%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV345-2 : 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 : n002.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 03:17:23 PM UTC 2026
% Result : Unsatisfiable 2.03s 1.27s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 30
% Syntax : Number of formulae : 66 ( 41 unt; 25 def)
% Number of atoms : 269 ( 56 equ)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 111 ( 58 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 28 ( 26 usr; 26 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 149 ( 0 sgn 149 !; 0 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X10 = X5
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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)))),X6)),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/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_3) ).
fof(f2,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X5 = X10
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(reorient_equations,[],[f1]) ).
fof(f3,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),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_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
v_nb != c_Message_Omsg_ONonce(v_NB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f7,plain,
c_Message_Omsg_ONonce(v_NB) != v_nb,
inference(reorient_equations,[],[f6]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ( X4 = X10 )
| ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),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_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f4]) ).
tcf(c_57,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f5]) ).
tcf(c_58,negated_conjecture,
c_Message_Omsg_ONonce(v_NB) != v_nb,
inference(cnf_transformation,[],[f7]) ).
tcf(c_93,definition,
iPr_def_10 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_94,definition,
iPr_def_11 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_95,definition,
iPr_def_12 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_96,definition,
iPr_def_13 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_97,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_na,v_nb),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_98,definition,
iPr_def_15 = c_Message_Omsg_OMPair(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_99,definition,
iPr_def_16 = c_Message_Omsg_OMPair(iPr_def_12,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_100,definition,
iPr_def_17 = c_Message_Omsg_OCrypt(iPr_def_11,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_101,definition,
iPr_def_18 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_102,definition,
iPr_def_19 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_103,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_104,definition,
iPr_def_21 = c_Message_Omsg_OCrypt(iPr_def_18,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_105,definition,
iPr_def_22 = c_Message_Omsg_OMPair(iPr_def_17,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_106,definition,
iPr_def_23 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_107,definition,
iPr_def_24 = c_List_Oset(v_evso,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_108,definition,
iPr_def_25 = c_Public_OshrK(v_Aa),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_109,definition,
iPr_def_26 = c_Message_Omsg_OAgent(v_Ba),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_110,definition,
iPr_def_27 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_111,definition,
iPr_def_28 = c_Message_Omsg_OMPair(iPr_def_27,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_112,definition,
iPr_def_29 = c_Message_Omsg_OMPair(iPr_def_13,iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_113,definition,
iPr_def_30 = c_Message_Omsg_OMPair(iPr_def_26,iPr_def_29),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_114,definition,
iPr_def_31 = c_Message_Omsg_OCrypt(iPr_def_25,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_115,definition,
iPr_def_32 = c_Message_Omsg_OMPair(iPr_def_31,v_X),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_116,definition,
iPr_def_33 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,iPr_def_32),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_117,definition,
iPr_def_34 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_118,negated_conjecture,
iPr_def_10 != v_nb,
inference(demodulation,[status(thm)],[c_58,c_93]) ).
tcf(c_119,negated_conjecture,
c_in(iPr_def_23,iPr_def_24,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_57,c_107,c_102,c_103,c_101,c_104,c_97,c_96,c_98,c_95,c_99,c_94,c_100,c_105,c_106]) ).
tcf(c_120,negated_conjecture,
c_in(iPr_def_33,iPr_def_24,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_56,c_110,c_111,c_112,c_109,c_113,c_108,c_114,c_115,c_116]) ).
tcf(c_121,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,iPr_def_34),
inference(demodulation,[status(thm)],[c_55,c_117]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ( X4 = X10 )
| ~ c_in(X6,c_Yahalom_Oyahalom,iPr_def_34)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_54,c_117]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ( X4 = X9 )
| ~ c_in(v_evso,c_Yahalom_Oyahalom,iPr_def_34)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),iPr_def_24,tc_Event_Oevent)
| ~ 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)))),X5)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_107,c_408]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ( X4 = X9 )
| ~ c_in(v_evso,c_Yahalom_Oyahalom,iPr_def_34)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),iPr_def_24,tc_Event_Oevent)
| ~ 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)))),X5)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_429,c_107]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ( X4 = X9 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),iPr_def_24,tc_Event_Oevent)
| ~ 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)))),X5)),iPr_def_24,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_430,c_121]) ).
tcf(c_522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( X4 = v_nb )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),iPr_def_14))),X8)),iPr_def_24,tc_Event_Oevent)
| ~ 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)))),X5)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_97,c_431]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X3 = v_nb )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),iPr_def_14))),X7)),iPr_def_24,tc_Event_Oevent)
| ~ 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_13,c_Message_Omsg_OMPair(X2,X3)))),X4)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_96,c_522]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X3 = v_nb )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),iPr_def_15)),X7)),iPr_def_24,tc_Event_Oevent)
| ~ 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_13,c_Message_Omsg_OMPair(X2,X3)))),X4)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_601,c_96,c_98]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),iPr_def_15)),X5)),iPr_def_24,tc_Event_Oevent)
| ~ 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_13,iPr_def_28))),X2)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_111,c_635]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),iPr_def_15)),X5)),iPr_def_24,tc_Event_Oevent)
| ~ 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_29)),X2)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_699,c_112]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(iPr_def_12,iPr_def_15)),X4)),iPr_def_24,tc_Event_Oevent)
| ~ 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_29)),X2)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_95,c_712]) ).
tcf(c_793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),iPr_def_16),X4)),iPr_def_24,tc_Event_Oevent)
| ~ 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_29)),X2)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_788,c_99]) ).
tcf(c_1992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),iPr_def_16),X3)),iPr_def_24,tc_Event_Oevent)
| ~ 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(iPr_def_26,iPr_def_29)),X1)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_109,c_793]) ).
tcf(c_2001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),iPr_def_16),X3)),iPr_def_24,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),iPr_def_30),X1)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_1992,c_113]) ).
tcf(c_2053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_11,iPr_def_16),X2)),iPr_def_24,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),iPr_def_30),X1)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_94,c_2001]) ).
tcf(c_2058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(iPr_def_17,X2)),iPr_def_24,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),iPr_def_30),X1)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_2053,c_100]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(iPr_def_17,X1)),iPr_def_24,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_25,iPr_def_30),X0)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_108,c_2058]) ).
tcf(c_2083,plain,
! [X0: $i,X1: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(iPr_def_17,X1)),iPr_def_24,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(iPr_def_31,X0)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_2074,c_114]) ).
tcf(c_2096,plain,
! [X0: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,iPr_def_22),iPr_def_24,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(iPr_def_31,X0)),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_105,c_2083]) ).
tcf(c_2097,plain,
! [X0: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(iPr_def_23,iPr_def_24,tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(iPr_def_31,X0)),iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_2096,c_106]) ).
tcf(c_2098,plain,
! [X0: $i] :
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(iPr_def_31,X0)),iPr_def_24,tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2097,c_119]) ).
tcf(c_2109,plain,
( ( v_nb = iPr_def_10 )
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,iPr_def_32),iPr_def_24,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_115,c_2098]) ).
tcf(c_2110,plain,
( ( v_nb = iPr_def_10 )
| ~ c_in(iPr_def_33,iPr_def_24,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_2109,c_116]) ).
tcf(c_2111,plain,
v_nb = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_2110,c_120]) ).
tcf(c_2115,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_118,c_2111]) ).
tcf(c_2116,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV345-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 19:21:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.03/1.27 % SZS status Started for theBenchmark.p
% 2.03/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.27
% 2.03/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.03/1.27
% 2.03/1.27 % ------ iProver source info
% 2.03/1.27
% 2.03/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.03/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.03/1.27 % git: non_committed_changes: false
% 2.03/1.27
% 2.03/1.27 % ------ Parsing...% successful
% 2.03/1.27
% 2.03/1.27
% 2.03/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.03/1.27
% 2.03/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.03/1.27
% 2.03/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.03/1.27
% 2.03/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.03/1.27 % ------ Proving...
% 2.03/1.27 % ------ Problem Properties
% 2.03/1.27
% 2.03/1.27 %
% 2.03/1.27 % clauses 30
% 2.03/1.27 % conjectures 4
% 2.03/1.27 % EPR 4
% 2.03/1.27 % Horn 30
% 2.03/1.27 % unary 29
% 2.03/1.27 % binary 0
% 2.03/1.27 % lits 33
% 2.03/1.27 % lits eq 27
% 2.03/1.27 % fd_pure 0
% 2.03/1.27 % fd_pseudo 0
% 2.03/1.27 % fd_cond 0
% 2.03/1.27 % fd_pseudo_cond 1
% 2.03/1.27 % AC symbols 0
% 2.03/1.27
% 2.03/1.27 % ------ Schedule dynamic 5 is on
% 2.03/1.27
% 2.03/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.03/1.27
% 2.03/1.27
% 2.03/1.27 % ------
% 2.03/1.27 % Current options:
% 2.03/1.27 % ------
% 2.03/1.27
% 2.03/1.27
% 2.03/1.27 %
% 2.03/1.27
% 2.03/1.27 % ------ Proving...
% 2.03/1.27 %
% 2.03/1.27
% 2.03/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.27
% 2.03/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.27
% 2.03/1.27
%------------------------------------------------------------------------------