%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT028+1 : 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 09:36:44 AM UTC 2026
% Result : Theorem 4.98s 1.92s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 34
% Syntax : Number of formulae : 281 ( 89 unt; 24 def)
% Number of atoms : 1175 ( 134 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1649 ( 755 ~; 752 |; 85 &)
% ( 5 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-6 aty)
% Number of functors : 39 ( 39 usr; 27 con; 0-7 aty)
% Number of variables : 288 ( 0 sgn 272 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
=> ( ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5) )
=> ! [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
=> ! [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
=> ( r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7)))
& r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_isocat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
=> ( ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5) )
=> ! [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
=> ! [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
=> ( r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7)))
& r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f30,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(f31,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(f48,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(f55,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( 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)
& m2_cat_1(X4,X0,X1)
& m2_nattra_1(X5,X0,X1,X2,X3)
& m2_nattra_1(X6,X0,X1,X3,X4) )
=> m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_nattra_1) ).
fof(f61,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(f62,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(f63,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))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
=> k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_isocat_2) ).
fof(f64,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))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
=> k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_isocat_2) ).
fof(f65,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,X1,X2)
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X0)
=> ! [X7] :
( m2_nattra_1(X7,X1,X2,X3,X4)
=> ! [X8] :
( m2_nattra_1(X8,X1,X2,X4,X5)
=> ( ( r2_nattra_1(X1,X2,X3,X4)
& r2_nattra_1(X1,X2,X4,X5) )
=> r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_isocat_1) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5) )
& m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& m2_cat_1(X5,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5) )
& m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& m2_cat_1(X5,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f68]) ).
fof(f94,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,[],[f30]) ).
fof(f95,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,[],[f94]) ).
fof(f96,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,[],[f31]) ).
fof(f97,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,[],[f96]) ).
fof(f118,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,[],[f48]) ).
fof(f119,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,[],[f118]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4)
| ~ 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)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_nattra_1(X6,X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f55]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4)
| ~ 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)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_nattra_1(X6,X0,X1,X3,X4) ),
inference(flattening,[],[f132]) ).
fof(f140,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,[],[f61]) ).
fof(f141,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,[],[f140]) ).
fof(f142,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,[],[f62]) ).
fof(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,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,[],[f63]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,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,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,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,[],[f64]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,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,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6)))
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ m2_nattra_1(X8,X1,X2,X4,X5) )
| ~ m2_nattra_1(X7,X1,X2,X3,X4) )
| ~ m2_cat_1(X6,X2,X0) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X1,X2) )
| ~ m2_cat_1(X3,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,[],[f65]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6)))
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ m2_nattra_1(X8,X1,X2,X4,X5) )
| ~ m2_nattra_1(X7,X1,X2,X3,X4) )
| ~ m2_cat_1(X6,X2,X0) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X1,X2) )
| ~ m2_cat_1(X3,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,[],[f148]) ).
fof(f150,plain,
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) )
& m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5)
& m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
& m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& v2_cat_1(sK2)
& l1_cat_1(sK2)
& v2_cat_1(sK1)
& l1_cat_1(sK1)
& v2_cat_1(sK0)
& l1_cat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f69]) ).
fof(f164,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f150]) ).
fof(f165,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f150]) ).
fof(f166,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f150]) ).
fof(f167,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f150]) ).
fof(f168,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f150]) ).
fof(f169,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f150]) ).
fof(f170,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f150]) ).
fof(f171,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f150]) ).
fof(f172,plain,
m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f150]) ).
fof(f173,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f150]) ).
fof(f174,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f150]) ).
fof(f175,plain,
m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f150]) ).
fof(f176,plain,
m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f150]) ).
fof(f177,plain,
( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f204,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,[],[f95]) ).
fof(f205,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,[],[f97]) ).
fof(f224,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,[],[f119]) ).
fof(f225,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,[],[f119]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4)
| ~ 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)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_nattra_1(X6,X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f133]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( ~ 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))
| ~ 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,[],[f141]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ 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))
| ~ 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,[],[f143]) ).
fof(f241,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f242,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f243,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6)))
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ m2_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_nattra_1(X7,X1,X2,X3,X4)
| ~ m2_cat_1(X6,X2,X0)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,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,[],[f149]) ).
fof(f245,definition,
sF19 = u1_cat_1(sK0),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f246,plain,
u1_cat_1(sK0) = sF19,
inference(reorient_equations,[],[f245]) ).
fof(f247,definition,
sF20 = u2_cat_1(sK1),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f248,plain,
u2_cat_1(sK1) = sF20,
inference(reorient_equations,[],[f247]) ).
fof(f249,definition,
sF21 = k11_cat_2(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f250,plain,
k11_cat_2(sK1,sK2) = sF21,
inference(reorient_equations,[],[f249]) ).
fof(f251,definition,
sF22 = k8_nattra_1(sK0,sF21,sK3,sK4,sK5,sK6,sK7),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f252,plain,
k8_nattra_1(sK0,sF21,sK3,sK4,sK5,sK6,sK7) = sF22,
inference(reorient_equations,[],[f251]) ).
fof(f253,definition,
sF23 = k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f254,plain,
k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = sF23,
inference(reorient_equations,[],[f253]) ).
fof(f255,definition,
sF24 = k11_isocat_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f256,plain,
k11_isocat_2(sK0,sK1,sK2,sK3) = sF24,
inference(reorient_equations,[],[f255]) ).
fof(f257,definition,
sF25 = k11_isocat_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f258,plain,
k11_isocat_2(sK0,sK1,sK2,sK4) = sF25,
inference(reorient_equations,[],[f257]) ).
fof(f259,definition,
sF26 = k11_isocat_2(sK0,sK1,sK2,sK5),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f260,plain,
k11_isocat_2(sK0,sK1,sK2,sK5) = sF26,
inference(reorient_equations,[],[f259]) ).
fof(f261,definition,
sF27 = k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f262,plain,
k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = sF27,
inference(reorient_equations,[],[f261]) ).
fof(f263,definition,
sF28 = k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f264,plain,
k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = sF28,
inference(reorient_equations,[],[f263]) ).
fof(f265,definition,
sF29 = k8_nattra_1(sK0,sK1,sF24,sF25,sF26,sF27,sF28),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f266,plain,
k8_nattra_1(sK0,sK1,sF24,sF25,sF26,sF27,sF28) = sF29,
inference(reorient_equations,[],[f265]) ).
fof(f267,definition,
sF30 = u2_cat_1(sK2),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f268,plain,
u2_cat_1(sK2) = sF30,
inference(reorient_equations,[],[f267]) ).
fof(f269,definition,
sF31 = k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f270,plain,
k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = sF31,
inference(reorient_equations,[],[f269]) ).
fof(f271,definition,
sF32 = k12_isocat_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f272,plain,
k12_isocat_2(sK0,sK1,sK2,sK3) = sF32,
inference(reorient_equations,[],[f271]) ).
fof(f273,definition,
sF33 = k12_isocat_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f274,plain,
k12_isocat_2(sK0,sK1,sK2,sK4) = sF33,
inference(reorient_equations,[],[f273]) ).
fof(f275,definition,
sF34 = k12_isocat_2(sK0,sK1,sK2,sK5),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f276,plain,
k12_isocat_2(sK0,sK1,sK2,sK5) = sF34,
inference(reorient_equations,[],[f275]) ).
fof(f277,definition,
sF35 = k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f278,plain,
k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = sF35,
inference(reorient_equations,[],[f277]) ).
fof(f279,definition,
sF36 = k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f280,plain,
k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = sF36,
inference(reorient_equations,[],[f279]) ).
fof(f281,definition,
sF37 = k8_nattra_1(sK0,sK2,sF32,sF33,sF34,sF35,sF36),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f282,plain,
k8_nattra_1(sK0,sK2,sF32,sF33,sF34,sF35,sF36) = sF37,
inference(reorient_equations,[],[f281]) ).
fof(f283,plain,
( ~ r4_nattra_1(sF19,sF20,sF19,sF20,sF23,sF29)
| ~ r4_nattra_1(sF19,sF30,sF19,sF30,sF31,sF37) ),
inference(definition_folding,[],[f177,f282,f280,f278,f276,f274,f272,f270,f252,f250,f268,f246,f268,f246,f266,f264,f262,f260,f258,f256,f254,f252,f250,f248,f246,f248,f246]) ).
fof(f284,plain,
m2_nattra_1(sK7,sK0,sF21,sK4,sK5),
inference(definition_folding,[],[f176,f250]) ).
fof(f285,plain,
m2_nattra_1(sK6,sK0,sF21,sK3,sK4),
inference(definition_folding,[],[f175,f250]) ).
fof(f286,plain,
r2_nattra_1(sK0,sF21,sK3,sK4),
inference(definition_folding,[],[f174,f250]) ).
fof(f287,plain,
r2_nattra_1(sK0,sF21,sK4,sK5),
inference(definition_folding,[],[f173,f250]) ).
fof(f288,plain,
m2_cat_1(sK5,sK0,sF21),
inference(definition_folding,[],[f172,f250]) ).
fof(f289,plain,
m2_cat_1(sK4,sK0,sF21),
inference(definition_folding,[],[f171,f250]) ).
fof(f290,plain,
m2_cat_1(sK3,sK0,sF21),
inference(definition_folding,[],[f170,f250]) ).
fof(f293,definition,
( spl38_1
<=> r4_nattra_1(sF19,sF30,sF19,sF30,sF31,sF37) ),
introduced(definition,[new_symbols(definition,[spl38_1])],[avatar_definition]) ).
fof(f295,plain,
( ~ r4_nattra_1(sF19,sF30,sF19,sF30,sF31,sF37)
| spl38_1 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl38_2
<=> r4_nattra_1(sF19,sF20,sF19,sF20,sF23,sF29) ),
introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition]) ).
fof(f299,plain,
( ~ r4_nattra_1(sF19,sF20,sF19,sF20,sF23,sF29)
| spl38_2 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( ~ spl38_1
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f283,f297,f293]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k13_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK1,X2,X3,X0,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(superposition,[],[f241,f250]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k13_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK1,X2,X3,X0,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f313,f169]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k13_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK1,X2,X3,X0,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f314,f168]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k13_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK1,X2,X3,X0,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f315,f167]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k13_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK1,X2,X3,X0,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f316,f166]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k14_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK2,X2,X3,X0,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(superposition,[],[f242,f250]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k14_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK2,X2,X3,X0,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f318,f169]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k14_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK2,X2,X3,X0,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f319,f168]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k14_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK2,X2,X3,X0,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f320,f167]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ m2_nattra_1(X0,X1,sF21,X2,X3)
| k14_isocat_2(X1,sK1,sK2,X2,X3,X0) = k6_isocat_1(X1,sF21,sK2,X2,X3,X0,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sF21)
| ~ m2_cat_1(X2,X1,sF21)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f321,f166]) ).
fof(f323,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f317,f285]) ).
fof(f324,plain,
( k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f317,f284]) ).
fof(f325,plain,
( k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f324,f288]) ).
fof(f326,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f323,f289]) ).
fof(f327,plain,
( k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f325,f289]) ).
fof(f328,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f326,f290]) ).
fof(f329,plain,
( k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f327,f165]) ).
fof(f330,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f328,f165]) ).
fof(f331,plain,
k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f329,f164]) ).
fof(f332,plain,
k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f330,f164]) ).
fof(f333,plain,
sF28 = k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f331,f264]) ).
fof(f334,plain,
sF27 = k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f332,f262]) ).
fof(f335,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f322,f285]) ).
fof(f336,plain,
( k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f322,f284]) ).
fof(f337,plain,
( k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f336,f288]) ).
fof(f338,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f335,f289]) ).
fof(f339,plain,
( k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f337,f289]) ).
fof(f340,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f338,f290]) ).
fof(f341,plain,
( k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f339,f165]) ).
fof(f342,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f340,f165]) ).
fof(f343,plain,
k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f341,f164]) ).
fof(f344,plain,
k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f342,f164]) ).
fof(f345,plain,
sF36 = k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f343,f280]) ).
fof(f346,plain,
sF35 = k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f344,f278]) ).
fof(f363,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(superposition,[],[f239,f250]) ).
fof(f364,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f363,f169]) ).
fof(f365,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f364,f168]) ).
fof(f366,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f365,f167]) ).
fof(f367,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k11_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f366,f166]) ).
fof(f368,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f367,f289]) ).
fof(f369,plain,
( k11_isocat_2(sK0,sK1,sK2,sK5) = k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f367,f288]) ).
fof(f370,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f367,f290]) ).
fof(f371,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f370,f165]) ).
fof(f372,plain,
( k11_isocat_2(sK0,sK1,sK2,sK5) = k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f369,f165]) ).
fof(f373,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f368,f165]) ).
fof(f374,plain,
k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f371,f164]) ).
fof(f375,plain,
k11_isocat_2(sK0,sK1,sK2,sK5) = k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f372,f164]) ).
fof(f376,plain,
k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f373,f164]) ).
fof(f377,plain,
sF24 = k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f374,f256]) ).
fof(f378,plain,
sF26 = k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f375,f260]) ).
fof(f379,plain,
sF25 = k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f376,f258]) ).
fof(f380,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(superposition,[],[f240,f250]) ).
fof(f381,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f380,f169]) ).
fof(f382,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f381,f168]) ).
fof(f383,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f382,f167]) ).
fof(f384,plain,
! [X0,X1] :
( ~ m2_cat_1(X0,X1,sF21)
| k12_isocat_2(X1,sK1,sK2,X0) = k2_isocat_1(X1,sF21,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f383,f166]) ).
fof(f385,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f384,f289]) ).
fof(f386,plain,
( k12_isocat_2(sK0,sK1,sK2,sK5) = k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f384,f288]) ).
fof(f387,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f384,f290]) ).
fof(f388,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f387,f165]) ).
fof(f389,plain,
( k12_isocat_2(sK0,sK1,sK2,sK5) = k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f386,f165]) ).
fof(f390,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f385,f165]) ).
fof(f391,plain,
k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f388,f164]) ).
fof(f392,plain,
k12_isocat_2(sK0,sK1,sK2,sK5) = k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f389,f164]) ).
fof(f393,plain,
k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f390,f164]) ).
fof(f394,plain,
sF32 = k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f391,f272]) ).
fof(f395,plain,
sF34 = k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f392,f276]) ).
fof(f396,plain,
sF33 = k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),
inference(forward_demodulation,[],[f393,f274]) ).
fof(f418,definition,
( spl38_3
<=> l1_cat_1(sF21) ),
introduced(definition,[new_symbols(definition,[spl38_3])],[avatar_definition]) ).
fof(f419,plain,
( l1_cat_1(sF21)
| ~ spl38_3 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( ~ l1_cat_1(sF21)
| spl38_3 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f422,definition,
( spl38_4
<=> v2_cat_1(sF21) ),
introduced(definition,[new_symbols(definition,[spl38_4])],[avatar_definition]) ).
fof(f423,plain,
( v2_cat_1(sF21)
| ~ spl38_4 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( ~ v2_cat_1(sF21)
| spl38_4 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f470,plain,
( l1_cat_1(sF21)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f224,f250]) ).
fof(f471,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_3 ),
inference(forward_subsumption_resolution,[],[f470,f420]) ).
fof(f472,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_3 ),
inference(forward_subsumption_resolution,[],[f471,f167]) ).
fof(f473,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_3 ),
inference(forward_subsumption_resolution,[],[f472,f166]) ).
fof(f474,plain,
( ~ l1_cat_1(sK2)
| spl38_3 ),
inference(forward_subsumption_resolution,[],[f473,f169]) ).
fof(f475,plain,
( $false
| spl38_3 ),
inference(forward_subsumption_resolution,[],[f474,f168]) ).
fof(f476,plain,
spl38_3,
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f477,plain,
( v2_cat_1(sF21)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f225,f250]) ).
fof(f478,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_4 ),
inference(forward_subsumption_resolution,[],[f477,f424]) ).
fof(f479,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_4 ),
inference(forward_subsumption_resolution,[],[f478,f167]) ).
fof(f480,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_4 ),
inference(forward_subsumption_resolution,[],[f479,f166]) ).
fof(f481,plain,
( ~ l1_cat_1(sK2)
| spl38_4 ),
inference(forward_subsumption_resolution,[],[f480,f169]) ).
fof(f482,plain,
( $false
| spl38_4 ),
inference(forward_subsumption_resolution,[],[f481,f168]) ).
fof(f483,plain,
spl38_4,
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f612,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5) ),
inference(superposition,[],[f232,f252]) ).
fof(f617,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f612,f165]) ).
fof(f624,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f617,f164]) ).
fof(f631,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f624,f423]) ).
fof(f634,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f631,f419]) ).
fof(f637,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f634,f290]) ).
fof(f640,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f637,f289]) ).
fof(f643,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f640,f288]) ).
fof(f646,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f643,f285]) ).
fof(f673,plain,
( m2_nattra_1(sF22,sK0,sF21,sK3,sK5)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f646,f284]) ).
fof(f674,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK2,sK3,sK5,sF22,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(resolution,[],[f673,f322]) ).
fof(f675,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK1,sK3,sK5,sF22,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(resolution,[],[f673,f317]) ).
fof(f676,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK1,sK3,sK5,sF22,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f675,f288]) ).
fof(f677,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK2,sK3,sK5,sF22,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f674,f288]) ).
fof(f678,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK1,sK3,sK5,sF22,k8_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f676,f290]) ).
fof(f679,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK2,sK3,sK5,sF22,k9_isocat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f677,f290]) ).
fof(f680,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK1,sK3,sK5,sF22,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f678,f165]) ).
fof(f681,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK2,sK3,sK5,sF22,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f679,f165]) ).
fof(f682,plain,
( k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK1,sK3,sK5,sF22,k8_isocat_2(sK1,sK2))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f680,f164]) ).
fof(f683,plain,
( k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sF22) = k6_isocat_1(sK0,sF21,sK2,sK3,sK5,sF22,k9_isocat_2(sK1,sK2))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f681,f164]) ).
fof(f684,plain,
( sF23 = k6_isocat_1(sK0,sF21,sK1,sK3,sK5,sF22,k8_isocat_2(sK1,sK2))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f682,f254]) ).
fof(f685,plain,
( sF31 = k6_isocat_1(sK0,sF21,sK2,sK3,sK5,sF22,k9_isocat_2(sK1,sK2))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f683,f270]) ).
fof(f1088,plain,
( m2_cat_1(k9_isocat_2(sK1,sK2),sF21,sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f205,f250]) ).
fof(f1090,plain,
( m2_cat_1(k9_isocat_2(sK1,sK2),sF21,sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f1088,f167]) ).
fof(f1096,plain,
( m2_cat_1(k9_isocat_2(sK1,sK2),sF21,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f1090,f166]) ).
fof(f1102,plain,
( m2_cat_1(k9_isocat_2(sK1,sK2),sF21,sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f1096,f169]) ).
fof(f1103,plain,
m2_cat_1(k9_isocat_2(sK1,sK2),sF21,sK2),
inference(forward_subsumption_resolution,[],[f1102,f168]) ).
fof(f1114,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ r2_nattra_1(sK0,sF21,sK3,sK4)
| ~ r2_nattra_1(sK0,sF21,sK4,sK5)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_cat_1(X1,sF21,X0)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(superposition,[],[f243,f252]) ).
fof(f1175,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ r2_nattra_1(sK0,sF21,sK4,sK5)
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_cat_1(X1,sF21,X0)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1114,f286]) ).
fof(f1211,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_nattra_1(sK7,sK0,sF21,sK4,sK5)
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_cat_1(X1,sF21,X0)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1175,f287]) ).
fof(f1247,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_nattra_1(sK6,sK0,sF21,sK3,sK4)
| ~ m2_cat_1(X1,sF21,X0)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1211,f284]) ).
fof(f1280,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ m2_cat_1(sK5,sK0,sF21)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1247,f285]) ).
fof(f1313,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ m2_cat_1(sK4,sK0,sF21)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1280,f288]) ).
fof(f1346,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ m2_cat_1(sK3,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1313,f289]) ).
fof(f1379,plain,
! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1346,f290]) ).
fof(f1412,plain,
( ! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1379,f423]) ).
fof(f1445,plain,
( ! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1412,f419]) ).
fof(f1464,definition,
( spl38_13
<=> m2_cat_1(k8_isocat_2(sK1,sK2),sF21,sK1) ),
introduced(definition,[new_symbols(definition,[spl38_13])],[avatar_definition]) ).
fof(f1465,plain,
( m2_cat_1(k8_isocat_2(sK1,sK2),sF21,sK1)
| ~ spl38_13 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1466,plain,
( ~ m2_cat_1(k8_isocat_2(sK1,sK2),sF21,sK1)
| spl38_13 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1509,plain,
( ! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1445,f165]) ).
fof(f1524,plain,
( ! [X0,X1] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X0),u1_cat_1(sK0),u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1509,f164]) ).
fof(f1561,plain,
( ! [X0,X1] :
( r4_nattra_1(sF19,u2_cat_1(X0),sF19,u2_cat_1(X0),k6_isocat_1(sK0,sF21,X0,sK3,sK5,sF22,X1),k8_nattra_1(sK0,X0,k2_isocat_1(sK0,sF21,X0,sK3,X1),k2_isocat_1(sK0,sF21,X0,sK4,X1),k2_isocat_1(sK0,sF21,X0,sK5,X1),k6_isocat_1(sK0,sF21,X0,sK3,sK4,sK6,X1),k6_isocat_1(sK0,sF21,X0,sK4,sK5,sK7,X1)))
| ~ m2_cat_1(X1,sF21,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1524,f246]) ).
fof(f1776,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),sF21,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl38_3
| ~ spl38_4 ),
inference(superposition,[],[f1561,f684]) ).
fof(f1777,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),sF21,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ spl38_3
| ~ spl38_4 ),
inference(superposition,[],[f1561,f685]) ).
fof(f1793,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1777,f1103]) ).
fof(f1801,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))))
| ~ l1_cat_1(sK2)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1793,f169]) ).
fof(f1809,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1801,f168]) ).
fof(f1815,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),sF36))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1809,f345]) ).
fof(f1821,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK5,k9_isocat_2(sK1,sK2)),sF35,sF36))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1815,f346]) ).
fof(f1827,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK2,sK4,k9_isocat_2(sK1,sK2)),sF34,sF35,sF36))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1821,f395]) ).
fof(f1833,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sF21,sK2,sK3,k9_isocat_2(sK1,sK2)),sF33,sF34,sF35,sF36))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1827,f396]) ).
fof(f1839,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,k8_nattra_1(sK0,sK2,sF32,sF33,sF34,sF35,sF36))
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1833,f394]) ).
fof(f1845,plain,
( r4_nattra_1(sF19,u2_cat_1(sK2),sF19,u2_cat_1(sK2),sF31,sF37)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1839,f282]) ).
fof(f1851,plain,
( r4_nattra_1(sF19,sF30,sF19,sF30,sF31,sF37)
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_demodulation,[],[f1845,f268]) ).
fof(f1862,plain,
( $false
| spl38_1
| ~ spl38_3
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f1851,f295]) ).
fof(f1863,plain,
( spl38_1
| ~ spl38_3
| ~ spl38_4 ),
inference(avatar_contradiction_clause,[],[f1862]) ).
fof(f1927,plain,
( m2_cat_1(k8_isocat_2(sK1,sK2),sF21,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f204,f250]) ).
fof(f1929,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_13 ),
inference(forward_subsumption_resolution,[],[f1927,f1466]) ).
fof(f1935,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_13 ),
inference(forward_subsumption_resolution,[],[f1929,f167]) ).
fof(f1941,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl38_13 ),
inference(forward_subsumption_resolution,[],[f1935,f166]) ).
fof(f1942,plain,
( ~ l1_cat_1(sK2)
| spl38_13 ),
inference(forward_subsumption_resolution,[],[f1941,f169]) ).
fof(f1943,plain,
( $false
| spl38_13 ),
inference(forward_subsumption_resolution,[],[f1942,f168]) ).
fof(f1944,plain,
spl38_13,
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1963,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_subsumption_resolution,[],[f1776,f1465]) ).
fof(f1988,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))))
| ~ l1_cat_1(sK1)
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_subsumption_resolution,[],[f1963,f167]) ).
fof(f2013,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))))
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_subsumption_resolution,[],[f1988,f166]) ).
fof(f2038,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sF21,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),sF28))
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_demodulation,[],[f2013,f333]) ).
fof(f2063,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK5,k8_isocat_2(sK1,sK2)),sF27,sF28))
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_demodulation,[],[f2038,f334]) ).
fof(f2088,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sF21,sK1,sK4,k8_isocat_2(sK1,sK2)),sF26,sF27,sF28))
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_demodulation,[],[f2063,f378]) ).
fof(f2113,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sF21,sK1,sK3,k8_isocat_2(sK1,sK2)),sF25,sF26,sF27,sF28))
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_demodulation,[],[f2088,f379]) ).
fof(f2129,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,k8_nattra_1(sK0,sK1,sF24,sF25,sF26,sF27,sF28))
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_demodulation,[],[f2113,f377]) ).
fof(f2151,plain,
( r4_nattra_1(sF19,u2_cat_1(sK1),sF19,u2_cat_1(sK1),sF23,sF29)
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_demodulation,[],[f2129,f266]) ).
fof(f2161,plain,
( r4_nattra_1(sF19,sF20,sF19,sF20,sF23,sF29)
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_demodulation,[],[f2151,f248]) ).
fof(f2176,plain,
( $false
| spl38_2
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(forward_subsumption_resolution,[],[f2161,f299]) ).
fof(f2177,plain,
( spl38_2
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(avatar_contradiction_clause,[],[f2176]) ).
cnf(s1,plain,
( ~ spl38_1
| ~ spl38_2 ),
inference(sat_conversion,[],[f300]) ).
cnf(s4,plain,
spl38_3,
inference(sat_conversion,[],[f476]) ).
cnf(s5,plain,
spl38_4,
inference(sat_conversion,[],[f483]) ).
cnf(s36,plain,
( spl38_1
| ~ spl38_3
| ~ spl38_4 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s37,plain,
spl38_13,
inference(sat_conversion,[],[f1944]) ).
cnf(s49,plain,
( spl38_2
| ~ spl38_3
| ~ spl38_4
| ~ spl38_13 ),
inference(sat_conversion,[],[f2177]) ).
cnf(s67,plain,
spl38_2,
inference(rat,[],[s49,s37,s5,s4]) ).
cnf(s68,plain,
spl38_1,
inference(rat,[],[s36,s5,s4]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s1,s67,s68]) ).
fof(f2182,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.15 % Computer : n012.cluster.edu
% 0.08/0.15 % Model : x86_64 x86_64
% 0.08/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.15 % Memory : 8046.5625MB
% 0.08/0.15 % OS : Linux 6.8.0-71-generic
% 0.08/0.15 % CPULimit : 300
% 0.08/0.15 % WCLimit : 300
% 0.08/0.15 % DateTime : Mon Sep 28 21:18:34 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 Running first-order theorem proving
% 0.08/0.18 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
% 4.98/1.92 % (3777775)Detected formulas, will run a generic FOF schedule.
% 4.98/1.92 % (3777782)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=4291190245:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.98/1.92 % (3777786)dis-21_1_sil=8000:lcm=predicate:random_seed=1848754009:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.98/1.92 % (3777781)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=1096676375:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.98/1.92 % (3777783)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1770172827:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.98/1.92 % (3777784)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=324132719:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.98/1.92 % (3777780)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=2727835379:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.98/1.92 % (3777785)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2797148188:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.98/1.92 % (3777783)Refutation not found, incomplete strategy
% 4.98/1.92 % (3777783)------------------------------
% 4.98/1.92 % (3777783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777783)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777783)Termination reason: Refutation not found, incomplete strategy
% 4.98/1.92 % (3777783)Time elapsed: 0.023 s
% 4.98/1.92 % (3777783)Peak memory usage: 89 MB
% 4.98/1.92 % (3777783)Instructions burned: 53 (million)
% 4.98/1.92 % (3777784)Instruction limit reached!
% 4.98/1.92 % (3777784)------------------------------
% 4.98/1.92 % (3777784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777784)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777784)Termination reason: Instruction limit
% 4.98/1.92 % (3777784)Termination phase: Saturation
% 4.98/1.92 % (3777784)Time elapsed: 0.049 s
% 4.98/1.92 % (3777784)Peak memory usage: 88 MB
% 4.98/1.92 % (3777784)Instructions burned: 122 (million)
% 4.98/1.92 % (3777786)Instruction limit reached!
% 4.98/1.92 % (3777786)------------------------------
% 4.98/1.92 % (3777786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777786)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777786)Termination reason: Instruction limit
% 4.98/1.92 % (3777786)Termination phase: Saturation
% 4.98/1.92 % (3777786)Time elapsed: 0.064 s
% 4.98/1.92 % (3777786)Peak memory usage: 89 MB
% 4.98/1.92 % (3777786)Instructions burned: 132 (million)
% 4.98/1.92 % (3777785)Instruction limit reached!
% 4.98/1.92 % (3777785)------------------------------
% 4.98/1.92 % (3777785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777785)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777785)Termination reason: Instruction limit
% 4.98/1.92 % (3777785)Termination phase: Saturation
% 4.98/1.92 % (3777785)Time elapsed: 0.073 s
% 4.98/1.92 % (3777785)Peak memory usage: 89 MB
% 4.98/1.92 % (3777785)Instructions burned: 139 (million)
% 4.98/1.92 % (3777795)lrs+10_1_sil=32000:urr=on:br=off:random_seed=868338317:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.98/1.92 % (3777794)lrs+10_1_sil=8000:sp=occurrence:random_seed=2713424021:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.98/1.92 % (3777795)Instruction limit reached!
% 4.98/1.92 % (3777795)------------------------------
% 4.98/1.92 % (3777795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777795)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777795)Termination reason: Instruction limit
% 4.98/1.92 % (3777795)Termination phase: Saturation
% 4.98/1.92 % (3777795)Time elapsed: 0.046 s
% 4.98/1.92 % (3777795)Peak memory usage: 91 MB
% 4.98/1.92 % (3777795)Instructions burned: 160 (million)
% 4.98/1.92 % (3777783)------------------------------
% 4.98/1.92 % (3777783)------------------------------
% 4.98/1.92 % (3777796)lrs+1011_1_sil=32000:sp=occurrence:random_seed=804098559:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.98/1.92 % (3777794)Instruction limit reached!
% 4.98/1.92 % (3777794)------------------------------
% 4.98/1.92 % (3777794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777794)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777794)Termination reason: Instruction limit
% 4.98/1.92 % (3777794)Termination phase: Saturation
% 4.98/1.92 % (3777794)Time elapsed: 0.123 s
% 4.98/1.92 % (3777794)Peak memory usage: 90 MB
% 4.98/1.92 % (3777794)Instructions burned: 287 (million)
% 4.98/1.92 % (3777796)Instruction limit reached!
% 4.98/1.92 % (3777796)------------------------------
% 4.98/1.92 % (3777796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777796)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777796)Termination reason: Instruction limit
% 4.98/1.92 % (3777796)Termination phase: Saturation
% 4.98/1.92 % (3777796)Time elapsed: 0.159 s
% 4.98/1.92 % (3777796)Peak memory usage: 93 MB
% 4.98/1.92 % (3777796)Instructions burned: 327 (million)
% 4.98/1.92 % (3777799)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=3632183497:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.98/1.92 % (3777800)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3210813030:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.98/1.92 % (3777802)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2331274084:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.98/1.92 % (3777800)Refutation not found, incomplete strategy
% 4.98/1.92 % (3777800)------------------------------
% 4.98/1.92 % (3777800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777800)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777800)Termination reason: Refutation not found, incomplete strategy
% 4.98/1.92 % (3777800)Time elapsed: 0.012 s
% 4.98/1.92 % (3777800)Peak memory usage: 89 MB
% 4.98/1.92 % (3777800)Instructions burned: 24 (million)
% 4.98/1.92 % (3777799)Instruction limit reached!
% 4.98/1.92 % (3777799)------------------------------
% 4.98/1.92 % (3777799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777799)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777799)Termination reason: Instruction limit
% 4.98/1.92 % (3777799)Termination phase: Saturation
% 4.98/1.92 % (3777799)Time elapsed: 0.114 s
% 4.98/1.92 % (3777799)Peak memory usage: 92 MB
% 4.98/1.92 % (3777799)Instructions burned: 249 (million)
% 4.98/1.92 % (3777804)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=203199250:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.98/1.92 % (3777800)------------------------------
% 4.98/1.92 % (3777800)------------------------------
% 4.98/1.92 % (3777804)Instruction limit reached!
% 4.98/1.92 % (3777804)------------------------------
% 4.98/1.92 % (3777804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777804)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777804)Termination reason: Instruction limit
% 4.98/1.92 % (3777804)Termination phase: Saturation
% 4.98/1.92 % (3777804)Time elapsed: 0.058 s
% 4.98/1.92 % (3777804)Peak memory usage: 91 MB
% 4.98/1.92 % (3777804)Instructions burned: 113 (million)
% 4.98/1.92 % (3777807)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1560038997:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 4.98/1.92 % (3777807)Instruction limit reached!
% 4.98/1.92 % (3777807)------------------------------
% 4.98/1.92 % (3777807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777807)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777807)Termination reason: Instruction limit
% 4.98/1.92 % (3777807)Termination phase: Saturation
% 4.98/1.92 % (3777807)Time elapsed: 0.058 s
% 4.98/1.92 % (3777807)Peak memory usage: 89 MB
% 4.98/1.92 % (3777807)Instructions burned: 128 (million)
% 4.98/1.92 % (3777802)First to succeed.
% 4.98/1.92 % (3777809)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1035832696:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 4.98/1.92 % (3777802)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3777775"
% 4.98/1.92 % (3777781)Also succeeded, but the first one will report.
% 4.98/1.92 % (3777810)lrs+10_1_sil=8000:sp=occurrence:random_seed=2927031848:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 4.98/1.92 % (3777809)Instruction limit reached!
% 4.98/1.92 % (3777809)------------------------------
% 4.98/1.92 % (3777809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777809)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777809)Termination reason: Instruction limit
% 4.98/1.92 % (3777809)Termination phase: Saturation
% 4.98/1.92 % (3777809)Time elapsed: 0.055 s
% 4.98/1.92 % (3777809)Peak memory usage: 89 MB
% 4.98/1.92 % (3777809)Instructions burned: 114 (million)
% 4.98/1.92 % (3777780)Also succeeded, but the first one will report.
% 4.98/1.92 % (3777812)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1748664262:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 4.98/1.92 % (3777812)Refutation not found, incomplete strategy
% 4.98/1.92 % (3777812)------------------------------
% 4.98/1.92 % (3777812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.92 % (3777812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.92 % (3777812)CaDiCaL version: 2.1.3
% 4.98/1.92 % (3777812)Termination reason: Refutation not found, incomplete strategy
% 4.98/1.92 % (3777812)Time elapsed: 0.007 s
% 4.98/1.92 % (3777812)Peak memory usage: 88 MB
% 4.98/1.92 % (3777812)Instructions burned: 12 (million)
% 4.98/1.92 % (3777815)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2140548768:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 4.98/1.92 % (3777802)Refutation found. Thanks to Tanya!
% 4.98/1.92 % SZS status Theorem for theBenchmark
% 4.98/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/2.13 % (3777802)------------------------------
% 0.14/2.13 % (3777802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.13 % (3777802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.13 % (3777802)CaDiCaL version: 2.1.3
% 0.14/2.13 % (3777802)Termination reason: Refutation
% 0.14/2.13 % (3777802)Time elapsed: 0.458 s
% 0.14/2.13 % (3777802)Peak memory usage: 132 MB
% 0.14/2.13 % (3777802)Instructions burned: 1206 (million)
% 0.14/2.13 % (3777802)------------------------------
% 0.14/2.13 % (3777802)------------------------------
% 0.14/2.13 % (3777775)Success in time 1.374 s
% 0.14/2.13 % Vampire exiting
%------------------------------------------------------------------------------