TSTP Solution File: LAT045-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 06:02:44 EDT 2023
% Result : Unsatisfiable 0.22s 0.59s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 08:06:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6IYTX1QMrw/cvc5---1.0.5_1398.p...
% 0.22/0.50 ------- get file name : TPTP file name is LAT045-1
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1398.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.59 % SZS status Unsatisfiable for LAT045-1
% 0.22/0.59 % SZS output start Proof for LAT045-1
% 0.22/0.59 (
% 0.22/0.59 (let ((_let_1 (tptp.join tptp.a tptp.b))) (let ((_let_2 (tptp.complement tptp.a))) (let ((_let_3 (tptp.meet _let_2 _let_1))) (let ((_let_4 (tptp.join tptp.a _let_3))) (let ((_let_5 (not (= _let_4 _let_1)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.join X Z))) (= (tptp.join X (tptp.meet Y _let_1)) (tptp.meet (tptp.join X Y) _let_1)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.complement (tptp.complement X)) X)))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.meet (tptp.complement X) X) tptp.n0)))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.join (tptp.complement X) X) tptp.n1)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))))) (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.join X (tptp.meet X Y)) X)))) (let ((_let_14 (= _let_1 _let_4))) (let ((_let_15 (tptp.complement tptp.b))) (let ((_let_16 (tptp.meet _let_2 _let_15))) (let ((_let_17 (tptp.complement _let_1))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (= (tptp.complement _let_4) (tptp.meet _let_2 (tptp.complement _let_3))))) (let ((_let_20 (tptp.join _let_2 tptp.a))) (let ((_let_21 (= tptp.n1 _let_20))) (let ((_let_22 (tptp.meet _let_2 tptp.a))) (let ((_let_23 (= tptp.n0 _let_22))) (let ((_let_24 (tptp.join tptp.a _let_2))) (let ((_let_25 (tptp.meet _let_24 _let_1))) (let ((_let_26 (= _let_4 _let_25))) (let ((_let_27 (= _let_20 _let_24))) (let ((_let_28 (tptp.complement _let_2))) (let ((_let_29 (tptp.meet _let_28 _let_2))) (let ((_let_30 (= (tptp.complement _let_20) _let_29))) (let ((_let_31 (tptp.join _let_28 _let_2))) (let ((_let_32 (= (tptp.complement _let_22) _let_31))) (let ((_let_33 (= (tptp.complement _let_16) (tptp.join _let_28 (tptp.complement _let_15))))) (let ((_let_34 (tptp.complement _let_24))) (let ((_let_35 (tptp.join _let_34 _let_17))) (let ((_let_36 (= (tptp.complement _let_25) _let_35))) (let ((_let_37 (= tptp.n1 _let_31))) (let ((_let_38 (tptp.meet _let_17 _let_1))) (let ((_let_39 (= tptp.n0 _let_38))) (let ((_let_40 (= tptp.n0 _let_29))) (let ((_let_41 (= tptp.a _let_28))) (let ((_let_42 (= _let_17 (tptp.join _let_17 _let_38)))) (let ((_let_43 (= _let_35 (tptp.join _let_17 _let_34)))) (let ((_let_44 (tptp.complement _let_17))) (let ((_let_45 (= (tptp.complement _let_35) (tptp.meet (tptp.complement _let_34) _let_44)))) (let ((_let_46 (= _let_1 _let_44))) (let ((_let_47 (_let_11))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.join X Y)))) (let ((_let_50 (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 ((tptp.complement X)))) (let ((_let_54 (forall ((X $$unsorted)) (= tptp.n0 (tptp.meet (tptp.complement X) X))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.complement X)))) (let ((_let_58 (_let_6))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (_let_12))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((tptp.join X Y)))) (let ((_let_63 (_let_10))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.meet X Y)))) (let ((_let_66 (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((tptp.complement (tptp.complement X))))) (let ((_let_70 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (and _let_18 _let_19 _let_21 _let_23 _let_26 _let_27 _let_30 _let_32 _let_33 _let_36 _let_37 _let_39 _let_40 _let_41 _let_42 _let_43 _let_45 _let_46))) (let ((_let_73 (ASSUME :args (_let_26)))) (let ((_let_74 (APPLY_UF tptp.meet))) (let ((_let_75 (ASSUME :args (_let_46)))) (let ((_let_76 (APPLY_UF tptp.complement))) (let ((_let_77 (ASSUME :args (_let_18)))) (let ((_let_78 (CONG (SYMM _let_77) :args _let_76))) (let ((_let_79 (ASSUME :args (_let_33)))) (let ((_let_80 (APPLY_UF tptp.join))) (let ((_let_81 (ASSUME :args (_let_41)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (CONG _let_82 (CONG _let_82 :args _let_76) :args _let_80))) (let ((_let_84 (ASSUME :args (_let_27)))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (ASSUME :args (_let_21)))) (let ((_let_87 (ASSUME :args (_let_37)))) (let ((_let_88 (ASSUME :args (_let_32)))) (let ((_let_89 (ASSUME :args (_let_23)))) (let ((_let_90 (ASSUME :args (_let_40)))) (let ((_let_91 (ASSUME :args (_let_30)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (CONG _let_85 :args _let_76))) (let ((_let_94 (ASSUME :args (_let_45)))) (let ((_let_95 (ASSUME :args (_let_36)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (CONG _let_73 :args _let_76))) (let ((_let_98 (ASSUME :args (_let_19)))) (let ((_let_99 (ASSUME :args (_let_43)))) (let ((_let_100 (ASSUME :args (_let_39)))) (let ((_let_101 (ASSUME :args (_let_42)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_73 _let_81 _let_75 _let_77 _let_79 _let_84 _let_86 _let_87 _let_88 _let_89 _let_90 _let_91 _let_94 _let_95 _let_98 _let_99 _let_100 _let_101) (SCOPE (TRANS _let_75 (CONG (TRANS (SYMM (SYMM _let_101)) (CONG (REFL :args (_let_17)) (TRANS (SYMM _let_100) _let_90 _let_92 (SYMM _let_93)) :args _let_80) (SYMM _let_99) _let_96 (SYMM _let_97) _let_98) :args _let_76) (CONG (TRANS (SYMM _let_98) _let_97 (SYMM _let_96)) :args _let_76) (SYMM (SYMM _let_94)) (CONG (TRANS (TRANS (CONG (TRANS _let_93 (SYMM _let_92) (SYMM _let_90) (SYMM (SYMM _let_89))) :args _let_76) (SYMM (SYMM _let_88)) (SYMM _let_87) (SYMM (SYMM _let_86)) (SYMM _let_85)) (SYMM _let_83)) (TRANS (SYMM _let_78) _let_79) :args _let_74) (CONG _let_83 (TRANS (SYMM _let_79) _let_78 (SYMM _let_75)) :args _let_74) (SYMM _let_73)) :args (_let_26 _let_41 _let_46 _let_18 _let_33 _let_27 _let_21 _let_37 _let_32 _let_23 _let_40 _let_30 _let_45 _let_36 _let_19 _let_43 _let_39 _let_42))) :args (_let_18 _let_19 _let_21 _let_23 _let_26 _let_27 _let_30 _let_32 _let_33 _let_36 _let_37 _let_39 _let_40 _let_41 _let_42 _let_43 _let_45 _let_46))) :args (true _let_72)) :args ((or _let_14 (not _let_18) (not _let_19) (not _let_21) (not _let_23) (not _let_26) (not _let_27) (not _let_30) (not _let_32) (not _let_33) (not _let_36) (not _let_37) (not _let_39) (not _let_40) (not _let_41) (not _let_42) (not _let_43) (not _let_45) (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_68)) _let_67 :args (_let_46 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_34 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_45 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_34 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_43 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_17 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet X Y)))) :args (_let_70))) _let_71 :args (_let_42 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.a QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_68)) _let_67 :args (_let_41 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_40 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_39 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_52)) _let_51 :args (_let_37 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_24 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_36 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_32 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_30 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60))) _let_61 :args (_let_27 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.a _let_2 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.join X (tptp.meet Y (tptp.join X Z)))))) :args _let_58)) _let_59 :args (_let_26 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_23 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_52)) _let_51 :args (_let_21 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_19 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_18 false _let_11)) (SYMM (ASSUME :args (_let_5))) :args (false false _let_46 false _let_45 false _let_43 false _let_42 false _let_41 false _let_40 false _let_39 false _let_37 false _let_36 false _let_33 false _let_32 false _let_30 false _let_27 false _let_26 false _let_23 false _let_21 false _let_19 false _let_18 true _let_14)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) _let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.59 )
% 0.22/0.60 % SZS output end Proof for LAT045-1
% 0.22/0.60 % cvc5---1.0.5 exiting
% 0.22/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------