%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT035+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:36:48 AM UTC 2026
% Result : Theorem 33.15s 5.36s
% Output : Refutation 33.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 77
% Syntax : Number of formulae : 696 ( 66 unt; 47 def)
% Number of atoms : 3424 ( 383 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 5118 (2390 ~;2452 |; 149 &)
% ( 60 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 61 ( 59 usr; 44 prp; 0-4 aty)
% Number of functors : 30 ( 30 usr; 6 con; 0-6 aty)
% Number of variables : 577 ( 0 sgn 557 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( m2_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0)))
=> ( ( v2_funct_1(k12_cat_1(X0,k12_nattra_1(X0,k1_yoneda_1(X0)),X1))
& v10_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0))) )
=> v2_funct_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_yoneda_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( m2_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0)))
=> ( ( v2_funct_1(k12_cat_1(X0,k12_nattra_1(X0,k1_yoneda_1(X0)),X1))
& v10_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0))) )
=> v2_funct_1(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) ) )
& ( X1 = k1_xboole_0
=> ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f9,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_cat_1(X0))
=> ( k6_cat_1(X0,X3,X4) != k1_xboole_0
=> ! [X5] :
( m1_cat_1(X5,X0,X3,X4)
=> k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_nattra_1) ).
fof(f11,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X0))
=> k13_cat_1(X0,X1,X2,X3) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_cat_1) ).
fof(f12,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( v10_cat_1(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_cat_1(X0))
=> ( k6_cat_1(X0,X3,X4) != k1_xboole_0
=> ! [X5] :
( m1_cat_1(X5,X0,X3,X4)
=> ! [X6] :
( m1_cat_1(X6,X0,X3,X4)
=> ( k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X6)
=> X5 = X6 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d24_cat_1) ).
fof(f13,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ( v2_funct_1(X0)
<=> ! [X1,X2] :
( ( r2_hidden(X1,k1_relat_1(X0))
& r2_hidden(X2,k1_relat_1(X0))
& k1_funct_1(X0,X1) = k1_funct_1(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m1_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) )
=> ( v1_funct_1(k12_cat_1(X0,X1,X2))
& v1_funct_2(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1))
& m2_relset_1(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_cat_1) ).
fof(f17,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f18,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)
& m1_subset_1(X3,u1_cat_1(X0)) )
=> m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_cat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k13_cat_1) ).
fof(f23,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ( v2_cat_1(k1_yoneda_1(X0))
& l1_cat_1(k1_yoneda_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yoneda_1) ).
fof(f25,axiom,
! [X0,X1] :
( ( l1_cat_1(X0)
& m1_subset_1(X1,u2_cat_1(X0)) )
=> m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_cat_1) ).
fof(f27,axiom,
! [X0,X1] :
( ( l1_cat_1(X0)
& m1_subset_1(X1,u2_cat_1(X0)) )
=> m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_cat_1) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& m2_cat_1(X2,X0,X1)
& m1_subset_1(X3,u1_cat_1(X0))
& m1_subset_1(X4,u1_cat_1(X0))
& m1_cat_1(X5,X0,X3,X4) )
=> m1_cat_1(k3_nattra_1(X0,X1,X2,X3,X4,X5),X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(X0,X1,X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_nattra_1) ).
fof(f36,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_cat_1) ).
fof(f37,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f38,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u1_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_cat_1) ).
fof(f39,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u2_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(f50,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f59,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f60,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f61,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f63,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_cat_1(X0))
=> ~ ( k6_cat_1(X0,X3,X4) != k1_xboole_0
& k6_cat_1(X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(X0,X1,X2,X4)) = k1_xboole_0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t126_cat_1) ).
fof(f64,axiom,
! [X0] :
( l1_cat_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> k6_cat_1(X0,k2_cat_1(X0,X1),k3_cat_1(X0,X1)) != k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_cat_1) ).
fof(f65,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f66,axiom,
! [X0] :
( l1_cat_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u2_cat_1(X0))
=> m1_cat_1(X1,X0,k2_cat_1(X0,X1),k3_cat_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_cat_1) ).
fof(f67,axiom,
! [X0] :
( l1_cat_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X0))
=> ! [X3] :
( m1_cat_1(X3,X0,X1,X2)
=> ( k6_cat_1(X0,X1,X2) != k1_xboole_0
=> ( k2_cat_1(X0,X3) = X1
& k3_cat_1(X0,X3) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_cat_1) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> ( v2_funct_1(X2)
<=> ! [X3,X4] :
( ( r2_hidden(X3,X0)
& r2_hidden(X4,X0)
& k1_funct_1(X2,X3) = k1_funct_1(X2,X4) )
=> X3 = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_funct_2) ).
fof(f69,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f74,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ~ v2_funct_1(X1)
& v2_funct_1(k12_cat_1(X0,k12_nattra_1(X0,k1_yoneda_1(X0)),X1))
& v10_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0)))
& m2_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0))) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ~ v2_funct_1(X1)
& v2_funct_1(k12_cat_1(X0,k12_nattra_1(X0,k1_yoneda_1(X0)),X1))
& v10_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0)))
& m2_cat_1(X1,X0,k12_nattra_1(X0,k1_yoneda_1(X0))) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5)
| ~ m1_cat_1(X5,X0,X3,X4) )
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5)
| ~ m1_cat_1(X5,X0,X3,X4) )
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f89]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_cat_1(X0,X1,X2,X3) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3)
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_cat_1(X0,X1,X2,X3) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3)
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v10_cat_1(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( X5 = X6
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) != k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X6)
| ~ m1_cat_1(X6,X0,X3,X4) )
| ~ m1_cat_1(X5,X0,X3,X4) )
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) ) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v10_cat_1(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( X5 = X6
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) != k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X6)
| ~ m1_cat_1(X6,X0,X3,X4) )
| ~ m1_cat_1(X5,X0,X3,X4) )
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) ) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ( v2_funct_1(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(X2,k1_relat_1(X0))
| k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f98,plain,
! [X0] :
( ( v2_funct_1(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(X2,k1_relat_1(X0))
| k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f97]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k12_cat_1(X0,X1,X2))
& v1_funct_2(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1))
& m2_relset_1(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m1_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k12_cat_1(X0,X1,X2))
& v1_funct_2(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1))
& m2_relset_1(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m1_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ),
inference(flattening,[],[f101]) ).
fof(f104,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f105,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m1_subset_1(X3,u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m1_subset_1(X3,u1_cat_1(X0)) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ( v2_cat_1(k1_yoneda_1(X0))
& l1_cat_1(k1_yoneda_1(X0)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f109,plain,
! [X0] :
( ( v2_cat_1(k1_yoneda_1(X0))
& l1_cat_1(k1_yoneda_1(X0)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f111,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f113,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_cat_1(k3_nattra_1(X0,X1,X2,X3,X4,X5),X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(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)
| ~ m1_subset_1(X3,u1_cat_1(X0))
| ~ m1_subset_1(X4,u1_cat_1(X0))
| ~ m1_cat_1(X5,X0,X3,X4) ),
inference(ennf_transformation,[],[f28]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_cat_1(k3_nattra_1(X0,X1,X2,X3,X4,X5),X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(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)
| ~ m1_subset_1(X3,u1_cat_1(X0))
| ~ m1_subset_1(X4,u1_cat_1(X0))
| ~ m1_cat_1(X5,X0,X3,X4) ),
inference(flattening,[],[f114]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f126,plain,
! [X0] :
( ~ v1_xboole_0(u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f127,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f141,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_xboole_0 = k6_cat_1(X0,X3,X4)
| k1_xboole_0 != k6_cat_1(X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(X0,X1,X2,X4))
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ 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] :
( k1_xboole_0 = k6_cat_1(X0,X3,X4)
| k1_xboole_0 != k6_cat_1(X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(X0,X1,X2,X4))
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( k6_cat_1(X0,k2_cat_1(X0,X1),k3_cat_1(X0,X1)) != k1_xboole_0
| ~ m1_subset_1(X1,u2_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f147,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( m1_cat_1(X1,X0,k2_cat_1(X0,X1),k3_cat_1(X0,X1))
| ~ m1_subset_1(X1,u2_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k2_cat_1(X0,X3) = X1
& k3_cat_1(X0,X3) = X2 )
| k1_xboole_0 = k6_cat_1(X0,X1,X2)
| ~ m1_cat_1(X3,X0,X1,X2) )
| ~ m1_subset_1(X2,u1_cat_1(X0)) )
| ~ m1_subset_1(X1,u1_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k2_cat_1(X0,X3) = X1
& k3_cat_1(X0,X3) = X2 )
| k1_xboole_0 = k6_cat_1(X0,X1,X2)
| ~ m1_cat_1(X3,X0,X1,X2) )
| ~ m1_subset_1(X2,u1_cat_1(X0)) )
| ~ m1_subset_1(X1,u1_cat_1(X0)) )
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( v2_funct_1(X2)
<=> ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X4,X0)
| k1_funct_1(X2,X3) != k1_funct_1(X2,X4) ) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( v2_funct_1(X2)
<=> ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X4,X0)
| k1_funct_1(X2,X3) != k1_funct_1(X2,X4) ) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f154,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f153]) ).
fof(f160,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f162,definition,
! [X0,X2] :
( ( v2_funct_1(X2)
<=> ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X4,X0)
| k1_funct_1(X2,X3) != k1_funct_1(X2,X4) ) )
| ~ sP0(X0,X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f163,plain,
! [X0,X1,X2] :
( sP0(X0,X2)
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_folding,[],[f152,f162]) ).
fof(f164,plain,
( ~ v2_funct_1(sK2)
& v2_funct_1(k12_cat_1(sK1,k12_nattra_1(sK1,k1_yoneda_1(sK1)),sK2))
& v10_cat_1(sK2,sK1,k12_nattra_1(sK1,k1_yoneda_1(sK1)))
& m2_cat_1(sK2,sK1,k12_nattra_1(sK1,k1_yoneda_1(sK1)))
& v2_cat_1(sK1)
& l1_cat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f79]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ( ( ( ( v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) != X0 )
& ( X0 = k4_relset_1(X0,X1,X2)
| ~ v1_funct_2(X2,X0,X1) ) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( ( v1_funct_2(X2,X0,X1)
| k1_xboole_0 != X2 )
& ( X2 = k1_xboole_0
| ~ v1_funct_2(X2,X0,X1) ) )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(nnf_transformation,[],[f88]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v10_cat_1(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( X5 != X6
& k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X6)
& m1_cat_1(X6,X0,X3,X4) )
& m1_cat_1(X5,X0,X3,X4) )
& k1_xboole_0 != k6_cat_1(X0,X3,X4)
& m1_subset_1(X4,u1_cat_1(X0)) )
& m1_subset_1(X3,u1_cat_1(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( X5 = X6
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) != k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X6)
| ~ m1_cat_1(X6,X0,X3,X4) )
| ~ m1_cat_1(X5,X0,X3,X4) )
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ v10_cat_1(X2,X0,X1) ) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v10_cat_1(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( X5 != X6
& k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X6)
& m1_cat_1(X6,X0,X3,X4) )
& m1_cat_1(X5,X0,X3,X4) )
& k1_xboole_0 != k6_cat_1(X0,X3,X4)
& m1_subset_1(X4,u1_cat_1(X0)) )
& m1_subset_1(X3,u1_cat_1(X0)) ) )
& ( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X9 = X10
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X9) != k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X10)
| ~ m1_cat_1(X10,X0,X7,X8) )
| ~ m1_cat_1(X9,X0,X7,X8) )
| k1_xboole_0 = k6_cat_1(X0,X7,X8)
| ~ m1_subset_1(X8,u1_cat_1(X0)) )
| ~ m1_subset_1(X7,u1_cat_1(X0)) )
| ~ v10_cat_1(X2,X0,X1) ) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v10_cat_1(X2,X0,X1)
| ( sK5(X0,X1,X2) != sK6(X0,X1,X2)
& k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,sK5(X0,X1,X2)) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,sK6(X0,X1,X2))
& m1_cat_1(sK6(X0,X1,X2),X0,sK3(X0,X1,X2),sK4(X0,X1,X2))
& m1_cat_1(sK5(X0,X1,X2),X0,sK3(X0,X1,X2),sK4(X0,X1,X2))
& k1_xboole_0 != k6_cat_1(X0,sK3(X0,X1,X2),sK4(X0,X1,X2))
& m1_subset_1(sK4(X0,X1,X2),u1_cat_1(X0))
& m1_subset_1(sK3(X0,X1,X2),u1_cat_1(X0)) ) )
& ( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X9 = X10
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X9) != k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X10)
| ~ m1_cat_1(X10,X0,X7,X8) )
| ~ m1_cat_1(X9,X0,X7,X8) )
| k1_xboole_0 = k6_cat_1(X0,X7,X8)
| ~ m1_subset_1(X8,u1_cat_1(X0)) )
| ~ m1_subset_1(X7,u1_cat_1(X0)) )
| ~ v10_cat_1(X2,X0,X1) ) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2)),skolemize(X5,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2))],[f167]) ).
fof(f169,plain,
! [X0] :
( ( ( v2_funct_1(X0)
| ? [X1,X2] :
( X1 != X2
& r2_hidden(X1,k1_relat_1(X0))
& r2_hidden(X2,k1_relat_1(X0))
& k1_funct_1(X0,X1) = k1_funct_1(X0,X2) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(X2,k1_relat_1(X0))
| k1_funct_1(X0,X1) != k1_funct_1(X0,X2) )
| ~ v2_funct_1(X0) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f170,plain,
! [X0] :
( ( ( v2_funct_1(X0)
| ? [X1,X2] :
( X1 != X2
& r2_hidden(X1,k1_relat_1(X0))
& r2_hidden(X2,k1_relat_1(X0))
& k1_funct_1(X0,X1) = k1_funct_1(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(X4,k1_relat_1(X0))
| k1_funct_1(X0,X3) != k1_funct_1(X0,X4) )
| ~ v2_funct_1(X0) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ( ( v2_funct_1(X0)
| ( sK7(X0) != sK8(X0)
& r2_hidden(sK7(X0),k1_relat_1(X0))
& r2_hidden(sK8(X0),k1_relat_1(X0))
& k1_funct_1(X0,sK7(X0)) = k1_funct_1(X0,sK8(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(X4,k1_relat_1(X0))
| k1_funct_1(X0,X3) != k1_funct_1(X0,X4) )
| ~ v2_funct_1(X0) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X2,sK8(X0))],[f170]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f184,plain,
! [X0,X2] :
( ( ( v2_funct_1(X2)
| ? [X3,X4] :
( X3 != X4
& r2_hidden(X3,X0)
& r2_hidden(X4,X0)
& k1_funct_1(X2,X3) = k1_funct_1(X2,X4) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X4,X0)
| k1_funct_1(X2,X3) != k1_funct_1(X2,X4) )
| ~ v2_funct_1(X2) ) )
| ~ sP0(X0,X2) ),
inference(nnf_transformation,[],[f162]) ).
fof(f185,plain,
! [X0,X1] :
( ( ( v2_funct_1(X1)
| ? [X2,X3] :
( X2 != X3
& r2_hidden(X2,X0)
& r2_hidden(X3,X0)
& k1_funct_1(X1,X2) = k1_funct_1(X1,X3) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X5,X0)
| k1_funct_1(X1,X4) != k1_funct_1(X1,X5) )
| ~ v2_funct_1(X1) ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f184]) ).
fof(f186,plain,
! [X0,X1] :
( ( ( v2_funct_1(X1)
| ( sK20(X0,X1) != sK21(X0,X1)
& r2_hidden(sK20(X0,X1),X0)
& r2_hidden(sK21(X0,X1),X0)
& k1_funct_1(X1,sK20(X0,X1)) = k1_funct_1(X1,sK21(X0,X1)) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X5,X0)
| k1_funct_1(X1,X4) != k1_funct_1(X1,X5) )
| ~ v2_funct_1(X1) ) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X2,sK20(X0,X1)),skolemize(X3,sK21(X0,X1))],[f185]) ).
fof(f187,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f164]) ).
fof(f188,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f164]) ).
fof(f189,plain,
m2_cat_1(sK2,sK1,k12_nattra_1(sK1,k1_yoneda_1(sK1))),
inference(cnf_transformation,[],[f164]) ).
fof(f190,plain,
v10_cat_1(sK2,sK1,k12_nattra_1(sK1,k1_yoneda_1(sK1))),
inference(cnf_transformation,[],[f164]) ).
fof(f191,plain,
v2_funct_1(k12_cat_1(sK1,k12_nattra_1(sK1,k1_yoneda_1(sK1)),sK2)),
inference(cnf_transformation,[],[f164]) ).
fof(f192,plain,
~ v2_funct_1(sK2),
inference(cnf_transformation,[],[f164]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = X0
| k1_xboole_0 = X1
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_cat_1(X5,X0,X3,X4)
| k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5)
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0))
| ~ m1_subset_1(X3,u1_cat_1(X0))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,u1_cat_1(X0))
| k13_cat_1(X0,X1,X2,X3) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X1),k12_cat_1(X0,X1,X2),X3)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f209,plain,
! [X2,X10,X0,X1,X8,X9,X7] :
( k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X9) != k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X10)
| X9 = X10
| ~ m1_cat_1(X10,X0,X7,X8)
| ~ m1_cat_1(X9,X0,X7,X8)
| k1_xboole_0 = k6_cat_1(X0,X7,X8)
| ~ m1_subset_1(X8,u1_cat_1(X0))
| ~ m1_subset_1(X7,u1_cat_1(X0))
| ~ v10_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f217,plain,
! [X3,X0,X4] :
( k1_funct_1(X0,X3) != k1_funct_1(X0,X4)
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(X4,k1_relat_1(X0))
| X3 = X4
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f218,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_funct_1(X0,sK7(X0)) = k1_funct_1(X0,sK8(X0))
| v2_funct_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f219,plain,
! [X0] :
( r2_hidden(sK8(X0),k1_relat_1(X0))
| v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f220,plain,
! [X0] :
( r2_hidden(sK7(X0),k1_relat_1(X0))
| v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f221,plain,
! [X0] :
( sK7(X0) != sK8(X0)
| v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f224,plain,
! [X2,X0,X1] :
( m2_relset_1(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m1_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f225,plain,
! [X2,X0,X1] :
( v1_funct_2(k12_cat_1(X0,X1,X2),u1_cat_1(X0),u1_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m1_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| v1_funct_1(k12_cat_1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f228,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f229,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m1_subset_1(X3,u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f232,plain,
! [X0] :
( l1_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f233,plain,
! [X0] :
( v2_cat_1(k1_yoneda_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f234,plain,
! [X0,X1] :
( m1_subset_1(k2_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f235,plain,
! [X0,X1] :
( m1_subset_1(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_cat_1(k3_nattra_1(X0,X1,X2,X3,X4,X5),X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(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)
| ~ m1_subset_1(X3,u1_cat_1(X0))
| ~ m1_subset_1(X4,u1_cat_1(X0))
| ~ m1_cat_1(X5,X0,X3,X4) ),
inference(cnf_transformation,[],[f115]) ).
fof(f241,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f242,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,X1)
| v1_funct_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f244,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f245,plain,
! [X0] :
( ~ v1_xboole_0(u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f246,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f264,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f50]) ).
fof(f284,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4] :
( k1_xboole_0 != k6_cat_1(X1,k13_cat_1(X0,X1,X2,X3),k13_cat_1(X0,X1,X2,X4))
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0))
| ~ m1_subset_1(X3,u1_cat_1(X0))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f290,plain,
! [X0,X1] :
( k1_xboole_0 != k6_cat_1(X0,k2_cat_1(X0,X1),k3_cat_1(X0,X1))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f291,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f292,plain,
! [X0,X1] :
( m1_cat_1(X1,X0,k2_cat_1(X0,X1),k3_cat_1(X0,X1))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ m1_cat_1(X3,X0,X1,X2)
| k1_xboole_0 = k6_cat_1(X0,X1,X2)
| k3_cat_1(X0,X3) = X2
| ~ m1_subset_1(X2,u1_cat_1(X0))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ m1_cat_1(X3,X0,X1,X2)
| k1_xboole_0 = k6_cat_1(X0,X1,X2)
| k2_cat_1(X0,X3) = X1
| ~ m1_subset_1(X2,u1_cat_1(X0))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f295,plain,
! [X0,X1,X4,X5] :
( k1_funct_1(X1,X4) != k1_funct_1(X1,X5)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X5,X0)
| X4 = X5
| ~ v2_funct_1(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f297,plain,
! [X0,X1] :
( r2_hidden(sK21(X0,X1),X0)
| v2_funct_1(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| ~ v1_funct_1(X2)
| sP0(X0,X2)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f302,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f307,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f315,definition,
sF22 = k1_yoneda_1(sK1),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f316,plain,
k1_yoneda_1(sK1) = sF22,
inference(reorient_equations,[],[f315]) ).
fof(f317,definition,
sF23 = k12_nattra_1(sK1,sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f318,plain,
k12_nattra_1(sK1,sF22) = sF23,
inference(reorient_equations,[],[f317]) ).
fof(f319,definition,
sF24 = k12_cat_1(sK1,sF23,sK2),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f320,plain,
k12_cat_1(sK1,sF23,sK2) = sF24,
inference(reorient_equations,[],[f319]) ).
fof(f321,plain,
v2_funct_1(sF24),
inference(definition_folding,[],[f191,f320,f318,f316]) ).
fof(f322,plain,
v10_cat_1(sK2,sK1,sF23),
inference(definition_folding,[],[f190,f318,f316]) ).
fof(f323,plain,
m2_cat_1(sK2,sK1,sF23),
inference(definition_folding,[],[f189,f318,f316]) ).
fof(f324,plain,
( v2_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF22)
| ~ l1_cat_1(sF22) ),
inference(superposition,[],[f229,f318]) ).
fof(f325,plain,
( v2_cat_1(sF23)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF22)
| ~ l1_cat_1(sF22) ),
inference(forward_subsumption_resolution,[],[f324,f188]) ).
fof(f326,plain,
( v2_cat_1(sF23)
| ~ v2_cat_1(sF22)
| ~ l1_cat_1(sF22) ),
inference(forward_subsumption_resolution,[],[f325,f187]) ).
fof(f328,definition,
( spl25_1
<=> l1_cat_1(sF22) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f329,plain,
( l1_cat_1(sF22)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( ~ l1_cat_1(sF22)
| spl25_1 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f332,definition,
( spl25_2
<=> v2_cat_1(sF22) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f333,plain,
( v2_cat_1(sF22)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,definition,
( spl25_3
<=> v2_cat_1(sF23) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f338,plain,
( v2_cat_1(sF23)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,plain,
( ~ spl25_1
| ~ spl25_2
| spl25_3 ),
inference(avatar_split_clause,[],[f326,f336,f332,f328]) ).
fof(f340,plain,
( l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF22)
| ~ l1_cat_1(sF22) ),
inference(superposition,[],[f228,f318]) ).
fof(f342,plain,
( v1_funct_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23) ),
inference(resolution,[],[f243,f323]) ).
fof(f343,plain,
( v1_funct_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23) ),
inference(forward_subsumption_resolution,[],[f342,f188]) ).
fof(f344,plain,
( v1_funct_1(sK2)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23) ),
inference(forward_subsumption_resolution,[],[f343,f187]) ).
fof(f346,definition,
( spl25_4
<=> l1_cat_1(sF23) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f347,plain,
( l1_cat_1(sF23)
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( ~ l1_cat_1(sF23)
| spl25_4 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl25_5
<=> v1_funct_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f352,plain,
( v1_funct_1(sK2)
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f353,plain,
( ~ spl25_4
| ~ spl25_3
| spl25_5 ),
inference(avatar_split_clause,[],[f344,f350,f336,f346]) ).
fof(f359,plain,
( v2_cat_1(sF22)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(superposition,[],[f233,f316]) ).
fof(f360,plain,
( v2_cat_1(sF22)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f359,f188]) ).
fof(f361,plain,
v2_cat_1(sF22),
inference(forward_subsumption_resolution,[],[f360,f187]) ).
fof(f362,plain,
spl25_2,
inference(avatar_split_clause,[],[f361,f332]) ).
fof(f364,plain,
( l1_cat_1(sF22)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(superposition,[],[f232,f316]) ).
fof(f365,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl25_1 ),
inference(forward_subsumption_resolution,[],[f364,f330]) ).
fof(f367,plain,
( ~ l1_cat_1(sK1)
| spl25_1 ),
inference(forward_subsumption_resolution,[],[f365,f188]) ).
fof(f368,plain,
( $false
| spl25_1 ),
inference(forward_subsumption_resolution,[],[f367,f187]) ).
fof(f369,plain,
spl25_1,
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f370,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF22)
| ~ l1_cat_1(sF22)
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f340,f348]) ).
fof(f372,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF22)
| ~ l1_cat_1(sF22)
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f370,f188]) ).
fof(f374,plain,
( ~ v2_cat_1(sF22)
| ~ l1_cat_1(sF22)
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f372,f187]) ).
fof(f376,plain,
( ~ l1_cat_1(sF22)
| ~ spl25_2
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f374,f333]) ).
fof(f378,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f376,f329]) ).
fof(f379,plain,
( ~ spl25_1
| ~ spl25_2
| spl25_4 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f386,plain,
! [X2,X0,X1] :
( m1_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X0,X1,X2) ),
inference(resolution,[],[f241,f286]) ).
fof(f387,plain,
! [X0,X1] :
( ~ sP0(X1,X0)
| v2_funct_1(X0)
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f297,f307]) ).
fof(f399,plain,
( v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
inference(superposition,[],[f225,f320]) ).
fof(f400,plain,
( v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
inference(forward_subsumption_resolution,[],[f399,f188]) ).
fof(f401,plain,
( v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
inference(forward_subsumption_resolution,[],[f400,f187]) ).
fof(f402,plain,
( v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_3 ),
inference(forward_subsumption_resolution,[],[f401,f338]) ).
fof(f403,plain,
( v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f402,f347]) ).
fof(f404,plain,
( v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f403,f352]) ).
fof(f406,definition,
( spl25_6
<=> m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition]) ).
fof(f407,plain,
( m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f408,plain,
( ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| spl25_6 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f410,definition,
( spl25_7
<=> v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f411,plain,
( v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| spl25_7 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,definition,
( spl25_8
<=> v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23)) ),
introduced(definition,[new_symbols(definition,[spl25_8])],[avatar_definition]) ).
fof(f416,plain,
( v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,plain,
( ~ spl25_6
| ~ spl25_7
| spl25_8
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f404,f350,f346,f336,f414,f410,f406]) ).
fof(f418,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| spl25_6 ),
inference(resolution,[],[f408,f386]) ).
fof(f419,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f418,f188]) ).
fof(f420,plain,
( ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f419,f187]) ).
fof(f421,plain,
( ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ spl25_3
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f420,f338]) ).
fof(f422,plain,
( ~ m2_cat_1(sK2,sK1,sF23)
| ~ spl25_3
| ~ spl25_4
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f421,f347]) ).
fof(f423,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f422,f323]) ).
fof(f424,plain,
( ~ spl25_3
| ~ spl25_4
| spl25_6 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( k4_relset_1(u2_cat_1(sK1),u2_cat_1(sF23),sK2) = k1_relat_1(sK2)
| ~ spl25_6 ),
inference(resolution,[],[f407,f284]) ).
fof(f426,plain,
( m2_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_6 ),
inference(resolution,[],[f407,f287]) ).
fof(f427,plain,
( ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| spl25_7 ),
inference(resolution,[],[f412,f242]) ).
fof(f428,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f427,f323]) ).
fof(f429,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f428,f188]) ).
fof(f430,plain,
( ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f429,f187]) ).
fof(f431,plain,
( ~ l1_cat_1(sF23)
| ~ spl25_3
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f430,f338]) ).
fof(f432,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f431,f347]) ).
fof(f433,plain,
( ~ spl25_3
| ~ spl25_4
| spl25_7 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f446,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| v1_funct_1(k12_cat_1(sK1,sF23,sK2))
| ~ spl25_6 ),
inference(resolution,[],[f226,f407]) ).
fof(f448,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| v1_funct_1(k12_cat_1(sK1,sF23,sK2))
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f446,f188]) ).
fof(f450,plain,
( ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| v1_funct_1(k12_cat_1(sK1,sF23,sK2))
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f448,f187]) ).
fof(f452,plain,
( ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| v1_funct_1(k12_cat_1(sK1,sF23,sK2))
| ~ spl25_3
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f450,f338]) ).
fof(f453,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| v1_funct_1(k12_cat_1(sK1,sF23,sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f452,f347]) ).
fof(f454,plain,
( ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| v1_funct_1(k12_cat_1(sK1,sF23,sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f453,f352]) ).
fof(f455,plain,
( v1_funct_1(k12_cat_1(sK1,sF23,sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f454,f411]) ).
fof(f456,plain,
( v1_funct_1(sF24)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_demodulation,[],[f455,f320]) ).
fof(f458,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
inference(superposition,[],[f224,f320]) ).
fof(f459,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
inference(forward_subsumption_resolution,[],[f458,f188]) ).
fof(f460,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23)) ),
inference(forward_subsumption_resolution,[],[f459,f187]) ).
fof(f461,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ l1_cat_1(sF23)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_3 ),
inference(forward_subsumption_resolution,[],[f460,f338]) ).
fof(f462,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f461,f347]) ).
fof(f463,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f462,f352]) ).
fof(f464,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ m1_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f463,f411]) ).
fof(f465,plain,
( m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f464,f407]) ).
fof(f466,plain,
( m1_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(resolution,[],[f465,f286]) ).
fof(f467,plain,
( k4_relset_1(u1_cat_1(sK1),u1_cat_1(sF23),sF24) = k1_relat_1(sF24)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(resolution,[],[f466,f284]) ).
fof(f476,plain,
( ! [X0] :
( v1_xboole_0(u2_cat_1(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) = k1_funct_1(sK2,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK1)) )
| ~ spl25_6 ),
inference(resolution,[],[f285,f407]) ).
fof(f477,plain,
( ! [X0] :
( v1_xboole_0(u1_cat_1(sK1))
| ~ v1_funct_1(sF24)
| ~ v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,u1_cat_1(sK1)) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(resolution,[],[f285,f466]) ).
fof(f478,plain,
( ! [X0] :
( v1_xboole_0(u1_cat_1(sK1))
| ~ v1_funct_2(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,u1_cat_1(sK1)) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f477,f456]) ).
fof(f479,plain,
( ! [X0] :
( v1_xboole_0(u2_cat_1(sK1))
| ~ v1_funct_2(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) = k1_funct_1(sK2,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK1)) )
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f476,f352]) ).
fof(f481,plain,
( ! [X0] :
( v1_xboole_0(u1_cat_1(sK1))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,u1_cat_1(sK1)) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f478,f416]) ).
fof(f482,plain,
( ! [X0] :
( v1_xboole_0(u2_cat_1(sK1))
| k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) = k1_funct_1(sK2,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK1)) )
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f479,f411]) ).
fof(f485,definition,
( spl25_9
<=> ! [X0] :
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,u1_cat_1(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl25_9])],[avatar_definition]) ).
fof(f486,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK1))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,X0) = k1_funct_1(sF24,X0) )
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,definition,
( spl25_10
<=> v1_xboole_0(u1_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_10])],[avatar_definition]) ).
fof(f489,plain,
( ~ v1_xboole_0(u1_cat_1(sK1))
| spl25_10 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( v1_xboole_0(u1_cat_1(sK1))
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,plain,
( spl25_9
| spl25_10
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f481,f414,f410,f406,f350,f346,f336,f488,f485]) ).
fof(f493,definition,
( spl25_11
<=> ! [X0] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) = k1_funct_1(sK2,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl25_11])],[avatar_definition]) ).
fof(f494,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK1))
| k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) = k1_funct_1(sK2,X0) )
| ~ spl25_11 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f496,definition,
( spl25_12
<=> v1_xboole_0(u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_12])],[avatar_definition]) ).
fof(f499,plain,
( spl25_11
| spl25_12
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(avatar_split_clause,[],[f482,f410,f406,f350,f496,f493]) ).
fof(f505,plain,
( ~ l1_cat_1(sK1)
| ~ spl25_10 ),
inference(resolution,[],[f490,f245]) ).
fof(f509,plain,
( $false
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f505,f187]) ).
fof(f510,plain,
~ spl25_10,
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f530,plain,
( k1_xboole_0 = u2_cat_1(sF23)
| ~ v1_funct_1(sK2)
| sP0(u2_cat_1(sK1),sK2)
| ~ m2_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_7 ),
inference(resolution,[],[f300,f411]) ).
fof(f531,plain,
( k1_xboole_0 = u1_cat_1(sF23)
| ~ v1_funct_1(sF24)
| sP0(u1_cat_1(sK1),sF24)
| ~ m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ spl25_8 ),
inference(resolution,[],[f300,f416]) ).
fof(f532,plain,
( k1_xboole_0 = u1_cat_1(sF23)
| sP0(u1_cat_1(sK1),sF24)
| ~ m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f531,f456]) ).
fof(f533,plain,
( k1_xboole_0 = u2_cat_1(sF23)
| sP0(u2_cat_1(sK1),sK2)
| ~ m2_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_5
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f530,f352]) ).
fof(f536,plain,
( k1_xboole_0 = u1_cat_1(sF23)
| sP0(u1_cat_1(sK1),sF24)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f532,f465]) ).
fof(f537,plain,
( k1_xboole_0 = u2_cat_1(sF23)
| sP0(u2_cat_1(sK1),sK2)
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f533,f426]) ).
fof(f541,definition,
( spl25_13
<=> sP0(u1_cat_1(sK1),sF24) ),
introduced(definition,[new_symbols(definition,[spl25_13])],[avatar_definition]) ).
fof(f543,plain,
( sP0(u1_cat_1(sK1),sF24)
| ~ spl25_13 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f545,definition,
( spl25_14
<=> k1_xboole_0 = u1_cat_1(sF23) ),
introduced(definition,[new_symbols(definition,[spl25_14])],[avatar_definition]) ).
fof(f547,plain,
( k1_xboole_0 = u1_cat_1(sF23)
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f548,plain,
( spl25_13
| spl25_14
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f536,f414,f410,f406,f350,f346,f336,f545,f541]) ).
fof(f550,definition,
( spl25_15
<=> sP0(u2_cat_1(sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl25_15])],[avatar_definition]) ).
fof(f552,plain,
( sP0(u2_cat_1(sK1),sK2)
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f554,definition,
( spl25_16
<=> k1_xboole_0 = u2_cat_1(sF23) ),
introduced(definition,[new_symbols(definition,[spl25_16])],[avatar_definition]) ).
fof(f555,plain,
( k1_xboole_0 != u2_cat_1(sF23)
| spl25_16 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( k1_xboole_0 = u2_cat_1(sF23)
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( spl25_15
| spl25_16
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(avatar_split_clause,[],[f537,f410,f406,f350,f554,f550]) ).
fof(f625,plain,
( v2_funct_1(sK2)
| ~ v1_xboole_0(u2_cat_1(sK1))
| ~ spl25_15 ),
inference(resolution,[],[f387,f552]) ).
fof(f626,plain,
( ~ v1_xboole_0(u2_cat_1(sK1))
| ~ spl25_15 ),
inference(forward_subsumption_resolution,[],[f625,f192]) ).
fof(f627,plain,
( ~ spl25_12
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f626,f550,f496]) ).
fof(f793,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| k3_nattra_1(X1,X2,X3,k2_cat_1(X1,X0),k3_cat_1(X1,X0),X0) = k8_funct_2(u2_cat_1(X1),u2_cat_1(X2),X3,X0)
| k1_xboole_0 = k6_cat_1(X1,k2_cat_1(X1,X0),k3_cat_1(X1,X0))
| ~ m1_subset_1(k3_cat_1(X1,X0),u1_cat_1(X1))
| ~ m1_subset_1(k2_cat_1(X1,X0),u1_cat_1(X1))
| ~ m2_cat_1(X3,X1,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(resolution,[],[f292,f206]) ).
fof(f800,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| k3_nattra_1(X1,X2,X3,k2_cat_1(X1,X0),k3_cat_1(X1,X0),X0) = k8_funct_2(u2_cat_1(X1),u2_cat_1(X2),X3,X0)
| k1_xboole_0 = k6_cat_1(X1,k2_cat_1(X1,X0),k3_cat_1(X1,X0))
| ~ m1_subset_1(k3_cat_1(X1,X0),u1_cat_1(X1))
| ~ m1_subset_1(k2_cat_1(X1,X0),u1_cat_1(X1))
| ~ m2_cat_1(X3,X1,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(duplicate_literal_removal,[],[f793]) ).
fof(f801,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| k3_nattra_1(X1,X2,X3,k2_cat_1(X1,X0),k3_cat_1(X1,X0),X0) = k8_funct_2(u2_cat_1(X1),u2_cat_1(X2),X3,X0)
| ~ m1_subset_1(k3_cat_1(X1,X0),u1_cat_1(X1))
| ~ m1_subset_1(k2_cat_1(X1,X0),u1_cat_1(X1))
| ~ m2_cat_1(X3,X1,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f800,f290]) ).
fof(f802,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| k3_nattra_1(X1,X2,X3,k2_cat_1(X1,X0),k3_cat_1(X1,X0),X0) = k8_funct_2(u2_cat_1(X1),u2_cat_1(X2),X3,X0)
| ~ m1_subset_1(k2_cat_1(X1,X0),u1_cat_1(X1))
| ~ m2_cat_1(X3,X1,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f801,f235]) ).
fof(f803,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(X1))
| ~ l1_cat_1(X1)
| k3_nattra_1(X1,X2,X3,k2_cat_1(X1,X0),k3_cat_1(X1,X0),X0) = k8_funct_2(u2_cat_1(X1),u2_cat_1(X2),X3,X0)
| ~ m2_cat_1(X3,X1,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f802,f234]) ).
fof(f858,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ l1_cat_1(sF23)
| ~ spl25_16 ),
inference(superposition,[],[f246,f556]) ).
fof(f873,plain,
( ~ l1_cat_1(sF23)
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f858,f264]) ).
fof(f894,plain,
( $false
| ~ spl25_4
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f873,f347]) ).
fof(f895,plain,
( ~ spl25_4
| ~ spl25_16 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f1026,plain,
! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0))
| k13_cat_1(X0,X2,X3,k2_cat_1(X0,X1)) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X3),k2_cat_1(X0,X1))
| ~ m2_cat_1(X3,X0,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(resolution,[],[f234,f208]) ).
fof(f1027,plain,
( ! [X0] :
( ~ l1_cat_1(sK1)
| ~ m1_subset_1(X0,u2_cat_1(sK1))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,X0)) = k1_funct_1(sF24,k2_cat_1(sK1,X0)) )
| ~ spl25_9 ),
inference(resolution,[],[f234,f486]) ).
fof(f1029,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0)
| k13_cat_1(X0,X2,X3,k2_cat_1(X0,X1)) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X3),k2_cat_1(X0,X1))
| ~ m2_cat_1(X3,X0,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0) ),
inference(duplicate_literal_removal,[],[f1026]) ).
fof(f1031,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK1))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,X0)) = k1_funct_1(sF24,k2_cat_1(sK1,X0)) )
| ~ spl25_9 ),
inference(forward_subsumption_resolution,[],[f1027,f187]) ).
fof(f1092,plain,
( u2_cat_1(sK1) = k4_relset_1(u2_cat_1(sK1),u2_cat_1(sF23),sK2)
| k1_xboole_0 = u2_cat_1(sF23)
| ~ m2_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_7 ),
inference(resolution,[],[f202,f411]) ).
fof(f1093,plain,
( u1_cat_1(sK1) = k4_relset_1(u1_cat_1(sK1),u1_cat_1(sF23),sF24)
| k1_xboole_0 = u1_cat_1(sF23)
| ~ m2_relset_1(sF24,u1_cat_1(sK1),u1_cat_1(sF23))
| ~ spl25_8 ),
inference(resolution,[],[f202,f416]) ).
fof(f1094,plain,
( u1_cat_1(sK1) = k4_relset_1(u1_cat_1(sK1),u1_cat_1(sF23),sF24)
| k1_xboole_0 = u1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f1093,f465]) ).
fof(f1095,plain,
( u2_cat_1(sK1) = k4_relset_1(u2_cat_1(sK1),u2_cat_1(sF23),sK2)
| ~ m2_relset_1(sK2,u2_cat_1(sK1),u2_cat_1(sF23))
| ~ spl25_7
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f1092,f555]) ).
fof(f1101,plain,
( u1_cat_1(sK1) = k1_relat_1(sF24)
| k1_xboole_0 = u1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_demodulation,[],[f1094,f467]) ).
fof(f1102,plain,
( u2_cat_1(sK1) = k4_relset_1(u2_cat_1(sK1),u2_cat_1(sF23),sK2)
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f1095,f426]) ).
fof(f1104,definition,
( spl25_48
<=> u1_cat_1(sK1) = k1_relat_1(sF24) ),
introduced(definition,[new_symbols(definition,[spl25_48])],[avatar_definition]) ).
fof(f1106,plain,
( u1_cat_1(sK1) = k1_relat_1(sF24)
| ~ spl25_48 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1107,plain,
( spl25_14
| spl25_48
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f1101,f414,f410,f406,f350,f346,f336,f1104,f545]) ).
fof(f1108,plain,
( u2_cat_1(sK1) = k1_relat_1(sK2)
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(forward_demodulation,[],[f1102,f425]) ).
fof(f1123,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ l1_cat_1(sF23)
| ~ spl25_14 ),
inference(superposition,[],[f245,f547]) ).
fof(f1138,plain,
( ~ l1_cat_1(sF23)
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f1123,f264]) ).
fof(f1151,plain,
( $false
| ~ spl25_4
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f1138,f347]) ).
fof(f1152,plain,
( ~ spl25_4
| ~ spl25_14 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1163,plain,
( r2_hidden(sK8(sK2),u2_cat_1(sK1))
| v2_funct_1(sK2)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(superposition,[],[f219,f1108]) ).
fof(f1164,plain,
( r2_hidden(sK7(sK2),u2_cat_1(sK1))
| v2_funct_1(sK2)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(superposition,[],[f220,f1108]) ).
fof(f1165,plain,
( r2_hidden(sK7(sK2),u2_cat_1(sK1))
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f1164,f192]) ).
fof(f1166,plain,
( r2_hidden(sK8(sK2),u2_cat_1(sK1))
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f1163,f192]) ).
fof(f1167,plain,
( r2_hidden(sK7(sK2),u2_cat_1(sK1))
| ~ v1_relat_1(sK2)
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f1165,f352]) ).
fof(f1168,plain,
( r2_hidden(sK8(sK2),u2_cat_1(sK1))
| ~ v1_relat_1(sK2)
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f1166,f352]) ).
fof(f1170,definition,
( spl25_49
<=> v1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl25_49])],[avatar_definition]) ).
fof(f1171,plain,
( v1_relat_1(sK2)
| ~ spl25_49 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1172,plain,
( ~ v1_relat_1(sK2)
| spl25_49 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1174,definition,
( spl25_50
<=> r2_hidden(sK7(sK2),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_50])],[avatar_definition]) ).
fof(f1176,plain,
( r2_hidden(sK7(sK2),u2_cat_1(sK1))
| ~ spl25_50 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1177,plain,
( ~ spl25_49
| spl25_50
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(avatar_split_clause,[],[f1167,f554,f410,f406,f350,f1174,f1170]) ).
fof(f1179,definition,
( spl25_51
<=> r2_hidden(sK8(sK2),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_51])],[avatar_definition]) ).
fof(f1181,plain,
( r2_hidden(sK8(sK2),u2_cat_1(sK1))
| ~ spl25_51 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1182,plain,
( ~ spl25_49
| spl25_51
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_16 ),
inference(avatar_split_clause,[],[f1168,f554,f410,f406,f350,f1179,f1170]) ).
fof(f1183,plain,
! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0))
| k13_cat_1(X0,X2,X3,k3_cat_1(X0,X1)) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X3),k3_cat_1(X0,X1))
| ~ m2_cat_1(X3,X0,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(resolution,[],[f235,f208]) ).
fof(f1184,plain,
( ! [X0] :
( ~ l1_cat_1(sK1)
| ~ m1_subset_1(X0,u2_cat_1(sK1))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,X0)) = k1_funct_1(sF24,k3_cat_1(sK1,X0)) )
| ~ spl25_9 ),
inference(resolution,[],[f235,f486]) ).
fof(f1185,plain,
! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0))
| r2_hidden(k3_cat_1(X0,X1),u1_cat_1(X0))
| v1_xboole_0(u1_cat_1(X0)) ),
inference(resolution,[],[f235,f302]) ).
fof(f1186,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0)
| k13_cat_1(X0,X2,X3,k3_cat_1(X0,X1)) = k8_funct_2(u1_cat_1(X0),u1_cat_1(X2),k12_cat_1(X0,X2,X3),k3_cat_1(X0,X1))
| ~ m2_cat_1(X3,X0,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0) ),
inference(duplicate_literal_removal,[],[f1183]) ).
fof(f1187,plain,
! [X0,X1] :
( r2_hidden(k3_cat_1(X0,X1),u1_cat_1(X0))
| ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1185,f245]) ).
fof(f1188,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK1))
| k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,X0)) = k1_funct_1(sF24,k3_cat_1(sK1,X0)) )
| ~ spl25_9 ),
inference(forward_subsumption_resolution,[],[f1184,f187]) ).
fof(f1189,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f196,f244]) ).
fof(f1196,plain,
( v1_relat_1(sK2)
| ~ spl25_6 ),
inference(resolution,[],[f1189,f426]) ).
fof(f1198,plain,
( v1_relat_1(sF24)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(resolution,[],[f1189,f465]) ).
fof(f1199,plain,
( $false
| ~ spl25_6
| spl25_49 ),
inference(forward_subsumption_resolution,[],[f1196,f1172]) ).
fof(f1200,plain,
( ~ spl25_6
| spl25_49 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1202,plain,
( m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ spl25_51 ),
inference(resolution,[],[f1181,f291]) ).
fof(f1205,plain,
( m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| ~ spl25_50 ),
inference(resolution,[],[f1176,f291]) ).
fof(f1207,plain,
( k1_funct_1(sK2,sK7(sK2)) = k1_funct_1(sK2,sK8(sK2))
| v2_funct_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_49 ),
inference(resolution,[],[f1171,f218]) ).
fof(f1210,plain,
( k1_funct_1(sK2,sK7(sK2)) = k1_funct_1(sK2,sK8(sK2))
| ~ v1_funct_1(sK2)
| ~ spl25_49 ),
inference(forward_subsumption_resolution,[],[f1207,f192]) ).
fof(f1212,plain,
( k1_funct_1(sK2,sK7(sK2)) = k1_funct_1(sK2,sK8(sK2))
| ~ spl25_5
| ~ spl25_49 ),
inference(forward_subsumption_resolution,[],[f1210,f352]) ).
fof(f1220,plain,
( k1_funct_1(sK2,sK8(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK8(sK2))
| ~ spl25_11
| ~ spl25_51 ),
inference(resolution,[],[f1202,f494]) ).
fof(f1222,plain,
( k1_funct_1(sK2,sK7(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK8(sK2))
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_demodulation,[],[f1220,f1212]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = X0
| ~ m1_cat_1(X0,sK1,X1,X2)
| ~ m1_cat_1(sK8(sK2),sK1,X1,X2)
| k1_xboole_0 = k6_cat_1(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ v10_cat_1(sK2,sK1,sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) )
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(superposition,[],[f209,f1222]) ).
fof(f1229,plain,
( ! [X2,X0,X1] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = X0
| ~ m1_cat_1(X0,sK1,X1,X2)
| ~ m1_cat_1(sK8(sK2),sK1,X1,X2)
| k1_xboole_0 = k6_cat_1(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) )
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f1226,f322]) ).
fof(f1252,plain,
( ! [X2,X0,X1] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = X0
| ~ m1_cat_1(X0,sK1,X1,X2)
| ~ m1_cat_1(sK8(sK2),sK1,X1,X2)
| k1_xboole_0 = k6_cat_1(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) )
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f1229,f323]) ).
fof(f1255,plain,
( ! [X2,X0,X1] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = X0
| ~ m1_cat_1(X0,sK1,X1,X2)
| ~ m1_cat_1(sK8(sK2),sK1,X1,X2)
| k1_xboole_0 = k6_cat_1(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) )
| ~ spl25_3
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f1252,f338]) ).
fof(f1258,plain,
( ! [X2,X0,X1] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = X0
| ~ m1_cat_1(X0,sK1,X1,X2)
| ~ m1_cat_1(sK8(sK2),sK1,X1,X2)
| k1_xboole_0 = k6_cat_1(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f1255,f347]) ).
fof(f1261,plain,
( ! [X2,X0,X1] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = X0
| ~ m1_cat_1(X0,sK1,X1,X2)
| ~ m1_cat_1(sK8(sK2),sK1,X1,X2)
| k1_xboole_0 = k6_cat_1(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ l1_cat_1(sK1) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f1258,f188]) ).
fof(f1263,plain,
( ! [X2,X0,X1] :
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,X0) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = X0
| ~ m1_cat_1(X0,sK1,X1,X2)
| ~ m1_cat_1(sK8(sK2),sK1,X1,X2)
| k1_xboole_0 = k6_cat_1(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1)) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f1261,f187]) ).
fof(f1268,plain,
( k1_funct_1(sK2,sK7(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK7(sK2))
| ~ spl25_11
| ~ spl25_50 ),
inference(resolution,[],[f1205,f494]) ).
fof(f1270,plain,
( ! [X0,X1] :
( k1_funct_1(sK2,sK7(sK2)) != k1_funct_1(sK2,sK7(sK2))
| sK8(sK2) = sK7(sK2)
| ~ m1_cat_1(sK7(sK2),sK1,X0,X1)
| ~ m1_cat_1(sK8(sK2),sK1,X0,X1)
| k1_xboole_0 = k6_cat_1(sK1,X0,X1)
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ m1_subset_1(X0,u1_cat_1(sK1)) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_50
| ~ spl25_51 ),
inference(superposition,[],[f1263,f1268]) ).
fof(f1276,plain,
( ! [X0,X1] :
( sK8(sK2) = sK7(sK2)
| ~ m1_cat_1(sK7(sK2),sK1,X0,X1)
| ~ m1_cat_1(sK8(sK2),sK1,X0,X1)
| k1_xboole_0 = k6_cat_1(sK1,X0,X1)
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| ~ m1_subset_1(X0,u1_cat_1(sK1)) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_50
| ~ spl25_51 ),
inference(trivial_inequality_removal,[],[f1270]) ).
fof(f1280,definition,
( spl25_57
<=> ! [X0,X1] :
( ~ m1_cat_1(sK7(sK2),sK1,X0,X1)
| ~ m1_subset_1(X0,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| k1_xboole_0 = k6_cat_1(sK1,X0,X1)
| ~ m1_cat_1(sK8(sK2),sK1,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl25_57])],[avatar_definition]) ).
fof(f1281,plain,
( ! [X0,X1] :
( ~ m1_cat_1(sK8(sK2),sK1,X0,X1)
| ~ m1_subset_1(X0,u1_cat_1(sK1))
| ~ m1_subset_1(X1,u1_cat_1(sK1))
| k1_xboole_0 = k6_cat_1(sK1,X0,X1)
| ~ m1_cat_1(sK7(sK2),sK1,X0,X1) )
| ~ spl25_57 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1283,definition,
( spl25_58
<=> sK8(sK2) = sK7(sK2) ),
introduced(definition,[new_symbols(definition,[spl25_58])],[avatar_definition]) ).
fof(f1285,plain,
( sK8(sK2) = sK7(sK2)
| ~ spl25_58 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1286,plain,
( spl25_57
| spl25_58
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_50
| ~ spl25_51 ),
inference(avatar_split_clause,[],[f1276,f1179,f1174,f1170,f493,f350,f346,f336,f1283,f1280]) ).
fof(f1297,plain,
( ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_57 ),
inference(resolution,[],[f1281,f292]) ).
fof(f1298,plain,
( ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_57 ),
inference(forward_subsumption_resolution,[],[f1297,f234]) ).
fof(f1299,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_57 ),
inference(forward_subsumption_resolution,[],[f1298,f235]) ).
fof(f1300,plain,
( ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_57 ),
inference(forward_subsumption_resolution,[],[f1299,f290]) ).
fof(f1301,plain,
( ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ l1_cat_1(sK1)
| ~ spl25_51
| ~ spl25_57 ),
inference(forward_subsumption_resolution,[],[f1300,f1202]) ).
fof(f1302,plain,
( ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_51
| ~ spl25_57 ),
inference(forward_subsumption_resolution,[],[f1301,f187]) ).
fof(f1345,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,sK7(sK2))) = k1_funct_1(sF24,k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_9
| ~ spl25_50 ),
inference(resolution,[],[f1188,f1205]) ).
fof(f1346,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,sK8(sK2))) = k1_funct_1(sF24,k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_9
| ~ spl25_51 ),
inference(resolution,[],[f1188,f1202]) ).
fof(f1352,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,sK7(sK2))) = k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ spl25_9
| ~ spl25_50 ),
inference(resolution,[],[f1031,f1205]) ).
fof(f1353,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,sK8(sK2))) = k1_funct_1(sF24,k2_cat_1(sK1,sK8(sK2)))
| ~ spl25_9
| ~ spl25_51 ),
inference(resolution,[],[f1031,f1202]) ).
fof(f2662,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| k13_cat_1(sK1,X0,X1,k2_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k2_cat_1(sK1,sK7(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_50 ),
inference(resolution,[],[f1029,f1205]) ).
fof(f2663,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| k13_cat_1(sK1,X0,X1,k2_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k2_cat_1(sK1,sK8(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_51 ),
inference(resolution,[],[f1029,f1202]) ).
fof(f2673,plain,
( ! [X0,X1] :
( k13_cat_1(sK1,X0,X1,k2_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k2_cat_1(sK1,sK8(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f2663,f187]) ).
fof(f2674,plain,
( ! [X0,X1] :
( k13_cat_1(sK1,X0,X1,k2_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k2_cat_1(sK1,sK7(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f2662,f187]) ).
fof(f2678,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,sK1,X0)
| k13_cat_1(sK1,X0,X1,k2_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k2_cat_1(sK1,sK8(sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f2673,f188]) ).
fof(f2679,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,sK1,X0)
| k13_cat_1(sK1,X0,X1,k2_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k2_cat_1(sK1,sK7(sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f2674,f188]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| k13_cat_1(sK1,X0,X1,k3_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k3_cat_1(sK1,sK7(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_50 ),
inference(resolution,[],[f1186,f1205]) ).
fof(f2886,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| k13_cat_1(sK1,X0,X1,k3_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k3_cat_1(sK1,sK8(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_51 ),
inference(resolution,[],[f1186,f1202]) ).
fof(f2895,plain,
( ! [X0,X1] :
( k13_cat_1(sK1,X0,X1,k3_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k3_cat_1(sK1,sK8(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f2886,f187]) ).
fof(f2896,plain,
( ! [X0,X1] :
( k13_cat_1(sK1,X0,X1,k3_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k3_cat_1(sK1,sK7(sK2)))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f2885,f187]) ).
fof(f2899,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,sK1,X0)
| k13_cat_1(sK1,X0,X1,k3_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k3_cat_1(sK1,sK8(sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f2895,f188]) ).
fof(f2900,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,sK1,X0)
| k13_cat_1(sK1,X0,X1,k3_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(X0),k12_cat_1(sK1,X0,X1),k3_cat_1(sK1,sK7(sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f2896,f188]) ).
fof(f3813,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| k3_nattra_1(sK1,X0,X1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)),sK7(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(X0),X1,sK7(sK2))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_50 ),
inference(resolution,[],[f803,f1205]) ).
fof(f3814,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| k3_nattra_1(sK1,X0,X1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)),sK8(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(X0),X1,sK8(sK2))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_51 ),
inference(resolution,[],[f803,f1202]) ).
fof(f3824,plain,
( ! [X0,X1] :
( k3_nattra_1(sK1,X0,X1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)),sK8(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(X0),X1,sK8(sK2))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3814,f187]) ).
fof(f3825,plain,
( ! [X0,X1] :
( k3_nattra_1(sK1,X0,X1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)),sK7(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(X0),X1,sK7(sK2))
| ~ m2_cat_1(X1,sK1,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1) )
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f3813,f187]) ).
fof(f3829,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,sK1,X0)
| k3_nattra_1(sK1,X0,X1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)),sK8(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(X0),X1,sK8(sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3824,f188]) ).
fof(f3830,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,sK1,X0)
| k3_nattra_1(sK1,X0,X1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)),sK7(sK2)) = k8_funct_2(u2_cat_1(sK1),u2_cat_1(X0),X1,sK7(sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f3825,f188]) ).
fof(f3833,plain,
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK8(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)),sK8(sK2))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ spl25_51 ),
inference(resolution,[],[f3829,f323]) ).
fof(f3834,plain,
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK8(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)),sK8(sK2))
| ~ l1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3833,f338]) ).
fof(f3835,plain,
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK8(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)),sK8(sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3834,f347]) ).
fof(f3836,plain,
( k1_funct_1(sK2,sK7(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)),sK8(sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_demodulation,[],[f3835,f1222]) ).
fof(f3838,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(superposition,[],[f236,f3836]) ).
fof(f3839,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3838,f188]) ).
fof(f3840,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3839,f187]) ).
fof(f3841,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3840,f338]) ).
fof(f3842,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3841,f347]) ).
fof(f3843,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f3842,f323]) ).
fof(f3845,definition,
( spl25_256
<=> m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2))) ),
introduced(definition,[new_symbols(definition,[spl25_256])],[avatar_definition]) ).
fof(f3847,plain,
( ~ m1_cat_1(sK8(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| spl25_256 ),
inference(avatar_component_clause,[],[f3845]) ).
fof(f3849,definition,
( spl25_257
<=> m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_257])],[avatar_definition]) ).
fof(f3850,plain,
( m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_257 ),
inference(avatar_component_clause,[],[f3849]) ).
fof(f3851,plain,
( ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_257 ),
inference(avatar_component_clause,[],[f3849]) ).
fof(f3853,definition,
( spl25_258
<=> m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_258])],[avatar_definition]) ).
fof(f3854,plain,
( m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_258 ),
inference(avatar_component_clause,[],[f3853]) ).
fof(f3855,plain,
( ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_258 ),
inference(avatar_component_clause,[],[f3853]) ).
fof(f3857,definition,
( spl25_259
<=> m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl25_259])],[avatar_definition]) ).
fof(f3859,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ spl25_259 ),
inference(avatar_component_clause,[],[f3857]) ).
fof(f3860,plain,
( ~ spl25_256
| ~ spl25_257
| ~ spl25_258
| spl25_259
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51 ),
inference(avatar_split_clause,[],[f3843,f1179,f1170,f493,f350,f346,f336,f3857,f3853,f3849,f3845]) ).
fof(f3861,plain,
( ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| spl25_256 ),
inference(resolution,[],[f3847,f292]) ).
fof(f3862,plain,
( ~ l1_cat_1(sK1)
| ~ spl25_51
| spl25_256 ),
inference(forward_subsumption_resolution,[],[f3861,f1202]) ).
fof(f3863,plain,
( $false
| ~ spl25_51
| spl25_256 ),
inference(forward_subsumption_resolution,[],[f3862,f187]) ).
fof(f3864,plain,
( ~ spl25_51
| spl25_256 ),
inference(avatar_contradiction_clause,[],[f3863]) ).
fof(f3865,plain,
( ~ l1_cat_1(sK1)
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| spl25_257 ),
inference(resolution,[],[f3851,f235]) ).
fof(f3866,plain,
( ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| spl25_257 ),
inference(forward_subsumption_resolution,[],[f3865,f187]) ).
fof(f3867,plain,
( $false
| ~ spl25_51
| spl25_257 ),
inference(forward_subsumption_resolution,[],[f3866,f1202]) ).
fof(f3868,plain,
( ~ spl25_51
| spl25_257 ),
inference(avatar_contradiction_clause,[],[f3867]) ).
fof(f3869,plain,
( ~ l1_cat_1(sK1)
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| spl25_258 ),
inference(resolution,[],[f3855,f234]) ).
fof(f3870,plain,
( ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| spl25_258 ),
inference(forward_subsumption_resolution,[],[f3869,f187]) ).
fof(f3871,plain,
( $false
| ~ spl25_51
| spl25_258 ),
inference(forward_subsumption_resolution,[],[f3870,f1202]) ).
fof(f3872,plain,
( ~ spl25_51
| spl25_258 ),
inference(avatar_contradiction_clause,[],[f3871]) ).
fof(f3878,plain,
( r2_hidden(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| v1_xboole_0(u1_cat_1(sK1))
| ~ spl25_258 ),
inference(resolution,[],[f3854,f302]) ).
fof(f3879,plain,
( r2_hidden(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_10
| ~ spl25_258 ),
inference(forward_subsumption_resolution,[],[f3878,f489]) ).
fof(f3901,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ l1_cat_1(sF23)
| ~ spl25_259 ),
inference(resolution,[],[f3859,f293]) ).
fof(f3902,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ l1_cat_1(sF23)
| ~ spl25_259 ),
inference(resolution,[],[f3859,f294]) ).
fof(f3904,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ spl25_4
| ~ spl25_259 ),
inference(forward_subsumption_resolution,[],[f3902,f347]) ).
fof(f3905,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| ~ spl25_4
| ~ spl25_259 ),
inference(forward_subsumption_resolution,[],[f3901,f347]) ).
fof(f3908,definition,
( spl25_260
<=> m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23)) ),
introduced(definition,[new_symbols(definition,[spl25_260])],[avatar_definition]) ).
fof(f3910,plain,
( ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| spl25_260 ),
inference(avatar_component_clause,[],[f3908]) ).
fof(f3912,definition,
( spl25_261
<=> m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23)) ),
introduced(definition,[new_symbols(definition,[spl25_261])],[avatar_definition]) ).
fof(f3914,plain,
( ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))),u1_cat_1(sF23))
| spl25_261 ),
inference(avatar_component_clause,[],[f3912]) ).
fof(f3916,definition,
( spl25_262
<=> k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))) ),
introduced(definition,[new_symbols(definition,[spl25_262])],[avatar_definition]) ).
fof(f3918,plain,
( k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)))
| ~ spl25_262 ),
inference(avatar_component_clause,[],[f3916]) ).
fof(f3920,definition,
( spl25_263
<=> k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl25_263])],[avatar_definition]) ).
fof(f3922,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))))
| ~ spl25_263 ),
inference(avatar_component_clause,[],[f3920]) ).
fof(f3923,plain,
( ~ spl25_260
| ~ spl25_261
| spl25_262
| spl25_263
| ~ spl25_4
| ~ spl25_259 ),
inference(avatar_split_clause,[],[f3904,f3857,f346,f3920,f3916,f3912,f3908]) ).
fof(f3925,definition,
( spl25_264
<=> k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))) ),
introduced(definition,[new_symbols(definition,[spl25_264])],[avatar_definition]) ).
fof(f3927,plain,
( k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_264 ),
inference(avatar_component_clause,[],[f3925]) ).
fof(f3928,plain,
( ~ spl25_260
| ~ spl25_261
| spl25_264
| spl25_263
| ~ spl25_4
| ~ spl25_259 ),
inference(avatar_split_clause,[],[f3905,f3857,f346,f3920,f3925,f3912,f3908]) ).
fof(f3940,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_260 ),
inference(resolution,[],[f3910,f231]) ).
fof(f3941,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_260 ),
inference(forward_subsumption_resolution,[],[f3940,f188]) ).
fof(f3942,plain,
( ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_260 ),
inference(forward_subsumption_resolution,[],[f3941,f187]) ).
fof(f3943,plain,
( ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| spl25_260 ),
inference(forward_subsumption_resolution,[],[f3942,f338]) ).
fof(f3944,plain,
( ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_260 ),
inference(forward_subsumption_resolution,[],[f3943,f347]) ).
fof(f3945,plain,
( ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_260 ),
inference(forward_subsumption_resolution,[],[f3944,f323]) ).
fof(f3946,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_258
| spl25_260 ),
inference(forward_subsumption_resolution,[],[f3945,f3854]) ).
fof(f3947,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_258
| spl25_260 ),
inference(avatar_contradiction_clause,[],[f3946]) ).
fof(f3948,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_261 ),
inference(resolution,[],[f3914,f231]) ).
fof(f3949,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_261 ),
inference(forward_subsumption_resolution,[],[f3948,f188]) ).
fof(f3950,plain,
( ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| spl25_261 ),
inference(forward_subsumption_resolution,[],[f3949,f187]) ).
fof(f3951,plain,
( ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| spl25_261 ),
inference(forward_subsumption_resolution,[],[f3950,f338]) ).
fof(f3952,plain,
( ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_261 ),
inference(forward_subsumption_resolution,[],[f3951,f347]) ).
fof(f3953,plain,
( ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_261 ),
inference(forward_subsumption_resolution,[],[f3952,f323]) ).
fof(f3954,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| spl25_261 ),
inference(forward_subsumption_resolution,[],[f3953,f3850]) ).
fof(f3955,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| spl25_261 ),
inference(avatar_contradiction_clause,[],[f3954]) ).
fof(f4129,plain,
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK7(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)),sK7(sK2))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ spl25_50 ),
inference(resolution,[],[f3830,f323]) ).
fof(f4130,plain,
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK7(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)),sK7(sK2))
| ~ l1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f4129,f338]) ).
fof(f4131,plain,
( k8_funct_2(u2_cat_1(sK1),u2_cat_1(sF23),sK2,sK7(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)),sK7(sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f4130,f347]) ).
fof(f4132,plain,
( k1_funct_1(sK2,sK7(sK2)) = k3_nattra_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)),sK7(sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(forward_demodulation,[],[f4131,f1268]) ).
fof(f4134,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(superposition,[],[f236,f4132]) ).
fof(f4135,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f4134,f188]) ).
fof(f4136,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f4135,f187]) ).
fof(f4137,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f4136,f338]) ).
fof(f4138,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f4137,f347]) ).
fof(f4139,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f4138,f323]) ).
fof(f4141,definition,
( spl25_275
<=> m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2))) ),
introduced(definition,[new_symbols(definition,[spl25_275])],[avatar_definition]) ).
fof(f4142,plain,
( m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_275 ),
inference(avatar_component_clause,[],[f4141]) ).
fof(f4143,plain,
( ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| spl25_275 ),
inference(avatar_component_clause,[],[f4141]) ).
fof(f4145,definition,
( spl25_276
<=> m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_276])],[avatar_definition]) ).
fof(f4146,plain,
( m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_276 ),
inference(avatar_component_clause,[],[f4145]) ).
fof(f4147,plain,
( ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_276 ),
inference(avatar_component_clause,[],[f4145]) ).
fof(f4149,definition,
( spl25_277
<=> m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl25_277])],[avatar_definition]) ).
fof(f4150,plain,
( m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_277 ),
inference(avatar_component_clause,[],[f4149]) ).
fof(f4151,plain,
( ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_277 ),
inference(avatar_component_clause,[],[f4149]) ).
fof(f4153,definition,
( spl25_278
<=> m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl25_278])],[avatar_definition]) ).
fof(f4155,plain,
( m1_cat_1(k1_funct_1(sK2,sK7(sK2)),sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ spl25_278 ),
inference(avatar_component_clause,[],[f4153]) ).
fof(f4156,plain,
( ~ spl25_275
| ~ spl25_276
| ~ spl25_277
| spl25_278
| ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50 ),
inference(avatar_split_clause,[],[f4139,f1174,f493,f346,f336,f4153,f4149,f4145,f4141]) ).
fof(f4157,plain,
( ~ m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| spl25_275 ),
inference(resolution,[],[f4143,f292]) ).
fof(f4158,plain,
( ~ l1_cat_1(sK1)
| ~ spl25_50
| spl25_275 ),
inference(forward_subsumption_resolution,[],[f4157,f1205]) ).
fof(f4159,plain,
( $false
| ~ spl25_50
| spl25_275 ),
inference(forward_subsumption_resolution,[],[f4158,f187]) ).
fof(f4160,plain,
( ~ spl25_50
| spl25_275 ),
inference(avatar_contradiction_clause,[],[f4159]) ).
fof(f4161,plain,
( ~ l1_cat_1(sK1)
| ~ m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| spl25_276 ),
inference(resolution,[],[f4147,f235]) ).
fof(f4162,plain,
( ~ m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| spl25_276 ),
inference(forward_subsumption_resolution,[],[f4161,f187]) ).
fof(f4163,plain,
( $false
| ~ spl25_50
| spl25_276 ),
inference(forward_subsumption_resolution,[],[f4162,f1205]) ).
fof(f4164,plain,
( ~ spl25_50
| spl25_276 ),
inference(avatar_contradiction_clause,[],[f4163]) ).
fof(f4165,plain,
( ~ l1_cat_1(sK1)
| ~ m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| spl25_277 ),
inference(resolution,[],[f4151,f234]) ).
fof(f4166,plain,
( ~ m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| spl25_277 ),
inference(forward_subsumption_resolution,[],[f4165,f187]) ).
fof(f4167,plain,
( $false
| ~ spl25_50
| spl25_277 ),
inference(forward_subsumption_resolution,[],[f4166,f1205]) ).
fof(f4168,plain,
( ~ spl25_50
| spl25_277 ),
inference(avatar_contradiction_clause,[],[f4167]) ).
fof(f4175,plain,
( r2_hidden(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| v1_xboole_0(u1_cat_1(sK1))
| ~ spl25_277 ),
inference(resolution,[],[f4150,f302]) ).
fof(f4176,plain,
( r2_hidden(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_10
| ~ spl25_277 ),
inference(forward_subsumption_resolution,[],[f4175,f489]) ).
fof(f4187,plain,
( r2_hidden(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| v1_xboole_0(u1_cat_1(sK1))
| ~ spl25_276 ),
inference(resolution,[],[f4146,f302]) ).
fof(f4188,plain,
( r2_hidden(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_10
| ~ spl25_276 ),
inference(forward_subsumption_resolution,[],[f4187,f489]) ).
fof(f4198,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ l1_cat_1(sF23)
| ~ spl25_278 ),
inference(resolution,[],[f4155,f293]) ).
fof(f4199,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ l1_cat_1(sF23)
| ~ spl25_278 ),
inference(resolution,[],[f4155,f294]) ).
fof(f4201,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ spl25_4
| ~ spl25_278 ),
inference(forward_subsumption_resolution,[],[f4199,f347]) ).
fof(f4202,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2)))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| ~ spl25_4
| ~ spl25_278 ),
inference(forward_subsumption_resolution,[],[f4198,f347]) ).
fof(f4205,definition,
( spl25_279
<=> m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23)) ),
introduced(definition,[new_symbols(definition,[spl25_279])],[avatar_definition]) ).
fof(f4207,plain,
( ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| spl25_279 ),
inference(avatar_component_clause,[],[f4205]) ).
fof(f4209,definition,
( spl25_280
<=> m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23)) ),
introduced(definition,[new_symbols(definition,[spl25_280])],[avatar_definition]) ).
fof(f4211,plain,
( ~ m1_subset_1(k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))),u1_cat_1(sF23))
| spl25_280 ),
inference(avatar_component_clause,[],[f4209]) ).
fof(f4213,definition,
( spl25_281
<=> k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))) ),
introduced(definition,[new_symbols(definition,[spl25_281])],[avatar_definition]) ).
fof(f4215,plain,
( k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)))
| ~ spl25_281 ),
inference(avatar_component_clause,[],[f4213]) ).
fof(f4217,definition,
( spl25_282
<=> k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl25_282])],[avatar_definition]) ).
fof(f4219,plain,
( k1_xboole_0 = k6_cat_1(sF23,k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))),k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))))
| ~ spl25_282 ),
inference(avatar_component_clause,[],[f4217]) ).
fof(f4220,plain,
( ~ spl25_279
| ~ spl25_280
| spl25_281
| spl25_282
| ~ spl25_4
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f4201,f4153,f346,f4217,f4213,f4209,f4205]) ).
fof(f4222,definition,
( spl25_283
<=> k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))) ),
introduced(definition,[new_symbols(definition,[spl25_283])],[avatar_definition]) ).
fof(f4224,plain,
( k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_283 ),
inference(avatar_component_clause,[],[f4222]) ).
fof(f4225,plain,
( ~ spl25_279
| ~ spl25_280
| spl25_283
| spl25_282
| ~ spl25_4
| ~ spl25_278 ),
inference(avatar_split_clause,[],[f4202,f4153,f346,f4217,f4222,f4209,f4205]) ).
fof(f4237,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_279 ),
inference(resolution,[],[f4207,f231]) ).
fof(f4238,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_279 ),
inference(forward_subsumption_resolution,[],[f4237,f188]) ).
fof(f4239,plain,
( ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_279 ),
inference(forward_subsumption_resolution,[],[f4238,f187]) ).
fof(f4240,plain,
( ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| spl25_279 ),
inference(forward_subsumption_resolution,[],[f4239,f338]) ).
fof(f4241,plain,
( ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_279 ),
inference(forward_subsumption_resolution,[],[f4240,f347]) ).
fof(f4242,plain,
( ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_279 ),
inference(forward_subsumption_resolution,[],[f4241,f323]) ).
fof(f4243,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_277
| spl25_279 ),
inference(forward_subsumption_resolution,[],[f4242,f4150]) ).
fof(f4244,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_277
| spl25_279 ),
inference(avatar_contradiction_clause,[],[f4243]) ).
fof(f4245,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_280 ),
inference(resolution,[],[f4211,f231]) ).
fof(f4246,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_280 ),
inference(forward_subsumption_resolution,[],[f4245,f188]) ).
fof(f4247,plain,
( ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| spl25_280 ),
inference(forward_subsumption_resolution,[],[f4246,f187]) ).
fof(f4248,plain,
( ~ l1_cat_1(sF23)
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| spl25_280 ),
inference(forward_subsumption_resolution,[],[f4247,f338]) ).
fof(f4249,plain,
( ~ m2_cat_1(sK2,sK1,sF23)
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_280 ),
inference(forward_subsumption_resolution,[],[f4248,f347]) ).
fof(f4250,plain,
( ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ spl25_3
| ~ spl25_4
| spl25_280 ),
inference(forward_subsumption_resolution,[],[f4249,f323]) ).
fof(f4251,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| spl25_280 ),
inference(forward_subsumption_resolution,[],[f4250,f4146]) ).
fof(f4252,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| spl25_280 ),
inference(avatar_contradiction_clause,[],[f4251]) ).
fof(f4735,plain,
( k1_xboole_0 != k1_xboole_0
| k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_263 ),
inference(superposition,[],[f289,f3922]) ).
fof(f4736,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(k3_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_263 ),
inference(trivial_inequality_removal,[],[f4735]) ).
fof(f4737,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m1_subset_1(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_257
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4736,f3850]) ).
fof(f4738,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4737,f3854]) ).
fof(f4739,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4738,f323]) ).
fof(f4740,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4739,f338]) ).
fof(f4741,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4740,f347]) ).
fof(f4742,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4741,f188]) ).
fof(f4743,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4742,f187]) ).
fof(f4744,plain,
( k1_xboole_0 != k1_xboole_0
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(superposition,[],[f290,f4743]) ).
fof(f4745,plain,
( ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(trivial_inequality_removal,[],[f4744]) ).
fof(f4746,plain,
( ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4745,f1202]) ).
fof(f4747,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(forward_subsumption_resolution,[],[f4746,f187]) ).
fof(f4748,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_51
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(avatar_contradiction_clause,[],[f4747]) ).
fof(f4923,plain,
( k1_xboole_0 != k1_xboole_0
| k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_282 ),
inference(superposition,[],[f289,f4219]) ).
fof(f4924,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ m1_subset_1(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_282 ),
inference(trivial_inequality_removal,[],[f4923]) ).
fof(f4925,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ m1_subset_1(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_276
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4924,f4146]) ).
fof(f4926,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ m2_cat_1(sK2,sK1,sF23)
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4925,f4150]) ).
fof(f4927,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4926,f323]) ).
fof(f4928,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ l1_cat_1(sF23)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4927,f338]) ).
fof(f4929,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4928,f347]) ).
fof(f4930,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4929,f188]) ).
fof(f4931,plain,
( k1_xboole_0 = k6_cat_1(sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4930,f187]) ).
fof(f4932,plain,
( k1_xboole_0 != k1_xboole_0
| ~ m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(superposition,[],[f290,f4931]) ).
fof(f4933,plain,
( ~ m1_subset_1(sK7(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(trivial_inequality_removal,[],[f4932]) ).
fof(f4934,plain,
( ~ l1_cat_1(sK1)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4933,f1205]) ).
fof(f4935,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(forward_subsumption_resolution,[],[f4934,f187]) ).
fof(f4936,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_50
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(avatar_contradiction_clause,[],[f4935]) ).
fof(f25346,plain,
( k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k2_cat_1(sK1,sK8(sK2)))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ spl25_51 ),
inference(resolution,[],[f2678,f323]) ).
fof(f25350,plain,
( k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k2_cat_1(sK1,sK8(sK2)))
| ~ l1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f25346,f338]) ).
fof(f25352,plain,
( k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k2_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f25350,f347]) ).
fof(f25353,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,sK8(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51 ),
inference(forward_demodulation,[],[f25352,f320]) ).
fof(f25354,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,sK8(sK2))) = k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51
| ~ spl25_262 ),
inference(forward_demodulation,[],[f25353,f3918]) ).
fof(f25355,plain,
( k1_funct_1(sF24,k2_cat_1(sK1,sK8(sK2))) = k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_51
| ~ spl25_262 ),
inference(forward_demodulation,[],[f25354,f1353]) ).
fof(f26511,plain,
( k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k2_cat_1(sK1,sK7(sK2)))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ spl25_50 ),
inference(resolution,[],[f2679,f323]) ).
fof(f26515,plain,
( k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k2_cat_1(sK1,sK7(sK2)))
| ~ l1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f26511,f338]) ).
fof(f26517,plain,
( k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k2_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f26515,f347]) ).
fof(f26518,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k2_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50 ),
inference(forward_demodulation,[],[f26517,f320]) ).
fof(f26519,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,sK7(sK2))) = k2_cat_1(sF23,k1_funct_1(sK2,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50
| ~ spl25_281 ),
inference(forward_demodulation,[],[f26518,f4215]) ).
fof(f26520,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k2_cat_1(sK1,sK7(sK2))) = k1_funct_1(sF24,k2_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_demodulation,[],[f26519,f25355]) ).
fof(f26521,plain,
( k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2))) = k1_funct_1(sF24,k2_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_demodulation,[],[f26520,f1352]) ).
fof(f26545,plain,
( ! [X0] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(k2_cat_1(sK1,sK8(sK2)),k1_relat_1(sF24))
| ~ r2_hidden(X0,k1_relat_1(sF24))
| k2_cat_1(sK1,sK8(sK2)) = X0
| ~ v2_funct_1(sF24)
| ~ v1_relat_1(sF24)
| ~ v1_funct_1(sF24) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_262
| ~ spl25_281 ),
inference(superposition,[],[f217,f26521]) ).
fof(f26550,plain,
( ! [X0] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(k2_cat_1(sK1,sK8(sK2)),k1_relat_1(sF24))
| ~ r2_hidden(X0,k1_relat_1(sF24))
| k2_cat_1(sK1,sK8(sK2)) = X0
| ~ v1_relat_1(sF24)
| ~ v1_funct_1(sF24) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_subsumption_resolution,[],[f26545,f321]) ).
fof(f26552,plain,
( ! [X0] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(k2_cat_1(sK1,sK8(sK2)),k1_relat_1(sF24))
| ~ r2_hidden(X0,k1_relat_1(sF24))
| k2_cat_1(sK1,sK8(sK2)) = X0
| ~ v1_funct_1(sF24) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_subsumption_resolution,[],[f26550,f1198]) ).
fof(f26554,plain,
( ! [X0] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(k2_cat_1(sK1,sK8(sK2)),k1_relat_1(sF24))
| ~ r2_hidden(X0,k1_relat_1(sF24))
| k2_cat_1(sK1,sK8(sK2)) = X0 )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_subsumption_resolution,[],[f26552,f456]) ).
fof(f26556,plain,
( ! [X0] :
( ~ r2_hidden(k2_cat_1(sK1,sK8(sK2)),u1_cat_1(sK1))
| k1_funct_1(sF24,X0) != k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(X0,k1_relat_1(sF24))
| k2_cat_1(sK1,sK8(sK2)) = X0 )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_demodulation,[],[f26554,f1106]) ).
fof(f26558,plain,
( ! [X0] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(X0,k1_relat_1(sF24))
| k2_cat_1(sK1,sK8(sK2)) = X0 )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| spl25_10
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_258
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_subsumption_resolution,[],[f26556,f3879]) ).
fof(f26560,plain,
( ! [X0] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k2_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(X0,u1_cat_1(sK1))
| k2_cat_1(sK1,sK8(sK2)) = X0 )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| spl25_10
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_258
| ~ spl25_262
| ~ spl25_281 ),
inference(forward_demodulation,[],[f26558,f1106]) ).
fof(f26564,definition,
( spl25_1101
<=> k2_cat_1(sK1,sK8(sK2)) = k2_cat_1(sK1,sK7(sK2)) ),
introduced(definition,[new_symbols(definition,[spl25_1101])],[avatar_definition]) ).
fof(f26565,plain,
( k2_cat_1(sK1,sK8(sK2)) != k2_cat_1(sK1,sK7(sK2))
| spl25_1101 ),
inference(avatar_component_clause,[],[f26564]) ).
fof(f26566,plain,
( k2_cat_1(sK1,sK8(sK2)) = k2_cat_1(sK1,sK7(sK2))
| ~ spl25_1101 ),
inference(avatar_component_clause,[],[f26564]) ).
fof(f26810,plain,
( ~ r2_hidden(k2_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| k2_cat_1(sK1,sK8(sK2)) = k2_cat_1(sK1,sK7(sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| spl25_10
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_258
| ~ spl25_262
| ~ spl25_281 ),
inference(equality_resolution,[],[f26560]) ).
fof(f28884,plain,
( k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k3_cat_1(sK1,sK8(sK2)))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ spl25_51 ),
inference(resolution,[],[f2899,f323]) ).
fof(f28888,plain,
( k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k3_cat_1(sK1,sK8(sK2)))
| ~ l1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f28884,f338]) ).
fof(f28890,plain,
( k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51 ),
inference(forward_subsumption_resolution,[],[f28888,f347]) ).
fof(f28891,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,sK8(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51 ),
inference(forward_demodulation,[],[f28890,f320]) ).
fof(f28892,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,sK8(sK2))) = k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_51
| ~ spl25_264 ),
inference(forward_demodulation,[],[f28891,f3927]) ).
fof(f28893,plain,
( k1_funct_1(sF24,k3_cat_1(sK1,sK8(sK2))) = k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_51
| ~ spl25_264 ),
inference(forward_demodulation,[],[f28892,f1346]) ).
fof(f29133,plain,
( k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k3_cat_1(sK1,sK7(sK2)))
| ~ v2_cat_1(sF23)
| ~ l1_cat_1(sF23)
| ~ spl25_50 ),
inference(resolution,[],[f2900,f323]) ).
fof(f29137,plain,
( k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k3_cat_1(sK1,sK7(sK2)))
| ~ l1_cat_1(sF23)
| ~ spl25_3
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f29133,f338]) ).
fof(f29139,plain,
( k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2))) = k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),k12_cat_1(sK1,sF23,sK2),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f29137,f347]) ).
fof(f29140,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,sK7(sK2))) = k13_cat_1(sK1,sF23,sK2,k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50 ),
inference(forward_demodulation,[],[f29139,f320]) ).
fof(f29141,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,sK7(sK2))) = k3_cat_1(sF23,k1_funct_1(sK2,sK7(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_50
| ~ spl25_283 ),
inference(forward_demodulation,[],[f29140,f4224]) ).
fof(f29142,plain,
( k8_funct_2(u1_cat_1(sK1),u1_cat_1(sF23),sF24,k3_cat_1(sK1,sK7(sK2))) = k1_funct_1(sF24,k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_264
| ~ spl25_283 ),
inference(forward_demodulation,[],[f29141,f28893]) ).
fof(f29143,plain,
( k1_funct_1(sF24,k3_cat_1(sK1,sK7(sK2))) = k1_funct_1(sF24,k3_cat_1(sK1,sK8(sK2)))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_264
| ~ spl25_283 ),
inference(forward_demodulation,[],[f29142,f1345]) ).
fof(f29174,plain,
( ! [X0,X1] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k3_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(k3_cat_1(sK1,sK8(sK2)),X1)
| ~ r2_hidden(X0,X1)
| k3_cat_1(sK1,sK8(sK2)) = X0
| ~ v2_funct_1(sF24)
| ~ sP0(X1,sF24) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_264
| ~ spl25_283 ),
inference(superposition,[],[f295,f29143]) ).
fof(f29175,plain,
( ! [X0,X1] :
( k1_funct_1(sF24,X0) != k1_funct_1(sF24,k3_cat_1(sK1,sK7(sK2)))
| ~ r2_hidden(k3_cat_1(sK1,sK8(sK2)),X1)
| ~ r2_hidden(X0,X1)
| k3_cat_1(sK1,sK8(sK2)) = X0
| ~ sP0(X1,sF24) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_264
| ~ spl25_283 ),
inference(forward_subsumption_resolution,[],[f29174,f321]) ).
fof(f29202,plain,
( ! [X0] :
( ~ r2_hidden(k3_cat_1(sK1,sK8(sK2)),X0)
| ~ r2_hidden(k3_cat_1(sK1,sK7(sK2)),X0)
| k3_cat_1(sK1,sK8(sK2)) = k3_cat_1(sK1,sK7(sK2))
| ~ sP0(X0,sF24) )
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_264
| ~ spl25_283 ),
inference(equality_resolution,[],[f29175]) ).
fof(f29204,definition,
( spl25_1179
<=> k3_cat_1(sK1,sK8(sK2)) = k3_cat_1(sK1,sK7(sK2)) ),
introduced(definition,[new_symbols(definition,[spl25_1179])],[avatar_definition]) ).
fof(f29206,plain,
( k3_cat_1(sK1,sK8(sK2)) = k3_cat_1(sK1,sK7(sK2))
| ~ spl25_1179 ),
inference(avatar_component_clause,[],[f29204]) ).
fof(f29208,definition,
( spl25_1180
<=> ! [X0] :
( ~ r2_hidden(k3_cat_1(sK1,sK8(sK2)),X0)
| ~ sP0(X0,sF24)
| ~ r2_hidden(k3_cat_1(sK1,sK7(sK2)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl25_1180])],[avatar_definition]) ).
fof(f29209,plain,
( ! [X0] :
( ~ r2_hidden(k3_cat_1(sK1,sK8(sK2)),X0)
| ~ sP0(X0,sF24)
| ~ r2_hidden(k3_cat_1(sK1,sK7(sK2)),X0) )
| ~ spl25_1180 ),
inference(avatar_component_clause,[],[f29208]) ).
fof(f29210,plain,
( spl25_1179
| spl25_1180
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_264
| ~ spl25_283 ),
inference(avatar_split_clause,[],[f29202,f4222,f3925,f1179,f1174,f485,f346,f336,f29208,f29204]) ).
fof(f29211,plain,
( ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK8(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_51
| ~ spl25_57
| ~ spl25_1179 ),
inference(superposition,[],[f1302,f29206]) ).
fof(f29311,plain,
( ~ m1_cat_1(sK7(sK2),sK1,k2_cat_1(sK1,sK7(sK2)),k3_cat_1(sK1,sK7(sK2)))
| ~ spl25_51
| ~ spl25_57
| ~ spl25_1101
| ~ spl25_1179 ),
inference(forward_demodulation,[],[f29211,f26566]) ).
fof(f29315,plain,
( $false
| ~ spl25_51
| ~ spl25_57
| ~ spl25_275
| ~ spl25_1101
| ~ spl25_1179 ),
inference(forward_subsumption_resolution,[],[f29311,f4142]) ).
fof(f29316,plain,
( ~ spl25_51
| ~ spl25_57
| ~ spl25_275
| ~ spl25_1101
| ~ spl25_1179 ),
inference(avatar_contradiction_clause,[],[f29315]) ).
fof(f29506,plain,
( sK7(sK2) != sK7(sK2)
| v2_funct_1(sK2)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_58 ),
inference(superposition,[],[f221,f1285]) ).
fof(f29507,plain,
( v2_funct_1(sK2)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_58 ),
inference(trivial_inequality_removal,[],[f29506]) ).
fof(f29508,plain,
( ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ spl25_58 ),
inference(forward_subsumption_resolution,[],[f29507,f192]) ).
fof(f29509,plain,
( ~ v1_funct_1(sK2)
| ~ spl25_49
| ~ spl25_58 ),
inference(forward_subsumption_resolution,[],[f29508,f1171]) ).
fof(f29510,plain,
( $false
| ~ spl25_5
| ~ spl25_49
| ~ spl25_58 ),
inference(forward_subsumption_resolution,[],[f29509,f352]) ).
fof(f29511,plain,
( ~ spl25_5
| ~ spl25_49
| ~ spl25_58 ),
inference(avatar_contradiction_clause,[],[f29510]) ).
fof(f29515,plain,
( k2_cat_1(sK1,sK8(sK2)) = k2_cat_1(sK1,sK7(sK2))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| spl25_10
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_258
| ~ spl25_262
| ~ spl25_277
| ~ spl25_281 ),
inference(forward_subsumption_resolution,[],[f26810,f4176]) ).
fof(f29522,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| spl25_10
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_258
| ~ spl25_262
| ~ spl25_277
| ~ spl25_281
| spl25_1101 ),
inference(forward_subsumption_resolution,[],[f29515,f26565]) ).
fof(f29523,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| spl25_10
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_258
| ~ spl25_262
| ~ spl25_277
| ~ spl25_281
| spl25_1101 ),
inference(avatar_contradiction_clause,[],[f29522]) ).
fof(f29622,plain,
( ~ sP0(u1_cat_1(sK1),sF24)
| ~ r2_hidden(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_1180 ),
inference(resolution,[],[f29209,f1187]) ).
fof(f29663,plain,
( ~ r2_hidden(k3_cat_1(sK1,sK7(sK2)),u1_cat_1(sK1))
| ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ spl25_13
| ~ spl25_1180 ),
inference(forward_subsumption_resolution,[],[f29622,f543]) ).
fof(f29666,plain,
( ~ m1_subset_1(sK8(sK2),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| spl25_10
| ~ spl25_13
| ~ spl25_276
| ~ spl25_1180 ),
inference(forward_subsumption_resolution,[],[f29663,f4188]) ).
fof(f29667,plain,
( ~ l1_cat_1(sK1)
| spl25_10
| ~ spl25_13
| ~ spl25_51
| ~ spl25_276
| ~ spl25_1180 ),
inference(forward_subsumption_resolution,[],[f29666,f1202]) ).
fof(f29668,plain,
( $false
| spl25_10
| ~ spl25_13
| ~ spl25_51
| ~ spl25_276
| ~ spl25_1180 ),
inference(forward_subsumption_resolution,[],[f29667,f187]) ).
fof(f29669,plain,
( spl25_10
| ~ spl25_13
| ~ spl25_51
| ~ spl25_276
| ~ spl25_1180 ),
inference(avatar_contradiction_clause,[],[f29668]) ).
cnf(s1,plain,
( ~ spl25_1
| ~ spl25_2
| spl25_3 ),
inference(sat_conversion,[],[f339]) ).
cnf(s2,plain,
( ~ spl25_3
| ~ spl25_4
| spl25_5 ),
inference(sat_conversion,[],[f353]) ).
cnf(s3,plain,
spl25_2,
inference(sat_conversion,[],[f362]) ).
cnf(s4,plain,
spl25_1,
inference(sat_conversion,[],[f369]) ).
cnf(s5,plain,
( ~ spl25_1
| ~ spl25_2
| spl25_4 ),
inference(sat_conversion,[],[f379]) ).
cnf(s6,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_8 ),
inference(sat_conversion,[],[f417]) ).
cnf(s7,plain,
( ~ spl25_3
| ~ spl25_4
| spl25_6 ),
inference(sat_conversion,[],[f424]) ).
cnf(s8,plain,
( ~ spl25_3
| ~ spl25_4
| spl25_7 ),
inference(sat_conversion,[],[f433]) ).
cnf(s9,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| spl25_9
| spl25_10 ),
inference(sat_conversion,[],[f491]) ).
cnf(s10,plain,
( ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_11
| spl25_12 ),
inference(sat_conversion,[],[f499]) ).
cnf(s11,plain,
~ spl25_10,
inference(sat_conversion,[],[f510]) ).
cnf(s12,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| spl25_13
| spl25_14 ),
inference(sat_conversion,[],[f548]) ).
cnf(s13,plain,
( ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_15
| spl25_16 ),
inference(sat_conversion,[],[f557]) ).
cnf(s14,plain,
( ~ spl25_12
| ~ spl25_15 ),
inference(sat_conversion,[],[f627]) ).
cnf(s33,plain,
( ~ spl25_4
| ~ spl25_16 ),
inference(sat_conversion,[],[f895]) ).
cnf(s43,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| spl25_14
| spl25_48 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s44,plain,
( ~ spl25_4
| ~ spl25_14 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s45,plain,
( ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_16
| ~ spl25_49
| spl25_50 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s46,plain,
( ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_16
| ~ spl25_49
| spl25_51 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s47,plain,
( ~ spl25_6
| spl25_49 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s50,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_50
| ~ spl25_51
| spl25_57
| spl25_58 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s209,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_11
| ~ spl25_49
| ~ spl25_51
| ~ spl25_256
| ~ spl25_257
| ~ spl25_258
| spl25_259 ),
inference(sat_conversion,[],[f3860]) ).
cnf(s210,plain,
( ~ spl25_51
| spl25_256 ),
inference(sat_conversion,[],[f3864]) ).
cnf(s211,plain,
( ~ spl25_51
| spl25_257 ),
inference(sat_conversion,[],[f3868]) ).
cnf(s212,plain,
( ~ spl25_51
| spl25_258 ),
inference(sat_conversion,[],[f3872]) ).
cnf(s213,plain,
( ~ spl25_4
| ~ spl25_259
| ~ spl25_260
| ~ spl25_261
| spl25_262
| spl25_263 ),
inference(sat_conversion,[],[f3923]) ).
cnf(s214,plain,
( ~ spl25_4
| ~ spl25_259
| ~ spl25_260
| ~ spl25_261
| spl25_263
| spl25_264 ),
inference(sat_conversion,[],[f3928]) ).
cnf(s216,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_258
| spl25_260 ),
inference(sat_conversion,[],[f3947]) ).
cnf(s217,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_257
| spl25_261 ),
inference(sat_conversion,[],[f3955]) ).
cnf(s228,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_11
| ~ spl25_50
| ~ spl25_275
| ~ spl25_276
| ~ spl25_277
| spl25_278 ),
inference(sat_conversion,[],[f4156]) ).
cnf(s229,plain,
( ~ spl25_50
| spl25_275 ),
inference(sat_conversion,[],[f4160]) ).
cnf(s230,plain,
( ~ spl25_50
| spl25_276 ),
inference(sat_conversion,[],[f4164]) ).
cnf(s231,plain,
( ~ spl25_50
| spl25_277 ),
inference(sat_conversion,[],[f4168]) ).
cnf(s232,plain,
( ~ spl25_4
| ~ spl25_278
| ~ spl25_279
| ~ spl25_280
| spl25_281
| spl25_282 ),
inference(sat_conversion,[],[f4220]) ).
cnf(s233,plain,
( ~ spl25_4
| ~ spl25_278
| ~ spl25_279
| ~ spl25_280
| spl25_282
| spl25_283 ),
inference(sat_conversion,[],[f4225]) ).
cnf(s235,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_277
| spl25_279 ),
inference(sat_conversion,[],[f4244]) ).
cnf(s236,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_276
| spl25_280 ),
inference(sat_conversion,[],[f4252]) ).
cnf(s254,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_51
| ~ spl25_257
| ~ spl25_258
| ~ spl25_263 ),
inference(sat_conversion,[],[f4748]) ).
cnf(s262,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_50
| ~ spl25_276
| ~ spl25_277
| ~ spl25_282 ),
inference(sat_conversion,[],[f4936]) ).
cnf(s879,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_50
| ~ spl25_51
| ~ spl25_264
| ~ spl25_283
| spl25_1179
| spl25_1180 ),
inference(sat_conversion,[],[f29210]) ).
cnf(s881,plain,
( ~ spl25_51
| ~ spl25_57
| ~ spl25_275
| ~ spl25_1101
| ~ spl25_1179 ),
inference(sat_conversion,[],[f29316]) ).
cnf(s882,plain,
( ~ spl25_5
| ~ spl25_49
| ~ spl25_58 ),
inference(sat_conversion,[],[f29511]) ).
cnf(s884,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_9
| spl25_10
| ~ spl25_48
| ~ spl25_50
| ~ spl25_51
| ~ spl25_258
| ~ spl25_262
| ~ spl25_277
| ~ spl25_281
| spl25_1101 ),
inference(sat_conversion,[],[f29523]) ).
cnf(s889,plain,
( spl25_10
| ~ spl25_13
| ~ spl25_51
| ~ spl25_276
| ~ spl25_1180 ),
inference(sat_conversion,[],[f29669]) ).
cnf(s959,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| spl25_9 ),
inference(rat,[],[s9,s11]) ).
cnf(s1004,plain,
spl25_4,
inference(rat,[],[s5,s4,s3]) ).
cnf(s1033,plain,
~ spl25_14,
inference(rat,[],[s44,s1004]) ).
cnf(s1034,plain,
~ spl25_16,
inference(rat,[],[s33,s1004]) ).
cnf(s1067,plain,
( ~ spl25_3
| spl25_5 ),
inference(rat,[],[s2,s1004]) ).
cnf(s1068,plain,
spl25_3,
inference(rat,[],[s1,s3,s4]) ).
cnf(s1079,plain,
spl25_7,
inference(rat,[],[s8,s1004,s1068]) ).
cnf(s1080,plain,
spl25_6,
inference(rat,[],[s7,s1004,s1068]) ).
cnf(s1084,plain,
spl25_5,
inference(rat,[],[s1067,s1068]) ).
cnf(s1102,plain,
spl25_49,
inference(rat,[],[s47,s1080]) ).
cnf(s1105,plain,
spl25_51,
inference(rat,[],[s46,s1080,s1102,s1034,s1079,s1084]) ).
cnf(s1106,plain,
spl25_50,
inference(rat,[],[s45,s1080,s1102,s1034,s1079,s1084]) ).
cnf(s1107,plain,
spl25_15,
inference(rat,[],[s13,s1034,s1080,s1079,s1084]) ).
cnf(s1108,plain,
spl25_8,
inference(rat,[],[s6,s1068,s1079,s1080,s1004,s1084]) ).
cnf(s1124,plain,
~ spl25_58,
inference(rat,[],[s882,s1084,s1102]) ).
cnf(s1128,plain,
spl25_258,
inference(rat,[],[s212,s1105]) ).
cnf(s1129,plain,
spl25_257,
inference(rat,[],[s211,s1105]) ).
cnf(s1130,plain,
spl25_256,
inference(rat,[],[s210,s1105]) ).
cnf(s1132,plain,
spl25_277,
inference(rat,[],[s231,s1106]) ).
cnf(s1133,plain,
spl25_276,
inference(rat,[],[s230,s1106]) ).
cnf(s1134,plain,
spl25_275,
inference(rat,[],[s229,s1106]) ).
cnf(s1139,plain,
~ spl25_12,
inference(rat,[],[s14,s1107]) ).
cnf(s1140,plain,
spl25_48,
inference(rat,[],[s43,s1084,s1033,s1080,s1079,s1068,s1004,s1108]) ).
cnf(s1141,plain,
spl25_13,
inference(rat,[],[s12,s1033,s1084,s1080,s1079,s1068,s1004,s1108]) ).
cnf(s1142,plain,
spl25_9,
inference(rat,[],[s959,s1084,s1080,s1079,s1068,s1004,s1108]) ).
cnf(s1149,plain,
spl25_260,
inference(rat,[],[s216,s1068,s1004,s1128]) ).
cnf(s1152,plain,
spl25_261,
inference(rat,[],[s217,s1068,s1004,s1129]) ).
cnf(s1153,plain,
~ spl25_263,
inference(rat,[],[s254,s1105,s1128,s1068,s1004,s1129]) ).
cnf(s1159,plain,
spl25_279,
inference(rat,[],[s235,s1068,s1004,s1132]) ).
cnf(s1168,plain,
spl25_280,
inference(rat,[],[s236,s1068,s1004,s1133]) ).
cnf(s1169,plain,
~ spl25_282,
inference(rat,[],[s262,s1106,s1132,s1068,s1004,s1133]) ).
cnf(s1176,plain,
spl25_11,
inference(rat,[],[s10,s1084,s1080,s1079,s1139]) ).
cnf(s1177,plain,
~ spl25_1180,
inference(rat,[],[s889,s1133,s1105,s11,s1141]) ).
cnf(s1213,plain,
spl25_278,
inference(rat,[],[s228,s1106,s1132,s1133,s1134,s1068,s1004,s1176]) ).
cnf(s1214,plain,
spl25_259,
inference(rat,[],[s209,s1130,s1128,s1129,s1084,s1105,s1102,s1068,s1004,s1176]) ).
cnf(s1215,plain,
spl25_57,
inference(rat,[],[s50,s1124,s1084,s1105,s1106,s1102,s1068,s1004,s1176]) ).
cnf(s1222,plain,
spl25_283,
inference(rat,[],[s233,s1159,s1169,s1168,s1004,s1213]) ).
cnf(s1223,plain,
spl25_281,
inference(rat,[],[s232,s1169,s1159,s1168,s1004,s1213]) ).
cnf(s1225,plain,
spl25_264,
inference(rat,[],[s214,s1149,s1153,s1152,s1004,s1214]) ).
cnf(s1226,plain,
spl25_262,
inference(rat,[],[s213,s1153,s1149,s1152,s1004,s1214]) ).
cnf(s1229,plain,
spl25_1179,
inference(rat,[],[s879,s1177,s1222,s1142,s1106,s1105,s1068,s1004,s1225]) ).
cnf(s1230,plain,
spl25_1101,
inference(rat,[],[s884,s1223,s1142,s1132,s1140,s1128,s1105,s1106,s1084,s11,s1080,s1079,s1068,s1004,s1226]) ).
cnf(s1231,plain,
$false,
inference(rat,[],[s881,s1215,s1134,s1105,s1229,s1230]) ).
fof(f29670,plain,
$false,
inference(avatar_sat_refutation,[],[s1231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:24:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 11.74/2.38 % (2199303)Detected formulas, will run a generic FOF schedule.
% 11.74/2.38 % (2199309)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=738761658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.74/2.38 % (2199312)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=336372108:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.74/2.38 % (2199308)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=1596882611:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.74/2.38 % (2199310)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=2201306097:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.74/2.38 % (2199314)dis-21_1_sil=8000:lcm=predicate:random_seed=3582662016: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)
% 11.74/2.38 % (2199311)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2062824890:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.74/2.38 % (2199313)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1510748073:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.74/2.38 % (2199311)Refutation not found, incomplete strategy
% 11.74/2.38 % (2199311)------------------------------
% 11.74/2.38 % (2199311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.38 % (2199311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.38 % (2199311)CaDiCaL version: 2.1.3
% 11.74/2.38 % (2199311)Termination reason: Refutation not found, incomplete strategy
% 11.74/2.38 % (2199311)Time elapsed: 0.003 s
% 11.74/2.38 % (2199311)Peak memory usage: 88 MB
% 11.74/2.38 % (2199311)Instructions burned: 3 (million)
% 11.74/2.38 % (2199312)Instruction limit reached!
% 11.74/2.38 % (2199312)------------------------------
% 11.74/2.38 % (2199312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.38 % (2199312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.38 % (2199312)CaDiCaL version: 2.1.3
% 11.74/2.38 % (2199312)Termination reason: Instruction limit
% 11.74/2.38 % (2199312)Termination phase: Saturation
% 11.74/2.38 % (2199312)Time elapsed: 0.068 s
% 11.74/2.38 % (2199312)Peak memory usage: 88 MB
% 11.74/2.38 % (2199312)Instructions burned: 120 (million)
% 11.74/2.38 % (2199314)Instruction limit reached!
% 11.74/2.38 % (2199314)------------------------------
% 11.74/2.38 % (2199314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.38 % (2199314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.38 % (2199314)CaDiCaL version: 2.1.3
% 11.74/2.38 % (2199314)Termination reason: Instruction limit
% 11.74/2.38 % (2199314)Termination phase: Saturation
% 11.74/2.38 % (2199314)Time elapsed: 0.074 s
% 11.74/2.38 % (2199314)Peak memory usage: 88 MB
% 11.74/2.38 % (2199314)Instructions burned: 132 (million)
% 11.74/2.38 % (2199313)Instruction limit reached!
% 11.74/2.38 % (2199313)------------------------------
% 11.74/2.38 % (2199313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.38 % (2199313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.38 % (2199313)CaDiCaL version: 2.1.3
% 11.74/2.38 % (2199313)Termination reason: Instruction limit
% 11.74/2.38 % (2199313)Termination phase: Saturation
% 11.74/2.38 % (2199313)Time elapsed: 0.095 s
% 11.74/2.38 % (2199313)Peak memory usage: 90 MB
% 11.74/2.38 % (2199313)Instructions burned: 140 (million)
% 11.74/2.38 % (2199323)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3436628878:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.74/2.38 % (2199322)lrs+10_1_sil=8000:sp=occurrence:random_seed=4257172826:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.74/2.38 % (2199311)------------------------------
% 11.74/2.38 % (2199311)------------------------------
% 11.74/2.38 % (2199324)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3629775253:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.74/2.38 % (2199323)Instruction limit reached!
% 11.74/2.38 % (2199323)------------------------------
% 11.74/2.38 % (2199323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/3.35 % (2199323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/3.35 % (2199323)CaDiCaL version: 2.1.3
% 18.69/3.35 % (2199323)Termination reason: Instruction limit
% 18.69/3.35 % (2199323)Termination phase: Saturation
% 18.69/3.35 % (2199323)Time elapsed: 0.081 s
% 18.69/3.35 % (2199323)Peak memory usage: 91 MB
% 18.69/3.35 % (2199323)Instructions burned: 158 (million)
% 18.69/3.35 % (2199327)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=1610839967:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.69/3.35 % (2199322)Instruction limit reached!
% 18.69/3.35 % (2199322)------------------------------
% 18.69/3.35 % (2199322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/3.35 % (2199322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/3.35 % (2199322)CaDiCaL version: 2.1.3
% 18.69/3.35 % (2199322)Termination reason: Instruction limit
% 18.69/3.35 % (2199322)Termination phase: Saturation
% 18.69/3.35 % (2199322)Time elapsed: 0.178 s
% 18.69/3.35 % (2199322)Peak memory usage: 93 MB
% 18.69/3.35 % (2199322)Instructions burned: 285 (million)
% 18.69/3.35 % (2199324)Instruction limit reached!
% 18.69/3.35 % (2199324)------------------------------
% 18.69/3.35 % (2199324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/3.35 % (2199324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/3.35 % (2199324)CaDiCaL version: 2.1.3
% 18.69/3.35 % (2199324)Termination reason: Instruction limit
% 18.69/3.35 % (2199324)Termination phase: Saturation
% 18.69/3.35 % (2199324)Time elapsed: 0.186 s
% 18.69/3.35 % (2199324)Peak memory usage: 92 MB
% 18.69/3.35 % (2199324)Instructions burned: 326 (million)
% 18.69/3.35 % (2199327)Instruction limit reached!
% 18.69/3.35 % (2199327)------------------------------
% 18.69/3.35 % (2199327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/3.35 % (2199327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/3.35 % (2199327)CaDiCaL version: 2.1.3
% 18.69/3.35 % (2199327)Termination reason: Instruction limit
% 18.69/3.35 % (2199327)Termination phase: Saturation
% 18.69/3.35 % (2199327)Time elapsed: 0.077 s
% 18.69/3.35 % (2199327)Peak memory usage: 92 MB
% 18.69/3.35 % (2199327)Instructions burned: 251 (million)
% 18.69/3.35 % (2199329)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4242036564:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.69/3.35 % (2199329)Refutation not found, incomplete strategy
% 18.69/3.35 % (2199329)------------------------------
% 18.69/3.35 % (2199329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/3.35 % (2199329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/3.35 % (2199329)CaDiCaL version: 2.1.3
% 18.69/3.35 % (2199329)Termination reason: Refutation not found, incomplete strategy
% 18.69/3.35 % (2199329)Time elapsed: 0.006 s
% 18.69/3.35 % (2199329)Peak memory usage: 88 MB
% 18.69/3.35 % (2199329)Instructions burned: 7 (million)
% 18.69/3.35 % (2199331)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3473257240:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.69/3.35 % (2199333)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4115818572:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.69/3.35 % (2199333)Instruction limit reached!
% 18.69/3.35 % (2199333)------------------------------
% 18.69/3.35 % (2199333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/3.35 % (2199333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/3.35 % (2199333)CaDiCaL version: 2.1.3
% 18.69/3.35 % (2199333)Termination reason: Instruction limit
% 18.69/3.35 % (2199333)Termination phase: Saturation
% 18.69/3.35 % (2199333)Time elapsed: 0.035 s
% 18.69/3.35 % (2199333)Peak memory usage: 89 MB
% 18.69/3.35 % (2199333)Instructions burned: 128 (million)
% 18.69/3.35 % (2199332)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=757456421:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 18.69/3.35 % (2199332)Instruction limit reached!
% 18.69/3.35 % (2199332)------------------------------
% 18.69/3.35 % (2199332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.69/3.35 % (2199332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.69/3.35 % (2199332)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199332)Termination reason: Instruction limit
% 33.15/5.36 % (2199332)Termination phase: Saturation
% 33.15/5.36 % (2199332)Time elapsed: 0.069 s
% 33.15/5.36 % (2199332)Peak memory usage: 91 MB
% 33.15/5.36 % (2199332)Instructions burned: 114 (million)
% 33.15/5.36 % (2199329)------------------------------
% 33.15/5.36 % (2199329)------------------------------
% 33.15/5.36 % (2199337)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1180103214:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 33.15/5.36 % (2199337)Instruction limit reached!
% 33.15/5.36 % (2199337)------------------------------
% 33.15/5.36 % (2199337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199337)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199337)Termination reason: Instruction limit
% 33.15/5.36 % (2199337)Termination phase: Saturation
% 33.15/5.36 % (2199337)Time elapsed: 0.036 s
% 33.15/5.36 % (2199337)Peak memory usage: 89 MB
% 33.15/5.36 % (2199337)Instructions burned: 115 (million)
% 33.15/5.36 % (2199339)lrs+10_1_sil=8000:sp=occurrence:random_seed=1344691230:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 33.15/5.36 % (2199342)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4191533659:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 33.15/5.36 % (2199341)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1920642551:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 33.15/5.36 % (2199341)Refutation not found, incomplete strategy
% 33.15/5.36 % (2199341)------------------------------
% 33.15/5.36 % (2199341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199341)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199341)Termination reason: Refutation not found, incomplete strategy
% 33.15/5.36 % (2199341)Time elapsed: 0.006 s
% 33.15/5.36 % (2199341)Peak memory usage: 88 MB
% 33.15/5.36 % (2199341)Instructions burned: 8 (million)
% 33.15/5.36 % (2199341)------------------------------
% 33.15/5.36 % (2199341)------------------------------
% 33.15/5.36 % (2199346)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=888477870:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 33.15/5.36 % (2199346)Instruction limit reached!
% 33.15/5.36 % (2199346)------------------------------
% 33.15/5.36 % (2199346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199346)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199346)Termination reason: Instruction limit
% 33.15/5.36 % (2199346)Termination phase: Saturation
% 33.15/5.36 % (2199346)Time elapsed: 0.076 s
% 33.15/5.36 % (2199346)Peak memory usage: 90 MB
% 33.15/5.36 % (2199346)Instructions burned: 136 (million)
% 33.15/5.36 % (2199339)Instruction limit reached!
% 33.15/5.36 % (2199339)------------------------------
% 33.15/5.36 % (2199339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199339)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199339)Termination reason: Instruction limit
% 33.15/5.36 % (2199339)Termination phase: Saturation
% 33.15/5.36 % (2199339)Time elapsed: 0.526 s
% 33.15/5.36 % (2199339)Peak memory usage: 102 MB
% 33.15/5.36 % (2199339)Instructions burned: 907 (million)
% 33.15/5.36 % (2199348)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2581185113:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 33.15/5.36 % (2199349)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3239484903:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 33.15/5.36 % (2199348)Refutation not found, incomplete strategy
% 33.15/5.36 % (2199348)------------------------------
% 33.15/5.36 % (2199348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199348)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199348)Termination reason: Refutation not found, incomplete strategy
% 33.15/5.36 % (2199348)Time elapsed: 0.006 s
% 33.15/5.36 % (2199348)Peak memory usage: 88 MB
% 33.15/5.36 % (2199348)Instructions burned: 9 (million)
% 33.15/5.36 % (2199348)------------------------------
% 33.15/5.36 % (2199348)------------------------------
% 33.15/5.36 % (2199352)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3676852468:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 33.15/5.36 % (2199352)Instruction limit reached!
% 33.15/5.36 % (2199352)------------------------------
% 33.15/5.36 % (2199352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199352)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199352)Termination reason: Instruction limit
% 33.15/5.36 % (2199352)Termination phase: Saturation
% 33.15/5.36 % (2199352)Time elapsed: 0.078 s
% 33.15/5.36 % (2199352)Peak memory usage: 90 MB
% 33.15/5.36 % (2199352)Instructions burned: 127 (million)
% 33.15/5.36 % (2199331)Instruction limit reached!
% 33.15/5.36 % (2199331)------------------------------
% 33.15/5.36 % (2199331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199331)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199331)Termination reason: Instruction limit
% 33.15/5.36 % (2199331)Termination phase: Saturation
% 33.15/5.36 % (2199331)Time elapsed: 1.543 s
% 33.15/5.36 % (2199331)Peak memory usage: 141 MB
% 33.15/5.36 % (2199331)Instructions burned: 2350 (million)
% 33.15/5.36 % (2199354)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3780246793:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 33.15/5.36 % (2199354)Instruction limit reached!
% 33.15/5.36 % (2199354)------------------------------
% 33.15/5.36 % (2199354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199354)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199354)Termination reason: Instruction limit
% 33.15/5.36 % (2199354)Termination phase: Saturation
% 33.15/5.36 % (2199354)Time elapsed: 0.075 s
% 33.15/5.36 % (2199354)Peak memory usage: 89 MB
% 33.15/5.36 % (2199354)Instructions burned: 135 (million)
% 33.15/5.36 % (2199355)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3376119596:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 33.15/5.36 % (2199355)Instruction limit reached!
% 33.15/5.36 % (2199355)------------------------------
% 33.15/5.36 % (2199355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199355)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199355)Termination reason: Instruction limit
% 33.15/5.36 % (2199355)Termination phase: Saturation
% 33.15/5.36 % (2199355)Time elapsed: 0.075 s
% 33.15/5.36 % (2199355)Peak memory usage: 93 MB
% 33.15/5.36 % (2199355)Instructions burned: 141 (million)
% 33.15/5.36 % (2199357)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2935172092:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 33.15/5.36 % (2199357)Refutation not found, incomplete strategy
% 33.15/5.36 % (2199357)------------------------------
% 33.15/5.36 % (2199357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199357)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199357)Termination reason: Refutation not found, incomplete strategy
% 33.15/5.36 % (2199357)Time elapsed: 0.004 s
% 33.15/5.36 % (2199357)Peak memory usage: 88 MB
% 33.15/5.36 % (2199357)Instructions burned: 5 (million)
% 33.15/5.36 % (2199342)Instruction limit reached!
% 33.15/5.36 % (2199342)------------------------------
% 33.15/5.36 % (2199342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199342)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199342)Termination reason: Instruction limit
% 33.15/5.36 % (2199342)Termination phase: Saturation
% 33.15/5.36 % (2199342)Time elapsed: 1.593 s
% 33.15/5.36 % (2199342)Peak memory usage: 155 MB
% 33.15/5.36 % (2199342)Instructions burned: 5206 (million)
% 33.15/5.36 % (2199359)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2230504970:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 33.15/5.36 % (2199361)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=879746960:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 33.15/5.36 % (2199361)Instruction limit reached!
% 33.15/5.36 % (2199361)------------------------------
% 33.15/5.36 % (2199361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199361)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199361)Termination reason: Instruction limit
% 33.15/5.36 % (2199361)Termination phase: Saturation
% 33.15/5.36 % (2199361)Time elapsed: 0.045 s
% 33.15/5.36 % (2199361)Peak memory usage: 91 MB
% 33.15/5.36 % (2199361)Instructions burned: 152 (million)
% 33.15/5.36 % (2199357)------------------------------
% 33.15/5.36 % (2199357)------------------------------
% 33.15/5.36 % (2199364)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=736348407:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 33.15/5.36 % (2199365)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=869697712:i=667:av=off:fsr=off_2971 on theBenchmark for (2971ds/667Mi)
% 33.15/5.36 % (2199365)Instruction limit reached!
% 33.15/5.36 % (2199365)------------------------------
% 33.15/5.36 % (2199365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199365)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199365)Termination reason: Instruction limit
% 33.15/5.36 % (2199365)Termination phase: Saturation
% 33.15/5.36 % (2199365)Time elapsed: 0.299 s
% 33.15/5.36 % (2199365)Peak memory usage: 97 MB
% 33.15/5.36 % (2199365)Instructions burned: 669 (million)
% 33.15/5.36 % (2199368)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3493720484:s2a=on:i=185:s2at=1.8:fdi=4_2966 on theBenchmark for (2966ds/185Mi)
% 33.15/5.36 % (2199368)Instruction limit reached!
% 33.15/5.36 % (2199368)------------------------------
% 33.15/5.36 % (2199368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199368)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199368)Termination reason: Instruction limit
% 33.15/5.36 % (2199368)Termination phase: Saturation
% 33.15/5.36 % (2199368)Time elapsed: 0.096 s
% 33.15/5.36 % (2199368)Peak memory usage: 91 MB
% 33.15/5.36 % (2199368)Instructions burned: 186 (million)
% 33.15/5.36 % (2199370)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3818869413:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2964 on theBenchmark for (2964ds/193Mi)
% 33.15/5.36 % (2199370)Instruction limit reached!
% 33.15/5.36 % (2199370)------------------------------
% 33.15/5.36 % (2199370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.15/5.36 % (2199370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.36 % (2199370)CaDiCaL version: 2.1.3
% 33.15/5.36 % (2199370)Termination reason: Instruction limit
% 33.15/5.36 % (2199370)Termination phase: Saturation
% 33.15/5.36 % (2199370)Time elapsed: 0.108 s
% 33.15/5.36 % (2199370)Peak memory usage: 91 MB
% 33.15/5.36 % (2199370)Instructions burned: 194 (million)
% 33.15/5.36 % (2199372)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2059425946:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2961 on theBenchmark for (2961ds/4850Mi)
% 33.15/5.36 % (2199308)First to succeed.
% 33.15/5.36 % (2199308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2199303"
% 33.15/5.36 % (2199308)Refutation found. Thanks to Tanya!
% 33.15/5.36 % SZS status Theorem for theBenchmark
% 33.15/5.36 % SZS output start Proof for theBenchmark
% See solution above
% 33.69/5.55 % (2199308)------------------------------
% 33.69/5.55 % (2199308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.69/5.55 % (2199308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.69/5.55 % (2199308)CaDiCaL version: 2.1.3
% 33.69/5.55 % (2199308)Termination reason: Refutation
% 33.69/5.55 % (2199308)Time elapsed: 4.226 s
% 33.69/5.55 % (2199308)Peak memory usage: 180 MB
% 33.69/5.55 % (2199308)Instructions burned: 6696 (million)
% 33.69/5.55 % (2199308)------------------------------
% 33.69/5.55 % (2199308)------------------------------
% 33.69/5.55 % (2199303)Success in time 4.69 s
% 33.69/5.55 % Vampire exiting
%------------------------------------------------------------------------------