TSTP Solution File: LAT315+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT315+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:33:10 EDT 2023
% Result : Theorem 22.69s 5.88s
% Output : Refutation 22.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 38
% Syntax : Number of formulae : 398 ( 82 unt; 0 def)
% Number of atoms : 1324 ( 222 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1499 ( 573 ~; 709 |; 162 &)
% ( 11 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 8 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 350 (; 331 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61885,plain,
$false,
inference(avatar_sat_refutation,[],[f1000,f3635,f3706,f3724,f3909,f3919,f61852,f61882]) ).
fof(f61882,plain,
( spl27_2
| ~ spl27_31 ),
inference(avatar_contradiction_clause,[],[f61881]) ).
fof(f61881,plain,
( $false
| spl27_2
| ~ spl27_31 ),
inference(subsumption_resolution,[],[f61880,f1216]) ).
fof(f1216,plain,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(subsumption_resolution,[],[f1213,f292]) ).
fof(f292,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1)
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f118,f239,f238,f237]) ).
fof(f237,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2))))
| ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),X1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),X1,k19_filter_2(sK0,X2))))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),X1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,X1),X2))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
( ? [X1] :
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),X1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),X1,k19_filter_2(sK0,X2))))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),X1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,X1),X2))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X1) )
=> ( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,X2))))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),X2))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,X2))))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,X2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),X2))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
=> ( ( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2))))
| ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2))))
| ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2))))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2))))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',t49_filter_2) ).
fof(f1213,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(resolution,[],[f1029,f342]) ).
fof(f342,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',fc1_struct_0) ).
fof(f1029,plain,
l1_struct_0(sK0),
inference(resolution,[],[f680,f305]) ).
fof(f305,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_l1_lattices) ).
fof(f680,plain,
l1_lattices(sK0),
inference(resolution,[],[f294,f314]) ).
fof(f314,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_l3_lattices) ).
fof(f294,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f240]) ).
fof(f61880,plain,
( v1_xboole_0(u1_struct_0(sK0))
| spl27_2
| ~ spl27_31 ),
inference(subsumption_resolution,[],[f61876,f40239]) ).
fof(f40239,plain,
m1_subset_1(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f7884,f1844]) ).
fof(f1844,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(subsumption_resolution,[],[f1843,f292]) ).
fof(f1843,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1842,f293]) ).
fof(f293,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f240]) ).
fof(f1842,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1841,f294]) ).
fof(f1841,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f564,f360]) ).
fof(f360,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_m2_lattice4) ).
fof(f564,plain,
! [X3] :
( m2_lattice4(X3,sK0)
| ~ m2_filter_2(X3,sK0) ),
inference(subsumption_resolution,[],[f563,f293]) ).
fof(f563,plain,
! [X3] :
( m2_lattice4(X3,sK0)
| ~ m2_filter_2(X3,sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f495,f294]) ).
fof(f495,plain,
! [X3] :
( m2_lattice4(X3,sK0)
| ~ m2_filter_2(X3,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f292,f357]) ).
fof(f357,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_m2_filter_2) ).
fof(f7884,plain,
m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0),
inference(subsumption_resolution,[],[f7883,f292]) ).
fof(f7883,plain,
( m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f7882,f293]) ).
fof(f7882,plain,
( m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f7881,f294]) ).
fof(f7881,plain,
( m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f7800,f757]) ).
fof(f757,plain,
! [X25] : ~ v1_xboole_0(k2_xboole_0(sK1,X25)),
inference(resolution,[],[f295,f388]) ).
fof(f388,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X0,X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X0,X1))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',fc2_xboole_0) ).
fof(f295,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f240]) ).
fof(f7800,plain,
( m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0)
| v1_xboole_0(k2_xboole_0(sK1,sK2))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f2978,f395]) ).
fof(f395,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_k19_filter_2) ).
fof(f2978,plain,
m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK0))),
inference(backward_demodulation,[],[f2906,f2960]) ).
fof(f2960,plain,
k4_subset_1(u1_struct_0(sK0),sK1,sK2) = k2_xboole_0(sK1,sK2),
inference(resolution,[],[f830,f298]) ).
fof(f298,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f240]) ).
fof(f830,plain,
! [X19] :
( ~ m1_subset_1(X19,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),sK1,X19) = k2_xboole_0(sK1,X19) ),
inference(resolution,[],[f296,f424]) ).
fof(f424,plain,
! [X2,X0,X1] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',redefinition_k4_subset_1) ).
fof(f296,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f240]) ).
fof(f2906,plain,
m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK1,sK2),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f828,f298]) ).
fof(f828,plain,
! [X17] :
( ~ m1_subset_1(X17,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK1,X17),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f296,f423]) ).
fof(f423,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_k4_subset_1) ).
fof(f61876,plain,
( ~ m1_subset_1(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| spl27_2
| ~ spl27_31 ),
inference(resolution,[],[f61866,f460]) ).
fof(f460,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f459]) ).
fof(f459,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f415]) ).
fof(f415,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',redefinition_r1_filter_2) ).
fof(f61866,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| spl27_2
| ~ spl27_31 ),
inference(forward_demodulation,[],[f61865,f2960]) ).
fof(f61865,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| spl27_2
| ~ spl27_31 ),
inference(forward_demodulation,[],[f61864,f60402]) ).
fof(f60402,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_31 ),
inference(forward_demodulation,[],[f60401,f24785]) ).
fof(f24785,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_31 ),
inference(forward_demodulation,[],[f24784,f16988]) ).
fof(f16988,plain,
k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)),
inference(forward_demodulation,[],[f16987,f14093]) ).
fof(f14093,plain,
k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)),
inference(forward_demodulation,[],[f14092,f13785]) ).
fof(f13785,plain,
k2_xboole_0(sK1,sK2) = k8_filter_2(sK0,k2_xboole_0(sK1,sK2)),
inference(resolution,[],[f13065,f2978]) ).
fof(f13065,plain,
! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(sK0)))
| k8_filter_2(sK0,X8) = X8 ),
inference(backward_demodulation,[],[f574,f13046]) ).
fof(f13046,plain,
u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0)),
inference(trivial_inequality_removal,[],[f13041]) ).
fof(f13041,plain,
( k1_lattice2(sK0) != k1_lattice2(sK0)
| u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0)) ),
inference(superposition,[],[f2431,f1317]) ).
fof(f1317,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0))),
inference(subsumption_resolution,[],[f1316,f683]) ).
fof(f683,plain,
l3_lattices(k1_lattice2(sK0)),
inference(resolution,[],[f294,f317]) ).
fof(f317,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_k1_lattice2) ).
fof(f1316,plain,
( k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0)))
| ~ l3_lattices(k1_lattice2(sK0)) ),
inference(resolution,[],[f682,f318]) ).
fof(f318,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',abstractness_v3_lattices) ).
fof(f682,plain,
v3_lattices(k1_lattice2(sK0)),
inference(resolution,[],[f294,f316]) ).
fof(f316,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f2431,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 ),
inference(subsumption_resolution,[],[f2430,f1030]) ).
fof(f1030,plain,
v1_funct_1(u1_lattices(sK0)),
inference(resolution,[],[f680,f307]) ).
fof(f307,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_u1_lattices) ).
fof(f2430,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(subsumption_resolution,[],[f2429,f1031]) ).
fof(f1031,plain,
v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f680,f308]) ).
fof(f308,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,[],[f122]) ).
fof(f2429,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(subsumption_resolution,[],[f2428,f1039]) ).
fof(f1039,plain,
m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(forward_literal_rewriting,[],[f1032,f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,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,[],[f88]) ).
fof(f88,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',redefinition_m2_relset_1) ).
fof(f1032,plain,
m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f680,f309]) ).
fof(f309,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,[],[f122]) ).
fof(f2428,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(subsumption_resolution,[],[f2427,f1043]) ).
fof(f1043,plain,
v1_funct_1(u2_lattices(sK0)),
inference(resolution,[],[f681,f310]) ).
fof(f310,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_u2_lattices) ).
fof(f681,plain,
l2_lattices(sK0),
inference(resolution,[],[f294,f315]) ).
fof(f315,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f2427,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(subsumption_resolution,[],[f2426,f1044]) ).
fof(f1044,plain,
v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f681,f311]) ).
fof(f311,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,[],[f123]) ).
fof(f2426,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(subsumption_resolution,[],[f2420,f1052]) ).
fof(f1052,plain,
m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(forward_literal_rewriting,[],[f1045,f426]) ).
fof(f1045,plain,
m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f681,f312]) ).
fof(f312,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,[],[f123]) ).
fof(f2420,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(superposition,[],[f418,f679]) ).
fof(f679,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0)),
inference(resolution,[],[f294,f313]) ).
fof(f313,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',d2_lattice2) ).
fof(f418,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',free_g3_lattices) ).
fof(f574,plain,
! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| k8_filter_2(sK0,X8) = X8 ),
inference(subsumption_resolution,[],[f573,f293]) ).
fof(f573,plain,
! [X8] :
( k8_filter_2(sK0,X8) = X8
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f500,f294]) ).
fof(f500,plain,
! [X8] :
( k8_filter_2(sK0,X8) = X8
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f292,f362]) ).
fof(f362,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
=> k8_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',d7_filter_2) ).
fof(f14092,plain,
k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k8_filter_2(sK0,k2_xboole_0(sK1,sK2))),
inference(subsumption_resolution,[],[f14062,f757]) ).
fof(f14062,plain,
( k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k8_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| v1_xboole_0(k2_xboole_0(sK1,sK2)) ),
inference(resolution,[],[f13070,f2978]) ).
fof(f13070,plain,
! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_2(k1_lattice2(sK0),X7) = k19_filter_2(sK0,k8_filter_2(sK0,X7))
| v1_xboole_0(X7) ),
inference(backward_demodulation,[],[f873,f13046]) ).
fof(f873,plain,
! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| k3_filter_2(k1_lattice2(sK0),X7) = k19_filter_2(sK0,k8_filter_2(sK0,X7))
| v1_xboole_0(X7) ),
inference(subsumption_resolution,[],[f872,f292]) ).
fof(f872,plain,
! [X7] :
( k3_filter_2(k1_lattice2(sK0),X7) = k19_filter_2(sK0,k8_filter_2(sK0,X7))
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X7)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f871,f293]) ).
fof(f871,plain,
! [X7] :
( k3_filter_2(k1_lattice2(sK0),X7) = k19_filter_2(sK0,k8_filter_2(sK0,X7))
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X7)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f870,f294]) ).
fof(f870,plain,
! [X7] :
( k3_filter_2(k1_lattice2(sK0),X7) = k19_filter_2(sK0,k8_filter_2(sK0,X7))
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X7)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f812,f295]) ).
fof(f812,plain,
! [X7] :
( k3_filter_2(k1_lattice2(sK0),X7) = k19_filter_2(sK0,k8_filter_2(sK0,X7))
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X7)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f296,f368]) ).
fof(f368,plain,
! [X2,X0,X1] :
( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
& ~ v1_xboole_0(X2) )
=> ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',t37_filter_2) ).
fof(f16987,plain,
k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)),
inference(subsumption_resolution,[],[f16957,f757]) ).
fof(f16957,plain,
( k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2))
| v1_xboole_0(k2_xboole_0(sK1,sK2)) ),
inference(resolution,[],[f13086,f2978]) ).
fof(f13086,plain,
! [X27] :
( ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_0(k1_lattice2(sK0),X27) = k3_filter_2(k1_lattice2(sK0),X27)
| v1_xboole_0(X27) ),
inference(backward_demodulation,[],[f1196,f13046]) ).
fof(f1196,plain,
! [X27] :
( k3_filter_0(k1_lattice2(sK0),X27) = k3_filter_2(k1_lattice2(sK0),X27)
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X27) ),
inference(subsumption_resolution,[],[f1195,f556]) ).
fof(f556,plain,
v10_lattices(k1_lattice2(sK0)),
inference(subsumption_resolution,[],[f555,f293]) ).
fof(f555,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f491,f294]) ).
fof(f491,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f292,f353]) ).
fof(f353,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',fc6_lattice2) ).
fof(f1195,plain,
! [X27] :
( k3_filter_0(k1_lattice2(sK0),X27) = k3_filter_2(k1_lattice2(sK0),X27)
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X27)
| ~ v10_lattices(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f1115,f683]) ).
fof(f1115,plain,
! [X27] :
( k3_filter_0(k1_lattice2(sK0),X27) = k3_filter_2(k1_lattice2(sK0),X27)
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X27)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0)) ),
inference(resolution,[],[f542,f397]) ).
fof(f397,plain,
! [X0,X1] :
( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k3_filter_0(X0,X1) = k3_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',redefinition_k3_filter_2) ).
fof(f542,plain,
~ v3_struct_0(k1_lattice2(sK0)),
inference(subsumption_resolution,[],[f541,f293]) ).
fof(f541,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f483,f294]) ).
fof(f483,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f292,f345]) ).
fof(f345,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f24784,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_31 ),
inference(forward_demodulation,[],[f24783,f3018]) ).
fof(f3018,plain,
k4_subset_1(u1_struct_0(sK0),sK2,sK1) = k2_xboole_0(sK1,sK2),
inference(forward_demodulation,[],[f2998,f386]) ).
fof(f386,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',commutativity_k2_xboole_0) ).
fof(f2998,plain,
k4_subset_1(u1_struct_0(sK0),sK2,sK1) = k2_xboole_0(sK2,sK1),
inference(resolution,[],[f831,f298]) ).
fof(f831,plain,
! [X20] :
( ~ m1_subset_1(X20,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X20,sK1) = k2_xboole_0(X20,sK1) ),
inference(resolution,[],[f296,f424]) ).
fof(f24783,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,sK1)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_31 ),
inference(forward_demodulation,[],[f24782,f12378]) ).
fof(f12378,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1) = k2_xboole_0(sK1,k19_filter_2(sK0,sK2)),
inference(forward_demodulation,[],[f12363,f386]) ).
fof(f12363,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1) = k2_xboole_0(k19_filter_2(sK0,sK2),sK1),
inference(resolution,[],[f3007,f1834]) ).
fof(f1834,plain,
m2_lattice4(k19_filter_2(sK0,sK2),sK0),
inference(subsumption_resolution,[],[f1833,f292]) ).
fof(f1833,plain,
( m2_lattice4(k19_filter_2(sK0,sK2),sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1832,f293]) ).
fof(f1832,plain,
( m2_lattice4(k19_filter_2(sK0,sK2),sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1824,f294]) ).
fof(f1824,plain,
( m2_lattice4(k19_filter_2(sK0,sK2),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f978,f357]) ).
fof(f978,plain,
m2_filter_2(k19_filter_2(sK0,sK2),sK0),
inference(subsumption_resolution,[],[f977,f292]) ).
fof(f977,plain,
( m2_filter_2(k19_filter_2(sK0,sK2),sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f976,f293]) ).
fof(f976,plain,
( m2_filter_2(k19_filter_2(sK0,sK2),sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f975,f294]) ).
fof(f975,plain,
( m2_filter_2(k19_filter_2(sK0,sK2),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f914,f297]) ).
fof(f297,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f240]) ).
fof(f914,plain,
( m2_filter_2(k19_filter_2(sK0,sK2),sK0)
| v1_xboole_0(sK2)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f298,f395]) ).
fof(f3007,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k2_xboole_0(X0,sK1) = k4_subset_1(u1_struct_0(sK0),X0,sK1) ),
inference(subsumption_resolution,[],[f3006,f292]) ).
fof(f3006,plain,
! [X0] :
( k2_xboole_0(X0,sK1) = k4_subset_1(u1_struct_0(sK0),X0,sK1)
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f3005,f293]) ).
fof(f3005,plain,
! [X0] :
( k2_xboole_0(X0,sK1) = k4_subset_1(u1_struct_0(sK0),X0,sK1)
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2992,f294]) ).
fof(f2992,plain,
! [X0] :
( k2_xboole_0(X0,sK1) = k4_subset_1(u1_struct_0(sK0),X0,sK1)
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f831,f360]) ).
fof(f24782,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1))
| ~ spl27_31 ),
inference(forward_demodulation,[],[f24781,f3723]) ).
fof(f3723,plain,
( k19_filter_2(sK0,sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ spl27_31 ),
inference(avatar_component_clause,[],[f3722]) ).
fof(f3722,plain,
( spl27_31
<=> k19_filter_2(sK0,sK2) = k3_filter_0(k1_lattice2(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_31])]) ).
fof(f24781,plain,
k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k3_filter_0(k1_lattice2(sK0),sK2),sK1)),
inference(subsumption_resolution,[],[f24732,f297]) ).
fof(f24732,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k3_filter_0(k1_lattice2(sK0),sK2),sK1))
| v1_xboole_0(sK2) ),
inference(resolution,[],[f13497,f298]) ).
fof(f13497,plain,
! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X5,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k3_filter_0(k1_lattice2(sK0),X5),sK1))
| v1_xboole_0(X5) ),
inference(forward_demodulation,[],[f13104,f13046]) ).
fof(f13104,plain,
! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK1))
| v1_xboole_0(X5) ),
inference(backward_demodulation,[],[f2072,f13046]) ).
fof(f2072,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK1))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5) ),
inference(subsumption_resolution,[],[f2071,f542]) ).
fof(f2071,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK1))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2070,f556]) ).
fof(f2070,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK1))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2069,f683]) ).
fof(f2069,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK1))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2000,f295]) ).
fof(f2000,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK1))
| v1_xboole_0(sK1)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(resolution,[],[f901,f363]) ).
fof(f363,plain,
! [X2,X0,X1] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2)))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2)))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2)))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',t47_filter_0) ).
fof(f901,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f900,f839]) ).
fof(f839,plain,
sK1 = k7_filter_2(sK0,sK1),
inference(subsumption_resolution,[],[f838,f292]) ).
fof(f838,plain,
( sK1 = k7_filter_2(sK0,sK1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f837,f293]) ).
fof(f837,plain,
( sK1 = k7_filter_2(sK0,sK1)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f804,f294]) ).
fof(f804,plain,
( sK1 = k7_filter_2(sK0,sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f296,f361]) ).
fof(f361,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',d6_filter_2) ).
fof(f900,plain,
m1_subset_1(k7_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(subsumption_resolution,[],[f899,f292]) ).
fof(f899,plain,
( m1_subset_1(k7_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f898,f293]) ).
fof(f898,plain,
( m1_subset_1(k7_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f818,f294]) ).
fof(f818,plain,
( m1_subset_1(k7_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f296,f401]) ).
fof(f401,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',dt_k7_filter_2) ).
fof(f60401,plain,
k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))),
inference(forward_demodulation,[],[f60400,f60367]) ).
fof(f60367,plain,
k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2))),
inference(forward_demodulation,[],[f60366,f60180]) ).
fof(f60180,plain,
k2_xboole_0(sK1,k19_filter_2(sK0,sK2)) = k7_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))),
inference(resolution,[],[f12338,f572]) ).
fof(f572,plain,
! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(sK0)))
| k7_filter_2(sK0,X7) = X7 ),
inference(subsumption_resolution,[],[f571,f293]) ).
fof(f571,plain,
! [X7] :
( k7_filter_2(sK0,X7) = X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f499,f294]) ).
fof(f499,plain,
! [X7] :
( k7_filter_2(sK0,X7) = X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f292,f361]) ).
fof(f12338,plain,
m1_subset_1(k2_xboole_0(sK1,k19_filter_2(sK0,sK2)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(backward_demodulation,[],[f12238,f12324]) ).
fof(f12324,plain,
k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)) = k2_xboole_0(sK1,k19_filter_2(sK0,sK2)),
inference(resolution,[],[f2969,f1834]) ).
fof(f2969,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k2_xboole_0(sK1,X0) = k4_subset_1(u1_struct_0(sK0),sK1,X0) ),
inference(subsumption_resolution,[],[f2968,f292]) ).
fof(f2968,plain,
! [X0] :
( k2_xboole_0(sK1,X0) = k4_subset_1(u1_struct_0(sK0),sK1,X0)
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2967,f293]) ).
fof(f2967,plain,
! [X0] :
( k2_xboole_0(sK1,X0) = k4_subset_1(u1_struct_0(sK0),sK1,X0)
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2954,f294]) ).
fof(f2954,plain,
! [X0] :
( k2_xboole_0(sK1,X0) = k4_subset_1(u1_struct_0(sK0),sK1,X0)
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f830,f360]) ).
fof(f12238,plain,
m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f2915,f1834]) ).
fof(f2915,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK1,X0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(subsumption_resolution,[],[f2914,f292]) ).
fof(f2914,plain,
! [X0] :
( m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK1,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2913,f293]) ).
fof(f2913,plain,
! [X0] :
( m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK1,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2900,f294]) ).
fof(f2900,plain,
! [X0] :
( m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK1,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f828,f360]) ).
fof(f60366,plain,
k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))) = k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))),
inference(subsumption_resolution,[],[f60204,f757]) ).
fof(f60204,plain,
( k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))) = k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
inference(resolution,[],[f12338,f2037]) ).
fof(f2037,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0)) = k19_filter_2(sK0,X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f2036,f292]) ).
fof(f2036,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0)) = k19_filter_2(sK0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2035,f293]) ).
fof(f2035,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0)) = k19_filter_2(sK0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2034,f294]) ).
fof(f2034,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0)) = k19_filter_2(sK0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1992,f295]) ).
fof(f1992,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0)) = k19_filter_2(sK0,X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f901,f365]) ).
fof(f365,plain,
! [X2,X0,X1] :
( k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f60400,plain,
k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2))),
inference(subsumption_resolution,[],[f60249,f757]) ).
fof(f60249,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
inference(resolution,[],[f12338,f13086]) ).
fof(f61864,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))))
| spl27_2 ),
inference(forward_demodulation,[],[f999,f12324]) ).
fof(f999,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))))
| spl27_2 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f998,plain,
( spl27_2
<=> r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f61852,plain,
( ~ spl27_30
| spl27_37 ),
inference(avatar_contradiction_clause,[],[f61851]) ).
fof(f61851,plain,
( $false
| ~ spl27_30
| spl27_37 ),
inference(subsumption_resolution,[],[f61850,f1216]) ).
fof(f61850,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl27_30
| spl27_37 ),
inference(subsumption_resolution,[],[f61846,f40239]) ).
fof(f61846,plain,
( ~ m1_subset_1(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl27_30
| spl27_37 ),
inference(resolution,[],[f61666,f460]) ).
fof(f61666,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| ~ spl27_30
| spl27_37 ),
inference(backward_demodulation,[],[f3908,f61665]) ).
fof(f61665,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_30 ),
inference(forward_demodulation,[],[f61664,f24995]) ).
fof(f24995,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_30 ),
inference(forward_demodulation,[],[f24994,f16988]) ).
fof(f24994,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_30 ),
inference(forward_demodulation,[],[f24993,f2960]) ).
fof(f24993,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_30 ),
inference(forward_demodulation,[],[f24992,f12635]) ).
fof(f12635,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2) = k2_xboole_0(sK2,k19_filter_2(sK0,sK1)),
inference(forward_demodulation,[],[f12621,f386]) ).
fof(f12621,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2) = k2_xboole_0(k19_filter_2(sK0,sK1),sK2),
inference(resolution,[],[f3134,f1778]) ).
fof(f1778,plain,
m2_lattice4(k19_filter_2(sK0,sK1),sK0),
inference(subsumption_resolution,[],[f1777,f292]) ).
fof(f1777,plain,
( m2_lattice4(k19_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1776,f293]) ).
fof(f1776,plain,
( m2_lattice4(k19_filter_2(sK0,sK1),sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1768,f294]) ).
fof(f1768,plain,
( m2_lattice4(k19_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f887,f357]) ).
fof(f887,plain,
m2_filter_2(k19_filter_2(sK0,sK1),sK0),
inference(subsumption_resolution,[],[f886,f292]) ).
fof(f886,plain,
( m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f885,f293]) ).
fof(f885,plain,
( m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f884,f294]) ).
fof(f884,plain,
( m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f815,f295]) ).
fof(f815,plain,
( m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f296,f395]) ).
fof(f3134,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k2_xboole_0(X0,sK2) = k4_subset_1(u1_struct_0(sK0),X0,sK2) ),
inference(subsumption_resolution,[],[f3133,f292]) ).
fof(f3133,plain,
! [X0] :
( k2_xboole_0(X0,sK2) = k4_subset_1(u1_struct_0(sK0),X0,sK2)
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f3132,f293]) ).
fof(f3132,plain,
! [X0] :
( k2_xboole_0(X0,sK2) = k4_subset_1(u1_struct_0(sK0),X0,sK2)
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f3119,f294]) ).
fof(f3119,plain,
! [X0] :
( k2_xboole_0(X0,sK2) = k4_subset_1(u1_struct_0(sK0),X0,sK2)
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f930,f360]) ).
fof(f930,plain,
! [X20] :
( ~ m1_subset_1(X20,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X20,sK2) = k2_xboole_0(X20,sK2) ),
inference(resolution,[],[f298,f424]) ).
fof(f24992,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))
| ~ spl27_30 ),
inference(forward_demodulation,[],[f24991,f3705]) ).
fof(f3705,plain,
( k19_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| ~ spl27_30 ),
inference(avatar_component_clause,[],[f3704]) ).
fof(f3704,plain,
( spl27_30
<=> k19_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_30])]) ).
fof(f24991,plain,
k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k3_filter_0(k1_lattice2(sK0),sK1),sK2)),
inference(subsumption_resolution,[],[f24946,f295]) ).
fof(f24946,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k3_filter_0(k1_lattice2(sK0),sK1),sK2))
| v1_xboole_0(sK1) ),
inference(resolution,[],[f13512,f296]) ).
fof(f13512,plain,
! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X5,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),k3_filter_0(k1_lattice2(sK0),X5),sK2))
| v1_xboole_0(X5) ),
inference(forward_demodulation,[],[f13121,f13046]) ).
fof(f13121,plain,
! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK2))
| v1_xboole_0(X5) ),
inference(backward_demodulation,[],[f2220,f13046]) ).
fof(f2220,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK2))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5) ),
inference(subsumption_resolution,[],[f2219,f542]) ).
fof(f2219,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK2))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2218,f556]) ).
fof(f2218,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK2))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2217,f683]) ).
fof(f2217,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK2))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2156,f297]) ).
fof(f2156,plain,
! [X5] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X5,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),k3_filter_0(k1_lattice2(sK0),X5),sK2))
| v1_xboole_0(sK2)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(resolution,[],[f992,f363]) ).
fof(f992,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f991,f938]) ).
fof(f938,plain,
sK2 = k7_filter_2(sK0,sK2),
inference(subsumption_resolution,[],[f937,f292]) ).
fof(f937,plain,
( sK2 = k7_filter_2(sK0,sK2)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f936,f293]) ).
fof(f936,plain,
( sK2 = k7_filter_2(sK0,sK2)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f903,f294]) ).
fof(f903,plain,
( sK2 = k7_filter_2(sK0,sK2)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f298,f361]) ).
fof(f991,plain,
m1_subset_1(k7_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(subsumption_resolution,[],[f990,f292]) ).
fof(f990,plain,
( m1_subset_1(k7_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f989,f293]) ).
fof(f989,plain,
( m1_subset_1(k7_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f917,f294]) ).
fof(f917,plain,
( m1_subset_1(k7_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f298,f401]) ).
fof(f61664,plain,
k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))),
inference(forward_demodulation,[],[f61663,f61630]) ).
fof(f61630,plain,
k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))),
inference(forward_demodulation,[],[f61629,f61443]) ).
fof(f61443,plain,
k2_xboole_0(sK2,k19_filter_2(sK0,sK1)) = k7_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))),
inference(resolution,[],[f12535,f572]) ).
fof(f12535,plain,
m1_subset_1(k2_xboole_0(sK2,k19_filter_2(sK0,sK1)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(backward_demodulation,[],[f12435,f12521]) ).
fof(f12521,plain,
k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)) = k2_xboole_0(sK2,k19_filter_2(sK0,sK1)),
inference(resolution,[],[f3102,f1778]) ).
fof(f3102,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k2_xboole_0(sK2,X0) = k4_subset_1(u1_struct_0(sK0),sK2,X0) ),
inference(subsumption_resolution,[],[f3101,f292]) ).
fof(f3101,plain,
! [X0] :
( k2_xboole_0(sK2,X0) = k4_subset_1(u1_struct_0(sK0),sK2,X0)
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f3100,f293]) ).
fof(f3100,plain,
! [X0] :
( k2_xboole_0(sK2,X0) = k4_subset_1(u1_struct_0(sK0),sK2,X0)
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f3087,f294]) ).
fof(f3087,plain,
! [X0] :
( k2_xboole_0(sK2,X0) = k4_subset_1(u1_struct_0(sK0),sK2,X0)
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f929,f360]) ).
fof(f929,plain,
! [X19] :
( ~ m1_subset_1(X19,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),sK2,X19) = k2_xboole_0(sK2,X19) ),
inference(resolution,[],[f298,f424]) ).
fof(f12435,plain,
m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f3046,f1778]) ).
fof(f3046,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK2,X0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(subsumption_resolution,[],[f3045,f292]) ).
fof(f3045,plain,
! [X0] :
( m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK2,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f3044,f293]) ).
fof(f3044,plain,
! [X0] :
( m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK2,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f3031,f294]) ).
fof(f3031,plain,
! [X0] :
( m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK2,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f927,f360]) ).
fof(f927,plain,
! [X17] :
( ~ m1_subset_1(X17,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK2,X17),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f298,f423]) ).
fof(f61629,plain,
k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))),
inference(subsumption_resolution,[],[f61467,f788]) ).
fof(f788,plain,
! [X25] : ~ v1_xboole_0(k2_xboole_0(sK2,X25)),
inference(resolution,[],[f297,f388]) ).
fof(f61467,plain,
( k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
inference(resolution,[],[f12535,f2037]) ).
fof(f61663,plain,
k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))),
inference(subsumption_resolution,[],[f61512,f788]) ).
fof(f61512,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
inference(resolution,[],[f12535,f13086]) ).
fof(f3908,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))))
| spl27_37 ),
inference(avatar_component_clause,[],[f3907]) ).
fof(f3907,plain,
( spl27_37
<=> r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_37])]) ).
fof(f3919,plain,
spl27_36,
inference(avatar_contradiction_clause,[],[f3918]) ).
fof(f3918,plain,
( $false
| spl27_36 ),
inference(subsumption_resolution,[],[f3917,f292]) ).
fof(f3917,plain,
( v3_struct_0(sK0)
| spl27_36 ),
inference(subsumption_resolution,[],[f3916,f293]) ).
fof(f3916,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| spl27_36 ),
inference(subsumption_resolution,[],[f3915,f294]) ).
fof(f3915,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| spl27_36 ),
inference(subsumption_resolution,[],[f3910,f1778]) ).
fof(f3910,plain,
( ~ m2_lattice4(k19_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| spl27_36 ),
inference(resolution,[],[f3905,f360]) ).
fof(f3905,plain,
( ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl27_36 ),
inference(avatar_component_clause,[],[f3904]) ).
fof(f3904,plain,
( spl27_36
<=> m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).
fof(f3909,plain,
( ~ spl27_36
| ~ spl27_37
| spl27_1 ),
inference(avatar_split_clause,[],[f2979,f995,f3907,f3904]) ).
fof(f995,plain,
( spl27_1
<=> r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f2979,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl27_1 ),
inference(backward_demodulation,[],[f1010,f2960]) ).
fof(f1010,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl27_1 ),
inference(forward_demodulation,[],[f1009,f386]) ).
fof(f1009,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(k19_filter_2(sK0,sK1),sK2)))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl27_1 ),
inference(subsumption_resolution,[],[f1005,f298]) ).
fof(f1005,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(k19_filter_2(sK0,sK1),sK2)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl27_1 ),
inference(superposition,[],[f996,f424]) ).
fof(f996,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)))
| spl27_1 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f3724,plain,
( spl27_25
| spl27_31 ),
inference(avatar_split_clause,[],[f2264,f3722,f3593]) ).
fof(f3593,plain,
( spl27_25
<=> ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).
fof(f2264,plain,
! [X4] :
( k19_filter_2(sK0,sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4) ),
inference(backward_demodulation,[],[f959,f2260]) ).
fof(f2260,plain,
k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2),
inference(subsumption_resolution,[],[f2259,f542]) ).
fof(f2259,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2258,f556]) ).
fof(f2258,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2257,f683]) ).
fof(f2257,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2167,f297]) ).
fof(f2167,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| v1_xboole_0(sK2)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(resolution,[],[f992,f397]) ).
fof(f959,plain,
! [X4] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),sK2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4) ),
inference(forward_demodulation,[],[f958,f938]) ).
fof(f958,plain,
! [X4] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK2))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4) ),
inference(subsumption_resolution,[],[f957,f292]) ).
fof(f957,plain,
! [X4] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK2))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f956,f293]) ).
fof(f956,plain,
! [X4] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK2))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f955,f294]) ).
fof(f955,plain,
! [X4] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK2))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f908,f297]) ).
fof(f908,plain,
! [X4] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK2))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| v1_xboole_0(sK2)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f298,f365]) ).
fof(f3706,plain,
( spl27_25
| spl27_30 ),
inference(avatar_split_clause,[],[f2124,f3704,f3593]) ).
fof(f2124,plain,
! [X4] :
( k19_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4) ),
inference(backward_demodulation,[],[f860,f2120]) ).
fof(f2120,plain,
k3_filter_2(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),sK1),
inference(subsumption_resolution,[],[f2119,f542]) ).
fof(f2119,plain,
( k3_filter_2(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2118,f556]) ).
fof(f2118,plain,
( k3_filter_2(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2117,f683]) ).
fof(f2117,plain,
( k3_filter_2(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(subsumption_resolution,[],[f2011,f295]) ).
fof(f2011,plain,
( k3_filter_2(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| v1_xboole_0(sK1)
| ~ l3_lattices(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(resolution,[],[f901,f397]) ).
fof(f860,plain,
! [X4] :
( k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),sK1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4) ),
inference(forward_demodulation,[],[f859,f839]) ).
fof(f859,plain,
! [X4] :
( k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4) ),
inference(subsumption_resolution,[],[f858,f292]) ).
fof(f858,plain,
! [X4] :
( k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f857,f293]) ).
fof(f857,plain,
! [X4] :
( k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f856,f294]) ).
fof(f856,plain,
! [X4] :
( k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f809,f295]) ).
fof(f809,plain,
! [X4] :
( k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X4)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f296,f365]) ).
fof(f3635,plain,
~ spl27_25,
inference(avatar_contradiction_clause,[],[f3634]) ).
fof(f3634,plain,
( $false
| ~ spl27_25 ),
inference(subsumption_resolution,[],[f3633,f542]) ).
fof(f3633,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ spl27_25 ),
inference(subsumption_resolution,[],[f3632,f2130]) ).
fof(f2130,plain,
l1_struct_0(k1_lattice2(sK0)),
inference(resolution,[],[f1319,f305]) ).
fof(f1319,plain,
l1_lattices(k1_lattice2(sK0)),
inference(resolution,[],[f683,f314]) ).
fof(f3632,plain,
( ~ l1_struct_0(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ spl27_25 ),
inference(subsumption_resolution,[],[f3608,f3306]) ).
fof(f3306,plain,
~ v1_xboole_0(sK4(k1_lattice2(sK0))),
inference(subsumption_resolution,[],[f3303,f542]) ).
fof(f3303,plain,
( ~ v1_xboole_0(sK4(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0)) ),
inference(resolution,[],[f2130,f344]) ).
fof(f344,plain,
! [X0] :
( ~ v1_xboole_0(sK4(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f146,f243]) ).
fof(f243,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835',rc5_struct_0) ).
fof(f3608,plain,
( v1_xboole_0(sK4(k1_lattice2(sK0)))
| ~ l1_struct_0(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ spl27_25 ),
inference(resolution,[],[f3594,f343]) ).
fof(f343,plain,
! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f3594,plain,
( ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X5) )
| ~ spl27_25 ),
inference(avatar_component_clause,[],[f3593]) ).
fof(f1000,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f299,f998,f995]) ).
fof(f299,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) ),
inference(cnf_transformation,[],[f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16 % Problem : LAT315+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.08/0.39 % Computer : n024.cluster.edu
% 0.08/0.39 % Model : x86_64 x86_64
% 0.08/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.39 % Memory : 8042.1875MB
% 0.08/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.39 % CPULimit : 300
% 0.08/0.39 % WCLimit : 300
% 0.08/0.39 % DateTime : Thu Aug 24 07:49:54 EDT 2023
% 0.08/0.39 % CPUTime :
% 0.08/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.08/0.40 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835
% 0.08/0.40 % (6982)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.45 % (6988)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.13/0.46 % (6985)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.13/0.47 % (6986)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.13/0.47 % (6984)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.13/0.47 % (6987)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.13/0.48 % (6983)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.13/0.49 % (6989)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 22.69/5.86 % (6987)First to succeed.
% 22.69/5.88 % (6987)Refutation found. Thanks to Tanya!
% 22.69/5.88 % SZS status Theorem for Vampire---4
% 22.69/5.88 % SZS output start Proof for Vampire---4
% See solution above
% 22.69/5.88 % (6987)------------------------------
% 22.69/5.88 % (6987)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 22.69/5.88 % (6987)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 22.69/5.88 % (6987)Termination reason: Refutation
% 22.69/5.88
% 22.69/5.88 % (6987)Memory used [KB]: 53218
% 22.69/5.88 % (6987)Time elapsed: 5.433 s
% 22.69/5.88 % (6987)------------------------------
% 22.69/5.88 % (6987)------------------------------
% 22.69/5.88 % (6982)Success in time 5.458 s
% 22.69/5.89 % Vampire---4.8 exiting
% 22.69/5.89 6988 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.h75BDoq2xg/Vampire---4.8_6835
% 22.69/5.89 % (6988)------------------------------
% 22.69/5.89 % (6988)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 22.69/5.89 % (6988)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 22.69/5.89 % (6988)Termination reason: Unknown
% 22.69/5.89 % (6988)Termination phase: Saturation
% 22.69/5.89
% 22.69/5.89 % (6988)Memory used [KB]: 453510
% 22.69/5.89 % (6988)Time elapsed: 3.862 s
% 22.69/5.89 % (6988)------------------------------
% 22.69/5.89 % (6988)------------------------------
%------------------------------------------------------------------------------