TSTP Solution File: LCL311-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 07:01:35 EDT 2023
% Result : Unsatisfiable 8.83s 9.07s
% Output : Proof 8.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n017.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Aug 25 04:10:39 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.WLzwa9d9iz/cvc5---1.0.5_16967.p...
% 0.21/0.51 ------- get file name : TPTP file name is LCL311-3
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16967.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.83/9.07 % SZS status Unsatisfiable for LCL311-3
% 8.83/9.07 % SZS output start Proof for LCL311-3
% 8.83/9.07 (
% 8.83/9.07 (let ((_let_1 (tptp.not tptp.p))) (let ((_let_2 (tptp.implies tptp.p _let_1))) (let ((_let_3 (tptp.equivalent _let_2 _let_1))) (let ((_let_4 (tptp.theorem _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.equivalent P Q) (tptp.and (tptp.implies P Q) (tptp.implies Q P)))))) (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 (forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))))) (let ((_let_15 (tptp.implies _let_2 _let_1))) (let ((_let_16 (tptp.theorem _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.implies _let_1 _let_2))) (let ((_let_19 (tptp.not _let_18))) (let ((_let_20 (tptp.not _let_15))) (let ((_let_21 (tptp.or _let_20 _let_19))) (let ((_let_22 (tptp.not _let_21))) (let ((_let_23 (tptp.implies _let_15 _let_22))) (let ((_let_24 (tptp.theorem _let_23))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.theorem _let_22))) (let ((_let_27 (or _let_26 _let_25 _let_17))) (let ((_let_28 (tptp.or _let_1 _let_1))) (let ((_let_29 (tptp.implies _let_28 _let_1))) (let ((_let_30 (tptp.theorem _let_29))) (let ((_let_31 (= _let_2 _let_28))) (let ((_let_32 (tptp.axiom _let_29))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_30 _let_33))) (let ((_let_35 (_let_9))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((not (= (tptp.axiom X) false))))) (let ((_let_38 (_let_14))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_10))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.implies X Y)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.p _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_31 false _let_10)))) (let ((_let_44 (and _let_31 _let_30))) (let ((_let_45 (ASSUME :args (_let_30)))) (let ((_let_46 (APPLY_UF tptp.theorem))) (let ((_let_47 (APPLY_UF tptp.implies))) (let ((_let_48 (REFL :args (_let_1)))) (let ((_let_49 (ASSUME :args (_let_31)))) (let ((_let_50 (SYMM (SYMM _let_49)))) (let ((_let_51 (_let_8))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 ((tptp.implies Y X)))) (let ((_let_54 (tptp.or _let_20 _let_22))) (let ((_let_55 (= _let_54 _let_23))) (let ((_let_56 (tptp.theorem _let_54))) (let ((_let_57 ((tptp.or (tptp.not X) Y)))) (let ((_let_58 (tptp.or _let_22 _let_20))) (let ((_let_59 (tptp.theorem _let_58))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.implies _let_58 _let_54))) (let ((_let_62 (tptp.theorem _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_56 _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 (_let_12))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.or A B)))) (let ((_let_71 (tptp.theorem _let_18))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.implies _let_18 _let_58))) (let ((_let_74 (tptp.theorem _let_73))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_59 _let_75 _let_72))) (let ((_let_77 (tptp.or _let_19 _let_58))) (let ((_let_78 (tptp.theorem _let_77))) (let ((_let_79 (= _let_77 _let_73))) (let ((_let_80 (tptp.or _let_19 _let_20))) (let ((_let_81 (tptp.or _let_22 _let_80))) (let ((_let_82 (tptp.theorem _let_81))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.implies _let_81 _let_77))) (let ((_let_85 (tptp.theorem _let_84))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_78 _let_86 _let_83))) (let ((_let_88 (tptp.axiom _let_84))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_85 _let_89))) (let ((_let_91 (_let_11))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (tptp.implies _let_21 _let_80))) (let ((_let_94 (= _let_93 _let_81))) (let ((_let_95 (tptp.theorem _let_93))) (let ((_let_96 (tptp.axiom _let_93))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_95 _let_97))) (let ((_let_99 (and _let_94 _let_95))) (let ((_let_100 (ASSUME :args (_let_95)))) (let ((_let_101 (ASSUME :args (_let_94)))) (let ((_let_102 (and _let_79 _let_78))) (let ((_let_103 (ASSUME :args (_let_78)))) (let ((_let_104 (ASSUME :args (_let_79)))) (let ((_let_105 (tptp.implies _let_1 _let_28))) (let ((_let_106 (tptp.theorem _let_105))) (let ((_let_107 (tptp.axiom _let_105))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_106 _let_108))) (let ((_let_110 (_let_13))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (and _let_31 _let_106))) (let ((_let_113 (ASSUME :args (_let_106)))) (let ((_let_114 (and _let_55 _let_56))) (let ((_let_115 (ASSUME :args (_let_56)))) (let ((_let_116 (ASSUME :args (_let_55)))) (let ((_let_117 (tptp.and _let_15 _let_18))) (let ((_let_118 (= _let_117 _let_22))) (let ((_let_119 (= _let_3 _let_117))) (let ((_let_120 (not _let_26))) (let ((_let_121 (_let_7))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (_let_6))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 (ASSUME :args (_let_5)))) (let ((_let_126 (and _let_5 _let_119 _let_118))) (let ((_let_127 (_let_5 _let_119 _let_118))) (let ((_let_128 (ASSUME :args (_let_119)))) (let ((_let_129 (ASSUME :args (_let_118)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_17 _let_26 _let_25 (not _let_27)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_128 _let_129) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_129) (SYMM _let_128)) :args _let_46) (FALSE_INTRO _let_125))) :args _let_127)) :args _let_127)) :args (true _let_126)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_119))) (REFL :args ((not _let_118))) (REFL :args (_let_120)) :args (or))) _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equivalent P Q)))) :args _let_123)) _let_124 :args (_let_119 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_15 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and P Q)))) :args _let_121)) _let_122 :args (_let_118 false _let_7)) :args (_let_120 true _let_4 false _let_119 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_115 _let_116) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_116) :args _let_46) (TRUE_INTRO _let_115))) :args (_let_56 _let_55))) :args (_let_55 _let_56))) :args (true _let_114)) :args ((or (not _let_56) (not _let_55) _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_60 _let_56 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_72 _let_59 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_49) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG _let_48 _let_50 :args _let_47) :args _let_46) (TRUE_INTRO _let_113))) :args (_let_106 _let_31))) :args (_let_31 _let_106))) :args (true _let_112)) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_108 _let_106 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_1 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or B A)))) :args _let_110)) _let_111 :args (_let_107 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_105 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_109 false _let_9)) :args (_let_106 false _let_107 false _let_109)) :args (_let_71 false _let_31 false _let_106)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_102)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_104) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_104) :args _let_46) (TRUE_INTRO _let_103))) :args (_let_78 _let_79))) :args (_let_79 _let_78))) :args (true _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_18 _let_58 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_40))) _let_41 :args (_let_79 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_83 _let_78 _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_99)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_100 _let_101) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_101) :args _let_46) (TRUE_INTRO _let_100))) :args (_let_95 _let_94))) :args (_let_94 _let_95))) :args (true _let_99)) :args ((or (not _let_95) (not _let_94) _let_82))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_95 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_96 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_98 false _let_9)) :args (_let_95 false _let_96 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_21 _let_80 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_94 false _let_10)) :args (_let_82 false _let_95 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_85 (not _let_90)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_22 _let_19 _let_20 QUANTIFIERS_INST_E_MATCHING ((tptp.or A (tptp.or B C))))) :args _let_91)) _let_92 :args (_let_88 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_90 false _let_9)) :args (_let_85 false _let_88 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_77 _let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_87 false _let_8)) :args (_let_78 false _let_82 false _let_85 false _let_87)) :args (_let_74 false _let_79 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_58 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_76 false _let_8)) :args (_let_59 false _let_71 false _let_74 false _let_76)) (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_69 :args (_let_22 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_65 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_67 false _let_9)) :args (_let_62 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_54 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_64 false _let_8)) :args (_let_56 false _let_59 false _let_62 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_15 _let_22 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_40))) _let_41 :args (_let_55 false _let_10)) :args (_let_24 false _let_56 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_22 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_27 false _let_8)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_49) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG _let_50 _let_48 :args _let_47) :args _let_46) (TRUE_INTRO _let_45))) :args (_let_30 _let_31))) :args (_let_31 _let_30))) :args (true _let_44)) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_30 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.or A A)))) :args _let_38)) _let_39 :args (_let_32 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_34 false _let_9)) :args (_let_30 false _let_32 false _let_34)) :args (_let_16 false _let_31 false _let_30)) :args (false true _let_26 false _let_24 false _let_27 false _let_16)) :args (_let_14 _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 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.83/9.07 )
% 8.91/9.10 % SZS output end Proof for LCL311-3
% 8.91/9.10 % cvc5---1.0.5 exiting
% 8.91/9.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------