%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV313-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 03:17:15 PM UTC 2026
% Result : Unsatisfiable 1.74s 1.25s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 54 ( 34 unt; 15 def)
% Number of atoms : 219 ( 15 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 99 ( 46 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 16 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f7,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).
tcf(c_57,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_95,definition,
iPr_def_10 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_96,definition,
iPr_def_11 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_97,definition,
iPr_def_12 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_98,definition,
iPr_def_13 = c_Message_Omsg_OMPair(v_NB,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_99,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_100,definition,
iPr_def_15 = c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_101,definition,
iPr_def_16 = c_List_Oset(v_evs,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_102,definition,
iPr_def_17 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_103,definition,
iPr_def_18 = c_Message_Omsg_OMPair(v_NA,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_104,definition,
iPr_def_19 = c_Message_Omsg_OCrypt(iPr_def_17,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_105,definition,
iPr_def_20 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_106,definition,
iPr_def_21 = c_Message_Omsg_OCrypt(iPr_def_20,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_107,definition,
iPr_def_22 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_108,definition,
iPr_def_23 = c_Message_Omsg_OMPair(v_NA,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_109,definition,
iPr_def_24 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_110,negated_conjecture,
c_in(iPr_def_10,iPr_def_11,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_62,c_96,c_95]) ).
tcf(c_111,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,iPr_def_12),
inference(demodulation,[status(thm)],[c_61,c_97]) ).
tcf(c_112,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_113,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_114,negated_conjecture,
~ c_in(iPr_def_15,iPr_def_16,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_58,c_101,c_98,c_99,c_100]) ).
tcf(c_115,negated_conjecture,
c_in(iPr_def_24,iPr_def_16,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_57,c_105,c_106,c_103,c_102,c_104,c_107,c_108,c_109]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_OtwayRees_Ootway,iPr_def_12)
| ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_64,c_97]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_12)
| ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))))),iPr_def_16,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_101,c_406]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_12)
| ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))))),iPr_def_16,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_431,c_96,c_101]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))))),iPr_def_16,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_432,c_111]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X2)))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(iPr_def_20,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X2)))))),iPr_def_16,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_105,c_433]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X2)))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(iPr_def_20,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X2)))))),iPr_def_16,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490,c_112]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X1)))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(iPr_def_20,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X1)))))),iPr_def_16,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_102,c_498]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X1)))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(iPr_def_20,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X1)))))),iPr_def_16,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_531,c_113]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K)))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,iPr_def_10)),c_Message_Omsg_OCrypt(iPr_def_20,c_Message_Omsg_OMPair(X1,iPr_def_10))))),iPr_def_16,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_95,c_544]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_10))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(iPr_def_10,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,iPr_def_10)),c_Message_Omsg_OCrypt(iPr_def_20,c_Message_Omsg_OMPair(X1,iPr_def_10))))),iPr_def_16,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_733,c_95]) ).
tcf(c_812,plain,
( c_in(iPr_def_10,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_10,iPr_def_11,tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_10))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,iPr_def_10)),c_Message_Omsg_OCrypt(iPr_def_20,c_Message_Omsg_OMPair(X1,iPr_def_10))))),iPr_def_16,tc_Event_Oevent) ),
inference(global_subsumption_just,[status(thm)],[c_735,c_110,c_735,c_812]) ).
tcf(c_1030,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(v_NB,iPr_def_10))),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,iPr_def_10)),c_Message_Omsg_OCrypt(iPr_def_20,iPr_def_13)))),iPr_def_16,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_98,c_1021]) ).
tcf(c_1035,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,iPr_def_13)),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,iPr_def_10)),iPr_def_21))),iPr_def_16,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_1030,c_98,c_106]) ).
tcf(c_1052,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,iPr_def_13)),iPr_def_16,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_17,iPr_def_18),iPr_def_21))),iPr_def_16,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_103,c_1035]) ).
tcf(c_1053,plain,
( c_in(iPr_def_15,iPr_def_16,tc_Event_Oevent)
| ~ c_in(iPr_def_24,iPr_def_16,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_1052,c_99,c_100,c_104,c_107,c_108,c_109]) ).
tcf(c_1054,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1053,c_114,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV313-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 19:10:58 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 1.74/1.25 % SZS status Started for theBenchmark.p
% 1.74/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/1.25
% 1.74/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.74/1.25
% 1.74/1.25 % ------ iProver source info
% 1.74/1.25
% 1.74/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.74/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.74/1.25 % git: non_committed_changes: false
% 1.74/1.25
% 1.74/1.25 % ------ Parsing...% successful
% 1.74/1.25
% 1.74/1.25
% 1.74/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.74/1.25
% 1.74/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.74/1.25
% 1.74/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.74/1.25
% 1.74/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.74/1.25 % ------ Proving...
% 1.74/1.25 % ------ Problem Properties
% 1.74/1.25
% 1.74/1.25 %
% 1.74/1.25 % clauses 23
% 1.74/1.25 % conjectures 6
% 1.74/1.25 % EPR 6
% 1.74/1.25 % Horn 22
% 1.74/1.25 % unary 21
% 1.74/1.25 % binary 1
% 1.74/1.25 % lits 29
% 1.74/1.25 % lits eq 15
% 1.74/1.25 % fd_pure 0
% 1.74/1.25 % fd_pseudo 0
% 1.74/1.25 % fd_cond 0
% 1.74/1.25 % fd_pseudo_cond 0
% 1.74/1.25 % AC symbols 0
% 1.74/1.25
% 1.74/1.25 % ------ Schedule dynamic 5 is on
% 1.74/1.25
% 1.74/1.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.74/1.25
% 1.74/1.25
% 1.74/1.25 % ------
% 1.74/1.25 % Current options:
% 1.74/1.25 % ------
% 1.74/1.25
% 1.74/1.25
% 1.74/1.25 %
% 1.74/1.25
% 1.74/1.25 % ------ Proving...
% 1.74/1.25 %
% 1.74/1.25
% 1.74/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/1.25
% 1.74/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.74/1.25
% 1.74/1.25
%------------------------------------------------------------------------------