TSTP Solution File: LDA002-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 09:03:10 EDT 2023

% Result   : Unsatisfiable 0.56s 0.82s
% Output   : Proof 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 01:45:27 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.MCesFNGTkm/cvc5---1.0.5_25011.p...
% 0.20/0.49  ------- get file name : TPTP file name is LDA002-1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25011.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.56/0.82  % SZS status Unsatisfiable for LDA002-1
% 0.56/0.82  % SZS output start Proof for LDA002-1
% 0.56/0.83  (
% 0.56/0.83  (let ((_let_1 (= (tptp.f tptp.a tptp.v) (tptp.f tptp.b tptp.v)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (= tptp.v (tptp.f tptp.uu tptp.uu)))) (let ((_let_4 (= tptp.b (tptp.f tptp.u1 tptp.u3)))) (let ((_let_5 (tptp.f tptp.n3 tptp.n2))) (let ((_let_6 (tptp.f _let_5 tptp.u2))) (let ((_let_7 (= tptp.a _let_6))) (let ((_let_8 (tptp.f tptp.u tptp.u))) (let ((_let_9 (= tptp.uu _let_8))) (let ((_let_10 (tptp.f tptp.u tptp.n3))) (let ((_let_11 (= tptp.u3 _let_10))) (let ((_let_12 (tptp.f tptp.u tptp.n2))) (let ((_let_13 (= tptp.u2 _let_12))) (let ((_let_14 (tptp.f tptp.u tptp.n1))) (let ((_let_15 (= tptp.u1 _let_14))) (let ((_let_16 (tptp.f tptp.n2 tptp.n2))) (let ((_let_17 (= tptp.u _let_16))) (let ((_let_18 (tptp.f tptp.n2 tptp.n1))) (let ((_let_19 (= tptp.n3 _let_18))) (let ((_let_20 (tptp.f tptp.n1 tptp.n1))) (let ((_let_21 (= tptp.n2 _let_20))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))) (let ((_let_23 (tptp.f tptp.n1 _let_20))) (let ((_let_24 (= _let_23 (tptp.f _let_20 _let_20)))) (let ((_let_25 (tptp.f tptp.n1 tptp.n3))) (let ((_let_26 (tptp.f tptp.u _let_25))) (let ((_let_27 (= _let_26 (tptp.f _let_14 _let_10)))) (let ((_let_28 (tptp.f tptp.u _let_8))) (let ((_let_29 (= _let_28 (tptp.f _let_8 _let_8)))) (let ((_let_30 (tptp.f _let_18 _let_18))) (let ((_let_31 (= (tptp.f tptp.n2 _let_20) _let_30))) (let ((_let_32 (tptp.f _let_12 _let_12))) (let ((_let_33 (= (tptp.f tptp.u _let_16) _let_32))) (let ((_let_34 (tptp.f tptp.n3 tptp.n1))) (let ((_let_35 (tptp.f _let_34 _let_34))) (let ((_let_36 (= (tptp.f tptp.n3 _let_20) _let_35))) (let ((_let_37 (= (tptp.f tptp.n1 (tptp.f _let_20 tptp.n1)) (tptp.f _let_23 _let_20)))) (let ((_let_38 (= (tptp.f _let_18 _let_30) (tptp.f _let_30 _let_30)))) (let ((_let_39 (= (tptp.f _let_12 _let_32) (tptp.f _let_32 _let_32)))) (let ((_let_40 (= (tptp.f tptp.u (tptp.f _let_25 _let_8)) (tptp.f _let_26 _let_28)))) (let ((_let_41 (tptp.f _let_18 tptp.n1))) (let ((_let_42 (tptp.f _let_18 tptp.n2))) (let ((_let_43 (tptp.f _let_42 _let_41))) (let ((_let_44 (= _let_30 _let_43))) (let ((_let_45 (tptp.f _let_41 _let_41))) (let ((_let_46 (tptp.f _let_42 _let_45))) (let ((_let_47 (= _let_46 (tptp.f _let_43 _let_43)))) (let ((_let_48 (tptp.f _let_41 _let_45))) (let ((_let_49 (tptp.f _let_42 _let_48))) (let ((_let_50 (= _let_49 (tptp.f _let_43 _let_46)))) (let ((_let_51 (= (tptp.f _let_5 (tptp.f tptp.u2 _let_48)) (tptp.f _let_6 (tptp.f _let_5 _let_48))))) (let ((_let_52 (= (tptp.f _let_42 (tptp.f _let_41 _let_48)) (tptp.f _let_43 _let_49)))) (let ((_let_53 (= (tptp.f tptp.n3 (tptp.f tptp.n1 tptp.n2)) (tptp.f _let_34 _let_5)))) (let ((_let_54 (tptp.f _let_34 _let_45))) (let ((_let_55 (= (tptp.f _let_34 _let_54) (tptp.f _let_35 _let_54)))) (let ((_let_56 (ASSUME :args (_let_21)))) (let ((_let_57 (ASSUME :args (_let_19)))) (let ((_let_58 (ASSUME :args (_let_17)))) (let ((_let_59 (ASSUME :args (_let_15)))) (let ((_let_60 (ASSUME :args (_let_13)))) (let ((_let_61 (ASSUME :args (_let_11)))) (let ((_let_62 (ASSUME :args (_let_9)))) (let ((_let_63 (ASSUME :args (_let_7)))) (let ((_let_64 (ASSUME :args (_let_4)))) (let ((_let_65 (ASSUME :args (_let_3)))) (let ((_let_66 (_let_22))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 ((tptp.f (tptp.f X Y) (tptp.f X Z))))) (let ((_let_69 ((tptp.f X (tptp.f Y Z))))) (let ((_let_70 (and _let_21 _let_19 _let_17 _let_15 _let_13 _let_11 _let_9 _let_7 _let_4 _let_3 _let_24 _let_27 _let_29 _let_31 _let_33 _let_36 _let_37 _let_38 _let_39 _let_40 _let_44 _let_47 _let_50 _let_51 _let_52 _let_53 _let_55))) (let ((_let_71 (APPLY_UF tptp.f))) (let ((_let_72 (SYMM _let_62))) (let ((_let_73 (CONG _let_72 _let_72 :args _let_71))) (let ((_let_74 (ASSUME :args (_let_29)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (ASSUME :args (_let_27)))) (let ((_let_78 (ASSUME :args (_let_40)))) (let ((_let_79 (SYMM _let_58))) (let ((_let_80 (CONG (REFL :args (tptp.u)) _let_79 :args _let_71))) (let ((_let_81 (ASSUME :args (_let_33)))) (let ((_let_82 (TRANS (SYMM _let_81) _let_80))) (let ((_let_83 (SYMM _let_57))) (let ((_let_84 (REFL :args (tptp.n1)))) (let ((_let_85 (SYMM _let_56))) (let ((_let_86 (ASSUME :args (_let_37)))) (let ((_let_87 (ASSUME :args (_let_24)))) (let ((_let_88 (CONG _let_56 _let_56 :args _let_71))) (let ((_let_89 (ASSUME :args (_let_39)))) (let ((_let_90 (SYMM _let_82))) (let ((_let_91 (CONG _let_90 _let_90 :args _let_71))) (let ((_let_92 (REFL :args (tptp.n2)))) (let ((_let_93 (CONG _let_92 _let_85 :args _let_71))) (let ((_let_94 (ASSUME :args (_let_31)))) (let ((_let_95 (SYMM _let_94))) (let ((_let_96 (ASSUME :args (_let_44)))) (let ((_let_97 (TRANS (SYMM _let_96) _let_95 _let_93 _let_79))) (let ((_let_98 (ASSUME :args (_let_47)))) (let ((_let_99 (CONG _let_97 (TRANS (SYMM (SYMM _let_98)) (CONG _let_97 _let_97 :args _let_71)) :args _let_71))) (let ((_let_100 (ASSUME :args (_let_50)))) (let ((_let_101 (SYMM _let_100))) (let ((_let_102 (ASSUME :args (_let_52)))) (let ((_let_103 (CONG _let_57 _let_84 :args _let_71))) (let ((_let_104 (CONG _let_103 (REFL :args (_let_45)) :args _let_71))) (let ((_let_105 (ASSUME :args (_let_55)))) (let ((_let_106 (ASSUME :args (_let_36)))) (let ((_let_107 (SYMM _let_106))) (let ((_let_108 (CONG (REFL :args (tptp.n3)) _let_56 :args _let_71))) (let ((_let_109 (CONG _let_83 _let_92 :args _let_71))) (let ((_let_110 (CONG _let_109 (REFL :args (_let_48)) :args _let_71))) (let ((_let_111 (SYMM _let_99))) (let ((_let_112 (TRANS _let_95 _let_93 _let_79))) (let ((_let_113 (ASSUME :args (_let_38)))) (let ((_let_114 (ASSUME :args (_let_53)))) (let ((_let_115 (SYMM _let_103))) (let ((_let_116 (ASSUME :args (_let_51)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_59 _let_61 _let_77 _let_65 _let_62 _let_74 _let_78 _let_58 _let_56 _let_94 _let_96 _let_57 _let_86 _let_87 _let_81 _let_89 _let_98 _let_100 _let_102 _let_105 _let_106 _let_60 _let_113 _let_114 _let_116 _let_63) (SCOPE (TRANS (CONG (SYMM (SYMM _let_63)) (TRANS _let_65 (SYMM _let_73) _let_75 _let_111 _let_101 _let_110) :args _let_71) (SYMM _let_116) (CONG (SYMM _let_109) (TRANS (CONG (SYMM (SYMM _let_60)) (TRANS (CONG _let_115 (TRANS (CONG _let_115 _let_115 :args _let_71) _let_107 (SYMM _let_108)) :args _let_71) (SYMM _let_114) (CONG _let_57 (TRANS (CONG _let_84 _let_56 :args _let_71) _let_87 (SYMM _let_88) (SYMM _let_93) _let_94) :args _let_71) (SYMM (SYMM _let_113)) (CONG _let_112 _let_112 :args _let_71) (SYMM _let_80) _let_81) :args _let_71) _let_89 (SYMM _let_91) _let_75 _let_111 _let_101 _let_110 (CONG (TRANS _let_108 (SYMM _let_107)) (SYMM _let_104) :args _let_71) (SYMM _let_105) (CONG _let_103 _let_104 :args _let_71)) :args _let_71) (SYMM (SYMM _let_102)) (CONG _let_97 (TRANS (SYMM _let_101) _let_99 _let_76 _let_91 (SYMM _let_89) (CONG (TRANS (CONG (TRANS _let_58 _let_88 (SYMM _let_87)) _let_56 :args _let_71) (SYMM _let_86) (CONG _let_84 (TRANS (CONG _let_85 _let_84 :args _let_71) _let_83) :args _let_71)) _let_82 :args _let_71)) :args _let_71) (SYMM (SYMM _let_78)) (CONG (TRANS (SYMM (SYMM _let_77)) (CONG (SYMM _let_59) (SYMM _let_61) :args _let_71) (SYMM _let_64)) (TRANS _let_76 _let_73 (SYMM _let_65)) :args _let_71)) :args (_let_4 _let_15 _let_11 _let_27 _let_3 _let_9 _let_29 _let_40 _let_17 _let_21 _let_31 _let_44 _let_19 _let_37 _let_24 _let_33 _let_39 _let_47 _let_50 _let_52 _let_55 _let_36 _let_13 _let_38 _let_53 _let_51 _let_7))) :args (_let_21 _let_19 _let_17 _let_15 _let_13 _let_11 _let_9 _let_7 _let_4 _let_3 _let_24 _let_27 _let_29 _let_31 _let_33 _let_36 _let_37 _let_38 _let_39 _let_40 _let_44 _let_47 _let_50 _let_51 _let_52 _let_53 _let_55))) :args (true _let_70)) :args ((or _let_1 (not _let_21) (not _let_19) (not _let_17) (not _let_15) (not _let_13) (not _let_11) (not _let_9) (not _let_7) (not _let_4) (not _let_3) (not _let_24) (not _let_27) (not _let_29) (not _let_31) (not _let_33) (not _let_36) (not _let_37) (not _let_38) (not _let_39) (not _let_40) (not _let_44) (not _let_47) (not _let_50) (not _let_51) (not _let_52) (not _let_53) (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_34 _let_34 _let_45 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_55 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.n3 tptp.n1 tptp.n2 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_53 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_42 _let_41 _let_48 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_52 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_5 tptp.u2 _let_48 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_51 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_42 _let_41 _let_45 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_50 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_42 _let_41 _let_41 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_47 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_18 tptp.n2 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_66)) _let_67 :args (_let_44 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.u _let_25 _let_8 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_40 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_12 _let_12 _let_12 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_39 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_18 _let_18 _let_18 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_38 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.n1 _let_20 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_37 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.n3 tptp.n1 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_66)) _let_67 :args (_let_36 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.u tptp.n2 tptp.n2 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_66)) _let_67 :args (_let_33 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.n2 tptp.n1 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_66)) _let_67 :args (_let_31 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.u tptp.u tptp.u QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_29 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.u tptp.n1 tptp.n3 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_27 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.n1 tptp.n1 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_24 false _let_22)) (ASSUME :args (_let_2)) _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 :args (false false _let_55 false _let_53 false _let_52 false _let_51 false _let_50 false _let_47 false _let_44 false _let_40 false _let_39 false _let_38 false _let_37 false _let_36 false _let_33 false _let_31 false _let_29 false _let_27 false _let_24 true _let_1 false _let_3 false _let_4 false _let_7 false _let_9 false _let_11 false _let_13 false _let_15 false _let_17 false _let_19 false _let_21)) :args (_let_22 _let_21 _let_19 _let_17 _let_15 _let_13 _let_11 _let_9 _let_7 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.56/0.83  )
% 0.56/0.83  % SZS output end Proof for LDA002-1
% 0.56/0.83  % cvc5---1.0.5 exiting
% 0.56/0.83  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------