TSTP Solution File: LCL236-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL236-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 85.96s 86.17s
% Output   : Proof 85.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL236-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri Aug 25 02:04:35 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RaCmO1Z9L3/cvc5---1.0.5_19514.p...
% 0.22/0.50  ------- get file name : TPTP file name is LCL236-3
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19514.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.54/10.73  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.52/15.79  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.59/20.84  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.64/25.89  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.80/31.02  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.87/36.08  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.83/41.26  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.25/46.46  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.34/51.54  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.38/56.60  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.44/61.68  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.53/66.76  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.74/76.95  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 85.96/86.17  % SZS status Unsatisfiable for LCL236-3
% 85.96/86.17  % SZS output start Proof for LCL236-3
% 85.96/86.18  (
% 85.96/86.18  (let ((_let_1 (tptp.and tptp.p tptp.q))) (let ((_let_2 (tptp.not _let_1))) (let ((_let_3 (tptp.or (tptp.not tptp.p) (tptp.not tptp.q)))) (let ((_let_4 (tptp.implies _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.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 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))))) (let ((_let_14 (tptp.not _let_3))) (let ((_let_15 (= _let_1 _let_14))) (let ((_let_16 (tptp.or _let_2 _let_14))) (let ((_let_17 (tptp.not _let_14))) (let ((_let_18 (tptp.or _let_17 _let_16))) (let ((_let_19 (tptp.not _let_18))) (let ((_let_20 (tptp.or _let_19 _let_14))) (let ((_let_21 (tptp.or _let_2 _let_20))) (let ((_let_22 (= _let_21 (tptp.implies _let_1 _let_20)))) (let ((_let_23 (tptp.axiom (tptp.implies _let_14 _let_20)))) (let ((_let_24 (tptp.axiom _let_21))) (let ((_let_25 (_let_7))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and P Q)))) :args _let_25)) _let_26 :args (_let_15 false _let_7)))) (let ((_let_28 (_let_10))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (_let_13))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((tptp.or B A)))) (let ((_let_33 (not _let_24))) (let ((_let_34 (tptp.theorem _let_21))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (_let_9))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (not _let_34))) (let ((_let_39 (tptp.or _let_19 _let_16))) (let ((_let_40 (tptp.implies _let_21 _let_39))) (let ((_let_41 (tptp.theorem _let_40))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.theorem _let_39))) (let ((_let_44 (or _let_43 _let_42 _let_38))) (let ((_let_45 (_let_8))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((tptp.implies Y X)))) (let ((_let_48 (tptp.axiom _let_40))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_41 _let_49))) (let ((_let_51 ((not (= (tptp.axiom X) false))))) (let ((_let_52 (_let_11))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (tptp.or _let_17 _let_14))) (let ((_let_55 (tptp.implies _let_18 _let_54))) (let ((_let_56 (= _let_55 (tptp.or _let_19 _let_54)))) (let ((_let_57 (tptp.theorem _let_55))) (let ((_let_58 (not _let_43))) (let ((_let_59 ((tptp.implies X Y)))) (let ((_let_60 (tptp.theorem _let_18))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_57))) (let ((_let_63 (tptp.theorem _let_54))) (let ((_let_64 (or _let_63 _let_62 _let_61))) (let ((_let_65 (tptp.implies _let_14 _let_16))) (let ((_let_66 (= _let_65 _let_18))) (let ((_let_67 (tptp.theorem _let_65))) (let ((_let_68 (tptp.axiom _let_65))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_67 _let_69))) (let ((_let_71 (and _let_66 _let_67))) (let ((_let_72 (ASSUME :args (_let_67)))) (let ((_let_73 (APPLY_UF tptp.theorem))) (let ((_let_74 (ASSUME :args (_let_66)))) (let ((_let_75 (tptp.theorem _let_16))) (let ((_let_76 (not _let_63))) (let ((_let_77 (not _let_75))) (let ((_let_78 (tptp.or _let_14 _let_2))) (let ((_let_79 (tptp.implies _let_16 _let_78))) (let ((_let_80 (tptp.theorem _let_79))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.theorem _let_78))) (let ((_let_83 (or _let_82 _let_81 _let_77))) (let ((_let_84 (tptp.axiom _let_79))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_80 _let_85))) (let ((_let_87 (_let_12))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (= _let_4 _let_78))) (let ((_let_90 (not _let_82))) (let ((_let_91 (ASSUME :args (_let_6)))) (let ((_let_92 (or))) (let ((_let_93 (and _let_6 _let_89))) (let ((_let_94 (_let_6 _let_89))) (let ((_let_95 (ASSUME :args (_let_89)))) (let ((_let_96 (not _let_15))) (let ((_let_97 (REFL :args (_let_96)))) (let ((_let_98 (and _let_15 _let_77))) (let ((_let_99 (ASSUME :args (_let_77)))) (let ((_let_100 (APPLY_UF tptp.or))) (let ((_let_101 (REFL :args (_let_14)))) (let ((_let_102 (APPLY_UF tptp.not))) (let ((_let_103 (ASSUME :args (_let_15)))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (not _let_56))) (let ((_let_106 (and _let_15 _let_56 _let_62))) (let ((_let_107 (ASSUME :args (_let_62)))) (let ((_let_108 (ASSUME :args (_let_56)))) (let ((_let_109 (ASSUME :args (_let_33)))) (let ((_let_110 (ASSUME :args (_let_22)))) (let ((_let_111 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_109 _let_110 _let_103 _let_111) :args (_let_15 _let_22 _let_23 _let_33)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_111)) (CONG (TRANS (CONG _let_104 (REFL :args (_let_20)) :args (APPLY_UF tptp.implies)) (SYMM _let_110)) :args (APPLY_UF tptp.axiom)) (FALSE_INTRO _let_109))) :args (_let_33 _let_22 _let_15 _let_23)) :args ((not (and _let_15 _let_22 _let_23 _let_33)) SB_LITERAL))) (CONG _let_97 (REFL :args ((not _let_22))) (REFL :args ((not _let_23))) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_24))) :args _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_42 _let_38 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_107 _let_108 _let_103) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_19)) (CONG (CONG (SYMM _let_104) :args _let_102) _let_101 :args _let_100) :args _let_100) (SYMM _let_108)) :args _let_73) (FALSE_INTRO _let_107))) :args (_let_62 _let_56 _let_15))) :args (_let_15 _let_56 _let_62))) :args (true _let_106)) (CONG _let_97 (REFL :args (_let_105)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_57))) (REFL :args (_let_58)) :args _let_92)) :args ((or _let_96 _let_57 _let_105 _let_58))) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_62 _let_61 (not _let_64)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_103) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (CONG _let_104 :args _let_102) _let_101 :args _let_100) :args _let_73) (FALSE_INTRO _let_99))) :args (_let_77 _let_15))) :args (_let_15 _let_77))) :args (true _let_98)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_75))) (REFL :args (_let_76)) :args _let_92)) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_81 _let_77 (not _let_83)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_95) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_95) :args _let_73) (FALSE_INTRO _let_91))) :args _let_94)) :args _let_94)) :args (true _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_89))) (REFL :args (_let_90)) :args _let_92)) _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_28)) _let_29 :args (_let_89 false _let_10)) :args (_let_90 true _let_5 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_80 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_2 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_87)) _let_88 :args (_let_84 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_36)) _let_37 :args (_let_86 false _let_9)) :args (_let_80 false _let_84 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_78 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_83 false _let_8)) :args (_let_77 true _let_82 false _let_80 false _let_83)) :args (_let_76 false _let_15 true _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_74) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_74) :args _let_73) (TRUE_INTRO _let_72))) :args (_let_67 _let_66))) :args (_let_66 _let_67))) :args (true _let_71)) :args ((or (not _let_67) (not _let_66) _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_67 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_14 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_68 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_36)) _let_37 :args (_let_70 false _let_9)) :args (_let_67 false _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_14 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_28)) _let_29 :args (_let_66 false _let_10)) :args (_let_60 false _let_67 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_54 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_64 false _let_8)) :args (_let_62 true _let_63 false _let_60 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_18 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_28)) _let_29 :args (_let_56 false _let_10)) :args (_let_58 false _let_15 true _let_57 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_41 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_2 _let_19 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_52)) _let_53 :args (_let_48 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_36)) _let_37 :args (_let_50 false _let_9)) :args (_let_41 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_39 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_44 false _let_8)) :args (_let_38 true _let_43 false _let_41 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_36)) _let_37 :args (_let_35 false _let_9)) :args (_let_33 true _let_34 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_14 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_23 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_1 _let_20 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.not X) Y)))) :args _let_28))) _let_29 :args (_let_22 false _let_10)) _let_27 :args (false true _let_24 false _let_23 false _let_22 false _let_15)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) _let_13 _let_12 _let_11 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 85.96/86.18  )
% 85.96/86.19  % SZS output end Proof for LCL236-3
% 85.96/86.20  % cvc5---1.0.5 exiting
% 85.96/86.20  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------