TSTP Solution File: ANA002-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA002-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 : Wed Aug 30 17:14:24 EDT 2023

% Result   : Unsatisfiable 21.03s 21.22s
% Output   : Proof 21.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ANA002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Aug 25 19:06:54 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6ObSYo34kC/cvc5---1.0.5_22739.p...
% 0.21/0.51  ------- get file name : TPTP file name is ANA002-4
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22739.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.33/10.57  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.37/15.61  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.48/20.65  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.03/21.22  % SZS status Unsatisfiable for ANA002-4
% 21.03/21.22  % SZS output start Proof for ANA002-4
% 21.03/21.23  (
% 21.03/21.23  (let ((_let_1 (tptp.f tptp.l))) (let ((_let_2 (tptp.less_than_or_equal tptp.n0 _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.less_than_or_equal _let_1 tptp.n0))) (let ((_let_5 (or (not _let_4) _let_3))) (let ((_let_6 (tptp.less_than_or_equal tptp.n0 (tptp.f tptp.upper_bound)))) (let ((_let_7 (tptp.less_than_or_equal (tptp.f tptp.lower_bound) tptp.n0))) (let ((_let_8 (tptp.less_than_or_equal tptp.lower_bound tptp.upper_bound))) (let ((_let_9 (forall ((X $$unsorted)) (or (not (tptp.less_than_or_equal (tptp.g X) X)) (tptp.less_than_or_equal tptp.l X))))) (let ((_let_10 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal (tptp.f (tptp.g X)) tptp.n0) (tptp.less_than_or_equal tptp.l X))))) (let ((_let_11 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal (tptp.g X) tptp.upper_bound) (tptp.less_than_or_equal tptp.l X))))) (let ((_let_12 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal X tptp.l) (not (tptp.less_than_or_equal X tptp.upper_bound)) (not (tptp.less_than_or_equal (tptp.f X) tptp.n0)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_than_or_equal tptp.n0 (tptp.f X)) (not (tptp.less_than_or_equal X Y)) (not (tptp.less_than_or_equal tptp.n0 (tptp.f Y))) (tptp.less_than_or_equal (tptp.k X) Y) (not (tptp.less_than_or_equal tptp.lower_bound X)) (not (tptp.less_than_or_equal X tptp.upper_bound)))))) (let ((_let_14 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal tptp.n0 (tptp.f X)) (not (tptp.less_than_or_equal (tptp.k X) X)) (not (tptp.less_than_or_equal tptp.lower_bound X)) (not (tptp.less_than_or_equal X tptp.upper_bound)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_than_or_equal (tptp.f X) tptp.n0) (not (tptp.less_than_or_equal Y X)) (not (tptp.less_than_or_equal (tptp.f Y) tptp.n0)) (tptp.less_than_or_equal Y (tptp.h X)) (not (tptp.less_than_or_equal tptp.lower_bound X)) (not (tptp.less_than_or_equal X tptp.upper_bound)))))) (let ((_let_16 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal (tptp.f X) tptp.n0) (not (tptp.less_than_or_equal X (tptp.h X))) (not (tptp.less_than_or_equal tptp.lower_bound X)) (not (tptp.less_than_or_equal X tptp.upper_bound)))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than_or_equal (tptp.q X Y) X)) (tptp.less_than_or_equal Y X))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than_or_equal X (tptp.q Y X))) (tptp.less_than_or_equal X Y))))) (let ((_let_19 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (tptp.less_than_or_equal X Z) (not (tptp.less_than_or_equal X Y)) (not (tptp.less_than_or_equal Y Z)))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_than_or_equal X Y) (tptp.less_than_or_equal Y X))))) (let ((_let_21 (tptp.k tptp.l))) (let ((_let_22 (tptp.q tptp.l _let_21))) (let ((_let_23 (tptp.f _let_22))) (let ((_let_24 (tptp.less_than_or_equal _let_23 tptp.n0))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.less_than_or_equal _let_22 tptp.upper_bound))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.less_than_or_equal _let_22 tptp.l))) (let ((_let_29 (or _let_28 _let_27 _let_25))) (let ((_let_30 (_let_12))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (not _let_29))) (let ((_let_33 (tptp.less_than_or_equal tptp.upper_bound _let_22))) (let ((_let_34 (or _let_33 _let_26))) (let ((_let_35 (_let_20))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_33))) (let ((_let_38 (tptp.less_than_or_equal _let_21 tptp.upper_bound))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.less_than_or_equal _let_21 _let_22))) (let ((_let_41 (or _let_40 _let_39 _let_37))) (let ((_let_42 (_let_19))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (tptp.less_than_or_equal _let_21 tptp.l))) (let ((_let_45 (not _let_40))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (_let_18))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (tptp.less_than_or_equal tptp.l tptp.upper_bound))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.less_than_or_equal tptp.lower_bound tptp.l))) (let ((_let_52 (not _let_51))) (let ((_let_53 (not _let_44))) (let ((_let_54 (or _let_2 _let_53 _let_52 _let_50))) (let ((_let_55 (_let_14))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.l QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_58 (tptp.less_than_or_equal (tptp.g tptp.upper_bound) tptp.upper_bound))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_49))) (let ((_let_61 (or _let_58 _let_49))) (let ((_let_62 (_let_9))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (_let_11))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_49 _let_58 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.upper_bound QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_64)) _let_65 :args (_let_61 false _let_11)) (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_49 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.upper_bound QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_62)) _let_63 :args (_let_60 false _let_9)) :args (_let_49 false _let_61 true _let_58 false _let_60)))) (let ((_let_67 (not _let_7))) (let ((_let_68 (not _let_8))) (let ((_let_69 (or _let_51 _let_68 _let_67))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_67 _let_51 (not _let_69)))) (ASSUME :args (_let_8)) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.lower_bound QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_30)) _let_31 :args (_let_69 false _let_12)) :args (_let_51 false _let_8 false _let_7 false _let_69)))) (let ((_let_71 (tptp.h tptp.l))) (let ((_let_72 (tptp.less_than_or_equal tptp.l _let_71))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_4 _let_73 _let_52 _let_50))) (let ((_let_75 (tptp.g _let_71))) (let ((_let_76 (tptp.less_than_or_equal _let_75 _let_71))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_72))) (let ((_let_79 (tptp.less_than_or_equal (tptp.f _let_75) tptp.n0))) (let ((_let_80 (or _let_79 _let_72))) (let ((_let_81 (tptp.less_than_or_equal _let_75 tptp.upper_bound))) (let ((_let_82 (or _let_81 _let_72))) (let ((_let_83 (not _let_79))) (let ((_let_84 (tptp.less_than_or_equal _let_75 tptp.l))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_4 _let_85 _let_83 _let_76 _let_52 _let_50))) (let ((_let_87 (not _let_81))) (let ((_let_88 (or _let_84 _let_87 _let_83))) (let ((_let_89 (_let_16))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (_let_71 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_92 (_let_10))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (_let_15))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_83 _let_87 _let_84 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_75 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_88 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_4 _let_52 _let_50 _let_76 _let_83 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.l _let_75 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_94)) _let_95 :args (_let_86 false _let_15)) _let_66 _let_70 (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_72 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_91) :args _let_64)) _let_65 :args (_let_82 false _let_11)) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_72 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_71 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92)) _let_93 :args (_let_80 false _let_10)) (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_72 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_91) :args _let_62)) _let_63 :args (_let_78 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_4 _let_52 _let_73 _let_50 (not _let_74)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_57) :args _let_89)) _let_90 :args (_let_74 false _let_16)) _let_66 _let_70 :args (_let_4 false _let_88 true _let_84 false _let_86 false _let_49 false _let_51 false _let_81 false _let_82 false _let_79 false _let_80 true _let_76 false _let_78 true _let_72 false _let_74 false _let_49 false _let_51)) :args (_let_3 false _let_4)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_2 _let_52 _let_50 _let_53 (not _let_54)))) _let_96 _let_70 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_57) :args _let_55)) _let_56 :args (_let_54 false _let_14)) :args (_let_53 true _let_2 false _let_51 false _let_49 false _let_54)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_44 _let_45 (not _let_46)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_21 tptp.l QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_47)) _let_48 :args (_let_46 false _let_18)) :args (_let_45 true _let_44 false _let_46)))) (let ((_let_99 (not _let_6))) (let ((_let_100 (or _let_2 _let_50 _let_99 _let_38 _let_52 _let_50))) (let ((_let_101 (_let_13))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (tptp.less_than_or_equal tptp.n0 _let_23))) (let ((_let_104 (or _let_103 _let_24))) (let ((_let_105 (not _let_103))) (let ((_let_106 (tptp.less_than_or_equal tptp.l _let_22))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_2 _let_107 _let_105 _let_40 _let_52 _let_50))) (let ((_let_109 (or _let_106 _let_28))) (let ((_let_110 (not _let_28))) (let ((_let_111 (or _let_110 _let_44))) (let ((_let_112 (_let_17))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_44 _let_110 (not _let_111)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.l _let_21 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_112)) _let_113 :args (_let_111 false _let_17)) :args (_let_110 true _let_44 false _let_111)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_25 _let_27 _let_32))) _let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_24 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_2 _let_52 _let_50 _let_40 _let_107 _let_105 (not _let_108)))) _let_96 _let_70 _let_66 _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_28 _let_106 (not _let_109)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.l _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) _let_36 :args (_let_109 false _let_20)) :args (_let_106 true _let_28 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.l _let_22 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_101)) _let_102 :args (_let_108 false _let_13)) :args (_let_105 true _let_2 false _let_51 false _let_49 true _let_40 false _let_106 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.n0 _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) _let_36 :args (_let_104 false _let_20)) :args (_let_24 true _let_103 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_26 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_39 _let_40 _let_37 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_100))) :args ((or _let_2 _let_99 _let_52 _let_50 _let_38 (not _let_100)))) _let_96 (ASSUME :args (_let_6)) _let_70 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.l tptp.upper_bound QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_101)) _let_102 :args (_let_100 false _let_13)) :args (_let_38 true _let_2 false _let_6 false _let_51 false _let_49 false _let_100)) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_21 _let_22 tptp.upper_bound QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_42)) _let_43 :args (_let_41 false _let_19)) :args (_let_37 false _let_38 true _let_40 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.upper_bound _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) _let_36 :args (_let_34 false _let_20)) :args (_let_26 true _let_33 false _let_34)) :args (_let_32 true _let_28 false _let_24 false _let_26)) _let_31 :args (false true _let_29 false _let_12)) :args ((forall ((X $$unsorted)) (tptp.less_than_or_equal X X)) _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.03/21.23  )
% 21.03/21.23  % SZS output end Proof for ANA002-4
% 21.03/21.23  % cvc5---1.0.5 exiting
% 21.03/21.23  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------