%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT026+2 : 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 6.12s 1.88s
% Output : Refutation 7.96s
% 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(f3782,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f3886,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(f3941,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(f4002,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(f4004,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(f4058,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(f4059,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(f4064,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(f4065,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)],[f4064]) ).
fof(f4091,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,[],[f4065]) ).
fof(f4092,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,[],[f4091]) ).
fof(f4121,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,[],[f3941]) ).
fof(f4122,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,[],[f4121]) ).
fof(f4123,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,[],[f3886]) ).
fof(f4124,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,[],[f4123]) ).
fof(f4137,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f3782]) ).
fof(f4138,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,[],[f4137]) ).
fof(f4145,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,[],[f4058]) ).
fof(f4146,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,[],[f4145]) ).
fof(f4151,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,[],[f4059]) ).
fof(f4152,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,[],[f4151]) ).
fof(f4933,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,[],[f4002]) ).
fof(f4934,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,[],[f4933]) ).
fof(f4939,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,[],[f4004]) ).
fof(f4940,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,[],[f4939]) ).
fof(f4971,plain,
( ( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k11_isocat_2(sK20,sK21,sK22,sK24))
| ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k12_isocat_2(sK20,sK21,sK22,sK24)) )
& r2_nattra_1(sK20,k11_cat_2(sK21,sK22),sK23,sK24)
& m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
& m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
& v2_cat_1(sK22)
& l1_cat_1(sK22)
& v2_cat_1(sK21)
& l1_cat_1(sK21)
& v2_cat_1(sK20)
& l1_cat_1(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24)],[f4092]) ).
fof(f5278,plain,
l1_cat_1(sK20),
inference(cnf_transformation,[],[f4971]) ).
fof(f5279,plain,
v2_cat_1(sK20),
inference(cnf_transformation,[],[f4971]) ).
fof(f5280,plain,
l1_cat_1(sK21),
inference(cnf_transformation,[],[f4971]) ).
fof(f5281,plain,
v2_cat_1(sK21),
inference(cnf_transformation,[],[f4971]) ).
fof(f5282,plain,
l1_cat_1(sK22),
inference(cnf_transformation,[],[f4971]) ).
fof(f5283,plain,
v2_cat_1(sK22),
inference(cnf_transformation,[],[f4971]) ).
fof(f5284,plain,
m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22)),
inference(cnf_transformation,[],[f4971]) ).
fof(f5285,plain,
m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22)),
inference(cnf_transformation,[],[f4971]) ).
fof(f5286,plain,
r2_nattra_1(sK20,k11_cat_2(sK21,sK22),sK23,sK24),
inference(cnf_transformation,[],[f4971]) ).
fof(f5287,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k11_isocat_2(sK20,sK21,sK22,sK24))
| ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k12_isocat_2(sK20,sK21,sK22,sK24)) ),
inference(cnf_transformation,[],[f4971]) ).
fof(f5316,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,[],[f4122]) ).
fof(f5317,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,[],[f4124]) ).
fof(f5337,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,[],[f4138]) ).
fof(f5338,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,[],[f4138]) ).
fof(f5343,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,[],[f4146]) ).
fof(f5346,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,[],[f4152]) ).
fof(f6356,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,[],[f4934]) ).
fof(f6359,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,[],[f4940]) ).
fof(f6664,definition,
( spl253_1
<=> r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k12_isocat_2(sK20,sK21,sK22,sK24)) ),
introduced(definition,[new_symbols(definition,[spl253_1])],[avatar_definition]) ).
fof(f6666,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k12_isocat_2(sK20,sK21,sK22,sK24))
| spl253_1 ),
inference(avatar_component_clause,[],[f6664]) ).
fof(f6668,definition,
( spl253_2
<=> r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k11_isocat_2(sK20,sK21,sK22,sK24)) ),
introduced(definition,[new_symbols(definition,[spl253_2])],[avatar_definition]) ).
fof(f6670,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k11_isocat_2(sK20,sK21,sK22,sK24))
| spl253_2 ),
inference(avatar_component_clause,[],[f6668]) ).
fof(f6671,plain,
( ~ spl253_1
| ~ spl253_2 ),
inference(avatar_split_clause,[],[f5287,f6668,f6664]) ).
fof(f6676,definition,
( spl253_3
<=> l1_cat_1(k11_cat_2(sK21,sK22)) ),
introduced(definition,[new_symbols(definition,[spl253_3])],[avatar_definition]) ).
fof(f6677,plain,
( l1_cat_1(k11_cat_2(sK21,sK22))
| ~ spl253_3 ),
inference(avatar_component_clause,[],[f6676]) ).
fof(f6678,plain,
( ~ l1_cat_1(k11_cat_2(sK21,sK22))
| spl253_3 ),
inference(avatar_component_clause,[],[f6676]) ).
fof(f6680,definition,
( spl253_4
<=> v2_cat_1(k11_cat_2(sK21,sK22)) ),
introduced(definition,[new_symbols(definition,[spl253_4])],[avatar_definition]) ).
fof(f6681,plain,
( v2_cat_1(k11_cat_2(sK21,sK22))
| ~ spl253_4 ),
inference(avatar_component_clause,[],[f6680]) ).
fof(f6682,plain,
( ~ v2_cat_1(k11_cat_2(sK21,sK22))
| spl253_4 ),
inference(avatar_component_clause,[],[f6680]) ).
fof(f6693,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(superposition,[],[f6666,f5346]) ).
fof(f6694,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6693,f5285]) ).
fof(f6697,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6694,f5283]) ).
fof(f6700,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6697,f5282]) ).
fof(f6703,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6700,f5281]) ).
fof(f6706,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6703,f5280]) ).
fof(f6720,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6706,f5279]) ).
fof(f6722,plain,
( ~ r2_nattra_1(sK20,sK22,k12_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6720,f5278]) ).
fof(f6724,plain,
( ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_3 ),
inference(resolution,[],[f6678,f5337]) ).
fof(f6725,plain,
( ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6724,f5281]) ).
fof(f6726,plain,
( ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6725,f5280]) ).
fof(f6727,plain,
( ~ l1_cat_1(sK22)
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6726,f5283]) ).
fof(f6728,plain,
( $false
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6727,f5282]) ).
fof(f6729,plain,
spl253_3,
inference(avatar_contradiction_clause,[],[f6728]) ).
fof(f6763,plain,
( ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_4 ),
inference(resolution,[],[f6682,f5338]) ).
fof(f6764,plain,
( ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_4 ),
inference(forward_subsumption_resolution,[],[f6763,f5281]) ).
fof(f6765,plain,
( ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_4 ),
inference(forward_subsumption_resolution,[],[f6764,f5280]) ).
fof(f6766,plain,
( ~ l1_cat_1(sK22)
| spl253_4 ),
inference(forward_subsumption_resolution,[],[f6765,f5283]) ).
fof(f6767,plain,
( $false
| spl253_4 ),
inference(forward_subsumption_resolution,[],[f6766,f5282]) ).
fof(f6768,plain,
spl253_4,
inference(avatar_contradiction_clause,[],[f6767]) ).
fof(f6979,definition,
( spl253_12
<=> m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22) ),
introduced(definition,[new_symbols(definition,[spl253_12])],[avatar_definition]) ).
fof(f6980,plain,
( m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ spl253_12 ),
inference(avatar_component_clause,[],[f6979]) ).
fof(f6981,plain,
( ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| spl253_12 ),
inference(avatar_component_clause,[],[f6979]) ).
fof(f6988,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(superposition,[],[f6722,f5346]) ).
fof(f6990,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6988,f5284]) ).
fof(f6992,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6990,f5283]) ).
fof(f6994,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6992,f5282]) ).
fof(f6996,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6994,f5281]) ).
fof(f6998,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6996,f5280]) ).
fof(f7000,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f6998,f5279]) ).
fof(f7002,plain,
( ~ r2_nattra_1(sK20,sK22,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK23,k9_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK22,sK24,k9_isocat_2(sK21,sK22)))
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f7000,f5278]) ).
fof(f7047,definition,
( spl253_17
<=> m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21) ),
introduced(definition,[new_symbols(definition,[spl253_17])],[avatar_definition]) ).
fof(f7048,plain,
( m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ spl253_17 ),
inference(avatar_component_clause,[],[f7047]) ).
fof(f7049,plain,
( ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| spl253_17 ),
inference(avatar_component_clause,[],[f7047]) ).
fof(f7070,plain,
( ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_17 ),
inference(resolution,[],[f7049,f6356]) ).
fof(f7071,plain,
( ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_17 ),
inference(forward_subsumption_resolution,[],[f7070,f5281]) ).
fof(f7072,plain,
( ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_17 ),
inference(forward_subsumption_resolution,[],[f7071,f5280]) ).
fof(f7073,plain,
( ~ l1_cat_1(sK22)
| spl253_17 ),
inference(forward_subsumption_resolution,[],[f7072,f5283]) ).
fof(f7074,plain,
( $false
| spl253_17 ),
inference(forward_subsumption_resolution,[],[f7073,f5282]) ).
fof(f7075,plain,
spl253_17,
inference(avatar_contradiction_clause,[],[f7074]) ).
fof(f7078,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(superposition,[],[f6670,f5343]) ).
fof(f7079,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7078,f5285]) ).
fof(f7081,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7079,f5283]) ).
fof(f7083,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7081,f5282]) ).
fof(f7085,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7083,f5281]) ).
fof(f7087,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7085,f5280]) ).
fof(f7089,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7087,f5279]) ).
fof(f7091,plain,
( ~ r2_nattra_1(sK20,sK21,k11_isocat_2(sK20,sK21,sK22,sK23),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7089,f5278]) ).
fof(f7096,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(superposition,[],[f7091,f5343]) ).
fof(f7098,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7096,f5284]) ).
fof(f7100,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7098,f5283]) ).
fof(f7102,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7100,f5282]) ).
fof(f7104,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7102,f5281]) ).
fof(f7106,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7104,f5280]) ).
fof(f7108,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7106,f5279]) ).
fof(f7110,plain,
( ~ r2_nattra_1(sK20,sK21,k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK23,k8_isocat_2(sK21,sK22)),k2_isocat_1(sK20,k11_cat_2(sK21,sK22),sK21,sK24,k8_isocat_2(sK21,sK22)))
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7108,f5278]) ).
fof(f7143,plain,
( ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_12 ),
inference(resolution,[],[f6981,f6359]) ).
fof(f7144,plain,
( ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_12 ),
inference(forward_subsumption_resolution,[],[f7143,f5281]) ).
fof(f7145,plain,
( ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_12 ),
inference(forward_subsumption_resolution,[],[f7144,f5280]) ).
fof(f7146,plain,
( ~ l1_cat_1(sK22)
| spl253_12 ),
inference(forward_subsumption_resolution,[],[f7145,f5283]) ).
fof(f7147,plain,
( $false
| spl253_12 ),
inference(forward_subsumption_resolution,[],[f7146,f5282]) ).
fof(f7148,plain,
spl253_12,
inference(avatar_contradiction_clause,[],[f7147]) ).
fof(f7281,plain,
( ~ r2_nattra_1(sK20,k11_cat_2(sK21,sK22),sK23,sK24)
| ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(resolution,[],[f7002,f5316]) ).
fof(f7285,plain,
( ~ r2_nattra_1(sK20,k11_cat_2(sK21,sK22),sK23,sK24)
| ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(duplicate_literal_removal,[],[f7281]) ).
fof(f7287,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1 ),
inference(forward_subsumption_resolution,[],[f7285,f5286]) ).
fof(f7289,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7287,f6980]) ).
fof(f7291,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7289,f5285]) ).
fof(f7293,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7291,f5284]) ).
fof(f7295,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ l1_cat_1(sK22)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7293,f5283]) ).
fof(f7297,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7295,f5282]) ).
fof(f7298,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7297,f6681]) ).
fof(f7299,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7298,f6677]) ).
fof(f7300,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| ~ l1_cat_1(sK20)
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7299,f5279]) ).
fof(f7301,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK22,k9_isocat_2(sK21,sK22),k9_isocat_2(sK21,sK22))
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7300,f5278]) ).
fof(f7309,plain,
( ~ r2_nattra_1(sK20,k11_cat_2(sK21,sK22),sK23,sK24)
| ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(resolution,[],[f7110,f5316]) ).
fof(f7313,plain,
( ~ r2_nattra_1(sK20,k11_cat_2(sK21,sK22),sK23,sK24)
| ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(duplicate_literal_removal,[],[f7309]) ).
fof(f7315,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2 ),
inference(forward_subsumption_resolution,[],[f7313,f5286]) ).
fof(f7317,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ m2_cat_1(sK24,sK20,k11_cat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7315,f7048]) ).
fof(f7319,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ m2_cat_1(sK23,sK20,k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7317,f5285]) ).
fof(f7321,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7319,f5284]) ).
fof(f7323,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7321,f5281]) ).
fof(f7325,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7323,f5280]) ).
fof(f7326,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7325,f6681]) ).
fof(f7327,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ v2_cat_1(sK20)
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7326,f6677]) ).
fof(f7328,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| ~ l1_cat_1(sK20)
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7327,f5279]) ).
fof(f7329,plain,
( ~ r2_nattra_1(k11_cat_2(sK21,sK22),sK21,k8_isocat_2(sK21,sK22),k8_isocat_2(sK21,sK22))
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7328,f5278]) ).
fof(f7419,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK22) )
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(resolution,[],[f7301,f5317]) ).
fof(f7423,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK22) )
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7419,f6681]) ).
fof(f7425,plain,
( ! [X0] :
( ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK22) )
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7423,f6677]) ).
fof(f7427,plain,
( ! [X0] :
( ~ l1_cat_1(sK22)
| ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK22) )
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7425,f5283]) ).
fof(f7429,plain,
( ! [X0] :
( ~ m2_cat_1(k9_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK22)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK22) )
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7427,f5282]) ).
fof(f7431,plain,
( ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK22)
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7429,f6980]) ).
fof(f7444,plain,
( ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(resolution,[],[f7431,f6359]) ).
fof(f7481,plain,
( ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7444,f5281]) ).
fof(f7498,plain,
( ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7481,f5280]) ).
fof(f7515,plain,
( ~ l1_cat_1(sK22)
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7498,f5283]) ).
fof(f7533,plain,
( $false
| spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(forward_subsumption_resolution,[],[f7515,f5282]) ).
fof(f7534,plain,
( spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(avatar_contradiction_clause,[],[f7533]) ).
fof(f7688,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK21,sK22))
| ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK21) )
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(resolution,[],[f7329,f5317]) ).
fof(f7692,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK21,sK22))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK21) )
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7688,f6681]) ).
fof(f7694,plain,
( ! [X0] :
( ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK21) )
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7692,f6677]) ).
fof(f7696,plain,
( ! [X0] :
( ~ l1_cat_1(sK21)
| ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK21) )
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7694,f5281]) ).
fof(f7698,plain,
( ! [X0] :
( ~ m2_cat_1(k8_isocat_2(sK21,sK22),k11_cat_2(sK21,sK22),sK21)
| ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK21) )
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7696,f5280]) ).
fof(f7700,plain,
( ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK21,sK22),sK21)
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7698,f7048]) ).
fof(f7721,plain,
( ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(resolution,[],[f7700,f6356]) ).
fof(f7758,plain,
( ~ l1_cat_1(sK21)
| ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7721,f5281]) ).
fof(f7775,plain,
( ~ v2_cat_1(sK22)
| ~ l1_cat_1(sK22)
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7758,f5280]) ).
fof(f7792,plain,
( ~ l1_cat_1(sK22)
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7775,f5283]) ).
fof(f7810,plain,
( $false
| spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(forward_subsumption_resolution,[],[f7792,f5282]) ).
fof(f7811,plain,
( spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(avatar_contradiction_clause,[],[f7810]) ).
cnf(s1,plain,
( ~ spl253_1
| ~ spl253_2 ),
inference(sat_conversion,[],[f6671]) ).
cnf(s4,plain,
spl253_3,
inference(sat_conversion,[],[f6729]) ).
cnf(s6,plain,
spl253_4,
inference(sat_conversion,[],[f6768]) ).
cnf(s14,plain,
spl253_17,
inference(sat_conversion,[],[f7075]) ).
cnf(s15,plain,
spl253_12,
inference(sat_conversion,[],[f7148]) ).
cnf(s19,plain,
( spl253_1
| ~ spl253_3
| ~ spl253_4
| ~ spl253_12 ),
inference(sat_conversion,[],[f7534]) ).
cnf(s29,plain,
( spl253_2
| ~ spl253_3
| ~ spl253_4
| ~ spl253_17 ),
inference(sat_conversion,[],[f7811]) ).
cnf(s33,plain,
spl253_2,
inference(rat,[],[s29,s14,s6,s4]) ).
cnf(s34,plain,
spl253_1,
inference(rat,[],[s19,s15,s6,s4]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s1,s33,s34]) ).
fof(f7813,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n002.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 21:20:58 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 6.12/1.88 % (777067)Detected formulas, will run a generic FOF schedule.
% 6.12/1.88 % (777072)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=1389450687:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 6.12/1.88 % (777073)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=2267621039:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 6.12/1.88 % (777076)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=335990969:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 6.12/1.88 % (777075)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1470488870:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 6.12/1.88 % (777077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3044681661:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 6.12/1.88 % (777074)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=554928296:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 6.12/1.88 % (777078)dis-21_1_sil=8000:lcm=predicate:random_seed=3393127581:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 6.12/1.88 % (777075)Refutation not found, incomplete strategy
% 6.12/1.88 % (777075)------------------------------
% 6.12/1.88 % (777075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777075)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777075)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.88 % (777075)Time elapsed: 0.018 s
% 6.12/1.88 % (777075)Peak memory usage: 93 MB
% 6.12/1.88 % (777075)Instructions burned: 22 (million)
% 6.12/1.88 % (777076)Instruction limit reached!
% 6.12/1.88 % (777076)------------------------------
% 6.12/1.88 % (777076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777076)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777076)Termination reason: Instruction limit
% 6.12/1.88 % (777076)Termination phase: Saturation
% 6.12/1.88 % (777076)Time elapsed: 0.083 s
% 6.12/1.88 % (777076)Peak memory usage: 93 MB
% 6.12/1.88 % (777076)Instructions burned: 121 (million)
% 6.12/1.88 % (777077)Instruction limit reached!
% 6.12/1.88 % (777077)------------------------------
% 6.12/1.88 % (777077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777077)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777077)Termination reason: Instruction limit
% 6.12/1.88 % (777077)Termination phase: Preprocessing 3
% 6.12/1.88 % (777077)Time elapsed: 0.087 s
% 6.12/1.88 % (777077)Peak memory usage: 94 MB
% 6.12/1.88 % (777077)Instructions burned: 139 (million)
% 6.12/1.88 % (777078)Instruction limit reached!
% 6.12/1.88 % (777078)------------------------------
% 6.12/1.88 % (777078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777078)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777078)Termination reason: Instruction limit
% 6.12/1.88 % (777078)Termination phase: Preprocessing 3
% 6.12/1.88 % (777078)Time elapsed: 0.088 s
% 6.12/1.88 % (777078)Peak memory usage: 94 MB
% 6.12/1.88 % (777078)Instructions burned: 130 (million)
% 6.12/1.88 % (777087)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3353631633:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.12/1.88 % (777086)lrs+10_1_sil=8000:sp=occurrence:random_seed=1464364215:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 6.12/1.88 % (777075)------------------------------
% 6.12/1.88 % (777075)------------------------------
% 6.12/1.88 % (777088)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4162391532:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.12/1.88 % (777087)Instruction limit reached!
% 6.12/1.88 % (777087)------------------------------
% 6.12/1.88 % (777087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777087)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777087)Termination reason: Instruction limit
% 6.12/1.88 % (777087)Termination phase: Saturation
% 6.12/1.88 % (777087)Time elapsed: 0.083 s
% 6.12/1.88 % (777087)Peak memory usage: 94 MB
% 6.12/1.88 % (777087)Instructions burned: 158 (million)
% 6.12/1.88 % (777088)Instruction limit reached!
% 6.12/1.88 % (777088)------------------------------
% 6.12/1.88 % (777088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777088)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777088)Termination reason: Instruction limit
% 6.12/1.88 % (777088)Termination phase: Saturation
% 6.12/1.88 % (777088)Time elapsed: 0.125 s
% 6.12/1.88 % (777088)Peak memory usage: 93 MB
% 6.12/1.88 % (777088)Instructions burned: 327 (million)
% 6.12/1.88 % (777086)Instruction limit reached!
% 6.12/1.88 % (777086)------------------------------
% 6.12/1.88 % (777086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777086)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777086)Termination reason: Instruction limit
% 6.12/1.88 % (777086)Termination phase: Saturation
% 6.12/1.88 % (777086)Time elapsed: 0.180 s
% 6.12/1.88 % (777086)Peak memory usage: 97 MB
% 6.12/1.88 % (777086)Instructions burned: 285 (million)
% 6.12/1.88 % (777092)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=1043750389:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.12/1.88 % (777093)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2778675069:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.12/1.88 % (777094)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1055302307:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 6.12/1.88 % (777093)First to succeed.
% 6.12/1.88 % (777095)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=472942891:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.12/1.88 % (777093)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-777067"
% 6.12/1.88 % (777092)Instruction limit reached!
% 6.12/1.88 % (777092)------------------------------
% 6.12/1.88 % (777092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777092)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777092)Termination reason: Instruction limit
% 6.12/1.88 % (777092)Termination phase: Property scanning
% 6.12/1.88 % (777092)Time elapsed: 0.148 s
% 6.12/1.88 % (777092)Peak memory usage: 99 MB
% 6.12/1.88 % (777092)Instructions burned: 248 (million)
% 6.12/1.88 % (777095)Instruction limit reached!
% 6.12/1.88 % (777095)------------------------------
% 6.12/1.88 % (777095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.88 % (777095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.88 % (777095)CaDiCaL version: 2.1.3
% 6.12/1.88 % (777095)Termination reason: Instruction limit
% 6.12/1.88 % (777095)Termination phase: Property scanning
% 6.12/1.88 % (777095)Time elapsed: 0.071 s
% 6.12/1.88 % (777095)Peak memory usage: 93 MB
% 6.12/1.88 % (777095)Instructions burned: 115 (million)
% 6.12/1.88 % (777100)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3283863807:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 6.12/1.88 % (777101)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3926452711:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 6.12/1.88 % (777093)Refutation found. Thanks to Tanya!
% 6.12/1.88 % SZS status Theorem for theBenchmark
% 6.12/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 7.96/2.08 % (777093)------------------------------
% 7.96/2.08 % (777093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.08 % (777093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.08 % (777093)CaDiCaL version: 2.1.3
% 7.96/2.08 % (777093)Termination reason: Refutation
% 7.96/2.08 % (777093)Time elapsed: 0.105 s
% 7.96/2.08 % (777093)Peak memory usage: 97 MB
% 7.96/2.08 % (777093)Instructions burned: 174 (million)
% 7.96/2.08 % (777093)------------------------------
% 7.96/2.08 % (777093)------------------------------
% 7.96/2.08 % (777067)Success in time 1.191 s
% 7.96/2.08 % Vampire exiting
%------------------------------------------------------------------------------