%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV354-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Thu Sep 24 03:01:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 16 unt; 8 nHn; 36 RR)
% Number of literals : 86 ( 28 equ; 49 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 120 ( 68 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Osingle__Nonce__secrecy_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X8),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X4),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_ONonce(X6))))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X4 = c_Public_OshrK(v_sko__2VY(X4))
| X8 = X6
| c_in(c_Message_Omsg_ONonce(X8),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Osingle__Nonce__secrecy_0) ).
cnf(cls_conjecture_3,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_NAa),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_2,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) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Yahalom_OSays__Server__not__shrK_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X4)),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__not__shrK_0) ).
cnf(cls_conjecture_7,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
cnf(cls_conjecture_9,negated_conjecture,
( v_NB != v_NBa
| v_NA != v_NAa
| X1 != c_Message_Omsg_OKey(v_K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_Yahalom_OSays__unique__NB_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X6 = X13
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_0_10,plain,
( ~ c_in(c_Message_Omsg_ONonce(X8),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X4),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_ONonce(X6))))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X4 = c_Public_OshrK(v_sko__2VY(X4))
| X8 = X6
| c_in(c_Message_Omsg_ONonce(X8),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_Osingle__Nonce__secrecy_0]) ).
cnf(c_0_11,plain,
( ~ c_in(c_Message_Omsg_ONonce(X8),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X4),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_ONonce(X6))))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X4 = c_Public_OshrK(v_sko__2VY(X4))
| X8 = X6
| c_in(c_Message_Omsg_ONonce(X8),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_10 ).
cnf(c_0_12,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_NAa),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3 ).
cnf(c_0_13,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_14,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_15,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X4)),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__Server__not__shrK_0]) ).
cnf(c_0_16,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NBa = X1
| c_Public_OshrK(v_sko__2VY(v_K)) = v_K ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_7 ).
cnf(c_0_18,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
c_0_14 ).
cnf(c_0_19,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0]) ).
cnf(c_0_20,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X4)),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
c_0_15 ).
cnf(c_0_21,negated_conjecture,
( v_NBa = v_NB
| c_Public_OshrK(v_sko__2VY(v_K)) = v_K ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( v_NB != v_NBa
| v_NA != v_NAa
| X1 != c_Message_Omsg_OKey(v_K) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_9]) ).
cnf(c_0_23,plain,
( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X6 = X13
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__unique__NB_0]) ).
cnf(c_0_24,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_19 ).
cnf(c_0_25,negated_conjecture,
( ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(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(v_K),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| v_NBa = v_NB ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( v_NB != v_NBa
| v_NA != v_NAa
| X1 != c_Message_Omsg_OKey(v_K) ),
c_0_22 ).
cnf(c_0_27,plain,
( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X6 = X13
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_23 ).
cnf(c_0_28,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_5 ).
cnf(c_0_29,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_13])]) ).
cnf(c_0_30,negated_conjecture,
v_NBa = v_NB,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_12]),c_0_13])]) ).
cnf(c_0_31,negated_conjecture,
( v_NBa != v_NB
| v_NAa != v_NA ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| X1 = v_NA ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_13])]),c_0_18]) ).
cnf(c_0_33,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
v_NAa != v_NA,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV354-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.37 % Computer : n004.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Mon Sep 21 08:43:00 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.44 % Version: 3.5.1
% 0.14/10.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/10.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.44 % Starting sh5l with 300s (1) cores
% 0.14/10.44 % sh5l with pid 2749629 completed with status 0
% 0.14/10.44 % Result found by sh5l
% 0.14/10.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/10.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.44 % Starting sh5l with 300s (1) cores
% 0.14/10.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/10.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/10.44 % Search class: FGHSF-FFMS31-DFFFFFNN
% 0.14/10.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/10.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/10.44 % SubtermCWHack with pid 2749637 completed with status 0
% 0.14/10.44 % Result found by SubtermCWHack
% 0.14/10.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/10.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.44 % Starting sh5l with 300s (1) cores
% 0.14/10.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/10.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/10.44 % Search class: FGHSF-FFMS31-DFFFFFNN
% 0.14/10.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/10.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/10.44 % Preprocessing time : 0.001 s
% 0.14/10.44
% 0.14/10.44 % Proof found!
% 0.14/10.44 % SZS status Unsatisfiable
% 0.14/10.44 % SZS output start CNFRefutation
% See solution above
% 0.14/10.44 % Parsed axioms : 10
% 0.14/10.44 % Removed by relevancy pruning/SinE : 0
% 0.14/10.44 % Initial clauses : 10
% 0.14/10.44 % Removed in clause preprocessing : 0
% 0.14/10.44 % Initial clauses in saturation : 10
% 0.14/10.44 % Processed clauses : 20
% 0.14/10.44 % ...of these trivial : 0
% 0.14/10.44 % ...subsumed : 0
% 0.14/10.44 % ...remaining for further processing : 20
% 0.14/10.44 % Other redundant clauses eliminated : 1
% 0.14/10.44 % Clauses deleted for lack of memory : 0
% 0.14/10.44 % Backward-subsumed : 0
% 0.14/10.44 % Backward-rewritten : 5
% 0.14/10.44 % Generated clauses : 16
% 0.14/10.44 % ...of the previous two non-redundant : 17
% 0.14/10.44 % ...aggressively subsumed : 0
% 0.14/10.44 % Contextual simplify-reflections : 0
% 0.14/10.44 % Paramodulations : 15
% 0.14/10.44 % Factorizations : 0
% 0.14/10.44 % NegExts : 0
% 0.14/10.44 % Equation resolutions : 1
% 0.14/10.44 % Disequality decompositions : 0
% 0.14/10.44 % Total rewrite steps : 9
% 0.14/10.44 % ...of those cached : 7
% 0.14/10.44 % Propositional unsat checks : 0
% 0.14/10.44 % Propositional check models : 0
% 0.14/10.44 % Propositional check unsatisfiable : 0
% 0.14/10.44 % Propositional clauses : 0
% 0.14/10.44 % Propositional clauses after purity: 0
% 0.14/10.44 % Propositional unsat core size : 0
% 0.14/10.44 % Propositional preprocessing time : 0.000
% 0.14/10.44 % Propositional encoding time : 0.000
% 0.14/10.44 % Propositional solver time : 0.000
% 0.14/10.44 % Success case prop preproc time : 0.000
% 0.14/10.44 % Success case prop encoding time : 0.000
% 0.14/10.44 % Success case prop solver time : 0.000
% 0.14/10.44 % Current number of processed clauses : 14
% 0.14/10.44 % Positive orientable unit clauses : 7
% 0.14/10.44 % Positive unorientable unit clauses: 0
% 0.14/10.44 % Negative unit clauses : 2
% 0.14/10.44 % Non-unit-clauses : 5
% 0.14/10.44 % Current number of unprocessed clauses: 7
% 0.14/10.44 % ...number of literals in the above : 28
% 0.14/10.44 % Current number of archived formulas : 0
% 0.14/10.44 % Current number of archived clauses : 5
% 0.14/10.44 % Clause-clause subsumption calls (NU) : 39
% 0.14/10.44 % Rec. Clause-clause subsumption calls : 11
% 0.14/10.44 % Non-unit clause-clause subsumptions : 0
% 0.14/10.44 % Unit Clause-clause subsumption calls : 7
% 0.14/10.44 % Rewrite failures with RHS unbound : 0
% 0.14/10.44 % BW rewrite match attempts : 2
% 0.14/10.44 % BW rewrite match successes : 1
% 0.14/10.44 % Condensation attempts : 0
% 0.14/10.44 % Condensation successes : 0
% 0.14/10.44 % Termbank termtop insertions : 1277
% 0.14/10.44 % Search garbage collected termcells : 33
% 0.14/10.44
% 0.14/10.44 % -------------------------------------------------
% 0.14/10.44 % User time : 0.005 s
% 0.14/10.44 % System time : 0.003 s
% 0.14/10.44 % Total time : 0.008 s
% 0.14/10.44 % Maximum resident set size: 3608 pages
% 0.14/10.44
% 0.14/10.44 % -------------------------------------------------
% 0.14/10.44 % User time : 0.008 s
% 0.14/10.44 % System time : 0.006 s
% 0.14/10.44 % Total time : 0.014 s
% 0.14/10.44 % Maximum resident set size: 4864 pages
% 0.14/10.44 % E exiting
%------------------------------------------------------------------------------