%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV337-2 : 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 03:17:21 PM UTC 2026
% Result : Unsatisfiable 1.87s 1.28s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 85 ( 36 unt; 15 def)
% Number of atoms : 321 ( 15 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 149 ( 75 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 16 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn 108 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f6,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f7,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(f8,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__Spy__analz__bad_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),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(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).
fof(f10,axiom,
! [X2,X0,X1] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
tcf(c_59,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f4]) ).
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,[],[f5]) ).
tcf(c_64,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,[],[f6]) ).
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,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_Yahalom_Oyahalom,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,[],[f10]) ).
tcf(c_115,definition,
iPr_def_10 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_116,definition,
iPr_def_11 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_117,definition,
iPr_def_12 = c_List_Oset(v_evs4,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_118,definition,
iPr_def_13 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_119,definition,
iPr_def_14 = c_Message_Oanalz(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_120,definition,
iPr_def_15 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_121,definition,
iPr_def_16 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_122,definition,
iPr_def_17 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_123,definition,
iPr_def_18 = c_Message_Omsg_OMPair(iPr_def_17,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_124,definition,
iPr_def_19 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_125,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_16,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_126,definition,
iPr_def_21 = c_Message_Omsg_OCrypt(iPr_def_15,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_127,definition,
iPr_def_22 = c_Message_Omsg_OMPair(iPr_def_21,v_X),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_128,definition,
iPr_def_23 = c_Event_Oevent_OGets(v_A,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_129,definition,
iPr_def_24 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),iPr_def_11)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),iPr_def_10)))),iPr_def_12,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_62,c_117,c_116,c_115]) ).
tcf(c_131,negated_conjecture,
~ c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_61,c_118,c_119]) ).
tcf(c_132,negated_conjecture,
c_in(iPr_def_23,iPr_def_12,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_60,c_122,c_123,c_124,c_121,c_125,c_120,c_126,c_127,c_128]) ).
tcf(c_133,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,iPr_def_24),
inference(demodulation,[status(thm)],[c_59,c_129]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_17,iPr_def_11)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),iPr_def_10)))),iPr_def_12,tc_Event_Oevent),
inference(superposition,[status(thm)],[c_122,c_130]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),iPr_def_19)),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),iPr_def_10)))),iPr_def_12,tc_Event_Oevent),
inference(light_normalisation,[status(thm)],[c_491,c_123,c_124]) ).
tcf(c_537,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_13),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_119,c_65]) ).
tcf(c_549,plain,
! [X0: $i] :
( c_in(iPr_def_11,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_123,c_63]) ).
tcf(c_550,plain,
! [X0: $i] :
( c_in(iPr_def_18,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_19,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_124,c_63]) ).
tcf(c_551,plain,
! [X0: $i] :
( c_in(iPr_def_19,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_20,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_125,c_63]) ).
tcf(c_574,plain,
( c_in(iPr_def_11,c_Message_Oanalz(iPr_def_13),tc_Message_Omsg)
| ~ c_in(iPr_def_18,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_119,c_549]) ).
tcf(c_575,plain,
( c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg)
| ~ c_in(iPr_def_18,iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_574,c_119]) ).
tcf(c_576,plain,
~ c_in(iPr_def_18,iPr_def_14,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_575,c_131]) ).
tcf(c_607,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_127,c_64]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_Yahalom_Oyahalom,iPr_def_24)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_68,c_129]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,iPr_def_24)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_12,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_117,c_624]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i] :
( c_in(X1,iPr_def_14,tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,iPr_def_24)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_12,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_635,c_118,c_119]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i] :
( c_in(X1,iPr_def_14,tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_12,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_636,c_133]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_118,c_66]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i] :
( c_in(X1,iPr_def_14,tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_652,c_118,c_119]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_Yahalom_Oyahalom,iPr_def_24)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_67,c_129]) ).
tcf(c_685,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,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),iPr_def_12,tc_Event_Oevent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,iPr_def_24)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_117,c_662]) ).
tcf(c_686,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,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),iPr_def_12,tc_Event_Oevent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,iPr_def_24)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_685,c_118]) ).
tcf(c_687,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,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),iPr_def_12,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_686,c_133]) ).
tcf(c_762,plain,
( c_in(iPr_def_18,c_Message_Oanalz(iPr_def_13),tc_Message_Omsg)
| ~ c_in(iPr_def_19,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_119,c_550]) ).
tcf(c_763,plain,
( c_in(iPr_def_18,iPr_def_14,tc_Message_Omsg)
| ~ c_in(iPr_def_19,iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_762,c_119]) ).
tcf(c_764,plain,
~ c_in(iPr_def_19,iPr_def_14,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_763,c_576]) ).
tcf(c_769,plain,
( c_in(iPr_def_19,c_Message_Oanalz(iPr_def_13),tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_119,c_551]) ).
tcf(c_770,plain,
( c_in(iPr_def_19,iPr_def_14,tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_769,c_119]) ).
tcf(c_771,plain,
~ c_in(iPr_def_20,iPr_def_14,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_770,c_764]) ).
tcf(c_776,plain,
( c_in(iPr_def_22,iPr_def_14,tc_Message_Omsg)
| ~ c_in(iPr_def_23,iPr_def_12,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_128,c_637]) ).
tcf(c_777,plain,
c_in(iPr_def_22,iPr_def_14,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_776,c_132]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),iPr_def_18))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),iPr_def_12,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(iPr_def_17,iPr_def_11)))),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_123,c_687]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),iPr_def_18))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),iPr_def_12,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),iPr_def_18))),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_789,c_123]) ).
tcf(c_1001,plain,
( c_in(iPr_def_21,c_Message_Oanalz(iPr_def_13),tc_Message_Omsg)
| ~ c_in(iPr_def_22,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_119,c_607]) ).
tcf(c_1002,plain,
( c_in(iPr_def_21,iPr_def_14,tc_Message_Omsg)
| ~ c_in(iPr_def_22,iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1001,c_119]) ).
tcf(c_1003,plain,
c_in(iPr_def_21,iPr_def_14,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_1002,c_777]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(iPr_def_10,iPr_def_18))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),iPr_def_10)))),iPr_def_12,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),iPr_def_18))),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_115,c_812]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),iPr_def_19)),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),iPr_def_10)))),iPr_def_12,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),iPr_def_19)),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1118,c_115,c_124]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),iPr_def_19)),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1119,c_492]) ).
tcf(c_1140,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(iPr_def_16,iPr_def_19)),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_121,c_1120]) ).
tcf(c_1141,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),iPr_def_20),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1140,c_125]) ).
tcf(c_1267,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_15,iPr_def_20),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_120,c_1141]) ).
tcf(c_1268,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(iPr_def_21,c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_1267,c_126]) ).
tcf(c_1280,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(iPr_def_21,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_537,c_1268]) ).
tcf(c_1281,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(forward_subsumption_resolution,[status(thm)],[c_1280,c_1003]) ).
tcf(c_1295,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_15,X0),iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_120,c_653]) ).
tcf(c_1312,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(iPr_def_15,X0),iPr_def_14,tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_1295,c_1281,c_1295]) ).
tcf(c_1319,plain,
( c_in(iPr_def_20,iPr_def_14,tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_126,c_1312]) ).
tcf(c_1320,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1319,c_771,c_1003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV337-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n011.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 19:16:43 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.87/1.28 % SZS status Started for theBenchmark.p
% 1.87/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.87/1.28
% 1.87/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.87/1.28
% 1.87/1.28 % ------ iProver source info
% 1.87/1.28
% 1.87/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.87/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.87/1.28 % git: non_committed_changes: false
% 1.87/1.28
% 1.87/1.28 % ------ Parsing...% successful
% 1.87/1.28
% 1.87/1.28
% 1.87/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.87/1.28
% 1.87/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.87/1.28
% 1.87/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.87/1.28
% 1.87/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.87/1.28 % ------ Proving...
% 1.87/1.28 % ------ Problem Properties
% 1.87/1.28
% 1.87/1.28 %
% 1.87/1.28 % clauses 25
% 1.87/1.28 % conjectures 4
% 1.87/1.28 % EPR 3
% 1.87/1.28 % Horn 24
% 1.87/1.28 % unary 19
% 1.87/1.28 % binary 3
% 1.87/1.28 % lits 35
% 1.87/1.28 % lits eq 15
% 1.87/1.28 % fd_pure 0
% 1.87/1.28 % fd_pseudo 0
% 1.87/1.28 % fd_cond 0
% 1.87/1.28 % fd_pseudo_cond 0
% 1.87/1.28 % AC symbols 0
% 1.87/1.28
% 1.87/1.28 % ------ Schedule dynamic 5 is on
% 1.87/1.28
% 1.87/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.87/1.28
% 1.87/1.28
% 1.87/1.28 % ------
% 1.87/1.28 % Current options:
% 1.87/1.28 % ------
% 1.87/1.28
% 1.87/1.28
% 1.87/1.28 %
% 1.87/1.28
% 1.87/1.28 % ------ Proving...
% 1.87/1.28 %
% 1.87/1.28
% 1.87/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.87/1.28
% 1.87/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.87/1.29
% 1.87/1.29
%------------------------------------------------------------------------------