%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV301-2 : 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 : n016.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 03:17:11 PM UTC 2026
% Result : Unsatisfiable 0.46s 1.29s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 36
% Syntax : Number of formulae : 83 ( 45 unt; 23 def)
% Number of atoms : 273 ( 27 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 114 ( 56 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 24 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
( v_B = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f7,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),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(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_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f8,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_0) ).
fof(f9,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f10,axiom,
! [X2,X0,X1] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f11,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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f12,axiom,
! [X0,X1] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),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/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
tcf(c_62,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_63,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f5]) ).
tcf(c_67,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ( v_B = c_Message_Oagent_OSpy ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] :
( 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_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,plain,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f8]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_72,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,[],[f11]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_81,plain,
! [X0: $i] :
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_66,c_68]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
inference(renaming,[status(thm)],[c_81]) ).
tcf(c_184,definition,
iPr_def_10 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_185,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_186,definition,
iPr_def_12 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_187,definition,
iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_188,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_NB,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_189,definition,
iPr_def_15 = c_Message_Omsg_OMPair(v_NA,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_190,definition,
iPr_def_16 = c_Message_Omsg_OCrypt(iPr_def_12,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_191,definition,
iPr_def_17 = c_List_Oset(v_evsf,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_192,definition,
iPr_def_18 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_193,definition,
iPr_def_19 = c_Message_Omsg_OMPair(v_NB,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_194,definition,
iPr_def_20 = c_Message_Omsg_OCrypt(iPr_def_12,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_195,definition,
iPr_def_21 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_196,definition,
iPr_def_22 = c_Message_Oparts(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_197,definition,
iPr_def_23 = c_Message_Omsg_OMPair(v_x,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_198,definition,
iPr_def_24 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_199,definition,
iPr_def_25 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_200,definition,
iPr_def_26 = c_Message_Omsg_OMPair(v_NA,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_201,definition,
iPr_def_27 = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,iPr_def_26),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_208,definition,
iPr_def_34 = c_insert(v_X,iPr_def_21,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_209,definition,
iPr_def_35 = c_Message_Oparts(iPr_def_34),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_210,definition,
iPr_def_36 = c_Message_Oanalz(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).
tcf(c_211,definition,
iPr_def_37 = c_Message_Osynth(iPr_def_36),
introduced(definition,[new_symbols(definition,[iPr_def_37])],[]) ).
tcf(c_212,definition,
iPr_def_38 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_38])],[]) ).
tcf(c_213,negated_conjecture,
! [X0: $i] :
( ~ c_in(iPr_def_20,iPr_def_22,tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(X0,iPr_def_16))))),iPr_def_17,tc_Event_Oevent) ),
inference(demodulation,[status(thm)],[c_82,c_195,c_196,c_192,c_193,c_194,c_191,c_187,c_188,c_189,c_186,c_190,c_185,c_184]) ).
tcf(c_214,negated_conjecture,
( c_in(iPr_def_27,iPr_def_17,tc_Event_Oevent)
| ( v_B = c_Message_Oagent_OSpy ) ),
inference(demodulation,[status(thm)],[c_67,c_197,c_198,c_199,c_200,c_201]) ).
tcf(c_216,negated_conjecture,
c_in(iPr_def_20,iPr_def_35,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_65,c_208,c_209]) ).
tcf(c_217,negated_conjecture,
c_in(v_X,iPr_def_37,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_64,c_210,c_211]) ).
tcf(c_218,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_38),
inference(demodulation,[status(thm)],[c_63,c_212]) ).
tcf(c_219,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_663,plain,
( ~ c_in(iPr_def_20,iPr_def_22,tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,iPr_def_23)))),iPr_def_17,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_197,c_213]) ).
tcf(c_664,plain,
( ~ c_in(iPr_def_27,iPr_def_17,tc_Event_Oevent)
| ~ c_in(iPr_def_20,iPr_def_22,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_663,c_198,c_199,c_200,c_201]) ).
tcf(c_675,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_21),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_36,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_210,c_72]) ).
tcf(c_676,plain,
! [X0: $i] :
( c_in(X0,iPr_def_22,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_36,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_675,c_196]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),iPr_def_36,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_36,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_37,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_211,c_70]) ).
tcf(c_726,plain,
( c_in(c_Message_Omsg_OKey(iPr_def_12),iPr_def_36,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(iPr_def_12,iPr_def_19),iPr_def_36,tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_37,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_194,c_699]) ).
tcf(c_732,plain,
( c_in(iPr_def_20,iPr_def_36,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_12),iPr_def_36,tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_37,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_726,c_194]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_38)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_73,c_212]) ).
tcf(c_752,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_38)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(iPr_def_21),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_195,c_740]) ).
tcf(c_753,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_38)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_22,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_752,c_196]) ).
tcf(c_754,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_22,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_753,c_218]) ).
tcf(c_772,plain,
! [X0: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_21)),c_Message_Oparts(iPr_def_21),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_34),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_21)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_208,c_71]) ).
tcf(c_773,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_37,iPr_def_22,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_37,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_35,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_772,c_196,c_209,c_210,c_211]) ).
tcf(c_774,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_37,iPr_def_22,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_35,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_773,c_217]) ).
tcf(c_782,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(iPr_def_12),iPr_def_22,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_186,c_754]) ).
tcf(c_786,plain,
~ c_in(c_Message_Omsg_OKey(iPr_def_12),iPr_def_22,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_782,c_219]) ).
tcf(c_795,plain,
! [X0: $i] :
( c_in(X0,iPr_def_37,tc_Message_Omsg)
| c_in(X0,iPr_def_22,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_35,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_774,c_74]) ).
tcf(c_806,plain,
( c_in(iPr_def_20,iPr_def_37,tc_Message_Omsg)
| c_in(iPr_def_20,iPr_def_22,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_216,c_795]) ).
tcf(c_835,plain,
( c_in(iPr_def_20,iPr_def_36,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_12),iPr_def_22,tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_37,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_732,c_676]) ).
tcf(c_836,plain,
( c_in(iPr_def_20,iPr_def_36,tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_37,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_835,c_786]) ).
tcf(c_845,plain,
( c_in(iPr_def_20,iPr_def_36,tc_Message_Omsg)
| c_in(iPr_def_20,iPr_def_22,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_806,c_836]) ).
tcf(c_850,plain,
c_in(iPr_def_20,iPr_def_22,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_845,c_676]) ).
tcf(c_851,plain,
~ c_in(iPr_def_27,iPr_def_17,tc_Event_Oevent),
inference(backward_subsumption_resolution,[status(thm)],[c_664,c_850]) ).
tcf(c_853,plain,
v_B = c_Message_Oagent_OSpy,
inference(backward_subsumption_resolution,[status(thm)],[c_214,c_851]) ).
tcf(c_857,plain,
c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_69,c_853]) ).
tcf(c_858,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_857,c_219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV301-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 19:10:58 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 0.46/1.29 % SZS status Started for theBenchmark.p
% 0.46/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.29
% 0.46/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.46/1.29
% 0.46/1.29 % ------ iProver source info
% 0.46/1.29
% 0.46/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.46/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.46/1.29 % git: non_committed_changes: false
% 0.46/1.29
% 0.46/1.29 % ------ Parsing...% successful
% 0.46/1.29
% 0.46/1.29
% 0.46/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.46/1.29
% 0.46/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.46/1.29
% 0.46/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.46/1.29
% 0.46/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.29 % ------ Proving...
% 0.46/1.29 % ------ Problem Properties
% 0.46/1.29
% 0.46/1.29 %
% 0.46/1.29 % clauses 42
% 0.46/1.29 % conjectures 7
% 0.46/1.29 % EPR 7
% 0.46/1.29 % Horn 39
% 0.46/1.29 % unary 35
% 0.46/1.29 % binary 3
% 0.46/1.29 % lits 53
% 0.46/1.29 % lits eq 30
% 0.46/1.29 % fd_pure 0
% 0.46/1.29 % fd_pseudo 0
% 0.46/1.29 % fd_cond 0
% 0.46/1.29 % fd_pseudo_cond 0
% 0.46/1.29 % AC symbols 0
% 0.46/1.29
% 0.46/1.29 % ------ Schedule dynamic 5 is on
% 0.46/1.29
% 0.46/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.29
% 0.46/1.29
% 0.46/1.29 % ------
% 0.46/1.29 % Current options:
% 0.46/1.29 % ------
% 0.46/1.29
% 0.46/1.29
% 0.46/1.29 %
% 0.46/1.29
% 0.46/1.29 % ------ Proving...
% 0.46/1.29 %
% 0.46/1.29
% 0.46/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.29
% 0.46/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.29
% 0.46/1.29
%------------------------------------------------------------------------------