%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV293-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 03:16:59 PM UTC 2026
% Result : Unsatisfiable 2.20s 1.30s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 62 ( 32 unt; 13 def)
% Number of atoms : 218 ( 13 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 96 ( 49 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 14 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f6,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Event_Oevent_OSays(X1,X3,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR1__dest_0) ).
fof(f8,axiom,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),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/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
tcf(c_58,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X0,X2,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_106,definition,
iPr_def_10 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_107,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_108,definition,
iPr_def_12 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_109,definition,
iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_110,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_111,definition,
iPr_def_15 = c_Message_Omsg_OCrypt(iPr_def_12,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_112,definition,
iPr_def_16 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_113,definition,
iPr_def_17 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_114,definition,
iPr_def_18 = c_Message_Omsg_OMPair(v_NA,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_115,definition,
iPr_def_19 = c_Event_Oevent_OSays(v_A,v_B,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_116,definition,
iPr_def_20 = c_List_Oset(v_evs,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_117,definition,
iPr_def_21 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_118,definition,
iPr_def_22 = c_Event_Oevent_OGets(v_B,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_119,negated_conjecture,
~ c_in(iPr_def_19,iPr_def_20,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_61,c_116,c_109,c_110,c_108,c_111,c_107,c_112,c_106,c_113,c_114,c_115]) ).
tcf(c_120,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21),
inference(demodulation,[status(thm)],[c_60,c_117]) ).
tcf(c_121,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_122,negated_conjecture,
c_in(iPr_def_22,iPr_def_20,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_58,c_118]) ).
tcf(c_429,plain,
! [X0: $i] :
( c_in(iPr_def_15,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_112,c_62]) ).
tcf(c_430,plain,
! [X0: $i] :
( c_in(iPr_def_16,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_431,plain,
! [X0: $i] :
( c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_114,c_62]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_20,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_116,c_66]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_65,c_117]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs),X0,X1),iPr_def_20,tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_116,c_487]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs),X0,X1),iPr_def_20,tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_20,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_497,c_116]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs),X0,X1),iPr_def_20,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_20,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502,c_120]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X0,X2,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_64,c_117]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_106,c_508]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_526,c_106,c_108]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_555,c_121]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_20,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_503,c_472]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))))))),iPr_def_20,tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_116,c_556]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))))))),iPr_def_20,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_619,c_120]) ).
tcf(c_646,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,iPr_def_11))))))),iPr_def_20,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_107,c_624]) ).
tcf(c_648,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,iPr_def_13)))))),iPr_def_20,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(X0,iPr_def_13)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_646,c_107,c_109]) ).
tcf(c_702,plain,
( c_in(iPr_def_18,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(iPr_def_22,iPr_def_20,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_118,c_605]) ).
tcf(c_703,plain,
c_in(iPr_def_18,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_702,c_122]) ).
tcf(c_704,plain,
c_in(iPr_def_18,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_703,c_63]) ).
tcf(c_705,plain,
c_in(iPr_def_17,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_704,c_431]) ).
tcf(c_799,plain,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OCrypt(iPr_def_12,iPr_def_14))))),iPr_def_20,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_12,c_Message_Omsg_OMPair(v_NA,iPr_def_13)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_110,c_648]) ).
tcf(c_801,plain,
( c_in(iPr_def_19,iPr_def_20,tc_Event_Oevent)
| ~ c_in(iPr_def_15,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_799,c_110,c_111,c_112,c_113,c_114,c_115]) ).
tcf(c_802,plain,
~ c_in(iPr_def_15,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_801,c_119]) ).
tcf(c_810,plain,
c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_705,c_430]) ).
tcf(c_811,plain,
c_in(iPr_def_15,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_810,c_429]) ).
tcf(c_812,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_811,c_802]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV293-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.37 % Computer : n003.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Thu Sep 24 19:05:36 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 2.20/1.30 % SZS status Started for theBenchmark.p
% 2.20/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/1.30
% 2.20/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.20/1.30
% 2.20/1.30 % ------ iProver source info
% 2.20/1.30
% 2.20/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.20/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.20/1.30 % git: non_committed_changes: false
% 2.20/1.30
% 2.20/1.30 % ------ Parsing...% successful
% 2.20/1.30
% 2.20/1.30
% 2.20/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.20/1.30
% 2.20/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.20/1.30
% 2.20/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.20/1.30
% 2.20/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.20/1.30 % ------ Proving...
% 2.20/1.30 % ------ Problem Properties
% 2.20/1.30
% 2.20/1.30 %
% 2.20/1.30 % clauses 22
% 2.20/1.30 % conjectures 4
% 2.20/1.30 % EPR 4
% 2.20/1.30 % Horn 21
% 2.20/1.30 % unary 17
% 2.20/1.30 % binary 3
% 2.20/1.30 % lits 30
% 2.20/1.30 % lits eq 13
% 2.20/1.30 % fd_pure 0
% 2.20/1.30 % fd_pseudo 0
% 2.20/1.30 % fd_cond 0
% 2.20/1.30 % fd_pseudo_cond 0
% 2.20/1.30 % AC symbols 0
% 2.20/1.30
% 2.20/1.30 % ------ Schedule dynamic 5 is on
% 2.20/1.30
% 2.20/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.20/1.30
% 2.20/1.30
% 2.20/1.30 % ------
% 2.20/1.30 % Current options:
% 2.20/1.30 % ------
% 2.20/1.30
% 2.20/1.30
% 2.20/1.30 %
% 2.20/1.30
% 2.20/1.30 % ------ Proving...
% 2.20/1.30 %
% 2.20/1.30
% 2.20/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/1.30
% 2.20/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.20/1.30
% 2.20/1.30
%------------------------------------------------------------------------------