TSTP Solution File: LCL274-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL274-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 07:01:28 EDT 2023

% Result   : Unsatisfiable 38.78s 39.07s
% Output   : Proof 38.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15  % Problem    : LCL274-3 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.16  % Command    : do_cvc5 %s %d
% 0.14/0.37  % Computer : n017.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri Aug 25 05:06:40 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.19/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1h6iAenJD8/cvc5---1.0.5_18224.p...
% 0.19/0.51  ------- get file name : TPTP file name is LCL274-3
% 0.19/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18224.smt2...
% 0.19/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.36/10.67  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.45/15.73  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.56/20.79  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.49/25.84  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.68/30.94  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.68/35.98  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 38.78/39.07  % SZS status Unsatisfiable for LCL274-3
% 38.78/39.07  % SZS output start Proof for LCL274-3
% 38.78/39.07  (
% 38.78/39.07  (let ((_let_1 (tptp.or tptp.q tptp.p))) (let ((_let_2 (tptp.or tptp.p tptp.q))) (let ((_let_3 (tptp.equivalent _let_2 _let_1))) (let ((_let_4 (tptp.theorem _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.equivalent P Q) (tptp.and (tptp.implies P Q) (tptp.implies Q P)))))) (let ((_let_7 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.and P Q) (tptp.not (tptp.or (tptp.not P) (tptp.not Q))))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_9 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_13 (tptp.implies _let_1 _let_2))) (let ((_let_14 (tptp.implies _let_2 _let_1))) (let ((_let_15 (tptp.and _let_14 _let_13))) (let ((_let_16 (= _let_3 _let_15))) (let ((_let_17 (tptp.not _let_13))) (let ((_let_18 (tptp.not _let_14))) (let ((_let_19 (tptp.or _let_18 _let_17))) (let ((_let_20 (tptp.not _let_19))) (let ((_let_21 (= _let_15 _let_20))) (let ((_let_22 (tptp.or _let_18 _let_20))) (let ((_let_23 (= _let_22 (tptp.implies _let_14 _let_20)))) (let ((_let_24 (tptp.theorem _let_22))) (let ((_let_25 (tptp.theorem (tptp.implies _let_14 _let_3)))) (let ((_let_26 (_let_6))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (_let_7))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (_let_10))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((tptp.or (tptp.not X) Y)))) (let ((_let_33 (tptp.or _let_20 _let_18))) (let ((_let_34 (tptp.theorem _let_33))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.implies _let_33 _let_22))) (let ((_let_37 (tptp.theorem _let_36))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_24 _let_38 _let_35))) (let ((_let_40 (_let_8))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.implies Y X)))) (let ((_let_43 (tptp.theorem _let_13))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.implies _let_13 _let_33))) (let ((_let_46 (tptp.theorem _let_45))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_34 _let_47 _let_44))) (let ((_let_49 (tptp.or _let_17 _let_33))) (let ((_let_50 (tptp.theorem _let_49))) (let ((_let_51 (= _let_49 _let_45))) (let ((_let_52 (tptp.or _let_17 _let_18))) (let ((_let_53 (tptp.or _let_20 _let_52))) (let ((_let_54 (tptp.theorem _let_53))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.implies _let_53 _let_49))) (let ((_let_57 (tptp.theorem _let_56))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_50 _let_58 _let_55))) (let ((_let_60 (tptp.axiom _let_56))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_57 _let_61))) (let ((_let_63 (_let_9))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((not (= (tptp.axiom X) false))))) (let ((_let_66 (_let_11))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (tptp.implies _let_19 _let_52))) (let ((_let_69 (= _let_68 _let_53))) (let ((_let_70 (tptp.theorem _let_68))) (let ((_let_71 (tptp.axiom _let_68))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_70 _let_72))) (let ((_let_74 (_let_12))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((tptp.or A B)))) (let ((_let_77 (and _let_69 _let_70))) (let ((_let_78 (ASSUME :args (_let_70)))) (let ((_let_79 (APPLY_UF tptp.theorem))) (let ((_let_80 (ASSUME :args (_let_69)))) (let ((_let_81 (and _let_51 _let_50))) (let ((_let_82 (ASSUME :args (_let_50)))) (let ((_let_83 (ASSUME :args (_let_51)))) (let ((_let_84 (tptp.axiom _let_13))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_43 _let_85))) (let ((_let_87 (tptp.axiom _let_36))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_37 _let_88))) (let ((_let_90 (tptp.theorem _let_14))) (let ((_let_91 (not _let_90))) (let ((_let_92 (not _let_25))) (let ((_let_93 (or _let_4 _let_92 _let_91))) (let ((_let_94 (tptp.axiom _let_14))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_90 _let_95))) (let ((_let_97 (not _let_23))) (let ((_let_98 (not _let_24))) (let ((_let_99 (not _let_21))) (let ((_let_100 (not _let_16))) (let ((_let_101 (ASSUME :args (_let_92)))) (let ((_let_102 (ASSUME :args (_let_16)))) (let ((_let_103 (ASSUME :args (_let_21)))) (let ((_let_104 (ASSUME :args (_let_23)))) (let ((_let_105 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_101 _let_102 _let_103 _let_104 _let_105) :args (_let_16 _let_21 _let_23 _let_24 _let_92)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_105)) (CONG (TRANS (SYMM (SYMM _let_104)) (CONG (REFL :args (_let_14)) (TRANS (SYMM _let_103) (SYMM _let_102)) :args (APPLY_UF tptp.implies))) :args _let_79) (FALSE_INTRO _let_101))) :args (_let_92 _let_16 _let_21 _let_23 _let_24)) :args ((not (and _let_16 _let_21 _let_23 _let_24 _let_92)) SB_LITERAL))) (CONG (REFL :args (_let_100)) (REFL :args (_let_99)) (REFL :args (_let_97)) (REFL :args (_let_98)) (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_25))) :args (or))) :args ((or _let_100 _let_99 _let_98 _let_97 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_4 _let_91 _let_92 (not _let_93)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_90 (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_94 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_96 false _let_9)) :args (_let_90 false _let_94 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_3 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_41 :args (_let_93 false _let_8)) :args (_let_92 true _let_4 false _let_90 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_24 _let_38 _let_35 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_37 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_20 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_87 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_89 false _let_9)) :args (_let_37 false _let_87 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_44 _let_34 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_43 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.q tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_84 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_86 false _let_9)) :args (_let_43 false _let_84 false _let_86)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_83) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_83) :args _let_79) (TRUE_INTRO _let_82))) :args (_let_50 _let_51))) :args (_let_51 _let_50))) :args (true _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_13 _let_33 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30))) _let_31 :args (_let_51 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_55 _let_50 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_80) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_80) :args _let_79) (TRUE_INTRO _let_78))) :args (_let_70 _let_69))) :args (_let_69 _let_70))) :args (true _let_77)) :args ((or (not _let_70) (not _let_69) _let_54))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_70 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_71 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_73 false _let_9)) :args (_let_70 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_19 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.implies X Y)))) :args _let_30)) _let_31 :args (_let_69 false _let_10)) :args (_let_54 false _let_70 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_57 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_20 _let_17 _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.or A (tptp.or B C))))) :args _let_66)) _let_67 :args (_let_60 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_62 false _let_9)) :args (_let_57 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_49 _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_59 false _let_8)) :args (_let_50 false _let_54 false _let_57 false _let_59)) :args (_let_46 false _let_51 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_33 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_48 false _let_8)) :args (_let_34 false _let_43 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_22 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_39 false _let_8)) :args (_let_24 false _let_37 false _let_34 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_14 _let_20 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30))) _let_31 :args (_let_23 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_14 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and P Q)))) :args _let_28)) _let_29 :args (_let_21 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equivalent P Q)))) :args _let_26)) _let_27 :args (_let_16 false _let_6)) :args (false true _let_25 false _let_24 false _let_23 false _let_21 false _let_16)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))) _let_12 _let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 38.78/39.07  )
% 38.78/39.09  % SZS output end Proof for LCL274-3
% 38.87/39.09  % cvc5---1.0.5 exiting
% 38.87/39.09  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------