TSTP Solution File: KLE031+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE031+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 102.14s 102.46s
% Output : Proof 102.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE031+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:28:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 102.14/102.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xz0P16anWY/cvc5---1.0.5_10293.p...
% 102.14/102.46 ------- get file name : TPTP file name is KLE031+1
% 102.14/102.46 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10293.smt2...
% 102.14/102.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 102.14/102.46 --- Run --no-e-matching --full-saturate-quant at 5...
% 102.14/102.46 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 102.14/102.46 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 102.14/102.46 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 102.14/102.46 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 102.14/102.46 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 102.14/102.46 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 102.14/102.46 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 102.14/102.46 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 102.14/102.46 --- Run --relevant-triggers --full-saturate-quant at 5...
% 102.14/102.46 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 102.14/102.46 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 102.14/102.46 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 102.14/102.46 --- Run --no-cbqi --full-saturate-quant at 10...
% 102.14/102.46 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 102.14/102.46 % SZS status Theorem for KLE031+1
% 102.14/102.46 % SZS output start Proof for KLE031+1
% 102.14/102.46 (
% 102.14/102.46 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (=> (and (tptp.test X3) (tptp.ismeet X0 X1 X2)) (tptp.ismeet (tptp.multiplication X3 X0) (tptp.multiplication X3 X1) (tptp.multiplication X3 X2))))))) (let ((_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 ((_let_3 (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_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 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_17 (= tptp.zero _let_16))) (let ((_let_18 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (= tptp.one _let_18))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_20))) (let ((_let_22 (= _let_20 _let_21))) (let ((_let_23 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_23 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_23)))) (let ((_let_25 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (= _let_18 _let_25))) (let ((_let_27 (tptp.addition _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_28 (= _let_21 _let_27))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_30 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.zero))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_30))) (let ((_let_32 (tptp.addition _let_23 tptp.zero))) (let ((_let_33 (= _let_23 _let_32))) (let ((_let_34 (= _let_30 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_35 (= _let_32 (tptp.addition tptp.zero _let_23)))) (let ((_let_36 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_20))) (let ((_let_37 (= _let_36 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_38 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_39 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (tptp.addition _let_39 _let_23))) (let ((_let_41 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_41) _let_40))) (let ((_let_43 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_44 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_27) (tptp.addition _let_36 _let_43)))) (let ((_let_45 (tptp.addition _let_43 _let_39))) (let ((_let_46 (= (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_45))) (let ((_let_47 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41))) (let ((_let_49 (= (tptp.addition tptp.zero _let_45) (tptp.addition (tptp.addition tptp.zero _let_43) _let_39)))) (let ((_let_50 (= (tptp.addition tptp.zero _let_40) (tptp.addition (tptp.addition tptp.zero _let_39) _let_23)))) (let ((_let_51 (not _let_19))) (let ((_let_52 (not _let_17))) (let ((_let_53 (not _let_22))) (let ((_let_54 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_55 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_54))) (let ((_let_56 (= _let_54 _let_55))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_53 _let_24))) (let ((_let_59 (tptp.addition _let_23 _let_20))) (let ((_let_60 (= _let_20 _let_59))) (let ((_let_61 (tptp.addition _let_23 _let_54))) (let ((_let_62 (= _let_54 _let_61))) (let ((_let_63 (and _let_62 _let_60 _let_58))) (let ((_let_64 (forall ((X3 $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_66))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_70 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_69))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_68 _let_65 _let_63 (not (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) _let_52 _let_51))) (let ((_let_73 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (BOUND_VARIABLE_1128 $$unsorted) (BOUND_VARIABLE_1116 $$unsorted)) (let ((_let_1 (tptp.multiplication X3 X0))) (let ((_let_2 (tptp.multiplication X3 X2))) (let ((_let_3 (tptp.multiplication X3 X1))) (or (not (= X1 (tptp.addition X0 X1))) (not (= X2 (tptp.addition X0 X2))) (not (forall ((X3 $$unsorted)) (or (not (= X1 (tptp.addition X3 X1))) (not (= X2 (tptp.addition X3 X2))) (= X0 (tptp.addition X3 X0))))) (and (= _let_3 (tptp.addition _let_1 _let_3)) (= _let_2 (tptp.addition _let_1 _let_2)) (or (not (= _let_3 (tptp.addition BOUND_VARIABLE_1128 _let_3))) (not (= _let_2 (tptp.addition BOUND_VARIABLE_1128 _let_2))) (= _let_1 (tptp.addition BOUND_VARIABLE_1128 _let_1)))) (not (= tptp.zero (tptp.multiplication X3 BOUND_VARIABLE_1116))) (not (= tptp.zero (tptp.multiplication BOUND_VARIABLE_1116 X3))) (not (= tptp.one (tptp.addition X3 BOUND_VARIABLE_1116)))))))))) (let ((_let_74 (not _let_72))) (let ((_let_75 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.leq (lambda ((BOUND_VARIABLE_830 $$unsorted) (BOUND_VARIABLE_831 $$unsorted)) (= BOUND_VARIABLE_831 (tptp.addition BOUND_VARIABLE_830 BOUND_VARIABLE_831)))))))) (let ((_let_76 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.test (lambda ((BOUND_VARIABLE_840 $$unsorted)) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 BOUND_VARIABLE_840)))))))))) (let ((_let_77 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.complement (lambda ((BOUND_VARIABLE_849 $$unsorted) (BOUND_VARIABLE_850 $$unsorted)) (and (= tptp.zero (tptp.multiplication BOUND_VARIABLE_850 BOUND_VARIABLE_849)) (= tptp.zero (tptp.multiplication BOUND_VARIABLE_849 BOUND_VARIABLE_850)) (= tptp.one (tptp.addition BOUND_VARIABLE_850 BOUND_VARIABLE_849))))))))) (let ((_let_78 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_77 _let_76 _let_75) :args ((forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeet X2 X0 X1) (and (tptp.leq X2 X0) (tptp.leq X2 X1) (forall ((X3 $$unsorted)) (or (not (tptp.leq X3 X0)) (not (tptp.leq X3 X1)) (tptp.leq X3 X2)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.ismeet (lambda ((BOUND_VARIABLE_980 $$unsorted) (BOUND_VARIABLE_981 $$unsorted) (BOUND_VARIABLE_982 $$unsorted)) (and (= BOUND_VARIABLE_981 (tptp.addition BOUND_VARIABLE_980 BOUND_VARIABLE_981)) (= BOUND_VARIABLE_982 (tptp.addition BOUND_VARIABLE_980 BOUND_VARIABLE_982)) (forall ((X3 $$unsorted)) (or (not (= BOUND_VARIABLE_981 (tptp.addition X3 BOUND_VARIABLE_981))) (not (= BOUND_VARIABLE_982 (tptp.addition X3 BOUND_VARIABLE_982))) (= BOUND_VARIABLE_980 (tptp.addition X3 BOUND_VARIABLE_980))))))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_78 _let_77 _let_76 _let_75) :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.ismeetu (lambda ((BOUND_VARIABLE_1028 $$unsorted) (BOUND_VARIABLE_1029 $$unsorted) (BOUND_VARIABLE_1030 $$unsorted)) (forall ((X3 $$unsorted)) (= (= BOUND_VARIABLE_1028 (tptp.addition X3 BOUND_VARIABLE_1028)) (and (= BOUND_VARIABLE_1029 (tptp.addition X3 BOUND_VARIABLE_1029)) (= BOUND_VARIABLE_1030 (tptp.addition X3 BOUND_VARIABLE_1030))))))))) _let_78 _let_77 _let_76 _let_75) :args ((not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.test X3)) (not (tptp.ismeet X0 X1 X2)) (tptp.ismeet (tptp.multiplication X3 X0) (tptp.multiplication X3 X1) (tptp.multiplication X3 X2))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_80 (or))) (let ((_let_81 (not _let_73))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_79) :args (_let_81))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_73))) (REFL :args (_let_74)) :args _let_80)) _let_79 :args (_let_74 true _let_73)))) (let ((_let_83 (REFL :args (_let_72)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 6)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_19))) :args _let_80)) :args ((or _let_19 _let_72))) _let_82 :args (_let_19 true _let_72)))) (let ((_let_85 (= _let_59 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_66)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 1)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_80)) :args ((or _let_67 _let_72))) _let_82 :args (_let_67 true _let_72)))) (let ((_let_87 (_let_9))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (and _let_67 _let_85))) (let ((_let_90 (ASSUME :args (_let_85)))) (let ((_let_91 (APPLY_UF tptp.multiplication))) (let ((_let_92 (ASSUME :args (_let_67)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_95 (= _let_61 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_69)))) (let ((_let_96 (and _let_70 _let_95))) (let ((_let_97 (ASSUME :args (_let_95)))) (let ((_let_98 (ASSUME :args (_let_70)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_63)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_72 3)) _let_82 :args ((not _let_63) true _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_97 _let_98) (SCOPE (TRANS (CONG _let_94 (SYMM (SYMM _let_98)) :args _let_91) (SYMM _let_97)) :args (_let_95 _let_70))) :args (_let_70 _let_95))) :args (true _let_96)) :args ((or _let_71 _let_62 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_87))) _let_88 :args (_let_95 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 0)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_80)) :args ((or _let_70 _let_72))) _let_82 :args (_let_70 true _let_72)) :args (_let_62 false _let_95 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_92) (SCOPE (TRANS (CONG _let_94 (SYMM _let_93) :args _let_91) (SYMM _let_90)) :args (_let_85 _let_67))) :args (_let_67 _let_85))) :args (true _let_89)) :args ((or _let_68 _let_60 (not _let_85)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_87))) _let_88 :args (_let_85 false _let_9)) _let_86 :args (_let_60 false _let_85 false _let_67)) :args ((not _let_58) true _let_63 false _let_62 false _let_60)))) (let ((_let_100 (REFL :args (_let_58)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 1)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_22))) :args _let_80)) :args ((or _let_22 _let_58))) _let_99 :args (_let_22 true _let_58)))) (let ((_let_102 (not _let_24))) (let ((_let_103 (_let_15))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.addition A B)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_26 false _let_15)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_28 false _let_15)))) (let ((_let_108 (forall ((A $$unsorted)) (= 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) :args _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 2)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_80)) :args ((or _let_64 _let_72))) _let_82 :args (_let_64 true _let_72)) :args (_let_132 false _let_64)) :args (_let_48 false _let_130 false _let_128 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_111) :args _let_126)) _let_125 :args (_let_47 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_122)) _let_123 :args (_let_46 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_87)) _let_88 :args (_let_44 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_87)) _let_88 :args (_let_42 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_120) :args (_let_118))) _let_119 :args (_let_38 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args _let_117) :args _let_115)) _let_116 :args (_let_37 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_23 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_35 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_34 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_23 QUANTIFIERS_INST_CBQI_PROP)) :args _let_114)) _let_113 :args (_let_33 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_111) :args _let_114)) _let_113 :args (_let_31 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args _let_111) :args _let_110)) _let_109 :args (_let_29 false _let_108)) _let_107 _let_106 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 2)) _let_99 :args (_let_102 true _let_58)) _let_101 _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 5)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_17))) :args _let_80)) :args ((or _let_17 _let_72))) _let_82 :args (_let_17 true _let_72)) :args (false false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_44 false _let_42 false _let_38 false _let_37 false _let_35 false _let_34 false _let_33 false _let_31 false _let_29 false _let_28 false _let_26 true _let_24 false _let_22 false _let_19 false _let_17)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_10 _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_7 _let_6 _let_5 _let_4 (forall ((X0 $$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_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 102.14/102.47 )
% 102.14/102.47 % SZS output end Proof for KLE031+1
% 102.14/102.47 % cvc5---1.0.5 exiting
% 102.14/102.47 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------