TSTP Solution File: LCL272-3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 07:01:28 EDT 2023
% Result : Unsatisfiable 9.05s 9.21s
% Output : Proof 9.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n021.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 06:22:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XNkY5YSPpu/cvc5---1.0.5_7279.p...
% 0.21/0.49 ------- get file name : TPTP file name is LCL272-3
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7279.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 9.05/9.21 % SZS status Unsatisfiable for LCL272-3
% 9.05/9.21 % SZS output start Proof for LCL272-3
% 9.05/9.22 (
% 9.05/9.22 (let ((_let_1 (tptp.or tptp.p tptp.p))) (let ((_let_2 (tptp.equivalent tptp.p _let_1))) (let ((_let_3 (tptp.theorem _let_2))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.equivalent P Q) (tptp.and (tptp.implies P Q) (tptp.implies Q P)))))) (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.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 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))))) (let ((_let_13 (forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))))) (let ((_let_14 (tptp.implies tptp.p _let_1))) (let ((_let_15 (tptp.theorem _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.implies _let_1 tptp.p))) (let ((_let_18 (tptp.not _let_17))) (let ((_let_19 (tptp.not _let_14))) (let ((_let_20 (tptp.or _let_19 _let_18))) (let ((_let_21 (tptp.not _let_20))) (let ((_let_22 (tptp.implies _let_14 _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_16))) (let ((_let_27 (tptp.axiom _let_14))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_15 _let_28))) (let ((_let_30 (_let_8))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((not (= (tptp.axiom X) false))))) (let ((_let_33 (_let_12))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (_let_7))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((tptp.implies Y X)))) (let ((_let_38 (tptp.or _let_19 _let_21))) (let ((_let_39 (= _let_38 _let_22))) (let ((_let_40 (tptp.theorem _let_38))) (let ((_let_41 (_let_9))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.or (tptp.not X) Y)))) (let ((_let_44 (tptp.or _let_21 _let_19))) (let ((_let_45 (tptp.theorem _let_44))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.implies _let_44 _let_38))) (let ((_let_48 (tptp.theorem _let_47))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_40 _let_49 _let_46))) (let ((_let_51 (tptp.axiom _let_47))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_48 _let_52))) (let ((_let_54 (_let_11))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 ((tptp.or A B)))) (let ((_let_57 (tptp.theorem _let_17))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.implies _let_17 _let_44))) (let ((_let_60 (tptp.theorem _let_59))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_45 _let_61 _let_58))) (let ((_let_63 (tptp.or _let_18 _let_44))) (let ((_let_64 (tptp.theorem _let_63))) (let ((_let_65 (= _let_63 _let_59))) (let ((_let_66 (tptp.or _let_18 _let_19))) (let ((_let_67 (tptp.or _let_21 _let_66))) (let ((_let_68 (tptp.theorem _let_67))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.implies _let_67 _let_63))) (let ((_let_71 (tptp.theorem _let_70))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_64 _let_72 _let_69))) (let ((_let_74 (tptp.axiom _let_70))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_71 _let_75))) (let ((_let_77 (_let_10))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (tptp.implies _let_20 _let_66))) (let ((_let_80 (= _let_79 _let_67))) (let ((_let_81 (tptp.theorem _let_79))) (let ((_let_82 (tptp.axiom _let_79))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_81 _let_83))) (let ((_let_85 (and _let_80 _let_81))) (let ((_let_86 (ASSUME :args (_let_81)))) (let ((_let_87 (APPLY_UF tptp.theorem))) (let ((_let_88 (ASSUME :args (_let_80)))) (let ((_let_89 (and _let_65 _let_64))) (let ((_let_90 (ASSUME :args (_let_64)))) (let ((_let_91 (ASSUME :args (_let_65)))) (let ((_let_92 (tptp.axiom _let_17))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_57 _let_93))) (let ((_let_95 (_let_13))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (and _let_39 _let_40))) (let ((_let_98 (ASSUME :args (_let_40)))) (let ((_let_99 (ASSUME :args (_let_39)))) (let ((_let_100 (tptp.and _let_14 _let_17))) (let ((_let_101 (= _let_100 _let_21))) (let ((_let_102 (= _let_2 _let_100))) (let ((_let_103 (not _let_25))) (let ((_let_104 (_let_6))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (_let_5))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (ASSUME :args (_let_4)))) (let ((_let_109 (and _let_4 _let_102 _let_101))) (let ((_let_110 (_let_4 _let_102 _let_101))) (let ((_let_111 (ASSUME :args (_let_102)))) (let ((_let_112 (ASSUME :args (_let_101)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_16 _let_25 _let_24 (not _let_26)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_109)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_108 _let_111 _let_112) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_112) (SYMM _let_111)) :args _let_87) (FALSE_INTRO _let_108))) :args _let_110)) :args _let_110)) :args (true _let_109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_102))) (REFL :args ((not _let_101))) (REFL :args (_let_103)) :args (or))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.p _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equivalent P Q)))) :args _let_106)) _let_107 :args (_let_102 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_14 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and P Q)))) :args _let_104)) _let_105 :args (_let_101 false _let_6)) :args (_let_103 true _let_3 false _let_102 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_99) :args _let_87) (TRUE_INTRO _let_98))) :args (_let_40 _let_39))) :args (_let_39 _let_40))) :args (true _let_97)) :args ((or (not _let_40) (not _let_39) _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_46 _let_40 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_58 _let_45 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_57 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A A)))) :args _let_95)) _let_96 :args (_let_92 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_94 false _let_8)) :args (_let_57 false _let_92 false _let_94)) (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_87) (TRUE_INTRO _let_90))) :args (_let_64 _let_65))) :args (_let_65 _let_64))) :args (true _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_17 _let_44 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41))) _let_42 :args (_let_65 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_69 _let_64 _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_86 _let_88) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_88) :args _let_87) (TRUE_INTRO _let_86))) :args (_let_81 _let_80))) :args (_let_80 _let_81))) :args (true _let_85)) :args ((or (not _let_81) (not _let_80) _let_68))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_81 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_82 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_84 false _let_8)) :args (_let_81 false _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_20 _let_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.implies X Y)))) :args _let_41)) _let_42 :args (_let_80 false _let_9)) :args (_let_68 false _let_81 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_71 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_21 _let_18 _let_19 QUANTIFIERS_INST_E_MATCHING ((tptp.or A (tptp.or B C))))) :args _let_77)) _let_78 :args (_let_74 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_70 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_76 false _let_8)) :args (_let_71 false _let_74 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_63 _let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_73 false _let_7)) :args (_let_64 false _let_68 false _let_71 false _let_73)) :args (_let_60 false _let_65 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_44 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_62 false _let_7)) :args (_let_45 false _let_57 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_48 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_21 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_51 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_53 false _let_8)) :args (_let_48 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_38 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_50 false _let_7)) :args (_let_40 false _let_45 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_14 _let_21 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41))) _let_42 :args (_let_39 false _let_9)) :args (_let_23 false _let_40 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_21 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_15 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.p tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_33)) _let_34 :args (_let_27 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_29 false _let_8)) :args (_let_15 false _let_27 false _let_29)) :args (false true _let_25 false _let_23 false _let_26 false _let_15)) :args (_let_13 _let_12 _let_11 _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_9 _let_8 _let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 9.05/9.22 )
% 9.05/9.24 % SZS output end Proof for LCL272-3
% 9.05/9.24 % cvc5---1.0.5 exiting
% 9.05/9.24 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------