TSTP Solution File: LCL258-3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL258-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 07:01:25 EDT 2023
% Result : Unsatisfiable 8.16s 8.35s
% Output : Proof 8.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL258-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n015.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 : Fri Aug 25 05:20:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jqjxAhSpAO/cvc5---1.0.5_16577.p...
% 0.22/0.50 ------- get file name : TPTP file name is LCL258-3
% 0.22/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16577.smt2...
% 0.22/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.16/8.35 % SZS status Unsatisfiable for LCL258-3
% 8.16/8.35 % SZS output start Proof for LCL258-3
% 8.16/8.35 (
% 8.16/8.35 (let ((_let_1 (tptp.implies tptp.p tptp.q))) (let ((_let_2 (tptp.implies _let_1 tptp.q))) (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 ((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) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_12 (tptp.not tptp.p))) (let ((_let_13 (tptp.or _let_12 tptp.q))) (let ((_let_14 (tptp.or tptp.q _let_12))) (let ((_let_15 (tptp.implies _let_14 _let_13))) (let ((_let_16 (tptp.theorem _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.not _let_13))) (let ((_let_19 (tptp.or _let_18 _let_13))) (let ((_let_20 (tptp.or _let_18 _let_14))) (let ((_let_21 (tptp.implies _let_20 _let_19))) (let ((_let_22 (tptp.implies _let_15 _let_21))) (let ((_let_23 (tptp.theorem _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.theorem _let_21))) (let ((_let_26 (or _let_25 _let_24 _let_17))) (let ((_let_27 (tptp.axiom _let_15))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_16 _let_28))) (let ((_let_30 (_let_7))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((not (= (tptp.axiom X) false))))) (let ((_let_33 (_let_11))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (_let_6))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((tptp.implies Y X)))) (let ((_let_38 (tptp.axiom _let_22))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_23 _let_39))) (let ((_let_41 (_let_9))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.theorem _let_20))) (let ((_let_44 (not _let_43))) (let ((_let_45 (not _let_25))) (let ((_let_46 (tptp.theorem _let_19))) (let ((_let_47 (or _let_46 _let_45 _let_44))) (let ((_let_48 (tptp.not _let_1))) (let ((_let_49 (tptp.or _let_48 _let_13))) (let ((_let_50 (tptp.theorem _let_49))) (let ((_let_51 (= _let_1 _let_13))) (let ((_let_52 (not _let_46))) (let ((_let_53 (not _let_50))) (let ((_let_54 (tptp.or _let_48 tptp.q))) (let ((_let_55 (tptp.or _let_12 _let_54))) (let ((_let_56 (tptp.implies _let_49 _let_55))) (let ((_let_57 (tptp.theorem _let_56))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.theorem _let_55))) (let ((_let_60 (or _let_59 _let_58 _let_53))) (let ((_let_61 (tptp.axiom _let_56))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_57 _let_62))) (let ((_let_64 (_let_10))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (= _let_2 _let_54))) (let ((_let_67 (= _let_3 (tptp.or _let_12 _let_2)))) (let ((_let_68 (not _let_59))) (let ((_let_69 (_let_8))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 ((tptp.implies X Y)))) (let ((_let_72 (ASSUME :args (_let_5)))) (let ((_let_73 (or))) (let ((_let_74 (and _let_5 _let_67 _let_66))) (let ((_let_75 (_let_5 _let_67 _let_66))) (let ((_let_76 (APPLY_UF tptp.theorem))) (let ((_let_77 (ASSUME :args (_let_67)))) (let ((_let_78 (APPLY_UF tptp.or))) (let ((_let_79 (ASSUME :args (_let_66)))) (let ((_let_80 (and _let_51 _let_53))) (let ((_let_81 (ASSUME :args (_let_53)))) (let ((_let_82 (ASSUME :args (_let_51)))) (let ((_let_83 (tptp.implies _let_13 _let_14))) (let ((_let_84 (tptp.theorem _let_83))) (let ((_let_85 (= _let_83 _let_20))) (let ((_let_86 (tptp.axiom _let_83))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_84 _let_87))) (let ((_let_89 (and _let_85 _let_84))) (let ((_let_90 (ASSUME :args (_let_84)))) (let ((_let_91 (ASSUME :args (_let_85)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_17 _let_25 _let_24 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_44 _let_46 _let_45 (not _let_47)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_91) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_91) :args _let_76) (TRUE_INTRO _let_90))) :args (_let_84 _let_85))) :args (_let_85 _let_84))) :args (true _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_13 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_85 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_84 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_12 tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A B)))) :args _let_33)) _let_34 :args (_let_86 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_83 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_88 false _let_7)) :args (_let_84 false _let_86 false _let_88)) :args (_let_43 false _let_85 false _let_84)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_81 _let_82) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (CONG (SYMM _let_82) :args (APPLY_UF tptp.not)) (REFL :args (_let_13)) :args _let_78) :args _let_76) (FALSE_INTRO _let_81))) :args (_let_53 _let_51))) :args (_let_51 _let_53))) :args (true _let_80)) (CONG (REFL :args ((not _let_51))) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_50))) (REFL :args (_let_52)) :args _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_51 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_58 _let_53 (not _let_60)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_77 _let_79) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_12)) (SYMM _let_79) :args _let_78) (SYMM _let_77)) :args _let_76) (FALSE_INTRO _let_72))) :args _let_75)) :args _let_75)) :args (true _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_67))) (REFL :args ((not _let_66))) (REFL :args (_let_68)) :args _let_73)) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.p _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_67 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_1 tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_66 false _let_8)) :args (_let_68 true _let_4 false _let_67 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_57 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_48 _let_12 tptp.q QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_64)) _let_65 :args (_let_61 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_63 false _let_7)) :args (_let_57 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_55 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_60 false _let_6)) :args (_let_53 true _let_59 false _let_57 false _let_60)) :args (_let_52 false _let_51 true _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_19 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_47 false _let_6)) :args (_let_45 false _let_43 true _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_23 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_14 _let_13 _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.or C A) (tptp.or C B)))) :args _let_41)) _let_42 :args (_let_38 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_40 false _let_7)) :args (_let_23 false _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_21 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_26 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_16 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.q _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_33)) _let_34 :args (_let_27 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_29 false _let_7)) :args (_let_16 false _let_27 false _let_29)) :args (false true _let_25 false _let_23 false _let_26 false _let_16)) :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_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.16/8.35 )
% 8.16/8.37 % SZS output end Proof for LCL258-3
% 8.16/8.37 % cvc5---1.0.5 exiting
% 8.16/8.37 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------