%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 13:12:55 EDT 2023

% Result   : Theorem 0.21s 0.61s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n002.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   : Sat Aug 26 22:12:03 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.61  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CvsTfIyXgZ/cvc5---1.0.5_23583.p...
% 0.21/0.61  ------- get file name : TPTP file name is PUZ018_1
% 0.21/0.61  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23583.smt2...
% 0.21/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.61  % SZS status Theorem for PUZ018_1
% 0.21/0.61  % SZS output start Proof for PUZ018_1
% 0.21/0.61  (
% 0.21/0.61  (let ((_let_1 (tptp.all_on tptp.friday))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.on tptp.c tptp.sunday))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.on tptp.b tptp.saturday))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.on tptp.b tptp.thursday))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.on tptp.a tptp.thursday))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.on tptp.a tptp.tuesday))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.on tptp.a tptp.sunday))) (let ((_let_14 (not _let_13))) (let ((_let_15 (forall ((X tptp.person) (Y tptp.day) (Z tptp.day) (W tptp.person)) (or (tptp.on X Y) (tptp.on X Z) (tptp.on W Y) (tptp.on W Z) (tptp.same_person X W) (tptp.same_day Y Z))))) (let ((_let_16 (forall ((X tptp.day) (Y tptp.day) (Z tptp.day) (W tptp.day) (U tptp.person)) (not (and (tptp.consecutive X Y) (tptp.consecutive Y Z) (tptp.consecutive Z W) (tptp.on U X) (tptp.on U Y) (tptp.on U Z)))))) (let ((_let_17 (tptp.all_on tptp.saturday))) (let ((_let_18 (tptp.all_on tptp.thursday))) (let ((_let_19 (tptp.all_on tptp.wednesday))) (let ((_let_20 (tptp.all_on tptp.tuesday))) (let ((_let_21 (tptp.all_on tptp.monday))) (let ((_let_22 (tptp.all_on tptp.sunday))) (let ((_let_23 (or _let_22 _let_21 _let_20 _let_19 _let_18 _let_1 _let_17))) (let ((_let_24 (tptp.same_day tptp.tuesday tptp.thursday))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.same_day tptp.sunday tptp.thursday))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.same_day tptp.sunday tptp.tuesday))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.same_person tptp.a tptp.c))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.same_person tptp.a tptp.b))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.consecutive tptp.thursday tptp.friday))) (let ((_let_35 (tptp.consecutive tptp.wednesday tptp.thursday))) (let ((_let_36 (tptp.consecutive tptp.tuesday tptp.wednesday))) (let ((_let_37 (tptp.consecutive tptp.monday tptp.tuesday))) (let ((_let_38 (tptp.consecutive tptp.sunday tptp.monday))) (let ((_let_39 (forall ((X tptp.day)) (=> (tptp.all_on X) (tptp.on tptp.c X))))) (let ((_let_40 (forall ((X tptp.day)) (=> (tptp.all_on X) (tptp.on tptp.b X))))) (let ((_let_41 (forall ((X tptp.day)) (=> (tptp.all_on X) (tptp.on tptp.a X))))) (let ((_let_42 (forall ((X tptp.day)) (or (not (tptp.all_on X)) (tptp.on tptp.a X))))) (let ((_let_43 (not _let_22))) (let ((_let_44 (or _let_43 _let_13))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (not _let_17))) (let ((_let_48 (or _let_47 _let_5))) (let ((_let_49 (forall ((X tptp.day)) (or (not (tptp.all_on X)) (tptp.on tptp.b X))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (not _let_18))) (let ((_let_53 (or _let_52 _let_9))) (let ((_let_54 (_let_42))) (let ((_let_55 ((not (= (tptp.all_on X) false))))) (let ((_let_56 (ASSUME :args (_let_10)))) (let ((_let_57 (tptp.on tptp.c tptp.wednesday))) (let ((_let_58 (not _let_19))) (let ((_let_59 (or _let_58 _let_57))) (let ((_let_60 (forall ((X tptp.day)) (or (not (tptp.all_on X)) (tptp.on tptp.c X))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (tptp.on tptp.c tptp.thursday))) (let ((_let_63 (not _let_62))) (let ((_let_64 (not _let_57))) (let ((_let_65 (tptp.on tptp.c tptp.tuesday))) (let ((_let_66 (not _let_65))) (let ((_let_67 (not _let_34))) (let ((_let_68 (not _let_35))) (let ((_let_69 (not _let_36))) (let ((_let_70 (or _let_69 _let_68 _let_67 _let_66 _let_64 _let_63))) (let ((_let_71 (forall ((X tptp.day) (Y tptp.day) (Z tptp.day) (W tptp.day) (U tptp.person)) (or (not (tptp.consecutive X Y)) (not (tptp.consecutive Y Z)) (not (tptp.consecutive Z W)) (not (tptp.on U X)) (not (tptp.on U Y)) (not (tptp.on U Z)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 (not (= (tptp.on U X) false)))) (let ((_let_75 (not (= (tptp.consecutive Z W) false)))) (let ((_let_76 (or _let_13 _let_9 _let_3 _let_62 _let_30 _let_26))) (let ((_let_77 (_let_15))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((not (= (tptp.on X Z) true)) (not (= (tptp.on W Y) true))))) (let ((_let_80 (ASSUME :args (_let_4)))) (let ((_let_81 (ASSUME :args (_let_14)))) (let ((_let_82 (ASSUME :args (_let_27)))) (let ((_let_83 (ASSUME :args (_let_31)))) (let ((_let_84 (or _let_13 _let_11 _let_3 _let_65 _let_30 _let_28))) (let ((_let_85 (ASSUME :args (_let_12)))) (let ((_let_86 (ASSUME :args (_let_36)))) (let ((_let_87 (not _let_20))) (let ((_let_88 (or _let_87 _let_11))) (let ((_let_89 (tptp.on tptp.b tptp.monday))) (let ((_let_90 (not _let_21))) (let ((_let_91 (or _let_90 _let_89))) (let ((_let_92 (tptp.on tptp.b tptp.tuesday))) (let ((_let_93 (not _let_92))) (let ((_let_94 (not _let_89))) (let ((_let_95 (tptp.on tptp.b tptp.sunday))) (let ((_let_96 (not _let_95))) (let ((_let_97 (not _let_37))) (let ((_let_98 (not _let_38))) (let ((_let_99 (or _let_98 _let_97 _let_69 _let_96 _let_94 _let_93))) (let ((_let_100 (or _let_13 _let_9 _let_95 _let_7 _let_32 _let_26))) (let ((_let_101 ((not (= (tptp.same_person X W) true)) (not (= (tptp.same_day Y Z) true))))) (let ((_let_102 (ASSUME :args (_let_8)))) (let ((_let_103 (ASSUME :args (_let_33)))) (let ((_let_104 (or _let_11 _let_9 _let_92 _let_7 _let_32 _let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.sunday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_13 _let_43 _let_46))) _let_81 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_89 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_97 _let_69 _let_94 _let_93 _let_96 (not _let_99)))) (ASSUME :args (_let_38)) (ASSUME :args (_let_37)) _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_32 _let_24 _let_11 _let_9 _let_7 _let_92 (not _let_104)))) _let_103 (ASSUME :args (_let_25)) _let_85 _let_56 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.a tptp.tuesday tptp.thursday tptp.b QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_77)) _let_78 :args (_let_104 false _let_15)) :args (_let_92 true _let_32 true _let_24 true _let_11 true _let_9 true _let_7 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_32 _let_26 _let_13 _let_9 _let_7 _let_95 (not _let_100)))) _let_103 _let_82 _let_81 _let_56 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.a tptp.sunday tptp.thursday tptp.b QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_77)) _let_78 :args (_let_100 false _let_15)) :args (_let_95 true _let_32 true _let_26 true _let_13 true _let_9 true _let_7 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.sunday tptp.monday tptp.tuesday tptp.wednesday tptp.b QUANTIFIERS_INST_E_MATCHING (_let_74 (not (= (tptp.consecutive X Y) false)) _let_75))) :args _let_73)) _let_72 :args (_let_99 false _let_71)) :args (_let_94 false _let_38 false _let_37 false _let_36 false _let_92 false _let_95 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.monday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.all_on X) false))))) :args _let_51)) _let_50 :args (_let_91 false _let_49)) :args (_let_90 true _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_11 _let_87 (not _let_88)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.tuesday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_45 :args (_let_88 false _let_42)) :args (_let_87 true _let_11 false _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_57 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_68 _let_67 _let_64 _let_66 _let_63 (not _let_70)))) _let_86 (ASSUME :args (_let_35)) (ASSUME :args (_let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_30 _let_28 _let_13 _let_11 _let_3 _let_65 (not _let_84)))) _let_83 (ASSUME :args (_let_29)) _let_81 _let_85 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.a tptp.sunday tptp.tuesday tptp.c QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_84 false _let_15)) :args (_let_65 true _let_30 true _let_28 true _let_13 true _let_11 true _let_3 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_30 _let_26 _let_13 _let_9 _let_3 _let_62 (not _let_76)))) _let_83 _let_82 _let_81 _let_56 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.a tptp.sunday tptp.thursday tptp.c QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_76 false _let_15)) :args (_let_62 true _let_30 true _let_26 true _let_13 true _let_9 true _let_3 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.tuesday tptp.wednesday tptp.thursday tptp.friday tptp.c QUANTIFIERS_INST_E_MATCHING (_let_75 (not (= (tptp.on U Y) false)) _let_74))) :args _let_73)) _let_72 :args (_let_70 false _let_71)) :args (_let_64 false _let_36 false _let_35 false _let_34 false _let_65 false _let_62 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.wednesday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.all_on X) false))))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_58 true _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_9 _let_52 (not _let_53)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.thursday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_45 :args (_let_53 false _let_42)) :args (_let_52 true _let_9 false _let_53)) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_5 _let_47 (not _let_48)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.saturday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.on tptp.b X) true))))) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_47 true _let_5 false _let_48)) :args (_let_22 true _let_21 true _let_20 true _let_19 true _let_18 true _let_1 true _let_17)) :args (_let_46 true _let_13 false _let_22)) _let_45 :args (false true _let_44 false _let_42)) :args (_let_41 _let_40 _let_39 (forall ((X tptp.day)) (=> (and (tptp.on tptp.a X) (tptp.on tptp.b X) (tptp.on tptp.c X)) (tptp.all_on X))) (forall ((X tptp.day) (Y tptp.day)) (=> (and (tptp.all_on X) (tptp.all_on Y)) (tptp.same_day X Y))) _let_38 _let_37 _let_36 _let_35 _let_34 (tptp.consecutive tptp.friday tptp.saturday) (tptp.consecutive tptp.saturday tptp.sunday) (forall ((X tptp.person)) (tptp.same_person X X)) _let_33 _let_31 (not (tptp.same_person tptp.b tptp.c)) (forall ((X tptp.day)) (tptp.same_day X X)) (not (tptp.same_day tptp.sunday tptp.monday)) _let_29 (not (tptp.same_day tptp.sunday tptp.wednesday)) _let_27 (not (tptp.same_day tptp.sunday tptp.friday)) (not (tptp.same_day tptp.sunday tptp.saturday)) (not (tptp.same_day tptp.monday tptp.tuesday)) (not (tptp.same_day tptp.monday tptp.wednesday)) (not (tptp.same_day tptp.monday tptp.thursday)) (not (tptp.same_day tptp.monday tptp.friday)) (not (tptp.same_day tptp.monday tptp.saturday)) (not (tptp.same_day tptp.tuesday tptp.wednesday)) _let_25 (not (tptp.same_day tptp.tuesday tptp.friday)) (not (tptp.same_day tptp.tuesday tptp.saturday)) (not (tptp.same_day tptp.wednesday tptp.thursday)) (not (tptp.same_day tptp.wednesday tptp.friday)) (not (tptp.same_day tptp.wednesday tptp.saturday)) (not (tptp.same_day tptp.thursday tptp.friday)) (not (tptp.same_day tptp.thursday tptp.saturday)) (not (tptp.same_day tptp.friday tptp.saturday)) _let_23 _let_16 _let_15 _let_14 _let_12 _let_10 _let_8 _let_6 _let_4 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.61  )
% 0.21/0.61  % SZS output end Proof for PUZ018_1
% 0.21/0.61  % cvc5---1.0.5 exiting
% 0.21/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------