TSTP Solution File: LAT237-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT237-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 06:03:18 EDT 2023
% Result : Unsatisfiable 20.50s 20.98s
% Output : Proof 20.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT237-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.18/0.35 % Computer : n019.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 24 04:51:28 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.t9QAEFXSvL/cvc5---1.0.5_27891.p...
% 0.21/0.50 ------- get file name : TPTP file name is LAT237-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27891.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.45/10.64 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.47/15.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.46/20.67 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.50/20.98 % SZS status Unsatisfiable for LAT237-1
% 20.50/20.98 % SZS output start Proof for LAT237-1
% 20.50/20.98 (
% 20.50/20.98 (let ((_let_1 (tptp.complement tptp.a))) (let ((_let_2 (tptp.complement tptp.b))) (let ((_let_3 (tptp.join _let_2 _let_1))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.meet tptp.b tptp.a))) (let ((_let_6 (= _let_5 tptp.a))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join X U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Z (tptp.join X Y)))))))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Y) tptp.zero)) (not (= (tptp.join X Y) tptp.one)) (= (tptp.complement X) Y))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.meet X (tptp.complement X)) tptp.zero)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.join X (tptp.complement X)) tptp.one)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_17 (tptp.join _let_1 _let_2))) (let ((_let_18 (= tptp.zero (tptp.meet tptp.a _let_17)))) (let ((_let_19 (= _let_1 _let_17))) (let ((_let_20 (tptp.join tptp.a _let_17))) (let ((_let_21 (= tptp.one _let_20))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_18))) (let ((_let_24 (or _let_23 _let_22 _let_19))) (let ((_let_25 (tptp.join tptp.a _let_1))) (let ((_let_26 (= (tptp.meet tptp.a (tptp.join _let_1 (tptp.meet _let_2 (tptp.join tptp.a tptp.b)))) (tptp.meet tptp.a (tptp.join _let_1 (tptp.meet _let_2 (tptp.join tptp.b (tptp.meet _let_2 _let_25)))))))) (let ((_let_27 (= _let_2 (tptp.meet _let_2 (tptp.join _let_2 tptp.one))))) (let ((_let_28 (tptp.meet tptp.b _let_2))) (let ((_let_29 (= _let_28 (tptp.meet _let_2 tptp.b)))) (let ((_let_30 (tptp.join _let_25 _let_2))) (let ((_let_31 (= _let_30 (tptp.join _let_2 _let_25)))) (let ((_let_32 (= tptp.zero _let_28))) (let ((_let_33 (tptp.meet _let_1 tptp.a))) (let ((_let_34 (tptp.meet tptp.a _let_1))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (= _let_1 (tptp.join _let_1 _let_33)))) (let ((_let_37 (tptp.join _let_2 _let_2))) (let ((_let_38 (tptp.join tptp.b _let_2))) (let ((_let_39 (= (tptp.join _let_38 _let_2) (tptp.join tptp.b _let_37)))) (let ((_let_40 (tptp.join tptp.b _let_5))) (let ((_let_41 (= _let_40 (tptp.join _let_5 tptp.b)))) (let ((_let_42 (= tptp.one _let_38))) (let ((_let_43 (= tptp.b _let_40))) (let ((_let_44 (= tptp.zero _let_34))) (let ((_let_45 (= tptp.one _let_25))) (let ((_let_46 (= _let_2 _let_37))) (let ((_let_47 (= tptp.a _let_5))) (let ((_let_48 (_let_7))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_13))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_12))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 (tptp.b QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_60 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 (_let_11))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.b _let_2 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_39 false _let_11)))) (let ((_let_66 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_59) :args _let_68)) _let_67 :args (_let_42 false _let_66)))) (let ((_let_70 (tptp.a QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_70) :args _let_68)) _let_67 :args (_let_45 false _let_66)))) (let ((_let_72 (forall ((X $$unsorted)) (= X (tptp.join X X))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_72))) _let_73 :args (_let_46 false _let_72)))) (let ((_let_75 (SYMM (ASSUME :args (_let_6))))) (let ((_let_76 (and _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_39 _let_36 _let_35 _let_32 _let_31 _let_29 _let_27 _let_26))) (let ((_let_77 (APPLY_UF tptp.meet))) (let ((_let_78 (APPLY_UF tptp.join))) (let ((_let_79 (ASSUME :args (_let_27)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (ASSUME :args (_let_45)))) (let ((_let_82 (SYMM (SYMM _let_81)))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (REFL :args (_let_2)))) (let ((_let_85 (ASSUME :args (_let_31)))) (let ((_let_86 (ASSUME :args (_let_42)))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (CONG (TRANS _let_87 _let_82) _let_84 :args _let_78))) (let ((_let_89 (ASSUME :args (_let_39)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (ASSUME :args (_let_46)))) (let ((_let_92 (REFL :args (tptp.b)))) (let ((_let_93 (CONG _let_92 (SYMM (SYMM _let_91)) :args _let_78))) (let ((_let_94 (CONG _let_84 (TRANS _let_86 _let_93 _let_90 _let_88 (SYMM (SYMM _let_85)) (CONG _let_84 _let_83 :args _let_78)) :args _let_77))) (let ((_let_95 (REFL :args (_let_1)))) (let ((_let_96 (REFL :args (tptp.a)))) (let ((_let_97 (ASSUME :args (_let_26)))) (let ((_let_98 (ASSUME :args (_let_41)))) (let ((_let_99 (ASSUME :args (_let_43)))) (let ((_let_100 (ASSUME :args (_let_29)))) (let ((_let_101 (ASSUME :args (_let_32)))) (let ((_let_102 (ASSUME :args (_let_44)))) (let ((_let_103 (ASSUME :args (_let_35)))) (let ((_let_104 (ASSUME :args (_let_36)))) (let ((_let_105 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (= _let_3 _let_17))) (let ((_let_108 (= _let_1 _let_3))) (let ((_let_109 (not _let_19))) (let ((_let_110 (SYMM (ASSUME :args (_let_4))))) (let ((_let_111 (not _let_108))) (let ((_let_112 (and _let_111 _let_107))) (let ((_let_113 (_let_111 _let_107))) (let ((_let_114 (ASSUME :args (_let_107)))) (let ((_let_115 (= _let_30 _let_20))) (let ((_let_116 (and _let_46 _let_45 _let_42 _let_115 _let_39))) (let ((_let_117 (ASSUME :args (_let_115)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_22 _let_19 (not _let_24)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_116)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_81 _let_86 _let_89 _let_91) (SCOPE (TRANS _let_86 _let_93 _let_90 _let_88 (SYMM (SYMM _let_117))) :args (_let_115 _let_45 _let_42 _let_39 _let_46))) :args (_let_46 _let_45 _let_42 _let_115 _let_39))) :args (true _let_116)) _let_74 _let_71 _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a _let_1 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_115 false _let_11)) _let_65 :args (_let_21 false _let_46 false _let_45 false _let_42 false _let_115 false _let_39)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_114) (SCOPE (FALSE_ELIM (TRANS (CONG _let_95 (SYMM _let_114) :args (=)) (FALSE_INTRO _let_110))) :args _let_113)) :args _let_113)) :args (true _let_112)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_108))) (REFL :args ((not _let_107))) (REFL :args (_let_109)) :args (or))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_2 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_55 :args (_let_107 false _let_12)) :args (_let_109 true _let_108 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.a _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_105)))) _let_106 :args (_let_24 false _let_105)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_76)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_81 _let_85 _let_86 _let_89 _let_91 _let_97 _let_75 _let_98 _let_99 _let_100 _let_101 _let_102 _let_103 _let_104) (SCOPE (TRANS _let_102 (CONG _let_96 (TRANS (SYMM (SYMM _let_104)) (CONG _let_95 (TRANS (SYMM _let_103) (SYMM _let_102)) :args _let_78) (CONG _let_95 (TRANS (SYMM (SYMM _let_101)) (SYMM (SYMM _let_100)) (CONG _let_84 (TRANS (SYMM (SYMM _let_99)) (SYMM (SYMM _let_98)) (CONG (SYMM _let_75) _let_92 :args _let_78)) :args _let_77)) :args _let_78)) :args _let_77) (SYMM (SYMM _let_97)) (CONG _let_96 (CONG _let_95 (TRANS (CONG _let_84 (TRANS (CONG _let_92 (TRANS (CONG _let_84 _let_83 :args _let_77) _let_94 _let_80) :args _let_78) _let_87) :args _let_77) _let_94 _let_80) :args _let_78) :args _let_77)) :args (_let_27 _let_45 _let_31 _let_42 _let_39 _let_46 _let_26 _let_47 _let_41 _let_43 _let_29 _let_32 _let_44 _let_35 _let_36))) :args (_let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_39 _let_36 _let_35 _let_32 _let_31 _let_29 _let_27 _let_26))) :args (true _let_76)) _let_75 _let_74 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_70) :args _let_58)) _let_57 :args (_let_44 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.b tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_62)) _let_61 :args (_let_43 false _let_60)) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.b _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_55 :args (_let_41 false _let_12)) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_1 tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_62)) _let_61 :args (_let_36 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.a _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_52)) _let_53 :args (_let_35 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_59) :args _let_58)) _let_57 :args (_let_32 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_25 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_55 :args (_let_31 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.b _let_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_52)) _let_53 :args (_let_29 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_2 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args (_let_50))) _let_51 :args (_let_27 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a _let_1 _let_2 tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) _let_49 :args (_let_26 false _let_7)) :args (_let_18 false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_39 false _let_36 false _let_35 false _let_32 false _let_31 false _let_29 false _let_27 false _let_26)) :args (false false _let_21 true _let_19 false _let_24 false _let_18)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) _let_16 _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.50/20.98 )
% 20.50/20.98 % SZS output end Proof for LAT237-1
% 20.50/20.99 % cvc5---1.0.5 exiting
% 20.50/20.99 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------