%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV757-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 03:24:08 PM UTC 2026
% Result : Unsatisfiable 113.49s 26.43s
% Output : CNFRefutation 113.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 102 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 51 ~; 54 |; 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 : 31 ( 31 usr; 19 con; 0-4 aty)
% Number of variables : 106 ( 0 sgn 106 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f412,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/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
fof(f516,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X3,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(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X0,X1,X2,X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).
fof(f543,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/sandbox/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
fof(f557,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/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f575,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/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
fof(f577,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/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
fof(f579,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/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
fof(f617,negated_conjecture,
hBOOL(c_in(v_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f620,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,v_Ba,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f621,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f622,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),v_X))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f623,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f624,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f623]) ).
fof(f628,negated_conjecture,
( v_B != v_Ba
| v_A != v_Aa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f629,plain,
( v_Ba != v_B
| v_A != v_Aa ),
inference(reorient_equations,[],[f628]) ).
fof(f673,plain,
hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,v_Ba,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
inference(definition_unfolding,[],[f620,f624]) ).
tcf(c_984,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,[],[f412]) ).
tcf(c_1083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X2,X0,X1,X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X3,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(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_1105,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,[],[f543]) ).
tcf(c_1119,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,[],[f557]) ).
tcf(c_1133,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,[],[f575]) ).
tcf(c_1135,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,[],[f577]) ).
tcf(c_1137,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,[],[f579]) ).
tcf(c_1173,negated_conjecture,
hBOOL(c_in(v_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[],[f617]) ).
tcf(c_1176,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,v_Ba,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f673]) ).
tcf(c_1177,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
inference(cnf_transformation,[],[f621]) ).
tcf(c_1178,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),v_X))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[],[f622]) ).
tcf(c_1180,negated_conjecture,
( ( v_Ba != v_B )
| ( v_A != v_Aa ) ),
inference(cnf_transformation,[],[f629]) ).
tcf(c_1720,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_21402,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_1722,c_1720]) ).
tcf(c_46907,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_1119,c_1176]) ).
tcf(c_46965,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_1133,c_1176]) ).
tcf(c_65471,plain,
( hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[c_984,c_46965]) ).
tcf(c_65536,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[c_65471,c_1105]) ).
tcf(c_72976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = v_A )
| ~ hBOOL(c_in(v_evs4,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_evs4,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_1135,c_1178]) ).
tcf(c_73219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = v_B )
| ~ hBOOL(c_in(v_evs4,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_evs4,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_1137,c_1178]) ).
tcf(c_73271,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_evs4,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(global_subsumption_just,[status(thm)],[c_72976,c_1173,c_72976]) ).
tcf(c_73502,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_evs4,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(global_subsumption_just,[status(thm)],[c_73219,c_1173,c_73219]) ).
tcf(c_75195,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X1 = v_A )
| ~ hBOOL(c_in(v_evs4,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(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_1083,c_73271]) ).
tcf(c_75197,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X0 = v_B )
| ~ hBOOL(c_in(v_evs4,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(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_1083,c_73502]) ).
tcf(c_76173,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X1 = v_A )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)) ),
inference(global_subsumption_just,[status(thm)],[c_75195,c_1173,c_75195]) ).
tcf(c_76192,plain,
( hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ( v_Aa = v_A ) ),
inference(resolution,[status(thm)],[c_76173,c_46907]) ).
tcf(c_76245,plain,
v_Aa = v_A,
inference(global_subsumption_just,[status(thm)],[c_76192,c_1177,c_65536,c_76192]) ).
tcf(c_76264,plain,
v_A = v_Aa,
inference(resolution,[status(thm)],[c_76245,c_21402]) ).
tcf(c_76433,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ( X0 = v_B )
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)) ),
inference(global_subsumption_just,[status(thm)],[c_75197,c_1173,c_75197]) ).
tcf(c_76502,plain,
( hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ( v_Ba = v_B ) ),
inference(resolution,[status(thm)],[c_76433,c_46907]) ).
tcf(c_76503,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_76502,c_76264,c_65536,c_1177,c_1180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV757-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 21:00:22 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.52
% 0.27/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.27/0.52
% 0.27/0.52 % Detected problem language: tptp
% 0.27/0.54 % Proving...
% 113.49/26.43 % SZS status Started for theBenchmark.p
% 113.49/26.43 % SZS status Unsatisfiable for theBenchmark.p
% 113.49/26.43
% 113.49/26.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 113.49/26.43
% 113.49/26.43 % ------ iProver source info
% 113.49/26.43
% 113.49/26.43 % git: date: 2026-07-19 20:42:38 +0200
% 113.49/26.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 113.49/26.43 % git: non_committed_changes: false
% 113.49/26.43
% 113.49/26.43 % ------ Parsing...% successful
% 113.49/26.43
% 113.49/26.43
% 113.49/26.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 113.49/26.43
% 113.49/26.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 113.49/26.43
% 113.49/26.43 % ------ Preprocessing...%
% 113.49/26.43
% 113.49/26.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 113.49/26.43 % ------ Proving...
% 113.49/26.43 % ------ Problem Properties
% 113.49/26.43
% 113.49/26.43 %
% 113.49/26.43 % clauses 504
% 113.49/26.43 % conjectures 9
% 113.49/26.43 % EPR 28
% 113.49/26.43 % Horn 457
% 113.49/26.43 % unary 199
% 113.49/26.43 % binary 190
% 113.49/26.43 % lits 982
% 113.49/26.43 % lits eq 256
% 113.49/26.43 % fd_pure 0
% 113.49/26.43 % fd_pseudo 0
% 113.49/26.43 % fd_cond 5
% 113.49/26.43 % fd_pseudo_cond 56
% 113.49/26.43 % AC symbols 0
% 113.49/26.43
% 113.49/26.43 % ------ Input Options Time Limit: Unbounded
% 113.49/26.43
% 113.49/26.43
% 113.49/26.43 % ------
% 113.49/26.43 % Current options:
% 113.49/26.43 % ------
% 113.49/26.43
% 113.49/26.43
% 113.49/26.43 %
% 113.49/26.43
% 113.49/26.43 % ------ Proving...
% 113.49/26.43 %
% 113.49/26.43
% 113.49/26.43 % SZS status Unsatisfiable for theBenchmark.p
% 113.49/26.43
% 113.49/26.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.49/26.43
% 113.49/26.43
%------------------------------------------------------------------------------