%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV308-2 : 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 : n015.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 03:17:13 PM UTC 2026
% Result : Unsatisfiable 3.11s 1.44s
% Output : CNFRefutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 42
% Syntax : Number of formulae : 101 ( 49 unt; 26 def)
% Number of atoms : 349 ( 26 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 157 ( 73 ~; 84 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 27 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 17 con; 0-3 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?; 64 :)
% 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/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f2,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f3,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f4,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(f5,axiom,
! [X2,X0,X1] :
( c_in(X0,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_1) ).
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,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f8,axiom,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
fof(f9,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f11,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f12,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f13,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f14,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f15,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f16,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
tcf(c_65,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_66,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,[],[f2]) ).
tcf(c_67,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,[],[f3]) ).
tcf(c_68,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,[],[f4]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,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,[],[f5]) ).
tcf(c_70,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_71,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_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,[],[f9]) ).
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,[],[f10]) ).
tcf(c_75,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f11]) ).
tcf(c_76,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_77,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f13]) ).
tcf(c_78,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f14]) ).
tcf(c_79,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_154,definition,
iPr_def_10 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_155,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_A_H),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_156,definition,
iPr_def_12 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_157,definition,
iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_158,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_159,definition,
iPr_def_15 = c_Message_Omsg_OMPair(v_NA_H,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_160,definition,
iPr_def_16 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_161,definition,
iPr_def_17 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_162,definition,
iPr_def_18 = c_Message_Oparts(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_163,definition,
iPr_def_19 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_164,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_165,definition,
iPr_def_21 = c_Message_Omsg_OMPair(v_NA,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_166,definition,
iPr_def_22 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_167,definition,
iPr_def_23 = c_insert(v_X,iPr_def_17,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_168,definition,
iPr_def_24 = c_Message_Oparts(iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_169,definition,
iPr_def_25 = c_Message_Omsg_ONonce(v_NAa),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_170,definition,
iPr_def_26 = c_Public_OshrK(v_Ba),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_171,definition,
iPr_def_27 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_172,definition,
iPr_def_28 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_173,definition,
iPr_def_29 = c_Message_Omsg_OMPair(iPr_def_27,iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_174,definition,
iPr_def_30 = c_Message_Omsg_OCrypt(iPr_def_26,iPr_def_29),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_175,definition,
iPr_def_31 = c_Message_Omsg_OMPair(v_X,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_176,definition,
iPr_def_32 = c_Message_Omsg_OMPair(iPr_def_25,iPr_def_31),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_177,definition,
iPr_def_33 = c_Event_Oevent_OGets(v_Ba,iPr_def_32),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_178,definition,
iPr_def_34 = c_List_Oset(v_evs4,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_179,definition,
iPr_def_35 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_180,negated_conjecture,
( ~ c_in(iPr_def_22,iPr_def_18,tc_Message_Omsg)
| ~ c_in(iPr_def_16,iPr_def_18,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_80,c_163,c_164,c_165,c_166,c_161,c_162,c_156,c_155,c_157,c_158,c_159,c_154,c_160]) ).
tcf(c_181,negated_conjecture,
c_in(iPr_def_16,iPr_def_24,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_79,c_167,c_168]) ).
tcf(c_182,negated_conjecture,
c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_183,negated_conjecture,
c_in(iPr_def_33,iPr_def_34,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_77,c_178,c_172,c_171,c_173,c_170,c_174,c_175,c_169,c_176,c_177]) ).
tcf(c_184,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_35),
inference(demodulation,[status(thm)],[c_76,c_179]) ).
tcf(c_185,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_679,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_176,c_68]) ).
tcf(c_746,plain,
! [X0: $i] :
( c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_31,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_175,c_69]) ).
tcf(c_782,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_34,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_178,c_65]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_34,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_782,c_161]) ).
tcf(c_875,plain,
! [X0: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),c_Message_Oparts(iPr_def_17),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_23),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_167,c_67]) ).
tcf(c_876,plain,
! [X0: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),iPr_def_18,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_24,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_875,c_162,c_168]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_35)
| ~ 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_179]) ).
tcf(c_893,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_35)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(iPr_def_17),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_161,c_881]) ).
tcf(c_894,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_35)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_18,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_893,c_162]) ).
tcf(c_895,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_18,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_894,c_184]) ).
tcf(c_907,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_35)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_72,c_179]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs4),X0,X1),iPr_def_34,tc_Event_Oevent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_35)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_178,c_907]) ).
tcf(c_922,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs4),X0,X1),iPr_def_34,tc_Event_Oevent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_35)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_34,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_917,c_178]) ).
tcf(c_923,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs4),X0,X1),iPr_def_34,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_34,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_922,c_184]) ).
tcf(c_933,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_18,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_154,c_895]) ).
tcf(c_934,plain,
~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_18,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_933,c_185]) ).
tcf(c_951,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_34,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_923,c_783]) ).
tcf(c_959,plain,
( c_in(iPr_def_32,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| ~ c_in(iPr_def_33,iPr_def_34,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_177,c_951]) ).
tcf(c_960,plain,
c_in(iPr_def_32,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_959,c_183]) ).
tcf(c_963,plain,
c_in(iPr_def_31,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_960,c_679]) ).
tcf(c_968,plain,
c_in(v_X,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_963,c_746]) ).
tcf(c_981,plain,
! [X0: $i] :
( c_in(X0,iPr_def_18,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_24,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_876,c_74]) ).
tcf(c_1138,plain,
! [X0: $i] :
( c_in(X0,iPr_def_18,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_24,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_71,c_981]) ).
tcf(c_1139,plain,
! [X0: $i] :
( c_in(X0,iPr_def_18,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_17)),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_24,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1138,c_968]) ).
tcf(c_1153,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_18,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_24,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1139,c_66]) ).
tcf(c_1181,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_18,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(iPr_def_17),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_24,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1153,c_70]) ).
tcf(c_1186,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_18,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_24,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1181,c_162]) ).
tcf(c_1200,plain,
( c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_15),iPr_def_18,tc_Message_Omsg)
| ~ c_in(iPr_def_16,iPr_def_24,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_160,c_1186]) ).
tcf(c_1201,plain,
( c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_21),iPr_def_18,tc_Message_Omsg)
| ~ c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_166,c_1186]) ).
tcf(c_1204,plain,
( c_in(iPr_def_22,iPr_def_18,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| ~ c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1201,c_166]) ).
tcf(c_1205,plain,
( c_in(iPr_def_22,iPr_def_18,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1204,c_182]) ).
tcf(c_1208,plain,
( c_in(iPr_def_16,iPr_def_18,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
| ~ c_in(iPr_def_16,iPr_def_24,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1200,c_160]) ).
tcf(c_1209,plain,
( c_in(iPr_def_16,iPr_def_18,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1208,c_181]) ).
tcf(c_1212,plain,
c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_1205,c_180,c_1209,c_1205]) ).
tcf(c_1214,plain,
c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oparts(iPr_def_17),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1212,c_70]) ).
tcf(c_1215,plain,
c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_18,tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_1214,c_162]) ).
tcf(c_1216,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1215,c_934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV308-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Thu Sep 24 19:11:27 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.46
% 0.13/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.46
% 0.13/0.46 % Detected problem language: tptp
% 0.22/0.48 % Proving...
% 3.11/1.44 % SZS status Started for theBenchmark.p
% 3.11/1.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.11/1.44
% 3.11/1.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.11/1.44
% 3.11/1.44 % ------ iProver source info
% 3.11/1.44
% 3.11/1.44 % git: date: 2026-07-19 20:42:38 +0200
% 3.11/1.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.11/1.44 % git: non_committed_changes: false
% 3.11/1.44
% 3.11/1.44 % ------ Parsing...% successful
% 3.11/1.44
% 3.11/1.44
% 3.11/1.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.11/1.44
% 3.11/1.44 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.11/1.44
% 3.11/1.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.11/1.44
% 3.11/1.44 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.11/1.44 % ------ Proving...
% 3.11/1.44 % ------ Problem Properties
% 3.11/1.44
% 3.11/1.44 %
% 3.11/1.44 % clauses 42
% 3.11/1.44 % conjectures 6
% 3.11/1.44 % EPR 6
% 3.11/1.44 % Horn 40
% 3.11/1.44 % unary 31
% 3.11/1.44 % binary 6
% 3.11/1.44 % lits 58
% 3.11/1.44 % lits eq 26
% 3.11/1.44 % fd_pure 0
% 3.11/1.44 % fd_pseudo 0
% 3.11/1.44 % fd_cond 0
% 3.11/1.44 % fd_pseudo_cond 0
% 3.11/1.44 % AC symbols 0
% 3.11/1.44
% 3.11/1.44 % ------ Schedule dynamic 5 is on
% 3.11/1.44
% 3.11/1.44 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.11/1.44
% 3.11/1.44
% 3.11/1.44 % ------
% 3.11/1.44 % Current options:
% 3.11/1.44 % ------
% 3.11/1.44
% 3.11/1.44
% 3.11/1.44 %
% 3.11/1.44
% 3.11/1.44 % ------ Proving...
% 3.11/1.44 %
% 3.11/1.44
% 3.11/1.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.11/1.44
% 3.11/1.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.11/1.44
% 3.11/1.44
%------------------------------------------------------------------------------