%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV325-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:08:51 PM UTC 2026
% Result : Unsatisfiable 1.75s 1.12s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 85 ( 23 unt; 12 def)
% Number of atoms : 173 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 158 ( 70 ~; 76 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 12 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
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_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
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_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
v_B != v_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
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_evsf)),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_evsf)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
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_evsf)),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_evsf)),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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f13,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/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f14,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f15,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f16,plain,
~ sQ0_eqProxy(v_C,v_B),
inference(equality_proxy_replacement,[],[f7,f15]) ).
fof(f17,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_evsf)),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_evsf)),tc_Message_Omsg) ),
inference(equality_proxy_replacement,[],[f9,f15]) ).
fof(f21,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_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f24,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_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f27,definition,
( spl1_3
<=> sQ0_eqProxy(v_C,v_B) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f28,plain,
( sQ0_eqProxy(v_C,v_B)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f29,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f17,f27,f24,f21]) ).
fof(f32,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,f14]) ).
fof(f33,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),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_evsf)),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_evsf))),tc_Message_Omsg) ),
inference(resolution,[],[f32,f4]) ).
fof(f34,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),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_evsf)),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_evsf))),tc_Message_Omsg) ),
inference(resolution,[],[f32,f5]) ).
fof(f36,definition,
( spl1_4
<=> 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_evsf))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f37,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_evsf))),tc_Message_Omsg)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f40,definition,
( spl1_5
<=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f41,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| spl1_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f42,plain,
( spl1_4
| spl1_2
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f34,f40,f24,f36]) ).
fof(f44,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_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f45,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_evsf))),tc_Message_Omsg)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
( spl1_6
| spl1_1
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f33,f40,f21,f44]) ).
fof(f48,plain,
( $false
| spl1_5 ),
inference(resolution,[],[f41,f3]) ).
fof(f49,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f52,definition,
( spl1_7
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f53,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f56,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_evsf)),tc_Message_Omsg)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f60,definition,
( spl1_9
<=> 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_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f61,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_evsf)),tc_Message_Omsg)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ spl1_7 ),
inference(resolution,[],[f53,f12]) ).
fof(f64,plain,
( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl1_7 ),
inference(resolution,[],[f63,f13]) ).
fof(f66,definition,
( spl1_10
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f67,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl1_11
<=> c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f70,plain,
( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| spl1_11 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( $false
| spl1_11 ),
inference(resolution,[],[f70,f2]) ).
fof(f73,plain,
spl1_11,
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f74,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f28,f16]) ).
fof(f75,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f74]) ).
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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ spl1_9 ),
inference(resolution,[],[f61,f12]) ).
fof(f77,plain,
( spl1_2
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f76,f60,f24]) ).
fof(f78,plain,
( spl1_10
| ~ spl1_11
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f64,f52,f69,f66]) ).
fof(f79,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_evsf)),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_evsf)),tc_Message_Omsg)
| ~ spl1_4 ),
inference(resolution,[],[f37,f10]) ).
fof(f80,plain,
( spl1_7
| spl1_9
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f79,f36,f60,f52]) ).
fof(f81,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f67,f1]) ).
fof(f82,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f83,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_evsf)),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_evsf)),tc_Message_Omsg)
| ~ spl1_6 ),
inference(resolution,[],[f45,f10]) ).
fof(f84,plain,
( spl1_7
| spl1_8
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f83,f44,f55,f52]) ).
fof(f85,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_evsf)),tc_Message_Omsg)
| ~ spl1_8 ),
inference(resolution,[],[f56,f12]) ).
fof(f86,plain,
( spl1_1
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f85,f55,f21]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
( spl1_2
| spl1_4
| ~ spl1_5 ),
inference(sat_conversion,[],[f42]) ).
cnf(s3,plain,
( spl1_1
| ~ spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f47]) ).
cnf(s4,plain,
spl1_5,
inference(sat_conversion,[],[f49]) ).
cnf(s8,plain,
spl1_11,
inference(sat_conversion,[],[f73]) ).
cnf(s9,plain,
~ spl1_3,
inference(sat_conversion,[],[f75]) ).
cnf(s10,plain,
( spl1_2
| ~ spl1_9 ),
inference(sat_conversion,[],[f77]) ).
cnf(s11,plain,
( ~ spl1_7
| spl1_10
| ~ spl1_11 ),
inference(sat_conversion,[],[f78]) ).
cnf(s12,plain,
( ~ spl1_4
| spl1_7
| spl1_9 ),
inference(sat_conversion,[],[f80]) ).
cnf(s13,plain,
~ spl1_10,
inference(sat_conversion,[],[f82]) ).
cnf(s14,plain,
( ~ spl1_6
| spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f84]) ).
cnf(s15,plain,
( spl1_1
| ~ spl1_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s16,plain,
( ~ spl1_7
| ~ spl1_11 ),
inference(rat,[],[s11,s13]) ).
cnf(s17,plain,
~ spl1_7,
inference(rat,[],[s16,s8]) ).
cnf(s20,plain,
( spl1_1
| spl1_6 ),
inference(rat,[],[s3,s4]) ).
cnf(s21,plain,
( spl1_2
| spl1_4 ),
inference(rat,[],[s2,s4]) ).
cnf(s22,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(rat,[],[s1,s9]) ).
cnf(s23,plain,
spl1_1,
inference(rat,[],[s14,s20,s15,s17]) ).
cnf(s24,plain,
~ spl1_2,
inference(rat,[],[s22,s23]) ).
cnf(s25,plain,
~ spl1_9,
inference(rat,[],[s10,s24]) ).
cnf(s26,plain,
spl1_4,
inference(rat,[],[s21,s24]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s12,s17,s25,s26]) ).
fof(f87,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV325-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.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 10:38:12 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.75/1.12 % (3769631)Input is clausal, will run a generic CNF schedule.
% 1.75/1.12 % (3769642)dis-21_1_sil=8000:lcm=predicate:random_seed=797592167:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/117Mi)
% 1.75/1.12 % (3769642)First to succeed.
% 1.75/1.12 % (3769642)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3769631"
% 1.75/1.12 % (3769637)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3686415417:i=132376:av=off_2998 on theBenchmark for (2998ds/132376Mi)
% 1.75/1.12 % (3769639)lrs+10_1_sil=8000:sp=occurrence:random_seed=3283275220:i=107:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/107Mi)
% 1.75/1.12 % (3769640)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=623638044:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2998 on theBenchmark for (2998ds/114Mi)
% 1.75/1.12 % (3769638)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4203989645:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2998 on theBenchmark for (2998ds/137899Mi)
% 1.75/1.12 % (3769636)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=2155523737:i=140167_2998 on theBenchmark for (2998ds/140167Mi)
% 1.75/1.12 % (3769640)Also succeeded, but the first one will report.
% 1.75/1.12 % (3769639)Also succeeded, but the first one will report.
% 1.75/1.12 % (3769641)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1549934462:s2a=on:i=180:gtg=position_2998 on theBenchmark for (2998ds/180Mi)
% 1.75/1.12 % (3769641)Also succeeded, but the first one will report.
% 1.75/1.12 % (3769642)Refutation found. Thanks to Tanya!
% 1.75/1.12 % SZS status Unsatisfiable for theBenchmark
% 1.75/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.31 % (3769642)------------------------------
% 0.21/1.31 % (3769642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3769642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3769642)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3769642)Termination reason: Refutation
% 0.21/1.31 % (3769642)Time elapsed: 0.002 s
% 0.21/1.31 % (3769642)Peak memory usage: 89 MB
% 0.21/1.31 % (3769642)Instructions burned: 3 (million)
% 0.21/1.31 % (3769642)------------------------------
% 0.21/1.31 % (3769642)------------------------------
% 0.21/1.31 % (3769631)Success in time 0.437 s
% 0.21/1.31 % Vampire exiting
%------------------------------------------------------------------------------