TSTP Solution File: LCL296-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL296-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 07:01:32 EDT 2023

% Result   : Unsatisfiable 42.92s 43.17s
% Output   : Proof 42.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL296-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 17:33:57 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.MtTqn7t6KJ/cvc5---1.0.5_29101.p...
% 0.19/0.48  ------- get file name : TPTP file name is LCL296-3
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29101.smt2...
% 0.19/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.39/10.65  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.50/15.71  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.57/20.78  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.55/25.81  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.65/30.89  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.71/35.94  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.84/41.07  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 42.92/43.17  % SZS status Unsatisfiable for LCL296-3
% 42.92/43.17  % SZS output start Proof for LCL296-3
% 42.92/43.18  (
% 42.92/43.18  (let ((_let_1 (tptp.not tptp.q))) (let ((_let_2 (tptp.not tptp.p))) (let ((_let_3 (tptp.or _let_2 _let_1))) (let ((_let_4 (tptp.implies tptp.p _let_1))) (let ((_let_5 (tptp.equivalent _let_4 _let_3))) (let ((_let_6 (tptp.theorem _let_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.equivalent P Q) (tptp.and (tptp.implies P Q) (tptp.implies Q P)))))) (let ((_let_9 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.and P Q) (tptp.not (tptp.or (tptp.not P) (tptp.not Q))))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_11 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_15 (forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))))) (let ((_let_16 (tptp.not _let_3))) (let ((_let_17 (tptp.or _let_16 _let_4))) (let ((_let_18 (tptp.implies _let_3 _let_4))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.or _let_1 _let_2))) (let ((_let_21 (tptp.or _let_16 _let_20))) (let ((_let_22 (tptp.implies _let_3 _let_20))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (tptp.implies _let_21 _let_17))) (let ((_let_25 (tptp.theorem _let_24))) (let ((_let_26 (tptp.theorem (tptp.implies _let_22 _let_18)))) (let ((_let_27 (_let_12))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((tptp.implies X Y)))) (let ((_let_30 (tptp.implies _let_20 _let_4))) (let ((_let_31 (tptp.theorem _let_30))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.implies _let_30 _let_24))) (let ((_let_34 (tptp.theorem _let_33))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_25 _let_35 _let_32))) (let ((_let_37 (_let_10))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.implies Y X)))) (let ((_let_40 (tptp.implies _let_20 _let_3))) (let ((_let_41 (tptp.theorem _let_40))) (let ((_let_42 (= _let_4 _let_3))) (let ((_let_43 (tptp.axiom _let_40))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_41 _let_44))) (let ((_let_46 (_let_11))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((not (= (tptp.axiom X) false))))) (let ((_let_49 (_let_14))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.p _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_27)) _let_28 :args (_let_42 false _let_12)))) (let ((_let_52 (and _let_42 _let_41))) (let ((_let_53 (ASSUME :args (_let_41)))) (let ((_let_54 (APPLY_UF tptp.theorem))) (let ((_let_55 (APPLY_UF tptp.implies))) (let ((_let_56 (ASSUME :args (_let_42)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (tptp.axiom _let_33))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_34 _let_59))) (let ((_let_61 (_let_13))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (tptp.theorem _let_22))) (let ((_let_64 (not _let_63))) (let ((_let_65 (not _let_26))) (let ((_let_66 (tptp.theorem _let_18))) (let ((_let_67 (or _let_66 _let_65 _let_64))) (let ((_let_68 (tptp.axiom _let_22))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_63 _let_69))) (let ((_let_71 ((tptp.or A B)))) (let ((_let_72 (not _let_66))) (let ((_let_73 (tptp.theorem (tptp.implies _let_18 _let_5)))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_6 _let_74 _let_72))) (let ((_let_76 (tptp.not _let_18))) (let ((_let_77 (tptp.or _let_76 _let_76))) (let ((_let_78 (tptp.not _let_77))) (let ((_let_79 (tptp.or _let_76 _let_78))) (let ((_let_80 (tptp.theorem _let_79))) (let ((_let_81 (= _let_79 (tptp.implies _let_18 _let_78)))) (let ((_let_82 (tptp.implies _let_4 _let_3))) (let ((_let_83 (tptp.and _let_82 _let_18))) (let ((_let_84 (= _let_83 (tptp.not (tptp.or (tptp.not _let_82) _let_76))))) (let ((_let_85 (= _let_5 _let_83))) (let ((_let_86 (tptp.or _let_78 _let_76))) (let ((_let_87 (tptp.theorem _let_86))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.implies _let_86 _let_79))) (let ((_let_90 (tptp.theorem _let_89))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_80 _let_91 _let_88))) (let ((_let_93 (tptp.implies _let_77 _let_76))) (let ((_let_94 (= _let_93 _let_86))) (let ((_let_95 (tptp.theorem _let_93))) (let ((_let_96 (tptp.axiom _let_93))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_95 _let_97))) (let ((_let_99 (_let_15))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (and _let_94 _let_95))) (let ((_let_102 (ASSUME :args (_let_95)))) (let ((_let_103 (ASSUME :args (_let_94)))) (let ((_let_104 (tptp.axiom _let_89))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_90 _let_105))) (let ((_let_107 (_let_9))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (_let_8))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (and _let_42 _let_85 _let_84 _let_81 _let_80))) (let ((_let_112 (ASSUME :args (_let_80)))) (let ((_let_113 (ASSUME :args (_let_81)))) (let ((_let_114 (CONG (REFL :args (_let_3)) _let_57 :args _let_55))) (let ((_let_115 (APPLY_UF tptp.not))) (let ((_let_116 (APPLY_UF tptp.or))) (let ((_let_117 (CONG (CONG _let_56 _let_57 :args _let_55) :args _let_115))) (let ((_let_118 (ASSUME :args (_let_84)))) (let ((_let_119 (ASSUME :args (_let_85)))) (let ((_let_120 (ASSUME :args (_let_65)))) (let ((_let_121 (ASSUME :args (_let_19)))) (let ((_let_122 (ASSUME :args (_let_23)))) (let ((_let_123 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_120 _let_122 _let_121 _let_123) :args (_let_19 _let_23 _let_25 _let_65)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_123)) (CONG (CONG (SYMM _let_122) (SYMM _let_121) :args _let_55) :args _let_54) (FALSE_INTRO _let_120))) :args (_let_65 _let_23 _let_19 _let_25)) :args ((not (and _let_19 _let_23 _let_25 _let_65)) SB_LITERAL))) (CONG (REFL :args ((not _let_19))) (REFL :args ((not _let_23))) (REFL :args ((not _let_25))) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_26))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_64 _let_65 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_6 _let_72 _let_74 (not _let_75)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_112 _let_113 _let_56 _let_118 _let_119) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_114) (TRANS (SYMM (SYMM _let_119)) (SYMM (SYMM _let_118)) (CONG (TRANS (CONG _let_117 (SYMM _let_117) :args _let_116) (CONG (REFL :args (_let_76)) _let_117 :args _let_116)) :args _let_115)) :args _let_55) (CONG _let_114 (REFL :args (_let_78)) :args _let_55) (SYMM _let_113)) :args _let_54) (TRUE_INTRO _let_112))) :args (_let_80 _let_81 _let_42 _let_84 _let_85))) :args (_let_42 _let_85 _let_84 _let_81 _let_80))) :args (true _let_111)) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equivalent P Q)))) :args _let_109)) _let_110 :args (_let_85 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_82 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and P Q)))) :args _let_107)) _let_108 :args (_let_84 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_18 _let_78 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.not X) Y)))) :args _let_27))) _let_28 :args (_let_81 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_80 _let_91 _let_88 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_90 (not _let_106)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_78 _let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_49)) _let_50 :args (_let_104 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_106 false _let_11)) :args (_let_90 false _let_104 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_101)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_103) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_103) :args _let_54) (TRUE_INTRO _let_102))) :args (_let_95 _let_94))) :args (_let_94 _let_95))) :args (true _let_101)) :args ((or (not _let_95) (not _let_94) _let_87))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_95 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A A)))) :args _let_99)) _let_100 :args (_let_96 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_98 false _let_11)) :args (_let_95 false _let_96 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_77 _let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_94 false _let_12)) :args (_let_87 false _let_95 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_79 _let_86 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_92 false _let_10)) :args (_let_80 false _let_90 false _let_87 false _let_92)) :args (_let_73 false _let_42 false _let_85 false _let_84 false _let_81 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_5 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_38 :args (_let_75 false _let_10)) :args (_let_72 true _let_6 false _let_73 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_63 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_49)) _let_50 :args (_let_68 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_70 false _let_11)) :args (_let_63 false _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_18 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_38 :args (_let_67 false _let_10)) :args (_let_65 true _let_66 false _let_63 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_25 _let_35 _let_32 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_34 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_20 _let_4 _let_16 QUANTIFIERS_INST_E_MATCHING_MT ((tptp.or C A) (tptp.or C B)))) :args _let_61)) _let_62 :args (_let_58 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_60 false _let_11)) :args (_let_34 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (REFL :args (_let_20)) (SYMM _let_57) :args _let_55) :args _let_54) (TRUE_INTRO _let_53))) :args (_let_41 _let_42))) :args (_let_42 _let_41))) :args (true _let_52)) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_41 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_49)) _let_50 :args (_let_43 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_45 false _let_11)) :args (_let_41 false _let_43 false _let_45)) :args (_let_31 false _let_42 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_24 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_36 false _let_10)) :args (_let_25 false _let_34 false _let_31 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_3 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_23 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_3 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_19 false _let_12)) :args (false true _let_26 false _let_25 false _let_23 false _let_19)) :args (_let_15 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))) _let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 42.92/43.18  )
% 42.92/43.19  % SZS output end Proof for LCL296-3
% 42.92/43.19  % cvc5---1.0.5 exiting
% 42.92/43.19  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------