TSTP Solution File: KLE025+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE025+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 05:26:56 EDT 2023
% Result : Theorem 11.38s 11.59s
% Output : Proof 11.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE025+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n002.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 12:33:35 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 11.38/11.59 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.04ncnDjjbk/cvc5---1.0.5_14804.p...
% 11.38/11.59 ------- get file name : TPTP file name is KLE025+1
% 11.38/11.59 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14804.smt2...
% 11.38/11.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.38/11.59 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.38/11.59 % SZS status Theorem for KLE025+1
% 11.38/11.59 % SZS output start Proof for KLE025+1
% 11.38/11.59 (
% 11.38/11.59 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication X1 X0))) (=> (and (tptp.test X1) (tptp.test X2)) (=> (= (tptp.multiplication _let_1 (tptp.c X2)) tptp.zero) (= _let_1 (tptp.multiplication _let_1 X2))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_7 (forall ((A $$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)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_11 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (= tptp.zero (tptp.multiplication _let_12 _let_11)))) (let ((_let_14 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (= _let_12 _let_14))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_19 (= tptp.zero _let_18))) (let ((_let_20 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero)))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21))) (let ((_let_23 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_24 (= tptp.one _let_23))) (let ((_let_25 (= _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_26 (tptp.multiplication _let_12 tptp.zero))) (let ((_let_27 (= (tptp.multiplication _let_12 _let_21) (tptp.addition _let_14 _let_26)))) (let ((_let_28 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16) (tptp.multiplication _let_12 tptp.one)))) (let ((_let_29 (= _let_26 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18)))) (let ((_let_30 (= (tptp.multiplication _let_12 _let_23) (tptp.addition _let_14 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))))) (let ((_let_31 (not _let_13))) (let ((_let_32 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_33 _let_31 _let_15))) (let ((_let_35 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication X1 X0))) (or (not (tptp.test X1)) (not (tptp.test X2)) (not (= tptp.zero (tptp.multiplication _let_1 (tptp.c X2)))) (= _let_1 (tptp.multiplication _let_1 X2))))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (or))) (let ((_let_39 (not _let_35))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_37) :args (_let_39))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_35))) (REFL :args (_let_36)) :args _let_38)) _let_37 :args (_let_36 true _let_35)))) (let ((_let_41 (REFL :args (_let_34)))) (let ((_let_42 (not _let_15))) (let ((_let_43 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_46 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_52 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_53 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_54 (and _let_53 _let_52 _let_24))) (let ((_let_55 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_56 (= _let_55 _let_54))) (let ((_let_57 (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_58 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_ENUM))) (let ((_let_61 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_62 (not _let_61))) (let ((_let_63 (= _let_32 _let_62))) (let ((_let_64 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_38)) :args ((or _let_32 _let_34))) _let_40 :args (_let_32 true _let_34)))) (let ((_let_67 (not _let_55))) (let ((_let_68 (_let_62))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or _let_67 _let_54 (not _let_56)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68) (REWRITE :args ((=> _let_62 (not _let_67)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) (REFL :args (_let_55)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_33 _let_62 (not _let_63)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_51) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_62 false _let_32 false _let_63)) :args (_let_55 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_60) :args _let_59)) _let_58 :args (_let_56 false _let_57)) :args (_let_54 false _let_55 false _let_56)))) (let ((_let_70 (not _let_54))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 2)) :args ((or _let_24 _let_70))) _let_69 :args (_let_24 false _let_54)))) (let ((_let_72 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_73 (= _let_72 _let_25))) (let ((_let_74 (or _let_33 _let_73))) (let ((_let_75 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_78 (= tptp.one _let_77))) (let ((_let_79 (and _let_52 _let_53 _let_78))) (let ((_let_80 (= _let_72 _let_79))) (let ((_let_81 (= _let_23 _let_77))) (let ((_let_82 (_let_10))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (and _let_81 _let_24))) (let ((_let_85 (_let_81 _let_24))) (let ((_let_86 (ASSUME :args (_let_81)))) (let ((_let_87 (ASSUME :args (_let_24)))) (let ((_let_88 (SYMM _let_87))) (let ((_let_89 (_let_6))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (_let_8))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (not _let_30))) (let ((_let_94 (_let_93))) (let ((_let_95 (ASSUME :args (_let_30)))) (let ((_let_96 (ASSUME :args (_let_42)))) (let ((_let_97 (APPLY_UF tptp.multiplication))) (let ((_let_98 (ASSUME :args (_let_22)))) (let ((_let_99 (REFL :args (_let_12)))) (let ((_let_100 (ASSUME :args (_let_27)))) (let ((_let_101 (ASSUME :args (_let_29)))) (let ((_let_102 (ASSUME :args (_let_19)))) (let ((_let_103 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_104 (ASSUME :args (_let_20)))) (let ((_let_105 (ASSUME :args (_let_13)))) (let ((_let_106 (ASSUME :args (_let_25)))) (let ((_let_107 (ASSUME :args (_let_17)))) (let ((_let_108 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_95 (MODUS_PONENS (AND_INTRO _let_107 _let_108 _let_87 _let_96 _let_98 _let_100 _let_101 _let_102 _let_104 _let_105 _let_106) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_99 _let_88 :args _let_97) (SYMM _let_108) (CONG _let_103 (SYMM _let_107) :args _let_97)) (TRANS (CONG (REFL :args (_let_14)) (TRANS (CONG _let_99 (SYMM _let_106) :args _let_97) (SYMM _let_105) (SYMM (SYMM _let_104)) (CONG _let_103 (SYMM (SYMM _let_102)) :args _let_97) (SYMM _let_101)) :args (APPLY_UF tptp.addition)) (SYMM _let_100) (CONG _let_99 (SYMM _let_98) :args _let_97)) :args (=)) (FALSE_INTRO _let_96))) :args (_let_17 _let_28 _let_24 _let_42 _let_22 _let_27 _let_29 _let_19 _let_20 _let_13 _let_25)))) :args (_let_13 _let_42 _let_17 _let_19 _let_20 _let_22 _let_25 _let_24 _let_27 _let_28 _let_29 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_94))) (TRUE_INTRO (SYMM (SYMM _let_95))))) :args (_let_30 _let_93)) :args ((not (and _let_13 _let_42 _let_17 _let_19 _let_20 _let_22 _let_25 _let_24 _let_27 _let_28 _let_29 _let_30)) SB_LITERAL))) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_15))) (REFL :args ((not _let_17))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_27))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args _let_94) :args _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_89)) _let_90 :args (_let_30 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_91))) _let_92 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_91)) _let_92 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_89)) _let_90 :args (_let_27 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_25 (not _let_72) (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_80)) :args ((or _let_72 (not _let_79) (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_79)) :args ((or (not _let_53) (not _let_52) _let_79 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 0)) :args ((or _let_53 _let_70))) _let_69 :args (_let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 1)) :args ((or _let_52 _let_70))) _let_69 :args (_let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_86 _let_87) (SCOPE (TRANS (SYMM _let_88) (SYMM (SYMM _let_86))) :args _let_85)) :args _let_85)) :args (true _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_60) :args _let_82)) _let_83 :args (_let_81 false _let_10)) _let_71 :args (_let_78 false _let_81 false _let_24)) :args (_let_79 false _let_53 false _let_52 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) _let_58 :args (_let_80 false _let_57)) :args (_let_72 false _let_79 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_33 _let_73 (not _let_74)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_60) :args (_let_75)))) _let_76 :args (_let_74 false _let_75)) :args (_let_73 false _let_32 false _let_74)) :args (_let_25 false _let_72 false _let_73)) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_51) :args (_let_49))) _let_50 :args (_let_22 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_48)) _let_47 :args (_let_20 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_45) :args _let_48)) _let_47 :args (_let_19 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_45) :args (_let_43))) _let_44 :args (_let_17 false _let_43)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 3)) _let_40 :args (_let_42 true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 2)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_13))) :args _let_38)) :args ((or _let_13 _let_34))) _let_40 :args (_let_13 true _let_34)) :args (false false _let_30 false _let_29 false _let_28 false _let_27 false _let_25 false _let_24 false _let_22 false _let_20 false _let_19 false _let_17 true _let_15 false _let_13)) :args (_let_10 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_9 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) _let_5 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.38/11.59 )
% 11.38/11.59 % SZS output end Proof for KLE025+1
% 11.38/11.59 % cvc5---1.0.5 exiting
% 11.38/11.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------