TSTP Solution File: ANA002-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA002-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% 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 : Wed Aug 30 17:14:24 EDT 2023

% Result   : Unsatisfiable 20.50s 21.10s
% Output   : Proof 20.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ANA002-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.35  % Computer : n014.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Fri Aug 25 18:17:47 EDT 2023
% 0.18/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4cgoS0nwA1/cvc5---1.0.5_385.p...
% 0.21/0.51  ------- get file name : TPTP file name is ANA002-2
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_385.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.39/10.62  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.43/15.67  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.29/20.72  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.50/21.10  % SZS status Unsatisfiable for ANA002-2
% 20.50/21.10  % SZS output start Proof for ANA002-2
% 20.50/21.10  (
% 20.50/21.10  (let ((_let_1 (tptp.f tptp.l))) (let ((_let_2 (tptp.in_interval _let_1 tptp.n0 _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.less_than_or_equal tptp.n0 (tptp.f tptp.upper_bound)))) (let ((_let_5 (tptp.less_than_or_equal (tptp.f tptp.lower_bound) tptp.n0))) (let ((_let_6 (tptp.less_than_or_equal tptp.lower_bound tptp.upper_bound))) (let ((_let_7 (forall ((X $$unsorted)) (or (not (tptp.less_than_or_equal (tptp.g X) X)) (tptp.less_than_or_equal tptp.l X))))) (let ((_let_8 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal (tptp.f (tptp.g X)) tptp.n0) (tptp.less_than_or_equal tptp.l X))))) (let ((_let_9 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal (tptp.g X) tptp.upper_bound) (tptp.less_than_or_equal tptp.l X))))) (let ((_let_10 (forall ((X $$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_11 (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.in_interval tptp.lower_bound X tptp.upper_bound)))))) (let ((_let_12 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal tptp.n0 (tptp.f X)) (not (tptp.less_than_or_equal (tptp.k X) X)) (not (tptp.in_interval tptp.lower_bound X tptp.upper_bound)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_than_or_equal (tptp.f X) tptp.n0) (not (tptp.less_than_or_equal Y X)) (not (tptp.less_than_or_equal (tptp.f Y) tptp.n0)) (tptp.less_than_or_equal Y (tptp.h X)) (not (tptp.in_interval tptp.lower_bound X tptp.upper_bound)))))) (let ((_let_14 (forall ((X $$unsorted)) (or (tptp.less_than_or_equal (tptp.f X) tptp.n0) (not (tptp.less_than_or_equal X (tptp.h X))) (not (tptp.in_interval tptp.lower_bound X tptp.upper_bound)))))) (let ((_let_15 (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_16 (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_17 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (tptp.less_than_or_equal X Z) (not (tptp.less_than_or_equal X Y)) (not (tptp.less_than_or_equal Y Z)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_than_or_equal X Y) (tptp.less_than_or_equal Y X))))) (let ((_let_19 (forall ((Lower $$unsorted) (X $$unsorted) (Upper $$unsorted)) (or (tptp.in_interval Lower X Upper) (not (tptp.less_than_or_equal Lower X)) (not (tptp.less_than_or_equal X Upper)))))) (let ((_let_20 (tptp.h tptp.l))) (let ((_let_21 (tptp.g _let_20))) (let ((_let_22 (tptp.less_than_or_equal _let_21 tptp.upper_bound))) (let ((_let_23 (tptp.less_than_or_equal (tptp.f _let_21) tptp.n0))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (tptp.less_than_or_equal _let_21 tptp.l))) (let ((_let_27 (or _let_26 _let_25 _let_24))) (let ((_let_28 (tptp.less_than_or_equal tptp.l _let_20))) (let ((_let_29 (or _let_22 _let_28))) (let ((_let_30 (_let_9))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (_let_20 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_33 (tptp.in_interval tptp.lower_bound tptp.l tptp.upper_bound))) (let ((_let_34 (not _let_33))) (let ((_let_35 (not _let_28))) (let ((_let_36 (tptp.less_than_or_equal _let_1 tptp.n0))) (let ((_let_37 (or _let_36 _let_35 _let_34))) (let ((_let_38 (_let_14))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.l QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_41 (tptp.less_than_or_equal tptp.l tptp.upper_bound))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.less_than_or_equal tptp.lower_bound tptp.l))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_33 _let_44 _let_42))) (let ((_let_46 (_let_19))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.less_than_or_equal (tptp.g tptp.upper_bound) tptp.upper_bound))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_41))) (let ((_let_51 (or _let_48 _let_41))) (let ((_let_52 (_let_7))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_41 _let_48 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.upper_bound QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_51 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_41 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.upper_bound QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_52)) _let_53 :args (_let_50 false _let_7)) :args (_let_41 false _let_51 true _let_48 false _let_50)))) (let ((_let_55 (not _let_5))) (let ((_let_56 (not _let_6))) (let ((_let_57 (or _let_43 _let_56 _let_55))) (let ((_let_58 (_let_10))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_33 _let_42 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_55 _let_43 (not _let_57)))) (ASSUME :args (_let_6)) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.lower_bound QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_57 false _let_10)) :args (_let_43 false _let_6 false _let_5 false _let_57)) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.lower_bound tptp.l tptp.upper_bound QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_45 false _let_19)) :args (_let_33 false _let_43 false _let_41 false _let_45)))) (let ((_let_61 (tptp.less_than_or_equal tptp.n0 _let_1))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_36))) (let ((_let_64 (or _let_2 _let_63 _let_62))) (let ((_let_65 (tptp.k tptp.l))) (let ((_let_66 (tptp.less_than_or_equal _let_65 tptp.l))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_61 _let_67 _let_34))) (let ((_let_69 (tptp.less_than_or_equal _let_65 tptp.upper_bound))) (let ((_let_70 (not _let_4))) (let ((_let_71 (or _let_61 _let_42 _let_70 _let_69 _let_34))) (let ((_let_72 (tptp.q tptp.l _let_65))) (let ((_let_73 (tptp.less_than_or_equal _let_65 _let_72))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_66))) (let ((_let_76 (tptp.less_than_or_equal _let_72 tptp.l))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_66))) (let ((_let_79 (tptp.less_than_or_equal _let_72 _let_65))) (let ((_let_80 (or _let_73 _let_79))) (let ((_let_81 (tptp.less_than_or_equal tptp.l _let_72))) (let ((_let_82 (or _let_76 _let_81))) (let ((_let_83 (not _let_69))) (let ((_let_84 (not _let_79))) (let ((_let_85 (tptp.less_than_or_equal _let_72 tptp.upper_bound))) (let ((_let_86 (or _let_85 _let_84 _let_83))) (let ((_let_87 (tptp.f _let_72))) (let ((_let_88 (tptp.less_than_or_equal tptp.n0 _let_87))) (let ((_let_89 (not _let_88))) (let ((_let_90 (not _let_81))) (let ((_let_91 (or _let_61 _let_90 _let_89 _let_73 _let_34))) (let ((_let_92 (tptp.less_than_or_equal _let_87 tptp.n0))) (let ((_let_93 (not _let_92))) (let ((_let_94 (not _let_85))) (let ((_let_95 (or _let_76 _let_94 _let_93))) (let ((_let_96 (or _let_88 _let_92))) (let ((_let_97 (_let_12))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (_let_11))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (_let_16))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (_let_15))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (_let_18))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (_let_17))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_2 _let_63 _let_62 (not _let_64)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_92 _let_88 (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.n0 _let_87 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_106 :args (_let_96 false _let_18)) (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_76 _let_93 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_72 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_58)) _let_59 :args (_let_95 false _let_10)) (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_34 _let_61 _let_73 _let_90 _let_89 (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.l _let_72 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_99)) _let_100 :args (_let_91 false _let_11)) (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_83 _let_84 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_72 tptp.upper_bound _let_65 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) _let_108 :args (_let_86 false _let_17)) (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_76 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_72 tptp.l QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_105)) _let_106 :args (_let_82 false _let_18)) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_73 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_65 _let_72 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_105)) _let_106 :args (_let_80 false _let_18)) (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_66 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.l _let_65 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_103)) _let_104 :args (_let_78 false _let_15)) (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_66 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_65 tptp.l QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_101)) _let_102 :args (_let_75 false _let_16)) (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_34 _let_42 _let_61 _let_69 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.l tptp.upper_bound QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_99)) _let_100 :args (_let_71 false _let_11)) _let_54 (ASSUME :args (_let_4)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_34 _let_61 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_40) :args _let_97)) _let_98 :args (_let_68 false _let_12)) :args ((or _let_34 _let_61) false _let_96 true _let_92 false _let_95 true _let_88 false _let_91 false _let_85 false _let_86 false _let_81 false _let_82 false _let_79 false _let_80 true _let_76 false _let_78 true _let_73 false _let_75 false _let_69 false _let_71 false _let_41 false _let_4 true _let_66 false _let_68)) _let_60 :args (_let_61 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_1 tptp.n0 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_64 false _let_19)) :args (_let_63 true _let_2 false _let_61 false _let_64)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 _let_34 (not _let_37)))) _let_109 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_40) :args _let_38)) _let_39 :args (_let_37 false _let_14)) :args (_let_35 true _let_36 false _let_33 false _let_37)))) (let ((_let_111 (or _let_23 _let_28))) (let ((_let_112 (_let_8))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_28 _let_23 (not _let_111)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_112)) _let_113 :args (_let_111 false _let_8)) :args (_let_23 true _let_28 false _let_111)))) (let ((_let_115 (tptp.less_than_or_equal _let_21 _let_20))) (let ((_let_116 (not _let_26))) (let ((_let_117 (or _let_36 _let_116 _let_24 _let_115 _let_34))) (let ((_let_118 (_let_13))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 (not _let_115))) (let ((_let_121 (or _let_120 _let_28))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_24 _let_25 _let_26 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_36 _let_34 _let_115 _let_24 _let_116 (not _let_117)))) _let_109 _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_28 _let_120 (not _let_121)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_32) :args _let_52)) _let_53 :args (_let_121 false _let_7)) :args (_let_120 true _let_28 false _let_121)) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.l _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_119 :args (_let_117 false _let_13)) :args (_let_116 true _let_36 false _let_33 true _let_115 false _let_23 false _let_117)) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_27 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_22 (not _let_29)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_32) :args _let_30)) _let_31 :args (_let_29 false _let_9)) :args (_let_22 true _let_28 false _let_29)) :args (false true _let_26 false _let_23 false _let_27 false _let_22)) :args (_let_19 (forall ((X $$unsorted)) (tptp.less_than_or_equal X X)) _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 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.50/21.10  )
% 20.50/21.10  % SZS output end Proof for ANA002-2
% 20.50/21.11  % cvc5---1.0.5 exiting
% 20.50/21.11  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------