%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV327-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:52 PM UTC 2026
% Result : Unsatisfiable 2.97s 1.10s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 99 ( 23 unt; 13 def)
% Number of atoms : 204 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 193 ( 88 ~; 92 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_4) ).
fof(f4,negated_conjecture,
c_in(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_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f5,negated_conjecture,
c_in(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_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f6,negated_conjecture,
v_B != v_C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f7,plain,
v_C != v_B,
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( v_B = v_C
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f9,plain,
( v_C = v_B
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f11,axiom,
! [X2,X0,X1] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
fof(f14,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f15,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f16,axiom,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X1,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_OGets__imp__Says__dest_0) ).
fof(f17,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f20,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f21,plain,
~ sQ0_eqProxy(v_C,v_B),
inference(equality_proxy_replacement,[],[f7,f20]) ).
fof(f22,plain,
( sQ0_eqProxy(v_C,v_B)
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(equality_proxy_replacement,[],[f9,f20]) ).
fof(f26,definition,
( spl1_1
<=> c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f29,definition,
( spl1_2
<=> c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f32,definition,
( spl1_3
<=> sQ0_eqProxy(v_C,v_B) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f33,plain,
( sQ0_eqProxy(v_C,v_B)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f34,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f22,f32,f29,f26]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(resolution,[],[f13,f15]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(resolution,[],[f11,f19]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(resolution,[],[f16,f18]) ).
fof(f41,plain,
( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[],[f40,f3]) ).
fof(f43,definition,
( spl1_4
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f44,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,definition,
( spl1_5
<=> c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f47,plain,
( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| spl1_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( spl1_4
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f41,f46,f43]) ).
fof(f49,plain,
( $false
| spl1_5 ),
inference(resolution,[],[f47,f2]) ).
fof(f50,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f52,plain,
( c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_4 ),
inference(resolution,[],[f44,f12]) ).
fof(f54,plain,
( c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl1_4 ),
inference(resolution,[],[f52,f37]) ).
fof(f58,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(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_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
inference(resolution,[],[f39,f4]) ).
fof(f59,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(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_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
inference(resolution,[],[f39,f5]) ).
fof(f61,definition,
( spl1_6
<=> c_in(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_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f62,plain,
( c_in(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_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl1_7
<=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f66,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| spl1_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( spl1_6
| spl1_2
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f59,f65,f29,f61]) ).
fof(f69,definition,
( spl1_8
<=> c_in(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_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f70,plain,
( c_in(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_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( spl1_8
| spl1_1
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f58,f65,f26,f69]) ).
fof(f73,plain,
( $false
| ~ spl1_4
| spl1_7 ),
inference(resolution,[],[f66,f54]) ).
fof(f75,plain,
( ~ spl1_4
| spl1_7 ),
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f76,plain,
( c_in(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_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_8 ),
inference(resolution,[],[f70,f10]) ).
fof(f78,definition,
( spl1_9
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f79,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl1_10
<=> c_in(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_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f82,plain,
( c_in(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_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( spl1_9
| spl1_10
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f76,f69,f81,f78]) ).
fof(f84,plain,
( c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_6 ),
inference(resolution,[],[f62,f10]) ).
fof(f86,definition,
( spl1_11
<=> c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f87,plain,
( c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( spl1_9
| spl1_11
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f84,f61,f86,f78]) ).
fof(f89,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_9 ),
inference(resolution,[],[f79,f14]) ).
fof(f90,plain,
( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl1_9 ),
inference(resolution,[],[f89,f17]) ).
fof(f92,definition,
( spl1_12
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f93,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_11 ),
inference(resolution,[],[f87,f14]) ).
fof(f96,plain,
( spl1_2
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f95,f86,f29]) ).
fof(f97,plain,
( spl1_12
| ~ spl1_5
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f90,f78,f46,f92]) ).
fof(f99,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f93,f1]) ).
fof(f100,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f101,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f33,f21]) ).
fof(f102,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f103,plain,
( c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl1_10 ),
inference(resolution,[],[f82,f14]) ).
fof(f104,plain,
( spl1_1
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f103,f81,f26]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
( spl1_4
| ~ spl1_5 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
spl1_5,
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
( spl1_2
| spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f67]) ).
cnf(s5,plain,
( spl1_1
| ~ spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f72]) ).
cnf(s6,plain,
( ~ spl1_4
| spl1_7 ),
inference(sat_conversion,[],[f75]) ).
cnf(s7,plain,
( ~ spl1_8
| spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f83]) ).
cnf(s8,plain,
( ~ spl1_6
| spl1_9
| spl1_11 ),
inference(sat_conversion,[],[f88]) ).
cnf(s10,plain,
( spl1_2
| ~ spl1_11 ),
inference(sat_conversion,[],[f96]) ).
cnf(s11,plain,
( ~ spl1_5
| ~ spl1_9
| spl1_12 ),
inference(sat_conversion,[],[f97]) ).
cnf(s12,plain,
~ spl1_12,
inference(sat_conversion,[],[f100]) ).
cnf(s13,plain,
~ spl1_3,
inference(sat_conversion,[],[f102]) ).
cnf(s14,plain,
( spl1_1
| ~ spl1_10 ),
inference(sat_conversion,[],[f104]) ).
cnf(s15,plain,
( ~ spl1_5
| ~ spl1_9 ),
inference(rat,[],[s11,s12]) ).
cnf(s17,plain,
~ spl1_9,
inference(rat,[],[s15,s3]) ).
cnf(s18,plain,
spl1_4,
inference(rat,[],[s2,s3]) ).
cnf(s19,plain,
spl1_7,
inference(rat,[],[s6,s18]) ).
cnf(s20,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(rat,[],[s1,s13]) ).
cnf(s21,plain,
spl1_1,
inference(rat,[],[s7,s5,s14,s17,s19]) ).
cnf(s22,plain,
~ spl1_2,
inference(rat,[],[s20,s21]) ).
cnf(s23,plain,
~ spl1_11,
inference(rat,[],[s10,s22]) ).
cnf(s24,plain,
spl1_6,
inference(rat,[],[s4,s19,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s8,s17,s23,s24]) ).
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV327-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:37:39 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.97/1.10 % (2162055)Input is clausal, will run a generic CNF schedule.
% 2.97/1.10 % (2162064)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1124964454:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.97/1.10 % (2162064)Refutation not found, incomplete strategy
% 2.97/1.10 % (2162064)------------------------------
% 2.97/1.10 % (2162064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.10 % (2162064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.10 % (2162064)CaDiCaL version: 2.1.3
% 2.97/1.10 % (2162064)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.10 % (2162064)Time elapsed: 0.002 s
% 2.97/1.10 % (2162064)Peak memory usage: 88 MB
% 2.97/1.10 % (2162064)Instructions burned: 2 (million)
% 2.97/1.10 % (2162063)lrs+10_1_sil=8000:sp=occurrence:random_seed=3049301460:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.97/1.10 % (2162060)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=590392113:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.97/1.10 % (2162066)dis-21_1_sil=8000:lcm=predicate:random_seed=1244118593:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.97/1.10 % (2162065)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2633240577:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.97/1.10 % (2162062)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2579646721:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.97/1.10 % (2162061)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2250214815:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.97/1.10 % (2162066)First to succeed.
% 2.97/1.10 % (2162063)Also succeeded, but the first one will report.
% 2.97/1.10 % (2162066)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2162055"
% 2.97/1.10 % (2162065)Also succeeded, but the first one will report.
% 2.97/1.10 % (2162064)------------------------------
% 2.97/1.10 % (2162064)------------------------------
% 2.97/1.10 % (2162066)Refutation found. Thanks to Tanya!
% 2.97/1.10 % SZS status Unsatisfiable for theBenchmark
% 2.97/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30 % (2162066)------------------------------
% 0.20/1.30 % (2162066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (2162066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (2162066)CaDiCaL version: 2.1.3
% 0.20/1.30 % (2162066)Termination reason: Refutation
% 0.20/1.30 % (2162066)Time elapsed: 0.005 s
% 0.20/1.30 % (2162066)Peak memory usage: 89 MB
% 0.20/1.30 % (2162066)Instructions burned: 5 (million)
% 0.20/1.30 % (2162066)------------------------------
% 0.20/1.30 % (2162066)------------------------------
% 0.20/1.30 % (2162055)Success in time 0.426 s
% 0.20/1.30 % Vampire exiting
%------------------------------------------------------------------------------