REFL :args (_let_93)) (REFL :args (_let_92)) (REFL :args (_let_91)) (REFL :args (_let_90)) (REFL :args (_let_88)) (REFL :args (_let_87)) (REFL :args (_let_86)) (REFL :args (_let_85)) (REFL :args (_let_84)) (REFL :args (_let_83)) (REFL :args (_let_89)) :args _let_46)) :args ((or _let_15 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 2)) :args ((or _let_36 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or _let_79 (not _let_80) (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_40 _let_80 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_46)) :args ((or _let_39 _let_41))) _let_48 :args (_let_39 true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68))) _let_67 :args (_let_82 false _let_66)) :args (_let_80 false _let_39 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) _let_62 :args (_let_81 false _let_61)) :args (_let_79 false _let_80 false _let_81)) :args (_let_36 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_35 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_34 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_33 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_32 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_31 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_22 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_30 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 2)) :args ((or _let_29 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_58 (not _let_59) (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_38 _let_59 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 1)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_46)) :args ((or _let_37 _let_41))) _let_48 :args (_let_37 true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68))) _let_67 :args (_let_65 false _let_66)) :args (_let_59 false _let_37 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) _let_62 :args (_let_60 false _let_61)) :args (_let_58 false _let_59 false _let_60)) :args (_let_29 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_56)) _let_57 :args (_let_28 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_52)) _let_53 :args (_let_25 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_54))) _let_55 :args (_let_23 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_21 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_52))) _let_53 :args (_let_19 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_17 false _let_9)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_41 2)) _let_48 :args (_let_42 true _let_41)) :args (false false _let_36 false _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_25 false _let_23 false _let_21 false _let_19 false _let_17 true _let_15)) :args (_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))) _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.65/0.92 )
% 0.65/0.92 % SZS output end Proof for KLE007+3
% 0.65/0.92 % cvc5---1.0.5 exiting
% 0.65/0.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------