%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:47:01 AM UTC 2026
% Result : Theorem 4.01s 1.55s
% Output : Refutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 187 ( 39 unt; 10 def)
% Number of atoms : 752 ( 130 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 933 ( 368 ~; 389 |; 139 &)
% ( 17 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 9 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 205 ( 0 sgn 185 !; 20 ?)
% 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_0) ).
fof(f22,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f88,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(f89,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,[],[f88]) ).
fof(f92,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(f93,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,[],[f92]) ).
fof(f95,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(f96,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,[],[f95]) ).
fof(f103,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(f108,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(f113,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(f114,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,[],[f113]) ).
fof(f121,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(f122,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,[],[f121]) ).
fof(f141,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f156,definition,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ? [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) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f157,definition,
! [X2,X0,X1] :
( ( X2 = k8_filter_0(X0,X1)
<=> sP0(X1,X0,X2) )
| ~ sP1(X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP1(X2,X0,X1)
| 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(definition_folding,[],[f96,f157,f156]) ).
fof(f161,plain,
( k8_filter_0(sK3,sK5) != k8_filter_0(sK4,sK6)
& g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
& sK5 = sK6
& m1_filter_2(sK6,sK4)
& m1_filter_2(sK5,sK3)
& ~ v3_struct_0(sK4)
& v10_lattices(sK4)
& l3_lattices(sK4)
& ~ v3_struct_0(sK3)
& v10_lattices(sK3)
& l3_lattices(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f89]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ( ( X2 = k8_filter_0(X0,X1)
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| k8_filter_0(X0,X1) != X2 ) )
| ~ sP1(X2,X0,X1) ),
inference(nnf_transformation,[],[f157]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( ( k8_filter_0(X1,X2) = X0
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| k8_filter_0(X1,X2) != X0 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f162]) ).
fof(f164,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ! [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)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ? [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) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| k1_realset1(u2_lattices(X1),X0) != X3
| k1_realset1(u1_lattices(X1),X0) != X4
| g3_lattices(X0,X3,X4) != X2 ) ) )
& ( ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X5,k2_zfmisc_1(X0,X0),X0)
& ? [X6] :
( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
& k1_realset1(u2_lattices(X1),X0) = X5
& k1_realset1(u1_lattices(X1),X0) = X6
& g3_lattices(X0,X5,X6) = X2 ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| k1_realset1(u2_lattices(X1),X0) != X3
| k1_realset1(u1_lattices(X1),X0) != X4
| g3_lattices(X0,X3,X4) != X2 ) ) )
& ( ( v1_funct_1(sK7(X0,X1,X2))
& v1_funct_2(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK8(X0,X1,X2))
& v1_funct_2(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& k1_realset1(u2_lattices(X1),X0) = sK7(X0,X1,X2)
& k1_realset1(u1_lattices(X1),X0) = sK8(X0,X1,X2)
& g3_lattices(X0,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X5,sK7(X0,X1,X2)),skolemize(X6,sK8(X0,X1,X2))],[f165]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f174,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,[],[f70]) ).
fof(f193,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f161]) ).
fof(f194,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f161]) ).
fof(f195,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f161]) ).
fof(f196,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f161]) ).
fof(f197,plain,
v10_lattices(sK4),
inference(cnf_transformation,[],[f161]) ).
fof(f198,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f161]) ).
fof(f199,plain,
m1_filter_2(sK5,sK3),
inference(cnf_transformation,[],[f161]) ).
fof(f200,plain,
m1_filter_2(sK6,sK4),
inference(cnf_transformation,[],[f161]) ).
fof(f201,plain,
sK5 = sK6,
inference(cnf_transformation,[],[f161]) ).
fof(f202,plain,
g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)),
inference(cnf_transformation,[],[f161]) ).
fof(f203,plain,
k8_filter_0(sK3,sK5) != k8_filter_0(sK4,sK6),
inference(cnf_transformation,[],[f161]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = 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(cnf_transformation,[],[f93]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4
| ~ 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(cnf_transformation,[],[f93]) ).
fof(f210,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| k8_filter_0(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| g3_lattices(X0,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f166]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK8(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK7(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f222,plain,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
| 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(cnf_transformation,[],[f158]) ).
fof(f230,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(cnf_transformation,[],[f103]) ).
fof(f231,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(cnf_transformation,[],[f103]) ).
fof(f232,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f239,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(cnf_transformation,[],[f108]) ).
fof(f240,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(cnf_transformation,[],[f108]) ).
fof(f241,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f247,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f262,plain,
! [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(cnf_transformation,[],[f122]) ).
fof(f263,plain,
! [X0,X1] :
( v10_lattices(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f264,plain,
! [X0,X1] :
( ~ v3_struct_0(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f314,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f315,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f336,plain,
k8_filter_0(sK4,sK6) != k8_filter_0(sK3,sK6),
inference(definition_unfolding,[],[f203,f201]) ).
fof(f337,plain,
m1_filter_2(sK6,sK3),
inference(definition_unfolding,[],[f199,f201]) ).
fof(f338,plain,
! [X2,X1] :
( ~ sP1(k8_filter_0(X1,X2),X1,X2)
| sP0(X2,X1,k8_filter_0(X1,X2)) ),
inference(equality_resolution,[],[f210]) ).
fof(f347,plain,
l2_lattices(sK4),
inference(resolution,[],[f314,f196]) ).
fof(f353,plain,
l1_lattices(sK4),
inference(resolution,[],[f315,f196]) ).
fof(f528,plain,
! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f230,f270]) ).
fof(f531,plain,
! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f239,f270]) ).
fof(f533,plain,
( m1_filter_0(sK6,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(resolution,[],[f247,f200]) ).
fof(f534,plain,
( m1_filter_0(sK6,sK3)
| v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(resolution,[],[f247,f337]) ).
fof(f537,plain,
( m1_filter_0(sK6,sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f534,f195]) ).
fof(f538,plain,
( m1_filter_0(sK6,sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f533,f198]) ).
fof(f539,plain,
( m1_filter_0(sK6,sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f537,f194]) ).
fof(f540,plain,
( m1_filter_0(sK6,sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f538,f197]) ).
fof(f541,plain,
m1_filter_0(sK6,sK3),
inference(forward_subsumption_resolution,[],[f539,f193]) ).
fof(f542,plain,
m1_filter_0(sK6,sK4),
inference(forward_subsumption_resolution,[],[f540,f196]) ).
fof(f622,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))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP0(X1,X0,k8_filter_0(X0,X1)) ),
inference(resolution,[],[f222,f338]) ).
fof(f624,plain,
! [X0,X1] :
( ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP0(X1,X0,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f622,f264]) ).
fof(f625,plain,
! [X0,X1] :
( ~ l3_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP0(X1,X0,k8_filter_0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f624,f263]) ).
fof(f626,plain,
! [X0,X1] :
( sP0(X1,X0,k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(forward_subsumption_resolution,[],[f625,f262]) ).
fof(f673,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u1_lattices(sK4) = X2
| ~ v1_funct_1(u2_lattices(sK4))
| ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_1(u1_lattices(sK4))
| ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(superposition,[],[f206,f202]) ).
fof(f767,definition,
( spl31_30
<=> m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl31_30])],[avatar_definition]) ).
fof(f768,plain,
( m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ spl31_30 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f769,plain,
( ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl31_30 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f771,definition,
( spl31_31
<=> v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl31_31])],[avatar_definition]) ).
fof(f772,plain,
( v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ spl31_31 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f773,plain,
( ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl31_31 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f775,definition,
( spl31_32
<=> v1_funct_1(u1_lattices(sK4)) ),
introduced(definition,[new_symbols(definition,[spl31_32])],[avatar_definition]) ).
fof(f776,plain,
( v1_funct_1(u1_lattices(sK4))
| ~ spl31_32 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f777,plain,
( ~ v1_funct_1(u1_lattices(sK4))
| spl31_32 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f779,definition,
( spl31_33
<=> m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl31_33])],[avatar_definition]) ).
fof(f780,plain,
( m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ spl31_33 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f781,plain,
( ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl31_33 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f783,definition,
( spl31_34
<=> v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl31_34])],[avatar_definition]) ).
fof(f784,plain,
( v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ spl31_34 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f785,plain,
( ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| spl31_34 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f787,definition,
( spl31_35
<=> v1_funct_1(u2_lattices(sK4)) ),
introduced(definition,[new_symbols(definition,[spl31_35])],[avatar_definition]) ).
fof(f788,plain,
( v1_funct_1(u2_lattices(sK4))
| ~ spl31_35 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f789,plain,
( ~ v1_funct_1(u2_lattices(sK4))
| spl31_35 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f791,definition,
( spl31_36
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u1_lattices(sK4) = X2 ) ),
introduced(definition,[new_symbols(definition,[spl31_36])],[avatar_definition]) ).
fof(f792,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u1_lattices(sK4) = X2 )
| ~ spl31_36 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f793,plain,
( ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35
| spl31_36 ),
inference(avatar_split_clause,[],[f673,f791,f787,f783,f779,f775,f771,f767]) ).
fof(f794,plain,
( ~ l2_lattices(sK4)
| spl31_35 ),
inference(resolution,[],[f789,f232]) ).
fof(f795,plain,
( $false
| spl31_35 ),
inference(forward_subsumption_resolution,[],[f794,f347]) ).
fof(f796,plain,
spl31_35,
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f797,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u2_lattices(sK4) = X1
| ~ v1_funct_1(u2_lattices(sK4))
| ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_1(u1_lattices(sK4))
| ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(superposition,[],[f207,f202]) ).
fof(f815,plain,
( ~ l1_lattices(sK4)
| spl31_30 ),
inference(resolution,[],[f769,f531]) ).
fof(f816,plain,
( $false
| spl31_30 ),
inference(forward_subsumption_resolution,[],[f815,f353]) ).
fof(f817,plain,
spl31_30,
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f825,plain,
( ~ l1_lattices(sK4)
| spl31_31 ),
inference(resolution,[],[f773,f240]) ).
fof(f826,plain,
( $false
| spl31_31 ),
inference(forward_subsumption_resolution,[],[f825,f353]) ).
fof(f827,plain,
spl31_31,
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f828,plain,
( ~ l1_lattices(sK4)
| spl31_32 ),
inference(resolution,[],[f777,f241]) ).
fof(f829,plain,
( $false
| spl31_32 ),
inference(forward_subsumption_resolution,[],[f828,f353]) ).
fof(f830,plain,
spl31_32,
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f845,plain,
( ~ l2_lattices(sK4)
| spl31_33 ),
inference(resolution,[],[f781,f528]) ).
fof(f846,plain,
( $false
| spl31_33 ),
inference(forward_subsumption_resolution,[],[f845,f347]) ).
fof(f847,plain,
spl31_33,
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f852,plain,
( ~ l2_lattices(sK4)
| spl31_34 ),
inference(resolution,[],[f785,f231]) ).
fof(f853,plain,
( $false
| spl31_34 ),
inference(forward_subsumption_resolution,[],[f852,f347]) ).
fof(f854,plain,
spl31_34,
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u2_lattices(sK4) = X1
| ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_1(u1_lattices(sK4))
| ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) )
| ~ spl31_35 ),
inference(forward_subsumption_resolution,[],[f797,f788]) ).
fof(f860,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u2_lattices(sK4) = X1
| ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_1(u1_lattices(sK4))
| ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) )
| ~ spl31_34
| ~ spl31_35 ),
inference(forward_subsumption_resolution,[],[f855,f784]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u2_lattices(sK4) = X1
| ~ v1_funct_1(u1_lattices(sK4))
| ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) )
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35 ),
inference(forward_subsumption_resolution,[],[f860,f780]) ).
fof(f871,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u2_lattices(sK4) = X1
| ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) )
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35 ),
inference(forward_subsumption_resolution,[],[f865,f776]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u2_lattices(sK4) = X1
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) )
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35 ),
inference(forward_subsumption_resolution,[],[f871,f772]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
| u2_lattices(sK4) = X1 )
| ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35 ),
inference(forward_subsumption_resolution,[],[f873,f768]) ).
fof(f888,plain,
( u1_lattices(sK3) = u1_lattices(sK4)
| ~ spl31_36 ),
inference(equality_resolution,[],[f792]) ).
fof(f941,plain,
( u2_lattices(sK3) = u2_lattices(sK4)
| ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35 ),
inference(equality_resolution,[],[f875]) ).
fof(f1072,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| k8_filter_0(X0,X1) = g3_lattices(X1,sK7(X1,X0,k8_filter_0(X0,X1)),sK8(X1,X0,k8_filter_0(X0,X1))) ),
inference(resolution,[],[f626,f212]) ).
fof(f1073,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| k1_realset1(u2_lattices(X0),X1) = sK7(X1,X0,k8_filter_0(X0,X1)) ),
inference(resolution,[],[f626,f214]) ).
fof(f1074,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| k1_realset1(u1_lattices(X0),X1) = sK8(X1,X0,k8_filter_0(X0,X1)) ),
inference(resolution,[],[f626,f213]) ).
fof(f2381,plain,
( ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| k1_realset1(u2_lattices(sK3),sK6) = sK7(sK6,sK3,k8_filter_0(sK3,sK6)) ),
inference(resolution,[],[f1073,f541]) ).
fof(f2382,plain,
( ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| v3_struct_0(sK4)
| k1_realset1(u2_lattices(sK4),sK6) = sK7(sK6,sK4,k8_filter_0(sK4,sK6)) ),
inference(resolution,[],[f1073,f542]) ).
fof(f2386,plain,
( ~ l3_lattices(sK4)
| v3_struct_0(sK4)
| k1_realset1(u2_lattices(sK4),sK6) = sK7(sK6,sK4,k8_filter_0(sK4,sK6)) ),
inference(forward_subsumption_resolution,[],[f2382,f197]) ).
fof(f2387,plain,
( ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| k1_realset1(u2_lattices(sK3),sK6) = sK7(sK6,sK3,k8_filter_0(sK3,sK6)) ),
inference(forward_subsumption_resolution,[],[f2381,f194]) ).
fof(f2388,plain,
( v3_struct_0(sK4)
| k1_realset1(u2_lattices(sK4),sK6) = sK7(sK6,sK4,k8_filter_0(sK4,sK6)) ),
inference(forward_subsumption_resolution,[],[f2386,f196]) ).
fof(f2389,plain,
( v3_struct_0(sK3)
| k1_realset1(u2_lattices(sK3),sK6) = sK7(sK6,sK3,k8_filter_0(sK3,sK6)) ),
inference(forward_subsumption_resolution,[],[f2387,f193]) ).
fof(f2390,plain,
k1_realset1(u2_lattices(sK4),sK6) = sK7(sK6,sK4,k8_filter_0(sK4,sK6)),
inference(forward_subsumption_resolution,[],[f2388,f198]) ).
fof(f2391,plain,
k1_realset1(u2_lattices(sK3),sK6) = sK7(sK6,sK3,k8_filter_0(sK3,sK6)),
inference(forward_subsumption_resolution,[],[f2389,f195]) ).
fof(f2392,plain,
( k1_realset1(u2_lattices(sK3),sK6) = sK7(sK6,sK4,k8_filter_0(sK4,sK6))
| ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35 ),
inference(forward_demodulation,[],[f2390,f941]) ).
fof(f2399,definition,
( spl31_131
<=> sP0(sK6,sK3,k8_filter_0(sK3,sK6)) ),
introduced(definition,[new_symbols(definition,[spl31_131])],[avatar_definition]) ).
fof(f2400,plain,
( sP0(sK6,sK3,k8_filter_0(sK3,sK6))
| ~ spl31_131 ),
inference(avatar_component_clause,[],[f2399]) ).
fof(f2401,plain,
( ~ sP0(sK6,sK3,k8_filter_0(sK3,sK6))
| spl31_131 ),
inference(avatar_component_clause,[],[f2399]) ).
fof(f2428,plain,
( ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| k1_realset1(u1_lattices(sK3),sK6) = sK8(sK6,sK3,k8_filter_0(sK3,sK6)) ),
inference(resolution,[],[f1074,f541]) ).
fof(f2429,plain,
( ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| v3_struct_0(sK4)
| k1_realset1(u1_lattices(sK4),sK6) = sK8(sK6,sK4,k8_filter_0(sK4,sK6)) ),
inference(resolution,[],[f1074,f542]) ).
fof(f2433,plain,
( ~ l3_lattices(sK4)
| v3_struct_0(sK4)
| k1_realset1(u1_lattices(sK4),sK6) = sK8(sK6,sK4,k8_filter_0(sK4,sK6)) ),
inference(forward_subsumption_resolution,[],[f2429,f197]) ).
fof(f2434,plain,
( ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| k1_realset1(u1_lattices(sK3),sK6) = sK8(sK6,sK3,k8_filter_0(sK3,sK6)) ),
inference(forward_subsumption_resolution,[],[f2428,f194]) ).
fof(f2435,plain,
( v3_struct_0(sK4)
| k1_realset1(u1_lattices(sK4),sK6) = sK8(sK6,sK4,k8_filter_0(sK4,sK6)) ),
inference(forward_subsumption_resolution,[],[f2433,f196]) ).
fof(f2436,plain,
( v3_struct_0(sK3)
| k1_realset1(u1_lattices(sK3),sK6) = sK8(sK6,sK3,k8_filter_0(sK3,sK6)) ),
inference(forward_subsumption_resolution,[],[f2434,f193]) ).
fof(f2437,plain,
k1_realset1(u1_lattices(sK4),sK6) = sK8(sK6,sK4,k8_filter_0(sK4,sK6)),
inference(forward_subsumption_resolution,[],[f2435,f198]) ).
fof(f2438,plain,
k1_realset1(u1_lattices(sK3),sK6) = sK8(sK6,sK3,k8_filter_0(sK3,sK6)),
inference(forward_subsumption_resolution,[],[f2436,f195]) ).
fof(f2439,plain,
( k1_realset1(u1_lattices(sK3),sK6) = sK8(sK6,sK4,k8_filter_0(sK4,sK6))
| ~ spl31_36 ),
inference(forward_demodulation,[],[f2437,f888]) ).
fof(f2440,plain,
( v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| ~ m1_filter_0(sK6,sK3)
| spl31_131 ),
inference(resolution,[],[f2401,f626]) ).
fof(f2441,plain,
( ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| ~ m1_filter_0(sK6,sK3)
| spl31_131 ),
inference(forward_subsumption_resolution,[],[f2440,f195]) ).
fof(f2442,plain,
( ~ l3_lattices(sK3)
| ~ m1_filter_0(sK6,sK3)
| spl31_131 ),
inference(forward_subsumption_resolution,[],[f2441,f194]) ).
fof(f2443,plain,
( ~ m1_filter_0(sK6,sK3)
| spl31_131 ),
inference(forward_subsumption_resolution,[],[f2442,f193]) ).
fof(f2444,plain,
( $false
| spl31_131 ),
inference(forward_subsumption_resolution,[],[f2443,f541]) ).
fof(f2445,plain,
spl31_131,
inference(avatar_contradiction_clause,[],[f2444]) ).
fof(f2519,plain,
( k8_filter_0(sK3,sK6) = g3_lattices(sK6,sK7(sK6,sK3,k8_filter_0(sK3,sK6)),sK8(sK6,sK3,k8_filter_0(sK3,sK6)))
| ~ spl31_131 ),
inference(resolution,[],[f2400,f212]) ).
fof(f2522,plain,
( k8_filter_0(sK3,sK6) = g3_lattices(sK6,sK7(sK6,sK3,k8_filter_0(sK3,sK6)),k1_realset1(u1_lattices(sK3),sK6))
| ~ spl31_131 ),
inference(forward_demodulation,[],[f2519,f2438]) ).
fof(f2523,plain,
( k8_filter_0(sK3,sK6) = g3_lattices(sK6,k1_realset1(u2_lattices(sK3),sK6),k1_realset1(u1_lattices(sK3),sK6))
| ~ spl31_131 ),
inference(forward_demodulation,[],[f2522,f2391]) ).
fof(f3140,plain,
( ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| v3_struct_0(sK4)
| k8_filter_0(sK4,sK6) = g3_lattices(sK6,sK7(sK6,sK4,k8_filter_0(sK4,sK6)),sK8(sK6,sK4,k8_filter_0(sK4,sK6))) ),
inference(resolution,[],[f1072,f542]) ).
fof(f3144,plain,
( ~ l3_lattices(sK4)
| v3_struct_0(sK4)
| k8_filter_0(sK4,sK6) = g3_lattices(sK6,sK7(sK6,sK4,k8_filter_0(sK4,sK6)),sK8(sK6,sK4,k8_filter_0(sK4,sK6))) ),
inference(forward_subsumption_resolution,[],[f3140,f197]) ).
fof(f3146,plain,
( v3_struct_0(sK4)
| k8_filter_0(sK4,sK6) = g3_lattices(sK6,sK7(sK6,sK4,k8_filter_0(sK4,sK6)),sK8(sK6,sK4,k8_filter_0(sK4,sK6))) ),
inference(forward_subsumption_resolution,[],[f3144,f196]) ).
fof(f3148,plain,
k8_filter_0(sK4,sK6) = g3_lattices(sK6,sK7(sK6,sK4,k8_filter_0(sK4,sK6)),sK8(sK6,sK4,k8_filter_0(sK4,sK6))),
inference(forward_subsumption_resolution,[],[f3146,f198]) ).
fof(f3150,plain,
( k8_filter_0(sK4,sK6) = g3_lattices(sK6,sK7(sK6,sK4,k8_filter_0(sK4,sK6)),k1_realset1(u1_lattices(sK3),sK6))
| ~ spl31_36 ),
inference(forward_demodulation,[],[f3148,f2439]) ).
fof(f3152,plain,
( k8_filter_0(sK4,sK6) = g3_lattices(sK6,k1_realset1(u2_lattices(sK3),sK6),k1_realset1(u1_lattices(sK3),sK6))
| ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35
| ~ spl31_36 ),
inference(forward_demodulation,[],[f3150,f2392]) ).
fof(f3154,plain,
( k8_filter_0(sK4,sK6) = k8_filter_0(sK3,sK6)
| ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35
| ~ spl31_36
| ~ spl31_131 ),
inference(forward_demodulation,[],[f3152,f2523]) ).
fof(f3155,plain,
( $false
| ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35
| ~ spl31_36
| ~ spl31_131 ),
inference(forward_subsumption_resolution,[],[f3154,f336]) ).
fof(f3156,plain,
( ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35
| ~ spl31_36
| ~ spl31_131 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
cnf(s7,plain,
( ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35
| spl31_36 ),
inference(sat_conversion,[],[f793]) ).
cnf(s8,plain,
spl31_35,
inference(sat_conversion,[],[f796]) ).
cnf(s9,plain,
spl31_30,
inference(sat_conversion,[],[f817]) ).
cnf(s10,plain,
spl31_31,
inference(sat_conversion,[],[f827]) ).
cnf(s11,plain,
spl31_32,
inference(sat_conversion,[],[f830]) ).
cnf(s13,plain,
spl31_33,
inference(sat_conversion,[],[f847]) ).
cnf(s14,plain,
spl31_34,
inference(sat_conversion,[],[f854]) ).
cnf(s114,plain,
spl31_131,
inference(sat_conversion,[],[f2445]) ).
cnf(s128,plain,
( ~ spl31_30
| ~ spl31_31
| ~ spl31_32
| ~ spl31_33
| ~ spl31_34
| ~ spl31_35
| ~ spl31_36
| ~ spl31_131 ),
inference(sat_conversion,[],[f3156]) ).
cnf(s139,plain,
~ spl31_36,
inference(rat,[],[s128,s114,s9,s10,s14,s13,s11,s8]) ).
cnf(s141,plain,
$false,
inference(rat,[],[s7,s139,s8,s14,s13,s11,s10,s9]) ).
fof(f3157,plain,
$false,
inference(avatar_sat_refutation,[],[s141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:45:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 4.01/1.55 % (2911427)Detected formulas, will run a generic FOF schedule.
% 4.01/1.55 % (2911435)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=205039977:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.01/1.55 % (2911435)Refutation not found, incomplete strategy
% 4.01/1.55 % (2911435)------------------------------
% 4.01/1.55 % (2911435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (2911435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (2911435)CaDiCaL version: 2.1.3
% 4.01/1.55 % (2911435)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.55 % (2911435)Time elapsed: 0.003 s
% 4.01/1.55 % (2911435)Peak memory usage: 89 MB
% 4.01/1.55 % (2911435)Instructions burned: 5 (million)
% 4.01/1.55 % (2911437)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3863260729:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.01/1.55 % (2911438)dis-21_1_sil=8000:lcm=predicate:random_seed=3616468218:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.01/1.55 % (2911434)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=2611666491:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.01/1.55 % (2911433)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=2485894419:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.01/1.55 % (2911432)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=445187663:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.01/1.55 % (2911436)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1115327814:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.01/1.55 % (2911436)Refutation not found, incomplete strategy
% 4.01/1.55 % (2911436)------------------------------
% 4.01/1.55 % (2911436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (2911436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (2911436)CaDiCaL version: 2.1.3
% 4.01/1.55 % (2911436)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.55 % (2911436)Time elapsed: 0.042 s
% 4.01/1.55 % (2911436)Peak memory usage: 89 MB
% 4.01/1.55 % (2911436)Instructions burned: 72 (million)
% 4.01/1.55 % (2911438)Instruction limit reached!
% 4.01/1.55 % (2911438)------------------------------
% 4.01/1.55 % (2911438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (2911438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (2911438)CaDiCaL version: 2.1.3
% 4.01/1.55 % (2911438)Termination reason: Instruction limit
% 4.01/1.55 % (2911438)Termination phase: Saturation
% 4.01/1.55 % (2911438)Time elapsed: 0.074 s
% 4.01/1.55 % (2911438)Peak memory usage: 91 MB
% 4.01/1.55 % (2911438)Instructions burned: 130 (million)
% 4.01/1.55 % (2911437)Instruction limit reached!
% 4.01/1.55 % (2911437)------------------------------
% 4.01/1.55 % (2911437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (2911437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (2911437)CaDiCaL version: 2.1.3
% 4.01/1.55 % (2911437)Termination reason: Instruction limit
% 4.01/1.55 % (2911437)Termination phase: Saturation
% 4.01/1.55 % (2911437)Time elapsed: 0.088 s
% 4.01/1.55 % (2911437)Peak memory usage: 90 MB
% 4.01/1.55 % (2911437)Instructions burned: 140 (million)
% 4.01/1.55 % (2911435)------------------------------
% 4.01/1.55 % (2911435)------------------------------
% 4.01/1.55 % (2911448)lrs+1011_1_sil=32000:sp=occurrence:random_seed=687015363:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.01/1.55 % (2911448)Refutation not found, incomplete strategy
% 4.01/1.55 % (2911448)------------------------------
% 4.01/1.55 % (2911448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (2911448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (2911448)CaDiCaL version: 2.1.3
% 4.01/1.55 % (2911448)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.55 % (2911448)Time elapsed: 0.008 s
% 4.01/1.55 % (2911448)Peak memory usage: 89 MB
% 4.01/1.55 % (2911448)Instructions burned: 20 (million)
% 4.01/1.55 % (2911446)lrs+10_1_sil=8000:sp=occurrence:random_seed=2978327190:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.01/1.55 % (2911447)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3957957306:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.01/1.55 % (2911446)First to succeed.
% 4.01/1.55 % (2911446)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2911427"
% 4.01/1.55 % (2911436)------------------------------
% 4.01/1.55 % (2911436)------------------------------
% 4.01/1.55 % (2911447)Instruction limit reached!
% 4.01/1.55 % (2911447)------------------------------
% 4.01/1.55 % (2911447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (2911447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (2911447)CaDiCaL version: 2.1.3
% 4.01/1.55 % (2911447)Termination reason: Instruction limit
% 4.01/1.55 % (2911447)Termination phase: Saturation
% 4.01/1.55 % (2911447)Time elapsed: 0.084 s
% 4.01/1.55 % (2911447)Peak memory usage: 90 MB
% 4.01/1.55 % (2911447)Instructions burned: 157 (million)
% 4.01/1.55 % (2911448)------------------------------
% 4.01/1.55 % (2911448)------------------------------
% 4.01/1.55 % (2911452)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=1785073401:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.01/1.55 % (2911454)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3908988902:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.01/1.55 % (2911453)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1877620053:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.01/1.55 % (2911446)Refutation found. Thanks to Tanya!
% 4.01/1.55 % SZS status Theorem for theBenchmark
% 4.01/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.45/1.74 % (2911446)------------------------------
% 5.45/1.74 % (2911446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.74 % (2911446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.74 % (2911446)CaDiCaL version: 2.1.3
% 5.45/1.74 % (2911446)Termination reason: Refutation
% 5.45/1.74 % (2911446)Time elapsed: 0.067 s
% 5.45/1.74 % (2911446)Peak memory usage: 91 MB
% 5.45/1.74 % (2911446)Instructions burned: 104 (million)
% 5.45/1.74 % (2911446)------------------------------
% 5.45/1.74 % (2911446)------------------------------
% 5.45/1.74 % (2911427)Success in time 0.686 s
% 5.45/1.74 % Vampire exiting
%------------------------------------------------------------------------------