TSTP Solution File: LCL234-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL234-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 07:01:19 EDT 2023

% Result   : Unsatisfiable 40.92s 41.83s
% Output   : Proof 40.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL234-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n028.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 18:44:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fsFn8D8NIp/cvc5---1.0.5_8819.p...
% 0.20/0.49  ------- get file name : TPTP file name is LCL234-3
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8819.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.47/10.68  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.54/15.73  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.55/20.82  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.84  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.70/30.95  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.65/36.00  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.73/41.13  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 40.92/41.83  % SZS status Unsatisfiable for LCL234-3
% 40.92/41.83  % SZS output start Proof for LCL234-3
% 40.92/41.83  (
% 40.92/41.83  (let ((_let_1 (tptp.and tptp.p tptp.q))) (let ((_let_2 (tptp.implies tptp.q _let_1))) (let ((_let_3 (tptp.implies tptp.p _let_2))) (let ((_let_4 (tptp.theorem _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.and P Q) (tptp.not (tptp.or (tptp.not P) (tptp.not Q))))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_8 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_10 (forall ((A $$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_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.not tptp.q))) (let ((_let_14 (tptp.not tptp.p))) (let ((_let_15 (tptp.or _let_14 _let_13))) (let ((_let_16 (tptp.not _let_15))) (let ((_let_17 (= _let_1 _let_16))) (let ((_let_18 (tptp.or _let_14 _let_1))) (let ((_let_19 (tptp.implies (tptp.or _let_1 _let_14) _let_18))) (let ((_let_20 (tptp.theorem _let_19))) (let ((_let_21 (tptp.or _let_16 _let_14))) (let ((_let_22 (tptp.implies _let_21 _let_18))) (let ((_let_23 (tptp.theorem _let_22))) (let ((_let_24 (_let_6))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (tptp.axiom _let_19))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_20 _let_27))) (let ((_let_29 (_let_8))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((not (= (tptp.axiom X) false))))) (let ((_let_32 (_let_12))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_23))) (let ((_let_35 (tptp.or _let_13 _let_18))) (let ((_let_36 (tptp.or _let_13 _let_21))) (let ((_let_37 (tptp.implies _let_36 _let_35))) (let ((_let_38 (tptp.implies _let_22 _let_37))) (let ((_let_39 (tptp.theorem _let_38))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.theorem _let_37))) (let ((_let_42 (or _let_41 _let_40 _let_34))) (let ((_let_43 (_let_7))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((tptp.implies Y X)))) (let ((_let_46 (tptp.axiom _let_38))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_39 _let_47))) (let ((_let_49 (_let_10))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (tptp.theorem _let_36))) (let ((_let_52 (not _let_51))) (let ((_let_53 (not _let_41))) (let ((_let_54 (tptp.theorem _let_35))) (let ((_let_55 (or _let_54 _let_53 _let_52))) (let ((_let_56 (tptp.or _let_13 _let_14))) (let ((_let_57 (tptp.or _let_16 _let_56))) (let ((_let_58 (tptp.theorem _let_57))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.implies _let_57 _let_36))) (let ((_let_61 (tptp.theorem _let_60))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_51 _let_62 _let_59))) (let ((_let_64 (tptp.axiom _let_60))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_61 _let_65))) (let ((_let_67 (_let_11))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (tptp.implies _let_15 _let_56))) (let ((_let_70 (= _let_69 _let_57))) (let ((_let_71 (tptp.theorem _let_69))) (let ((_let_72 (_let_9))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 ((tptp.implies X Y)))) (let ((_let_75 (tptp.axiom _let_69))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_71 _let_76))) (let ((_let_78 (and _let_70 _let_71))) (let ((_let_79 (ASSUME :args (_let_71)))) (let ((_let_80 (APPLY_UF tptp.theorem))) (let ((_let_81 (ASSUME :args (_let_70)))) (let ((_let_82 (not _let_54))) (let ((_let_83 (tptp.or _let_13 _let_1))) (let ((_let_84 (tptp.or _let_14 _let_83))) (let ((_let_85 (tptp.implies _let_35 _let_84))) (let ((_let_86 (tptp.theorem _let_85))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.theorem _let_84))) (let ((_let_89 (or _let_88 _let_87 _let_82))) (let ((_let_90 (tptp.axiom _let_85))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_86 _let_91))) (let ((_let_93 (= _let_2 _let_83))) (let ((_let_94 (= _let_3 (tptp.or _let_14 _let_2)))) (let ((_let_95 (not _let_88))) (let ((_let_96 (ASSUME :args (_let_5)))) (let ((_let_97 (or))) (let ((_let_98 (and _let_5 _let_94 _let_93))) (let ((_let_99 (_let_5 _let_94 _let_93))) (let ((_let_100 (ASSUME :args (_let_94)))) (let ((_let_101 (APPLY_UF tptp.or))) (let ((_let_102 (ASSUME :args (_let_93)))) (let ((_let_103 (REFL :args (_let_14)))) (let ((_let_104 (ASSUME :args (_let_34)))) (let ((_let_105 (ASSUME :args (_let_17)))) (let ((_let_106 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_104 _let_105 _let_106) :args (_let_17 _let_20 _let_34)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_106)) (CONG (CONG (CONG (SYMM (SYMM _let_105)) _let_103 :args _let_101) (REFL :args (_let_18)) :args (APPLY_UF tptp.implies)) :args _let_80) (FALSE_INTRO _let_104))) :args (_let_34 _let_17 _let_20)) :args ((not (and _let_17 _let_20 _let_34)) SB_LITERAL))) (CONG (REFL :args ((not _let_17))) (REFL :args ((not _let_20))) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_23))) :args _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 _let_34 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_52 _let_53 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_87 _let_82 (not _let_89)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_100 _let_102) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_103 (SYMM _let_102) :args _let_101) (SYMM _let_100)) :args _let_80) (FALSE_INTRO _let_96))) :args _let_99)) :args _let_99)) :args (true _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_94))) (REFL :args ((not _let_93))) (REFL :args (_let_95)) :args _let_97)) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.p _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_94 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.q _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_93 false _let_9)) :args (_let_95 true _let_4 false _let_94 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_86 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_13 _let_14 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_67)) _let_68 :args (_let_90 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_92 false _let_8)) :args (_let_86 false _let_90 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_84 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_89 false _let_7)) :args (_let_82 true _let_88 false _let_86 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_59 _let_51 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_81) :args _let_80) (TRUE_INTRO _let_79))) :args (_let_71 _let_70))) :args (_let_70 _let_71))) :args (true _let_78)) :args ((or (not _let_71) (not _let_70) _let_58))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_71 (not _let_77)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_14 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A B)))) :args _let_32)) _let_33 :args (_let_75 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_77 false _let_8)) :args (_let_71 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_15 _let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_70 false _let_9)) :args (_let_58 false _let_71 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_61 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_16 _let_13 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.or A (tptp.or B C))))) :args _let_67)) _let_68 :args (_let_64 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_66 false _let_8)) :args (_let_61 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_36 _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_63 false _let_7)) :args (_let_51 false _let_58 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_35 _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_55 false _let_7)) :args (_let_53 true _let_54 false _let_51 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_39 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_21 _let_18 _let_13 QUANTIFIERS_INST_E_MATCHING_MT ((tptp.or C A) (tptp.or C B)))) :args _let_49)) _let_50 :args (_let_46 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_48 false _let_8)) :args (_let_39 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_37 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_42 false _let_7)) :args (_let_34 true _let_41 false _let_39 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_20 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_1 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_32)) _let_33 :args (_let_26 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_28 false _let_8)) :args (_let_20 false _let_26 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and P Q)))) :args _let_24)) _let_25 :args (_let_17 false _let_6)) :args (false true _let_23 false _let_20 false _let_17)) :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 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 40.92/41.83  )
% 40.92/41.83  % SZS output end Proof for LCL234-3
% 40.92/41.84  % cvc5---1.0.5 exiting
% 40.92/41.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------