%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT026+1 : 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 : n002.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 0.62s 0.94s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 8
% Syntax : Number of formulae : 105 ( 12 unt; 0 def)
% Number of atoms : 759 ( 8 equ)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 1263 ( 609 ~; 560 |; 62 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 244 ( 234 !; 10 ?)
% 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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f35,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(f36,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& m2_cat_1(X2,X0,X1)
& m2_cat_1(X3,X0,X1) )
=> r2_nattra_1(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(f43,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(f49,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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f50,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) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f51,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) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ( ( r2_nattra_1(X0,X1,X3,X4)
& r2_nattra_1(X1,X2,X5,X6) )
=> r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(f52,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(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(f53,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(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,[],[f52]) ).
fof(f54,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,[],[f43]) ).
fof(f55,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,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(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,[],[f49]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(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,[],[f56]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(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,[],[f50]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(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,[],[f60]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ 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,[],[f51]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ 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,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f71,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f72,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f76,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
( ( ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& v2_cat_1(sK2)
& l1_cat_1(sK2)
& v2_cat_1(sK1)
& l1_cat_1(sK1)
& v2_cat_1(sK0)
& l1_cat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f53]) ).
fof(f82,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f83,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f84,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f85,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f86,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f87,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f88,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f77]) ).
fof(f89,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f77]) ).
fof(f90,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f77]) ).
fof(f91,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f92,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,[],[f55]) ).
fof(f93,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,[],[f55]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(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,[],[f57]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(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,[],[f61]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ 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,[],[f67]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f103,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f105,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X1,k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X4,X5),k11_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,X5,k8_isocat_2(X1,X2))
| ~ m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(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(superposition,[],[f100,f94]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5),k12_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,X5,k9_isocat_2(X1,X2))
| ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(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(superposition,[],[f100,f97]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5),k12_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,X5,k9_isocat_2(X1,X2))
| ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X1,k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X4,X5),k11_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,X5,k8_isocat_2(X1,X2))
| ~ m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(duplicate_literal_removal,[],[f114]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5),k12_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,X5,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f116,f105]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X1,k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X4,X5),k11_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,X5,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(forward_subsumption_resolution,[],[f117,f103]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5),k12_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,X5,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f120,f93]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X1,k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X4,X5),k11_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,X5,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(forward_subsumption_resolution,[],[f121,f93]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5),k12_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,X5,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f124,f92]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X1,k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X4,X5),k11_isocat_2(X0,X1,X2,X3))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,X5,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(forward_subsumption_resolution,[],[f125,f92]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X4] :
( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),k9_isocat_2(X1,X2))
| ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(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(superposition,[],[f128,f97]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] :
( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),k9_isocat_2(X1,X2))
| ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] :
( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),k9_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f134,f105]) ).
fof(f137,plain,
( ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(resolution,[],[f136,f91]) ).
fof(f138,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f137,f90]) ).
fof(f139,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f138,f89]) ).
fof(f140,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f139,f88]) ).
fof(f141,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f140,f87]) ).
fof(f142,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f141,f86]) ).
fof(f143,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f142,f83]) ).
fof(f144,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f143,f82]) ).
fof(f145,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(forward_subsumption_resolution,[],[f144,f85]) ).
fof(f146,plain,
( ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f145,f84]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4] :
( r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,k8_isocat_2(X1,X2),k8_isocat_2(X1,X2))
| ~ m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(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(superposition,[],[f129,f94]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] :
( r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,k8_isocat_2(X1,X2),k8_isocat_2(X1,X2))
| ~ m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4] :
( r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X1,k8_isocat_2(X1,X2),k8_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(forward_subsumption_resolution,[],[f150,f103]) ).
fof(f152,plain,
( ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(resolution,[],[f151,f146]) ).
fof(f153,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f152,f90]) ).
fof(f154,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f153,f89]) ).
fof(f155,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f154,f88]) ).
fof(f156,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f155,f85]) ).
fof(f157,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f156,f84]) ).
fof(f158,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f157,f83]) ).
fof(f159,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f158,f82]) ).
fof(f160,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f159,f87]) ).
fof(f161,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f160,f86]) ).
fof(f166,plain,
! [X0] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2) ),
inference(resolution,[],[f161,f101]) ).
fof(f167,plain,
! [X0] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f166,f87]) ).
fof(f168,plain,
! [X0] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f167,f86]) ).
fof(f173,plain,
! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1) ),
inference(resolution,[],[f168,f101]) ).
fof(f174,plain,
! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1) ),
inference(forward_subsumption_resolution,[],[f174,f85]) ).
fof(f176,plain,
! [X0,X1] :
( ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1) ),
inference(forward_subsumption_resolution,[],[f175,f84]) ).
fof(f177,plain,
! [X0,X1] :
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(resolution,[],[f176,f105]) ).
fof(f179,plain,
! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f177,f92]) ).
fof(f180,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f179,f93]) ).
fof(f181,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f180,f103]) ).
fof(f182,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f181,f85]) ).
fof(f183,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f182,f84]) ).
fof(f184,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f183,f87]) ).
fof(f185,plain,
! [X0,X1] :
( ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f184,f86]) ).
fof(f186,plain,
! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(resolution,[],[f185,f103]) ).
fof(f195,plain,
! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f186,f85]) ).
fof(f200,plain,
! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f195,f84]) ).
fof(f201,plain,
! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f200,f87]) ).
fof(f202,plain,
! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2),
inference(forward_subsumption_resolution,[],[f201,f86]) ).
fof(f203,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(resolution,[],[f202,f105]) ).
fof(f212,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f203,f85]) ).
fof(f217,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f212,f84]) ).
fof(f218,plain,
~ l1_cat_1(sK2),
inference(forward_subsumption_resolution,[],[f217,f87]) ).
fof(f219,plain,
$false,
inference(forward_subsumption_resolution,[],[f218,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 21:20:07 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 0.62/0.94 % (776423)Detected formulas, will run a generic FOF schedule.
% 0.62/0.94 % (776432)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=647420634:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.62/0.94 % (776432)First to succeed.
% 0.62/0.94 % (776432)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-776423"
% 0.62/0.94 % (776431)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=654410722:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.62/0.94 % (776433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=508034431:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.62/0.94 % (776430)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=3512782003:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.62/0.94 % (776428)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=3835044654:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.62/0.94 % (776429)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=3371163709:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.62/0.94 % (776434)dis-21_1_sil=8000:lcm=predicate:random_seed=3875587701:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.62/0.94 % (776431)Refutation not found, incomplete strategy
% 0.62/0.94 % (776431)------------------------------
% 0.62/0.94 % (776431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.62/0.94 % (776431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.94 % (776431)CaDiCaL version: 2.1.3
% 0.62/0.94 % (776431)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.94 % (776431)Time elapsed: 0.004 s
% 0.62/0.94 % (776431)Peak memory usage: 88 MB
% 0.62/0.94 % (776431)Instructions burned: 4 (million)
% 0.62/0.94 % (776434)Instruction limit reached!
% 0.62/0.94 % (776434)------------------------------
% 0.62/0.94 % (776434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.62/0.94 % (776434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.94 % (776434)CaDiCaL version: 2.1.3
% 0.62/0.94 % (776434)Termination reason: Instruction limit
% 0.62/0.94 % (776434)Termination phase: Saturation
% 0.62/0.94 % (776434)Time elapsed: 0.083 s
% 0.62/0.94 % (776434)Peak memory usage: 90 MB
% 0.62/0.94 % (776434)Instructions burned: 130 (million)
% 0.62/0.94 % (776433)Also succeeded, but the first one will report.
% 0.62/0.94 % (776432)Refutation found. Thanks to Tanya!
% 0.62/0.94 % SZS status Theorem for theBenchmark
% 0.62/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.13 % (776432)------------------------------
% 0.16/1.13 % (776432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.13 % (776432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.13 % (776432)CaDiCaL version: 2.1.3
% 0.16/1.13 % (776432)Termination reason: Refutation
% 0.16/1.13 % (776432)Time elapsed: 0.005 s
% 0.16/1.13 % (776432)Peak memory usage: 88 MB
% 0.16/1.13 % (776432)Instructions burned: 13 (million)
% 0.16/1.13 % (776432)------------------------------
% 0.16/1.13 % (776432)------------------------------
% 0.16/1.13 % (776423)Success in time 0.294 s
% 0.16/1.13 % Vampire exiting
%------------------------------------------------------------------------------