%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT343+3 : 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 : n003.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 11:47:07 AM UTC 2026
% Result : Theorem 12.72s 4.91s
% Output : Refutation 22.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 32
% Syntax : Number of formulae : 289 ( 41 unt; 19 def)
% Number of atoms : 1079 ( 142 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1337 ( 547 ~; 597 |; 138 &)
% ( 26 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 34 ( 32 usr; 20 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 3 con; 0-4 aty)
% Number of variables : 258 ( 0 sgn 228 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1394,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(f2017,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(f2211,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f17818,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l1_conlat_1(X0) )
=> ~ v1_xboole_0(u2_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_conlat_1) ).
fof(f17819,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l1_conlat_1(X0) )
=> ~ v1_xboole_0(u1_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_conlat_1) ).
fof(f17862,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
=> ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0)))
=> ( ( ~ v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& r1_tarski(X1,X2) )
=> r1_tarski(k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_1) ).
fof(f17864,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
=> ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0)))
=> ( ( ~ v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& r1_tarski(X1,X3) )
=> r1_tarski(k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1)),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_conlat_1) ).
fof(f17911,axiom,
! [X0] :
( l2_conlat_1(X0)
=> l1_conlat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(f18284,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_conlat_2) ).
fof(f18285,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_conlat_2) ).
fof(f18306,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
=> ( X1 = k4_conlat_2(X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_conlat_1(X0))
=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_conlat_2) ).
fof(f18307,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
=> ( X1 = k5_conlat_2(X0)
<=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_conlat_2) ).
fof(f18308,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_conlat_2) ).
fof(f18309,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f18308]) ).
fof(f18367,plain,
! [X0] :
( ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18284]) ).
fof(f18368,plain,
! [X0] :
( ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18367]) ).
fof(f18369,plain,
! [X0] :
( ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18285]) ).
fof(f18370,plain,
! [X0] :
( ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18369]) ).
fof(f18411,plain,
! [X0] :
( ! [X1] :
( ( X1 = k4_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) )
| ~ m1_subset_1(X2,u1_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18306]) ).
fof(f18412,plain,
! [X0] :
( ! [X1] :
( ( X1 = k4_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) )
| ~ m1_subset_1(X2,u1_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18411]) ).
fof(f18413,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) )
| ~ m1_subset_1(X2,u2_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18307]) ).
fof(f18414,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) )
| ~ m1_subset_1(X2,u2_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18413]) ).
fof(f18415,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) )
& m1_subset_1(X2,u2_conlat_1(X0)) )
& m1_subset_1(X1,u1_conlat_1(X0)) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18309]) ).
fof(f18416,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) )
& m1_subset_1(X2,u2_conlat_1(X0)) )
& m1_subset_1(X1,u1_conlat_1(X0)) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f18415]) ).
fof(f18595,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,[],[f2017]) ).
fof(f18596,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,[],[f18595]) ).
fof(f18716,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f2211]) ).
fof(f18717,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f18716]) ).
fof(f18724,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1)),X3)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f17864]) ).
fof(f18725,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1)),X3)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18724]) ).
fof(f18728,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X2)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f17862]) ).
fof(f18729,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X2)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f18728]) ).
fof(f19978,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f17911]) ).
fof(f19987,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f17819]) ).
fof(f19988,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(flattening,[],[f19987]) ).
fof(f19989,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f17818]) ).
fof(f19990,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(flattening,[],[f19989]) ).
fof(f22781,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k4_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) != g3_conlat_1(X0,X3,X4)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) != X4 ) )
& m1_subset_1(X2,u1_conlat_1(X0)) ) )
& ( ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) )
| ~ m1_subset_1(X2,u1_conlat_1(X0)) )
| k4_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f18412]) ).
fof(f22782,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k4_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) != g3_conlat_1(X0,X3,X4)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) != X4 ) )
& m1_subset_1(X2,u1_conlat_1(X0)) ) )
& ( ! [X5] :
( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,X6,X7)
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = X6
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = X7 ) )
| ~ m1_subset_1(X5,u1_conlat_1(X0)) )
| k4_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rectify,[],[f22781]) ).
fof(f22783,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k4_conlat_2(X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,sK29(X0,X1))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),sK29(X0,X1)))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),sK29(X0,X1))) != X4 ) )
& m1_subset_1(sK29(X0,X1),u1_conlat_1(X0)) ) )
& ( ! [X5] :
( ( m1_subset_1(sK30(X0,X1,X5),k1_zfmisc_1(u1_conlat_1(X0)))
& m1_subset_1(sK31(X0,X1,X5),k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK30(X0,X1,X5),sK31(X0,X1,X5))
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = sK30(X0,X1,X5)
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = sK31(X0,X1,X5) )
| ~ m1_subset_1(X5,u1_conlat_1(X0)) )
| k4_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30,sK31]),skolemize(X2,sK29(X0,X1)),skolemize(X6,sK30(X0,X1,X5)),skolemize(X7,sK31(X0,X1,X5))],[f22782]) ).
fof(f22784,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2)) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) != X4 ) )
& m1_subset_1(X2,u2_conlat_1(X0)) ) )
& ( ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) )
| ~ m1_subset_1(X2,u2_conlat_1(X0)) )
| k5_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f18414]) ).
fof(f22785,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2)) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) != X4 ) )
& m1_subset_1(X2,u2_conlat_1(X0)) ) )
& ( ! [X5] :
( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u2_conlat_1(X0)))
& g3_conlat_1(X0,X6,X7) = k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5)
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = X6
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = X7 ) )
| ~ m1_subset_1(X5,u2_conlat_1(X0)) )
| k5_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rectify,[],[f22784]) ).
fof(f22786,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_conlat_2(X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,sK32(X0,X1))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),sK32(X0,X1))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),sK32(X0,X1)))) != X4 ) )
& m1_subset_1(sK32(X0,X1),u2_conlat_1(X0)) ) )
& ( ! [X5] :
( ( m1_subset_1(sK33(X0,X1,X5),k1_zfmisc_1(u1_conlat_1(X0)))
& m1_subset_1(sK34(X0,X1,X5),k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK33(X0,X1,X5),sK34(X0,X1,X5))
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = sK33(X0,X1,X5)
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = sK34(X0,X1,X5) )
| ~ m1_subset_1(X5,u2_conlat_1(X0)) )
| k5_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34]),skolemize(X2,sK32(X0,X1)),skolemize(X6,sK33(X0,X1,X5)),skolemize(X7,sK34(X0,X1,X5))],[f22785]) ).
fof(f22787,plain,
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35) )
& m1_subset_1(sK37,u2_conlat_1(sK35))
& m1_subset_1(sK36,u1_conlat_1(sK35))
& ~ v3_conlat_1(sK35)
& l2_conlat_1(sK35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36,sK37]),skolemize(X0,sK35),skolemize(X1,sK36),skolemize(X2,sK37)],[f18416]) ).
fof(f22886,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,[],[f1394]) ).
fof(f24254,plain,
! [X0] :
( m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18368]) ).
fof(f24255,plain,
! [X0] :
( v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18368]) ).
fof(f24256,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k4_conlat_2(X0)) ),
inference(cnf_transformation,[],[f18368]) ).
fof(f24257,plain,
! [X0] :
( m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18370]) ).
fof(f24258,plain,
! [X0] :
( v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18370]) ).
fof(f24259,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k5_conlat_2(X0)) ),
inference(cnf_transformation,[],[f18370]) ).
fof(f24310,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = sK31(X0,X1,X5)
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k4_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f22783]) ).
fof(f24311,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = sK30(X0,X1,X5)
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k4_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f22783]) ).
fof(f24312,plain,
! [X0,X1,X5] :
( k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK30(X0,X1,X5),sK31(X0,X1,X5))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k4_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f22783]) ).
fof(f24317,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = sK34(X0,X1,X5)
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k5_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f22786]) ).
fof(f24318,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = sK33(X0,X1,X5)
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k5_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f22786]) ).
fof(f24319,plain,
! [X0,X1,X5] :
( k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK33(X0,X1,X5),sK34(X0,X1,X5))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k5_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f22786]) ).
fof(f24324,plain,
l2_conlat_1(sK35),
inference(cnf_transformation,[],[f22787]) ).
fof(f24325,plain,
~ v3_conlat_1(sK35),
inference(cnf_transformation,[],[f22787]) ).
fof(f24326,plain,
m1_subset_1(sK36,u1_conlat_1(sK35)),
inference(cnf_transformation,[],[f22787]) ).
fof(f24327,plain,
m1_subset_1(sK37,u2_conlat_1(sK35)),
inference(cnf_transformation,[],[f22787]) ).
fof(f24328,plain,
( v7_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35) ),
inference(cnf_transformation,[],[f22787]) ).
fof(f24728,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)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f18596]) ).
fof(f24890,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f18717]) ).
fof(f24902,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
| v3_conlat_1(X0)
| l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0) ),
inference(cnf_transformation,[],[f18725]) ).
fof(f24903,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
| v3_conlat_1(X0)
| v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0) ),
inference(cnf_transformation,[],[f18725]) ).
fof(f24904,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0) ),
inference(cnf_transformation,[],[f18725]) ).
fof(f24911,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
| v3_conlat_1(X0)
| l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0) ),
inference(cnf_transformation,[],[f18729]) ).
fof(f24912,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
| v3_conlat_1(X0)
| v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0) ),
inference(cnf_transformation,[],[f18729]) ).
fof(f24913,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0) ),
inference(cnf_transformation,[],[f18729]) ).
fof(f24925,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f22886]) ).
fof(f26844,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f19978]) ).
fof(f26858,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f19988]) ).
fof(f26859,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f19990]) ).
fof(f31953,plain,
! [X0,X5] :
( ~ v1_funct_1(k4_conlat_2(X0))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X5) = g3_conlat_1(X0,sK30(X0,k4_conlat_2(X0),X5),sK31(X0,k4_conlat_2(X0),X5))
| ~ v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f24312]) ).
fof(f31954,plain,
! [X0,X5] :
( ~ v1_funct_1(k4_conlat_2(X0))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = sK30(X0,k4_conlat_2(X0),X5)
| ~ v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f24311]) ).
fof(f31955,plain,
! [X0,X5] :
( ~ v1_funct_1(k4_conlat_2(X0))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = sK31(X0,k4_conlat_2(X0),X5)
| ~ v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f24310]) ).
fof(f31960,plain,
! [X0,X5] :
( ~ v1_funct_1(k5_conlat_2(X0))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X5) = g3_conlat_1(X0,sK33(X0,k5_conlat_2(X0),X5),sK34(X0,k5_conlat_2(X0),X5))
| ~ v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f24319]) ).
fof(f31961,plain,
! [X0,X5] :
( ~ v1_funct_1(k5_conlat_2(X0))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = sK33(X0,k5_conlat_2(X0),X5)
| ~ v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f24318]) ).
fof(f31962,plain,
! [X0,X5] :
( ~ v1_funct_1(k5_conlat_2(X0))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = sK34(X0,k5_conlat_2(X0),X5)
| ~ v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f24317]) ).
fof(f32775,definition,
( spl923_12
<=> l3_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_12])],[avatar_definition]) ).
fof(f32776,plain,
( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| spl923_12 ),
inference(avatar_component_clause,[],[f32775]) ).
fof(f32778,definition,
( spl923_13
<=> v9_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_13])],[avatar_definition]) ).
fof(f32779,plain,
( ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| spl923_13 ),
inference(avatar_component_clause,[],[f32778]) ).
fof(f32781,definition,
( spl923_14
<=> v7_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_14])],[avatar_definition]) ).
fof(f32782,plain,
( v7_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ spl923_14 ),
inference(avatar_component_clause,[],[f32781]) ).
fof(f32784,definition,
( spl923_15
<=> l3_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_15])],[avatar_definition]) ).
fof(f32785,plain,
( ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| spl923_15 ),
inference(avatar_component_clause,[],[f32784]) ).
fof(f32787,definition,
( spl923_16
<=> v9_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_16])],[avatar_definition]) ).
fof(f32788,plain,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| spl923_16 ),
inference(avatar_component_clause,[],[f32787]) ).
fof(f32790,definition,
( spl923_17
<=> v7_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_17])],[avatar_definition]) ).
fof(f32791,plain,
( v7_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ spl923_17 ),
inference(avatar_component_clause,[],[f32790]) ).
fof(f32792,plain,
( ~ spl923_12
| ~ spl923_13
| spl923_14
| ~ spl923_15
| ~ spl923_16
| spl923_17 ),
inference(avatar_split_clause,[],[f24328,f32790,f32787,f32784,f32781,f32778,f32775]) ).
fof(f32881,plain,
( v3_conlat_1(sK35)
| v1_funct_1(k4_conlat_2(sK35)) ),
inference(resolution,[],[f24256,f24324]) ).
fof(f32882,plain,
v1_funct_1(k4_conlat_2(sK35)),
inference(forward_subsumption_resolution,[],[f32881,f24325]) ).
fof(f32883,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0))) = sK30(sK35,k4_conlat_2(sK35),X0)
| ~ v1_funct_2(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| ~ m2_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(resolution,[],[f32882,f31954]) ).
fof(f32884,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0)) = sK31(sK35,k4_conlat_2(sK35),X0)
| ~ v1_funct_2(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| ~ m2_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(resolution,[],[f32882,f31955]) ).
fof(f32885,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),X0),sK31(sK35,k4_conlat_2(sK35),X0))
| ~ v1_funct_2(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| ~ m2_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(resolution,[],[f32882,f31953]) ).
fof(f32886,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),X0),sK31(sK35,k4_conlat_2(sK35),X0))
| ~ m2_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32885,f24255]) ).
fof(f32887,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0)) = sK31(sK35,k4_conlat_2(sK35),X0)
| ~ m2_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32884,f24255]) ).
fof(f32888,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0))) = sK30(sK35,k4_conlat_2(sK35),X0)
| ~ m2_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32883,f24255]) ).
fof(f32889,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),X0),sK31(sK35,k4_conlat_2(sK35),X0))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32886,f24254]) ).
fof(f32890,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0)) = sK31(sK35,k4_conlat_2(sK35),X0)
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32887,f24254]) ).
fof(f32891,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0))) = sK30(sK35,k4_conlat_2(sK35),X0)
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32888,f24254]) ).
fof(f32892,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),X0),sK31(sK35,k4_conlat_2(sK35),X0))
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32889,f24325]) ).
fof(f32893,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0)) = sK31(sK35,k4_conlat_2(sK35),X0)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32890,f24325]) ).
fof(f32894,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0))) = sK30(sK35,k4_conlat_2(sK35),X0)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32891,f24325]) ).
fof(f32895,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),X0),sK31(sK35,k4_conlat_2(sK35),X0)) ),
inference(forward_subsumption_resolution,[],[f32892,f24324]) ).
fof(f32896,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0)) = sK31(sK35,k4_conlat_2(sK35),X0) ),
inference(forward_subsumption_resolution,[],[f32893,f24324]) ).
fof(f32897,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),X0))) = sK30(sK35,k4_conlat_2(sK35),X0) ),
inference(forward_subsumption_resolution,[],[f32894,f24324]) ).
fof(f32898,plain,
k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),sK36)) = sK31(sK35,k4_conlat_2(sK35),sK36),
inference(resolution,[],[f32896,f24326]) ).
fof(f32899,plain,
k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k6_domain_1(u1_conlat_1(sK35),sK36))) = sK30(sK35,k4_conlat_2(sK35),sK36),
inference(resolution,[],[f32897,f24326]) ).
fof(f32900,plain,
sK30(sK35,k4_conlat_2(sK35),sK36) = k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),sK31(sK35,k4_conlat_2(sK35),sK36)),
inference(forward_demodulation,[],[f32899,f32898]) ).
fof(f32901,plain,
( v3_conlat_1(sK35)
| v1_funct_1(k5_conlat_2(sK35)) ),
inference(resolution,[],[f24259,f24324]) ).
fof(f32902,plain,
v1_funct_1(k5_conlat_2(sK35)),
inference(forward_subsumption_resolution,[],[f32901,f24325]) ).
fof(f32903,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0))) = sK34(sK35,k5_conlat_2(sK35),X0)
| ~ v1_funct_2(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| ~ m2_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(resolution,[],[f32902,f31962]) ).
fof(f32904,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0)) = sK33(sK35,k5_conlat_2(sK35),X0)
| ~ v1_funct_2(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| ~ m2_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(resolution,[],[f32902,f31961]) ).
fof(f32905,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),X0),sK34(sK35,k5_conlat_2(sK35),X0))
| ~ v1_funct_2(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| ~ m2_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(resolution,[],[f32902,f31960]) ).
fof(f32906,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),X0),sK34(sK35,k5_conlat_2(sK35),X0))
| ~ m2_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32905,f24258]) ).
fof(f32907,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0)) = sK33(sK35,k5_conlat_2(sK35),X0)
| ~ m2_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32904,f24258]) ).
fof(f32908,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0))) = sK34(sK35,k5_conlat_2(sK35),X0)
| ~ m2_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32903,f24258]) ).
fof(f32909,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),X0),sK34(sK35,k5_conlat_2(sK35),X0))
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32906,f24257]) ).
fof(f32910,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0)) = sK33(sK35,k5_conlat_2(sK35),X0)
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32907,f24257]) ).
fof(f32911,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0))) = sK34(sK35,k5_conlat_2(sK35),X0)
| v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32908,f24257]) ).
fof(f32912,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),X0),sK34(sK35,k5_conlat_2(sK35),X0))
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32909,f24325]) ).
fof(f32913,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0)) = sK33(sK35,k5_conlat_2(sK35),X0)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32910,f24325]) ).
fof(f32914,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0))) = sK34(sK35,k5_conlat_2(sK35),X0)
| ~ l2_conlat_1(sK35) ),
inference(forward_subsumption_resolution,[],[f32911,f24325]) ).
fof(f32915,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),X0),sK34(sK35,k5_conlat_2(sK35),X0)) ),
inference(forward_subsumption_resolution,[],[f32912,f24324]) ).
fof(f32916,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0)) = sK33(sK35,k5_conlat_2(sK35),X0) ),
inference(forward_subsumption_resolution,[],[f32913,f24324]) ).
fof(f32917,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),X0))) = sK34(sK35,k5_conlat_2(sK35),X0) ),
inference(forward_subsumption_resolution,[],[f32914,f24324]) ).
fof(f32918,plain,
k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),sK37)) = sK33(sK35,k5_conlat_2(sK35),sK37),
inference(resolution,[],[f32916,f24327]) ).
fof(f32919,plain,
k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k6_domain_1(u2_conlat_1(sK35),sK37))) = sK34(sK35,k5_conlat_2(sK35),sK37),
inference(resolution,[],[f32917,f24327]) ).
fof(f32920,plain,
sK34(sK35,k5_conlat_2(sK35),sK37) = k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),sK33(sK35,k5_conlat_2(sK35),sK37)),
inference(forward_demodulation,[],[f32919,f32918]) ).
fof(f32923,plain,
k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37) = g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),sK37),sK34(sK35,k5_conlat_2(sK35),sK37)),
inference(resolution,[],[f32915,f24327]) ).
fof(f32926,plain,
k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36) = g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),sK36),sK31(sK35,k4_conlat_2(sK35),sK36)),
inference(resolution,[],[f32895,f24326]) ).
fof(f32947,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ),
inference(resolution,[],[f24925,f24254]) ).
fof(f32948,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ),
inference(resolution,[],[f24925,f24257]) ).
fof(f32949,plain,
( v3_conlat_1(sK35)
| m1_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35))) ),
inference(resolution,[],[f32948,f24324]) ).
fof(f32950,plain,
m1_relset_1(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35))),
inference(forward_subsumption_resolution,[],[f32949,f24325]) ).
fof(f32951,plain,
! [X0] :
( v1_xboole_0(u2_conlat_1(sK35))
| ~ v1_funct_1(k5_conlat_2(sK35))
| ~ v1_funct_2(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = k1_funct_1(k5_conlat_2(sK35),X0)
| ~ m1_subset_1(X0,u2_conlat_1(sK35)) ),
inference(resolution,[],[f32950,f24728]) ).
fof(f32954,plain,
! [X0] :
( v1_xboole_0(u2_conlat_1(sK35))
| ~ v1_funct_2(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = k1_funct_1(k5_conlat_2(sK35),X0)
| ~ m1_subset_1(X0,u2_conlat_1(sK35)) ),
inference(forward_subsumption_resolution,[],[f32951,f32902]) ).
fof(f32959,definition,
( spl923_25
<=> v1_funct_2(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35))) ),
introduced(definition,[new_symbols(definition,[spl923_25])],[avatar_definition]) ).
fof(f32960,plain,
( ~ v1_funct_2(k5_conlat_2(sK35),u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| spl923_25 ),
inference(avatar_component_clause,[],[f32959]) ).
fof(f32962,definition,
( spl923_26
<=> v1_xboole_0(u2_conlat_1(sK35)) ),
introduced(definition,[new_symbols(definition,[spl923_26])],[avatar_definition]) ).
fof(f32963,plain,
( v1_xboole_0(u2_conlat_1(sK35))
| ~ spl923_26 ),
inference(avatar_component_clause,[],[f32962]) ).
fof(f32966,definition,
( spl923_27
<=> ! [X0] :
( k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = k1_funct_1(k5_conlat_2(sK35),X0)
| ~ m1_subset_1(X0,u2_conlat_1(sK35)) ) ),
introduced(definition,[new_symbols(definition,[spl923_27])],[avatar_definition]) ).
fof(f32967,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK35))
| k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),X0) = k1_funct_1(k5_conlat_2(sK35),X0) )
| ~ spl923_27 ),
inference(avatar_component_clause,[],[f32966]) ).
fof(f32968,plain,
( spl923_27
| ~ spl923_25
| spl923_26 ),
inference(avatar_split_clause,[],[f32954,f32962,f32959,f32966]) ).
fof(f32969,plain,
( v3_conlat_1(sK35)
| m1_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35))) ),
inference(resolution,[],[f32947,f24324]) ).
fof(f32970,plain,
m1_relset_1(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35))),
inference(forward_subsumption_resolution,[],[f32969,f24325]) ).
fof(f32971,plain,
! [X0] :
( v1_xboole_0(u1_conlat_1(sK35))
| ~ v1_funct_1(k4_conlat_2(sK35))
| ~ v1_funct_2(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = k1_funct_1(k4_conlat_2(sK35),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK35)) ),
inference(resolution,[],[f32970,f24728]) ).
fof(f32974,plain,
! [X0] :
( v1_xboole_0(u1_conlat_1(sK35))
| ~ v1_funct_2(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = k1_funct_1(k4_conlat_2(sK35),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK35)) ),
inference(forward_subsumption_resolution,[],[f32971,f32882]) ).
fof(f32979,definition,
( spl923_29
<=> v1_funct_2(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35))) ),
introduced(definition,[new_symbols(definition,[spl923_29])],[avatar_definition]) ).
fof(f32980,plain,
( ~ v1_funct_2(k4_conlat_2(sK35),u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)))
| spl923_29 ),
inference(avatar_component_clause,[],[f32979]) ).
fof(f32982,definition,
( spl923_30
<=> v1_xboole_0(u1_conlat_1(sK35)) ),
introduced(definition,[new_symbols(definition,[spl923_30])],[avatar_definition]) ).
fof(f32983,plain,
( v1_xboole_0(u1_conlat_1(sK35))
| ~ spl923_30 ),
inference(avatar_component_clause,[],[f32982]) ).
fof(f32986,definition,
( spl923_31
<=> ! [X0] :
( k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = k1_funct_1(k4_conlat_2(sK35),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK35)) ) ),
introduced(definition,[new_symbols(definition,[spl923_31])],[avatar_definition]) ).
fof(f32987,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK35))
| k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),X0) = k1_funct_1(k4_conlat_2(sK35),X0) )
| ~ spl923_31 ),
inference(avatar_component_clause,[],[f32986]) ).
fof(f32988,plain,
( spl923_31
| ~ spl923_29
| spl923_30 ),
inference(avatar_split_clause,[],[f32974,f32982,f32979,f32986]) ).
fof(f32990,plain,
( v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35)
| spl923_29 ),
inference(resolution,[],[f32980,f24255]) ).
fof(f32992,plain,
( ~ l2_conlat_1(sK35)
| spl923_29 ),
inference(forward_subsumption_resolution,[],[f32990,f24325]) ).
fof(f32993,plain,
( $false
| spl923_29 ),
inference(forward_subsumption_resolution,[],[f32992,f24324]) ).
fof(f32994,plain,
spl923_29,
inference(avatar_contradiction_clause,[],[f32993]) ).
fof(f32995,plain,
( v3_conlat_1(sK35)
| ~ l1_conlat_1(sK35)
| ~ spl923_30 ),
inference(resolution,[],[f32983,f26858]) ).
fof(f32996,plain,
( ~ l1_conlat_1(sK35)
| ~ spl923_30 ),
inference(forward_subsumption_resolution,[],[f32995,f24325]) ).
fof(f32998,plain,
( ~ l2_conlat_1(sK35)
| ~ spl923_30 ),
inference(resolution,[],[f32996,f26844]) ).
fof(f33000,plain,
( $false
| ~ spl923_30 ),
inference(forward_subsumption_resolution,[],[f32998,f24324]) ).
fof(f33001,plain,
~ spl923_30,
inference(avatar_contradiction_clause,[],[f33000]) ).
fof(f33002,plain,
( k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36) = k1_funct_1(k4_conlat_2(sK35),sK36)
| ~ spl923_31 ),
inference(resolution,[],[f32987,f24326]) ).
fof(f33005,plain,
( v3_conlat_1(sK35)
| ~ l2_conlat_1(sK35)
| spl923_25 ),
inference(resolution,[],[f32960,f24258]) ).
fof(f33007,plain,
( ~ l2_conlat_1(sK35)
| spl923_25 ),
inference(forward_subsumption_resolution,[],[f33005,f24325]) ).
fof(f33008,plain,
( $false
| spl923_25 ),
inference(forward_subsumption_resolution,[],[f33007,f24324]) ).
fof(f33009,plain,
spl923_25,
inference(avatar_contradiction_clause,[],[f33008]) ).
fof(f33010,plain,
( v3_conlat_1(sK35)
| ~ l1_conlat_1(sK35)
| ~ spl923_26 ),
inference(resolution,[],[f32963,f26859]) ).
fof(f33011,plain,
( ~ l1_conlat_1(sK35)
| ~ spl923_26 ),
inference(forward_subsumption_resolution,[],[f33010,f24325]) ).
fof(f33013,plain,
( ~ l2_conlat_1(sK35)
| ~ spl923_26 ),
inference(resolution,[],[f33011,f26844]) ).
fof(f33015,plain,
( $false
| ~ spl923_26 ),
inference(forward_subsumption_resolution,[],[f33013,f24324]) ).
fof(f33016,plain,
~ spl923_26,
inference(avatar_contradiction_clause,[],[f33015]) ).
fof(f33017,plain,
( k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37) = k1_funct_1(k5_conlat_2(sK35),sK37)
| ~ spl923_27 ),
inference(resolution,[],[f32967,f24327]) ).
fof(f33057,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ v7_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),sK35) ),
inference(resolution,[],[f24913,f24324]) ).
fof(f33058,plain,
! [X0] :
( ~ v7_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),sK35)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_subsumption_resolution,[],[f33057,f24325]) ).
fof(f33059,plain,
( ~ v7_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),sK31(sK35,k4_conlat_2(sK35),sK36)),sK31(sK35,k4_conlat_2(sK35),sK36)),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(superposition,[],[f33058,f32898]) ).
fof(f33068,plain,
( ~ v7_conlat_1(g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),sK36),sK31(sK35,k4_conlat_2(sK35),sK36)),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33059,f32900]) ).
fof(f33069,plain,
( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33068,f32926]) ).
fof(f33070,plain,
( ~ v7_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35)))
| ~ spl923_31 ),
inference(forward_demodulation,[],[f33069,f33002]) ).
fof(f33072,definition,
( spl923_38
<=> m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
introduced(definition,[new_symbols(definition,[spl923_38])],[avatar_definition]) ).
fof(f33075,definition,
( spl923_39
<=> v7_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_39])],[avatar_definition]) ).
fof(f33076,plain,
( ~ v7_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35)
| spl923_39 ),
inference(avatar_component_clause,[],[f33075]) ).
fof(f33077,plain,
( ~ spl923_38
| ~ spl923_39
| ~ spl923_31 ),
inference(avatar_split_clause,[],[f33070,f32986,f33075,f33072]) ).
fof(f33177,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK35)))
| v3_conlat_1(sK35)
| l3_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),sK35) ),
inference(resolution,[],[f24911,f24324]) ).
fof(f33183,plain,
! [X0] :
( l3_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),sK35)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_subsumption_resolution,[],[f33177,f24325]) ).
fof(f33184,plain,
( l3_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),sK31(sK35,k4_conlat_2(sK35),sK36)),sK31(sK35,k4_conlat_2(sK35),sK36)),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(superposition,[],[f33183,f32898]) ).
fof(f33190,plain,
( l3_conlat_1(g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),sK36),sK31(sK35,k4_conlat_2(sK35),sK36)),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33184,f32900]) ).
fof(f33191,plain,
( l3_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33190,f32926]) ).
fof(f33192,plain,
( l3_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35)))
| ~ spl923_31 ),
inference(forward_demodulation,[],[f33191,f33002]) ).
fof(f33194,definition,
( spl923_59
<=> l3_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_59])],[avatar_definition]) ).
fof(f33195,plain,
( l3_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35)
| ~ spl923_59 ),
inference(avatar_component_clause,[],[f33194]) ).
fof(f33196,plain,
( ~ spl923_38
| spl923_59
| ~ spl923_31 ),
inference(avatar_split_clause,[],[f33192,f32986,f33194,f33072]) ).
fof(f33210,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK35)))
| v3_conlat_1(sK35)
| ~ v7_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0))),sK35) ),
inference(resolution,[],[f24904,f24324]) ).
fof(f33216,plain,
! [X0] :
( ~ v7_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0))),sK35)
| ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_subsumption_resolution,[],[f33210,f24325]) ).
fof(f33218,plain,
( ~ v7_conlat_1(g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),sK37),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),sK33(sK35,k5_conlat_2(sK35),sK37))),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(superposition,[],[f33216,f32918]) ).
fof(f33219,plain,
( ~ v7_conlat_1(g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),sK37),sK34(sK35,k5_conlat_2(sK35),sK37)),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33218,f32920]) ).
fof(f33227,plain,
( ~ v7_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33219,f32923]) ).
fof(f33228,plain,
( ~ v7_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35)))
| ~ spl923_27 ),
inference(forward_demodulation,[],[f33227,f33017]) ).
fof(f33230,definition,
( spl923_63
<=> m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
introduced(definition,[new_symbols(definition,[spl923_63])],[avatar_definition]) ).
fof(f33233,definition,
( spl923_64
<=> v7_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_64])],[avatar_definition]) ).
fof(f33234,plain,
( ~ v7_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| spl923_64 ),
inference(avatar_component_clause,[],[f33233]) ).
fof(f33235,plain,
( ~ spl923_63
| ~ spl923_64
| ~ spl923_27 ),
inference(avatar_split_clause,[],[f33228,f32966,f33233,f33230]) ).
fof(f33245,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK35)))
| v3_conlat_1(sK35)
| l3_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0))),sK35) ),
inference(resolution,[],[f24902,f24324]) ).
fof(f33251,plain,
! [X0] :
( l3_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0))),sK35)
| ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_subsumption_resolution,[],[f33245,f24325]) ).
fof(f33253,plain,
( l3_conlat_1(g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),sK37),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),sK33(sK35,k5_conlat_2(sK35),sK37))),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(superposition,[],[f33251,f32918]) ).
fof(f33254,plain,
( l3_conlat_1(g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),sK37),sK34(sK35,k5_conlat_2(sK35),sK37)),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33253,f32920]) ).
fof(f33259,plain,
( l3_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33254,f32923]) ).
fof(f33260,plain,
( l3_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35)))
| ~ spl923_27 ),
inference(forward_demodulation,[],[f33259,f33017]) ).
fof(f33262,definition,
( spl923_67
<=> l3_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_67])],[avatar_definition]) ).
fof(f33263,plain,
( l3_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| ~ spl923_67 ),
inference(avatar_component_clause,[],[f33262]) ).
fof(f33264,plain,
( ~ spl923_63
| spl923_67
| ~ spl923_27 ),
inference(avatar_split_clause,[],[f33260,f32966,f33262,f33230]) ).
fof(f33321,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK35)))
| v3_conlat_1(sK35)
| v9_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),sK35) ),
inference(resolution,[],[f24912,f24324]) ).
fof(f33327,plain,
! [X0] :
( v9_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),X0)),sK35)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_subsumption_resolution,[],[f33321,f24325]) ).
fof(f33328,plain,
( v9_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),sK31(sK35,k4_conlat_2(sK35),sK36)),sK31(sK35,k4_conlat_2(sK35),sK36)),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(superposition,[],[f33327,f32898]) ).
fof(f33360,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK35)))
| v3_conlat_1(sK35)
| v9_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0))),sK35) ),
inference(resolution,[],[f24903,f24324]) ).
fof(f33366,plain,
! [X0] :
( v9_conlat_1(g3_conlat_1(sK35,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK35)),k1_zfmisc_1(u1_conlat_1(sK35)),k2_conlat_1(sK35),X0))),sK35)
| ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_subsumption_resolution,[],[f33360,f24325]) ).
fof(f33368,plain,
( v9_conlat_1(g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),sK37),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK35)),k1_zfmisc_1(u2_conlat_1(sK35)),k1_conlat_1(sK35),sK33(sK35,k5_conlat_2(sK35),sK37))),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(superposition,[],[f33366,f32918]) ).
fof(f33395,plain,
( v1_xboole_0(u1_conlat_1(sK35))
| m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(resolution,[],[f24890,f24326]) ).
fof(f33396,plain,
( v1_xboole_0(u2_conlat_1(sK35))
| m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(resolution,[],[f24890,f24327]) ).
fof(f33439,plain,
( v9_conlat_1(g3_conlat_1(sK35,sK33(sK35,k5_conlat_2(sK35),sK37),sK34(sK35,k5_conlat_2(sK35),sK37)),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33368,f32920]) ).
fof(f33441,plain,
( spl923_63
| spl923_26 ),
inference(avatar_split_clause,[],[f33396,f32962,f33230]) ).
fof(f33442,plain,
( v9_conlat_1(g3_conlat_1(sK35,sK30(sK35,k4_conlat_2(sK35),sK36),sK31(sK35,k4_conlat_2(sK35),sK36)),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33328,f32900]) ).
fof(f33444,plain,
( spl923_38
| spl923_30 ),
inference(avatar_split_clause,[],[f33395,f32982,f33072]) ).
fof(f33445,plain,
( v9_conlat_1(k8_funct_2(u2_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k5_conlat_2(sK35),sK37),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33439,f32923]) ).
fof(f33446,plain,
( v9_conlat_1(k8_funct_2(u1_conlat_1(sK35),u1_struct_0(k11_conlat_1(sK35)),k4_conlat_2(sK35),sK36),sK35)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35))) ),
inference(forward_demodulation,[],[f33442,f32926]) ).
fof(f33447,plain,
( v9_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK35),sK37),k1_zfmisc_1(u2_conlat_1(sK35)))
| ~ spl923_27 ),
inference(forward_demodulation,[],[f33445,f33017]) ).
fof(f33448,plain,
( ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK35),sK36),k1_zfmisc_1(u1_conlat_1(sK35)))
| spl923_16 ),
inference(forward_subsumption_resolution,[],[f33446,f32788]) ).
fof(f33450,definition,
( spl923_89
<=> v9_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35) ),
introduced(definition,[new_symbols(definition,[spl923_89])],[avatar_definition]) ).
fof(f33451,plain,
( v9_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| ~ spl923_89 ),
inference(avatar_component_clause,[],[f33450]) ).
fof(f33452,plain,
( ~ spl923_63
| spl923_89
| ~ spl923_27 ),
inference(avatar_split_clause,[],[f33447,f32966,f33450,f33230]) ).
fof(f33453,plain,
( ~ spl923_38
| spl923_16 ),
inference(avatar_split_clause,[],[f33448,f32787,f33072]) ).
fof(f33454,plain,
( ~ l3_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| spl923_12
| ~ spl923_27 ),
inference(forward_demodulation,[],[f32776,f33017]) ).
fof(f33456,plain,
( $false
| spl923_12
| ~ spl923_27
| ~ spl923_67 ),
inference(forward_subsumption_resolution,[],[f33454,f33263]) ).
fof(f33457,plain,
( spl923_12
| ~ spl923_27
| ~ spl923_67 ),
inference(avatar_contradiction_clause,[],[f33456]) ).
fof(f33459,plain,
( ~ v9_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| spl923_13
| ~ spl923_27 ),
inference(forward_demodulation,[],[f32779,f33017]) ).
fof(f33460,plain,
( $false
| spl923_13
| ~ spl923_27
| ~ spl923_89 ),
inference(forward_subsumption_resolution,[],[f33459,f33451]) ).
fof(f33461,plain,
( spl923_13
| ~ spl923_27
| ~ spl923_89 ),
inference(avatar_contradiction_clause,[],[f33460]) ).
fof(f33462,plain,
( ~ l3_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35)
| spl923_15
| ~ spl923_31 ),
inference(forward_demodulation,[],[f32785,f33002]) ).
fof(f33463,plain,
( $false
| spl923_15
| ~ spl923_31
| ~ spl923_59 ),
inference(forward_subsumption_resolution,[],[f33462,f33195]) ).
fof(f33464,plain,
( spl923_15
| ~ spl923_31
| ~ spl923_59 ),
inference(avatar_contradiction_clause,[],[f33463]) ).
fof(f33465,plain,
( v7_conlat_1(k1_funct_1(k5_conlat_2(sK35),sK37),sK35)
| ~ spl923_14
| ~ spl923_27 ),
inference(forward_demodulation,[],[f32782,f33017]) ).
fof(f33466,plain,
( $false
| ~ spl923_14
| ~ spl923_27
| spl923_64 ),
inference(forward_subsumption_resolution,[],[f33465,f33234]) ).
fof(f33467,plain,
( ~ spl923_14
| ~ spl923_27
| spl923_64 ),
inference(avatar_contradiction_clause,[],[f33466]) ).
fof(f33468,plain,
( v7_conlat_1(k1_funct_1(k4_conlat_2(sK35),sK36),sK35)
| ~ spl923_17
| ~ spl923_31 ),
inference(forward_demodulation,[],[f32791,f33002]) ).
fof(f33469,plain,
( $false
| ~ spl923_17
| ~ spl923_31
| spl923_39 ),
inference(forward_subsumption_resolution,[],[f33468,f33076]) ).
fof(f33470,plain,
( ~ spl923_17
| ~ spl923_31
| spl923_39 ),
inference(avatar_contradiction_clause,[],[f33469]) ).
cnf(s6,plain,
( ~ spl923_12
| ~ spl923_13
| spl923_14
| ~ spl923_15
| ~ spl923_16
| spl923_17 ),
inference(sat_conversion,[],[f32792]) ).
cnf(s15,plain,
( ~ spl923_25
| spl923_26
| spl923_27 ),
inference(sat_conversion,[],[f32968]) ).
cnf(s17,plain,
( ~ spl923_29
| spl923_30
| spl923_31 ),
inference(sat_conversion,[],[f32988]) ).
cnf(s19,plain,
spl923_29,
inference(sat_conversion,[],[f32994]) ).
cnf(s21,plain,
~ spl923_30,
inference(sat_conversion,[],[f33001]) ).
cnf(s23,plain,
spl923_25,
inference(sat_conversion,[],[f33009]) ).
cnf(s25,plain,
~ spl923_26,
inference(sat_conversion,[],[f33016]) ).
cnf(s28,plain,
( ~ spl923_31
| ~ spl923_38
| ~ spl923_39 ),
inference(sat_conversion,[],[f33077]) ).
cnf(s50,plain,
( ~ spl923_31
| ~ spl923_38
| spl923_59 ),
inference(sat_conversion,[],[f33196]) ).
cnf(s53,plain,
( ~ spl923_27
| ~ spl923_63
| ~ spl923_64 ),
inference(sat_conversion,[],[f33235]) ).
cnf(s57,plain,
( ~ spl923_27
| ~ spl923_63
| spl923_67 ),
inference(sat_conversion,[],[f33264]) ).
cnf(s77,plain,
( spl923_26
| spl923_63 ),
inference(sat_conversion,[],[f33441]) ).
cnf(s78,plain,
( spl923_30
| spl923_38 ),
inference(sat_conversion,[],[f33444]) ).
cnf(s79,plain,
( ~ spl923_27
| ~ spl923_63
| spl923_89 ),
inference(sat_conversion,[],[f33452]) ).
cnf(s80,plain,
( spl923_16
| ~ spl923_38 ),
inference(sat_conversion,[],[f33453]) ).
cnf(s81,plain,
( spl923_12
| ~ spl923_27
| ~ spl923_67 ),
inference(sat_conversion,[],[f33457]) ).
cnf(s82,plain,
( spl923_13
| ~ spl923_27
| ~ spl923_89 ),
inference(sat_conversion,[],[f33461]) ).
cnf(s83,plain,
( spl923_15
| ~ spl923_31
| ~ spl923_59 ),
inference(sat_conversion,[],[f33464]) ).
cnf(s84,plain,
( ~ spl923_14
| ~ spl923_27
| spl923_64 ),
inference(sat_conversion,[],[f33467]) ).
cnf(s85,plain,
( ~ spl923_17
| ~ spl923_31
| spl923_39 ),
inference(sat_conversion,[],[f33470]) ).
cnf(s116,plain,
spl923_63,
inference(rat,[],[s77,s25]) ).
cnf(s117,plain,
spl923_38,
inference(rat,[],[s78,s21]) ).
cnf(s118,plain,
spl923_16,
inference(rat,[],[s80,s117]) ).
cnf(s119,plain,
spl923_31,
inference(rat,[],[s17,s21,s19]) ).
cnf(s120,plain,
spl923_59,
inference(rat,[],[s50,s117,s119]) ).
cnf(s121,plain,
~ spl923_39,
inference(rat,[],[s28,s117,s119]) ).
cnf(s122,plain,
spl923_15,
inference(rat,[],[s83,s119,s120]) ).
cnf(s123,plain,
~ spl923_17,
inference(rat,[],[s85,s119,s121]) ).
cnf(s125,plain,
spl923_27,
inference(rat,[],[s15,s25,s23]) ).
cnf(s126,plain,
spl923_89,
inference(rat,[],[s79,s116,s125]) ).
cnf(s127,plain,
spl923_67,
inference(rat,[],[s57,s116,s125]) ).
cnf(s128,plain,
~ spl923_64,
inference(rat,[],[s53,s116,s125]) ).
cnf(s129,plain,
spl923_13,
inference(rat,[],[s82,s125,s126]) ).
cnf(s130,plain,
spl923_12,
inference(rat,[],[s81,s125,s127]) ).
cnf(s131,plain,
~ spl923_14,
inference(rat,[],[s84,s125,s128]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s6,s123,s118,s122,s131,s129,s130]) ).
fof(f33471,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT343+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:51:59 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 11.86/3.72 % (621882)Detected formulas, will run a generic FOF schedule.
% 11.86/3.72 % (621893)dis-21_1_sil=8000:lcm=predicate:random_seed=1318671410:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 11.86/3.72 % (621887)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=3165804827:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 11.86/3.72 % (621888)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=125484936:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 11.86/3.72 % (621889)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=903894316:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 11.86/3.72 % (621890)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=430988620:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 11.86/3.72 % (621891)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1071360519:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 11.86/3.72 % (621893)Instruction limit reached!
% 11.86/3.72 % (621893)------------------------------
% 11.86/3.72 % (621893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/3.72 % (621893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/3.72 % (621893)CaDiCaL version: 2.1.3
% 11.86/3.72 % (621893)Termination reason: Instruction limit
% 11.86/3.72 % (621893)Termination phase: SInE selection
% 11.86/3.72 % (621893)Time elapsed: 0.051 s
% 11.86/3.72 % (621893)Peak memory usage: 111 MB
% 11.86/3.72 % (621893)Instructions burned: 130 (million)
% 11.86/3.72 % (621892)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=219405658:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 11.86/3.72 % (621892)Instruction limit reached!
% 11.86/3.72 % (621892)------------------------------
% 11.86/3.72 % (621892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/3.72 % (621892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/3.72 % (621892)CaDiCaL version: 2.1.3
% 11.86/3.72 % (621892)Termination reason: Instruction limit
% 11.86/3.72 % (621892)Termination phase: Property scanning
% 11.86/3.72 % (621892)Time elapsed: 0.062 s
% 11.86/3.72 % (621892)Peak memory usage: 111 MB
% 11.86/3.72 % (621892)Instructions burned: 140 (million)
% 11.86/3.72 % (621890)Instruction limit reached!
% 11.86/3.72 % (621890)------------------------------
% 11.86/3.72 % (621890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/3.72 % (621890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/3.72 % (621890)CaDiCaL version: 2.1.3
% 11.86/3.72 % (621890)Termination reason: Instruction limit
% 11.86/3.72 % (621890)Termination phase: Property scanning
% 11.86/3.72 % (621890)Time elapsed: 0.090 s
% 11.86/3.72 % (621890)Peak memory usage: 112 MB
% 11.86/3.72 % (621890)Instructions burned: 109 (million)
% 11.86/3.72 % (621901)lrs+10_1_sil=8000:sp=occurrence:random_seed=1780798470:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.86/3.72 % (621891)Instruction limit reached!
% 11.86/3.72 % (621891)------------------------------
% 11.86/3.72 % (621891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/3.72 % (621891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/3.72 % (621891)CaDiCaL version: 2.1.3
% 11.86/3.72 % (621891)Termination reason: Instruction limit
% 11.86/3.72 % (621891)Termination phase: Preprocessing 3
% 11.86/3.72 % (621891)Time elapsed: 0.100 s
% 11.86/3.72 % (621891)Peak memory usage: 112 MB
% 11.86/3.72 % (621891)Instructions burned: 119 (million)
% 11.86/3.72 % (621902)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1203981761:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 11.86/3.72 % (621903)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3638474828:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 11.86/3.72 % (621901)Instruction limit reached!
% 11.86/3.72 % (621901)------------------------------
% 11.86/3.72 % (621901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/3.72 % (621901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/4.67 % (621901)CaDiCaL version: 2.1.3
% 20.34/4.67 % (621901)Termination reason: Instruction limit
% 20.34/4.67 % (621901)Termination phase: Saturation
% 20.34/4.67 % (621901)Time elapsed: 0.122 s
% 20.34/4.67 % (621901)Peak memory usage: 117 MB
% 20.34/4.67 % (621901)Instructions burned: 285 (million)
% 20.34/4.67 % (621905)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=3217192918:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 20.34/4.67 % (621902)Instruction limit reached!
% 20.34/4.67 % (621902)------------------------------
% 20.34/4.67 % (621902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/4.67 % (621902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/4.67 % (621902)CaDiCaL version: 2.1.3
% 20.34/4.67 % (621902)Termination reason: Instruction limit
% 20.34/4.67 % (621902)Termination phase: Property scanning
% 20.34/4.67 % (621902)Time elapsed: 0.068 s
% 20.34/4.67 % (621902)Peak memory usage: 111 MB
% 20.34/4.67 % (621902)Instructions burned: 158 (million)
% 20.34/4.67 % (621908)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1440521882:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 20.34/4.67 % (621905)Instruction limit reached!
% 20.34/4.67 % (621905)------------------------------
% 20.34/4.67 % (621905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/4.67 % (621905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/4.67 % (621905)CaDiCaL version: 2.1.3
% 20.34/4.67 % (621905)Termination reason: Instruction limit
% 20.34/4.67 % (621905)Termination phase: Property scanning
% 20.34/4.67 % (621905)Time elapsed: 0.108 s
% 20.34/4.67 % (621905)Peak memory usage: 111 MB
% 20.34/4.67 % (621905)Instructions burned: 248 (million)
% 20.34/4.67 % (621910)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1838123231:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 20.34/4.67 % (621903)Instruction limit reached!
% 20.34/4.67 % (621903)------------------------------
% 20.34/4.67 % (621903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/4.67 % (621903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/4.67 % (621903)CaDiCaL version: 2.1.3
% 20.34/4.67 % (621903)Termination reason: Instruction limit
% 20.34/4.67 % (621903)Termination phase: Saturation
% 20.34/4.67 % (621903)Time elapsed: 0.210 s
% 20.34/4.67 % (621903)Peak memory usage: 117 MB
% 20.34/4.67 % (621903)Instructions burned: 327 (million)
% 20.34/4.67 % (621908)Instruction limit reached!
% 20.34/4.67 % (621908)------------------------------
% 20.34/4.67 % (621908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/4.67 % (621908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/4.67 % (621908)CaDiCaL version: 2.1.3
% 20.34/4.67 % (621908)Termination reason: Instruction limit
% 20.34/4.67 % (621908)Termination phase: Saturation
% 20.34/4.67 % (621908)Time elapsed: 0.115 s
% 20.34/4.67 % (621908)Peak memory usage: 117 MB
% 20.34/4.67 % (621908)Instructions burned: 297 (million)
% 20.34/4.67 % (621912)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=929725210:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 20.34/4.67 % (621914)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=571532099:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 20.34/4.67 % (621915)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1471745404:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 20.34/4.67 % (621914)Instruction limit reached!
% 20.34/4.67 % (621914)------------------------------
% 20.34/4.67 % (621914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/4.67 % (621914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/4.67 % (621914)CaDiCaL version: 2.1.3
% 20.34/4.67 % (621914)Termination reason: Instruction limit
% 20.34/4.67 % (621914)Termination phase: Preprocessing 1
% 20.34/4.67 % (621914)Time elapsed: 0.053 s
% 20.34/4.67 % (621914)Peak memory usage: 111 MB
% 20.34/4.67 % (621914)Instructions burned: 128 (million)
% 20.34/4.67 % (621912)Instruction limit reached!
% 20.34/4.67 % (621912)------------------------------
% 20.34/4.67 % (621912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.34/4.67 % (621912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621912)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621912)Termination reason: Instruction limit
% 12.72/4.91 % (621912)Termination phase: Preprocessing 1
% 12.72/4.91 % (621912)Time elapsed: 0.099 s
% 12.72/4.91 % (621912)Peak memory usage: 112 MB
% 12.72/4.91 % (621912)Instructions burned: 113 (million)
% 12.72/4.91 % (621915)Instruction limit reached!
% 12.72/4.91 % (621915)------------------------------
% 12.72/4.91 % (621915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621915)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621915)Termination reason: Instruction limit
% 12.72/4.91 % (621915)Termination phase: Property scanning
% 12.72/4.91 % (621915)Time elapsed: 0.050 s
% 12.72/4.91 % (621915)Peak memory usage: 111 MB
% 12.72/4.91 % (621915)Instructions burned: 115 (million)
% 12.72/4.91 % (621919)lrs+10_1_sil=8000:sp=occurrence:random_seed=1186063570:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 12.72/4.91 % (621920)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3757879344:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 12.72/4.91 % (621921)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1525841749:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 12.72/4.91 % (621920)Refutation not found, incomplete strategy
% 12.72/4.91 % (621920)------------------------------
% 12.72/4.91 % (621920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621920)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621920)Termination reason: Refutation not found, incomplete strategy
% 12.72/4.91 % (621920)Time elapsed: 0.119 s
% 12.72/4.91 % (621920)Peak memory usage: 116 MB
% 12.72/4.91 % (621920)Instructions burned: 143 (million)
% 12.72/4.91 % (621919)Instruction limit reached!
% 12.72/4.91 % (621919)------------------------------
% 12.72/4.91 % (621919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621919)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621919)Termination reason: Instruction limit
% 12.72/4.91 % (621919)Termination phase: Saturation
% 12.72/4.91 % (621919)Time elapsed: 0.306 s
% 12.72/4.91 % (621919)Peak memory usage: 130 MB
% 12.72/4.91 % (621919)Instructions burned: 908 (million)
% 12.72/4.91 % (621925)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3162477509:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 12.72/4.91 % (621920)------------------------------
% 12.72/4.91 % (621920)------------------------------
% 12.72/4.91 % (621925)Instruction limit reached!
% 12.72/4.91 % (621925)------------------------------
% 12.72/4.91 % (621925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621925)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621925)Termination reason: Instruction limit
% 12.72/4.91 % (621925)Termination phase: NewCNF
% 12.72/4.91 % (621925)Time elapsed: 0.068 s
% 12.72/4.91 % (621925)Peak memory usage: 114 MB
% 12.72/4.91 % (621925)Instructions burned: 136 (million)
% 12.72/4.91 % (621928)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3630061090:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 12.72/4.91 % (621927)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=118701599:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 12.72/4.91 % (621910)Instruction limit reached!
% 12.72/4.91 % (621910)------------------------------
% 12.72/4.91 % (621910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621910)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621910)Termination reason: Instruction limit
% 12.72/4.91 % (621910)Termination phase: Saturation
% 12.72/4.91 % (621910)Time elapsed: 1.251 s
% 12.72/4.91 % (621910)Peak memory usage: 165 MB
% 12.72/4.91 % (621910)Instructions burned: 2352 (million)
% 12.72/4.91 % (621927)Instruction limit reached!
% 12.72/4.91 % (621927)------------------------------
% 12.72/4.91 % (621927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621927)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621927)Termination reason: Instruction limit
% 12.72/4.91 % (621927)Termination phase: Preprocessing 3
% 12.72/4.91 % (621927)Time elapsed: 0.447 s
% 12.72/4.91 % (621927)Peak memory usage: 132 MB
% 12.72/4.91 % (621927)Instructions burned: 594 (million)
% 12.72/4.91 % (621931)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=3434397501:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 12.72/4.91 % (621932)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=843103304:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 12.72/4.91 % (621931)Instruction limit reached!
% 12.72/4.91 % (621931)------------------------------
% 12.72/4.91 % (621931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621931)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621931)Termination reason: Instruction limit
% 12.72/4.91 % (621931)Termination phase: Property scanning
% 12.72/4.91 % (621931)Time elapsed: 0.056 s
% 12.72/4.91 % (621931)Peak memory usage: 111 MB
% 12.72/4.91 % (621931)Instructions burned: 125 (million)
% 12.72/4.91 % (621932)Instruction limit reached!
% 12.72/4.91 % (621932)------------------------------
% 12.72/4.91 % (621932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621932)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621932)Termination reason: Instruction limit
% 12.72/4.91 % (621932)Termination phase: Property scanning
% 12.72/4.91 % (621932)Time elapsed: 0.059 s
% 12.72/4.91 % (621932)Peak memory usage: 111 MB
% 12.72/4.91 % (621932)Instructions burned: 134 (million)
% 12.72/4.91 % (621935)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2896613911:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 12.72/4.91 % (621936)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1640989701:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 12.72/4.91 % (621935)Refutation not found, incomplete strategy
% 12.72/4.91 % (621935)------------------------------
% 12.72/4.91 % (621935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621935)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621935)Termination reason: Refutation not found, incomplete strategy
% 12.72/4.91 % (621935)Time elapsed: 0.102 s
% 12.72/4.91 % (621935)Peak memory usage: 115 MB
% 12.72/4.91 % (621935)Instructions burned: 116 (million)
% 12.72/4.91 % (621936)Instruction limit reached!
% 12.72/4.91 % (621936)------------------------------
% 12.72/4.91 % (621936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621936)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621936)Termination reason: Instruction limit
% 12.72/4.91 % (621936)Termination phase: Saturation
% 12.72/4.91 % (621936)Time elapsed: 0.291 s
% 12.72/4.91 % (621936)Peak memory usage: 119 MB
% 12.72/4.91 % (621936)Instructions burned: 432 (million)
% 12.72/4.91 % (621935)------------------------------
% 12.72/4.91 % (621935)------------------------------
% 12.72/4.91 % (621939)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=3716983763:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 12.72/4.91 % (621940)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=3445162737:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 12.72/4.91 % (621888)First to succeed.
% 12.72/4.91 % (621888)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-621882"
% 12.72/4.91 % (621940)Instruction limit reached!
% 12.72/4.91 % (621940)------------------------------
% 12.72/4.91 % (621940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/4.91 % (621940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/4.91 % (621940)CaDiCaL version: 2.1.3
% 12.72/4.91 % (621940)Termination reason: Instruction limit
% 12.72/4.91 % (621940)Termination phase: Preprocessing 1
% 12.72/4.91 % (621940)Time elapsed: 0.124 s
% 12.72/4.91 % (621940)Peak memory usage: 111 MB
% 12.72/4.91 % (621940)Instructions burned: 151 (million)
% 12.72/4.91 % (621943)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1421585902:i=14155:bd=all_2961 on theBenchmark for (2961ds/14155Mi)
% 12.72/4.91 % (621888)Refutation found. Thanks to Tanya!
% 12.72/4.91 % SZS status Theorem for theBenchmark
% 12.72/4.91 % SZS output start Proof for theBenchmark
% See solution above
% 22.96/5.11 % (621888)------------------------------
% 22.96/5.11 % (621888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.96/5.11 % (621888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/5.11 % (621888)CaDiCaL version: 2.1.3
% 22.96/5.11 % (621888)Termination reason: Refutation
% 22.96/5.11 % (621888)Time elapsed: 2.571 s
% 22.96/5.11 % (621888)Peak memory usage: 245 MB
% 22.96/5.11 % (621888)Instructions burned: 4129 (million)
% 22.96/5.11 % (621888)------------------------------
% 22.96/5.11 % (621888)------------------------------
% 22.96/5.11 % (621882)Success in time 4.043 s
% 22.96/5.11 % Vampire exiting
%------------------------------------------------------------------------------