TSTP Solution File: LAT143-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT143-1 : TPTP v8.1.2. Released v3.1.0.
% 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 06:03:00 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT143-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 09:53:22 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OOyVbd57iF/cvc5---1.0.5_8329.p...
% 0.21/0.50 ------- get file name : TPTP file name is LAT143-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8329.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.64 % SZS status Unsatisfiable for LAT143-1
% 0.21/0.64 % SZS output start Proof for LAT143-1
% 0.21/0.64 (
% 0.21/0.64 (let ((_let_1 (tptp.join tptp.a tptp.b))) (let ((_let_2 (tptp.meet tptp.c _let_1))) (let ((_let_3 (tptp.meet tptp.a tptp.c))) (let ((_let_4 (tptp.join _let_3 _let_2))) (let ((_let_5 (tptp.meet tptp.a tptp.b))) (let ((_let_6 (tptp.join _let_5 _let_4))) (let ((_let_7 (tptp.meet tptp.a _let_6))) (let ((_let_8 (tptp.join _let_5 _let_3))) (let ((_let_9 (tptp.meet tptp.a _let_8))) (let ((_let_10 (= _let_9 _let_7))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.meet X Y))) (= (tptp.join _let_1 (tptp.meet Y Z)) (tptp.join _let_1 (tptp.meet Y (tptp.join _let_1 (tptp.meet Z (tptp.join X Y)))))))))) (let ((_let_13 (forall ((X $$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) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_19 (tptp.meet tptp.a _let_1))) (let ((_let_20 (= tptp.a _let_19))) (let ((_let_21 (tptp.meet tptp.b tptp.a))) (let ((_let_22 (= _let_5 _let_21))) (let ((_let_23 (= _let_9 (tptp.meet _let_8 tptp.a)))) (let ((_let_24 (= _let_7 (tptp.meet _let_6 tptp.a)))) (let ((_let_25 (tptp.meet _let_1 tptp.c))) (let ((_let_26 (= _let_2 _let_25))) (let ((_let_27 (tptp.join tptp.b tptp.a))) (let ((_let_28 (= _let_1 _let_27))) (let ((_let_29 (= _let_4 (tptp.join _let_2 _let_3)))) (let ((_let_30 (tptp.join _let_8 _let_2))) (let ((_let_31 (= _let_6 _let_30))) (let ((_let_32 (tptp.meet _let_8 _let_30))) (let ((_let_33 (= _let_8 _let_32))) (let ((_let_34 (= _let_5 (tptp.join _let_5 (tptp.meet _let_5 _let_4))))) (let ((_let_35 (tptp.meet tptp.a _let_25))) (let ((_let_36 (= (tptp.meet _let_19 tptp.c) _let_35))) (let ((_let_37 (= (tptp.meet _let_19 _let_1) (tptp.meet tptp.a (tptp.meet _let_1 _let_1))))) (let ((_let_38 (tptp.join _let_21 (tptp.meet tptp.c _let_27)))) (let ((_let_39 (tptp.meet tptp.a _let_38))) (let ((_let_40 (tptp.join _let_21 _let_39))) (let ((_let_41 (= (tptp.join _let_21 _let_3) _let_40))) (let ((_let_42 (= _let_7 (tptp.meet _let_7 (tptp.join _let_7 _let_5))))) (let ((_let_43 (= _let_2 (tptp.join _let_2 (tptp.meet _let_2 tptp.a))))) (let ((_let_44 (= _let_35 (tptp.meet _let_25 tptp.a)))) (let ((_let_45 (= (tptp.meet _let_7 _let_8) (tptp.meet _let_8 _let_7)))) (let ((_let_46 (= _let_40 (tptp.join _let_39 _let_21)))) (let ((_let_47 (= (tptp.meet _let_32 tptp.a) (tptp.meet _let_8 (tptp.meet _let_30 tptp.a))))) (let ((_let_48 (ASSUME :args (_let_11)))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((tptp.join X Y)))) (let ((_let_53 (_let_16))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((tptp.meet X Y)))) (let ((_let_56 (_let_15))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.join X Y)))) (let ((_let_59 (_let_13))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 ((tptp.meet X Y)))) (let ((_let_65 (_let_14))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 ((tptp.meet (tptp.meet X Y) Z)))) (let ((_let_68 (_let_12))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (and _let_11 _let_20 _let_22 _let_23 _let_24 _let_26 _let_28 _let_29 _let_31 _let_33 _let_34 _let_36 _let_37 _let_41 _let_42 _let_43 _let_44 _let_45 _let_46))) (let ((_let_71 (ASSUME :args (_let_42)))) (let ((_let_72 (APPLY_UF tptp.meet))) (let ((_let_73 (APPLY_UF tptp.join))) (let ((_let_74 (ASSUME :args (_let_22)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (ASSUME :args (_let_34)))) (let ((_let_77 (ASSUME :args (_let_29)))) (let ((_let_78 (REFL :args (tptp.c)))) (let ((_let_79 (ASSUME :args (_let_20)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (ASSUME :args (_let_36)))) (let ((_let_82 (ASSUME :args (_let_44)))) (let ((_let_83 (REFL :args (tptp.a)))) (let ((_let_84 (ASSUME :args (_let_26)))) (let ((_let_85 (ASSUME :args (_let_43)))) (let ((_let_86 (ASSUME :args (_let_28)))) (let ((_let_87 (ASSUME :args (_let_37)))) (let ((_let_88 (TRANS (SYMM _let_87) (CONG _let_80 (REFL :args (_let_1)) :args _let_72) _let_80))) (let ((_let_89 (ASSUME :args (_let_46)))) (let ((_let_90 (ASSUME :args (_let_41)))) (let ((_let_91 (ASSUME :args (_let_45)))) (let ((_let_92 (ASSUME :args (_let_24)))) (let ((_let_93 (ASSUME :args (_let_31)))) (let ((_let_94 (ASSUME :args (_let_23)))) (let ((_let_95 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_94 _let_95 _let_71 _let_92 _let_79 _let_87 _let_76 _let_77 _let_81 _let_82 _let_84 _let_85 _let_74 _let_86 _let_89 _let_90 _let_91 _let_93) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_95) _let_83 :args _let_72) (SYMM _let_94)) (TRANS (CONG (REFL :args (_let_8)) (TRANS (CONG (SYMM _let_93) _let_83 :args _let_72) (SYMM _let_92)) :args _let_72) (SYMM _let_91) (CONG (REFL :args (_let_7)) (TRANS (CONG _let_74 (REFL :args (_let_3)) :args _let_73) (SYMM (SYMM _let_90)) (SYMM (SYMM _let_89)) (CONG (TRANS (CONG (SYMM _let_88) (REFL :args (_let_38)) :args _let_72) (CONG _let_88 (TRANS (CONG _let_75 (CONG _let_78 (SYMM _let_86) :args _let_72) :args _let_73) (CONG _let_76 (TRANS (SYMM (SYMM _let_85)) (CONG (REFL :args (_let_2)) (TRANS (CONG (SYMM (SYMM _let_84)) _let_83 :args _let_72) (SYMM _let_82) (SYMM _let_81) (CONG _let_80 _let_78 :args _let_72)) :args _let_73) (SYMM _let_77)) :args _let_73) (CONG (SYMM _let_76) (REFL :args (_let_4)) :args _let_73)) :args _let_72)) _let_75 :args _let_73)) :args _let_72) (SYMM _let_71)) :args (=)) (FALSE_INTRO _let_48))) :args (_let_11 _let_23 _let_33 _let_42 _let_24 _let_20 _let_37 _let_34 _let_29 _let_36 _let_44 _let_26 _let_43 _let_22 _let_28 _let_46 _let_41 _let_45 _let_31))) :args (_let_11 _let_20 _let_22 _let_23 _let_24 _let_26 _let_28 _let_29 _let_31 _let_33 _let_34 _let_36 _let_37 _let_41 _let_42 _let_43 _let_44 _let_45 _let_46))) :args (true _let_70)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_23))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_33))) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_37))) (REFL :args ((not _let_41))) (REFL :args ((not _let_42))) (REFL :args ((not _let_43))) (REFL :args ((not _let_44))) (REFL :args ((not _let_45))) (REFL :args ((not _let_46))) (REFL :args ((not _let_47))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_8 _let_30 tptp.a QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_66 :args (_let_47 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_21 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_46 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_7 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_45 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_44 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) _let_62 :args (_let_43 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_7 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_42 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.b tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.meet Z (tptp.join X Y))))) :args _let_68)) _let_69 :args (_let_41 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.a _let_1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_66 :args (_let_37 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.a _let_1 tptp.c QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_66 :args (_let_36 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_5 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) _let_62 :args (_let_34 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_8 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_33 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_5 _let_3 _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.join X (tptp.join Y Z))))) :args _let_59))) _let_60 :args (_let_31 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_29 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_28 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.c _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_26 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_24 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_23 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_22 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_20 false _let_49)) _let_48 :args (false false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_37 false _let_36 false _let_34 false _let_33 false _let_31 false _let_29 false _let_28 false _let_26 false _let_24 false _let_23 false _let_22 false _let_20 true _let_10)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.64 )
% 0.21/0.64 % SZS output end Proof for LAT143-1
% 0.21/0.65 % cvc5---1.0.5 exiting
% 0.21/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------