%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV316-2 : 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 : n013.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 01:08:49 PM UTC 2026
% Result : Unsatisfiable 24.45s 7.71s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 52
% Syntax : Number of formulae : 205 ( 62 unt; 17 def)
% Number of atoms : 409 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 368 ( 164 ~; 187 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 18 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 14 con; 0-3 aty)
% Number of variables : 166 ( 0 sgn 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,axiom,
! [X0,X1] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OAgent__synth_0) ).
fof(f5,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth__eq_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f8,axiom,
! [X0] : c_Message_Oanalz(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
fof(f9,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oanalz(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f11,axiom,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f12,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f13,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).
fof(f15,plain,
! [X0,X1] :
( c_Message_Oparts(X1) = c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg))
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__idem_0) ).
fof(f17,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Agent_0) ).
fof(f19,axiom,
! [X2,X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Crypt_0) ).
fof(f20,axiom,
! [X2,X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__MPair_0) ).
fof(f21,axiom,
! [X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Nonce_0) ).
fof(f23,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OMPair_0) ).
fof(f24,negated_conjecture,
! [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(f25,axiom,
! [X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__notin__used__empty_0) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_1) ).
fof(f27,axiom,
! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__notin__initState_0) ).
fof(f28,axiom,
! [X0] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__notin__used__empty_0) ).
fof(f29,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f30,axiom,
! [X0] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_OinitState(X0),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__initState_0) ).
fof(f31,axiom,
! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oused(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
fof(f32,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f33,axiom,
! [X2,X3,X0,X1] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
fof(f34,axiom,
! [X2,X3,X0,X1] : c_union(X0,c_insert(X1,X2,X3),X3) = c_insert(X1,c_union(X0,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_0) ).
fof(f35,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_0) ).
fof(f36,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_2) ).
fof(f37,negated_conjecture,
c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f38,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f39,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f40,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f41,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f42,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f44,definition,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f45,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f48,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f42,f47,f44]) ).
fof(f50,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f52,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f41,f44,f47]) ).
fof(f54,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f55,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f56,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f40,f44,f54]) ).
fof(f72,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(superposition,[],[f48,f15]) ).
fof(f78,definition,
( spl0_4
<=> c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_5
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f82,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f72,f47,f81,f78]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[],[f6,f9]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Omsg_OAgent(X0) = X2 ),
inference(superposition,[],[f35,f18]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Omsg_ONonce(X0) = X2 ),
inference(superposition,[],[f35,f21]) ).
fof(f120,plain,
! [X0,X1] : c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_union(c_Message_Oparts(X0),X1,tc_Message_Omsg)),
inference(superposition,[],[f11,f17]) ).
fof(f123,plain,
! [X0,X1] : c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_union(X0,c_Message_Oparts(X1),tc_Message_Omsg)),
inference(superposition,[],[f11,f17]) ).
fof(f126,plain,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(c_union(X0,c_Message_Oparts(X1),tc_Message_Omsg)),
inference(forward_demodulation,[],[f123,f11]) ).
fof(f129,plain,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(c_union(c_Message_Oparts(X0),X1,tc_Message_Omsg)),
inference(forward_demodulation,[],[f120,f11]) ).
fof(f131,plain,
! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_OinitState(X1),tc_Message_Omsg),
inference(resolution,[],[f10,f27]) ).
fof(f132,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f10,f55]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(resolution,[],[f10,f7]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X0),X2,tc_Message_Omsg) ),
inference(resolution,[],[f133,f36]) ).
fof(f142,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| spl0_3 ),
inference(resolution,[],[f132,f29]) ).
fof(f147,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,[],[f24,f1]) ).
fof(f192,plain,
! [X2,X0,X1] : c_insert(X0,X1,X2) = c_union(c_insert(X0,X1,X2),X1,X2),
inference(superposition,[],[f33,f32]) ).
fof(f212,plain,
( ~ c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
inference(resolution,[],[f147,f39]) ).
fof(f213,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f212,f37]) ).
fof(f215,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_Message_Omsg),
inference(resolution,[],[f213,f133]) ).
fof(f216,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(forward_demodulation,[],[f215,f13]) ).
fof(f218,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f216,f7]) ).
fof(f221,plain,
c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f218,f87]) ).
fof(f239,plain,
! [X2,X0,X1] : c_insert(X2,X0,X1) = c_union(X0,c_insert(X2,X0,X1),X1),
inference(superposition,[],[f34,f32]) ).
fof(f243,plain,
! [X2,X3,X0,X1] : c_union(X0,c_insert(X3,X2,X1),X1) = c_union(c_insert(X3,X0,X1),X2,X1),
inference(superposition,[],[f33,f34]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( c_in(X3,c_Message_Oparts(c_insert(X1,c_insert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X0,tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OMPair(X1,X2) = X3 ),
inference(superposition,[],[f35,f20]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X0,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X3,c_Message_Oparts(c_insert(X2,X0,tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OCrypt(X1,X2) = X3 ),
inference(superposition,[],[f35,f19]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4] :
( c_in(X2,c_Message_Oparts(c_insert(X4,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,X2)),X3,tc_Message_Omsg) ),
inference(resolution,[],[f138,f7]) ).
fof(f428,definition,
( spl0_7
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f429,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f566,plain,
! [X0,X1] : c_Message_Oparts(c_union(c_insert(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg)) = c_Message_Oparts(c_insert(X0,c_Message_Oparts(X1),tc_Message_Omsg)),
inference(superposition,[],[f126,f192]) ).
fof(f585,plain,
! [X0,X1] : c_Message_Oparts(c_insert(X0,c_Message_Oparts(X1),tc_Message_Omsg)) = c_Message_Oparts(c_union(c_Message_Oparts(X1),c_insert(X0,X1,tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f566,f243]) ).
fof(f597,plain,
! [X0,X1] : c_Message_Oparts(c_insert(X0,c_Message_Oparts(X1),tc_Message_Omsg)) = c_Message_Oparts(c_union(X1,c_insert(X0,X1,tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f585,f129]) ).
fof(f601,plain,
! [X0,X1] : c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(c_insert(X0,c_Message_Oparts(X1),tc_Message_Omsg)),
inference(forward_demodulation,[],[f597,f239]) ).
fof(f602,plain,
! [X0,X1] : c_Message_Oparts(c_insert(X1,c_Message_Oanalz(X0),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_Message_Oparts(X0),tc_Message_Omsg)),
inference(superposition,[],[f601,f13]) ).
fof(f652,plain,
! [X0,X1] : c_Message_Oparts(c_insert(X1,X0,tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_Message_Oanalz(X0),tc_Message_Omsg)),
inference(forward_demodulation,[],[f602,f601]) ).
fof(f819,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),X2) = X0
| c_in(X0,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OAgent(X1) = X0 ),
inference(resolution,[],[f287,f108]) ).
fof(f820,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X2) = X0
| c_in(X0,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_ONonce(X1) = X0 ),
inference(resolution,[],[f287,f109]) ).
fof(f1146,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,X3))),X4,tc_Message_Omsg)
| c_in(X3,c_Message_Oparts(c_insert(X5,X4,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f365,f7]) ).
fof(f1878,plain,
! [X0] : c_in(v_X,c_Message_Oparts(c_insert(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f1146,f213]) ).
fof(f1910,plain,
! [X0] : c_in(v_X,c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg),
inference(forward_demodulation,[],[f1878,f652]) ).
fof(f1911,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f1910,f79]) ).
fof(f1921,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1911]) ).
fof(f1922,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))
| ~ spl0_5 ),
inference(resolution,[],[f82,f336]) ).
fof(f1927,definition,
( spl0_10
<=> c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f1928,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f1930,definition,
( spl0_11
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f1931,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1932,plain,
( spl0_10
| spl0_11
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1922,f81,f1930,f1927]) ).
fof(f1933,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f142,f45]) ).
fof(f1934,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f1933]) ).
fof(f1938,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f1941,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))))
| spl0_2 ),
inference(resolution,[],[f50,f287]) ).
fof(f1947,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_2 ),
inference(superposition,[],[f50,f15]) ).
fof(f1948,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1947,f1910]) ).
fof(f1949,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))))
| spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1941,f429]) ).
fof(f1953,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(X0),tc_Message_Omsg) )
| spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f7,f1949]) ).
fof(f1992,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg)
| ~ spl0_10 ),
inference(superposition,[],[f25,f1928]) ).
fof(f2003,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1992,f31]) ).
fof(f2004,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f2003]) ).
fof(f2010,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_ONonce(v_NA) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| ~ spl0_11 ),
inference(resolution,[],[f1931,f820]) ).
fof(f2018,definition,
( spl0_16
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f2019,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2022,definition,
( spl0_17
<=> c_Message_Omsg_ONonce(v_NA) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f2023,plain,
( c_Message_Omsg_ONonce(v_NA) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2025,definition,
( spl0_18
<=> c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f2026,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f2027,plain,
( spl0_17
| spl0_16
| spl0_18
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2010,f1930,f2025,f2018,f2022]) ).
fof(f2063,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| spl0_2 ),
inference(superposition,[],[f1948,f15]) ).
fof(f2064,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2063,f1953]) ).
fof(f2066,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2064,f1938]) ).
fof(f2067,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2066]) ).
fof(f2071,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_7 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f2077,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)
| spl0_7 ),
inference(resolution,[],[f2071,f10]) ).
fof(f2199,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)
| spl0_7 ),
inference(resolution,[],[f2077,f36]) ).
fof(f2204,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| spl0_7 ),
inference(resolution,[],[f2199,f29]) ).
fof(f2205,plain,
( $false
| ~ spl0_1
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2204,f45]) ).
fof(f2206,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2205]) ).
fof(f2308,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| ~ spl0_16 ),
inference(resolution,[],[f2019,f820]) ).
fof(f2320,definition,
( spl0_23
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f2321,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f2320]) ).
fof(f2324,definition,
( spl0_24
<=> c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f2325,plain,
( c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f2327,definition,
( spl0_25
<=> c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f2328,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f2329,plain,
( spl0_24
| spl0_23
| spl0_25
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f2308,f2018,f2327,f2320,f2324]) ).
fof(f2344,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OAgent(v_Aa) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| ~ spl0_23 ),
inference(resolution,[],[f2321,f819]) ).
fof(f2356,definition,
( spl0_27
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f2357,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f2356]) ).
fof(f2360,definition,
( spl0_28
<=> c_Message_Omsg_OAgent(v_Aa) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f2361,plain,
( c_Message_Omsg_OAgent(v_Aa) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f2360]) ).
fof(f2363,definition,
( spl0_29
<=> c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f2364,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f2363]) ).
fof(f2365,plain,
( spl0_28
| spl0_27
| spl0_29
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f2344,f2320,f2363,f2356,f2360]) ).
fof(f2369,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_27 ),
inference(superposition,[],[f2357,f15]) ).
fof(f2370,plain,
( ~ c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f2369,f55]) ).
fof(f2377,plain,
( c_in(c_Message_Omsg_ONonce(v_NA),c_Event_OinitState(v_A),tc_Message_Omsg)
| ~ spl0_17 ),
inference(superposition,[],[f30,f2023]) ).
fof(f2390,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2377,f131]) ).
fof(f2391,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f2390]) ).
fof(f2407,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(X0),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X0),tc_Message_Omsg) )
| ~ spl0_18 ),
inference(superposition,[],[f26,f2026]) ).
fof(f2428,plain,
( ! [X0] : c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X0),tc_Message_Omsg)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2407,f31]) ).
fof(f2436,plain,
( $false
| ~ spl0_18 ),
inference(resolution,[],[f2428,f28]) ).
fof(f2437,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2450,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(X0),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(X0),tc_Message_Omsg) )
| ~ spl0_25 ),
inference(superposition,[],[f26,f2328]) ).
fof(f2468,plain,
( ! [X0] : c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(X0),tc_Message_Omsg)
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2450,f31]) ).
fof(f2469,plain,
( $false
| ~ spl0_25 ),
inference(resolution,[],[f2468,f38]) ).
fof(f2472,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f2469]) ).
fof(f2473,plain,
( $false
| spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f221,f2370]) ).
fof(f2474,plain,
( spl0_3
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2473]) ).
fof(f2508,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(X0),tc_Message_Omsg) )
| ~ spl0_29 ),
inference(superposition,[],[f23,f2364]) ).
fof(f2531,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Osynth(X0),tc_Message_Omsg) )
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2508,f2]) ).
fof(f2532,plain,
( ! [X0] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2531,f2]) ).
fof(f2533,plain,
( ! [X0] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X0,tc_Message_Omsg)
| ~ spl0_29 ),
inference(resolution,[],[f2532,f5]) ).
fof(f2547,plain,
( $false
| spl0_3
| ~ spl0_29 ),
inference(resolution,[],[f2533,f132]) ).
fof(f2571,plain,
( spl0_3
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
fof(f2583,plain,
( c_in(c_Message_Omsg_ONonce(v_NB),c_Event_OinitState(v_A),tc_Message_Omsg)
| ~ spl0_24 ),
inference(superposition,[],[f30,f2325]) ).
fof(f2589,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2583,f131]) ).
fof(f2590,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f2589]) ).
fof(f2603,plain,
( ~ c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| spl0_3
| ~ spl0_28 ),
inference(superposition,[],[f55,f2361]) ).
fof(f2609,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(c_Message_Omsg_OAgent(v_Aa),X0,tc_Message_Omsg) )
| ~ spl0_28 ),
inference(superposition,[],[f5,f2361]) ).
fof(f2610,plain,
( ! [X0] : c_in(c_Message_Omsg_OAgent(v_Aa),X0,tc_Message_Omsg)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2609,f2]) ).
fof(f2614,plain,
( $false
| spl0_3
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2603,f2610]) ).
fof(f2615,plain,
( spl0_3
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f2614]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f52]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f56]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f83]) ).
cnf(s9,plain,
spl0_4,
inference(sat_conversion,[],[f1921]) ).
cnf(s10,plain,
( ~ spl0_5
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f1932]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f1934]) ).
cnf(s15,plain,
~ spl0_10,
inference(sat_conversion,[],[f2004]) ).
cnf(s17,plain,
( ~ spl0_11
| spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f2027]) ).
cnf(s18,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f2067]) ).
cnf(s21,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s25,plain,
( ~ spl0_16
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f2329]) ).
cnf(s27,plain,
( ~ spl0_23
| spl0_27
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f2365]) ).
cnf(s30,plain,
~ spl0_17,
inference(sat_conversion,[],[f2391]) ).
cnf(s34,plain,
~ spl0_18,
inference(sat_conversion,[],[f2437]) ).
cnf(s37,plain,
~ spl0_25,
inference(sat_conversion,[],[f2472]) ).
cnf(s38,plain,
( spl0_3
| ~ spl0_27 ),
inference(sat_conversion,[],[f2474]) ).
cnf(s43,plain,
( spl0_3
| ~ spl0_29 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s44,plain,
~ spl0_24,
inference(sat_conversion,[],[f2590]) ).
cnf(s47,plain,
( spl0_3
| ~ spl0_28 ),
inference(sat_conversion,[],[f2615]) ).
cnf(s48,plain,
( ~ spl0_16
| spl0_23 ),
inference(rat,[],[s25,s37,s44]) ).
cnf(s49,plain,
( ~ spl0_11
| spl0_16 ),
inference(rat,[],[s17,s34,s30]) ).
cnf(s50,plain,
( ~ spl0_5
| spl0_11 ),
inference(rat,[],[s10,s15]) ).
cnf(s51,plain,
( ~ spl0_2
| spl0_5 ),
inference(rat,[],[s4,s9]) ).
cnf(s52,plain,
spl0_1,
inference(rat,[],[s49,s48,s50,s27,s51,s38,s43,s47,s1,s3]) ).
cnf(s53,plain,
spl0_7,
inference(rat,[],[s21,s52]) ).
cnf(s54,plain,
spl0_3,
inference(rat,[],[s11,s52]) ).
cnf(s55,plain,
~ spl0_2,
inference(rat,[],[s2,s52]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s18,s55,s54,s53]) ).
fof(f2616,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV316-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n013.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 10:32:37 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 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
% 7.20/1.81 % (1081764)Input is clausal, will run a generic CNF schedule.
% 7.20/1.81 % (1081775)dis-21_1_sil=8000:lcm=predicate:random_seed=1048726415: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)
% 7.20/1.81 % (1081775)Instruction limit reached!
% 7.20/1.81 % (1081775)------------------------------
% 7.20/1.81 % (1081775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.81 % (1081775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.81 % (1081775)CaDiCaL version: 2.1.3
% 7.20/1.81 % (1081775)Termination reason: Instruction limit
% 7.20/1.81 % (1081775)Termination phase: Saturation
% 7.20/1.81 % (1081775)Time elapsed: 0.032 s
% 7.20/1.81 % (1081775)Peak memory usage: 89 MB
% 7.20/1.81 % (1081775)Instructions burned: 118 (million)
% 7.20/1.81 % (1081774)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2598958316:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.20/1.81 % (1081772)lrs+10_1_sil=8000:sp=occurrence:random_seed=3463455514:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.20/1.81 % (1081770)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2874892213:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.20/1.81 % (1081771)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3181092182:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.20/1.81 % (1081769)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=1000146765:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.20/1.81 % (1081773)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4180702463:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.20/1.81 % (1081772)Instruction limit reached!
% 7.20/1.81 % (1081772)------------------------------
% 7.20/1.81 % (1081772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.81 % (1081772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.81 % (1081772)CaDiCaL version: 2.1.3
% 7.20/1.81 % (1081772)Termination reason: Instruction limit
% 7.20/1.81 % (1081772)Termination phase: Saturation
% 7.20/1.81 % (1081772)Time elapsed: 0.065 s
% 7.20/1.81 % (1081772)Peak memory usage: 89 MB
% 7.20/1.81 % (1081772)Instructions burned: 108 (million)
% 7.20/1.81 % (1081773)Instruction limit reached!
% 7.20/1.81 % (1081773)------------------------------
% 7.20/1.81 % (1081773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.81 % (1081773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.81 % (1081773)CaDiCaL version: 2.1.3
% 7.20/1.81 % (1081773)Termination reason: Instruction limit
% 7.20/1.81 % (1081773)Termination phase: Saturation
% 7.20/1.81 % (1081773)Time elapsed: 0.072 s
% 7.20/1.81 % (1081773)Peak memory usage: 88 MB
% 7.20/1.81 % (1081773)Instructions burned: 116 (million)
% 7.20/1.81 % (1081777)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3106490550:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.20/1.81 % (1081777)Refutation not found, incomplete strategy
% 7.20/1.81 % (1081777)------------------------------
% 7.20/1.81 % (1081777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.81 % (1081777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.81 % (1081777)CaDiCaL version: 2.1.3
% 7.20/1.81 % (1081777)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.81 % (1081777)Time elapsed: 0.002 s
% 7.20/1.81 % (1081777)Peak memory usage: 88 MB
% 7.20/1.81 % (1081777)Instructions burned: 4 (million)
% 7.20/1.81 % (1081774)Instruction limit reached!
% 7.20/1.81 % (1081774)------------------------------
% 7.20/1.81 % (1081774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.81 % (1081774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.81 % (1081774)CaDiCaL version: 2.1.3
% 7.20/1.81 % (1081774)Termination reason: Instruction limit
% 7.20/1.81 % (1081774)Termination phase: Saturation
% 7.20/1.81 % (1081774)Time elapsed: 0.102 s
% 7.20/1.81 % (1081774)Peak memory usage: 90 MB
% 7.20/1.81 % (1081774)Instructions burned: 182 (million)
% 7.20/1.81 % (1081784)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=920001530:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 21.12/3.65 % (1081785)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4258591785:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 21.12/3.65 % (1081785)Refutation not found, incomplete strategy
% 21.12/3.65 % (1081785)------------------------------
% 21.12/3.65 % (1081785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.12/3.65 % (1081785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.12/3.65 % (1081785)CaDiCaL version: 2.1.3
% 21.12/3.65 % (1081785)Termination reason: Refutation not found, incomplete strategy
% 21.12/3.65 % (1081785)Time elapsed: 0.003 s
% 21.12/3.65 % (1081785)Peak memory usage: 88 MB
% 21.12/3.65 % (1081785)Instructions burned: 3 (million)
% 21.12/3.65 % (1081787)lrs+10_64_to=lpo:sil=8000:random_seed=2674746385:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 21.12/3.65 % (1081777)------------------------------
% 21.12/3.65 % (1081777)------------------------------
% 21.12/3.65 % (1081784)Instruction limit reached!
% 21.12/3.65 % (1081784)------------------------------
% 21.12/3.65 % (1081784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.12/3.65 % (1081784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.12/3.65 % (1081784)CaDiCaL version: 2.1.3
% 21.12/3.65 % (1081784)Termination reason: Instruction limit
% 21.12/3.65 % (1081784)Termination phase: Saturation
% 21.12/3.65 % (1081784)Time elapsed: 0.107 s
% 21.12/3.65 % (1081784)Peak memory usage: 90 MB
% 21.12/3.65 % (1081784)Instructions burned: 189 (million)
% 21.12/3.65 % (1081787)Instruction limit reached!
% 21.12/3.65 % (1081787)------------------------------
% 21.12/3.65 % (1081787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.12/3.65 % (1081787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.12/3.65 % (1081787)CaDiCaL version: 2.1.3
% 21.12/3.65 % (1081787)Termination reason: Instruction limit
% 21.12/3.65 % (1081787)Termination phase: Saturation
% 21.12/3.65 % (1081787)Time elapsed: 0.073 s
% 21.12/3.65 % (1081787)Peak memory usage: 88 MB
% 21.12/3.65 % (1081787)Instructions burned: 127 (million)
% 21.12/3.65 % (1081791)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=912284133:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 21.12/3.65 % (1081791)Instruction limit reached!
% 21.12/3.65 % (1081791)------------------------------
% 21.12/3.65 % (1081791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.12/3.65 % (1081791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.12/3.65 % (1081791)CaDiCaL version: 2.1.3
% 21.12/3.65 % (1081791)Termination reason: Instruction limit
% 21.12/3.65 % (1081791)Termination phase: Saturation
% 21.12/3.65 % (1081791)Time elapsed: 0.047 s
% 21.12/3.65 % (1081791)Peak memory usage: 89 MB
% 21.12/3.65 % (1081791)Instructions burned: 196 (million)
% 21.12/3.65 % (1081792)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3797700704:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 21.12/3.65 % (1081785)------------------------------
% 21.12/3.65 % (1081785)------------------------------
% 21.12/3.65 % (1081793)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=816389919:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 21.12/3.65 % (1081795)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2605586547:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 21.12/3.65 % (1081795)Instruction limit reached!
% 21.12/3.65 % (1081795)------------------------------
% 21.12/3.65 % (1081795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.12/3.65 % (1081795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.12/3.65 % (1081795)CaDiCaL version: 2.1.3
% 21.12/3.65 % (1081795)Termination reason: Instruction limit
% 21.12/3.65 % (1081795)Termination phase: Saturation
% 21.12/3.65 % (1081795)Time elapsed: 0.024 s
% 21.12/3.65 % (1081795)Peak memory usage: 88 MB
% 21.12/3.65 % (1081795)Instructions burned: 109 (million)
% 21.12/3.65 % (1081792)Instruction limit reached!
% 21.12/3.65 % (1081792)------------------------------
% 21.12/3.65 % (1081792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.26/5.19 % (1081792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.19 % (1081792)CaDiCaL version: 2.1.3
% 32.26/5.19 % (1081792)Termination reason: Instruction limit
% 32.26/5.19 % (1081792)Termination phase: Saturation
% 32.26/5.19 % (1081792)Time elapsed: 0.103 s
% 32.26/5.19 % (1081792)Peak memory usage: 91 MB
% 32.26/5.19 % (1081792)Instructions burned: 157 (million)
% 32.26/5.19 % (1081798)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2136777069:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 32.26/5.19 % (1081800)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2848680724:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 32.26/5.19 % (1081798)Instruction limit reached!
% 32.26/5.19 % (1081798)------------------------------
% 32.26/5.19 % (1081798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.26/5.19 % (1081798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.19 % (1081798)CaDiCaL version: 2.1.3
% 32.26/5.19 % (1081798)Termination reason: Instruction limit
% 32.26/5.19 % (1081798)Termination phase: Saturation
% 32.26/5.19 % (1081798)Time elapsed: 0.059 s
% 32.26/5.19 % (1081798)Peak memory usage: 89 MB
% 32.26/5.19 % (1081798)Instructions burned: 109 (million)
% 32.26/5.19 % (1081800)Instruction limit reached!
% 32.26/5.19 % (1081800)------------------------------
% 32.26/5.19 % (1081800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.26/5.19 % (1081800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.19 % (1081800)CaDiCaL version: 2.1.3
% 32.26/5.19 % (1081800)Termination reason: Instruction limit
% 32.26/5.19 % (1081800)Termination phase: Saturation
% 32.26/5.19 % (1081800)Time elapsed: 0.075 s
% 32.26/5.19 % (1081800)Peak memory usage: 90 MB
% 32.26/5.19 % (1081800)Instructions burned: 245 (million)
% 32.26/5.19 % (1081801)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3010519636:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 32.26/5.19 % (1081805)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=999275372:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 32.26/5.19 % (1081804)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4107319379:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 32.26/5.19 % (1081804)Instruction limit reached!
% 32.26/5.19 % (1081804)------------------------------
% 32.26/5.19 % (1081804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.26/5.19 % (1081804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.19 % (1081804)CaDiCaL version: 2.1.3
% 32.26/5.19 % (1081804)Termination reason: Instruction limit
% 32.26/5.19 % (1081804)Termination phase: Saturation
% 32.26/5.19 % (1081804)Time elapsed: 0.074 s
% 32.26/5.19 % (1081804)Peak memory usage: 89 MB
% 32.26/5.19 % (1081804)Instructions burned: 136 (million)
% 32.26/5.19 % (1081805)Instruction limit reached!
% 32.26/5.19 % (1081805)------------------------------
% 32.26/5.19 % (1081805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.26/5.19 % (1081805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.19 % (1081805)CaDiCaL version: 2.1.3
% 32.26/5.19 % (1081805)Termination reason: Instruction limit
% 32.26/5.19 % (1081805)Termination phase: Saturation
% 32.26/5.19 % (1081805)Time elapsed: 0.114 s
% 32.26/5.19 % (1081805)Peak memory usage: 90 MB
% 32.26/5.19 % (1081805)Instructions burned: 501 (million)
% 32.26/5.19 % (1081810)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=479600043:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 32.26/5.19 % (1081809)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2704246284:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 32.26/5.19 % (1081810)Instruction limit reached!
% 32.26/5.19 % (1081810)------------------------------
% 32.26/5.19 % (1081810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.26/5.19 % (1081810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.19 % (1081810)CaDiCaL version: 2.1.3
% 32.26/5.19 % (1081810)Termination reason: Instruction limit
% 32.26/5.19 % (1081810)Termination phase: Saturation
% 32.26/5.19 % (1081810)Time elapsed: 0.073 s
% 46.90/7.26 % (1081810)Peak memory usage: 90 MB
% 46.90/7.26 % (1081810)Instructions burned: 268 (million)
% 46.90/7.26 % (1081809)Instruction limit reached!
% 46.90/7.26 % (1081809)------------------------------
% 46.90/7.26 % (1081809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.90/7.26 % (1081809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.90/7.26 % (1081809)CaDiCaL version: 2.1.3
% 46.90/7.26 % (1081809)Termination reason: Instruction limit
% 46.90/7.26 % (1081809)Termination phase: Saturation
% 46.90/7.26 % (1081809)Time elapsed: 0.090 s
% 46.90/7.26 % (1081809)Peak memory usage: 89 MB
% 46.90/7.26 % (1081809)Instructions burned: 192 (million)
% 46.90/7.26 % (1081813)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1809974146:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 46.90/7.26 % (1081813)Instruction limit reached!
% 46.90/7.26 % (1081813)------------------------------
% 46.90/7.26 % (1081813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.90/7.26 % (1081813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.90/7.26 % (1081813)CaDiCaL version: 2.1.3
% 46.90/7.26 % (1081813)Termination reason: Instruction limit
% 46.90/7.26 % (1081813)Termination phase: Saturation
% 46.90/7.26 % (1081813)Time elapsed: 0.045 s
% 46.90/7.26 % (1081813)Peak memory usage: 89 MB
% 46.90/7.26 % (1081813)Instructions burned: 159 (million)
% 46.90/7.26 % (1081814)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2518861309:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 46.90/7.26 % (1081816)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=76899780:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 46.90/7.26 % (1081816)Instruction limit reached!
% 46.90/7.26 % (1081816)------------------------------
% 46.90/7.26 % (1081816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.90/7.26 % (1081816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.90/7.26 % (1081816)CaDiCaL version: 2.1.3
% 46.90/7.26 % (1081816)Termination reason: Instruction limit
% 46.90/7.26 % (1081816)Termination phase: Saturation
% 46.90/7.26 % (1081816)Time elapsed: 0.148 s
% 46.90/7.26 % (1081816)Peak memory usage: 90 MB
% 46.90/7.26 % (1081816)Instructions burned: 540 (million)
% 46.90/7.26 % (1081819)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1644947519:i=180:bd=preordered:av=off_2984 on theBenchmark for (2984ds/180Mi)
% 46.90/7.26 % (1081819)Instruction limit reached!
% 46.90/7.26 % (1081819)------------------------------
% 46.90/7.26 % (1081819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.90/7.26 % (1081819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.90/7.26 % (1081819)CaDiCaL version: 2.1.3
% 46.90/7.26 % (1081819)Termination reason: Instruction limit
% 46.90/7.26 % (1081819)Termination phase: Saturation
% 46.90/7.26 % (1081819)Time elapsed: 0.052 s
% 46.90/7.26 % (1081819)Peak memory usage: 88 MB
% 46.90/7.26 % (1081819)Instructions burned: 182 (million)
% 46.90/7.26 % (1081821)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=857030013:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2983 on theBenchmark for (2983ds/10307Mi)
% 46.90/7.26 % (1081793)Instruction limit reached!
% 46.90/7.26 % (1081793)------------------------------
% 46.90/7.26 % (1081793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.90/7.26 % (1081793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.90/7.26 % (1081793)CaDiCaL version: 2.1.3
% 46.90/7.26 % (1081793)Termination reason: Instruction limit
% 46.90/7.26 % (1081793)Termination phase: Saturation
% 46.90/7.26 % (1081793)Time elapsed: 2.041 s
% 46.90/7.26 % (1081793)Peak memory usage: 149 MB
% 46.90/7.26 % (1081793)Instructions burned: 3396 (million)
% 46.90/7.26 % (1081823)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=1355599783:i=412:gtgl=4:gtg=exists_all_2973 on theBenchmark for (2973ds/412Mi)
% 46.90/7.26 % (1081823)Instruction limit reached!
% 46.90/7.26 % (1081823)------------------------------
% 46.90/7.26 % (1081823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.90/7.26 % (1081823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081823)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081823)Termination reason: Instruction limit
% 24.45/7.71 % (1081823)Termination phase: Saturation
% 24.45/7.71 % (1081823)Time elapsed: 0.236 s
% 24.45/7.71 % (1081823)Peak memory usage: 94 MB
% 24.45/7.71 % (1081823)Instructions burned: 412 (million)
% 24.45/7.71 % (1081825)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=2294209731:s2pl=no:i=8478:s2at=4:nm=6_2969 on theBenchmark for (2969ds/8478Mi)
% 24.45/7.71 % (1081814)Instruction limit reached!
% 24.45/7.71 % (1081814)------------------------------
% 24.45/7.71 % (1081814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081814)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081814)Termination reason: Instruction limit
% 24.45/7.71 % (1081814)Termination phase: Saturation
% 24.45/7.71 % (1081814)Time elapsed: 2.009 s
% 24.45/7.71 % (1081814)Peak memory usage: 149 MB
% 24.45/7.71 % (1081814)Instructions burned: 3257 (million)
% 24.45/7.71 % (1081827)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=59637610:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2966 on theBenchmark for (2966ds/303Mi)
% 24.45/7.71 % (1081827)Instruction limit reached!
% 24.45/7.71 % (1081827)------------------------------
% 24.45/7.71 % (1081827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081827)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081827)Termination reason: Instruction limit
% 24.45/7.71 % (1081827)Termination phase: Saturation
% 24.45/7.71 % (1081827)Time elapsed: 0.163 s
% 24.45/7.71 % (1081827)Peak memory usage: 92 MB
% 24.45/7.71 % (1081827)Instructions burned: 303 (million)
% 24.45/7.71 % (1081829)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2637643683:st=4:i=720:sd=3:fsr=off:ss=axioms_2963 on theBenchmark for (2963ds/720Mi)
% 24.45/7.71 % (1081801)Instruction limit reached!
% 24.45/7.71 % (1081801)------------------------------
% 24.45/7.71 % (1081801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081801)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081801)Termination reason: Instruction limit
% 24.45/7.71 % (1081801)Termination phase: Saturation
% 24.45/7.71 % (1081801)Time elapsed: 3.113 s
% 24.45/7.71 % (1081801)Peak memory usage: 165 MB
% 24.45/7.71 % (1081801)Instructions burned: 5208 (million)
% 24.45/7.71 % (1081831)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=705393992:i=598:bs=on:bd=preordered:av=off:ss=axioms_2960 on theBenchmark for (2960ds/598Mi)
% 24.45/7.71 % (1081829)Instruction limit reached!
% 24.45/7.71 % (1081829)------------------------------
% 24.45/7.71 % (1081829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081829)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081829)Termination reason: Instruction limit
% 24.45/7.71 % (1081829)Termination phase: Saturation
% 24.45/7.71 % (1081829)Time elapsed: 0.402 s
% 24.45/7.71 % (1081829)Peak memory usage: 96 MB
% 24.45/7.71 % (1081829)Instructions burned: 721 (million)
% 24.45/7.71 % (1081833)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=4084628306:i=2989:sd=3:ss=axioms:sgt=60_2958 on theBenchmark for (2958ds/2989Mi)
% 24.45/7.71 % (1081831)Instruction limit reached!
% 24.45/7.71 % (1081831)------------------------------
% 24.45/7.71 % (1081831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081831)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081831)Termination reason: Instruction limit
% 24.45/7.71 % (1081831)Termination phase: Saturation
% 24.45/7.71 % (1081831)Time elapsed: 0.348 s
% 24.45/7.71 % (1081831)Peak memory usage: 96 MB
% 24.45/7.71 % (1081831)Instructions burned: 598 (million)
% 24.45/7.71 % (1081835)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1752900044:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2955 on theBenchmark for (2955ds/1997Mi)
% 24.45/7.71 % (1081821)Instruction limit reached!
% 24.45/7.71 % (1081821)------------------------------
% 24.45/7.71 % (1081821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081821)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081821)Termination reason: Instruction limit
% 24.45/7.71 % (1081821)Termination phase: Saturation
% 24.45/7.71 % (1081821)Time elapsed: 3.554 s
% 24.45/7.71 % (1081821)Peak memory usage: 195 MB
% 24.45/7.71 % (1081821)Instructions burned: 10309 (million)
% 24.45/7.71 % (1081837)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=1389293349:i=2088:bd=preordered:av=off_2946 on theBenchmark for (2946ds/2088Mi)
% 24.45/7.71 % (1081835)Instruction limit reached!
% 24.45/7.71 % (1081835)------------------------------
% 24.45/7.71 % (1081835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081835)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081835)Termination reason: Instruction limit
% 24.45/7.71 % (1081835)Termination phase: Saturation
% 24.45/7.71 % (1081835)Time elapsed: 1.242 s
% 24.45/7.71 % (1081835)Peak memory usage: 138 MB
% 24.45/7.71 % (1081835)Instructions burned: 1997 (million)
% 24.45/7.71 % (1081839)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=1808481363:i=1098:nicw=on_2941 on theBenchmark for (2941ds/1098Mi)
% 24.45/7.71 % (1081833)Instruction limit reached!
% 24.45/7.71 % (1081833)------------------------------
% 24.45/7.71 % (1081833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081833)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081833)Termination reason: Instruction limit
% 24.45/7.71 % (1081833)Termination phase: Saturation
% 24.45/7.71 % (1081833)Time elapsed: 1.781 s
% 24.45/7.71 % (1081833)Peak memory usage: 144 MB
% 24.45/7.71 % (1081833)Instructions burned: 2991 (million)
% 24.45/7.71 % (1081837)Instruction limit reached!
% 24.45/7.71 % (1081837)------------------------------
% 24.45/7.71 % (1081837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081837)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081837)Termination reason: Instruction limit
% 24.45/7.71 % (1081837)Termination phase: Saturation
% 24.45/7.71 % (1081837)Time elapsed: 0.734 s
% 24.45/7.71 % (1081837)Peak memory usage: 138 MB
% 24.45/7.71 % (1081837)Instructions burned: 2089 (million)
% 24.45/7.71 % (1081841)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=1224437731:i=433:bd=preordered_2939 on theBenchmark for (2939ds/433Mi)
% 24.45/7.71 % (1081842)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=885847768:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2938 on theBenchmark for (2938ds/2942Mi)
% 24.45/7.71 % (1081841)Instruction limit reached!
% 24.45/7.71 % (1081841)------------------------------
% 24.45/7.71 % (1081841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081841)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081841)Termination reason: Instruction limit
% 24.45/7.71 % (1081841)Termination phase: Saturation
% 24.45/7.71 % (1081841)Time elapsed: 0.275 s
% 24.45/7.71 % (1081841)Peak memory usage: 94 MB
% 24.45/7.71 % (1081841)Instructions burned: 433 (million)
% 24.45/7.71 % (1081839)Instruction limit reached!
% 24.45/7.71 % (1081839)------------------------------
% 24.45/7.71 % (1081839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081839)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081839)Termination reason: Instruction limit
% 24.45/7.71 % (1081839)Termination phase: Saturation
% 24.45/7.71 % (1081839)Time elapsed: 0.668 s
% 24.45/7.71 % (1081839)Peak memory usage: 102 MB
% 24.45/7.71 % (1081839)Instructions burned: 1098 (million)
% 24.45/7.71 % (1081845)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=624385857:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2934 on theBenchmark for (2934ds/6922Mi)
% 24.45/7.71 % (1081846)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=229137341:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2934 on theBenchmark for (2934ds/596Mi)
% 24.45/7.71 % (1081842)First to succeed.
% 24.45/7.71 % (1081842)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1081764"
% 24.45/7.71 % (1081846)Instruction limit reached!
% 24.45/7.71 % (1081846)------------------------------
% 24.45/7.71 % (1081846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.45/7.71 % (1081846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.45/7.71 % (1081846)CaDiCaL version: 2.1.3
% 24.45/7.71 % (1081846)Termination reason: Instruction limit
% 24.45/7.71 % (1081846)Termination phase: Saturation
% 24.45/7.71 % (1081846)Time elapsed: 0.314 s
% 24.45/7.71 % (1081846)Peak memory usage: 97 MB
% 24.45/7.71 % (1081846)Instructions burned: 597 (million)
% 24.45/7.71 % (1081842)Refutation found. Thanks to Tanya!
% 24.45/7.71 % SZS status Unsatisfiable for theBenchmark
% 24.45/7.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/7.81 % (1081842)------------------------------
% 0.17/7.81 % (1081842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/7.81 % (1081842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/7.81 % (1081842)CaDiCaL version: 2.1.3
% 0.17/7.81 % (1081842)Termination reason: Refutation
% 0.17/7.81 % (1081842)Time elapsed: 0.643 s
% 0.17/7.81 % (1081842)Peak memory usage: 135 MB
% 0.17/7.81 % (1081842)Instructions burned: 1579 (million)
% 0.17/7.81 % (1081842)------------------------------
% 0.17/7.81 % (1081842)------------------------------
% 0.17/7.81 % (1081764)Success in time 7.074 s
% 0.17/7.81 % Vampire exiting
%------------------------------------------------------------------------------