%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Thu Aug 31 21:50:45 EDT 2023

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 07:16:11 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8cO3vP7jzR/cvc5---1.0.5_23731.p...
% 0.20/0.49  ------- get file name : TPTP file name is SWV352-2
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23731.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56  % SZS status Unsatisfiable for SWV352-2
% 0.20/0.56  % SZS output start Proof for SWV352-2
% 0.20/0.56  (
% 0.20/0.56  (let ((_let_1 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (let ((_let_1 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) (let ((_let_2 (tptp.c_Message_Omsg_ONonce V_NB))) (let ((_let_3 (tptp.c_Message_Oparts _let_1))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na _let_2))) _let_3 tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair _let_2 V_nb_H))) _let_3 tptp.tc_Message_Omsg)) (tptp.c_in _let_2 (tptp.c_Message_Oanalz _let_1) tptp.tc_Message_Omsg)))))))) (let ((_let_2 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_k $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OMPair V_na V_nb))) (let ((_let_3 (tptp.c_Message_Omsg_OAgent V_B))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair _let_3 (tptp.c_Message_Omsg_OMPair V_k _let_2))) V_X)) _let_1 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair _let_3 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) _let_2)))) _let_1 tptp.tc_Event_Oevent)))))))) (let ((_let_3 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (let ((_let_4 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))) (let ((_let_5 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_6 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_Y _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_7 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))) (let ((_let_8 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evso))) (let ((_let_9 (tptp.c_Message_Oanalz _let_8))) (let ((_let_10 (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (let ((_let_11 (tptp.c_in _let_10 _let_9 tptp.tc_Message_Omsg))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.c_List_Oset tptp.v_evso tptp.tc_Event_Oevent))) (let ((_let_14 (tptp.c_Message_Omsg_ONonce tptp.v_NA))) (let ((_let_15 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair _let_14 _let_10))))) (let ((_let_16 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_17 (tptp.c_Message_Omsg_OMPair _let_16 _let_15))) (let ((_let_18 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer _let_17) _let_13 tptp.tc_Event_Oevent))) (let ((_let_19 (tptp.c_Message_Omsg_ONonce tptp.v_NBa))) (let ((_let_20 (tptp.c_Message_Omsg_OMPair _let_10 _let_19))) (let ((_let_21 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_22 (tptp.c_Message_Omsg_OAgent tptp.v_Ba))) (let ((_let_23 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair _let_22 (tptp.c_Message_Omsg_OMPair _let_21 _let_20))) tptp.v_X)) _let_13 tptp.tc_Event_Oevent))) (let ((_let_24 (tptp.c_in tptp.v_evso tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (let ((_let_25 (tptp.c_Message_Oparts _let_8))) (let ((_let_26 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) _let_20)))) (let ((_let_27 (tptp.c_in _let_26 _let_25 tptp.tc_Message_Omsg))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c_in _let_15 _let_25 tptp.tc_Message_Omsg))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_24))) (let ((_let_32 (or _let_31 _let_30 _let_28 _let_11))) (let ((_let_33 (_let_1))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_32))) (let ((_let_36 (tptp.c_Message_Omsg_OMPair _let_22 _let_26))) (let ((_let_37 (tptp.c_in _let_36 _let_25 tptp.tc_Message_Omsg))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_27))) (let ((_let_40 (_let_6))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.c_Message_Oparts V_H) (tptp.c_Message_Omsg_OMPair V_X V_Y)))) (let ((_let_43 (tptp.c_Message_Oparts _let_9))) (let ((_let_44 (tptp.c_in _let_36 _let_43 tptp.tc_Message_Omsg))) (let ((_let_45 (= _let_43 _let_25))) (let ((_let_46 (tptp.c_in _let_36 _let_9 tptp.tc_Message_Omsg))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_44))) (let ((_let_49 (_let_5))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((not (= (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) (let ((_let_52 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer _let_36) _let_13 tptp.tc_Event_Oevent))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_31 _let_53 _let_46))) (let ((_let_55 (_let_3))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not _let_23))) (let ((_let_58 (or _let_31 _let_57 _let_52))) (let ((_let_59 (_let_2))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (ASSUME :args (_let_24)))) (let ((_let_62 (_let_4))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (and _let_45 _let_44))) (let ((_let_65 (ASSUME :args (_let_44)))) (let ((_let_66 (ASSUME :args (_let_45)))) (let ((_let_67 (tptp.c_in _let_17 _let_25 tptp.tc_Message_Omsg))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_29))) (let ((_let_70 (tptp.c_in _let_17 _let_8 tptp.tc_Message_Omsg))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_67))) (let ((_let_73 (not _let_18))) (let ((_let_74 (or _let_73 _let_70))) (let ((_let_75 (_let_7))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (tptp.c_Message_Omsg_ONonce V_NB))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.v_evso tptp.v_B tptp.v_A _let_14 tptp.v_NB tptp.v_Ba tptp.v_Aa _let_19 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair _let_77 V_nb_H))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na _let_77))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_11 _let_31 _let_30 _let_28 _let_35))) (ASSUME :args (_let_12)) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_29 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_67 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_70 (not _let_74)))) (ASSUME :args (_let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.v_B tptp.c_Message_Oagent_OServer _let_17 tptp.v_evso QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_75)) _let_76 :args (_let_74 false _let_7)) :args (_let_70 false _let_18 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_17 _let_8 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_72 false _let_5)) :args (_let_67 false _let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_16 _let_15 _let_8 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_69 false _let_6)) :args (_let_29 false _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_27 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_66) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_36)) (SYMM _let_66) (REFL :args (tptp.tc_Message_Omsg)) :args (APPLY_UF tptp.c_in)) (TRUE_INTRO _let_65))) :args (_let_44 _let_45))) :args (_let_45 _let_44))) :args (true _let_64)) :args ((or (not _let_45) _let_37 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Oanalz V_H)))) :args _let_62)) _let_63 :args (_let_45 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_44 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_31 _let_53 _let_46 (not _let_54)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_31 _let_57 _let_52 (not _let_58)))) _let_61 (ASSUME :args (_let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.v_evso tptp.v_Aa tptp.v_Ba _let_21 _let_10 _let_19 tptp.v_X QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair V_k (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_59)) _let_60 :args (_let_58 false _let_2)) :args (_let_52 false _let_24 false _let_23 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.v_evso tptp.c_Message_Oagent_OServer _let_36 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_3)) :args (_let_46 false _let_24 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_36 _let_9 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_48 false _let_5)) :args (_let_44 false _let_46 false _let_48)) :args (_let_37 false _let_45 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_22 _let_26 _let_8 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_39 false _let_6)) :args (_let_27 false _let_37 false _let_39)) :args (_let_35 true _let_11 false _let_24 false _let_29 false _let_27)) _let_34 :args (false true _let_32 false _let_1)) :args (_let_24 _let_23 _let_18 _let_12 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56  )
% 0.20/0.57  % SZS output end Proof for SWV352-2
% 0.20/0.57  % cvc5---1.0.5 exiting
% 0.20/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------