%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV769-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:24:10 PM UTC 2026
% Result : Unsatisfiable 98.37s 15.26s
% Output : CNFRefutation 98.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 19 unt; 0 def)
% Number of atoms : 110 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 53 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 20 con; 0-3 aty)
% Number of variables : 124 ( 0 sgn 124 !; 0 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
fof(f518,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
fof(f519,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
fof(f531,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f552,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
fof(f554,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
fof(f556,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
fof(f584,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
fof(f588,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
fof(f603,negated_conjecture,
hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f606,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f607,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f608,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f609,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f610,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f609]) ).
fof(f614,negated_conjecture,
( v_A != v_Aa
| v_B != v_Ba ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f655,plain,
hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
inference(definition_unfolding,[],[f606,f610]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f531]) ).
tcf(c_1078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f552]) ).
tcf(c_1080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X0 = X6 )
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f554]) ).
tcf(c_1082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X2 = X8 )
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(cnf_transformation,[],[f556]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f584]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_1123,negated_conjecture,
hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[],[f603]) ).
tcf(c_1126,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f655]) ).
tcf(c_1127,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
inference(cnf_transformation,[],[f607]) ).
tcf(c_1128,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f608]) ).
tcf(c_1130,negated_conjecture,
( ( v_B != v_Ba )
| ( v_A != v_Aa ) ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_11460,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_11462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_41690,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_11462,c_11460]) ).
tcf(c_97386,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_1061,c_1126]) ).
tcf(c_97487,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_1078,c_1126]) ).
tcf(c_112770,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[c_1109,c_97487]) ).
tcf(c_112879,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[c_112770,c_1048]) ).
tcf(c_113367,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[c_112879,c_1048]) ).
tcf(c_115121,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[c_113367,c_1049]) ).
tcf(c_117689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = v_A )
| ~ hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_1080,c_1128]) ).
tcf(c_117839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = v_B )
| ~ hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_1082,c_1128]) ).
tcf(c_117860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = v_A )
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(global_subsumption_just,[status(thm)],[c_117689,c_1123,c_117689]) ).
tcf(c_117871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X0 = v_A )
| ~ hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_117860,c_1105]) ).
tcf(c_118421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = v_B )
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(global_subsumption_just,[status(thm)],[c_117839,c_1123,c_117839]) ).
tcf(c_118432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X2 = v_B )
| ~ hBOOL(c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_118421,c_1105]) ).
tcf(c_118785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X0 = v_A )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)) ),
inference(global_subsumption_just,[status(thm)],[c_117871,c_1123,c_117871]) ).
tcf(c_118805,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| ( v_Aa = v_A ) ),
inference(resolution,[status(thm)],[c_118785,c_97386]) ).
tcf(c_118808,plain,
v_Aa = v_A,
inference(global_subsumption_just,[status(thm)],[c_118805,c_1127,c_115121,c_118805]) ).
tcf(c_118825,plain,
v_A = v_Aa,
inference(resolution,[status(thm)],[c_118808,c_41690]) ).
tcf(c_120330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X2 = v_B )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)) ),
inference(global_subsumption_just,[status(thm)],[c_118432,c_1123,c_118432]) ).
tcf(c_120350,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| ( v_Ba = v_B ) ),
inference(resolution,[status(thm)],[c_120330,c_97386]) ).
tcf(c_120353,plain,
v_Ba = v_B,
inference(global_subsumption_just,[status(thm)],[c_120350,c_1127,c_115121,c_120350]) ).
tcf(c_120370,plain,
v_B = v_Ba,
inference(resolution,[status(thm)],[c_120353,c_41690]) ).
tcf(c_120371,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_120370,c_118825,c_1130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV769-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 21:03:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 98.37/15.26 % SZS status Started for theBenchmark.p
% 98.37/15.26 % SZS status Unsatisfiable for theBenchmark.p
% 98.37/15.26
% 98.37/15.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 98.37/15.26
% 98.37/15.26 % ------ iProver source info
% 98.37/15.26
% 98.37/15.26 % git: date: 2026-07-19 20:42:38 +0200
% 98.37/15.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 98.37/15.26 % git: non_committed_changes: false
% 98.37/15.26
% 98.37/15.26 % ------ Parsing...% successful
% 98.37/15.26
% 98.37/15.26
% 98.37/15.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 98.37/15.26
% 98.37/15.26 % ------ Preprocessing... sup_sim: 23 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 98.37/15.26
% 98.37/15.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 98.37/15.26
% 98.37/15.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 98.37/15.26 % ------ Proving...
% 98.37/15.26 % ------ Problem Properties
% 98.37/15.26
% 98.37/15.26 %
% 98.37/15.26 % clauses 429
% 98.37/15.26 % conjectures 10
% 98.37/15.26 % EPR 24
% 98.37/15.26 % Horn 384
% 98.37/15.26 % unary 160
% 98.37/15.26 % binary 165
% 98.37/15.26 % lits 861
% 98.37/15.26 % lits eq 224
% 98.37/15.26 % fd_pure 0
% 98.37/15.26 % fd_pseudo 0
% 98.37/15.26 % fd_cond 5
% 98.37/15.26 % fd_pseudo_cond 52
% 98.37/15.26 % AC symbols 0
% 98.37/15.26
% 98.37/15.26 % ------ Input Options Time Limit: Unbounded
% 98.37/15.26
% 98.37/15.26
% 98.37/15.26 % ------
% 98.37/15.26 % Current options:
% 98.37/15.26 % ------
% 98.37/15.26
% 98.37/15.26
% 98.37/15.26 %
% 98.37/15.26
% 98.37/15.26 % ------ Proving...
% 98.37/15.26 %
% 98.37/15.26
% 98.37/15.26 % SZS status Unsatisfiable for theBenchmark.p
% 98.37/15.26
% 98.37/15.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 98.37/15.26
% 98.37/15.26
%------------------------------------------------------------------------------