%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV298-2 : 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 03:17:00 PM UTC 2026
% Result : Unsatisfiable 2.32s 6.34s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 90 ( 55 unt; 27 def)
% Number of atoms : 306 ( 45 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 139 ( 73 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 30 ( 28 usr; 28 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 14 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f5,negated_conjecture,
! [X0] :
( v_B != v_Ba
| X0 != c_Message_Omsg_ONonce(v_NB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f6,plain,
! [X0] :
( v_B != v_Ba
| c_Message_Omsg_ONonce(v_NB) != X0 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,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) ).
fof(f8,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(f9,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f10,axiom,
! [X2,X0,X1] :
( c_in(X0,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_1) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4] :
( X4 = X3
| 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(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ 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_Ounique__NA__dest_0) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] :
( X3 = X4
| 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(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ 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)) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,plain,
v_B != v_Ba,
inference(equality_resolution,[],[f6]) ).
tcf(c_59,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,negated_conjecture,
v_B != v_Ba,
inference(cnf_transformation,[],[f13]) ).
tcf(c_64,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,[],[f7]) ).
tcf(c_65,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,[],[f8]) ).
tcf(c_66,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,[],[f9]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,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,[],[f10]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ( X2 = X4 )
| ~ 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(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ 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,[],[f12]) ).
tcf(c_149,definition,
iPr_def_10 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_150,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_151,definition,
iPr_def_12 = c_Message_Omsg_OAgent(v_Ba),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_152,definition,
iPr_def_13 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_153,definition,
iPr_def_14 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_154,definition,
iPr_def_15 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_155,definition,
iPr_def_16 = c_Message_Omsg_OCrypt(iPr_def_13,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_156,definition,
iPr_def_17 = c_Public_OshrK(v_Ba),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_157,definition,
iPr_def_18 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_158,definition,
iPr_def_19 = c_Message_Omsg_OMPair(iPr_def_18,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_159,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_160,definition,
iPr_def_21 = c_Message_Omsg_OCrypt(iPr_def_17,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_161,definition,
iPr_def_22 = c_Message_Omsg_OMPair(iPr_def_16,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_162,definition,
iPr_def_23 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_163,definition,
iPr_def_24 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_164,definition,
iPr_def_25 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_165,definition,
iPr_def_26 = c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_166,definition,
iPr_def_27 = c_List_Oset(v_evs3,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_167,definition,
iPr_def_28 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_168,definition,
iPr_def_29 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_169,definition,
iPr_def_30 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_29),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_170,definition,
iPr_def_31 = c_Message_Omsg_OCrypt(iPr_def_13,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_171,definition,
iPr_def_32 = c_Message_Omsg_OMPair(iPr_def_28,iPr_def_31),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_172,definition,
iPr_def_33 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_32),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_173,definition,
iPr_def_34 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_33),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_174,definition,
iPr_def_35 = c_Event_Oevent_OSays(v_A,v_B,iPr_def_34),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_175,definition,
iPr_def_36 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).
tcf(c_176,negated_conjecture,
v_B != v_Ba,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_177,negated_conjecture,
c_in(iPr_def_26,iPr_def_27,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_62,c_166,c_157,c_158,c_159,c_156,c_160,c_153,c_154,c_152,c_155,c_161,c_151,c_162,c_150,c_163,c_149,c_164,c_165]) ).
tcf(c_178,negated_conjecture,
c_in(iPr_def_35,iPr_def_27,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_61,c_168,c_169,c_170,c_167,c_171,c_172,c_173,c_174]) ).
tcf(c_179,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_36),
inference(demodulation,[status(thm)],[c_60,c_175]) ).
tcf(c_180,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_59]) ).
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_162,c_66]) ).
tcf(c_547,plain,
! [X0: $i] :
( c_in(iPr_def_23,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_24,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_163,c_66]) ).
tcf(c_548,plain,
! [X0: $i] :
( c_in(iPr_def_24,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_25,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_164,c_66]) ).
tcf(c_551,plain,
! [X0: $i] :
( c_in(iPr_def_31,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_32,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_171,c_66]) ).
tcf(c_552,plain,
! [X0: $i] :
( c_in(iPr_def_32,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_33,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_172,c_66]) ).
tcf(c_553,plain,
! [X0: $i] :
( c_in(iPr_def_33,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_34,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_173,c_66]) ).
tcf(c_637,plain,
! [X0: $i] :
( c_in(iPr_def_16,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_22,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_161,c_67]) ).
tcf(c_691,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_27,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_166,c_64]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ( X2 = X4 )
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_36)
| ~ 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(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ 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_68,c_175]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( X1 = X3 )
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ 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_150,c_701]) ).
tcf(c_752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( X1 = X3 )
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,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_719,c_150,c_152]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,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_752,c_180]) ).
tcf(c_794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = v_Ba )
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_151,c_753]) ).
tcf(c_795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = v_Ba )
| ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,iPr_def_14)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,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_794,c_153]) ).
tcf(c_844,plain,
! [X0: $i,X1: $i] :
( ( v_B = v_Ba )
| ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,iPr_def_14)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_11,iPr_def_28))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_167,c_795]) ).
tcf(c_846,plain,
! [X0: $i,X1: $i] :
( ( v_B = v_Ba )
| ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,iPr_def_29)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,iPr_def_14)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_844,c_168]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,iPr_def_29)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(X0,iPr_def_14)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_846,c_176]) ).
tcf(c_858,plain,
! [X0: $i] :
( ~ c_in(X0,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,iPr_def_15),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_13,c_Message_Omsg_OMPair(iPr_def_10,iPr_def_29)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_154,c_847]) ).
tcf(c_863,plain,
! [X0: $i] :
( ~ c_in(X0,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(iPr_def_31,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_858,c_155,c_169,c_170]) ).
tcf(c_1008,plain,
( c_in(iPr_def_25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(iPr_def_26,iPr_def_27,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_165,c_691]) ).
tcf(c_1009,plain,
( c_in(iPr_def_34,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(iPr_def_35,iPr_def_27,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_174,c_691]) ).
tcf(c_1010,plain,
c_in(iPr_def_34,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_1009,c_178]) ).
tcf(c_1011,plain,
c_in(iPr_def_25,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_1008,c_177]) ).
tcf(c_1019,plain,
c_in(iPr_def_33,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1010,c_553]) ).
tcf(c_1021,plain,
c_in(iPr_def_24,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1011,c_548]) ).
tcf(c_1032,plain,
c_in(iPr_def_32,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1019,c_552]) ).
tcf(c_1034,plain,
c_in(iPr_def_23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1021,c_547]) ).
tcf(c_1037,plain,
c_in(iPr_def_31,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1032,c_551]) ).
tcf(c_1047,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_1034,c_546]) ).
tcf(c_1049,plain,
c_in(iPr_def_31,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1037,c_65]) ).
tcf(c_1058,plain,
c_in(iPr_def_22,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1047,c_65]) ).
tcf(c_1116,plain,
( ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1049,c_863]) ).
tcf(c_1117,plain,
~ c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_1116,c_179]) ).
tcf(c_1118,plain,
c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1058,c_637]) ).
tcf(c_1119,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1118,c_1117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV298-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 % Computer : n003.cluster.edu
% 0.15/5.42 % Model : x86_64 x86_64
% 0.15/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42 % Memory : 8046.5625MB
% 0.15/5.42 % OS : Linux 6.8.0-71-generic
% 0.15/5.42 % CPULimit : 300
% 0.15/5.42 % WCLimit : 300
% 0.15/5.42 % DateTime : Thu Sep 24 19:07:28 UTC 2026
% 0.15/5.43 % CPUTime :
% 0.15/5.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.46 Running first-order theorem proving
% 0.15/5.46 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
% 0.15/5.47
% 0.15/5.47 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.47
% 0.15/5.47 % Detected problem language: tptp
% 0.15/5.48 % Proving...
% 2.32/6.34 % SZS status Started for theBenchmark.p
% 2.32/6.34 % SZS status Unsatisfiable for theBenchmark.p
% 2.32/6.34
% 2.32/6.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.32/6.34
% 2.32/6.34 % ------ iProver source info
% 2.32/6.34
% 2.32/6.34 % git: date: 2026-07-19 20:42:38 +0200
% 2.32/6.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.32/6.34 % git: non_committed_changes: false
% 2.32/6.34
% 2.32/6.34 % ------ Parsing...% successful
% 2.32/6.34
% 2.32/6.34
% 2.32/6.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.32/6.34
% 2.32/6.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.32/6.34
% 2.32/6.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.32/6.34
% 2.32/6.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.32/6.34 % ------ Proving...
% 2.32/6.34 % ------ Problem Properties
% 2.32/6.34
% 2.32/6.34 %
% 2.32/6.34 % clauses 37
% 2.32/6.34 % conjectures 5
% 2.32/6.34 % EPR 5
% 2.32/6.34 % Horn 36
% 2.32/6.34 % unary 32
% 2.32/6.34 % binary 4
% 2.32/6.34 % lits 45
% 2.32/6.34 % lits eq 29
% 2.32/6.34 % fd_pure 0
% 2.32/6.34 % fd_pseudo 0
% 2.32/6.34 % fd_cond 0
% 2.32/6.34 % fd_pseudo_cond 1
% 2.32/6.34 % AC symbols 0
% 2.32/6.34
% 2.32/6.34 % ------ Schedule dynamic 5 is on
% 2.32/6.34
% 2.32/6.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.32/6.34
% 2.32/6.34
% 2.32/6.34 % ------
% 2.32/6.34 % Current options:
% 2.32/6.34 % ------
% 2.32/6.34
% 2.32/6.34
% 2.32/6.34 %
% 2.32/6.34
% 2.32/6.34 % ------ Proving...
% 2.32/6.34 %
% 2.32/6.34
% 2.32/6.34 % SZS status Unsatisfiable for theBenchmark.p
% 2.32/6.34
% 2.32/6.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.32/6.34
% 2.32/6.34
%------------------------------------------------------------------------------