%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 11:48:28 AM UTC 2026
% Result : Theorem 0.81s 0.58s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 197 ( 44 unt; 11 def)
% Number of atoms : 666 ( 115 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 757 ( 288 ~; 341 |; 90 &)
% ( 18 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 12 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 183 ( 0 sgn 169 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X0)
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3 )
=> k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X0)
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3 )
=> k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f10,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_filter_0) ).
fof(f18,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,X0) )
=> ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_filter_0) ).
fof(f22,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f29,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f31,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f55,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f69,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f70,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f92,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k8_filter_0(X0,X2) != k8_filter_0(X1,X3)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3
& m1_filter_2(X3,X1) )
& m1_filter_2(X2,X0) )
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f93,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k8_filter_0(X0,X2) != k8_filter_0(X1,X3)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3
& m1_filter_2(X3,X1) )
& m1_filter_2(X2,X0) )
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f92]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f105]) ).
fof(f111,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f112,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f123,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f124,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f152]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f159]) ).
fof(f171,plain,
m1_filter_2(sK3,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f172,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f93]) ).
fof(f173,plain,
g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)),
inference(cnf_transformation,[],[f93]) ).
fof(f174,plain,
k8_filter_0(sK0,sK2) != k8_filter_0(sK1,sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f175,plain,
m1_filter_2(sK2,sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f176,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f177,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f178,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f179,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f180,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f181,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| g3_lattices(X1,sK4(X0,X1,X2),sK5(X0,X1,X2)) = X2
| k8_filter_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k1_realset1(u1_lattices(X0),X1) = sK5(X0,X1,X2)
| k8_filter_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k1_realset1(u2_lattices(X0),X1) = sK4(X0,X1,X2)
| k8_filter_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f207,plain,
! [X0,X1] :
( l3_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f208,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f209,plain,
! [X0,X1] :
( ~ v3_struct_0(k8_filter_0(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f212,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f213,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f220,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f221,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f222,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f223,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f224,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f225,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f153]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f153]) ).
fof(f306,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f308,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f318,plain,
m1_filter_2(sK3,sK0),
inference(definition_unfolding,[],[f175,f172]) ).
fof(f319,plain,
k8_filter_0(sK1,sK3) != k8_filter_0(sK0,sK3),
inference(definition_unfolding,[],[f174,f172]) ).
fof(f326,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| k1_realset1(u2_lattices(X0),X1) = sK4(X0,X1,k8_filter_0(X0,X1)) ),
inference(equality_resolution,[],[f196]) ).
fof(f327,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| k1_realset1(u1_lattices(X0),X1) = sK5(X0,X1,k8_filter_0(X0,X1)) ),
inference(equality_resolution,[],[f195]) ).
fof(f328,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| k8_filter_0(X0,X1) = g3_lattices(X1,sK4(X0,X1,k8_filter_0(X0,X1)),sK5(X0,X1,k8_filter_0(X0,X1))) ),
inference(equality_resolution,[],[f194]) ).
fof(f332,plain,
~ m1_filter_2(sK3,sK0),
inference(consistent_polarity_flipping,[],[f318]) ).
fof(f333,plain,
~ m1_filter_2(sK3,sK1),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f351,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f352,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f357,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| l1_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f222]) ).
fof(f358,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f359,plain,
! [X0] :
( ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f360,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| l2_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f225]) ).
fof(f361,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l2_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f362,plain,
! [X0] :
( ~ m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l2_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f397,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| X1 = X4 ),
inference(consistent_polarity_flipping,[],[f269]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| X2 = X5 ),
inference(consistent_polarity_flipping,[],[f268]) ).
fof(f415,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| m1_filter_2(X1,X0) ),
inference(consistent_polarity_flipping,[],[f306]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f308]) ).
fof(f499,plain,
! [X0] :
( ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| m1_filter_0(X0,sK1)
| m1_filter_2(X0,sK1) ),
inference(resolution,[],[f415,f177]) ).
fof(f500,plain,
! [X0] :
( ~ l3_lattices(sK0)
| v3_struct_0(sK0)
| m1_filter_0(X0,sK0)
| m1_filter_2(X0,sK0) ),
inference(resolution,[],[f415,f180]) ).
fof(f503,plain,
! [X0] :
( v3_struct_0(sK0)
| m1_filter_0(X0,sK0)
| m1_filter_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f500,f179]) ).
fof(f504,plain,
! [X0] :
( v3_struct_0(sK1)
| m1_filter_0(X0,sK1)
| m1_filter_2(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f499,f176]) ).
fof(f506,plain,
! [X0] :
( m1_filter_2(X0,sK0)
| m1_filter_0(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f503,f181]) ).
fof(f507,plain,
! [X0] :
( m1_filter_2(X0,sK1)
| m1_filter_0(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f504,f178]) ).
fof(f525,plain,
m1_filter_0(sK3,sK0),
inference(resolution,[],[f506,f332]) ).
fof(f612,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v10_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| k1_realset1(u2_lattices(X0),X1) = sK4(X0,X1,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f326,f207]) ).
fof(f613,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(k8_filter_0(X0,X1))
| k1_realset1(u2_lattices(X0),X1) = sK4(X0,X1,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f612,f208]) ).
fof(f614,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| k1_realset1(u2_lattices(X0),X1) = sK4(X0,X1,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f613,f209]) ).
fof(f616,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| k1_realset1(u2_lattices(sK0),sK3) = sK4(sK0,sK3,k8_filter_0(sK0,sK3)) ),
inference(resolution,[],[f614,f525]) ).
fof(f620,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| k1_realset1(u2_lattices(sK0),sK3) = sK4(sK0,sK3,k8_filter_0(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f616,f180]) ).
fof(f622,plain,
( ~ l3_lattices(sK0)
| k1_realset1(u2_lattices(sK0),sK3) = sK4(sK0,sK3,k8_filter_0(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f620,f181]) ).
fof(f624,plain,
k1_realset1(u2_lattices(sK0),sK3) = sK4(sK0,sK3,k8_filter_0(sK0,sK3)),
inference(forward_subsumption_resolution,[],[f622,f179]) ).
fof(f625,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v10_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| k1_realset1(u1_lattices(X0),X1) = sK5(X0,X1,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f327,f207]) ).
fof(f626,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(k8_filter_0(X0,X1))
| k1_realset1(u1_lattices(X0),X1) = sK5(X0,X1,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f625,f208]) ).
fof(f627,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| k1_realset1(u1_lattices(X0),X1) = sK5(X0,X1,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f626,f209]) ).
fof(f628,plain,
m1_filter_0(sK3,sK1),
inference(resolution,[],[f507,f333]) ).
fof(f633,plain,
( ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| k1_realset1(u2_lattices(sK1),sK3) = sK4(sK1,sK3,k8_filter_0(sK1,sK3)) ),
inference(resolution,[],[f628,f614]) ).
fof(f638,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| k1_realset1(u2_lattices(sK1),sK3) = sK4(sK1,sK3,k8_filter_0(sK1,sK3)) ),
inference(forward_subsumption_resolution,[],[f633,f177]) ).
fof(f640,plain,
( ~ l3_lattices(sK1)
| k1_realset1(u2_lattices(sK1),sK3) = sK4(sK1,sK3,k8_filter_0(sK1,sK3)) ),
inference(forward_subsumption_resolution,[],[f638,f178]) ).
fof(f642,plain,
k1_realset1(u2_lattices(sK1),sK3) = sK4(sK1,sK3,k8_filter_0(sK1,sK3)),
inference(forward_subsumption_resolution,[],[f640,f176]) ).
fof(f644,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| k1_realset1(u1_lattices(sK0),sK3) = sK5(sK0,sK3,k8_filter_0(sK0,sK3)) ),
inference(resolution,[],[f627,f525]) ).
fof(f645,plain,
( ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| k1_realset1(u1_lattices(sK1),sK3) = sK5(sK1,sK3,k8_filter_0(sK1,sK3)) ),
inference(resolution,[],[f627,f628]) ).
fof(f649,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| k1_realset1(u1_lattices(sK1),sK3) = sK5(sK1,sK3,k8_filter_0(sK1,sK3)) ),
inference(forward_subsumption_resolution,[],[f645,f177]) ).
fof(f650,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| k1_realset1(u1_lattices(sK0),sK3) = sK5(sK0,sK3,k8_filter_0(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f644,f180]) ).
fof(f652,plain,
( ~ l3_lattices(sK1)
| k1_realset1(u1_lattices(sK1),sK3) = sK5(sK1,sK3,k8_filter_0(sK1,sK3)) ),
inference(forward_subsumption_resolution,[],[f649,f178]) ).
fof(f653,plain,
( ~ l3_lattices(sK0)
| k1_realset1(u1_lattices(sK0),sK3) = sK5(sK0,sK3,k8_filter_0(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f650,f181]) ).
fof(f655,plain,
k1_realset1(u1_lattices(sK1),sK3) = sK5(sK1,sK3,k8_filter_0(sK1,sK3)),
inference(forward_subsumption_resolution,[],[f652,f176]) ).
fof(f656,plain,
k1_realset1(u1_lattices(sK0),sK3) = sK5(sK0,sK3,k8_filter_0(sK0,sK3)),
inference(forward_subsumption_resolution,[],[f653,f179]) ).
fof(f725,definition,
( spl29_13
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f727,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f733,definition,
( spl29_15
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f735,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl29_15 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f737,definition,
( spl29_16
<=> v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f739,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl29_16 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f741,definition,
( spl29_17
<=> m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f743,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl29_17 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl29_18
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f747,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl29_18 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f749,definition,
( spl29_19
<=> v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f751,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl29_19 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f765,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v10_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| k8_filter_0(X0,X1) = g3_lattices(X1,sK4(X0,X1,k8_filter_0(X0,X1)),sK5(X0,X1,k8_filter_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f328,f207]) ).
fof(f766,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(k8_filter_0(X0,X1))
| k8_filter_0(X0,X1) = g3_lattices(X1,sK4(X0,X1,k8_filter_0(X0,X1)),sK5(X0,X1,k8_filter_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f765,f208]) ).
fof(f767,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| k8_filter_0(X0,X1) = g3_lattices(X1,sK4(X0,X1,k8_filter_0(X0,X1)),sK5(X0,X1,k8_filter_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f766,f209]) ).
fof(f769,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| k8_filter_0(sK0,sK3) = g3_lattices(sK3,sK4(sK0,sK3,k8_filter_0(sK0,sK3)),sK5(sK0,sK3,k8_filter_0(sK0,sK3))) ),
inference(resolution,[],[f767,f525]) ).
fof(f770,plain,
( ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| k8_filter_0(sK1,sK3) = g3_lattices(sK3,sK4(sK1,sK3,k8_filter_0(sK1,sK3)),sK5(sK1,sK3,k8_filter_0(sK1,sK3))) ),
inference(resolution,[],[f767,f628]) ).
fof(f776,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| k8_filter_0(sK1,sK3) = g3_lattices(sK3,sK4(sK1,sK3,k8_filter_0(sK1,sK3)),sK5(sK1,sK3,k8_filter_0(sK1,sK3))) ),
inference(forward_subsumption_resolution,[],[f770,f177]) ).
fof(f777,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| k8_filter_0(sK0,sK3) = g3_lattices(sK3,sK4(sK0,sK3,k8_filter_0(sK0,sK3)),sK5(sK0,sK3,k8_filter_0(sK0,sK3))) ),
inference(forward_subsumption_resolution,[],[f769,f180]) ).
fof(f780,plain,
( ~ l3_lattices(sK1)
| k8_filter_0(sK1,sK3) = g3_lattices(sK3,sK4(sK1,sK3,k8_filter_0(sK1,sK3)),sK5(sK1,sK3,k8_filter_0(sK1,sK3))) ),
inference(forward_subsumption_resolution,[],[f776,f178]) ).
fof(f781,plain,
( ~ l3_lattices(sK0)
| k8_filter_0(sK0,sK3) = g3_lattices(sK3,sK4(sK0,sK3,k8_filter_0(sK0,sK3)),sK5(sK0,sK3,k8_filter_0(sK0,sK3))) ),
inference(forward_subsumption_resolution,[],[f777,f181]) ).
fof(f784,plain,
k8_filter_0(sK1,sK3) = g3_lattices(sK3,sK4(sK1,sK3,k8_filter_0(sK1,sK3)),sK5(sK1,sK3,k8_filter_0(sK1,sK3))),
inference(forward_subsumption_resolution,[],[f780,f176]) ).
fof(f785,plain,
k8_filter_0(sK0,sK3) = g3_lattices(sK3,sK4(sK0,sK3,k8_filter_0(sK0,sK3)),sK5(sK0,sK3,k8_filter_0(sK0,sK3))),
inference(forward_subsumption_resolution,[],[f781,f179]) ).
fof(f793,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| u2_lattices(sK1) = X1 ),
inference(superposition,[],[f397,f173]) ).
fof(f797,definition,
( spl29_22
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f798,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1 )
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f799,plain,
( spl29_13
| ~ spl29_15
| ~ spl29_16
| spl29_17
| ~ spl29_18
| ~ spl29_19
| spl29_22 ),
inference(avatar_split_clause,[],[f793,f797,f749,f745,f741,f737,f733,f725]) ).
fof(f805,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| u1_lattices(sK1) = X2 ),
inference(superposition,[],[f398,f173]) ).
fof(f809,definition,
( spl29_23
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2 ) ),
introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2 )
| ~ spl29_23 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f811,plain,
( spl29_13
| ~ spl29_15
| ~ spl29_16
| spl29_17
| ~ spl29_18
| ~ spl29_19
| spl29_23 ),
inference(avatar_split_clause,[],[f805,f809,f749,f745,f741,f737,f733,f725]) ).
fof(f812,plain,
( l2_lattices(sK1)
| spl29_15 ),
inference(resolution,[],[f735,f360]) ).
fof(f843,plain,
( ~ l3_lattices(sK1)
| spl29_15 ),
inference(resolution,[],[f812,f352]) ).
fof(f844,plain,
( $false
| spl29_15 ),
inference(forward_subsumption_resolution,[],[f843,f176]) ).
fof(f845,plain,
spl29_15,
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f846,plain,
( l2_lattices(sK1)
| spl29_16 ),
inference(resolution,[],[f739,f361]) ).
fof(f849,definition,
( spl29_31
<=> u2_lattices(sK0) = u2_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl29_31])],[avatar_definition]) ).
fof(f851,plain,
( u2_lattices(sK0) = u2_lattices(sK1)
| ~ spl29_31 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f853,plain,
( ~ l3_lattices(sK1)
| spl29_16 ),
inference(resolution,[],[f846,f352]) ).
fof(f854,plain,
( $false
| spl29_16 ),
inference(forward_subsumption_resolution,[],[f853,f176]) ).
fof(f855,plain,
spl29_16,
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f856,plain,
( l1_lattices(sK1)
| spl29_18 ),
inference(resolution,[],[f747,f357]) ).
fof(f857,plain,
( ~ l3_lattices(sK1)
| spl29_18 ),
inference(resolution,[],[f856,f351]) ).
fof(f858,plain,
( $false
| spl29_18 ),
inference(forward_subsumption_resolution,[],[f857,f176]) ).
fof(f859,plain,
spl29_18,
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f876,plain,
( m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl29_17 ),
inference(resolution,[],[f743,f417]) ).
fof(f877,plain,
( l1_lattices(sK1)
| spl29_19 ),
inference(resolution,[],[f751,f358]) ).
fof(f881,definition,
( spl29_34
<=> u1_lattices(sK0) = u1_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl29_34])],[avatar_definition]) ).
fof(f883,plain,
( u1_lattices(sK0) = u1_lattices(sK1)
| ~ spl29_34 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f893,plain,
( ~ l3_lattices(sK1)
| spl29_19 ),
inference(resolution,[],[f877,f351]) ).
fof(f894,plain,
( $false
| spl29_19 ),
inference(forward_subsumption_resolution,[],[f893,f176]) ).
fof(f895,plain,
spl29_19,
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f1314,definition,
( spl29_81
<=> l1_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl29_81])],[avatar_definition]) ).
fof(f1316,plain,
( l1_lattices(sK1)
| ~ spl29_81 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1328,plain,
( m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl29_13 ),
inference(resolution,[],[f727,f417]) ).
fof(f1558,plain,
( l2_lattices(sK1)
| ~ spl29_17 ),
inference(resolution,[],[f876,f362]) ).
fof(f1615,plain,
( ~ l3_lattices(sK1)
| ~ spl29_17 ),
inference(resolution,[],[f1558,f352]) ).
fof(f1616,plain,
( $false
| ~ spl29_17 ),
inference(forward_subsumption_resolution,[],[f1615,f176]) ).
fof(f1617,plain,
~ spl29_17,
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1700,plain,
( l1_lattices(sK1)
| ~ spl29_13 ),
inference(resolution,[],[f1328,f359]) ).
fof(f1702,plain,
( spl29_81
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f1700,f725,f1314]) ).
fof(f1703,plain,
( ~ l3_lattices(sK1)
| ~ spl29_81 ),
inference(resolution,[],[f1316,f351]) ).
fof(f1704,plain,
( $false
| ~ spl29_81 ),
inference(forward_subsumption_resolution,[],[f1703,f176]) ).
fof(f1705,plain,
~ spl29_81,
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1753,plain,
( u2_lattices(sK0) = u2_lattices(sK1)
| ~ spl29_22 ),
inference(equality_resolution,[],[f798]) ).
fof(f1754,plain,
( spl29_31
| ~ spl29_22 ),
inference(avatar_split_clause,[],[f1753,f797,f849]) ).
fof(f1759,plain,
( u1_lattices(sK0) = u1_lattices(sK1)
| ~ spl29_23 ),
inference(equality_resolution,[],[f810]) ).
fof(f1760,plain,
( spl29_34
| ~ spl29_23 ),
inference(avatar_split_clause,[],[f1759,f809,f881]) ).
fof(f4463,plain,
( k1_realset1(u2_lattices(sK0),sK3) = sK4(sK1,sK3,k8_filter_0(sK1,sK3))
| ~ spl29_31 ),
inference(forward_demodulation,[],[f642,f851]) ).
fof(f4464,plain,
( k1_realset1(u1_lattices(sK0),sK3) = sK5(sK1,sK3,k8_filter_0(sK1,sK3))
| ~ spl29_34 ),
inference(forward_demodulation,[],[f655,f883]) ).
fof(f5285,plain,
( k8_filter_0(sK1,sK3) = g3_lattices(sK3,sK4(sK1,sK3,k8_filter_0(sK1,sK3)),k1_realset1(u1_lattices(sK0),sK3))
| ~ spl29_34 ),
inference(forward_demodulation,[],[f784,f4464]) ).
fof(f5286,plain,
( k8_filter_0(sK1,sK3) = g3_lattices(sK3,k1_realset1(u2_lattices(sK0),sK3),k1_realset1(u1_lattices(sK0),sK3))
| ~ spl29_31
| ~ spl29_34 ),
inference(forward_demodulation,[],[f5285,f4463]) ).
fof(f5394,plain,
k8_filter_0(sK0,sK3) = g3_lattices(sK3,sK4(sK0,sK3,k8_filter_0(sK0,sK3)),k1_realset1(u1_lattices(sK0),sK3)),
inference(forward_demodulation,[],[f785,f656]) ).
fof(f5395,plain,
k8_filter_0(sK0,sK3) = g3_lattices(sK3,k1_realset1(u2_lattices(sK0),sK3),k1_realset1(u1_lattices(sK0),sK3)),
inference(forward_demodulation,[],[f5394,f624]) ).
fof(f5396,plain,
( k8_filter_0(sK1,sK3) = k8_filter_0(sK0,sK3)
| ~ spl29_31
| ~ spl29_34 ),
inference(superposition,[],[f5395,f5286]) ).
fof(f5455,plain,
( $false
| ~ spl29_31
| ~ spl29_34 ),
inference(forward_subsumption_resolution,[],[f5396,f319]) ).
fof(f5456,plain,
( ~ spl29_31
| ~ spl29_34 ),
inference(avatar_contradiction_clause,[],[f5455]) ).
cnf(s14,plain,
( spl29_13
| ~ spl29_15
| ~ spl29_16
| spl29_17
| ~ spl29_18
| ~ spl29_19
| spl29_22 ),
inference(sat_conversion,[],[f799]) ).
cnf(s16,plain,
( spl29_13
| ~ spl29_15
| ~ spl29_16
| spl29_17
| ~ spl29_18
| ~ spl29_19
| spl29_23 ),
inference(sat_conversion,[],[f811]) ).
cnf(s18,plain,
spl29_15,
inference(sat_conversion,[],[f845]) ).
cnf(s20,plain,
spl29_16,
inference(sat_conversion,[],[f855]) ).
cnf(s21,plain,
spl29_18,
inference(sat_conversion,[],[f859]) ).
cnf(s26,plain,
spl29_19,
inference(sat_conversion,[],[f895]) ).
cnf(s84,plain,
~ spl29_17,
inference(sat_conversion,[],[f1617]) ).
cnf(s96,plain,
( ~ spl29_13
| spl29_81 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s97,plain,
~ spl29_81,
inference(sat_conversion,[],[f1705]) ).
cnf(s107,plain,
( ~ spl29_22
| spl29_31 ),
inference(sat_conversion,[],[f1754]) ).
cnf(s110,plain,
( ~ spl29_23
| spl29_34 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s476,plain,
( ~ spl29_31
| ~ spl29_34 ),
inference(sat_conversion,[],[f5456]) ).
cnf(s548,plain,
~ spl29_13,
inference(rat,[],[s96,s97]) ).
cnf(s607,plain,
spl29_23,
inference(rat,[],[s16,s26,s21,s84,s20,s18,s548]) ).
cnf(s608,plain,
spl29_34,
inference(rat,[],[s110,s607]) ).
cnf(s609,plain,
~ spl29_31,
inference(rat,[],[s476,s608]) ).
cnf(s613,plain,
~ spl29_22,
inference(rat,[],[s107,s609]) ).
cnf(s619,plain,
$false,
inference(rat,[],[s14,s613,s26,s21,s84,s20,s18,s548]) ).
fof(f5460,plain,
$false,
inference(avatar_sat_refutation,[],[s619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:40:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.58 % (1487083)Will run a generic schedule for satisfiability detection.
% 0.81/0.58 % (1487091)dis+10_1_sil=32000:sp=arity:random_seed=1497026790:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.81/0.58 % (1487089)% WARNING: option uhcvi not known.
% 0.81/0.58 % (1487088)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3964044284_2999 on theBenchmark for (2999ds/0Mi)
% 0.81/0.58 % (1487092)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3069935321:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.81/0.58 % (1487090)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=247204640:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.81/0.58 % (1487089)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3710671261:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.81/0.58 % (1487093)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=105663798:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.81/0.58 % (1487094)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3978071666:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.81/0.58 % TRYING [1]
% 0.81/0.58 % TRYING [2]
% 0.81/0.58 % TRYING [3]
% 0.81/0.58 % TRYING [4]
% 0.81/0.58 % (1487091)Instruction limit reached!
% 0.81/0.58 % (1487091)------------------------------
% 0.81/0.58 % (1487091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.58 % (1487091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.58 % (1487091)CaDiCaL version: 2.1.3
% 0.81/0.58 % (1487091)Termination reason: Instruction limit
% 0.81/0.58 % (1487091)Termination phase: Saturation
% 0.81/0.58 % (1487091)Time elapsed: 0.038 s
% 0.81/0.58 % (1487091)Peak memory usage: 13 MB
% 0.81/0.58 % (1487091)Instructions burned: 103 (million)
% 0.81/0.58 % (1487102)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2744748078:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.81/0.58 % TRYING [1]
% 0.81/0.58 % TRYING [2]
% 0.81/0.58 % TRYING [3]
% 0.81/0.58 % TRYING [5]
% 0.81/0.58 % TRYING [4]
% 0.81/0.58 % (1487092)Instruction limit reached!
% 0.81/0.58 % (1487092)------------------------------
% 0.81/0.58 % (1487092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.58 % (1487092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.58 % (1487092)CaDiCaL version: 2.1.3
% 0.81/0.58 % (1487092)Termination reason: Instruction limit
% 0.81/0.58 % (1487092)Termination phase: Saturation
% 0.81/0.58 % (1487092)Time elapsed: 0.074 s
% 0.81/0.58 % (1487092)Peak memory usage: 13 MB
% 0.81/0.58 % (1487092)Instructions burned: 117 (million)
% 0.81/0.58 % (1487093)Instruction limit reached!
% 0.81/0.58 % (1487093)------------------------------
% 0.81/0.58 % (1487093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.58 % (1487093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.58 % (1487093)CaDiCaL version: 2.1.3
% 0.81/0.58 % (1487093)Termination reason: Instruction limit
% 0.81/0.58 % (1487093)Termination phase: Saturation
% 0.81/0.58 % (1487093)Time elapsed: 0.074 s
% 0.81/0.58 % (1487093)Peak memory usage: 13 MB
% 0.81/0.58 % (1487093)Instructions burned: 135 (million)
% 0.81/0.58 % (1487105)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1029010575:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.81/0.58 % (1487104)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1537645278:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.81/0.58 % (1487094)Instruction limit reached!
% 0.81/0.58 % (1487094)------------------------------
% 0.81/0.58 % (1487094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.58 % (1487094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.58 % (1487094)CaDiCaL version: 2.1.3
% 0.81/0.58 % (1487094)Termination reason: Instruction limit
% 0.81/0.58 % (1487094)Termination phase: Saturation
% 0.81/0.58 % (1487094)Time elapsed: 0.105 s
% 0.81/0.58 % (1487094)Peak memory usage: 15 MB
% 0.81/0.58 % (1487094)Instructions burned: 160 (million)
% 0.81/0.58 % (1487089) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1487083-1487089"...
% 0.81/0.58 % (1487089)...printing done.
% 0.81/0.58 % TRYING [5]
% 0.81/0.58 % (1487089)Refutation found. Thanks to Tanya!
% 0.81/0.58 % SZS status Theorem for theBenchmark
% 0.81/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.58 % (1487089)------------------------------
% 0.81/0.58 % (1487089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.58 % (1487089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.58 % (1487089)CaDiCaL version: 2.1.3
% 0.81/0.58 % (1487089)Termination reason: Refutation
% 0.81/0.58 % (1487089)Time elapsed: 0.112 s
% 0.81/0.58 % (1487089)Peak memory usage: 15 MB
% 0.81/0.58 % (1487089)Instructions burned: 176 (million)
% 0.81/0.58 % (1487083)Success in time 0.154 s
% 0.81/0.58 % Vampire exiting
%------------------------------------------------------------------------------