%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT331+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 4.72s 1.78s
% Output : Refutation 6.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 15
% Syntax : Number of formulae : 188 ( 28 unt; 5 def)
% Number of atoms : 840 ( 154 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1041 ( 389 ~; 416 |; 194 &)
% ( 11 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 200 ( 0 sgn 180 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2414,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f2439,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))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_filter_0) ).
fof(f2506,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(f2509,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( u1_struct_0(k8_filter_0(X0,X1)) = X1
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_filter_0) ).
fof(f2551,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(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2872,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(f2922,axiom,
! [X0] :
( l3_lattices(X0)
=> ! [X1] :
( l3_lattices(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))
=> k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_filter_2) ).
fof(f2923,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_filter_2) ).
fof(f3004,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(f3005,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)],[f3004]) ).
fof(f3009,plain,
! [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))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f2439]) ).
fof(f3010,plain,
! [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))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f3009]) ).
fof(f3011,plain,
! [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))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f3010]) ).
fof(f3012,plain,
! [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))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f3011]) ).
fof(f3013,plain,
! [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))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f3012]) ).
fof(f3014,plain,
! [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))
& v3_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f3013]) ).
fof(f3019,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,[],[f3005]) ).
fof(f3020,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,[],[f3019]) ).
fof(f3037,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,[],[f2872]) ).
fof(f3038,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,[],[f3037]) ).
fof(f3059,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2923]) ).
fof(f3060,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3059]) ).
fof(f3061,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(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))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2922]) ).
fof(f3062,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(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))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3061]) ).
fof(f3071,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,[],[f2506]) ).
fof(f3072,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,[],[f3071]) ).
fof(f3073,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2414]) ).
fof(f3074,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3073]) ).
fof(f3075,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2597]) ).
fof(f3076,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3075]) ).
fof(f3077,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,[],[f2551]) ).
fof(f3078,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,[],[f3077]) ).
fof(f3103,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(k8_filter_0(X0,X1)) = X1
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2509]) ).
fof(f3104,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(k8_filter_0(X0,X1)) = X1
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3103]) ).
fof(f3107,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(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(ennf_transformation,[],[f3014]) ).
fof(f3108,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(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(flattening,[],[f3107]) ).
fof(f3109,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(f3110,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(f3111,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,[],[f3072,f3110,f3109]) ).
fof(f3112,plain,
( k8_filter_0(sK2,sK4) != k8_filter_0(sK3,sK5)
& g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
& sK4 = sK5
& m1_filter_2(sK5,sK3)
& m1_filter_2(sK4,sK2)
& ~ v3_struct_0(sK3)
& v10_lattices(sK3)
& l3_lattices(sK3)
& ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& l3_lattices(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f3020]) ).
fof(f3115,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,[],[f3038]) ).
fof(f3117,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,[],[f3110]) ).
fof(f3118,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,[],[f3117]) ).
fof(f3119,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,[],[f3109]) ).
fof(f3120,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,[],[f3119]) ).
fof(f3121,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(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)
& v1_funct_1(sK9(X0,X1,X2))
& v1_funct_2(sK9(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(sK9(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& k1_realset1(u2_lattices(X1),X0) = sK8(X0,X1,X2)
& k1_realset1(u1_lattices(X1),X0) = sK9(X0,X1,X2)
& g3_lattices(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X5,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X2))],[f3120]) ).
fof(f3123,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f3112]) ).
fof(f3124,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f3112]) ).
fof(f3125,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f3112]) ).
fof(f3126,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f3112]) ).
fof(f3127,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f3112]) ).
fof(f3128,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f3112]) ).
fof(f3129,plain,
m1_filter_2(sK4,sK2),
inference(cnf_transformation,[],[f3112]) ).
fof(f3130,plain,
m1_filter_2(sK5,sK3),
inference(cnf_transformation,[],[f3112]) ).
fof(f3131,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f3112]) ).
fof(f3132,plain,
g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)),
inference(cnf_transformation,[],[f3112]) ).
fof(f3133,plain,
k8_filter_0(sK2,sK4) != k8_filter_0(sK3,sK5),
inference(cnf_transformation,[],[f3112]) ).
fof(f3144,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3115]) ).
fof(f3160,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = k1_lattice2(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3060]) ).
fof(f3161,plain,
! [X0,X1] :
( ~ l3_lattices(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))
| k1_lattice2(X0) = k1_lattice2(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3062]) ).
fof(f3175,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| k8_filter_0(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f3118]) ).
fof(f3177,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| g3_lattices(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f3121]) ).
fof(f3178,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK9(X0,X1,X2) ),
inference(cnf_transformation,[],[f3121]) ).
fof(f3179,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK8(X0,X1,X2) ),
inference(cnf_transformation,[],[f3121]) ).
fof(f3187,plain,
! [X2,X0,X1] :
( ~ m1_filter_0(X1,X0)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| sP1(X2,X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3111]) ).
fof(f3188,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3074]) ).
fof(f3189,plain,
! [X0] :
( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3076]) ).
fof(f3190,plain,
! [X0] :
( u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3076]) ).
fof(f3192,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,[],[f3078]) ).
fof(f3216,plain,
! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = u1_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3104]) ).
fof(f3217,plain,
! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = u2_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3104]) ).
fof(f3218,plain,
! [X0,X1] :
( u1_struct_0(k8_filter_0(X0,X1)) = X1
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3104]) ).
fof(f3220,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,[],[f3108]) ).
fof(f3221,plain,
! [X0,X1] :
( v3_lattices(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f3108]) ).
fof(f3222,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,[],[f3108]) ).
fof(f3223,plain,
k8_filter_0(sK3,sK5) != k8_filter_0(sK2,sK5),
inference(definition_unfolding,[],[f3133,f3131]) ).
fof(f3224,plain,
m1_filter_2(sK5,sK2),
inference(definition_unfolding,[],[f3129,f3131]) ).
fof(f3240,plain,
! [X2,X1] :
( ~ sP1(k8_filter_0(X1,X2),X1,X2)
| sP0(X2,X1,k8_filter_0(X1,X2)) ),
inference(equality_resolution,[],[f3175]) ).
fof(f3272,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| k8_filter_0(X0,X1) = g3_lattices(u1_struct_0(k8_filter_0(X0,X1)),u2_lattices(k8_filter_0(X0,X1)),u1_lattices(k8_filter_0(X0,X1)))
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(resolution,[],[f3221,f3188]) ).
fof(f3273,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(u1_struct_0(k8_filter_0(X0,X1)),u2_lattices(k8_filter_0(X0,X1)),u1_lattices(k8_filter_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f3272,f3192]) ).
fof(f3282,plain,
( v3_struct_0(sK2)
| g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)) = k1_lattice2(k1_lattice2(sK2))
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f3160,f3124]) ).
fof(f3287,plain,
( g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)) = k1_lattice2(k1_lattice2(sK2))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f3282,f3125]) ).
fof(f3290,plain,
g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)) = k1_lattice2(k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f3287,f3123]) ).
fof(f3335,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP1(X0,X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f3187,f3144]) ).
fof(f3336,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(duplicate_literal_removal,[],[f3335]) ).
fof(f3337,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(X0)
| ~ m1_filter_2(X1,X0)
| sP0(X1,X0,k8_filter_0(X0,X1)) ),
inference(resolution,[],[f3336,f3240]) ).
fof(f3442,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2))
| k1_lattice2(X0) = k1_lattice2(sK2)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f3161,f3123]) ).
fof(f3446,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK2)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK2)) ),
inference(forward_demodulation,[],[f3442,f3290]) ).
fof(f3601,definition,
( spl10_29
<=> l3_lattices(k8_filter_0(sK2,sK5)) ),
introduced(definition,[new_symbols(definition,[spl10_29])],[avatar_definition]) ).
fof(f3602,plain,
( l3_lattices(k8_filter_0(sK2,sK5))
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f3601]) ).
fof(f3603,plain,
( ~ l3_lattices(k8_filter_0(sK2,sK5))
| spl10_29 ),
inference(avatar_component_clause,[],[f3601]) ).
fof(f3605,definition,
( spl10_30
<=> v10_lattices(k8_filter_0(sK2,sK5)) ),
introduced(definition,[new_symbols(definition,[spl10_30])],[avatar_definition]) ).
fof(f3606,plain,
( v10_lattices(k8_filter_0(sK2,sK5))
| ~ spl10_30 ),
inference(avatar_component_clause,[],[f3605]) ).
fof(f3607,plain,
( ~ v10_lattices(k8_filter_0(sK2,sK5))
| spl10_30 ),
inference(avatar_component_clause,[],[f3605]) ).
fof(f3609,definition,
( spl10_31
<=> v3_struct_0(k8_filter_0(sK2,sK5)) ),
introduced(definition,[new_symbols(definition,[spl10_31])],[avatar_definition]) ).
fof(f3610,plain,
( ~ v3_struct_0(k8_filter_0(sK2,sK5))
| spl10_31 ),
inference(avatar_component_clause,[],[f3609]) ).
fof(f3611,plain,
( v3_struct_0(k8_filter_0(sK2,sK5))
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f3609]) ).
fof(f3639,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| spl10_29 ),
inference(resolution,[],[f3603,f3192]) ).
fof(f3640,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f3639,f3125]) ).
fof(f3641,plain,
( ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f3640,f3124]) ).
fof(f3642,plain,
( ~ m1_filter_0(sK5,sK2)
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f3641,f3123]) ).
fof(f3651,plain,
( ~ m1_filter_2(sK5,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl10_29 ),
inference(resolution,[],[f3642,f3144]) ).
fof(f3652,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f3651,f3224]) ).
fof(f3653,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f3652,f3125]) ).
fof(f3654,plain,
( ~ l3_lattices(sK2)
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f3653,f3124]) ).
fof(f3655,plain,
( $false
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f3654,f3123]) ).
fof(f3656,plain,
spl10_29,
inference(avatar_contradiction_clause,[],[f3655]) ).
fof(f3681,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| spl10_30 ),
inference(resolution,[],[f3607,f3220]) ).
fof(f3682,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f3681,f3125]) ).
fof(f3683,plain,
( ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f3682,f3124]) ).
fof(f3684,plain,
( ~ m1_filter_0(sK5,sK2)
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f3683,f3123]) ).
fof(f3687,plain,
( ~ m1_filter_2(sK5,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl10_30 ),
inference(resolution,[],[f3684,f3144]) ).
fof(f3688,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f3687,f3224]) ).
fof(f3689,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f3688,f3125]) ).
fof(f3690,plain,
( ~ l3_lattices(sK2)
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f3689,f3124]) ).
fof(f3691,plain,
( $false
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f3690,f3123]) ).
fof(f3692,plain,
spl10_30,
inference(avatar_contradiction_clause,[],[f3691]) ).
fof(f3718,plain,
( k1_lattice2(sK2) = k1_lattice2(sK3)
| g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) != k1_lattice2(k1_lattice2(sK2)) ),
inference(resolution,[],[f3446,f3126]) ).
fof(f3729,plain,
( g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)) != k1_lattice2(k1_lattice2(sK2))
| k1_lattice2(sK2) = k1_lattice2(sK3) ),
inference(forward_demodulation,[],[f3718,f3132]) ).
fof(f3740,plain,
k1_lattice2(sK2) = k1_lattice2(sK3),
inference(forward_subsumption_resolution,[],[f3729,f3290]) ).
fof(f3750,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| ~ spl10_31 ),
inference(resolution,[],[f3611,f3222]) ).
fof(f3751,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f3750,f3125]) ).
fof(f3752,plain,
( ~ l3_lattices(sK2)
| ~ m1_filter_0(sK5,sK2)
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f3751,f3124]) ).
fof(f3753,plain,
( ~ m1_filter_0(sK5,sK2)
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f3752,f3123]) ).
fof(f3763,plain,
( ~ m1_filter_2(sK5,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl10_31 ),
inference(resolution,[],[f3753,f3144]) ).
fof(f3764,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f3763,f3224]) ).
fof(f3765,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f3764,f3125]) ).
fof(f3766,plain,
( ~ l3_lattices(sK2)
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f3765,f3124]) ).
fof(f3767,plain,
( $false
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f3766,f3123]) ).
fof(f3768,plain,
~ spl10_31,
inference(avatar_contradiction_clause,[],[f3767]) ).
fof(f3773,plain,
( u2_lattices(sK3) = u1_lattices(k1_lattice2(sK2))
| v3_struct_0(sK3)
| ~ l3_lattices(sK3) ),
inference(superposition,[],[f3190,f3740]) ).
fof(f3774,plain,
( u1_lattices(sK3) = u2_lattices(k1_lattice2(sK2))
| v3_struct_0(sK3)
| ~ l3_lattices(sK3) ),
inference(superposition,[],[f3189,f3740]) ).
fof(f3775,plain,
( u1_lattices(sK3) = u2_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f3774,f3128]) ).
fof(f3776,plain,
( u2_lattices(sK3) = u1_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f3773,f3128]) ).
fof(f3780,plain,
u1_lattices(sK3) = u2_lattices(k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f3775,f3126]) ).
fof(f3781,plain,
u2_lattices(sK3) = u1_lattices(k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f3776,f3126]) ).
fof(f3790,plain,
( u1_lattices(sK2) = u1_lattices(sK3)
| v3_struct_0(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f3189,f3780]) ).
fof(f3791,plain,
( u1_lattices(sK2) = u1_lattices(sK3)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f3790,f3125]) ).
fof(f3793,plain,
u1_lattices(sK2) = u1_lattices(sK3),
inference(forward_subsumption_resolution,[],[f3791,f3123]) ).
fof(f3835,plain,
( u2_lattices(sK2) = u2_lattices(sK3)
| v3_struct_0(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f3190,f3781]) ).
fof(f3838,plain,
( u2_lattices(sK2) = u2_lattices(sK3)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f3835,f3125]) ).
fof(f3841,plain,
u2_lattices(sK2) = u2_lattices(sK3),
inference(forward_subsumption_resolution,[],[f3838,f3123]) ).
fof(f3853,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| k8_filter_0(X0,X1) = g3_lattices(u1_struct_0(k8_filter_0(X0,X1)),u2_lattices(k8_filter_0(X0,X1)),u1_lattices(k8_filter_0(X0,X1)))
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f3273,f3144]) ).
fof(f3854,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| k8_filter_0(X0,X1) = g3_lattices(u1_struct_0(k8_filter_0(X0,X1)),u2_lattices(k8_filter_0(X0,X1)),u1_lattices(k8_filter_0(X0,X1)))
| ~ m1_filter_2(X1,X0) ),
inference(duplicate_literal_removal,[],[f3853]) ).
fof(f4136,plain,
! [X0] :
( ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| k8_filter_0(sK3,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK3,X0)),u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3) ),
inference(resolution,[],[f3854,f3127]) ).
fof(f4145,plain,
! [X0] :
( v3_struct_0(sK3)
| k8_filter_0(sK3,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK3,X0)),u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f4136,f3126]) ).
fof(f4151,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK3,X0)),u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f4145,f3128]) ).
fof(f4159,plain,
! [X0] :
( ~ l3_lattices(k8_filter_0(sK2,X0))
| v3_struct_0(k8_filter_0(sK2,X0))
| v3_struct_0(sK2)
| ~ v10_lattices(k8_filter_0(sK2,X0))
| ~ l3_lattices(sK2)
| ~ m1_filter_2(X0,sK2)
| sP0(X0,sK2,k8_filter_0(sK2,X0)) ),
inference(resolution,[],[f3337,f3124]) ).
fof(f4170,plain,
! [X0] :
( ~ l3_lattices(k8_filter_0(sK2,X0))
| v3_struct_0(k8_filter_0(sK2,X0))
| ~ v10_lattices(k8_filter_0(sK2,X0))
| ~ l3_lattices(sK2)
| ~ m1_filter_2(X0,sK2)
| sP0(X0,sK2,k8_filter_0(sK2,X0)) ),
inference(forward_subsumption_resolution,[],[f4159,f3125]) ).
fof(f4176,plain,
! [X0] :
( ~ v10_lattices(k8_filter_0(sK2,X0))
| v3_struct_0(k8_filter_0(sK2,X0))
| ~ l3_lattices(k8_filter_0(sK2,X0))
| ~ m1_filter_2(X0,sK2)
| sP0(X0,sK2,k8_filter_0(sK2,X0)) ),
inference(forward_subsumption_resolution,[],[f4170,f3123]) ).
fof(f4532,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3)
| ~ m1_filter_0(X0,sK3)
| v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(superposition,[],[f4151,f3218]) ).
fof(f4537,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3)
| v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f4532,f3144]) ).
fof(f4540,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f4537,f3128]) ).
fof(f4543,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f4540,f3127]) ).
fof(f4546,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),u1_lattices(k8_filter_0(sK3,X0)))
| ~ m1_filter_2(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f4543,f3126]) ).
fof(f4648,plain,
( v3_struct_0(k8_filter_0(sK2,sK5))
| ~ l3_lattices(k8_filter_0(sK2,sK5))
| ~ m1_filter_2(sK5,sK2)
| sP0(sK5,sK2,k8_filter_0(sK2,sK5))
| ~ spl10_30 ),
inference(resolution,[],[f4176,f3606]) ).
fof(f4651,plain,
( ~ l3_lattices(k8_filter_0(sK2,sK5))
| ~ m1_filter_2(sK5,sK2)
| sP0(sK5,sK2,k8_filter_0(sK2,sK5))
| ~ spl10_30
| spl10_31 ),
inference(forward_subsumption_resolution,[],[f4648,f3610]) ).
fof(f4653,plain,
( ~ m1_filter_2(sK5,sK2)
| sP0(sK5,sK2,k8_filter_0(sK2,sK5))
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(forward_subsumption_resolution,[],[f4651,f3602]) ).
fof(f4655,plain,
( sP0(sK5,sK2,k8_filter_0(sK2,sK5))
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(forward_subsumption_resolution,[],[f4653,f3224]) ).
fof(f4876,plain,
( k8_filter_0(sK2,sK5) = g3_lattices(sK5,sK8(sK5,sK2,k8_filter_0(sK2,sK5)),sK9(sK5,sK2,k8_filter_0(sK2,sK5)))
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(resolution,[],[f4655,f3177]) ).
fof(f4877,plain,
( k1_realset1(u2_lattices(sK2),sK5) = sK8(sK5,sK2,k8_filter_0(sK2,sK5))
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(resolution,[],[f4655,f3179]) ).
fof(f4878,plain,
( k1_realset1(u1_lattices(sK2),sK5) = sK9(sK5,sK2,k8_filter_0(sK2,sK5))
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(resolution,[],[f4655,f3178]) ).
fof(f4879,plain,
( k8_filter_0(sK2,sK5) = g3_lattices(sK5,sK8(sK5,sK2,k8_filter_0(sK2,sK5)),k1_realset1(u1_lattices(sK2),sK5))
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(forward_demodulation,[],[f4876,f4878]) ).
fof(f4880,plain,
( k8_filter_0(sK2,sK5) = g3_lattices(sK5,k1_realset1(u2_lattices(sK2),sK5),k1_realset1(u1_lattices(sK2),sK5))
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(forward_demodulation,[],[f4879,f4877]) ).
fof(f5255,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),k1_realset1(u1_lattices(sK3),X0))
| ~ m1_filter_2(X0,sK3)
| ~ m1_filter_0(X0,sK3)
| v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(superposition,[],[f4546,f3216]) ).
fof(f5256,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),k1_realset1(u1_lattices(sK3),X0))
| ~ m1_filter_2(X0,sK3)
| v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f5255,f3144]) ).
fof(f5258,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),k1_realset1(u1_lattices(sK3),X0))
| ~ m1_filter_2(X0,sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f5256,f3128]) ).
fof(f5260,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),k1_realset1(u1_lattices(sK3),X0))
| ~ m1_filter_2(X0,sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f5258,f3127]) ).
fof(f5262,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),k1_realset1(u1_lattices(sK3),X0))
| ~ m1_filter_2(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f5260,f3126]) ).
fof(f5264,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,u2_lattices(k8_filter_0(sK3,X0)),k1_realset1(u1_lattices(sK2),X0))
| ~ m1_filter_2(X0,sK3) ),
inference(forward_demodulation,[],[f5262,f3793]) ).
fof(f6518,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),k1_realset1(u1_lattices(sK2),X0))
| ~ m1_filter_2(X0,sK3)
| ~ m1_filter_0(X0,sK3)
| v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(superposition,[],[f5264,f3217]) ).
fof(f6519,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),k1_realset1(u1_lattices(sK2),X0))
| ~ m1_filter_2(X0,sK3)
| v3_struct_0(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f6518,f3144]) ).
fof(f6520,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),k1_realset1(u1_lattices(sK2),X0))
| ~ m1_filter_2(X0,sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f6519,f3128]) ).
fof(f6521,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),k1_realset1(u1_lattices(sK2),X0))
| ~ m1_filter_2(X0,sK3)
| ~ l3_lattices(sK3) ),
inference(forward_subsumption_resolution,[],[f6520,f3127]) ).
fof(f6522,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),k1_realset1(u1_lattices(sK2),X0))
| ~ m1_filter_2(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f6521,f3126]) ).
fof(f6523,plain,
! [X0] :
( k8_filter_0(sK3,X0) = g3_lattices(X0,k1_realset1(u2_lattices(sK2),X0),k1_realset1(u1_lattices(sK2),X0))
| ~ m1_filter_2(X0,sK3) ),
inference(forward_demodulation,[],[f6522,f3841]) ).
fof(f6761,plain,
( k8_filter_0(sK3,sK5) = k8_filter_0(sK2,sK5)
| ~ m1_filter_2(sK5,sK3)
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(superposition,[],[f6523,f4880]) ).
fof(f6764,plain,
( ~ m1_filter_2(sK5,sK3)
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(forward_subsumption_resolution,[],[f6761,f3223]) ).
fof(f6767,plain,
( $false
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(forward_subsumption_resolution,[],[f6764,f3130]) ).
fof(f6768,plain,
( ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(avatar_contradiction_clause,[],[f6767]) ).
cnf(s25,plain,
spl10_29,
inference(sat_conversion,[],[f3656]) ).
cnf(s28,plain,
spl10_30,
inference(sat_conversion,[],[f3692]) ).
cnf(s34,plain,
~ spl10_31,
inference(sat_conversion,[],[f3768]) ).
cnf(s148,plain,
( ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(sat_conversion,[],[f6768]) ).
cnf(s199,plain,
~ spl10_29,
inference(rat,[],[s148,s34,s28]) ).
cnf(s200,plain,
$false,
inference(rat,[],[s25,s199]) ).
fof(f6769,plain,
$false,
inference(avatar_sat_refutation,[],[s200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT331+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:48:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.72/1.78 % (3637884)Detected formulas, will run a generic FOF schedule.
% 4.72/1.78 % (3637893)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2924202448:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.72/1.78 % (3637892)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2497723456:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.72/1.78 % (3637890)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=412572069:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.72/1.78 % (3637889)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=3657862464:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.72/1.78 % (3637895)dis-21_1_sil=8000:lcm=predicate:random_seed=353923581:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.72/1.78 % (3637891)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=800809627:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.72/1.78 % (3637893)Instruction limit reached!
% 4.72/1.78 % (3637893)------------------------------
% 4.72/1.78 % (3637893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637893)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637893)Termination reason: Instruction limit
% 4.72/1.78 % (3637893)Termination phase: Saturation
% 4.72/1.78 % (3637893)Time elapsed: 0.045 s
% 4.72/1.78 % (3637893)Peak memory usage: 93 MB
% 4.72/1.78 % (3637893)Instructions burned: 121 (million)
% 4.72/1.78 % (3637894)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1870471397:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.72/1.78 % (3637892)Instruction limit reached!
% 4.72/1.78 % (3637892)------------------------------
% 4.72/1.78 % (3637892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637892)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637892)Termination reason: Instruction limit
% 4.72/1.78 % (3637892)Termination phase: Saturation
% 4.72/1.78 % (3637892)Time elapsed: 0.068 s
% 4.72/1.78 % (3637892)Peak memory usage: 92 MB
% 4.72/1.78 % (3637892)Instructions burned: 110 (million)
% 4.72/1.78 % (3637895)Instruction limit reached!
% 4.72/1.78 % (3637895)------------------------------
% 4.72/1.78 % (3637895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637895)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637895)Termination reason: Instruction limit
% 4.72/1.78 % (3637895)Termination phase: Property scanning
% 4.72/1.78 % (3637895)Time elapsed: 0.080 s
% 4.72/1.78 % (3637895)Peak memory usage: 92 MB
% 4.72/1.78 % (3637895)Instructions burned: 129 (million)
% 4.72/1.78 % (3637894)Instruction limit reached!
% 4.72/1.78 % (3637894)------------------------------
% 4.72/1.78 % (3637894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637894)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637894)Termination reason: Instruction limit
% 4.72/1.78 % (3637894)Termination phase: Clausification
% 4.72/1.78 % (3637894)Time elapsed: 0.087 s
% 4.72/1.78 % (3637894)Peak memory usage: 94 MB
% 4.72/1.78 % (3637894)Instructions burned: 139 (million)
% 4.72/1.78 % (3637903)lrs+10_1_sil=8000:sp=occurrence:random_seed=1250293969:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.72/1.78 % (3637904)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3586416607:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.72/1.78 % (3637903)Instruction limit reached!
% 4.72/1.78 % (3637903)------------------------------
% 4.72/1.78 % (3637903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637903)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637903)Termination reason: Instruction limit
% 4.72/1.78 % (3637903)Termination phase: Saturation
% 4.72/1.78 % (3637903)Time elapsed: 0.096 s
% 4.72/1.78 % (3637903)Peak memory usage: 95 MB
% 4.72/1.78 % (3637903)Instructions burned: 286 (million)
% 4.72/1.78 % (3637905)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2898197063:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.72/1.78 % (3637906)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=3499538202:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.72/1.78 % (3637904)Instruction limit reached!
% 4.72/1.78 % (3637904)------------------------------
% 4.72/1.78 % (3637904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637904)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637904)Termination reason: Instruction limit
% 4.72/1.78 % (3637904)Termination phase: Saturation
% 4.72/1.78 % (3637904)Time elapsed: 0.085 s
% 4.72/1.78 % (3637904)Peak memory usage: 92 MB
% 4.72/1.78 % (3637904)Instructions burned: 157 (million)
% 4.72/1.78 % (3637909)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2665241909:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.72/1.78 % (3637905)First to succeed.
% 4.72/1.78 % (3637905)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3637884"
% 4.72/1.78 % (3637906)Instruction limit reached!
% 4.72/1.78 % (3637906)------------------------------
% 4.72/1.78 % (3637906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637906)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637906)Termination reason: Instruction limit
% 4.72/1.78 % (3637906)Termination phase: Saturation
% 4.72/1.78 % (3637906)Time elapsed: 0.138 s
% 4.72/1.78 % (3637906)Peak memory usage: 97 MB
% 4.72/1.78 % (3637906)Instructions burned: 248 (million)
% 4.72/1.78 % (3637909)Instruction limit reached!
% 4.72/1.78 % (3637909)------------------------------
% 4.72/1.78 % (3637909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637909)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637909)Termination reason: Instruction limit
% 4.72/1.78 % (3637909)Termination phase: Saturation
% 4.72/1.78 % (3637909)Time elapsed: 0.088 s
% 4.72/1.78 % (3637909)Peak memory usage: 94 MB
% 4.72/1.78 % (3637909)Instructions burned: 298 (million)
% 4.72/1.78 % (3637912)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4099831576:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.72/1.78 % (3637914)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2202805621:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.72/1.78 % (3637915)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=740675668:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 4.72/1.78 % (3637915)Instruction limit reached!
% 4.72/1.78 % (3637915)------------------------------
% 4.72/1.78 % (3637915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637915)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637915)Termination reason: Instruction limit
% 4.72/1.78 % (3637915)Termination phase: Property scanning
% 4.72/1.78 % (3637915)Time elapsed: 0.043 s
% 4.72/1.78 % (3637915)Peak memory usage: 94 MB
% 4.72/1.78 % (3637915)Instructions burned: 132 (million)
% 4.72/1.78 % (3637914)Instruction limit reached!
% 4.72/1.78 % (3637914)------------------------------
% 4.72/1.78 % (3637914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.78 % (3637914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.78 % (3637914)CaDiCaL version: 2.1.3
% 4.72/1.78 % (3637914)Termination reason: Instruction limit
% 4.72/1.78 % (3637914)Termination phase: Saturation
% 4.72/1.78 % (3637914)Time elapsed: 0.065 s
% 4.72/1.78 % (3637914)Peak memory usage: 93 MB
% 4.72/1.78 % (3637914)Instructions burned: 114 (million)
% 4.72/1.78 % (3637905)Refutation found. Thanks to Tanya!
% 4.72/1.78 % SZS status Theorem for theBenchmark
% 4.72/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 6.45/1.98 % (3637905)------------------------------
% 6.45/1.98 % (3637905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.98 % (3637905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.98 % (3637905)CaDiCaL version: 2.1.3
% 6.45/1.98 % (3637905)Termination reason: Refutation
% 6.45/1.98 % (3637905)Time elapsed: 0.143 s
% 6.45/1.98 % (3637905)Peak memory usage: 95 MB
% 6.45/1.98 % (3637905)Instructions burned: 209 (million)
% 6.45/1.98 % (3637905)------------------------------
% 6.45/1.98 % (3637905)------------------------------
% 6.45/1.98 % (3637884)Success in time 0.925 s
% 6.45/1.98 % Vampire exiting
%------------------------------------------------------------------------------