TSTP Solution File: LAT014-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT014-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 06:02:37 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT014-1 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n023.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 07:21:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wly4qd3k2i/cvc5---1.0.5_32700.p...
% 0.21/0.50 ------- get file name : TPTP file name is LAT014-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32700.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for LAT014-1
% 0.21/0.53 % SZS output start Proof for LAT014-1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (tptp.join tptp.a tptp.b))) (let ((_let_2 (tptp.meet tptp.a _let_1))) (let ((_let_3 (not (= _let_2 tptp.a)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet (tptp.join X Y) (tptp.join Y Z)) Y) Y)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join (tptp.meet X Y) (tptp.meet Y Z)) Y) Y)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.join X Z))) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.meet Y (tptp.meet X Z))) X)))) (let ((_let_8 (= tptp.a _let_2))) (let ((_let_9 (tptp.meet tptp.a tptp.a))) (let ((_let_10 (tptp.meet tptp.a _let_9))) (let ((_let_11 (tptp.join tptp.a _let_10))) (let ((_let_12 (= tptp.a _let_11))) (let ((_let_13 (tptp.join tptp.a tptp.a))) (let ((_let_14 (tptp.join tptp.a _let_13))) (let ((_let_15 (= tptp.a (tptp.meet tptp.a _let_14)))) (let ((_let_16 (tptp.join _let_9 _let_9))) (let ((_let_17 (tptp.join _let_16 tptp.a))) (let ((_let_18 (= tptp.a _let_17))) (let ((_let_19 (tptp.meet _let_13 _let_13))) (let ((_let_20 (tptp.meet _let_19 tptp.a))) (let ((_let_21 (= tptp.a _let_20))) (let ((_let_22 (= tptp.a (tptp.join (tptp.join _let_20 _let_10) tptp.a)))) (let ((_let_23 (tptp.meet _let_17 _let_1))) (let ((_let_24 (tptp.meet _let_23 tptp.a))) (let ((_let_25 (= tptp.a _let_24))) (let ((_let_26 (= _let_23 (tptp.join _let_23 (tptp.meet tptp.a _let_24))))) (let ((_let_27 (tptp.join _let_23 _let_11))) (let ((_let_28 (tptp.meet tptp.a _let_27))) (let ((_let_29 (= tptp.a _let_28))) (let ((_let_30 (tptp.join _let_9 _let_2))) (let ((_let_31 (tptp.join _let_30 tptp.a))) (let ((_let_32 (= tptp.a _let_31))) (let ((_let_33 (= _let_30 (tptp.meet _let_30 (tptp.join tptp.a _let_31))))) (let ((_let_34 (= _let_27 (tptp.join (tptp.join _let_28 (tptp.meet _let_27 tptp.a)) _let_27)))) (let ((_let_35 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= X (tptp.join X (tptp.meet Y (tptp.meet X Z))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= X (tptp.meet X (tptp.join Y (tptp.join X Z))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.join (tptp.join (tptp.meet X Y) (tptp.meet Y Z)) Y))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.meet (tptp.meet (tptp.join X Y) (tptp.join Y Z)) Y))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (tptp.meet Y Z))) (let ((_let_49 (tptp.meet X Y))) (let ((_let_50 ((tptp.join _let_49 _let_48)))) (let ((_let_51 ((tptp.join Y (tptp.join X Z))))) (let ((_let_52 (and _let_12 _let_15 _let_18 _let_21 _let_22 _let_25 _let_26 _let_29 _let_32 _let_33 _let_34))) (let ((_let_53 (APPLY_UF tptp.meet))) (let ((_let_54 (ASSUME :args (_let_18)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (CONG _let_55 (REFL :args (_let_1)) :args _let_53))) (let ((_let_57 (ASSUME :args (_let_26)))) (let ((_let_58 (APPLY_UF tptp.join))) (let ((_let_59 (ASSUME :args (_let_25)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (REFL :args (tptp.a)))) (let ((_let_63 (ASSUME :args (_let_22)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (ASSUME :args (_let_21)))) (let ((_let_66 (ASSUME :args (_let_12)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (CONG (TRANS (SYMM _let_67) (CONG (SYMM (SYMM _let_65)) (REFL :args (_let_10)) :args _let_58)) _let_62 :args _let_58))) (let ((_let_69 (CONG _let_55 (TRANS (CONG _let_62 (TRANS _let_68 _let_64) :args _let_58) _let_68 _let_64) :args _let_53))) (let ((_let_70 (CONG _let_54 (REFL :args (_let_14)) :args _let_53))) (let ((_let_71 (ASSUME :args (_let_15)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (REFL :args (_let_23)))) (let ((_let_74 (CONG _let_73 _let_60 :args _let_53))) (let ((_let_75 (CONG _let_73 (TRANS _let_74 _let_60 (SYMM _let_72) _let_70 _let_69 (CONG _let_62 _let_61 :args _let_53)) :args _let_58))) (let ((_let_76 (SYMM _let_74))) (let ((_let_77 (CONG _let_73 (TRANS _let_67 _let_61 _let_76) :args _let_58))) (let ((_let_78 (ASSUME :args (_let_34)))) (let ((_let_79 (SYMM _let_77))) (let ((_let_80 (SYMM _let_75))) (let ((_let_81 (ASSUME :args (_let_29)))) (let ((_let_82 (SYMM _let_68))) (let ((_let_83 (CONG (TRANS (TRANS (SYMM _let_69) (SYMM _let_70) _let_72) (TRANS _let_63 _let_82 (CONG (SYMM (SYMM _let_81)) (TRANS _let_61 _let_76 (CONG (TRANS _let_57 _let_80 _let_79) _let_60 :args _let_53)) :args _let_58))) (TRANS (SYMM _let_56) _let_57 _let_80 _let_79) :args _let_58))) (let ((_let_84 (ASSUME :args (_let_33)))) (let ((_let_85 (ASSUME :args (_let_32)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (REFL :args (_let_30)))) (let ((_let_89 (CONG _let_88 _let_86 :args _let_58))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_57 _let_59 _let_63 _let_65 _let_66 _let_71 _let_78 _let_81 _let_84 _let_85) (SCOPE (TRANS _let_61 _let_76 (CONG (TRANS _let_57 _let_80 _let_79 _let_78 (SYMM _let_83)) (TRANS _let_60 _let_87 (SYMM _let_89)) :args _let_53) (CONG _let_88 (TRANS _let_89 _let_86 _let_63 _let_82 (CONG _let_62 _let_87 :args _let_58)) :args _let_53) (SYMM _let_84) _let_83 (SYMM _let_78) _let_77 _let_75 (SYMM _let_57) _let_56) :args (_let_18 _let_26 _let_25 _let_22 _let_21 _let_12 _let_15 _let_34 _let_29 _let_33 _let_32))) :args (_let_12 _let_15 _let_18 _let_21 _let_22 _let_25 _let_26 _let_29 _let_32 _let_33 _let_34))) :args (true _let_52)) :args ((or _let_8 (not _let_12) (not _let_15) (not _let_18) (not _let_21) (not _let_22) (not _let_25) (not _let_26) (not _let_29) (not _let_32) (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a _let_27 tptp.a QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_44)) _let_43 :args (_let_34 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_30 tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_41)) _let_40 :args (_let_33 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING (_let_49 _let_48))) :args _let_44)) _let_43 :args (_let_32 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a _let_23 _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_41)) _let_40 :args (_let_29 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_23 tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.meet Y (tptp.meet X Z))))) :args _let_37)) _let_36 :args (_let_26 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_16 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.meet (tptp.join X Y) (tptp.join Y Z))))) :args _let_47)) _let_46 :args (_let_25 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_19 tptp.a _let_9 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_44)) _let_43 :args (_let_22 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_38) :args _let_47)) _let_46 :args (_let_21 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_38) :args _let_44)) _let_43 :args (_let_18 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_38) :args _let_41)) _let_40 :args (_let_15 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args _let_38) :args _let_37)) _let_36 :args (_let_12 false _let_35)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_34 false _let_33 false _let_32 false _let_29 false _let_26 false _let_25 false _let_22 false _let_21 false _let_18 false _let_15 false _let_12 true _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for LAT014-1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------