%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT025+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 8.22s 2.55s
% Output : Refutation 9.53s
% 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(f3782,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/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f3905,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/sandbox/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f3929,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/sandbox/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(f4001,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/sandbox/benchmark/theBenchmark.p',dt_k7_isocat_2) ).
fof(f4055,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/sandbox/benchmark/theBenchmark.p',t33_isocat_2) ).
fof(f4056,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/sandbox/benchmark/theBenchmark.p',t34_isocat_2) ).
fof(f4057,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)],[f4056]) ).
fof(f4061,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,[],[f4057]) ).
fof(f4062,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,[],[f4061]) ).
fof(f4079,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,[],[f3929]) ).
fof(f4080,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,[],[f4079]) ).
fof(f4081,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,[],[f3782]) ).
fof(f4082,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,[],[f4081]) ).
fof(f4083,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,[],[f4055]) ).
fof(f4084,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,[],[f4083]) ).
fof(f4117,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,[],[f4001]) ).
fof(f4118,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,[],[f4117]) ).
fof(f4125,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,[],[f3905]) ).
fof(f4126,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,[],[f4125]) ).
fof(f4142,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)],[f4062]) ).
fof(f4145,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,[],[f4080]) ).
fof(f4146,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,[],[f4145]) ).
fof(f4147,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))],[f4146]) ).
fof(f4178,plain,
l1_cat_1(sK4),
inference(cnf_transformation,[],[f4142]) ).
fof(f4179,plain,
v2_cat_1(sK4),
inference(cnf_transformation,[],[f4142]) ).
fof(f4180,plain,
l1_cat_1(sK5),
inference(cnf_transformation,[],[f4142]) ).
fof(f4181,plain,
v2_cat_1(sK5),
inference(cnf_transformation,[],[f4142]) ).
fof(f4182,plain,
l1_cat_1(sK6),
inference(cnf_transformation,[],[f4142]) ).
fof(f4183,plain,
v2_cat_1(sK6),
inference(cnf_transformation,[],[f4142]) ).
fof(f4184,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,[],[f4142]) ).
fof(f4198,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,[],[f4147]) ).
fof(f4199,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,[],[f4082]) ).
fof(f4200,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,[],[f4082]) ).
fof(f4201,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,[],[f4084]) ).
fof(f4248,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,[],[f4118]) ).
fof(f4252,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,[],[f4126]) ).
fof(f4253,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,[],[f4126]) ).
fof(f4323,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(f4324,plain,
( l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| ~ spl37_3 ),
inference(avatar_component_clause,[],[f4323]) ).
fof(f4325,plain,
( ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| spl37_3 ),
inference(avatar_component_clause,[],[f4323]) ).
fof(f4327,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(f4328,plain,
( v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| ~ spl37_4 ),
inference(avatar_component_clause,[],[f4327]) ).
fof(f4329,plain,
( ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK4,sK5),sK6))
| spl37_4 ),
inference(avatar_component_clause,[],[f4327]) ).
fof(f4331,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(f4332,plain,
( l1_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_5 ),
inference(avatar_component_clause,[],[f4331]) ).
fof(f4333,plain,
( ~ l1_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| spl37_5 ),
inference(avatar_component_clause,[],[f4331]) ).
fof(f4335,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(f4336,plain,
( v2_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| ~ spl37_6 ),
inference(avatar_component_clause,[],[f4335]) ).
fof(f4337,plain,
( ~ v2_cat_1(k12_nattra_1(sK4,k12_nattra_1(sK5,sK6)))
| spl37_6 ),
inference(avatar_component_clause,[],[f4335]) ).
fof(f4343,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,[],[f4325,f4252]) ).
fof(f4344,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,[],[f4343,f4183]) ).
fof(f4345,plain,
( ~ v2_cat_1(k11_cat_2(sK4,sK5))
| ~ l1_cat_1(k11_cat_2(sK4,sK5))
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f4344,f4182]) ).
fof(f4347,definition,
( spl37_8
<=> l1_cat_1(k11_cat_2(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl37_8])],[avatar_definition]) ).
fof(f4348,plain,
( l1_cat_1(k11_cat_2(sK4,sK5))
| ~ spl37_8 ),
inference(avatar_component_clause,[],[f4347]) ).
fof(f4349,plain,
( ~ l1_cat_1(k11_cat_2(sK4,sK5))
| spl37_8 ),
inference(avatar_component_clause,[],[f4347]) ).
fof(f4351,definition,
( spl37_9
<=> v2_cat_1(k11_cat_2(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl37_9])],[avatar_definition]) ).
fof(f4352,plain,
( v2_cat_1(k11_cat_2(sK4,sK5))
| ~ spl37_9 ),
inference(avatar_component_clause,[],[f4351]) ).
fof(f4353,plain,
( ~ v2_cat_1(k11_cat_2(sK4,sK5))
| spl37_9 ),
inference(avatar_component_clause,[],[f4351]) ).
fof(f4354,plain,
( ~ spl37_8
| ~ spl37_9
| spl37_3 ),
inference(avatar_split_clause,[],[f4345,f4323,f4351,f4347]) ).
fof(f4355,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_8 ),
inference(resolution,[],[f4349,f4199]) ).
fof(f4356,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f4355,f4179]) ).
fof(f4357,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f4356,f4178]) ).
fof(f4358,plain,
( ~ l1_cat_1(sK5)
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f4357,f4181]) ).
fof(f4359,plain,
( $false
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f4358,f4180]) ).
fof(f4360,plain,
spl37_8,
inference(avatar_contradiction_clause,[],[f4359]) ).
fof(f4361,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_9 ),
inference(resolution,[],[f4353,f4200]) ).
fof(f4362,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f4361,f4179]) ).
fof(f4363,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f4362,f4178]) ).
fof(f4364,plain,
( ~ l1_cat_1(sK5)
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f4363,f4181]) ).
fof(f4365,plain,
( $false
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f4364,f4180]) ).
fof(f4366,plain,
spl37_9,
inference(avatar_contradiction_clause,[],[f4365]) ).
fof(f4367,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,[],[f4329,f4253]) ).
fof(f4368,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,[],[f4367,f4352]) ).
fof(f4369,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(forward_subsumption_resolution,[],[f4368,f4348]) ).
fof(f4370,plain,
( ~ l1_cat_1(sK6)
| spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(forward_subsumption_resolution,[],[f4369,f4183]) ).
fof(f4371,plain,
( $false
| spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(forward_subsumption_resolution,[],[f4370,f4182]) ).
fof(f4372,plain,
( spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(avatar_contradiction_clause,[],[f4371]) ).
fof(f4373,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,[],[f4333,f4252]) ).
fof(f4374,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,[],[f4373,f4179]) ).
fof(f4375,plain,
( ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f4374,f4178]) ).
fof(f4377,definition,
( spl37_10
<=> l1_cat_1(k12_nattra_1(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl37_10])],[avatar_definition]) ).
fof(f4378,plain,
( l1_cat_1(k12_nattra_1(sK5,sK6))
| ~ spl37_10 ),
inference(avatar_component_clause,[],[f4377]) ).
fof(f4379,plain,
( ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_10 ),
inference(avatar_component_clause,[],[f4377]) ).
fof(f4381,definition,
( spl37_11
<=> v2_cat_1(k12_nattra_1(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl37_11])],[avatar_definition]) ).
fof(f4382,plain,
( v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ spl37_11 ),
inference(avatar_component_clause,[],[f4381]) ).
fof(f4383,plain,
( ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| spl37_11 ),
inference(avatar_component_clause,[],[f4381]) ).
fof(f4384,plain,
( ~ spl37_10
| ~ spl37_11
| spl37_5 ),
inference(avatar_split_clause,[],[f4375,f4331,f4381,f4377]) ).
fof(f4388,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_10 ),
inference(resolution,[],[f4379,f4252]) ).
fof(f4389,plain,
( ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f4388,f4181]) ).
fof(f4390,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f4389,f4180]) ).
fof(f4391,plain,
( ~ l1_cat_1(sK6)
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f4390,f4183]) ).
fof(f4392,plain,
( $false
| spl37_10 ),
inference(forward_subsumption_resolution,[],[f4391,f4182]) ).
fof(f4393,plain,
spl37_10,
inference(avatar_contradiction_clause,[],[f4392]) ).
fof(f4394,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,[],[f4198,f4184]) ).
fof(f4395,plain,
( ~ v2_cat_1(sK5)
| ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_11 ),
inference(resolution,[],[f4383,f4253]) ).
fof(f4396,plain,
( ~ l1_cat_1(sK5)
| ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f4395,f4181]) ).
fof(f4397,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f4396,f4180]) ).
fof(f4398,plain,
( ~ l1_cat_1(sK6)
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f4397,f4183]) ).
fof(f4399,plain,
( $false
| spl37_11 ),
inference(forward_subsumption_resolution,[],[f4398,f4182]) ).
fof(f4400,plain,
spl37_11,
inference(avatar_contradiction_clause,[],[f4399]) ).
fof(f4402,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,[],[f4337,f4253]) ).
fof(f4403,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,[],[f4402,f4179]) ).
fof(f4404,plain,
( ~ v2_cat_1(k12_nattra_1(sK5,sK6))
| ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_6 ),
inference(forward_subsumption_resolution,[],[f4403,f4178]) ).
fof(f4405,plain,
( ~ l1_cat_1(k12_nattra_1(sK5,sK6))
| spl37_6
| ~ spl37_11 ),
inference(forward_subsumption_resolution,[],[f4404,f4382]) ).
fof(f4406,plain,
( $false
| spl37_6
| ~ spl37_10
| ~ spl37_11 ),
inference(forward_subsumption_resolution,[],[f4405,f4378]) ).
fof(f4407,plain,
( spl37_6
| ~ spl37_10
| ~ spl37_11 ),
inference(avatar_contradiction_clause,[],[f4406]) ).
fof(f4408,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,[],[f4394,f4336]) ).
fof(f4410,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,[],[f4408,f4332]) ).
fof(f4412,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,[],[f4410,f4328]) ).
fof(f4414,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,[],[f4412,f4324]) ).
fof(f4476,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,[],[f4201,f4414]) ).
fof(f4477,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,[],[f4476,f4183]) ).
fof(f4478,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,[],[f4477,f4182]) ).
fof(f4479,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,[],[f4478,f4181]) ).
fof(f4480,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,[],[f4479,f4180]) ).
fof(f4481,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,[],[f4480,f4179]) ).
fof(f4482,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,[],[f4481,f4178]) ).
fof(f4488,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,[],[f4248,f4482]) ).
fof(f4489,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,[],[f4488,f4179]) ).
fof(f4490,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,[],[f4489,f4178]) ).
fof(f4491,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,[],[f4490,f4181]) ).
fof(f4492,plain,
( ~ v2_cat_1(sK6)
| ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f4491,f4180]) ).
fof(f4493,plain,
( ~ l1_cat_1(sK6)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f4492,f4183]) ).
fof(f4494,plain,
( $false
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f4493,f4182]) ).
fof(f4495,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(avatar_contradiction_clause,[],[f4494]) ).
cnf(s3,plain,
( spl37_3
| ~ spl37_8
| ~ spl37_9 ),
inference(sat_conversion,[],[f4354]) ).
cnf(s4,plain,
spl37_8,
inference(sat_conversion,[],[f4360]) ).
cnf(s5,plain,
spl37_9,
inference(sat_conversion,[],[f4366]) ).
cnf(s6,plain,
( spl37_4
| ~ spl37_8
| ~ spl37_9 ),
inference(sat_conversion,[],[f4372]) ).
cnf(s7,plain,
( spl37_5
| ~ spl37_10
| ~ spl37_11 ),
inference(sat_conversion,[],[f4384]) ).
cnf(s8,plain,
spl37_10,
inference(sat_conversion,[],[f4393]) ).
cnf(s9,plain,
spl37_11,
inference(sat_conversion,[],[f4400]) ).
cnf(s10,plain,
( spl37_6
| ~ spl37_10
| ~ spl37_11 ),
inference(sat_conversion,[],[f4407]) ).
cnf(s11,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| ~ spl37_6 ),
inference(sat_conversion,[],[f4495]) ).
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(f4496,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT025+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n003.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 21:18:28 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.26 Running first-order theorem proving
% 0.08/0.26 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
% 8.22/2.55 % (2036295)Detected formulas, will run a generic FOF schedule.
% 8.22/2.55 % (2036304)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=822079942:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 8.22/2.55 % (2036304)Instruction limit reached!
% 8.22/2.55 % (2036304)------------------------------
% 8.22/2.55 % (2036304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.55 % (2036304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.55 % (2036304)CaDiCaL version: 2.1.3
% 8.22/2.55 % (2036304)Termination reason: Instruction limit
% 8.22/2.55 % (2036304)Termination phase: Saturation
% 8.22/2.55 % (2036304)Time elapsed: 0.046 s
% 8.22/2.55 % (2036304)Peak memory usage: 94 MB
% 8.22/2.55 % (2036304)Instructions burned: 121 (million)
% 8.22/2.55 % (2036300)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=3596159732:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 8.22/2.55 % (2036301)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=3109560129:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 8.22/2.55 % (2036302)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=2779124519:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 8.22/2.55 % (2036303)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2691208855:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 8.22/2.55 % (2036305)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2842869390:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 8.22/2.55 % (2036306)dis-21_1_sil=8000:lcm=predicate:random_seed=2627544769:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 8.22/2.55 % (2036303)Refutation not found, incomplete strategy
% 8.22/2.55 % (2036303)------------------------------
% 8.22/2.55 % (2036303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.55 % (2036303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.55 % (2036303)CaDiCaL version: 2.1.3
% 8.22/2.55 % (2036303)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.55 % (2036303)Time elapsed: 0.028 s
% 8.22/2.55 % (2036303)Peak memory usage: 93 MB
% 8.22/2.55 % (2036303)Instructions burned: 23 (million)
% 8.22/2.55 % (2036308)lrs+10_1_sil=8000:sp=occurrence:random_seed=2086826216:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 8.22/2.55 % (2036306)Instruction limit reached!
% 8.22/2.55 % (2036306)------------------------------
% 8.22/2.55 % (2036306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.55 % (2036306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.55 % (2036306)CaDiCaL version: 2.1.3
% 8.22/2.55 % (2036306)Termination reason: Instruction limit
% 8.22/2.55 % (2036306)Termination phase: Preprocessing 3
% 8.22/2.55 % (2036306)Time elapsed: 0.141 s
% 8.22/2.55 % (2036306)Peak memory usage: 94 MB
% 8.22/2.55 % (2036306)Instructions burned: 129 (million)
% 8.22/2.55 % (2036305)Instruction limit reached!
% 8.22/2.55 % (2036305)------------------------------
% 8.22/2.55 % (2036305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.55 % (2036305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.55 % (2036305)CaDiCaL version: 2.1.3
% 8.22/2.55 % (2036305)Termination reason: Instruction limit
% 8.22/2.55 % (2036305)Termination phase: Preprocessing 3
% 8.22/2.55 % (2036305)Time elapsed: 0.145 s
% 8.22/2.55 % (2036305)Peak memory usage: 94 MB
% 8.22/2.55 % (2036305)Instructions burned: 139 (million)
% 8.22/2.55 % (2036308)Instruction limit reached!
% 8.22/2.55 % (2036308)------------------------------
% 8.22/2.55 % (2036308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.55 % (2036308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.55 % (2036308)CaDiCaL version: 2.1.3
% 8.22/2.55 % (2036308)Termination reason: Instruction limit
% 8.22/2.55 % (2036308)Termination phase: Saturation
% 8.22/2.55 % (2036308)Time elapsed: 0.160 s
% 8.22/2.55 % (2036308)Peak memory usage: 97 MB
% 8.22/2.55 % (2036308)Instructions burned: 286 (million)
% 8.22/2.55 % (2036317)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2555837588:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 8.22/2.55 % (2036303)------------------------------
% 8.22/2.55 % (2036303)------------------------------
% 8.22/2.55 % (2036317)First to succeed.
% 8.22/2.55 % (2036317)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2036295"
% 8.22/2.55 % (2036316)lrs+10_1_sil=32000:urr=on:br=off:random_seed=881507253:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 8.22/2.55 % (2036318)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=4286303671:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 8.22/2.55 % (2036316)Instruction limit reached!
% 8.22/2.55 % (2036316)------------------------------
% 8.22/2.55 % (2036316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.55 % (2036316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.55 % (2036316)CaDiCaL version: 2.1.3
% 8.22/2.55 % (2036316)Termination reason: Instruction limit
% 8.22/2.55 % (2036316)Termination phase: Saturation
% 8.22/2.55 % (2036316)Time elapsed: 0.143 s
% 8.22/2.55 % (2036316)Peak memory usage: 95 MB
% 8.22/2.55 % (2036316)Instructions burned: 157 (million)
% 8.22/2.55 % (2036318)Instruction limit reached!
% 8.22/2.55 % (2036318)------------------------------
% 8.22/2.55 % (2036318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.55 % (2036318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.55 % (2036318)CaDiCaL version: 2.1.3
% 8.22/2.55 % (2036318)Termination reason: Instruction limit
% 8.22/2.55 % (2036318)Termination phase: Property scanning
% 8.22/2.55 % (2036318)Time elapsed: 0.142 s
% 8.22/2.55 % (2036318)Peak memory usage: 98 MB
% 8.22/2.55 % (2036318)Instructions burned: 250 (million)
% 8.22/2.55 % (2036320)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1153537403:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 8.22/2.55 % (2036324)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2964034663:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 8.22/2.55 % (2036323)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2359166673:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 8.22/2.55 % (2036317)Refutation found. Thanks to Tanya!
% 8.22/2.55 % SZS status Theorem for theBenchmark
% 8.22/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 9.53/2.75 % (2036317)------------------------------
% 9.53/2.75 % (2036317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.75 % (2036317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.75 % (2036317)CaDiCaL version: 2.1.3
% 9.53/2.75 % (2036317)Termination reason: Refutation
% 9.53/2.75 % (2036317)Time elapsed: 0.059 s
% 9.53/2.75 % (2036317)Peak memory usage: 95 MB
% 9.53/2.75 % (2036317)Instructions burned: 46 (million)
% 9.53/2.75 % (2036317)------------------------------
% 9.53/2.75 % (2036317)------------------------------
% 9.53/2.75 % (2036295)Success in time 1.501 s
% 9.53/2.75 % Vampire exiting
%------------------------------------------------------------------------------