%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV299-2 : 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 1.91s 1.48s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 35
% Syntax : Number of formulae : 83 ( 52 unt; 27 def)
% Number of atoms : 286 ( 27 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 114 ( 64 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 81 ( 0 sgn 81 !; 0 ?; 66 :)
% 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_NB),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_NB),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_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f5,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(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,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(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X5)))),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(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/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).
tcf(c_57,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_NB),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_60,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f4]) ).
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,[],[f5]) ).
tcf(c_62,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_63,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,[],[f7]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ 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(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ 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,[],[f8]) ).
tcf(c_97,definition,
iPr_def_10 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_98,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_Aa),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_99,definition,
iPr_def_12 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_100,definition,
iPr_def_13 = c_Public_OshrK(v_Aa),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_101,definition,
iPr_def_14 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_102,definition,
iPr_def_15 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_103,definition,
iPr_def_16 = c_Message_Omsg_OCrypt(iPr_def_13,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_104,definition,
iPr_def_17 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_105,definition,
iPr_def_18 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_106,definition,
iPr_def_19 = c_Message_Omsg_OMPair(iPr_def_18,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_107,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_108,definition,
iPr_def_21 = c_Message_Omsg_OCrypt(iPr_def_17,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_109,definition,
iPr_def_22 = c_Message_Omsg_OMPair(iPr_def_16,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_110,definition,
iPr_def_23 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_111,definition,
iPr_def_24 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_112,definition,
iPr_def_25 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_113,definition,
iPr_def_26 = c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_114,definition,
iPr_def_27 = c_List_Oset(v_evs3,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_115,definition,
iPr_def_28 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_116,definition,
iPr_def_29 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_117,definition,
iPr_def_30 = c_Message_Omsg_OMPair(iPr_def_18,iPr_def_29),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_118,definition,
iPr_def_31 = c_Message_Omsg_OCrypt(iPr_def_17,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_119,definition,
iPr_def_32 = c_Message_Omsg_OMPair(iPr_def_28,iPr_def_31),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_120,definition,
iPr_def_33 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_32),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_121,definition,
iPr_def_34 = c_Message_Omsg_OMPair(iPr_def_18,iPr_def_33),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_122,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_123,definition,
iPr_def_36 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).
tcf(c_124,negated_conjecture,
c_in(iPr_def_26,iPr_def_27,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_60,c_114,c_105,c_106,c_107,c_104,c_108,c_101,c_102,c_100,c_103,c_109,c_99,c_110,c_98,c_111,c_97,c_112,c_113]) ).
tcf(c_125,negated_conjecture,
c_in(iPr_def_35,iPr_def_27,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_59,c_116,c_117,c_118,c_115,c_119,c_120,c_121,c_122]) ).
tcf(c_126,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_36),
inference(demodulation,[status(thm)],[c_58,c_123]) ).
tcf(c_127,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_476,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_109,c_63]) ).
tcf(c_477,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_110,c_63]) ).
tcf(c_478,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_111,c_63]) ).
tcf(c_479,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_112,c_63]) ).
tcf(c_482,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_119,c_63]) ).
tcf(c_483,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_120,c_63]) ).
tcf(c_484,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_121,c_63]) ).
tcf(c_570,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_114,c_61]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ 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_123]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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(v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_12)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_99,c_580]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_12,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(iPr_def_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_12)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_598,c_99,c_104]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_12,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(iPr_def_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_12)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_611,c_127]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_12,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_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_98,c_612]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X3,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_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_12,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_685,c_101]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_12,iPr_def_28))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_14))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_115,c_686]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X1,iPr_def_29)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_14))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_718,c_116]) ).
tcf(c_772,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(iPr_def_18,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_17,c_Message_Omsg_OMPair(X0,iPr_def_19)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_106,c_723]) ).
tcf(c_773,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(iPr_def_31,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_17,c_Message_Omsg_OMPair(X0,iPr_def_19)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_772,c_117,c_118]) ).
tcf(c_792,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_113,c_570]) ).
tcf(c_793,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_122,c_570]) ).
tcf(c_794,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_793,c_125]) ).
tcf(c_795,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_792,c_124]) ).
tcf(c_797,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_794,c_484]) ).
tcf(c_799,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_795,c_479]) ).
tcf(c_801,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_797,c_483]) ).
tcf(c_803,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_799,c_478]) ).
tcf(c_805,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_801,c_482]) ).
tcf(c_813,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_803,c_477]) ).
tcf(c_819,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_805,c_62]) ).
tcf(c_821,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_813,c_476]) ).
tcf(c_867,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(c_Message_Omsg_OCrypt(iPr_def_17,iPr_def_20),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_107,c_773]) ).
tcf(c_868,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_21,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_867,c_108]) ).
tcf(c_879,plain,
( ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(iPr_def_21,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_819,c_868]) ).
tcf(c_880,plain,
~ c_in(iPr_def_21,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_879,c_126]) ).
tcf(c_887,plain,
c_in(iPr_def_21,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_821,c_62]) ).
tcf(c_888,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_887,c_880]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV299-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.57 % Computer : n003.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Thu Sep 24 19:07:37 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.61 Running first-order theorem proving
% 0.15/0.61 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 1.91/1.48 % SZS status Started for theBenchmark.p
% 1.91/1.48 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.48
% 1.91/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.91/1.48
% 1.91/1.48 % ------ iProver source info
% 1.91/1.48
% 1.91/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 1.91/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.91/1.48 % git: non_committed_changes: false
% 1.91/1.48
% 1.91/1.48 % ------ Parsing...% successful
% 1.91/1.48
% 1.91/1.48
% 1.91/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.91/1.48
% 1.91/1.48 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.91/1.48
% 1.91/1.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.91/1.48
% 1.91/1.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.91/1.48 % ------ Proving...
% 1.91/1.48 % ------ Problem Properties
% 1.91/1.48
% 1.91/1.48 %
% 1.91/1.48 % clauses 35
% 1.91/1.48 % conjectures 4
% 1.91/1.48 % EPR 4
% 1.91/1.48 % Horn 35
% 1.91/1.48 % unary 31
% 1.91/1.48 % binary 3
% 1.91/1.48 % lits 41
% 1.91/1.48 % lits eq 27
% 1.91/1.49 % fd_pure 0
% 1.91/1.49 % fd_pseudo 0
% 1.91/1.49 % fd_cond 0
% 1.91/1.49 % fd_pseudo_cond 0
% 1.91/1.49 % AC symbols 0
% 1.91/1.49
% 1.91/1.49 % ------ Schedule dynamic 5 is on
% 1.91/1.49
% 1.91/1.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.91/1.49
% 1.91/1.49
% 1.91/1.49 % ------
% 1.91/1.49 % Current options:
% 1.91/1.49 % ------
% 1.91/1.49
% 1.91/1.49
% 1.91/1.49 %
% 1.91/1.49
% 1.91/1.49 % ------ Proving...
% 1.91/1.49 %
% 1.91/1.49
% 1.91/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.49
% 1.91/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.49
% 1.91/1.49
%------------------------------------------------------------------------------