%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV288-2 : 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 : n011.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 03:16:57 PM UTC 2026
% Result : Unsatisfiable 1.86s 1.28s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 62 ( 37 unt; 18 def)
% Number of atoms : 250 ( 18 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 100 ( 49 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 21 ( 19 usr; 19 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,negated_conjecture,
! [X0] : ~ 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_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f7,axiom,
! [X2,X0,X1] :
( c_in(X1,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(v_sko__u7f(X1,X2,X4,X3,X0),c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),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(X2)))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_ONA__Crypt__imp__Server__msg_0) ).
tcf(c_58,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_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] : ~ 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_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,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,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,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,[],[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,X3: $i,X4: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_sko__u7f(X0,X1,X4,X2,X3),c_Message_Omsg_OKey(X4)))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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(X2,c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),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(X1)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_104,definition,
iPr_def_10 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_105,definition,
iPr_def_11 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_106,definition,
iPr_def_12 = c_Message_Omsg_OMPair(v_NA,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_107,definition,
iPr_def_13 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_108,definition,
iPr_def_14 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_109,definition,
iPr_def_15 = c_List_Oset(v_evs,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_110,definition,
iPr_def_16 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_111,definition,
iPr_def_17 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_112,definition,
iPr_def_18 = c_Event_Oevent_OSays(v_B_H,v_A,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_113,definition,
iPr_def_19 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_114,definition,
iPr_def_20 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_115,definition,
iPr_def_21 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_116,definition,
iPr_def_22 = c_Message_Omsg_OMPair(v_NA,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_117,definition,
iPr_def_23 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_118,definition,
iPr_def_24 = c_Message_Omsg_OMPair(iPr_def_20,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_119,definition,
iPr_def_25 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_120,definition,
iPr_def_26 = c_Message_Omsg_OMPair(v_NA,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_121,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_122,negated_conjecture,
! [X0: $i] : ~ 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_62,c_109,c_108,c_105,c_106,c_104,c_107]) ).
tcf(c_123,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,iPr_def_16),
inference(demodulation,[status(thm)],[c_61,c_110]) ).
tcf(c_124,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_125,negated_conjecture,
c_in(iPr_def_18,iPr_def_15,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_59,c_111,c_112]) ).
tcf(c_126,negated_conjecture,
c_in(iPr_def_27,iPr_def_15,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_58,c_115,c_116,c_117,c_114,c_118,c_113,c_119,c_120,c_121]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_109,c_63]) ).
tcf(c_462,plain,
! [X0: $i] :
( c_in(iPr_def_13,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_111,c_64]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_sko__u7f(X0,X1,X4,X2,X3),c_Message_Omsg_OKey(X4)))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_16)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),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(X1)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_66,c_110]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_sko__u7f(X0,X1,X3,X2,v_evs),c_Message_Omsg_OKey(X3)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_16)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),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(X1)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_109,c_489]) ).
tcf(c_516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_sko__u7f(X0,X1,X3,X2,v_evs),c_Message_Omsg_OKey(X3)))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_16)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),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(X1)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_515,c_109]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_sko__u7f(X0,X1,X3,X2,v_evs),c_Message_Omsg_OKey(X3)))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),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(X1)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_516,c_123]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,X2,X1,v_evs),c_Message_Omsg_OKey(X2)))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_113,c_517]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,X2,X1,v_evs),c_Message_Omsg_OKey(X2)))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_592,c_104]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,X2,X1,v_evs),c_Message_Omsg_OKey(X2)))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_611,c_124]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,iPr_def_11)),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,v_K,X1,v_evs),iPr_def_11))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_105,c_612]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,iPr_def_11)),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,v_K,X1,v_evs),iPr_def_11))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,iPr_def_11)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_632,c_105]) ).
tcf(c_774,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_12),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,v_K,v_NA,v_evs),iPr_def_11))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(v_NA,iPr_def_11)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_106,c_633]) ).
tcf(c_777,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_13,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,v_K,v_NA,v_evs),iPr_def_11))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(iPr_def_13,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_774,c_106,c_107]) ).
tcf(c_1038,plain,
( c_in(iPr_def_17,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(iPr_def_18,iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_112,c_447]) ).
tcf(c_1041,plain,
c_in(iPr_def_17,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_1038,c_125]) ).
tcf(c_1057,plain,
c_in(iPr_def_17,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1041,c_65]) ).
tcf(c_1059,plain,
c_in(iPr_def_13,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1057,c_462]) ).
tcf(c_1213,plain,
! [X0: $i] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_13,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_sko__u7f(v_A,X0,v_K,v_NA,v_evs),iPr_def_11))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(v_A,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OAgent(X0)))))))),iPr_def_15,tc_Event_Oevent) ),
inference(global_subsumption_just,[status(thm)],[c_777,c_777,c_1059]) ).
tcf(c_1223,plain,
( 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(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u7f(v_A,v_B,v_K,v_NA,v_evs),iPr_def_11))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,c_Message_Omsg_OMPair(iPr_def_20,c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_19,iPr_def_20))))))),iPr_def_15,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_114,c_1213]) ).
tcf(c_1224,plain,
( 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(v_sko__u7f(v_A,v_B,v_K,v_NA,v_evs),iPr_def_11))))),iPr_def_15,tc_Event_Oevent)
| ~ c_in(iPr_def_27,iPr_def_15,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_1223,c_108,c_115,c_116,c_117,c_118,c_119,c_120,c_121]) ).
tcf(c_1225,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1224,c_122,c_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV288-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 19:02:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.86/1.28 % SZS status Started for theBenchmark.p
% 1.86/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.28
% 1.86/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.86/1.28
% 1.86/1.28 % ------ iProver source info
% 1.86/1.28
% 1.86/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.86/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.86/1.28 % git: non_committed_changes: false
% 1.86/1.28
% 1.86/1.28 % ------ Parsing...% successful
% 1.86/1.28
% 1.86/1.28
% 1.86/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.86/1.28
% 1.86/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.86/1.28
% 1.86/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.86/1.28
% 1.86/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.86/1.28 % ------ Proving...
% 1.86/1.28 % ------ Problem Properties
% 1.86/1.28
% 1.86/1.28 %
% 1.86/1.28 % clauses 27
% 1.86/1.28 % conjectures 5
% 1.86/1.28 % EPR 4
% 1.86/1.28 % Horn 26
% 1.86/1.28 % unary 23
% 1.86/1.28 % binary 3
% 1.86/1.28 % lits 34
% 1.86/1.28 % lits eq 18
% 1.86/1.28 % fd_pure 0
% 1.86/1.28 % fd_pseudo 0
% 1.86/1.28 % fd_cond 0
% 1.86/1.28 % fd_pseudo_cond 0
% 1.86/1.28 % AC symbols 0
% 1.86/1.28
% 1.86/1.28 % ------ Schedule dynamic 5 is on
% 1.86/1.28
% 1.86/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/1.28
% 1.86/1.28
% 1.86/1.28 % ------
% 1.86/1.28 % Current options:
% 1.86/1.28 % ------
% 1.86/1.28
% 1.86/1.28
% 1.86/1.28 %
% 1.86/1.28
% 1.86/1.28 % ------ Proving...
% 1.86/1.28 %
% 1.86/1.28
% 1.86/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.28
% 1.86/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/1.28
% 1.86/1.28
%------------------------------------------------------------------------------