TSTP Solution File: LCL294-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 07:01:31 EDT 2023

% Result   : Unsatisfiable 43.14s 43.39s
% Output   : Proof 43.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.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   : Thu Aug 24 19:09:28 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jDG7eOgk9e/cvc5---1.0.5_2004.p...
% 0.21/0.49  ------- get file name : TPTP file name is LCL294-3
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2004.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.18/10.64  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.37/15.70  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.56/20.76  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.50/25.78  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.66/30.86  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.69/35.90  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.78/41.02  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 43.14/43.39  % SZS status Unsatisfiable for LCL294-3
% 43.14/43.39  % SZS output start Proof for LCL294-3
% 43.14/43.40  (
% 43.14/43.40  (let ((_let_1 (tptp.not tptp.p))) (let ((_let_2 (tptp.or _let_1 tptp.q))) (let ((_let_3 (tptp.implies tptp.p tptp.q))) (let ((_let_4 (tptp.equivalent _let_3 _let_2))) (let ((_let_5 (tptp.theorem _let_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.equivalent P Q) (tptp.and (tptp.implies P Q) (tptp.implies Q P)))))) (let ((_let_8 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.and P Q) (tptp.not (tptp.or (tptp.not P) (tptp.not Q))))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_10 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_12 (forall ((A $$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_13 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_14 (forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))))) (let ((_let_15 (tptp.not _let_2))) (let ((_let_16 (tptp.or _let_15 _let_3))) (let ((_let_17 (tptp.implies _let_2 _let_3))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.or tptp.q _let_1))) (let ((_let_20 (tptp.or _let_15 _let_19))) (let ((_let_21 (tptp.implies _let_2 _let_19))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (tptp.implies _let_20 _let_16))) (let ((_let_24 (tptp.theorem _let_23))) (let ((_let_25 (tptp.theorem (tptp.implies _let_21 _let_17)))) (let ((_let_26 (_let_11))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 ((tptp.implies X Y)))) (let ((_let_29 (tptp.implies _let_19 _let_3))) (let ((_let_30 (tptp.theorem _let_29))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.implies _let_29 _let_23))) (let ((_let_33 (tptp.theorem _let_32))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_24 _let_34 _let_31))) (let ((_let_36 (_let_9))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((tptp.implies Y X)))) (let ((_let_39 (tptp.implies _let_19 _let_2))) (let ((_let_40 (tptp.theorem _let_39))) (let ((_let_41 (= _let_3 _let_2))) (let ((_let_42 (tptp.axiom _let_39))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_40 _let_43))) (let ((_let_45 (_let_10))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.axiom X) false))))) (let ((_let_48 (_let_13))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.p tptp.q QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_41 false _let_11)))) (let ((_let_51 (and _let_41 _let_40))) (let ((_let_52 (ASSUME :args (_let_40)))) (let ((_let_53 (APPLY_UF tptp.theorem))) (let ((_let_54 (APPLY_UF tptp.implies))) (let ((_let_55 (ASSUME :args (_let_41)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (tptp.axiom _let_32))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_33 _let_58))) (let ((_let_60 (_let_12))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (tptp.theorem _let_21))) (let ((_let_63 (not _let_62))) (let ((_let_64 (not _let_25))) (let ((_let_65 (tptp.theorem _let_17))) (let ((_let_66 (or _let_65 _let_64 _let_63))) (let ((_let_67 (tptp.axiom _let_21))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_62 _let_68))) (let ((_let_70 ((tptp.or A B)))) (let ((_let_71 (not _let_65))) (let ((_let_72 (tptp.theorem (tptp.implies _let_17 _let_4)))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_5 _let_73 _let_71))) (let ((_let_75 (tptp.not _let_17))) (let ((_let_76 (tptp.or _let_75 _let_75))) (let ((_let_77 (tptp.not _let_76))) (let ((_let_78 (tptp.or _let_75 _let_77))) (let ((_let_79 (tptp.theorem _let_78))) (let ((_let_80 (= _let_78 (tptp.implies _let_17 _let_77)))) (let ((_let_81 (tptp.implies _let_3 _let_2))) (let ((_let_82 (tptp.and _let_81 _let_17))) (let ((_let_83 (= _let_82 (tptp.not (tptp.or (tptp.not _let_81) _let_75))))) (let ((_let_84 (= _let_4 _let_82))) (let ((_let_85 (tptp.or _let_77 _let_75))) (let ((_let_86 (tptp.theorem _let_85))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.implies _let_85 _let_78))) (let ((_let_89 (tptp.theorem _let_88))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_79 _let_90 _let_87))) (let ((_let_92 (tptp.implies _let_76 _let_75))) (let ((_let_93 (= _let_92 _let_85))) (let ((_let_94 (tptp.theorem _let_92))) (let ((_let_95 (tptp.axiom _let_92))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_94 _let_96))) (let ((_let_98 (_let_14))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (and _let_93 _let_94))) (let ((_let_101 (ASSUME :args (_let_94)))) (let ((_let_102 (ASSUME :args (_let_93)))) (let ((_let_103 (tptp.axiom _let_88))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_89 _let_104))) (let ((_let_106 (_let_8))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (_let_7))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (and _let_41 _let_84 _let_83 _let_80 _let_79))) (let ((_let_111 (ASSUME :args (_let_79)))) (let ((_let_112 (ASSUME :args (_let_80)))) (let ((_let_113 (CONG (REFL :args (_let_2)) _let_56 :args _let_54))) (let ((_let_114 (APPLY_UF tptp.not))) (let ((_let_115 (APPLY_UF tptp.or))) (let ((_let_116 (CONG (CONG _let_55 _let_56 :args _let_54) :args _let_114))) (let ((_let_117 (ASSUME :args (_let_83)))) (let ((_let_118 (ASSUME :args (_let_84)))) (let ((_let_119 (ASSUME :args (_let_64)))) (let ((_let_120 (ASSUME :args (_let_18)))) (let ((_let_121 (ASSUME :args (_let_22)))) (let ((_let_122 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_119 _let_121 _let_120 _let_122) :args (_let_18 _let_22 _let_24 _let_64)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_122)) (CONG (CONG (SYMM _let_121) (SYMM _let_120) :args _let_54) :args _let_53) (FALSE_INTRO _let_119))) :args (_let_64 _let_22 _let_18 _let_24)) :args ((not (and _let_18 _let_22 _let_24 _let_64)) SB_LITERAL))) (CONG (REFL :args ((not _let_18))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_25))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_63 _let_64 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_5 _let_71 _let_73 (not _let_74)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_112 _let_55 _let_117 _let_118) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_113) (TRANS (SYMM (SYMM _let_118)) (SYMM (SYMM _let_117)) (CONG (TRANS (CONG _let_116 (SYMM _let_116) :args _let_115) (CONG (REFL :args (_let_75)) _let_116 :args _let_115)) :args _let_114)) :args _let_54) (CONG _let_113 (REFL :args (_let_77)) :args _let_54) (SYMM _let_112)) :args _let_53) (TRUE_INTRO _let_111))) :args (_let_79 _let_80 _let_41 _let_83 _let_84))) :args (_let_41 _let_84 _let_83 _let_80 _let_79))) :args (true _let_110)) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equivalent P Q)))) :args _let_108)) _let_109 :args (_let_84 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_81 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and P Q)))) :args _let_106)) _let_107 :args (_let_83 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_17 _let_77 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.not X) Y)))) :args _let_26))) _let_27 :args (_let_80 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_79 _let_90 _let_87 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_89 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_77 _let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_48)) _let_49 :args (_let_103 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_105 false _let_10)) :args (_let_89 false _let_103 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_100)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_102) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_102) :args _let_53) (TRUE_INTRO _let_101))) :args (_let_94 _let_93))) :args (_let_93 _let_94))) :args (true _let_100)) :args ((or (not _let_94) (not _let_93) _let_86))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_94 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A A)))) :args _let_98)) _let_99 :args (_let_95 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_92 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_97 false _let_10)) :args (_let_94 false _let_95 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_76 _let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_93 false _let_11)) :args (_let_86 false _let_94 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_78 _let_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_91 false _let_9)) :args (_let_79 false _let_89 false _let_86 false _let_91)) :args (_let_72 false _let_41 false _let_84 false _let_83 false _let_80 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_4 _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_36)) _let_37 :args (_let_74 false _let_9)) :args (_let_71 true _let_5 false _let_72 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_62 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_1 tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_48)) _let_49 :args (_let_67 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_69 false _let_10)) :args (_let_62 false _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_17 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_36)) _let_37 :args (_let_66 false _let_9)) :args (_let_64 true _let_65 false _let_62 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_24 _let_34 _let_31 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_33 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_19 _let_3 _let_15 QUANTIFIERS_INST_E_MATCHING_MT ((tptp.or C A) (tptp.or C B)))) :args _let_60)) _let_61 :args (_let_57 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_59 false _let_10)) :args (_let_33 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_55) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (REFL :args (_let_19)) (SYMM _let_56) :args _let_54) :args _let_53) (TRUE_INTRO _let_52))) :args (_let_40 _let_41))) :args (_let_41 _let_40))) :args (true _let_51)) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_40 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.q _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_48)) _let_49 :args (_let_42 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_44 false _let_10)) :args (_let_40 false _let_42 false _let_44)) :args (_let_30 false _let_41 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_23 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_35 false _let_9)) :args (_let_24 false _let_33 false _let_30 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_2 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_22 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_18 false _let_11)) :args (false true _let_25 false _let_24 false _let_22 false _let_18)) :args (_let_14 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))) _let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))) _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 43.14/43.40  )
% 43.14/43.41  % SZS output end Proof for LCL294-3
% 43.14/43.41  % cvc5---1.0.5 exiting
% 43.14/43.41  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------