TSTP Solution File: LAT044-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT044-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 0.20s 0.74s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT044-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 08:13:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.c28N9Lt6mO/cvc5---1.0.5_6951.p...
% 0.20/0.49 ------- get file name : TPTP file name is LAT044-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6951.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.74 % SZS status Unsatisfiable for LAT044-1
% 0.20/0.74 % SZS output start Proof for LAT044-1
% 0.20/0.75 (
% 0.20/0.75 (let ((_let_1 (tptp.meet tptp.a tptp.b))) (let ((_let_2 (tptp.complement tptp.b))) (let ((_let_3 (tptp.join tptp.a tptp.b))) (let ((_let_4 (tptp.complement tptp.a))) (let ((_let_5 (tptp.meet _let_4 _let_3))) (let ((_let_6 (tptp.join _let_5 (tptp.join _let_2 _let_1)))) (let ((_let_7 (not (= _let_6 tptp.n1)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.join X Y))) (= (tptp.join X (tptp.meet (tptp.complement X) _let_1)) _let_1))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.complement (tptp.complement X)) X)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.join (tptp.complement X) X) tptp.n1)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_18 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_19 (= tptp.n1 _let_6))) (let ((_let_20 (= tptp.a (tptp.join tptp.a _let_1)))) (let ((_let_21 (= _let_5 (tptp.meet _let_3 _let_4)))) (let ((_let_22 (tptp.join tptp.b tptp.a))) (let ((_let_23 (= _let_3 _let_22))) (let ((_let_24 (tptp.join _let_5 _let_2))) (let ((_let_25 (tptp.join _let_24 _let_1))) (let ((_let_26 (= _let_6 _let_25))) (let ((_let_27 (tptp.meet _let_4 _let_2))) (let ((_let_28 (tptp.complement _let_3))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (tptp.complement _let_1))) (let ((_let_31 (= _let_30 (tptp.join _let_4 _let_2)))) (let ((_let_32 (= tptp.b (tptp.meet tptp.b _let_22)))) (let ((_let_33 (tptp.join _let_4 _let_27))) (let ((_let_34 (= _let_4 _let_33))) (let ((_let_35 (= _let_25 (tptp.join _let_1 _let_24)))) (let ((_let_36 (tptp.complement _let_2))) (let ((_let_37 (tptp.complement _let_4))) (let ((_let_38 (= (tptp.complement _let_27) (tptp.join _let_37 _let_36)))) (let ((_let_39 (tptp.join _let_30 _let_1))) (let ((_let_40 (= tptp.n1 _let_39))) (let ((_let_41 (= tptp.b _let_36))) (let ((_let_42 (= tptp.a _let_37))) (let ((_let_43 (= _let_1 (tptp.join _let_1 _let_1)))) (let ((_let_44 (tptp.meet _let_3 tptp.b))) (let ((_let_45 (= _let_44 (tptp.meet tptp.b _let_3)))) (let ((_let_46 (= _let_33 (tptp.join _let_27 _let_4)))) (let ((_let_47 (= _let_39 (tptp.join _let_1 _let_30)))) (let ((_let_48 (tptp.join _let_28 _let_2))) (let ((_let_49 (= _let_48 (tptp.complement _let_44)))) (let ((_let_50 (= (tptp.join _let_27 _let_5) (tptp.join _let_5 _let_27)))) (let ((_let_51 (= (tptp.join (tptp.join _let_5 _let_28) _let_2) (tptp.join _let_5 _let_48)))) (let ((_let_52 (tptp.join _let_28 _let_4))) (let ((_let_53 (= _let_52 (tptp.join _let_28 (tptp.meet (tptp.complement _let_28) _let_52))))) (let ((_let_54 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.meet X Y)))) (let ((_let_58 (_let_15))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.meet X Y)))) (let ((_let_61 (_let_14))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.join X Y)))) (let ((_let_64 (_let_13))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((tptp.join X (tptp.join Y Z))))) (let ((_let_67 (_let_12))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (_let_11))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 ((tptp.meet X Y)))) (let ((_let_72 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.complement (tptp.complement X))))) (let ((_let_80 (forall ((X $$unsorted)) (= X (tptp.join X X))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.join X Y))) (= _let_1 (tptp.join X (tptp.meet (tptp.complement X) _let_1))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (and _let_20 _let_21 _let_23 _let_26 _let_29 _let_31 _let_32 _let_34 _let_35 _let_38 _let_40 _let_41 _let_42 _let_43 _let_45 _let_46 _let_47 _let_49 _let_50 _let_51 _let_53))) (let ((_let_85 (ASSUME :args (_let_26)))) (let ((_let_86 (ASSUME :args (_let_35)))) (let ((_let_87 (APPLY_UF tptp.join))) (let ((_let_88 (ASSUME :args (_let_43)))) (let ((_let_89 (APPLY_UF tptp.complement))) (let ((_let_90 (ASSUME :args (_let_41)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (ASSUME :args (_let_32)))) (let ((_let_93 (APPLY_UF tptp.meet))) (let ((_let_94 (ASSUME :args (_let_23)))) (let ((_let_95 (REFL :args (tptp.b)))) (let ((_let_96 (ASSUME :args (_let_45)))) (let ((_let_97 (ASSUME :args (_let_49)))) (let ((_let_98 (REFL :args (_let_5)))) (let ((_let_99 (ASSUME :args (_let_51)))) (let ((_let_100 (ASSUME :args (_let_29)))) (let ((_let_101 (ASSUME :args (_let_50)))) (let ((_let_102 (ASSUME :args (_let_21)))) (let ((_let_103 (ASSUME :args (_let_34)))) (let ((_let_104 (ASSUME :args (_let_46)))) (let ((_let_105 (CONG _let_100 (REFL :args (_let_4)) :args _let_87))) (let ((_let_106 (ASSUME :args (_let_20)))) (let ((_let_107 (ASSUME :args (_let_42)))) (let ((_let_108 (ASSUME :args (_let_38)))) (let ((_let_109 (ASSUME :args (_let_53)))) (let ((_let_110 (ASSUME :args (_let_31)))) (let ((_let_111 (ASSUME :args (_let_47)))) (let ((_let_112 (ASSUME :args (_let_40)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_86 _let_88 _let_90 _let_92 _let_94 _let_96 _let_97 _let_99 _let_100 _let_101 _let_102 _let_106 _let_107 _let_108 _let_103 _let_104 _let_109 _let_110 _let_111 _let_112) (SCOPE (TRANS (SYMM (SYMM _let_112)) (SYMM (SYMM _let_111)) (CONG _let_88 (TRANS (SYMM (SYMM _let_110)) (CONG (TRANS (TRANS _let_103 _let_104 (SYMM _let_105) (SYMM (SYMM _let_109)) (CONG _let_100 (TRANS (CONG (TRANS (CONG _let_100 :args _let_89) (SYMM (SYMM _let_108)) (CONG (TRANS (SYMM _let_107) _let_106) _let_91 :args _let_87) (CONG (SYMM _let_106) _let_95 :args _let_87)) (TRANS _let_105 (SYMM _let_104) (SYMM _let_103)) :args _let_93) (SYMM _let_102)) :args _let_87) (SYMM (SYMM _let_101))) (CONG _let_98 (SYMM _let_100) :args _let_87)) (REFL :args (_let_2)) :args _let_87) (SYMM (SYMM _let_99)) (CONG _let_98 (TRANS (SYMM (SYMM _let_97)) (CONG (TRANS (SYMM (SYMM _let_96)) (CONG _let_95 (SYMM (SYMM _let_94)) :args _let_93) (SYMM _let_92) _let_90) :args _let_89) (CONG _let_91 :args _let_89)) :args _let_87)) :args _let_87) (CONG (SYMM _let_88) (REFL :args (_let_24)) :args _let_87) (SYMM _let_86) (SYMM _let_85)) :args (_let_26 _let_35 _let_43 _let_41 _let_32 _let_23 _let_45 _let_49 _let_51 _let_29 _let_50 _let_21 _let_20 _let_42 _let_38 _let_34 _let_46 _let_53 _let_31 _let_47 _let_40))) :args (_let_20 _let_21 _let_23 _let_26 _let_29 _let_31 _let_32 _let_34 _let_35 _let_38 _let_40 _let_41 _let_42 _let_43 _let_45 _let_46 _let_47 _let_49 _let_50 _let_51 _let_53))) :args (true _let_84)) :args ((or _let_19 (not _let_20) (not _let_21) (not _let_23) (not _let_26) (not _let_29) (not _let_31) (not _let_32) (not _let_34) (not _let_35) (not _let_38) (not _let_40) (not _let_41) (not _let_42) (not _let_43) (not _let_45) (not _let_46) (not _let_47) (not _let_49) (not _let_50) (not _let_51) (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_28 _let_4 QUANTIFIERS_INST_E_MATCHING ((tptp.meet (tptp.complement X) (tptp.join X Y))))) :args (_let_82))) _let_83 :args (_let_53 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_5 _let_28 _let_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_51 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_27 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_50 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_3 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69))) _let_70 :args (_let_49 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_30 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_47 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_4 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_46 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_3 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_45 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X X)))) :args (_let_80))) _let_81 :args (_let_43 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.a QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_78)) _let_77 :args (_let_42 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_78)) _let_77 :args (_let_41 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X)))) :args (_let_74))) _let_75 :args (_let_40 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_4 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_38 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_24 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_4 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_34 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args (_let_72))) _let_73 :args (_let_32 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args _let_67)) _let_68 :args (_let_29 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_5 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64))) _let_65 :args (_let_26 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_23 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_21 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_20 false _let_54)) (SYMM (ASSUME :args (_let_7))) :args (false false _let_53 false _let_51 false _let_50 false _let_49 false _let_47 false _let_46 false _let_45 false _let_43 false _let_42 false _let_41 false _let_40 false _let_38 false _let_35 false _let_34 false _let_32 false _let_31 false _let_29 false _let_26 false _let_23 false _let_21 false _let_20 true _let_19)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) _let_18 _let_17 _let_16 _let_15 _let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) _let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted)) (= (tptp.meet (tptp.complement X) X) tptp.n0)) _let_9 _let_8 _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.75 )
% 0.20/0.75 % SZS output end Proof for LAT044-1
% 0.20/0.75 % cvc5---1.0.5 exiting
% 0.20/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------