%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT025+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:36:42 AM UTC 2026
% Result : Theorem 3.06s 2.02s
% Output : Refutation 6.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 140 ( 21 unt; 8 def)
% Number of atoms : 575 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 807 ( 372 ~; 352 |; 58 &)
% ( 11 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 84 ( 0 sgn 73 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8397,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f10548,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f11372,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(f11734,axiom,
! [X0,X1,X2] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_isocat_2) ).
fof(f11788,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_isocat_2) ).
fof(f11789,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_isocat_2) ).
fof(f11790,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f11789]) ).
fof(f11794,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f11790]) ).
fof(f11795,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f11794]) ).
fof(f11812,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f11372]) ).
fof(f11813,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f11812]) ).
fof(f11814,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f8397]) ).
fof(f11815,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f11814]) ).
fof(f11816,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f11788]) ).
fof(f11817,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f11816]) ).
fof(f11850,plain,
! [X0,X1,X2] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(ennf_transformation,[],[f11734]) ).
fof(f11851,plain,
! [X0,X1,X2] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(flattening,[],[f11850]) ).
fof(f11858,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f10548]) ).
fof(f11859,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f11858]) ).
fof(f11875,plain,
( ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
& v2_cat_1(sK6)
& l1_cat_1(sK6)
& v2_cat_1(sK5)
& l1_cat_1(sK5)
& v2_cat_1(sK4)
& l1_cat_1(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f11795]) ).
fof(f11878,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(nnf_transformation,[],[f11813]) ).
fof(f11879,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ? [X3] :
( m2_cat_1(X3,X0,X1)
& v8_cat_1(X3,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(rectify,[],[f11878]) ).
fof(f11880,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ( m2_cat_1(sK9(X0,X1),X0,X1)
& v8_cat_1(sK9(X0,X1),X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f11879]) ).
fof(f11911,plain,
l1_cat_1(sK4),
inference(cnf_transformation,[],[f11875]) ).
fof(f11912,plain,
v2_cat_1(sK4),
inference(cnf_transformation,[],[f11875]) ).
fof(f11913,plain,
l1_cat_1(sK5),
inference(cnf_transformation,[],[f11875]) ).
fof(f11914,plain,
v2_cat_1(sK5),
inference(cnf_transformation,[],[f11875]) ).
fof(f11915,plain,
l1_cat_1(sK6),
inference(cnf_transformation,[],[f11875]) ).
fof(f11916,plain,
v2_cat_1(sK6),
inference(cnf_transformation,[],[f11875]) ).
fof(f11917,plain,
~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6))),
inference(cnf_transformation,[],[f11875]) ).
fof(f11931,plain,
! [X2,X0,X1] :
( r1_isocat_1(X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f11880]) ).
fof(f11932,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f11815]) ).
fof(f11933,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f11815]) ).
fof(f11934,plain,
! [X2,X0,X1] :
( v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f11817]) ).
fof(f11981,plain,
! [X2,X0,X1] :
( m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(cnf_transformation,[],[f11851]) ).
fof(f11985,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f11859]) ).
fof(f11986,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f11859]) ).
fof(f12056,definition,
( spl37_3
<=> l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6)) ),
introduced(definition,[new_symbols(definition,[spl37_3])],[avatar_definition]) ).
fof(f12057,plain,
( l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| ~ spl37_3 ),
inference(avatar_component_clause,[],[f12056]) ).
fof(f12058,plain,
( ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| spl37_3 ),
inference(avatar_component_clause,[],[f12056]) ).
fof(f12060,definition,
( spl37_4
<=> v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6)) ),
introduced(definition,[new_symbols(definition,[spl37_4])],[avatar_definition]) ).
fof(f12061,plain,
( v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| ~ spl37_4 ),
inference(avatar_component_clause,[],[f12060]) ).
fof(f12062,plain,
( ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| spl37_4 ),
inference(avatar_component_clause,[],[f12060]) ).
fof(f12064,definition,
( spl37_5
<=> l1_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl37_5])],[avatar_definition]) ).
fof(f12065,plain,
( l1_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_5 ),
inference(avatar_component_clause,[],[f12064]) ).
fof(f12066,plain,
( ~ l1_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| spl37_5 ),
inference(avatar_component_clause,[],[f12064]) ).
fof(f12068,definition,
( spl37_6
<=> v2_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl37_6])],[avatar_definition]) ).
fof(f12069,plain,
( v2_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_6 ),
inference(avatar_component_clause,[],[f12068]) ).
fof(f12070,plain,
( ~ v2_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| spl37_6 ),
inference(avatar_component_clause,[],[f12068]) ).
fof(f12076,plain,
( ~ v2_cat_1(k11_cat_2(sK4,sK5))
| ~ l1_cat_1(k11_cat_2(sK4,sK5))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_3 ),
inference(resolution,[],[f12058,f11985]) ).
fof(f12077,plain,
( ~ v2_cat_1(k11_cat_2(sK4,sK5))
| ~ l1_cat_1(k11_cat_2(sK4,sK5))
| ~ l1_cat_1(sK6)
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f12076,f11916]) ).
fof(f12078,plain,
( ~ v2_cat_1(k11_cat_2(sK4,sK5))
| ~ l1_cat_1(k11_cat_2(sK4,sK5))
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f12077,f11915]) ).
fof(f12080,definition,
( spl37_8
<=> l1_cat_1(k11_cat_2(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl37_8])],[avatar_definition]) ).
fof(f12081,plain,
( l1_cat_1(k11_cat_2(sK4,sK5))
| ~ spl37_8 ),
inference(avatar_component_clause,[],[f12080]) ).
fof(f12082,plain,
( ~ l1_cat_1(k11_cat_2(sK4,sK5))
| spl37_8 ),
inference(avatar_component_clause,[],[f12080]) ).
fof(f12084,definition,
( spl37_9
<=> v2_cat_1(k11_cat_2(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl37_9])],[avatar_definition]) ).
fof(f12085,plain,
( v2_cat_1(k11_cat_2(sK4,sK5))
| ~ spl37_9 ),
inference(avatar_component_clause,[],[f12084]) ).
fof(f12086,plain,
( ~ v2_cat_1(k11_cat_2(sK4,sK5))
| spl37_9 ),
inference(avatar_component_clause,[],[f12084]) ).
fof(f12087,plain,
( ~ spl37_8
| ~ spl37_9
| spl37_3 ),
inference(avatar_split_clause,[],[f12078,f12056,f12084,f12080]) ).
fof(f12088,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_8 ),
inference(resolution,[],[f12082,f11932]) ).
fof(f12089,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f12088,f11912]) ).
fof(f12090,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f12089,f11911]) ).
fof(f12091,plain,
( ~ l1_cat_1(sK5)
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f12090,f11914]) ).
fof(f12092,plain,
( $false
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f12091,f11913]) ).
fof(f12093,plain,
spl37_8,
inference(avatar_contradiction_clause,[],[f12092]) ).
fof(f12094,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_9 ),
inference(resolution,[],[f12086,f11933]) ).
fof(f12095,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f12094,f11912]) ).
fof(f12096,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f12095,f11911]) ).
fof(f12097,plain,
( ~ l1_cat_1(sK5)
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f12096,f11914]) ).
fof(f12098,plain,
( $false
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f12097,f11913]) ).
fof(f12099,plain,
spl37_9,
inference(avatar_contradiction_clause,[],[f12098]) ).
fof(f12100,plain,
( ~ v2_cat_1(k11_cat_2(sK4,sK5))
| ~ l1_cat_1(k11_cat_2(sK4,sK5))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_4 ),
inference(resolution,[],[f12062,f11986]) ).
fof(f12101,plain,
( ~ l1_cat_1(k11_cat_2(sK4,sK5))
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_4
| ~ spl37_9 ),
inference(forward_subsumption_resolution,[],[f12100,f12085]) ).
fof(f12102,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(forward_subsumption_resolution,[],[f12101,f12081]) ).
fof(f12103,plain,
( ~ l1_cat_1(sK6)
| spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(forward_subsumption_resolution,[],[f12102,f11916]) ).
fof(f12104,plain,
( $false
| spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(forward_subsumption_resolution,[],[f12103,f11915]) ).
fof(f12105,plain,
( spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(avatar_contradiction_clause,[],[f12104]) ).
fof(f12106,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_5 ),
inference(resolution,[],[f12066,f11985]) ).
fof(f12107,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f12106,f11912]) ).
fof(f12108,plain,
( ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f12107,f11911]) ).
fof(f12110,definition,
( spl37_10
<=> l1_cat_1(k12_nattra_1(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl37_10])],[avatar_definition]) ).
fof(f12111,plain,
( l1_cat_1(k12_nattra_1(sK5,sK6))
| ~ spl37_10 ),
inference(avatar_component_clause,[],[f12110]) ).
fof(f12112,plain,
( ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_10 ),
inference(avatar_component_clause,[],[f12110]) ).
fof(f12114,definition,
( spl37_11
<=> v2_cat_1(k12_nattra_1(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl37_11])],[avatar_definition]) ).
fof(f12115,plain,
( v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ spl37_11 ),
inference(avatar_component_clause,[],[f12114]) ).
fof(f12116,plain,
( ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| spl37_11 ),
inference(avatar_component_clause,[],[f12114]) ).
fof(f12117,plain,
( ~ spl37_10
| ~ spl37_11
| spl37_5 ),
inference(avatar_split_clause,[],[f12108,f12064,f12114,f12110]) ).
fof(f12121,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_10 ),
inference(resolution,[],[f12112,f11985]) ).
fof(f12122,plain,
( ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f12121,f11914]) ).
fof(f12123,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f12122,f11913]) ).
fof(f12124,plain,
( ~ l1_cat_1(sK6)
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f12123,f11916]) ).
fof(f12125,plain,
( $false
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f12124,f11915]) ).
fof(f12126,plain,
spl37_10,
inference(avatar_contradiction_clause,[],[f12125]) ).
fof(f12127,plain,
! [X0] :
( ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v2_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ l1_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6)) ),
inference(resolution,[],[f11931,f11917]) ).
fof(f12128,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_11 ),
inference(resolution,[],[f12116,f11986]) ).
fof(f12129,plain,
( ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f12128,f11914]) ).
fof(f12130,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f12129,f11913]) ).
fof(f12131,plain,
( ~ l1_cat_1(sK6)
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f12130,f11916]) ).
fof(f12132,plain,
( $false
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f12131,f11915]) ).
fof(f12133,plain,
spl37_11,
inference(avatar_contradiction_clause,[],[f12132]) ).
fof(f12135,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_6 ),
inference(resolution,[],[f12070,f11986]) ).
fof(f12136,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_6 ),
inference(forward_subsumption_resolution,[],[f12135,f11912]) ).
fof(f12137,plain,
( ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_6 ),
inference(forward_subsumption_resolution,[],[f12136,f11911]) ).
fof(f12138,plain,
( ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_6
| ~ spl37_11 ),
inference(forward_subsumption_resolution,[],[f12137,f12115]) ).
fof(f12139,plain,
( $false
| spl37_6
| ~ spl37_10
| ~ spl37_11 ),
inference(forward_subsumption_resolution,[],[f12138,f12111]) ).
fof(f12140,plain,
( spl37_6
| ~ spl37_10
| ~ spl37_11 ),
inference(avatar_contradiction_clause,[],[f12139]) ).
fof(f12141,plain,
( ! [X0] :
( ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ l1_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6)) )
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12127,f12069]) ).
fof(f12143,plain,
( ! [X0] :
( ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6)) )
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12141,f12065]) ).
fof(f12145,plain,
( ! [X0] :
( ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6)) )
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12143,f12061]) ).
fof(f12147,plain,
( ! [X0] :
( ~ v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6))) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12145,f12057]) ).
fof(f12209,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ m2_cat_1(k7_isocat_2(sK4,sK5,sK6),k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(resolution,[],[f11934,f12147]) ).
fof(f12210,plain,
( ~ l1_cat_1(sK6)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ m2_cat_1(k7_isocat_2(sK4,sK5,sK6),k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12209,f11916]) ).
fof(f12211,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ m2_cat_1(k7_isocat_2(sK4,sK5,sK6),k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12210,f11915]) ).
fof(f12212,plain,
( ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ m2_cat_1(k7_isocat_2(sK4,sK5,sK6),k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12211,f11914]) ).
fof(f12213,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ m2_cat_1(k7_isocat_2(sK4,sK5,sK6),k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12212,f11913]) ).
fof(f12214,plain,
( ~ l1_cat_1(sK4)
| ~ m2_cat_1(k7_isocat_2(sK4,sK5,sK6),k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12213,f11912]) ).
fof(f12215,plain,
( ~ m2_cat_1(k7_isocat_2(sK4,sK5,sK6),k12_nattra_1(k11_cat_2(sK4,sK5),sK6),k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12214,f11911]) ).
fof(f12221,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(resolution,[],[f11981,f12215]) ).
fof(f12222,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12221,f11912]) ).
fof(f12223,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12222,f11911]) ).
fof(f12224,plain,
( ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12223,f11914]) ).
fof(f12225,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12224,f11913]) ).
fof(f12226,plain,
( ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12225,f11916]) ).
fof(f12227,plain,
( $false
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f12226,f11915]) ).
fof(f12228,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(avatar_contradiction_clause,[],[f12227]) ).
cnf(s3,plain,
( spl37_3
| ~ spl37_8
| ~ spl37_9 ),
inference(sat_conversion,[],[f12087]) ).
cnf(s4,plain,
spl37_8,
inference(sat_conversion,[],[f12093]) ).
cnf(s5,plain,
spl37_9,
inference(sat_conversion,[],[f12099]) ).
cnf(s6,plain,
( spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(sat_conversion,[],[f12105]) ).
cnf(s7,plain,
( spl37_5
| ~ spl37_10
| ~ spl37_11 ),
inference(sat_conversion,[],[f12117]) ).
cnf(s8,plain,
spl37_10,
inference(sat_conversion,[],[f12126]) ).
cnf(s9,plain,
spl37_11,
inference(sat_conversion,[],[f12133]) ).
cnf(s10,plain,
( spl37_6
| ~ spl37_10
| ~ spl37_11 ),
inference(sat_conversion,[],[f12140]) ).
cnf(s11,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(sat_conversion,[],[f12228]) ).
cnf(s12,plain,
spl37_6,
inference(rat,[],[s10,s9,s8]) ).
cnf(s13,plain,
spl37_5,
inference(rat,[],[s7,s9,s8]) ).
cnf(s14,plain,
spl37_4,
inference(rat,[],[s6,s5,s4]) ).
cnf(s15,plain,
~ spl37_3,
inference(rat,[],[s11,s12,s13,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s3,s5,s4,s15]) ).
fof(f12229,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT025+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 21:15:14 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.06/2.02 % (2836832)Detected formulas, will run a generic FOF schedule.
% 3.06/2.02 % (2836840)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3300982384:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 3.06/2.02 % (2836840)Refutation not found, incomplete strategy
% 3.06/2.02 % (2836840)------------------------------
% 3.06/2.02 % (2836840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/2.02 % (2836840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/2.02 % (2836840)CaDiCaL version: 2.1.3
% 3.06/2.02 % (2836840)Termination reason: Refutation not found, incomplete strategy
% 3.06/2.02 % (2836840)Time elapsed: 0.034 s
% 3.06/2.02 % (2836840)Peak memory usage: 104 MB
% 3.06/2.02 % (2836840)Instructions burned: 69 (million)
% 3.06/2.02 % (2836843)dis-21_1_sil=8000:lcm=predicate:random_seed=525264437:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 3.06/2.02 % (2836837)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=4192614575:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 3.06/2.02 % (2836839)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4217762977:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 3.06/2.02 % (2836841)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2348525584:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 3.06/2.02 % (2836842)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2632069993:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 3.06/2.02 % (2836838)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1778337977:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 3.06/2.02 % (2836842)Instruction limit reached!
% 3.06/2.02 % (2836842)------------------------------
% 3.06/2.02 % (2836842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/2.02 % (2836842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/2.02 % (2836842)CaDiCaL version: 2.1.3
% 3.06/2.02 % (2836842)Termination reason: Instruction limit
% 3.06/2.02 % (2836842)Termination phase: Property scanning
% 3.06/2.02 % (2836842)Time elapsed: 0.059 s
% 3.06/2.02 % (2836842)Peak memory usage: 100 MB
% 3.06/2.02 % (2836842)Instructions burned: 140 (million)
% 3.06/2.02 % (2836841)Instruction limit reached!
% 3.06/2.02 % (2836841)------------------------------
% 3.06/2.02 % (2836841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/2.02 % (2836841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/2.02 % (2836841)CaDiCaL version: 2.1.3
% 3.06/2.02 % (2836841)Termination reason: Instruction limit
% 3.06/2.02 % (2836841)Termination phase: Property scanning
% 3.06/2.02 % (2836841)Time elapsed: 0.089 s
% 3.06/2.02 % (2836841)Peak memory usage: 103 MB
% 3.06/2.02 % (2836841)Instructions burned: 120 (million)
% 3.06/2.02 % (2836843)Instruction limit reached!
% 3.06/2.02 % (2836843)------------------------------
% 3.06/2.02 % (2836843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/2.02 % (2836843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/2.02 % (2836843)CaDiCaL version: 2.1.3
% 3.06/2.02 % (2836843)Termination reason: Instruction limit
% 3.06/2.02 % (2836843)Termination phase: Preprocessing 1
% 3.06/2.02 % (2836843)Time elapsed: 0.098 s
% 3.06/2.02 % (2836843)Peak memory usage: 101 MB
% 3.06/2.02 % (2836843)Instructions burned: 129 (million)
% 3.06/2.02 % (2836840)------------------------------
% 3.06/2.02 % (2836840)------------------------------
% 3.06/2.02 % (2836851)lrs+10_1_sil=8000:sp=occurrence:random_seed=432513433:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 3.06/2.02 % (2836852)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2506584423:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 3.06/2.02 % (2836853)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2297696717:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 3.06/2.02 % (2836854)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3596272642:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 3.06/2.02 % (2836852)Instruction limit reached!
% 3.06/2.02 % (2836852)------------------------------
% 3.06/2.02 % (2836852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/2.02 % (2836852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/2.02 % (2836852)CaDiCaL version: 2.1.3
% 3.06/2.02 % (2836852)Termination reason: Instruction limit
% 3.06/2.02 % (2836852)Termination phase: SInE selection
% 3.06/2.02 % (2836852)Time elapsed: 0.070 s
% 3.06/2.02 % (2836852)Peak memory usage: 100 MB
% 3.06/2.02 % (2836852)Instructions burned: 158 (million)
% 3.06/2.02 % (2836851)Instruction limit reached!
% 3.06/2.02 % (2836851)------------------------------
% 3.06/2.02 % (2836851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/2.02 % (2836851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/2.02 % (2836851)CaDiCaL version: 2.1.3
% 3.06/2.02 % (2836851)Termination reason: Instruction limit
% 3.06/2.02 % (2836851)Termination phase: Saturation
% 3.06/2.02 % (2836851)Time elapsed: 0.113 s
% 3.06/2.02 % (2836851)Peak memory usage: 107 MB
% 3.06/2.02 % (2836851)Instructions burned: 287 (million)
% 3.06/2.02 % (2836853)First to succeed.
% 3.06/2.02 % (2836853)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2836832"
% 3.06/2.02 % (2836860)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3810560964:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 3.06/2.02 % (2836854)Instruction limit reached!
% 3.06/2.02 % (2836854)------------------------------
% 3.06/2.02 % (2836854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/2.02 % (2836854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/2.02 % (2836854)CaDiCaL version: 2.1.3
% 3.06/2.02 % (2836854)Termination reason: Instruction limit
% 3.06/2.02 % (2836854)Termination phase: Preprocessing 1
% 3.06/2.02 % (2836854)Time elapsed: 0.139 s
% 3.06/2.02 % (2836854)Peak memory usage: 101 MB
% 3.06/2.02 % (2836854)Instructions burned: 249 (million)
% 3.06/2.02 % (2836859)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3909347418:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 3.06/2.02 % (2836853)Refutation found. Thanks to Tanya!
% 3.06/2.02 % SZS status Theorem for theBenchmark
% 3.06/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 6.67/2.22 % (2836853)------------------------------
% 6.67/2.22 % (2836853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.22 % (2836853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.22 % (2836853)CaDiCaL version: 2.1.3
% 6.67/2.22 % (2836853)Termination reason: Refutation
% 6.67/2.22 % (2836853)Time elapsed: 0.071 s
% 6.67/2.22 % (2836853)Peak memory usage: 106 MB
% 6.67/2.22 % (2836853)Instructions burned: 91 (million)
% 6.67/2.22 % (2836853)------------------------------
% 6.67/2.22 % (2836853)------------------------------
% 6.67/2.22 % (2836832)Success in time 1.334 s
% 6.67/2.22 % Vampire exiting
%------------------------------------------------------------------------------