TSTP Solution File: LCL178-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL178-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 07:01:00 EDT 2023
% Result : Unsatisfiable 6.32s 6.51s
% Output : Proof 6.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL178-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n014.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 : Fri Aug 25 05:40:48 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ODUFKq3xEP/cvc5---1.0.5_14961.p...
% 0.21/0.50 ------- get file name : TPTP file name is LCL178-3
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14961.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.32/6.51 % SZS status Unsatisfiable for LCL178-3
% 6.32/6.51 % SZS output start Proof for LCL178-3
% 6.32/6.51 (
% 6.32/6.51 (let ((_let_1 (tptp.not tptp.p))) (let ((_let_2 (tptp.not _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 ((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.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))))) (let ((_let_12 (tptp.or _let_1 _let_2))) (let ((_let_13 (tptp.not _let_12))) (let ((_let_14 (tptp.or _let_2 (tptp.or _let_13 _let_1)))) (let ((_let_15 (tptp.not _let_14))) (let ((_let_16 (tptp.or _let_15 _let_1))) (let ((_let_17 (tptp.implies _let_1 _let_16))) (let ((_let_18 (tptp.axiom _let_17))) (let ((_let_19 (tptp.or _let_2 _let_16))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (tptp.axiom _let_19))) (let ((_let_22 (_let_11))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (_let_8))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_21))) (let ((_let_27 (tptp.theorem _let_19))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (_let_7))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (not _let_27))) (let ((_let_32 (tptp.or _let_2 _let_1))) (let ((_let_33 (tptp.or _let_15 _let_32))) (let ((_let_34 (tptp.implies _let_19 _let_33))) (let ((_let_35 (tptp.theorem _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.theorem _let_33))) (let ((_let_38 (or _let_37 _let_36 _let_31))) (let ((_let_39 (_let_6))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.implies Y X)))) (let ((_let_42 (tptp.axiom _let_34))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_35 _let_43))) (let ((_let_45 ((not (= (tptp.axiom X) false))))) (let ((_let_46 (_let_9))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.implies _let_14 _let_32))) (let ((_let_49 (= _let_48 _let_33))) (let ((_let_50 (tptp.theorem _let_48))) (let ((_let_51 (not _let_37))) (let ((_let_52 ((tptp.implies X Y)))) (let ((_let_53 (tptp.theorem _let_14))) (let ((_let_54 (not _let_53))) (let ((_let_55 (not _let_50))) (let ((_let_56 (tptp.theorem _let_32))) (let ((_let_57 (or _let_56 _let_55 _let_54))) (let ((_let_58 (tptp.or _let_13 _let_32))) (let ((_let_59 (tptp.theorem _let_58))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.implies _let_58 _let_14))) (let ((_let_62 (tptp.theorem _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_53 _let_63 _let_60))) (let ((_let_65 (tptp.axiom _let_61))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_62 _let_66))) (let ((_let_68 (tptp.implies _let_12 _let_32))) (let ((_let_69 (tptp.theorem _let_68))) (let ((_let_70 (= _let_68 _let_58))) (let ((_let_71 (tptp.axiom _let_68))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_69 _let_72))) (let ((_let_74 (_let_10))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (and _let_70 _let_69))) (let ((_let_77 (ASSUME :args (_let_69)))) (let ((_let_78 (APPLY_UF tptp.theorem))) (let ((_let_79 (ASSUME :args (_let_70)))) (let ((_let_80 (not _let_56))) (let ((_let_81 (tptp.implies _let_32 _let_12))) (let ((_let_82 (tptp.theorem _let_81))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.theorem _let_12))) (let ((_let_85 (or _let_84 _let_83 _let_80))) (let ((_let_86 (tptp.axiom _let_81))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_82 _let_87))) (let ((_let_89 (= _let_3 _let_12))) (let ((_let_90 (not _let_84))) (let ((_let_91 (ASSUME :args (_let_5)))) (let ((_let_92 (or))) (let ((_let_93 (and _let_5 _let_89))) (let ((_let_94 (_let_5 _let_89))) (let ((_let_95 (ASSUME :args (_let_89)))) (let ((_let_96 (not _let_49))) (let ((_let_97 (and _let_49 _let_55))) (let ((_let_98 (ASSUME :args (_let_55)))) (let ((_let_99 (ASSUME :args (_let_49)))) (let ((_let_100 (ASSUME :args (_let_26)))) (let ((_let_101 (ASSUME :args (_let_20)))) (let ((_let_102 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_100 _let_101 _let_102) :args (_let_18 _let_20 _let_26)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_102)) (CONG (SYMM _let_101) :args (APPLY_UF tptp.axiom)) (FALSE_INTRO _let_100))) :args (_let_26 _let_20 _let_18)) :args ((not (and _let_18 _let_20 _let_26)) SB_LITERAL))) (CONG (REFL :args ((not _let_18))) (REFL :args ((not _let_20))) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_21))) :args _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 _let_31 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_99) :args _let_78) (FALSE_INTRO _let_98))) :args (_let_55 _let_49))) :args (_let_49 _let_55))) :args (true _let_97)) (CONG (REFL :args (_let_96)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_50))) (REFL :args (_let_51)) :args _let_92)) :args ((or _let_50 _let_96 _let_51))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_54 _let_55 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_83 _let_80 (not _let_85)))) (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_78) (FALSE_INTRO _let_91))) :args _let_94)) :args _let_94)) :args (true _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_89))) (REFL :args (_let_90)) :args _let_92)) _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.p _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_24)) _let_25 :args (_let_89 false _let_8)) :args (_let_90 true _let_4 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_82 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_74)) _let_75 :args (_let_86 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_29)) _let_30 :args (_let_88 false _let_7)) :args (_let_82 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_12 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_85 false _let_6)) :args (_let_80 true _let_84 false _let_82 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_60 _let_53 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_76)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_77 _let_79) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_79) :args _let_78) (TRUE_INTRO _let_77))) :args (_let_69 _let_70))) :args (_let_70 _let_69))) :args (true _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_12 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_24)) _let_25 :args (_let_70 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_69 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A B)))) :args _let_74)) _let_75 :args (_let_71 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_29)) _let_30 :args (_let_73 false _let_7)) :args (_let_69 false _let_71 false _let_73)) :args (_let_59 false _let_70 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_62 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_13 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.or A (tptp.or B C))))) :args _let_46)) _let_47 :args (_let_65 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_29)) _let_30 :args (_let_67 false _let_7)) :args (_let_62 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_14 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_64 false _let_6)) :args (_let_53 false _let_59 false _let_62 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_32 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_57 false _let_6)) :args (_let_55 true _let_56 false _let_53 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_14 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_24)) _let_25 :args (_let_49 false _let_8)) :args (_let_51 true _let_50 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_35 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_2 _let_15 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_46)) _let_47 :args (_let_42 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_29)) _let_30 :args (_let_44 false _let_7)) :args (_let_35 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_33 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_38 false _let_6)) :args (_let_31 true _let_37 false _let_35 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.theorem X) true))))) :args _let_29)) _let_30 :args (_let_28 false _let_7)) :args (_let_26 true _let_27 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_1 _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.not X) Y)))) :args _let_24))) _let_25 :args (_let_20 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_1 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_22)) _let_23 :args (_let_18 false _let_11)) :args (false true _let_21 false _let_20 false _let_18)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))) _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 6.32/6.51 )
% 6.32/6.53 % SZS output end Proof for LCL178-3
% 6.32/6.53 % cvc5---1.0.5 exiting
% 6.32/6.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------