%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV294-2 : 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 : n008.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 03:16:59 PM UTC 2026
% Result : Unsatisfiable 2.09s 1.28s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 40
% Syntax : Number of formulae : 89 ( 42 unt; 27 def)
% Number of atoms : 306 ( 46 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 122 ( 52 ~; 70 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 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 : 28 ( 28 usr; 14 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_18) ).
fof(f4,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f5,negated_conjecture,
( v_A = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f6,negated_conjecture,
( v_A = c_Message_Oagent_OSpy
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f7,negated_conjecture,
! [X0] :
( v_A = c_Message_Oagent_OSpy
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f8,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_0) ).
fof(f9,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f10,axiom,
! [X2,X0,X1] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f11,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f12,axiom,
! [X0,X1] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
tcf(c_62,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_63,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,negated_conjecture,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_67,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] :
( ( v_A = c_Message_Oagent_OSpy )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,plain,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f8]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_197,definition,
iPr_def_10 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_198,definition,
iPr_def_11 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_199,definition,
iPr_def_12 = c_Message_Omsg_OMPair(v_NA,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_200,definition,
iPr_def_13 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_201,definition,
iPr_def_14 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_202,definition,
iPr_def_15 = c_List_Oset(v_evsf,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_203,definition,
iPr_def_16 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_204,definition,
iPr_def_17 = c_insert(v_X,iPr_def_16,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_205,definition,
iPr_def_18 = c_Message_Oparts(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_206,definition,
iPr_def_19 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_207,definition,
iPr_def_20 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_208,definition,
iPr_def_21 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_209,definition,
iPr_def_22 = c_Message_Omsg_OMPair(v_NA,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_210,definition,
iPr_def_23 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_211,definition,
iPr_def_24 = c_Message_Omsg_OMPair(iPr_def_20,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_212,definition,
iPr_def_25 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_213,definition,
iPr_def_26 = c_Message_Omsg_OMPair(v_NA,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_214,definition,
iPr_def_27 = c_Event_Oevent_OSays(v_A,v_B,iPr_def_26),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_215,definition,
iPr_def_28 = c_Message_Oanalz(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_216,definition,
iPr_def_29 = c_Message_Osynth(iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_217,definition,
iPr_def_30 = c_Message_Oparts(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_218,definition,
iPr_def_31 = c_Message_Omsg_OMPair(v_x,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_219,definition,
iPr_def_32 = c_Message_Omsg_OCrypt(iPr_def_14,iPr_def_31),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_220,definition,
iPr_def_33 = c_Message_Omsg_OMPair(iPr_def_13,iPr_def_32),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_221,definition,
iPr_def_34 = c_Message_Omsg_OMPair(v_NA,iPr_def_33),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_222,definition,
iPr_def_35 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,iPr_def_34),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_223,definition,
iPr_def_36 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).
tcf(c_224,negated_conjecture,
! [X0: $i] :
( ( v_A = c_Message_Oagent_OSpy )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_13,c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X0,iPr_def_11))))),iPr_def_15,tc_Event_Oevent) ),
inference(demodulation,[status(thm)],[c_68,c_202,c_201,c_198,c_199,c_197,c_200]) ).
tcf(c_225,negated_conjecture,
( c_in(iPr_def_13,iPr_def_18,tc_Message_Omsg)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(demodulation,[status(thm)],[c_67,c_203,c_204,c_205]) ).
tcf(c_226,negated_conjecture,
( c_in(iPr_def_27,iPr_def_15,tc_Event_Oevent)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(demodulation,[status(thm)],[c_66,c_208,c_209,c_210,c_207,c_211,c_206,c_212,c_213,c_214]) ).
tcf(c_227,negated_conjecture,
c_in(v_X,iPr_def_29,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_65,c_215,c_216]) ).
tcf(c_228,negated_conjecture,
( c_in(iPr_def_35,iPr_def_15,tc_Event_Oevent)
| ~ c_in(iPr_def_27,iPr_def_15,tc_Event_Oevent)
| ~ c_in(iPr_def_13,iPr_def_30,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_64,c_218,c_219,c_220,c_221,c_222,c_217]) ).
tcf(c_229,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_36),
inference(demodulation,[status(thm)],[c_63,c_223]) ).
tcf(c_230,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_684,plain,
( c_in(iPr_def_35,iPr_def_15,tc_Event_Oevent)
| ( v_A = c_Message_Oagent_OSpy )
| ~ c_in(iPr_def_13,iPr_def_30,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_226,c_228]) ).
tcf(c_705,plain,
( ( v_A = c_Message_Oagent_OSpy )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_13,c_Message_Omsg_OCrypt(iPr_def_14,iPr_def_31)))),iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_218,c_224]) ).
tcf(c_706,plain,
( ( v_A = c_Message_Oagent_OSpy )
| ~ c_in(iPr_def_35,iPr_def_15,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_705,c_219,c_220,c_221,c_222]) ).
tcf(c_713,plain,
( ( v_A = c_Message_Oagent_OSpy )
| ~ c_in(iPr_def_13,iPr_def_30,tc_Message_Omsg) ),
inference(backward_subsumption_resolution,[status(thm)],[c_684,c_706]) ).
tcf(c_724,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_28,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_215,c_72]) ).
tcf(c_725,plain,
! [X0: $i] :
( c_in(X0,iPr_def_30,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_28,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_724,c_217]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),iPr_def_28,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_28,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_29,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_216,c_70]) ).
tcf(c_768,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_36)
| ~ 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_223]) ).
tcf(c_780,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_203,c_768]) ).
tcf(c_781,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_36)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_30,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_780,c_217]) ).
tcf(c_782,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_30,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_781,c_229]) ).
tcf(c_800,plain,
! [X0: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_16)),c_Message_Oparts(iPr_def_16),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_17),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_16)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_204,c_71]) ).
tcf(c_801,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_29,iPr_def_30,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_29,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_800,c_205,c_215,c_216,c_217]) ).
tcf(c_802,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_29,iPr_def_30,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_801,c_227]) ).
tcf(c_810,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_30,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_197,c_782]) ).
tcf(c_814,plain,
~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_30,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_810,c_230]) ).
tcf(c_823,plain,
! [X0: $i] :
( c_in(X0,iPr_def_30,tc_Message_Omsg)
| c_in(X0,iPr_def_29,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_802,c_74]) ).
tcf(c_834,plain,
( c_in(iPr_def_13,iPr_def_30,tc_Message_Omsg)
| c_in(iPr_def_13,iPr_def_29,tc_Message_Omsg)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(superposition,[status(thm)],[c_225,c_823]) ).
tcf(c_838,plain,
( ( v_A = c_Message_Oagent_OSpy )
| c_in(iPr_def_13,iPr_def_29,tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_834,c_713,c_834]) ).
tcf(c_839,plain,
( c_in(iPr_def_13,iPr_def_29,tc_Message_Omsg)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(renaming,[status(thm)],[c_838]) ).
tcf(c_918,plain,
( c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_28,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_12),iPr_def_28,tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_29,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_200,c_748]) ).
tcf(c_923,plain,
( c_in(iPr_def_13,iPr_def_28,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_28,tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_29,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_918,c_200]) ).
tcf(c_933,plain,
( c_in(iPr_def_13,iPr_def_28,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_30,tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_29,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_923,c_725]) ).
tcf(c_934,plain,
( c_in(iPr_def_13,iPr_def_28,tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_29,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_933,c_814]) ).
tcf(c_959,plain,
( c_in(iPr_def_13,iPr_def_28,tc_Message_Omsg)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(superposition,[status(thm)],[c_839,c_934]) ).
tcf(c_966,plain,
( c_in(iPr_def_13,iPr_def_30,tc_Message_Omsg)
| ( v_A = c_Message_Oagent_OSpy ) ),
inference(superposition,[status(thm)],[c_959,c_725]) ).
tcf(c_969,plain,
v_A = c_Message_Oagent_OSpy,
inference(global_subsumption_just,[status(thm)],[c_966,c_713,c_966]) ).
tcf(c_978,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_69,c_969]) ).
tcf(c_980,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_978,c_230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV294-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Thu Sep 24 19:05:09 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.41 % Detected problem language: tptp
% 0.03/0.43 % Proving...
% 2.09/1.28 % SZS status Started for theBenchmark.p
% 2.09/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/1.28
% 2.09/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.09/1.28
% 2.09/1.28 % ------ iProver source info
% 2.09/1.28
% 2.09/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.09/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.09/1.28 % git: non_committed_changes: false
% 2.09/1.28
% 2.09/1.28 % ------ Parsing...% successful
% 2.09/1.28
% 2.09/1.28
% 2.09/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.09/1.28
% 2.09/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.09/1.28
% 2.09/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.09/1.28
% 2.09/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.09/1.28 % ------ Proving...
% 2.09/1.28 % ------ Problem Properties
% 2.09/1.28
% 2.09/1.28 %
% 2.09/1.28 % clauses 40
% 2.09/1.28 % conjectures 7
% 2.09/1.28 % EPR 7
% 2.09/1.28 % Horn 36
% 2.09/1.28 % unary 31
% 2.09/1.28 % binary 4
% 2.09/1.28 % lits 54
% 2.09/1.28 % lits eq 30
% 2.09/1.28 % fd_pure 0
% 2.09/1.28 % fd_pseudo 0
% 2.09/1.28 % fd_cond 0
% 2.09/1.28 % fd_pseudo_cond 0
% 2.09/1.28 % AC symbols 0
% 2.09/1.28
% 2.09/1.28 % ------ Schedule dynamic 5 is on
% 2.09/1.28
% 2.09/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.09/1.28
% 2.09/1.28
% 2.09/1.28 % ------
% 2.09/1.28 % Current options:
% 2.09/1.28 % ------
% 2.09/1.28
% 2.09/1.28
% 2.09/1.28 %
% 2.09/1.28
% 2.09/1.28 % ------ Proving...
% 2.09/1.28 %
% 2.09/1.28
% 2.09/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/1.28
% 2.09/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.09/1.28
% 2.09/1.28
%------------------------------------------------------------------------------