TSTP Solution File: LAT036-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT036-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 06:02:41 EDT 2023
% Result : Unsatisfiable 0.75s 0.95s
% Output : Proof 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT036-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n014.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 08:28:03 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.nWUnYCAvMV/cvc5---1.0.5_9650.p...
% 0.20/0.49 ------- get file name : TPTP file name is LAT036-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9650.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.75/0.95 % SZS status Unsatisfiable for LAT036-1
% 0.75/0.95 % SZS output start Proof for LAT036-1
% 0.77/0.95 (
% 0.77/0.95 (let ((_let_1 (tptp.k tptp.aa))) (let ((_let_2 (tptp.k (tptp.meet tptp.bb tptp.cc)))) (let ((_let_3 (tptp.meet tptp.aa _let_2))) (let ((_let_4 (tptp.join _let_3 _let_1))) (let ((_let_5 (tptp.k tptp.bb))) (let ((_let_6 (tptp.k (tptp.join tptp.aa _let_5)))) (let ((_let_7 (tptp.k _let_6))) (let ((_let_8 (tptp.join _let_7 _let_4))) (let ((_let_9 (not (= _let_8 _let_4)))) (let ((_let_10 (tptp.join _let_5 (tptp.k tptp.cc)))) (let ((_let_11 (tptp.join _let_1 _let_10))) (let ((_let_12 (tptp.k _let_5))) (let ((_let_13 (tptp.k _let_12))) (let ((_let_14 (tptp.join _let_13 _let_11))) (let ((_let_15 (= _let_14 _let_11))) (let ((_let_16 (tptp.k _let_1))) (let ((_let_17 (tptp.join _let_16 _let_11))) (let ((_let_18 (= _let_17 _let_11))) (let ((_let_19 (tptp.join tptp.aa _let_1))) (let ((_let_20 (tptp.join _let_13 _let_19))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (tptp.join _let_16 _let_19))) (let ((_let_23 (= _let_22 _let_19))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.k (tptp.meet U V)) (tptp.join (tptp.k U) (tptp.k V)))))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.k (tptp.join U V)) (tptp.meet (tptp.k U) (tptp.k V)))))) (let ((_let_26 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.join Y Z)) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.meet Y Z)) (tptp.meet (tptp.join X Y) (tptp.join X Z)))))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_30 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_31 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_32 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_33 (= _let_19 _let_22))) (let ((_let_34 (= _let_19 _let_20))) (let ((_let_35 (= _let_11 _let_17))) (let ((_let_36 (= _let_11 _let_14))) (let ((_let_37 (= _let_4 _let_8))) (let ((_let_38 (tptp.meet _let_16 _let_22))) (let ((_let_39 (= _let_16 _let_38))) (let ((_let_40 (tptp.meet _let_16 _let_17))) (let ((_let_41 (= _let_16 _let_40))) (let ((_let_42 (tptp.meet _let_13 _let_20))) (let ((_let_43 (= _let_13 _let_42))) (let ((_let_44 (tptp.meet _let_13 _let_14))) (let ((_let_45 (= _let_13 _let_44))) (let ((_let_46 (tptp.join _let_1 tptp.aa))) (let ((_let_47 (= _let_19 _let_46))) (let ((_let_48 (tptp.join _let_1 _let_3))) (let ((_let_49 (= _let_4 _let_48))) (let ((_let_50 (= _let_8 (tptp.join _let_4 _let_7)))) (let ((_let_51 (tptp.meet _let_1 _let_12))) (let ((_let_52 (= _let_6 _let_51))) (let ((_let_53 (= _let_10 _let_2))) (let ((_let_54 (= _let_16 (tptp.join _let_16 _let_38)))) (let ((_let_55 (= _let_13 (tptp.join _let_13 _let_42)))) (let ((_let_56 (tptp.meet _let_17 _let_22))) (let ((_let_57 (tptp.meet _let_16 _let_56))) (let ((_let_58 (= (tptp.meet _let_40 _let_22) _let_57))) (let ((_let_59 (tptp.meet _let_14 _let_20))) (let ((_let_60 (tptp.meet _let_13 _let_59))) (let ((_let_61 (= (tptp.meet _let_44 _let_20) _let_60))) (let ((_let_62 (tptp.join _let_1 _let_2))) (let ((_let_63 (tptp.meet _let_46 _let_62))) (let ((_let_64 (= _let_48 _let_63))) (let ((_let_65 (tptp.join _let_16 _let_13))) (let ((_let_66 (= (tptp.k _let_51) _let_65))) (let ((_let_67 (= _let_4 (tptp.join _let_4 (tptp.meet _let_4 _let_7))))) (let ((_let_68 (= _let_63 (tptp.meet _let_62 _let_46)))) (let ((_let_69 (= _let_57 (tptp.meet _let_56 _let_16)))) (let ((_let_70 (= _let_60 (tptp.meet _let_59 _let_13)))) (let ((_let_71 (= (tptp.meet _let_4 _let_65) (tptp.join (tptp.meet _let_4 _let_16) (tptp.meet _let_4 _let_13))))) (let ((_let_72 (SYMM (ASSUME :args (_let_23))))) (let ((_let_73 (SYMM (ASSUME :args (_let_21))))) (let ((_let_74 (SYMM (ASSUME :args (_let_18))))) (let ((_let_75 (SYMM (ASSUME :args (_let_15))))) (let ((_let_76 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.join X Y)))) (let ((_let_80 (_let_29))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.join X Y)))) (let ((_let_83 (_let_25))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (_let_24))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.meet U V)))) (let ((_let_88 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.meet X Y)))) (let ((_let_92 (_let_28))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((tptp.meet (tptp.meet X Y) Z)))) (let ((_let_95 (_let_27))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (_let_30))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 ((tptp.meet X Y)))) (let ((_let_100 (_let_26))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 (and _let_33 _let_34 _let_35 _let_36 _let_39 _let_41 _let_43 _let_45 _let_47 _let_49 _let_50 _let_52 _let_53 _let_54 _let_55 _let_58 _let_61 _let_64 _let_66 _let_67 _let_68 _let_69 _let_70 _let_71))) (let ((_let_103 (ASSUME :args (_let_50)))) (let ((_let_104 (APPLY_UF tptp.join))) (let ((_let_105 (ASSUME :args (_let_52)))) (let ((_let_106 (CONG (SYMM _let_105) :args (APPLY_UF tptp.k)))) (let ((_let_107 (ASSUME :args (_let_66)))) (let ((_let_108 (ASSUME :args (_let_43)))) (let ((_let_109 (APPLY_UF tptp.meet))) (let ((_let_110 (ASSUME :args (_let_45)))) (let ((_let_111 (ASSUME :args (_let_61)))) (let ((_let_112 (ASSUME :args (_let_70)))) (let ((_let_113 (ASSUME :args (_let_55)))) (let ((_let_114 (REFL :args (_let_13)))) (let ((_let_115 (TRANS (CONG _let_114 _let_108 :args _let_104) (SYMM _let_113)))) (let ((_let_116 (SYMM _let_73))) (let ((_let_117 (SYMM _let_75))) (let ((_let_118 (CONG (TRANS (SYMM _let_74) (SYMM _let_117)) (TRANS (SYMM _let_72) (SYMM _let_116)) :args _let_109))) (let ((_let_119 (ASSUME :args (_let_47)))) (let ((_let_120 (TRANS (SYMM _let_119) _let_72))) (let ((_let_121 (ASSUME :args (_let_53)))) (let ((_let_122 (CONG (REFL :args (_let_1)) (SYMM _let_121) :args _let_104))) (let ((_let_123 (TRANS _let_122 _let_74))) (let ((_let_124 (ASSUME :args (_let_68)))) (let ((_let_125 (ASSUME :args (_let_64)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (ASSUME :args (_let_49)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (TRANS (SYMM _let_128) (SYMM _let_126) (SYMM (SYMM _let_124)) (CONG _let_123 _let_120 :args _let_109) _let_118))) (let ((_let_130 (TRANS (CONG (TRANS _let_116 _let_119) (TRANS _let_117 (SYMM _let_122)) :args _let_109) _let_126 _let_128))) (let ((_let_131 (ASSUME :args (_let_39)))) (let ((_let_132 (ASSUME :args (_let_41)))) (let ((_let_133 (ASSUME :args (_let_58)))) (let ((_let_134 (ASSUME :args (_let_69)))) (let ((_let_135 (ASSUME :args (_let_54)))) (let ((_let_136 (REFL :args (_let_16)))) (let ((_let_137 (TRANS (CONG _let_136 _let_131 :args _let_104) (SYMM _let_135)))) (let ((_let_138 (TRANS (CONG (SYMM _let_120) (SYMM _let_123) :args _let_109) _let_126 _let_128))) (let ((_let_139 (ASSUME :args (_let_71)))) (let ((_let_140 (REFL :args (_let_4)))) (let ((_let_141 (ASSUME :args (_let_67)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_102)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_105 _let_107 _let_131 _let_132 _let_133 _let_134 _let_74 _let_75 _let_72 _let_73 _let_135 _let_121 _let_119 _let_124 _let_125 _let_127 _let_108 _let_110 _let_111 _let_112 _let_113 _let_139 _let_141) (SCOPE (TRANS (SYMM (SYMM _let_141)) (CONG _let_140 (TRANS (CONG _let_140 (TRANS (SYMM _let_106) _let_107) :args _let_109) (SYMM (SYMM _let_139)) (CONG (TRANS (CONG (SYMM _let_138) _let_136 :args _let_109) (CONG (TRANS _let_138 _let_129 (SYMM _let_118)) (SYMM _let_137) :args _let_109) (CONG (REFL :args (_let_56)) _let_137 :args _let_109) (SYMM _let_134) (SYMM _let_133) (CONG (SYMM _let_132) (REFL :args (_let_22)) :args _let_109) (SYMM _let_131)) (TRANS (CONG (SYMM _let_130) _let_114 :args _let_109) (CONG (TRANS _let_130 _let_129) (SYMM _let_115) :args _let_109) (CONG (REFL :args (_let_59)) _let_115 :args _let_109) (SYMM _let_112) (SYMM _let_111) (CONG (SYMM _let_110) (REFL :args (_let_20)) :args _let_109) (SYMM _let_108)) :args _let_104) (SYMM _let_107) _let_106) :args _let_104) (SYMM _let_103)) :args (_let_50 _let_52 _let_66 _let_39 _let_41 _let_58 _let_69 _let_35 _let_36 _let_33 _let_34 _let_54 _let_53 _let_47 _let_68 _let_64 _let_49 _let_43 _let_45 _let_61 _let_70 _let_55 _let_71 _let_67))) :args (_let_33 _let_34 _let_35 _let_36 _let_39 _let_41 _let_43 _let_45 _let_47 _let_49 _let_50 _let_52 _let_53 _let_54 _let_55 _let_58 _let_61 _let_64 _let_66 _let_67 _let_68 _let_69 _let_70 _let_71))) :args (true _let_102)) :args ((or _let_37 (not _let_33) (not _let_34) (not _let_35) (not _let_36) (not _let_39) (not _let_41) (not _let_43) (not _let_45) (not _let_47) (not _let_49) (not _let_50) (not _let_52) (not _let_53) (not _let_54) (not _let_55) (not _let_58) (not _let_61) (not _let_64) (not _let_66) (not _let_67) (not _let_68) (not _let_69) (not _let_70) (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_4 _let_16 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.meet X (tptp.join Y Z))))) :args _let_100)) _let_101 :args (_let_71 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_13 _let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_70 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_16 _let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_69 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_46 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_68 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_4 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_67 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_1 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_66 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_1 tptp.aa _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.join X (tptp.meet Y Z))))) :args _let_95)) _let_96 :args (_let_64 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_13 _let_14 _let_20 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_61 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_16 _let_17 _let_22 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_58 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_13 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_55 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_16 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_54 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.bb tptp.cc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85))) _let_86 :args (_let_53 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.aa _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join U V)))) :args _let_83)) _let_84 :args (_let_52 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_7 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_50 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_49 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.aa _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_47 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_13 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_45 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_13 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_43 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_16 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_41 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_16 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_39 false _let_76)) (SYMM (ASSUME :args (_let_9))) _let_75 _let_74 _let_73 _let_72 :args (false false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_64 false _let_61 false _let_58 false _let_55 false _let_54 false _let_53 false _let_52 false _let_50 false _let_49 false _let_47 false _let_45 false _let_43 false _let_41 false _let_39 true _let_37 false _let_36 false _let_35 false _let_34 false _let_33)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) _let_32 _let_31 _let_30 _let_29 _let_28 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) _let_27 _let_26 (forall ((X $$unsorted)) (= (tptp.meet X tptp.n0) tptp.n0)) (forall ((X $$unsorted)) (= (tptp.join X tptp.n0) X)) (forall ((X $$unsorted)) (= (tptp.meet X tptp.n1) X)) (forall ((X $$unsorted)) (= (tptp.join X tptp.n1) tptp.n1)) (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Z) X)) (= (tptp.meet Z (tptp.join X Y)) (tptp.join X (tptp.meet Y Z))))) _let_25 _let_24 (= (tptp.k tptp.n0) tptp.n1) (= (tptp.k tptp.n1) tptp.n0) _let_23 _let_21 _let_18 _let_15 _let_9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.77/0.95 )
% 0.77/0.96 % SZS output end Proof for LAT036-1
% 0.77/0.96 % cvc5---1.0.5 exiting
% 0.77/0.96 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------