%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT026+3 : 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 : n012.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 4.68s 1.29s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 14
% Syntax : Number of formulae : 176 ( 21 unt; 6 def)
% Number of atoms : 946 ( 8 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 1441 ( 671 ~; 670 |; 62 &)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 134 ( 0 sgn 124 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8397,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f10529,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/sandbox/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(f11384,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/sandbox/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(f11735,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/sandbox/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(f11737,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/sandbox/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(f11791,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/sandbox/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f11792,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/sandbox/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f11797,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/sandbox/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(f11798,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)],[f11797]) ).
fof(f11834,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,[],[f11798]) ).
fof(f11835,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,[],[f11834]) ).
fof(f11866,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,[],[f11384]) ).
fof(f11867,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,[],[f11866]) ).
fof(f11868,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,[],[f10529]) ).
fof(f11869,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,[],[f11868]) ).
fof(f11882,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f8397]) ).
fof(f11883,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,[],[f11882]) ).
fof(f11896,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,[],[f11791]) ).
fof(f11897,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,[],[f11896]) ).
fof(f11902,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,[],[f11792]) ).
fof(f11903,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,[],[f11902]) ).
fof(f12869,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,[],[f11735]) ).
fof(f12870,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,[],[f12869]) ).
fof(f12875,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,[],[f11737]) ).
fof(f12876,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,[],[f12875]) ).
fof(f12913,plain,
( ( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k11_isocat_2(sK23,sK24,sK25,sK27))
| ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k12_isocat_2(sK23,sK24,sK25,sK27)) )
& r2_nattra_1(sK23,k11_cat_2(sK24,sK25),sK26,sK27)
& m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
& m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
& v2_cat_1(sK25)
& l1_cat_1(sK25)
& v2_cat_1(sK24)
& l1_cat_1(sK24)
& v2_cat_1(sK23)
& l1_cat_1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK23),skolemize(X1,sK24),skolemize(X2,sK25),skolemize(X3,sK26),skolemize(X4,sK27)],[f11835]) ).
fof(f13239,plain,
l1_cat_1(sK23),
inference(cnf_transformation,[],[f12913]) ).
fof(f13240,plain,
v2_cat_1(sK23),
inference(cnf_transformation,[],[f12913]) ).
fof(f13241,plain,
l1_cat_1(sK24),
inference(cnf_transformation,[],[f12913]) ).
fof(f13242,plain,
v2_cat_1(sK24),
inference(cnf_transformation,[],[f12913]) ).
fof(f13243,plain,
l1_cat_1(sK25),
inference(cnf_transformation,[],[f12913]) ).
fof(f13244,plain,
v2_cat_1(sK25),
inference(cnf_transformation,[],[f12913]) ).
fof(f13245,plain,
m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25)),
inference(cnf_transformation,[],[f12913]) ).
fof(f13246,plain,
m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25)),
inference(cnf_transformation,[],[f12913]) ).
fof(f13247,plain,
r2_nattra_1(sK23,k11_cat_2(sK24,sK25),sK26,sK27),
inference(cnf_transformation,[],[f12913]) ).
fof(f13248,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k11_isocat_2(sK23,sK24,sK25,sK27))
| ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k12_isocat_2(sK23,sK24,sK25,sK27)) ),
inference(cnf_transformation,[],[f12913]) ).
fof(f13278,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,[],[f11867]) ).
fof(f13279,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,[],[f11869]) ).
fof(f13299,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,[],[f11883]) ).
fof(f13300,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,[],[f11883]) ).
fof(f13308,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,[],[f11897]) ).
fof(f13311,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,[],[f11903]) ).
fof(f14550,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,[],[f12870]) ).
fof(f14553,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,[],[f12876]) ).
fof(f15230,definition,
( spl273_1
<=> r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k12_isocat_2(sK23,sK24,sK25,sK27)) ),
introduced(definition,[new_symbols(definition,[spl273_1])],[avatar_definition]) ).
fof(f15232,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k12_isocat_2(sK23,sK24,sK25,sK27))
| spl273_1 ),
inference(avatar_component_clause,[],[f15230]) ).
fof(f15234,definition,
( spl273_2
<=> r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k11_isocat_2(sK23,sK24,sK25,sK27)) ),
introduced(definition,[new_symbols(definition,[spl273_2])],[avatar_definition]) ).
fof(f15236,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k11_isocat_2(sK23,sK24,sK25,sK27))
| spl273_2 ),
inference(avatar_component_clause,[],[f15234]) ).
fof(f15237,plain,
( ~ spl273_1
| ~ spl273_2 ),
inference(avatar_split_clause,[],[f13248,f15234,f15230]) ).
fof(f15242,definition,
( spl273_3
<=> l1_cat_1(k11_cat_2(sK24,sK25)) ),
introduced(definition,[new_symbols(definition,[spl273_3])],[avatar_definition]) ).
fof(f15243,plain,
( l1_cat_1(k11_cat_2(sK24,sK25))
| ~ spl273_3 ),
inference(avatar_component_clause,[],[f15242]) ).
fof(f15244,plain,
( ~ l1_cat_1(k11_cat_2(sK24,sK25))
| spl273_3 ),
inference(avatar_component_clause,[],[f15242]) ).
fof(f15246,definition,
( spl273_4
<=> v2_cat_1(k11_cat_2(sK24,sK25)) ),
introduced(definition,[new_symbols(definition,[spl273_4])],[avatar_definition]) ).
fof(f15247,plain,
( v2_cat_1(k11_cat_2(sK24,sK25))
| ~ spl273_4 ),
inference(avatar_component_clause,[],[f15246]) ).
fof(f15248,plain,
( ~ v2_cat_1(k11_cat_2(sK24,sK25))
| spl273_4 ),
inference(avatar_component_clause,[],[f15246]) ).
fof(f15259,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(superposition,[],[f15232,f13311]) ).
fof(f15260,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15259,f13246]) ).
fof(f15263,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15260,f13244]) ).
fof(f15266,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15263,f13243]) ).
fof(f15269,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15266,f13242]) ).
fof(f15272,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15269,f13241]) ).
fof(f15286,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15272,f13240]) ).
fof(f15288,plain,
( ~ r2_nattra_1(sK23,sK25,k12_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15286,f13239]) ).
fof(f15290,plain,
( ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_3 ),
inference(resolution,[],[f15244,f13299]) ).
fof(f15291,plain,
( ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_3 ),
inference(forward_subsumption_resolution,[],[f15290,f13242]) ).
fof(f15292,plain,
( ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_3 ),
inference(forward_subsumption_resolution,[],[f15291,f13241]) ).
fof(f15293,plain,
( ~ l1_cat_1(sK25)
| spl273_3 ),
inference(forward_subsumption_resolution,[],[f15292,f13244]) ).
fof(f15294,plain,
( $false
| spl273_3 ),
inference(forward_subsumption_resolution,[],[f15293,f13243]) ).
fof(f15295,plain,
spl273_3,
inference(avatar_contradiction_clause,[],[f15294]) ).
fof(f15329,plain,
( ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_4 ),
inference(resolution,[],[f15248,f13300]) ).
fof(f15330,plain,
( ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_4 ),
inference(forward_subsumption_resolution,[],[f15329,f13242]) ).
fof(f15331,plain,
( ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_4 ),
inference(forward_subsumption_resolution,[],[f15330,f13241]) ).
fof(f15332,plain,
( ~ l1_cat_1(sK25)
| spl273_4 ),
inference(forward_subsumption_resolution,[],[f15331,f13244]) ).
fof(f15333,plain,
( $false
| spl273_4 ),
inference(forward_subsumption_resolution,[],[f15332,f13243]) ).
fof(f15334,plain,
spl273_4,
inference(avatar_contradiction_clause,[],[f15333]) ).
fof(f15545,definition,
( spl273_12
<=> m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25) ),
introduced(definition,[new_symbols(definition,[spl273_12])],[avatar_definition]) ).
fof(f15546,plain,
( m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ spl273_12 ),
inference(avatar_component_clause,[],[f15545]) ).
fof(f15547,plain,
( ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| spl273_12 ),
inference(avatar_component_clause,[],[f15545]) ).
fof(f15554,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(superposition,[],[f15288,f13311]) ).
fof(f15556,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15554,f13245]) ).
fof(f15558,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15556,f13244]) ).
fof(f15560,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15558,f13243]) ).
fof(f15562,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15560,f13242]) ).
fof(f15564,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15562,f13241]) ).
fof(f15566,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15564,f13240]) ).
fof(f15568,plain,
( ~ r2_nattra_1(sK23,sK25,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK26,k9_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK25,sK27,k9_isocat_2(sK24,sK25)))
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15566,f13239]) ).
fof(f15627,definition,
( spl273_19
<=> m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24) ),
introduced(definition,[new_symbols(definition,[spl273_19])],[avatar_definition]) ).
fof(f15628,plain,
( m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ spl273_19 ),
inference(avatar_component_clause,[],[f15627]) ).
fof(f15629,plain,
( ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| spl273_19 ),
inference(avatar_component_clause,[],[f15627]) ).
fof(f15649,plain,
( ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_19 ),
inference(resolution,[],[f15629,f14550]) ).
fof(f15650,plain,
( ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_19 ),
inference(forward_subsumption_resolution,[],[f15649,f13242]) ).
fof(f15651,plain,
( ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_19 ),
inference(forward_subsumption_resolution,[],[f15650,f13241]) ).
fof(f15652,plain,
( ~ l1_cat_1(sK25)
| spl273_19 ),
inference(forward_subsumption_resolution,[],[f15651,f13244]) ).
fof(f15653,plain,
( $false
| spl273_19 ),
inference(forward_subsumption_resolution,[],[f15652,f13243]) ).
fof(f15654,plain,
spl273_19,
inference(avatar_contradiction_clause,[],[f15653]) ).
fof(f15658,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(superposition,[],[f15236,f13308]) ).
fof(f15659,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15658,f13246]) ).
fof(f15661,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15659,f13244]) ).
fof(f15663,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15661,f13243]) ).
fof(f15665,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15663,f13242]) ).
fof(f15667,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15665,f13241]) ).
fof(f15669,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15667,f13240]) ).
fof(f15671,plain,
( ~ r2_nattra_1(sK23,sK24,k11_isocat_2(sK23,sK24,sK25,sK26),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15669,f13239]) ).
fof(f15674,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(superposition,[],[f15671,f13308]) ).
fof(f15676,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15674,f13245]) ).
fof(f15678,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15676,f13244]) ).
fof(f15680,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15678,f13243]) ).
fof(f15682,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15680,f13242]) ).
fof(f15684,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15682,f13241]) ).
fof(f15686,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15684,f13240]) ).
fof(f15688,plain,
( ~ r2_nattra_1(sK23,sK24,k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK26,k8_isocat_2(sK24,sK25)),k2_isocat_1(sK23,k11_cat_2(sK24,sK25),sK24,sK27,k8_isocat_2(sK24,sK25)))
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15686,f13239]) ).
fof(f15727,plain,
( ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_12 ),
inference(resolution,[],[f15547,f14553]) ).
fof(f15728,plain,
( ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_12 ),
inference(forward_subsumption_resolution,[],[f15727,f13242]) ).
fof(f15729,plain,
( ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_12 ),
inference(forward_subsumption_resolution,[],[f15728,f13241]) ).
fof(f15730,plain,
( ~ l1_cat_1(sK25)
| spl273_12 ),
inference(forward_subsumption_resolution,[],[f15729,f13244]) ).
fof(f15731,plain,
( $false
| spl273_12 ),
inference(forward_subsumption_resolution,[],[f15730,f13243]) ).
fof(f15732,plain,
spl273_12,
inference(avatar_contradiction_clause,[],[f15731]) ).
fof(f15856,plain,
( ~ r2_nattra_1(sK23,k11_cat_2(sK24,sK25),sK26,sK27)
| ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(resolution,[],[f15568,f13278]) ).
fof(f15860,plain,
( ~ r2_nattra_1(sK23,k11_cat_2(sK24,sK25),sK26,sK27)
| ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(duplicate_literal_removal,[],[f15856]) ).
fof(f15862,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1 ),
inference(forward_subsumption_resolution,[],[f15860,f13247]) ).
fof(f15864,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15862,f15546]) ).
fof(f15866,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15864,f13246]) ).
fof(f15868,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15866,f13245]) ).
fof(f15870,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ l1_cat_1(sK25)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15868,f13244]) ).
fof(f15872,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15870,f13243]) ).
fof(f15873,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15872,f15247]) ).
fof(f15874,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15873,f15243]) ).
fof(f15875,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| ~ l1_cat_1(sK23)
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15874,f13240]) ).
fof(f15876,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK25,k9_isocat_2(sK24,sK25),k9_isocat_2(sK24,sK25))
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f15875,f13239]) ).
fof(f15882,plain,
( ~ r2_nattra_1(sK23,k11_cat_2(sK24,sK25),sK26,sK27)
| ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(resolution,[],[f15688,f13278]) ).
fof(f15886,plain,
( ~ r2_nattra_1(sK23,k11_cat_2(sK24,sK25),sK26,sK27)
| ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(duplicate_literal_removal,[],[f15882]) ).
fof(f15888,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2 ),
inference(forward_subsumption_resolution,[],[f15886,f13247]) ).
fof(f15890,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ m2_cat_1(sK27,sK23,k11_cat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15888,f15628]) ).
fof(f15892,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ m2_cat_1(sK26,sK23,k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15890,f13246]) ).
fof(f15894,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15892,f13245]) ).
fof(f15896,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15894,f13242]) ).
fof(f15898,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15896,f13241]) ).
fof(f15899,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15898,f15247]) ).
fof(f15900,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ v2_cat_1(sK23)
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15899,f15243]) ).
fof(f15901,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| ~ l1_cat_1(sK23)
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15900,f13240]) ).
fof(f15902,plain,
( ~ r2_nattra_1(k11_cat_2(sK24,sK25),sK24,k8_isocat_2(sK24,sK25),k8_isocat_2(sK24,sK25))
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f15901,f13239]) ).
fof(f16009,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK25) )
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(resolution,[],[f15876,f13279]) ).
fof(f16013,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK25) )
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16009,f15247]) ).
fof(f16015,plain,
( ! [X0] :
( ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK25) )
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16013,f15243]) ).
fof(f16017,plain,
( ! [X0] :
( ~ l1_cat_1(sK25)
| ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK25) )
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16015,f13244]) ).
fof(f16019,plain,
( ! [X0] :
( ~ m2_cat_1(k9_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK25)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK25) )
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16017,f13243]) ).
fof(f16021,plain,
( ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK25)
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16019,f15546]) ).
fof(f16024,plain,
( ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(resolution,[],[f16021,f14553]) ).
fof(f16061,plain,
( ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16024,f13242]) ).
fof(f16078,plain,
( ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16061,f13241]) ).
fof(f16095,plain,
( ~ l1_cat_1(sK25)
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16078,f13244]) ).
fof(f16113,plain,
( $false
| spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(forward_subsumption_resolution,[],[f16095,f13243]) ).
fof(f16114,plain,
( spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(avatar_contradiction_clause,[],[f16113]) ).
fof(f16268,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK24,sK25))
| ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK24) )
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(resolution,[],[f15902,f13279]) ).
fof(f16272,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK24,sK25))
| ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK24) )
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16268,f15247]) ).
fof(f16274,plain,
( ! [X0] :
( ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK24) )
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16272,f15243]) ).
fof(f16276,plain,
( ! [X0] :
( ~ l1_cat_1(sK24)
| ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK24) )
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16274,f13242]) ).
fof(f16278,plain,
( ! [X0] :
( ~ m2_cat_1(k8_isocat_2(sK24,sK25),k11_cat_2(sK24,sK25),sK24)
| ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK24) )
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16276,f13241]) ).
fof(f16280,plain,
( ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK24,sK25),sK24)
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16278,f15628]) ).
fof(f16301,plain,
( ~ v2_cat_1(sK24)
| ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(resolution,[],[f16280,f14550]) ).
fof(f16338,plain,
( ~ l1_cat_1(sK24)
| ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16301,f13242]) ).
fof(f16355,plain,
( ~ v2_cat_1(sK25)
| ~ l1_cat_1(sK25)
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16338,f13241]) ).
fof(f16372,plain,
( ~ l1_cat_1(sK25)
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16355,f13244]) ).
fof(f16390,plain,
( $false
| spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(forward_subsumption_resolution,[],[f16372,f13243]) ).
fof(f16391,plain,
( spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(avatar_contradiction_clause,[],[f16390]) ).
cnf(s1,plain,
( ~ spl273_1
| ~ spl273_2 ),
inference(sat_conversion,[],[f15237]) ).
cnf(s4,plain,
spl273_3,
inference(sat_conversion,[],[f15295]) ).
cnf(s6,plain,
spl273_4,
inference(sat_conversion,[],[f15334]) ).
cnf(s16,plain,
spl273_19,
inference(sat_conversion,[],[f15654]) ).
cnf(s17,plain,
spl273_12,
inference(sat_conversion,[],[f15732]) ).
cnf(s21,plain,
( spl273_1
| ~ spl273_3
| ~ spl273_4
| ~ spl273_12 ),
inference(sat_conversion,[],[f16114]) ).
cnf(s31,plain,
( spl273_2
| ~ spl273_3
| ~ spl273_4
| ~ spl273_19 ),
inference(sat_conversion,[],[f16391]) ).
cnf(s35,plain,
spl273_2,
inference(rat,[],[s31,s16,s6,s4]) ).
cnf(s36,plain,
spl273_1,
inference(rat,[],[s21,s17,s6,s4]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s1,s35,s36]) ).
fof(f16393,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CAT026+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.11 % Computer : n012.cluster.edu
% 0.06/0.11 % Model : x86_64 x86_64
% 0.06/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.11 % Memory : 8046.5625MB
% 0.06/0.11 % OS : Linux 6.8.0-71-generic
% 0.06/0.11 % CPULimit : 300
% 0.06/0.11 % WCLimit : 300
% 0.06/0.11 % DateTime : Mon Sep 28 21:18:05 UTC 2026
% 0.06/0.12 % CPUTime :
% 0.06/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.13 Running first-order theorem proving
% 0.06/0.13 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
% 4.68/1.29 % (3775896)Detected formulas, will run a generic FOF schedule.
% 4.68/1.29 % (3775902)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=222437976:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 4.68/1.29 % (3775903)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=1462282532:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 4.68/1.29 % (3775901)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=3089319638:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 4.68/1.29 % (3775905)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=937458083:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 4.68/1.29 % (3775906)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2932735779:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 4.68/1.29 % (3775904)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3968893978:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 4.68/1.29 % (3775907)dis-21_1_sil=8000:lcm=predicate:random_seed=4069224076:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 4.68/1.29 % (3775906)Instruction limit reached!
% 4.68/1.29 % (3775906)------------------------------
% 4.68/1.29 % (3775906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775906)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775906)Termination reason: Instruction limit
% 4.68/1.29 % (3775906)Termination phase: Property scanning
% 4.68/1.29 % (3775906)Time elapsed: 0.030 s
% 4.68/1.29 % (3775906)Peak memory usage: 100 MB
% 4.68/1.29 % (3775906)Instructions burned: 140 (million)
% 4.68/1.29 % (3775904)Refutation not found, incomplete strategy
% 4.68/1.29 % (3775904)------------------------------
% 4.68/1.29 % (3775904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775904)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775904)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.29 % (3775904)Time elapsed: 0.031 s
% 4.68/1.29 % (3775904)Peak memory usage: 104 MB
% 4.68/1.29 % (3775904)Instructions burned: 68 (million)
% 4.68/1.29 % (3775905)Instruction limit reached!
% 4.68/1.29 % (3775905)------------------------------
% 4.68/1.29 % (3775905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775905)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775905)Termination reason: Instruction limit
% 4.68/1.29 % (3775905)Termination phase: Saturation
% 4.68/1.29 % (3775905)Time elapsed: 0.051 s
% 4.68/1.29 % (3775905)Peak memory usage: 104 MB
% 4.68/1.29 % (3775905)Instructions burned: 122 (million)
% 4.68/1.29 % (3775907)Instruction limit reached!
% 4.68/1.29 % (3775907)------------------------------
% 4.68/1.29 % (3775907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775907)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775907)Termination reason: Instruction limit
% 4.68/1.29 % (3775907)Termination phase: Preprocessing 1
% 4.68/1.29 % (3775907)Time elapsed: 0.055 s
% 4.68/1.29 % (3775907)Peak memory usage: 101 MB
% 4.68/1.29 % (3775907)Instructions burned: 130 (million)
% 4.68/1.29 % (3775915)lrs+10_1_sil=8000:sp=occurrence:random_seed=1583110204:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.68/1.29 % (3775916)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1029093075:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.68/1.29 % (3775917)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1874209886:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.68/1.29 % (3775904)------------------------------
% 4.68/1.29 % (3775904)------------------------------
% 4.68/1.29 % (3775916)Instruction limit reached!
% 4.68/1.29 % (3775916)------------------------------
% 4.68/1.29 % (3775916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775916)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775916)Termination reason: Instruction limit
% 4.68/1.29 % (3775916)Termination phase: SInE selection
% 4.68/1.29 % (3775916)Time elapsed: 0.039 s
% 4.68/1.29 % (3775916)Peak memory usage: 100 MB
% 4.68/1.29 % (3775916)Instructions burned: 157 (million)
% 4.68/1.29 % (3775917)Instruction limit reached!
% 4.68/1.29 % (3775917)------------------------------
% 4.68/1.29 % (3775917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775917)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775917)Termination reason: Instruction limit
% 4.68/1.29 % (3775917)Termination phase: Saturation
% 4.68/1.29 % (3775917)Time elapsed: 0.082 s
% 4.68/1.29 % (3775917)Peak memory usage: 104 MB
% 4.68/1.29 % (3775917)Instructions burned: 329 (million)
% 4.68/1.29 % (3775915)Instruction limit reached!
% 4.68/1.29 % (3775915)------------------------------
% 4.68/1.29 % (3775915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775915)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775915)Termination reason: Instruction limit
% 4.68/1.29 % (3775915)Termination phase: Saturation
% 4.68/1.29 % (3775915)Time elapsed: 0.110 s
% 4.68/1.29 % (3775915)Peak memory usage: 108 MB
% 4.68/1.29 % (3775915)Instructions burned: 287 (million)
% 4.68/1.29 % (3775921)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=1831677774:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 4.68/1.29 % (3775922)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1313655043:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.68/1.29 % (3775923)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2671299116:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 4.68/1.29 % (3775921)Instruction limit reached!
% 4.68/1.29 % (3775921)------------------------------
% 4.68/1.29 % (3775921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775921)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775921)Termination reason: Instruction limit
% 4.68/1.29 % (3775921)Termination phase: Preprocessing 1
% 4.68/1.29 % (3775921)Time elapsed: 0.081 s
% 4.68/1.29 % (3775921)Peak memory usage: 101 MB
% 4.68/1.29 % (3775921)Instructions burned: 249 (million)
% 4.68/1.29 % (3775924)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1498353894:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.68/1.29 % (3775922)First to succeed.
% 4.68/1.29 % (3775922)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3775896"
% 4.68/1.29 % (3775924)Instruction limit reached!
% 4.68/1.29 % (3775924)------------------------------
% 4.68/1.29 % (3775924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.29 % (3775924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.29 % (3775924)CaDiCaL version: 2.1.3
% 4.68/1.29 % (3775924)Termination reason: Instruction limit
% 4.68/1.29 % (3775924)Termination phase: Preprocessing 3
% 4.68/1.29 % (3775924)Time elapsed: 0.063 s
% 4.68/1.29 % (3775924)Peak memory usage: 103 MB
% 4.68/1.29 % (3775924)Instructions burned: 114 (million)
% 4.68/1.29 % (3775929)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1215917197:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 4.68/1.29 % (3775922)Refutation found. Thanks to Tanya!
% 4.68/1.29 % SZS status Theorem for theBenchmark
% 4.68/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 5.47/1.39 % (3775922)------------------------------
% 5.47/1.39 % (3775922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.39 % (3775922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.39 % (3775922)CaDiCaL version: 2.1.3
% 5.47/1.39 % (3775922)Termination reason: Refutation
% 5.47/1.39 % (3775922)Time elapsed: 0.094 s
% 5.47/1.39 % (3775922)Peak memory usage: 108 MB
% 5.47/1.39 % (3775922)Instructions burned: 263 (million)
% 5.47/1.39 % (3775922)------------------------------
% 5.47/1.39 % (3775922)------------------------------
% 5.47/1.39 % (3775896)Success in time 0.955 s
% 5.47/1.39 % Vampire exiting
%------------------------------------------------------------------------------