%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT025+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:37:00 AM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 132 ( 24 unt; 9 def)
% Number of atoms : 474 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 622 ( 280 ~; 270 |; 46 &)
% ( 12 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 10 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 78 ( 0 sgn 69 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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)],[f1]) ).
fof(f6,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(f8,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(f9,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(f13,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(f44,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(f54,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,[],[f2]) ).
fof(f55,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,[],[f54]) ).
fof(f59,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,[],[f6]) ).
fof(f60,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,[],[f59]) ).
fof(f63,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,[],[f8]) ).
fof(f64,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,[],[f63]) ).
fof(f65,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,[],[f9]) ).
fof(f66,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,[],[f65]) ).
fof(f67,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,[],[f13]) ).
fof(f68,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,[],[f67]) ).
fof(f92,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,[],[f44]) ).
fof(f93,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,[],[f92]) ).
fof(f101,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f102,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f103,plain,
~ r1_isocat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2))),
inference(cnf_transformation,[],[f55]) ).
fof(f104,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f105,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f106,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f55]) ).
fof(f107,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f55]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| r1_isocat_1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f115,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f116,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f117,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f118,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f120,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(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_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))) ),
inference(cnf_transformation,[],[f93]) ).
fof(f172,plain,
r1_isocat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2))),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ r1_isocat_1(X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X0) ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f216,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(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0) ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f280,definition,
( spl13_3
<=> l1_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2)) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f281,plain,
( l1_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
( ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2))
| spl13_3 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f288,definition,
( spl13_5
<=> v2_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f290,plain,
( ~ v2_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| spl13_5 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl13_6
<=> l1_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f294,plain,
( ~ l1_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| spl13_6 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl13_7
<=> v2_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f298,plain,
( ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2))
| spl13_7 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f300,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK0,sK1))
| ~ l1_cat_1(sK2)
| spl13_3 ),
inference(resolution,[],[f282,f117]) ).
fof(f301,plain,
( ~ l1_cat_1(k11_cat_2(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK0,sK1))
| ~ l1_cat_1(sK2)
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f300,f102]) ).
fof(f302,plain,
( ~ l1_cat_1(k11_cat_2(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK0,sK1))
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f301,f101]) ).
fof(f304,definition,
( spl13_8
<=> v2_cat_1(k11_cat_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f305,plain,
( v2_cat_1(k11_cat_2(sK0,sK1))
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK1))
| spl13_8 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f308,definition,
( spl13_9
<=> l1_cat_1(k11_cat_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f309,plain,
( l1_cat_1(k11_cat_2(sK0,sK1))
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( ~ l1_cat_1(k11_cat_2(sK0,sK1))
| spl13_9 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f311,plain,
( ~ spl13_8
| ~ spl13_9
| spl13_3 ),
inference(avatar_split_clause,[],[f302,f280,f308,f304]) ).
fof(f312,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| spl13_8 ),
inference(resolution,[],[f306,f116]) ).
fof(f313,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| spl13_8 ),
inference(forward_subsumption_resolution,[],[f312,f105]) ).
fof(f314,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| spl13_8 ),
inference(forward_subsumption_resolution,[],[f313,f106]) ).
fof(f315,plain,
( ~ l1_cat_1(sK1)
| spl13_8 ),
inference(forward_subsumption_resolution,[],[f314,f107]) ).
fof(f316,plain,
( $false
| spl13_8 ),
inference(forward_subsumption_resolution,[],[f315,f104]) ).
fof(f317,plain,
spl13_8,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f318,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| spl13_9 ),
inference(resolution,[],[f310,f115]) ).
fof(f319,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| spl13_9 ),
inference(forward_subsumption_resolution,[],[f318,f105]) ).
fof(f320,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| spl13_9 ),
inference(forward_subsumption_resolution,[],[f319,f106]) ).
fof(f321,plain,
( ~ l1_cat_1(sK1)
| spl13_9 ),
inference(forward_subsumption_resolution,[],[f320,f107]) ).
fof(f322,plain,
( $false
| spl13_9 ),
inference(forward_subsumption_resolution,[],[f321,f104]) ).
fof(f323,plain,
spl13_9,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f324,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_5 ),
inference(resolution,[],[f290,f118]) ).
fof(f325,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f324,f106]) ).
fof(f326,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f325,f107]) ).
fof(f328,definition,
( spl13_10
<=> l1_cat_1(k12_nattra_1(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f329,plain,
( l1_cat_1(k12_nattra_1(sK1,sK2))
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_10 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f332,definition,
( spl13_11
<=> v2_cat_1(k12_nattra_1(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f333,plain,
( v2_cat_1(k12_nattra_1(sK1,sK2))
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f334,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| spl13_11 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f335,plain,
( ~ spl13_10
| ~ spl13_11
| spl13_5 ),
inference(avatar_split_clause,[],[f326,f288,f332,f328]) ).
fof(f336,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| spl13_10 ),
inference(resolution,[],[f330,f117]) ).
fof(f337,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f336,f102]) ).
fof(f338,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f337,f104]) ).
fof(f339,plain,
( ~ l1_cat_1(sK2)
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f338,f105]) ).
fof(f340,plain,
( $false
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f339,f101]) ).
fof(f341,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f345,plain,
! [X0] :
( ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ v2_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2)) ),
inference(resolution,[],[f173,f172]) ).
fof(f350,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| spl13_11 ),
inference(resolution,[],[f334,f118]) ).
fof(f351,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f350,f102]) ).
fof(f352,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f351,f104]) ).
fof(f353,plain,
( ~ l1_cat_1(sK2)
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f352,f105]) ).
fof(f354,plain,
( $false
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f353,f101]) ).
fof(f355,plain,
spl13_11,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f356,plain,
( ! [X0] :
( ~ v2_cat_1(k12_nattra_1(k11_cat_2(sK0,sK1),sK2))
| ~ l1_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ v2_cat_1(k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2))) )
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f345,f281]) ).
fof(f358,definition,
( spl13_12
<=> ! [X0] :
( v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2))) ) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f359,plain,
( ! [X0] :
( v8_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ m2_cat_1(X0,k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2))) )
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f360,plain,
( spl13_12
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f356,f280,f296,f292,f288,f358]) ).
fof(f362,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_6 ),
inference(resolution,[],[f294,f117]) ).
fof(f363,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_6
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f362,f333]) ).
fof(f364,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_6
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f363,f106]) ).
fof(f365,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_6
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f364,f107]) ).
fof(f366,plain,
( $false
| spl13_6
| ~ spl13_10
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f365,f329]) ).
fof(f367,plain,
( spl13_6
| ~ spl13_10
| ~ spl13_11 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f373,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK0,sK1))
| ~ l1_cat_1(sK2)
| spl13_7 ),
inference(resolution,[],[f298,f118]) ).
fof(f374,plain,
( ~ l1_cat_1(k11_cat_2(sK0,sK1))
| ~ v2_cat_1(k11_cat_2(sK0,sK1))
| ~ l1_cat_1(sK2)
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f373,f102]) ).
fof(f375,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK1))
| ~ l1_cat_1(sK2)
| spl13_7
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f374,f309]) ).
fof(f376,plain,
( ~ l1_cat_1(sK2)
| spl13_7
| ~ spl13_8
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f375,f305]) ).
fof(f377,plain,
( $false
| spl13_7
| ~ spl13_8
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f376,f101]) ).
fof(f378,plain,
( spl13_7
| ~ spl13_8
| ~ spl13_9 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f386,plain,
( ~ m2_cat_1(k7_isocat_2(sK0,sK1,sK2),k12_nattra_1(k11_cat_2(sK0,sK1),sK2),k12_nattra_1(sK0,k12_nattra_1(sK1,sK2)))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ spl13_12 ),
inference(resolution,[],[f359,f216]) ).
fof(f387,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f386,f120]) ).
fof(f388,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f387,f107]) ).
fof(f389,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f388,f104]) ).
fof(f390,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f389,f105]) ).
fof(f391,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f390,f101]) ).
fof(f392,plain,
( ~ l1_cat_1(sK0)
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f391,f102]) ).
fof(f393,plain,
( $false
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f392,f106]) ).
fof(f394,plain,
~ spl13_12,
inference(avatar_contradiction_clause,[],[f393]) ).
cnf(s6,plain,
( spl13_3
| ~ spl13_8
| ~ spl13_9 ),
inference(sat_conversion,[],[f311]) ).
cnf(s7,plain,
spl13_8,
inference(sat_conversion,[],[f317]) ).
cnf(s8,plain,
spl13_9,
inference(sat_conversion,[],[f323]) ).
cnf(s9,plain,
( spl13_5
| ~ spl13_10
| ~ spl13_11 ),
inference(sat_conversion,[],[f335]) ).
cnf(s10,plain,
spl13_10,
inference(sat_conversion,[],[f341]) ).
cnf(s11,plain,
spl13_11,
inference(sat_conversion,[],[f355]) ).
cnf(s12,plain,
( ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| spl13_12 ),
inference(sat_conversion,[],[f360]) ).
cnf(s13,plain,
( spl13_6
| ~ spl13_10
| ~ spl13_11 ),
inference(sat_conversion,[],[f367]) ).
cnf(s14,plain,
( spl13_7
| ~ spl13_8
| ~ spl13_9 ),
inference(sat_conversion,[],[f378]) ).
cnf(s15,plain,
~ spl13_12,
inference(sat_conversion,[],[f394]) ).
cnf(s16,plain,
( ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7 ),
inference(rat,[],[s12,s15]) ).
cnf(s17,plain,
spl13_6,
inference(rat,[],[s13,s11,s10]) ).
cnf(s18,plain,
spl13_5,
inference(rat,[],[s9,s11,s10]) ).
cnf(s19,plain,
spl13_7,
inference(rat,[],[s14,s8,s7]) ).
cnf(s20,plain,
~ spl13_3,
inference(rat,[],[s16,s18,s17,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s6,s8,s7,s20]) ).
fof(f395,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n010.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
% 0.08/0.20 % DateTime : Mon Sep 28 21:17:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.29 % (2350143)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (2350152)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3972066986:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (2350149)% WARNING: option uhcvi not known.
% 0.19/0.29 % (2350149)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3585951735:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (2350148)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3909340345_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (2350150)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4152629776:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (2350151)dis+10_1_sil=32000:sp=arity:random_seed=1799033442:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (2350153)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4194160577:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (2350154)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1986293744:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % (2350149) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2350143-2350149"...
% 0.19/0.29 % (2350149)...printing done.
% 0.19/0.29 % (2350149)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (2350149)------------------------------
% 0.19/0.29 % (2350149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (2350149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (2350149)CaDiCaL version: 2.1.3
% 0.19/0.29 % (2350149)Termination reason: Refutation
% 0.19/0.29 % (2350149)Time elapsed: 0.011 s
% 0.19/0.29 % (2350149)Peak memory usage: 12 MB
% 0.19/0.29 % (2350149)Instructions burned: 15 (million)
% 0.19/0.29 % (2350143)Success in time 0.049 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------