TSTP Solution File: SWV014-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV014-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 21:48:57 EDT 2023

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : SWV014-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Aug 29 08:43:59 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ou0kQoIPxP/cvc5---1.0.5_8337.p...
% 0.22/0.52  ------- get file name : TPTP file name is SWV014-1
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8337.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.58  % SZS status Unsatisfiable for SWV014-1
% 0.22/0.58  % SZS output start Proof for SWV014-1
% 0.22/0.58  (
% 0.22/0.58  (let ((_let_1 (forall ((A $$unsorted)) (or (not (tptp.b_holds (tptp.key A tptp.a))) (not (tptp.intruder_holds (tptp.key A tptp.b))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.intruder_message (tptp.encrypt A B)) (not (tptp.intruder_holds (tptp.key B C))) (not (tptp.intruder_message A)) (not (tptp.party_of_protocol C)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.intruder_holds (tptp.key A B)) (not (tptp.intruder_message A)) (not (tptp.party_of_protocol B)))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (or (tptp.message (tptp.sent B C A)) (not (tptp.intruder_message A)) (not (tptp.party_of_protocol C)) (not (tptp.party_of_protocol B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.intruder_message (tptp.pair A B)) (not (tptp.intruder_message B)) (not (tptp.intruder_message A)))))) (let ((_let_6 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (or (tptp.intruder_message C) (not (tptp.intruder_message (tptp.triple A B C))))))) (let ((_let_7 (forall ((B $$unsorted) (A $$unsorted) (C $$unsorted)) (or (tptp.intruder_message B) (not (tptp.intruder_message (tptp.triple A B C))))))) (let ((_let_8 (forall ((B $$unsorted) (A $$unsorted)) (or (tptp.intruder_message B) (not (tptp.intruder_message (tptp.pair A B))))))) (let ((_let_9 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (or (tptp.intruder_message C) (not (tptp.message (tptp.sent A B C))))))) (let ((_let_10 (forall ((B $$unsorted) (A $$unsorted) (C $$unsorted)) (or (tptp.b_holds (tptp.key B A)) (not (tptp.b_stored (tptp.pair A C))) (not (tptp.message (tptp.sent A tptp.b (tptp.pair (tptp.encrypt (tptp.triple A B (tptp.generate_expiration_time C)) tptp.bt) (tptp.encrypt (tptp.generate_b_nonce C) B))))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.pair A B))) (or (tptp.b_stored _let_1) (not (tptp.fresh_to_b B)) (not (tptp.message (tptp.sent A tptp.b _let_1)))))))) (let ((_let_12 (forall ((B $$unsorted) (A $$unsorted)) (or (tptp.message (tptp.sent tptp.b tptp.t (tptp.triple tptp.b (tptp.generate_b_nonce B) (tptp.encrypt (tptp.triple A B (tptp.generate_expiration_time B)) tptp.bt)))) (not (tptp.fresh_to_b B)) (not (tptp.message (tptp.sent A tptp.b (tptp.pair A B)))))))) (let ((_let_13 (tptp.fresh_to_b tptp.an_a_nonce))) (let ((_let_14 (tptp.party_of_protocol tptp.b))) (let ((_let_15 (tptp.pair tptp.a tptp.an_a_nonce))) (let ((_let_16 (tptp.message (tptp.sent tptp.a tptp.b _let_15)))) (let ((_let_17 (tptp.party_of_protocol tptp.a))) (let ((_let_18 (not _let_14))) (let ((_let_19 (tptp.intruder_message tptp.an_a_nonce))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.intruder_holds (tptp.key tptp.an_a_nonce tptp.b)))) (let ((_let_22 (or _let_21 _let_20 _let_18))) (let ((_let_23 (_let_3))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (not _let_21))) (let ((_let_27 (tptp.key tptp.an_a_nonce tptp.a))) (let ((_let_28 (tptp.b_holds _let_27))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_26))) (let ((_let_31 (_let_1))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (tptp.generate_b_nonce tptp.an_a_nonce))) (let ((_let_34 (tptp.encrypt _let_33 tptp.an_a_nonce))) (let ((_let_35 (tptp.encrypt (tptp.triple tptp.a tptp.an_a_nonce (tptp.generate_expiration_time tptp.an_a_nonce)) tptp.bt))) (let ((_let_36 (tptp.pair _let_35 _let_34))) (let ((_let_37 (tptp.message (tptp.sent tptp.a tptp.b _let_36)))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.b_stored _let_15))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_28 _let_40 _let_38))) (let ((_let_42 (_let_10))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (not _let_17))) (let ((_let_45 (tptp.intruder_message _let_36))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_37 _let_46 _let_18 _let_44))) (let ((_let_48 (_let_4))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (tptp.intruder_message _let_35))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.intruder_message _let_34))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_45 _let_53 _let_51))) (let ((_let_55 (_let_5))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.intruder_message _let_33))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.intruder_holds _let_27))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_52 _let_60 _let_58 _let_44))) (let ((_let_62 (_let_2))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (or _let_59 _let_20 _let_44))) (let ((_let_65 ((tptp.key A B)))) (let ((_let_66 (tptp.intruder_message _let_15))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_19 _let_67))) (let ((_let_69 (_let_8))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (not _let_16))) (let ((_let_72 (or _let_66 _let_71))) (let ((_let_73 (_let_9))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((tptp.sent A B C)))) (let ((_let_76 (ASSUME :args (_let_16)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_19 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_66 (not _let_72)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_15 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_72 false _let_9)) :args (_let_66 false _let_16 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.an_a_nonce tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair A B)))) :args _let_69)) _let_70 :args (_let_68 false _let_8)) :args (_let_19 false _let_66 false _let_68)))) (let ((_let_78 (ASSUME :args (_let_17)))) (let ((_let_79 (tptp.triple tptp.b _let_33 _let_35))) (let ((_let_80 (tptp.intruder_message _let_79))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_57 _let_81))) (let ((_let_83 (_let_7))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (tptp.message (tptp.sent tptp.b tptp.t _let_79)))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_80 _let_86))) (let ((_let_88 (not _let_13))) (let ((_let_89 (or _let_85 _let_88 _let_71))) (let ((_let_90 (_let_12))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (ASSUME :args (_let_13)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_80 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_71 _let_88 _let_85 (not _let_89)))) _let_76 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.an_a_nonce tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair A B)))) :args _let_90)) _let_91 :args (_let_89 false _let_12)) :args (_let_85 false _let_16 false _let_13 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_79 tptp.b tptp.t QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_87 false _let_9)) :args (_let_80 false _let_85 false _let_87)))) (let ((_let_94 (or _let_50 _let_81))) (let ((_let_95 (_let_6))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (ASSUME :args (_let_14)))) (let ((_let_98 (or _let_39 _let_88 _let_71))) (let ((_let_99 (_let_11))) (let ((_let_100 (ASSUME :args _let_99))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.an_a_nonce tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_18 _let_20 _let_21 _let_25))) _let_97 _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_26 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_28 _let_38 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_71 _let_88 _let_39 (not _let_98)))) _let_76 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.a tptp.an_a_nonce QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair A B)))) :args _let_99)) _let_100 :args (_let_98 false _let_11)) :args (_let_39 false _let_16 false _let_13 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_44 _let_18 _let_37 _let_46 (not _let_47)))) _let_78 _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_51 _let_45 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_81 _let_50 (not _let_94)))) _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_35 tptp.b _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple A B C)))) :args _let_95)) _let_96 :args (_let_94 false _let_6)) :args (_let_50 false _let_80 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_44 _let_58 _let_52 _let_60 (not _let_61)))) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_57 (not _let_82)))) _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_33 tptp.b _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple A B C)))) :args _let_83)) _let_84 :args (_let_82 false _let_7)) :args (_let_57 false _let_80 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_44 _let_20 _let_59 (not _let_64)))) _let_78 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.an_a_nonce tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_23)) _let_24 :args (_let_64 false _let_3)) :args (_let_59 false _let_17 false _let_19 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_33 tptp.an_a_nonce tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.encrypt A B) (tptp.key B C)))) :args _let_62)) _let_63 :args (_let_61 false _let_2)) :args (_let_52 false _let_17 false _let_57 false _let_59 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_35 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair A B)))) :args _let_55)) _let_56 :args (_let_54 false _let_5)) :args (_let_45 false _let_50 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a tptp.b _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sent B C A)))) :args _let_48)) _let_49 :args (_let_47 false _let_4)) :args (_let_37 false _let_17 false _let_14 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.an_a_nonce tptp.a tptp.an_a_nonce QUANTIFIERS_INST_E_MATCHING ((tptp.triple A B (tptp.generate_expiration_time C))))) :args _let_42)) _let_43 :args (_let_41 false _let_10)) :args (_let_28 false _let_39 false _let_37 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.an_a_nonce QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.key A tptp.a)))) :args _let_31)) _let_32 :args (_let_30 false _let_1)) :args (_let_26 false _let_28 false _let_30)) :args (_let_25 false _let_14 false _let_19 true _let_21)) _let_24 :args (false true _let_22 false _let_3)) :args (_let_17 _let_16 (tptp.a_stored (tptp.pair tptp.b tptp.an_a_nonce)) (forall ((A $$unsorted) (E $$unsorted) (F $$unsorted) (C $$unsorted) (B $$unsorted) (D $$unsorted)) (or (tptp.message (tptp.sent tptp.a A (tptp.pair E (tptp.encrypt F C)))) (not (tptp.a_stored (tptp.pair A B))) (not (tptp.message (tptp.sent tptp.t tptp.a (tptp.triple (tptp.encrypt (tptp.quadruple A B C D) tptp.at) E F)))))) _let_14 _let_13 _let_12 _let_11 _let_10 (tptp.t_holds (tptp.key tptp.at tptp.a)) (tptp.t_holds (tptp.key tptp.bt tptp.b)) (tptp.party_of_protocol tptp.t) (forall ((C $$unsorted) (A $$unsorted) (D $$unsorted) (E $$unsorted) (G $$unsorted) (F $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.generate_key D))) (or (tptp.message (tptp.sent tptp.t C (tptp.triple (tptp.encrypt (tptp.quadruple A D _let_1 E) G) (tptp.encrypt (tptp.triple C _let_1 E) F) B))) (not (tptp.a_nonce D)) (not (tptp.message (tptp.sent A tptp.t (tptp.triple A B (tptp.encrypt (tptp.triple C D E) F))))) (not (tptp.t_holds (tptp.key G C))) (not (tptp.t_holds (tptp.key F A)))))) _let_9 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.intruder_message A) (not (tptp.intruder_message (tptp.pair A B))))) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.intruder_message A) (not (tptp.intruder_message (tptp.triple A B C))))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.intruder_message A) (not (tptp.intruder_message (tptp.quadruple A B C D))))) (forall ((B $$unsorted) (A $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.intruder_message B) (not (tptp.intruder_message (tptp.quadruple A B C D))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted) (D $$unsorted)) (or (tptp.intruder_message C) (not (tptp.intruder_message (tptp.quadruple A B C D))))) (forall ((D $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.intruder_message D) (not (tptp.intruder_message (tptp.quadruple A B C D))))) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.intruder_message (tptp.triple A B C)) (not (tptp.intruder_message C)) (not (tptp.intruder_message B)) (not (tptp.intruder_message A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.intruder_message (tptp.quadruple A B C D)) (not (tptp.intruder_message D)) (not (tptp.intruder_message C)) (not (tptp.intruder_message B)) (not (tptp.intruder_message A)))) (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (or (tptp.intruder_message B) (not (tptp.intruder_holds (tptp.key B C))) (not (tptp.intruder_message (tptp.encrypt A B))) (not (tptp.party_of_protocol C)))) _let_4 _let_3 _let_2 (tptp.a_nonce tptp.an_a_nonce) (forall ((A $$unsorted)) (tptp.a_nonce (tptp.generate_expiration_time A))) (forall ((A $$unsorted)) (tptp.a_nonce (tptp.generate_b_nonce A))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.58  )
% 0.22/0.58  % SZS output end Proof for SWV014-1
% 0.22/0.59  % cvc5---1.0.5 exiting
% 0.22/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------