TSTP Solution File: LAT011-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT011-1 : TPTP v8.1.2. Released v2.2.0.
% 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 06:02:36 EDT 2023
% Result : Unsatisfiable 0.20s 0.56s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT011-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 05:08:31 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7LzRpRLBZ2/cvc5---1.0.5_21543.p...
% 0.20/0.49 ------- get file name : TPTP file name is LAT011-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21543.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56 % SZS status Unsatisfiable for LAT011-1
% 0.20/0.56 % SZS output start Proof for LAT011-1
% 0.20/0.56 (
% 0.20/0.56 (let ((_let_1 (tptp.meet2 tptp.a tptp.b))) (let ((_let_2 (tptp.meet tptp.a tptp.b))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet2 (tptp.meet2 X Y) Z) (tptp.meet2 X (tptp.meet2 Y Z)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet2 X Y)) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet2 X (tptp.join X Y)) X)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet2 X Y) (tptp.meet2 Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_15 (= tptp.a (tptp.join tptp.a _let_2)))) (let ((_let_16 (tptp.meet tptp.b tptp.a))) (let ((_let_17 (= _let_2 _let_16))) (let ((_let_18 (tptp.meet2 tptp.b tptp.a))) (let ((_let_19 (= _let_1 _let_18))) (let ((_let_20 (tptp.join tptp.a _let_1))) (let ((_let_21 (= tptp.a _let_20))) (let ((_let_22 (= tptp.b (tptp.join tptp.b _let_16)))) (let ((_let_23 (tptp.join _let_1 _let_2))) (let ((_let_24 (tptp.join tptp.a _let_23))) (let ((_let_25 (= (tptp.join _let_20 _let_2) _let_24))) (let ((_let_26 (tptp.join tptp.b _let_18))) (let ((_let_27 (= tptp.b _let_26))) (let ((_let_28 (tptp.join _let_23 tptp.a))) (let ((_let_29 (= _let_24 _let_28))) (let ((_let_30 (tptp.join _let_18 tptp.b))) (let ((_let_31 (= _let_26 _let_30))) (let ((_let_32 (tptp.join _let_2 _let_1))) (let ((_let_33 (= _let_23 _let_32))) (let ((_let_34 (tptp.join _let_18 _let_16))) (let ((_let_35 (tptp.join tptp.b _let_34))) (let ((_let_36 (= (tptp.join _let_26 _let_16) _let_35))) (let ((_let_37 (tptp.meet2 _let_1 _let_23))) (let ((_let_38 (= _let_1 _let_37))) (let ((_let_39 (tptp.meet _let_2 _let_32))) (let ((_let_40 (= _let_2 _let_39))) (let ((_let_41 (tptp.meet _let_18 _let_30))) (let ((_let_42 (= _let_18 _let_41))) (let ((_let_43 (tptp.meet _let_23 _let_28))) (let ((_let_44 (= _let_23 _let_43))) (let ((_let_45 (tptp.join _let_34 tptp.b))) (let ((_let_46 (= _let_35 _let_45))) (let ((_let_47 (tptp.meet2 _let_23 _let_28))) (let ((_let_48 (= _let_23 _let_47))) (let ((_let_49 (tptp.meet2 tptp.b _let_23))) (let ((_let_50 (= _let_37 (tptp.meet2 tptp.a _let_49)))) (let ((_let_51 (= _let_41 (tptp.meet _let_30 _let_18)))) (let ((_let_52 (= _let_43 (tptp.meet _let_28 _let_23)))) (let ((_let_53 (= _let_39 (tptp.meet tptp.a (tptp.meet tptp.b _let_32))))) (let ((_let_54 (= _let_49 (tptp.meet2 _let_23 tptp.b)))) (let ((_let_55 (= _let_47 (tptp.meet2 _let_28 _let_23)))) (let ((_let_56 (= _let_34 (tptp.meet2 _let_34 _let_45)))) (let ((_let_57 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 ((tptp.meet X Y)))) (let ((_let_61 (_let_12))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.meet X Y)))) (let ((_let_64 (_let_8))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((tptp.meet2 X Y)))) (let ((_let_67 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet2 X Y)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_67))) (let ((_let_70 ((tptp.meet2 X Y)))) (let ((_let_71 (_let_9))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.join (tptp.join X Y) Z)))) (let ((_let_74 (_let_11))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((tptp.join X Y)))) (let ((_let_77 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet2 X (tptp.join X Y)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.join X Y)))) (let ((_let_81 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.join X Y)))) (let ((_let_85 (_let_5))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (_let_10))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (and _let_15 _let_17 _let_19 _let_21 _let_22 _let_25 _let_27 _let_29 _let_31 _let_33 _let_36 _let_38 _let_40 _let_42 _let_44 _let_46 _let_48 _let_50 _let_51 _let_52 _let_53 _let_54 _let_55 _let_56))) (let ((_let_90 (ASSUME :args (_let_38)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (ASSUME :args (_let_50)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (APPLY_UF tptp.meet2))) (let ((_let_95 (ASSUME :args (_let_54)))) (let ((_let_96 (ASSUME :args (_let_22)))) (let ((_let_97 (APPLY_UF tptp.join))) (let ((_let_98 (ASSUME :args (_let_27)))) (let ((_let_99 (ASSUME :args (_let_36)))) (let ((_let_100 (ASSUME :args (_let_46)))) (let ((_let_101 (ASSUME :args (_let_17)))) (let ((_let_102 (ASSUME :args (_let_19)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (CONG _let_103 (SYMM _let_101) :args _let_97))) (let ((_let_105 (ASSUME :args (_let_56)))) (let ((_let_106 (ASSUME :args (_let_15)))) (let ((_let_107 (ASSUME :args (_let_21)))) (let ((_let_108 (ASSUME :args (_let_25)))) (let ((_let_109 (ASSUME :args (_let_29)))) (let ((_let_110 (TRANS (SYMM _let_109) (SYMM _let_108) (CONG (SYMM _let_107) (REFL :args (_let_2)) :args _let_97) (SYMM _let_106)))) (let ((_let_111 (CONG _let_110 (TRANS (SYMM _let_104) (SYMM (SYMM _let_105)) (CONG _let_104 (TRANS (SYMM _let_100) (SYMM _let_99) (CONG (SYMM _let_98) (REFL :args (_let_16)) :args _let_97) (SYMM _let_96)) :args _let_94) (SYMM _let_95)) :args _let_94))) (let ((_let_112 (ASSUME :args (_let_55)))) (let ((_let_113 (SYMM _let_112))) (let ((_let_114 (SYMM _let_113))) (let ((_let_115 (ASSUME :args (_let_48)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (ASSUME :args (_let_44)))) (let ((_let_119 (ASSUME :args (_let_52)))) (let ((_let_120 (APPLY_UF tptp.meet))) (let ((_let_121 (ASSUME :args (_let_42)))) (let ((_let_122 (ASSUME :args (_let_51)))) (let ((_let_123 (ASSUME :args (_let_33)))) (let ((_let_124 (ASSUME :args (_let_31)))) (let ((_let_125 (ASSUME :args (_let_53)))) (let ((_let_126 (ASSUME :args (_let_40)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_92 _let_106 _let_107 _let_108 _let_109 _let_95 _let_102 _let_101 _let_96 _let_98 _let_99 _let_100 _let_105 _let_112 _let_115 _let_118 _let_119 _let_121 _let_122 _let_124 _let_123 _let_125 _let_126) (SCOPE (TRANS (SYMM (SYMM _let_126)) (SYMM (SYMM _let_125)) (CONG (SYMM _let_110) (TRANS (CONG (TRANS _let_98 (SYMM (SYMM _let_124))) (TRANS (SYMM _let_123) _let_117 _let_114 _let_111 _let_93 _let_91 _let_102) :args _let_120) (SYMM _let_122) (SYMM _let_121) _let_103 _let_90 _let_92 (SYMM _let_111) _let_113 _let_116) :args _let_120) (SYMM _let_119) (SYMM _let_118) _let_117 _let_114 _let_111 _let_93 _let_91) :args (_let_38 _let_50 _let_15 _let_21 _let_25 _let_29 _let_54 _let_19 _let_17 _let_22 _let_27 _let_36 _let_46 _let_56 _let_55 _let_48 _let_44 _let_52 _let_42 _let_51 _let_31 _let_33 _let_53 _let_40))) :args (_let_15 _let_17 _let_19 _let_21 _let_22 _let_25 _let_27 _let_29 _let_31 _let_33 _let_36 _let_38 _let_40 _let_42 _let_44 _let_46 _let_48 _let_50 _let_51 _let_52 _let_53 _let_54 _let_55 _let_56))) :args (true _let_89)) :args ((or _let_3 (not _let_15) (not _let_17) (not _let_19) (not _let_21) (not _let_22) (not _let_25) (not _let_27) (not _let_29) (not _let_31) (not _let_33) (not _let_36) (not _let_38) (not _let_40) (not _let_42) (not _let_44) (not _let_46) (not _let_48) (not _let_50) (not _let_51) (not _let_52) (not _let_53) (not _let_54) (not _let_55) (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_34 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_56 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_23 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_55 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.b _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_54 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.a tptp.b _let_32 QUANTIFIERS_INST_E_MATCHING ((tptp.meet (tptp.meet X Y) Z)))) :args _let_87)) _let_88 :args (_let_53 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_23 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_52 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_18 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_51 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.a tptp.b _let_23 QUANTIFIERS_INST_E_MATCHING ((tptp.meet2 (tptp.meet2 X Y) Z)))) :args _let_85)) _let_86 :args (_let_50 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_23 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_48 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.b _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_46 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_23 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_44 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_18 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_42 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_40 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_38 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b _let_18 _let_16 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_36 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_33 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.b _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.a _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_29 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_27 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.a _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_25 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) _let_58 :args (_let_22 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_21 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_19 false _let_8)) (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_17 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) _let_58 :args (_let_15 false _let_57)) (ASSUME :args (_let_4)) :args (false false _let_56 false _let_55 false _let_54 false _let_53 false _let_52 false _let_51 false _let_50 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_22 false _let_21 false _let_19 false _let_17 false _let_15 true _let_3)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((X $$unsorted)) (= (tptp.meet2 X X) X)) _let_8 _let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for LAT011-1
% 0.20/0.57 % cvc5---1.0.5 exiting
% 0.20/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------