TSTP Solution File: LCL197-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL197-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 07:01:07 EDT 2023

% Result   : Unsatisfiable 41.57s 41.75s
% Output   : Proof 41.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : LCL197-3 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 18:25:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JCnQP83gDr/cvc5---1.0.5_3793.p...
% 0.21/0.49  ------- get file name : TPTP file name is LCL197-3
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3793.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.38/10.71  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.60/15.77  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.62/20.84  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.68/25.89  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.77/30.99  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.77/36.03  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.99/41.24  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 41.57/41.75  % SZS status Unsatisfiable for LCL197-3
% 41.57/41.75  % SZS output start Proof for LCL197-3
% 41.58/41.75  (
% 41.58/41.75  (let ((_let_1 (tptp.or tptp.p tptp.q))) (let ((_let_2 (tptp.or tptp.q _let_1))) (let ((_let_3 (tptp.implies _let_2 _let_1))) (let ((_let_4 (tptp.theorem _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_7 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_9 (forall ((A $$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_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))))) (let ((_let_11 (forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))))) (let ((_let_12 (tptp.or tptp.q tptp.q))) (let ((_let_13 (tptp.or tptp.p _let_12))) (let ((_let_14 (tptp.implies _let_13 _let_1))) (let ((_let_15 (tptp.theorem _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.not _let_2))) (let ((_let_18 (tptp.or _let_17 _let_1))) (let ((_let_19 (tptp.or _let_17 _let_13))) (let ((_let_20 (tptp.implies _let_19 _let_18))) (let ((_let_21 (tptp.implies _let_14 _let_20))) (let ((_let_22 (tptp.theorem _let_21))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.theorem _let_20))) (let ((_let_25 (or _let_24 _let_23 _let_16))) (let ((_let_26 (_let_6))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 ((tptp.implies Y X)))) (let ((_let_29 (tptp.theorem _let_19))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_24))) (let ((_let_32 (tptp.theorem _let_18))) (let ((_let_33 (or _let_32 _let_31 _let_30))) (let ((_let_34 (tptp.implies _let_2 _let_13))) (let ((_let_35 (= _let_34 _let_19))) (let ((_let_36 (tptp.theorem _let_34))) (let ((_let_37 (_let_8))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.implies X Y)))) (let ((_let_40 (tptp.axiom _let_34))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_36 _let_41))) (let ((_let_43 (_let_7))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((not (= (tptp.axiom X) false))))) (let ((_let_46 (_let_10))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (and _let_35 _let_36))) (let ((_let_49 (ASSUME :args (_let_36)))) (let ((_let_50 (APPLY_UF tptp.theorem))) (let ((_let_51 (ASSUME :args (_let_35)))) (let ((_let_52 (= _let_3 _let_18))) (let ((_let_53 (not _let_32))) (let ((_let_54 (ASSUME :args (_let_5)))) (let ((_let_55 (and _let_5 _let_52))) (let ((_let_56 (_let_5 _let_52))) (let ((_let_57 (ASSUME :args (_let_52)))) (let ((_let_58 (tptp.axiom _let_21))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_22 _let_59))) (let ((_let_61 (_let_9))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.or C A) (tptp.or C B)))) (let ((_let_64 (tptp.implies _let_12 tptp.q))) (let ((_let_65 (tptp.theorem _let_64))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.implies _let_64 _let_14))) (let ((_let_68 (tptp.theorem _let_67))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_15 _let_69 _let_66))) (let ((_let_71 (tptp.axiom _let_67))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_68 _let_72))) (let ((_let_74 (tptp.axiom _let_64))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_65 _let_75))) (let ((_let_77 (_let_11))) (let ((_let_78 (ASSUME :args _let_77))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_16 _let_24 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_66 _let_15 _let_69 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_65 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A A)))) :args _let_77)) _let_78 :args (_let_74 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_76 false _let_7)) :args (_let_65 false _let_74 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_68 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_12 tptp.q tptp.p QUANTIFIERS_INST_E_MATCHING_MT _let_63)) :args _let_61)) _let_62 :args (_let_71 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_73 false _let_7)) :args (_let_68 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_14 _let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_70 false _let_6)) :args (_let_15 false _let_65 false _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_22 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_13 _let_1 _let_17 QUANTIFIERS_INST_E_MATCHING_MT _let_63)) :args _let_61)) _let_62 :args (_let_58 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_60 false _let_7)) :args (_let_22 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_31 (not _let_33)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_57) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_57) :args _let_50) (FALSE_INTRO _let_54))) :args _let_56)) :args _let_56)) :args (true _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_52))) (REFL :args (_let_53)) :args (or))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_52 false _let_8)) :args (_let_53 true _let_4 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_51) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_51) :args _let_50) (TRUE_INTRO _let_49))) :args (_let_36 _let_35))) :args (_let_35 _let_36))) :args (true _let_48)) :args ((or (not _let_36) (not _let_35) _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_36 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.q tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING ((tptp.or A (tptp.or B C))))) :args _let_46)) _let_47 :args (_let_40 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_42 false _let_7)) :args (_let_36 false _let_40 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_2 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_35 false _let_8)) :args (_let_29 false _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_18 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_33 false _let_6)) :args (_let_31 true _let_32 false _let_29 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_20 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_26)) _let_27 :args (_let_25 false _let_6)) :args (false false _let_15 false _let_22 true _let_24 false _let_25)) :args (_let_11 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 41.58/41.75  )
% 41.58/41.76  % SZS output end Proof for LCL197-3
% 41.58/41.76  % cvc5---1.0.5 exiting
% 41.58/41.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------