%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV311-2 : 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 : 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 03:17:14 PM UTC 2026
% Result : Unsatisfiable 2.09s 11.50s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 87 ( 54 unt; 19 def)
% Number of atoms : 304 ( 30 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 105 ( 55 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 22 ( 20 usr; 20 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-5 aty)
% Number of variables : 86 ( 0 sgn 86 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f3,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(f4,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(v_sko__u__1(X4,X1,X2,X3,X0),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(X1)))))))))),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(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(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_OCrypt__imp__OR2__dest_0) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
fof(f6,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f7,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f8,negated_conjecture,
v_NB = c_Message_Omsg_ONonce(v_NBa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f9,negated_conjecture,
! [X0] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f10,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f11,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f12,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f13,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(definition_unfolding,[],[f6,f11]) ).
tcf(c_61,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,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f2]) ).
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,[],[f3]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(v_sko__u__1(X3,X0,X1,X2,X4),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X0)))))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,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(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X0))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f4]) ).
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,[],[f5]) ).
tcf(c_66,negated_conjecture,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f14]) ).
tcf(c_67,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,negated_conjecture,
c_Message_Omsg_ONonce(v_NBa) = v_NB,
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f9]) ).
tcf(c_70,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,negated_conjecture,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(cnf_transformation,[],[f13]) ).
tcf(c_132,plain,
! [X0: $i] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(light_normalisation,[status(thm)],[c_69,c_68,c_71]) ).
tcf(c_133,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(light_normalisation,[status(thm)],[c_70,c_68,c_71]) ).
tcf(c_159,definition,
iPr_def_10 = c_Message_Omsg_OAgent(v_Aa),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_160,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_Ba),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_161,definition,
iPr_def_12 = c_Public_OshrK(v_Aa),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_162,definition,
iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_163,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_164,definition,
iPr_def_15 = c_Message_Omsg_OCrypt(iPr_def_12,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_165,definition,
iPr_def_16 = c_Public_OshrK(v_Ba),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_166,definition,
iPr_def_17 = c_Message_Omsg_OMPair(v_NB,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_167,definition,
iPr_def_18 = c_Message_Omsg_OMPair(v_NA,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_168,definition,
iPr_def_19 = c_Message_Omsg_OCrypt(iPr_def_16,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_169,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_15,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_170,definition,
iPr_def_21 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_171,definition,
iPr_def_22 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_172,definition,
iPr_def_23 = c_Message_Omsg_OMPair(v_NA,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_173,definition,
iPr_def_24 = c_Event_Oevent_OGets(c_Message_Oagent_OServer,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_174,definition,
iPr_def_25 = c_List_Oset(v_evs3,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_175,definition,
iPr_def_26 = c_Message_Omsg_ONonce(v_NAa),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_176,definition,
iPr_def_27 = c_Message_Omsg_ONonce(v_NBa),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_177,definition,
iPr_def_28 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_178,plain,
c_in(iPr_def_24,iPr_def_25,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_133,c_174,c_166,c_167,c_165,c_168,c_162,c_163,c_161,c_164,c_169,c_160,c_170,c_159,c_171,c_172,c_173]) ).
tcf(c_179,plain,
! [X0: $i] : ~ c_in(c_Event_Oevent_OSays(v_Ba,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_19))))),iPr_def_25,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_180,negated_conjecture,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_181,negated_conjecture,
iPr_def_26 = v_NA,
inference(demodulation,[status(thm)],[c_71,c_175]) ).
tcf(c_182,negated_conjecture,
iPr_def_27 = v_NB,
inference(demodulation,[status(thm)],[c_68,c_176]) ).
tcf(c_183,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_28),
inference(demodulation,[status(thm)],[c_67,c_177]) ).
tcf(c_525,plain,
! [X0: $i] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(X0,iPr_def_19))))),iPr_def_25,tc_Event_Oevent),
inference(light_normalisation,[status(thm)],[c_179,c_181]) ).
tcf(c_527,plain,
c_Message_Omsg_OMPair(iPr_def_27,iPr_def_13) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_166,c_182]) ).
tcf(c_528,plain,
c_Message_Omsg_OMPair(iPr_def_26,iPr_def_17) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_167,c_181]) ).
tcf(c_531,plain,
c_Message_Omsg_OMPair(iPr_def_26,iPr_def_22) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_172,c_181]) ).
tcf(c_540,plain,
! [X0: $i] :
( c_in(iPr_def_19,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_20,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_169,c_62]) ).
tcf(c_541,plain,
! [X0: $i] :
( c_in(iPr_def_20,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_21,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_170,c_62]) ).
tcf(c_542,plain,
! [X0: $i] :
( c_in(iPr_def_21,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_22,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_171,c_62]) ).
tcf(c_546,plain,
! [X0: $i] :
( c_in(iPr_def_22,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_23,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_531,c_62]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_25,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_174,c_61]) ).
tcf(c_615,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_28)
| ~ 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_177]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs3),X0,X1),iPr_def_25,tc_Event_Oevent)
| ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_28)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_174,c_615]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs3),X0,X1),iPr_def_25,tc_Event_Oevent)
| ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_28)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_25,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_625,c_174]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs3),X0,X1),iPr_def_25,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_25,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_630,c_183]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_25,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_631,c_575]) ).
tcf(c_648,plain,
( c_in(iPr_def_23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(iPr_def_24,iPr_def_25,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_173,c_640]) ).
tcf(c_649,plain,
c_in(iPr_def_23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_648,c_178]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(v_sko__u__1(X3,X0,X1,X2,X4),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X0)))))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_OtwayRees_Ootway,iPr_def_28)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X0))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_64,c_177]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(X2,v_Ba,X0,X1,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_28)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_160,c_663]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(X2,v_Ba,X0,X1,X3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_28)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_685,c_160,c_165]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(X2,v_Ba,X0,X1,X3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_28)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_696,c_180]) ).
tcf(c_726,plain,
c_in(iPr_def_22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_649,c_546]) ).
tcf(c_744,plain,
c_in(iPr_def_21,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_726,c_542]) ).
tcf(c_746,plain,
c_in(iPr_def_20,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_744,c_541]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(X2,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11))))))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_28)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_174,c_697]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(X2,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11))))))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_757,c_183]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_10,iPr_def_11))))))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),iPr_def_11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_159,c_762]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_13)))))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_13))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_783,c_159,c_162]) ).
tcf(c_973,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,iPr_def_27,v_evs3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,iPr_def_17))))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_27,iPr_def_13))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_527,c_789]) ).
tcf(c_975,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,iPr_def_27,v_evs3),c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,iPr_def_17))))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(X0,iPr_def_17)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_973,c_527]) ).
tcf(c_1063,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,iPr_def_26,iPr_def_27,v_evs3),c_Message_Omsg_OCrypt(iPr_def_16,iPr_def_18)))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_16,c_Message_Omsg_OMPair(iPr_def_26,iPr_def_17)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_528,c_975]) ).
tcf(c_1065,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,iPr_def_26,iPr_def_27,v_evs3),iPr_def_19))))),iPr_def_25,tc_Event_Oevent)
| ~ c_in(iPr_def_19,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1063,c_168,c_528]) ).
tcf(c_1066,plain,
~ c_in(iPr_def_19,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_1065,c_525]) ).
tcf(c_1071,plain,
c_in(iPr_def_19,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_746,c_540]) ).
tcf(c_1076,plain,
c_in(iPr_def_19,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1071,c_63]) ).
tcf(c_1077,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1076,c_1066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV311-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.59 % Computer : n013.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Thu Sep 24 19:09:20 UTC 2026
% 0.11/10.59 % CPUTime :
% 0.11/10.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.63 Running first-order theorem proving
% 0.15/10.63 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
% 0.15/10.64
% 0.15/10.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.64
% 0.15/10.64 % Detected problem language: tptp
% 0.15/10.65 % Proving...
% 2.09/11.50 % SZS status Started for theBenchmark.p
% 2.09/11.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/11.50
% 2.09/11.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.09/11.50
% 2.09/11.50 % ------ iProver source info
% 2.09/11.50
% 2.09/11.50 % git: date: 2026-07-19 20:42:38 +0200
% 2.09/11.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.09/11.50 % git: non_committed_changes: false
% 2.09/11.50
% 2.09/11.50 % ------ Parsing...% successful
% 2.09/11.50
% 2.09/11.50
% 2.09/11.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.09/11.50
% 2.09/11.50 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.09/11.50
% 2.09/11.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.09/11.50
% 2.09/11.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.09/11.50 % ------ Proving...
% 2.09/11.50 % ------ Problem Properties
% 2.09/11.50
% 2.09/11.50 %
% 2.09/11.50 % clauses 30
% 2.09/11.50 % conjectures 4
% 2.09/11.50 % EPR 5
% 2.09/11.50 % Horn 29
% 2.09/11.50 % unary 25
% 2.09/11.50 % binary 3
% 2.09/11.50 % lits 38
% 2.09/11.50 % lits eq 21
% 2.09/11.50 % fd_pure 0
% 2.09/11.50 % fd_pseudo 0
% 2.09/11.50 % fd_cond 0
% 2.09/11.50 % fd_pseudo_cond 0
% 2.09/11.50 % AC symbols 0
% 2.09/11.50
% 2.09/11.50 % ------ Schedule dynamic 5 is on
% 2.09/11.50
% 2.09/11.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.09/11.50
% 2.09/11.50
% 2.09/11.50 % ------
% 2.09/11.50 % Current options:
% 2.09/11.50 % ------
% 2.09/11.50
% 2.09/11.50
% 2.09/11.50 %
% 2.09/11.50
% 2.09/11.50 % ------ Proving...
% 2.09/11.50 %
% 2.09/11.50
% 2.09/11.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/11.50
% 2.09/11.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.09/11.50
% 2.09/11.50
%------------------------------------------------------------------------------