%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT330+1 : 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 : n015.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 11:47:00 AM UTC 2026
% Result : Theorem 3.15s 1.60s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 34
% Syntax : Number of formulae : 322 ( 32 unt; 17 def)
% Number of atoms : 1480 ( 11 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2067 ( 909 ~; 979 |; 114 &)
% ( 30 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 18 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 339 ( 0 sgn 327 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v13_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v13_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f7,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_filter_2) ).
fof(f9,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f17,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f19,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f46,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f47,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_filter_2) ).
fof(f48,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f51,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,k5_lattices(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lattices) ).
fof(f53,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f54,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f58,plain,
! [X0] :
( l3_lattices(X0)
=> l1_lattices(X0) ),
inference(pure_predicate_removal,[],[f17]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
& v13_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
& v13_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f68,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f67]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f32]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f80,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f84,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f83]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f93]) ).
fof(f97,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f98,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f103,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f104,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
| ~ m1_subset_1(X3,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f114,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
& v13_lattices(sK0)
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f60]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2) )
& ( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f66]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(nnf_transformation,[],[f74]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& X0 = X4
& r3_lattices(X1,X4,X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(rectify,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ( m1_subset_1(sK3(X0,X1,X2),u1_struct_0(X1))
& sK3(X0,X1,X2) = X0
& r3_lattices(X1,sK3(X0,X1,X2),X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X1,X2))],[f121]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ 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,[],[f113]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ 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(flattening,[],[f132]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ 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(rectify,[],[f133]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ( ( ~ r2_hidden(sK12(X0,X1,X2),X2)
| ~ r2_hidden(sK12(X0,X1,X2),X1) )
& ( r2_hidden(sK12(X0,X1,X2),X2)
| r2_hidden(sK12(X0,X1,X2),X1) )
& m1_subset_1(sK12(X0,X1,X2),X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X3,sK12(X0,X1,X2))],[f134]) ).
fof(f136,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f137,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f138,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f139,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f114]) ).
fof(f140,plain,
v13_lattices(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f141,plain,
~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),
inference(cnf_transformation,[],[f114]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| r2_hidden(X3,k22_filter_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f145,plain,
! [X0,X1] :
( r3_lattices(X0,k5_lattices(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f146,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| r2_hidden(X1,k18_filter_2(X0,X2)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f148,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f153,plain,
! [X2,X0,X1] :
( r3_lattices(X1,sK3(X0,X1,X2),X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f154,plain,
! [X2,X0,X1] :
( sK3(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f158,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f159,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f160,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f162,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f170,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f174,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f175,plain,
! [X0] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f177,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f182,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f185,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f186,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f198,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| m1_subset_1(sK12(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f199,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| r2_hidden(sK12(X0,X1,X2),X2)
| r2_hidden(sK12(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK12(X0,X1,X2),X2)
| r1_filter_2(X0,X1,X2)
| ~ r2_hidden(sK12(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f201,plain,
! [X2,X3,X1] :
( ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| r2_hidden(X3,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(equality_resolution,[],[f156]) ).
fof(f236,plain,
( m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f198,f141]) ).
fof(f242,definition,
( spl13_1
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f244,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl13_2
<=> m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f247,plain,
( m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl13_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl13_3
<=> m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f251,plain,
( m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f252,plain,
( ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl13_3 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl13_4
<=> m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f256,plain,
( m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f236,f254,f250,f246,f242]) ).
fof(f258,plain,
( ~ m2_lattice4(k18_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_2 ),
inference(resolution,[],[f248,f158]) ).
fof(f260,plain,
( ~ m2_lattice4(k18_filter_2(sK0,sK1),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f258,f138]) ).
fof(f261,plain,
( ~ m2_lattice4(k18_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f260,f137]) ).
fof(f262,plain,
( ~ m2_lattice4(k18_filter_2(sK0,sK1),sK0)
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f261,f136]) ).
fof(f263,plain,
( ~ m2_filter_2(k18_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_2 ),
inference(resolution,[],[f262,f170]) ).
fof(f264,plain,
( ~ m2_filter_2(k18_filter_2(sK0,sK1),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f263,f138]) ).
fof(f265,plain,
( ~ m2_filter_2(k18_filter_2(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f264,f137]) ).
fof(f266,plain,
( ~ m2_filter_2(k18_filter_2(sK0,sK1),sK0)
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f265,f136]) ).
fof(f267,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_2 ),
inference(resolution,[],[f266,f162]) ).
fof(f268,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f267,f138]) ).
fof(f269,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f268,f137]) ).
fof(f270,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f269,f136]) ).
fof(f271,plain,
( $false
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f270,f139]) ).
fof(f272,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f273,plain,
! [X2,X0,X1] :
( r3_lattices(X1,X0,X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(superposition,[],[f153,f154]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f277,plain,
( ~ m2_lattice4(k22_filter_2(sK0,k5_lattices(sK0),sK1),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_3 ),
inference(resolution,[],[f252,f158]) ).
fof(f279,plain,
( ~ m2_lattice4(k22_filter_2(sK0,k5_lattices(sK0),sK1),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f277,f138]) ).
fof(f280,plain,
( ~ m2_lattice4(k22_filter_2(sK0,k5_lattices(sK0),sK1),sK0)
| ~ l3_lattices(sK0)
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f279,f137]) ).
fof(f281,plain,
( ~ m2_lattice4(k22_filter_2(sK0,k5_lattices(sK0),sK1),sK0)
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f280,f136]) ).
fof(f282,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_3 ),
inference(resolution,[],[f281,f160]) ).
fof(f285,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f282,f138]) ).
fof(f287,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f285,f137]) ).
fof(f289,plain,
( ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f287,f136]) ).
fof(f290,plain,
( ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f289,f139]) ).
fof(f291,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(X0,k18_filter_2(sK0,X1)) ),
inference(resolution,[],[f147,f136]) ).
fof(f305,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| r2_hidden(X0,k18_filter_2(sK0,X1)) ),
inference(forward_subsumption_resolution,[],[f291,f138]) ).
fof(f306,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,k18_filter_2(sK0,X1)) ),
inference(forward_subsumption_resolution,[],[f305,f137]) ).
fof(f307,plain,
( v3_struct_0(sK0)
| ~ l1_lattices(sK0)
| spl13_3 ),
inference(resolution,[],[f290,f159]) ).
fof(f309,plain,
( ~ l1_lattices(sK0)
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f307,f138]) ).
fof(f311,plain,
( ~ l3_lattices(sK0)
| spl13_3 ),
inference(resolution,[],[f309,f182]) ).
fof(f312,plain,
( $false
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f311,f136]) ).
fof(f313,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f315,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,X1)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(resolution,[],[f201,f136]) ).
fof(f317,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,X1)
| ~ v10_lattices(sK0)
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f315,f138]) ).
fof(f318,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f317,f137]) ).
fof(f335,definition,
( spl13_8
<=> ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f336,plain,
( ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f338,definition,
( spl13_9
<=> v9_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f339,plain,
( v9_lattices(sK0)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( ~ v9_lattices(sK0)
| spl13_9 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f342,definition,
( spl13_10
<=> v8_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f343,plain,
( v8_lattices(sK0)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( ~ v8_lattices(sK0)
| spl13_10 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f346,definition,
( spl13_11
<=> v6_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f347,plain,
( v6_lattices(sK0)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( ~ v6_lattices(sK0)
| spl13_11 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f357,definition,
( spl13_13
<=> m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f358,plain,
( m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| spl13_13 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f368,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_9 ),
inference(resolution,[],[f340,f174]) ).
fof(f369,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_9 ),
inference(forward_subsumption_resolution,[],[f368,f138]) ).
fof(f370,plain,
( ~ l3_lattices(sK0)
| spl13_9 ),
inference(forward_subsumption_resolution,[],[f369,f137]) ).
fof(f371,plain,
( $false
| spl13_9 ),
inference(forward_subsumption_resolution,[],[f370,f136]) ).
fof(f372,plain,
spl13_9,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f373,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f199,f141]) ).
fof(f378,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f373,f251]) ).
fof(f379,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl13_2
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f378,f247]) ).
fof(f381,definition,
( spl13_15
<=> r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
fof(f382,plain,
( ~ r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| spl13_15 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f383,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,definition,
( spl13_16
<=> r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
fof(f386,plain,
( ~ r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| spl13_16 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f387,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( spl13_1
| spl13_15
| spl13_16
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f379,f250,f246,f385,f381,f242]) ).
fof(f390,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| ~ r2_hidden(sK12(X0,X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(sK12(X0,X1,X2),X2) ),
inference(resolution,[],[f200,f185]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK12(X0,X1,X2),X1)
| 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(X2)
| ~ m1_subset_1(sK12(X0,X1,X2),X2) ),
inference(forward_subsumption_resolution,[],[f390,f183]) ).
fof(f392,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_10 ),
inference(resolution,[],[f344,f175]) ).
fof(f393,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f392,f138]) ).
fof(f394,plain,
( ~ l3_lattices(sK0)
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f393,f137]) ).
fof(f395,plain,
( $false
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f394,f136]) ).
fof(f396,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f401,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_11 ),
inference(resolution,[],[f348,f177]) ).
fof(f402,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f401,f138]) ).
fof(f403,plain,
( ~ l3_lattices(sK0)
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f402,f137]) ).
fof(f404,plain,
( $false
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f403,f136]) ).
fof(f405,plain,
spl13_11,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X1,X2)
| ~ r3_lattices(sK0,X0,X2)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(X1,k22_filter_2(sK0,X0,X2)) ),
inference(resolution,[],[f144,f136]) ).
fof(f410,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl13_1 ),
inference(resolution,[],[f244,f183]) ).
fof(f415,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k18_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f318,f146]) ).
fof(f416,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k18_filter_2(sK0,X1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f415]) ).
fof(f423,plain,
( $false
| ~ spl13_8 ),
inference(resolution,[],[f336,f139]) ).
fof(f429,plain,
~ spl13_8,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f432,plain,
! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X1,X2)
| ~ r3_lattices(sK0,X0,X2)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| r2_hidden(X1,k22_filter_2(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f406,f138]) ).
fof(f433,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k18_filter_2(sK0,X1))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f416,f138]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X1,X2)
| ~ r3_lattices(sK0,X0,X2)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X1,k22_filter_2(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f432,f137]) ).
fof(f438,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k18_filter_2(sK0,X1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f433,f137]) ).
fof(f442,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k18_filter_2(sK0,X1))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f438,f136]) ).
fof(f479,plain,
( v3_struct_0(sK0)
| ~ l1_lattices(sK0)
| spl13_13 ),
inference(resolution,[],[f359,f159]) ).
fof(f481,plain,
( ~ l1_lattices(sK0)
| spl13_13 ),
inference(forward_subsumption_resolution,[],[f479,f138]) ).
fof(f482,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,k5_lattices(sK0),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f437,f145]) ).
fof(f483,plain,
! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(resolution,[],[f437,f148]) ).
fof(f488,plain,
! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(duplicate_literal_removal,[],[f483]) ).
fof(f489,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ r3_lattices(sK0,k5_lattices(sK0),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f482]) ).
fof(f492,plain,
! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f488,f138]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f492,f347]) ).
fof(f498,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
| ~ spl13_10
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f495,f343]) ).
fof(f500,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f498,f339]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11 ),
inference(forward_subsumption_resolution,[],[f500,f136]) ).
fof(f503,definition,
( spl13_24
<=> ! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_24])],[avatar_definition]) ).
fof(f504,plain,
( ! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| r2_hidden(X0,k22_filter_2(sK0,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f505,plain,
( spl13_8
| spl13_24
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f501,f346,f342,f338,f503,f335]) ).
fof(f506,plain,
( ~ l3_lattices(sK0)
| spl13_13 ),
inference(resolution,[],[f481,f182]) ).
fof(f507,plain,
( $false
| spl13_13 ),
inference(forward_subsumption_resolution,[],[f506,f136]) ).
fof(f508,plain,
spl13_13,
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f510,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f489,f145]) ).
fof(f512,plain,
( ! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f510,f358]) ).
fof(f514,plain,
( ! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f512,f138]) ).
fof(f516,plain,
( ! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f514,f137]) ).
fof(f518,plain,
( ! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| ~ l3_lattices(sK0) )
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f516,f140]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1)) )
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f518,f136]) ).
fof(f524,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(resolution,[],[f274,f136]) ).
fof(f526,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ v10_lattices(sK0)
| r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f524,f138]) ).
fof(f527,plain,
! [X0,X1] :
( r3_lattices(sK0,X0,X1)
| ~ r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f526,f137]) ).
fof(f689,plain,
( ! [X0,X1] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_24 ),
inference(resolution,[],[f504,f148]) ).
fof(f694,plain,
( ! [X0,X1] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_24 ),
inference(duplicate_literal_removal,[],[f689]) ).
fof(f699,plain,
( ! [X0,X1] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_24 ),
inference(forward_subsumption_resolution,[],[f694,f138]) ).
fof(f703,plain,
( ! [X0,X1] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_11
| ~ spl13_24 ),
inference(forward_subsumption_resolution,[],[f699,f347]) ).
fof(f707,plain,
( ! [X0,X1] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_10
| ~ spl13_11
| ~ spl13_24 ),
inference(forward_subsumption_resolution,[],[f703,f343]) ).
fof(f710,plain,
( ! [X0,X1] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| ~ spl13_24 ),
inference(forward_subsumption_resolution,[],[f707,f339]) ).
fof(f712,plain,
( ! [X0,X1] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| ~ spl13_24 ),
inference(forward_subsumption_resolution,[],[f710,f136]) ).
fof(f715,definition,
( spl13_32
<=> ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,X0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_32])],[avatar_definition]) ).
fof(f716,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,X0,X0)) )
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f717,plain,
( spl13_8
| spl13_32
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| ~ spl13_24 ),
inference(avatar_split_clause,[],[f712,f503,f346,f342,f338,f715,f335]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| ~ r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl13_13 ),
inference(resolution,[],[f519,f527]) ).
fof(f729,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k22_filter_2(sK0,k5_lattices(sK0),X1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl13_13 ),
inference(duplicate_literal_removal,[],[f720]) ).
fof(f887,plain,
( r2_hidden(sK1,k22_filter_2(sK0,sK1,sK1))
| ~ spl13_32 ),
inference(resolution,[],[f716,f139]) ).
fof(f916,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl13_1
| ~ spl13_32 ),
inference(resolution,[],[f887,f410]) ).
fof(f954,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,sK1),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl13_1
| ~ spl13_32 ),
inference(resolution,[],[f916,f158]) ).
fof(f956,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,sK1),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl13_1
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f954,f138]) ).
fof(f957,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ spl13_1
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f956,f137]) ).
fof(f958,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,sK1),sK0)
| ~ spl13_1
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f957,f136]) ).
fof(f960,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_1
| ~ spl13_32 ),
inference(resolution,[],[f958,f160]) ).
fof(f962,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_1
| ~ spl13_32 ),
inference(duplicate_literal_removal,[],[f960]) ).
fof(f964,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_1
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f962,f138]) ).
fof(f966,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_1
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f964,f137]) ).
fof(f968,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_1
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f966,f136]) ).
fof(f969,plain,
( $false
| ~ spl13_1
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f968,f139]) ).
fof(f970,plain,
( ~ spl13_1
| ~ spl13_32 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f1003,plain,
( r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ spl13_15 ),
inference(resolution,[],[f383,f391]) ).
fof(f1005,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),a_2_0_filter_2(sK0,sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ spl13_15 ),
inference(resolution,[],[f383,f442]) ).
fof(f1024,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),a_2_0_filter_2(sK0,sK1))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1005,f139]) ).
fof(f1026,plain,
( ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1003,f141]) ).
fof(f1027,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),a_2_0_filter_2(sK0,sK1))
| ~ spl13_4
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1024,f256]) ).
fof(f1029,plain,
( ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ spl13_3
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1026,f251]) ).
fof(f1030,plain,
( v1_xboole_0(k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ spl13_2
| ~ spl13_3
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1029,f247]) ).
fof(f1032,definition,
( spl13_49
<=> m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_49])],[avatar_definition]) ).
fof(f1036,definition,
( spl13_50
<=> v1_xboole_0(k22_filter_2(sK0,k5_lattices(sK0),sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_50])],[avatar_definition]) ).
fof(f1038,plain,
( v1_xboole_0(k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ spl13_50 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1039,plain,
( ~ spl13_49
| spl13_50
| ~ spl13_2
| ~ spl13_3
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f1030,f381,f250,f246,f1036,f1032]) ).
fof(f1057,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl13_16 ),
inference(resolution,[],[f387,f142]) ).
fof(f1058,plain,
( m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ spl13_16 ),
inference(resolution,[],[f387,f186]) ).
fof(f1069,plain,
( spl13_49
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f1058,f385,f1032]) ).
fof(f1070,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl13_4
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f1057,f256]) ).
fof(f1072,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl13_4
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f1070,f139]) ).
fof(f1074,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl13_4
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f1072,f358]) ).
fof(f1076,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl13_4
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f1074,f138]) ).
fof(f1078,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ l3_lattices(sK0)
| ~ spl13_4
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f1076,f137]) ).
fof(f1080,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| ~ spl13_4
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f1078,f136]) ).
fof(f1083,definition,
( spl13_54
<=> r3_lattices(sK0,k5_lattices(sK0),sK1) ),
introduced(definition,[new_symbols(definition,[spl13_54])],[avatar_definition]) ).
fof(f1085,plain,
( ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
| spl13_54 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1087,definition,
( spl13_55
<=> r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1) ),
introduced(definition,[new_symbols(definition,[spl13_55])],[avatar_definition]) ).
fof(f1089,plain,
( r3_lattices(sK0,sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
| ~ spl13_55 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1090,plain,
( ~ spl13_54
| spl13_55
| ~ spl13_4
| ~ spl13_13
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f1080,f385,f357,f254,f1087,f1083]) ).
fof(f1099,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_54 ),
inference(resolution,[],[f1085,f145]) ).
fof(f1102,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_54 ),
inference(forward_subsumption_resolution,[],[f1099,f139]) ).
fof(f1105,plain,
( ~ v10_lattices(sK0)
| ~ v13_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_54 ),
inference(forward_subsumption_resolution,[],[f1102,f138]) ).
fof(f1109,plain,
( ~ v13_lattices(sK0)
| ~ l3_lattices(sK0)
| spl13_54 ),
inference(forward_subsumption_resolution,[],[f1105,f137]) ).
fof(f1111,plain,
( ~ l3_lattices(sK0)
| spl13_54 ),
inference(forward_subsumption_resolution,[],[f1109,f140]) ).
fof(f1113,plain,
( $false
| spl13_54 ),
inference(forward_subsumption_resolution,[],[f1111,f136]) ).
fof(f1114,plain,
spl13_54,
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1595,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ spl13_4
| ~ spl13_13
| ~ spl13_15 ),
inference(resolution,[],[f729,f1027]) ).
fof(f1602,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ spl13_4
| ~ spl13_13
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1595,f139]) ).
fof(f1604,plain,
( ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| ~ spl13_4
| ~ spl13_13
| ~ spl13_15
| spl13_16 ),
inference(forward_subsumption_resolution,[],[f1602,f386]) ).
fof(f1607,plain,
( $false
| ~ spl13_4
| ~ spl13_13
| ~ spl13_15
| spl13_16 ),
inference(forward_subsumption_resolution,[],[f1604,f256]) ).
fof(f1608,plain,
( ~ spl13_4
| ~ spl13_13
| ~ spl13_15
| spl13_16 ),
inference(avatar_contradiction_clause,[],[f1607]) ).
fof(f1609,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_50 ),
inference(resolution,[],[f1038,f161]) ).
fof(f1612,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_50 ),
inference(forward_subsumption_resolution,[],[f1609,f138]) ).
fof(f1613,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_50 ),
inference(forward_subsumption_resolution,[],[f1612,f137]) ).
fof(f1614,plain,
( ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_50 ),
inference(forward_subsumption_resolution,[],[f1613,f136]) ).
fof(f1615,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl13_13
| ~ spl13_50 ),
inference(forward_subsumption_resolution,[],[f1614,f358]) ).
fof(f1616,plain,
( $false
| ~ spl13_13
| ~ spl13_50 ),
inference(forward_subsumption_resolution,[],[f1615,f139]) ).
fof(f1617,plain,
( ~ spl13_13
| ~ spl13_50 ),
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1642,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ spl13_55 ),
inference(resolution,[],[f1089,f306]) ).
fof(f1643,plain,
( ~ m1_subset_1(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
| r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ spl13_55 ),
inference(forward_subsumption_resolution,[],[f1642,f139]) ).
fof(f1647,plain,
( r2_hidden(sK12(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
| ~ spl13_4
| ~ spl13_55 ),
inference(forward_subsumption_resolution,[],[f1643,f256]) ).
fof(f1651,plain,
( $false
| ~ spl13_4
| spl13_15
| ~ spl13_55 ),
inference(forward_subsumption_resolution,[],[f1647,f382]) ).
fof(f1652,plain,
( ~ spl13_4
| spl13_15
| ~ spl13_55 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
cnf(s1,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3
| spl13_4 ),
inference(sat_conversion,[],[f257]) ).
cnf(s2,plain,
spl13_2,
inference(sat_conversion,[],[f272]) ).
cnf(s4,plain,
spl13_3,
inference(sat_conversion,[],[f313]) ).
cnf(s7,plain,
spl13_9,
inference(sat_conversion,[],[f372]) ).
cnf(s8,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3
| spl13_15
| spl13_16 ),
inference(sat_conversion,[],[f388]) ).
cnf(s9,plain,
spl13_10,
inference(sat_conversion,[],[f396]) ).
cnf(s10,plain,
spl13_11,
inference(sat_conversion,[],[f405]) ).
cnf(s13,plain,
~ spl13_8,
inference(sat_conversion,[],[f429]) ).
cnf(s16,plain,
( spl13_8
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_24 ),
inference(sat_conversion,[],[f505]) ).
cnf(s17,plain,
spl13_13,
inference(sat_conversion,[],[f508]) ).
cnf(s21,plain,
( spl13_8
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| ~ spl13_24
| spl13_32 ),
inference(sat_conversion,[],[f717]) ).
cnf(s31,plain,
( ~ spl13_1
| ~ spl13_32 ),
inference(sat_conversion,[],[f970]) ).
cnf(s34,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_15
| ~ spl13_49
| spl13_50 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s37,plain,
( ~ spl13_16
| spl13_49 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s38,plain,
( ~ spl13_4
| ~ spl13_13
| ~ spl13_16
| ~ spl13_54
| spl13_55 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s43,plain,
spl13_54,
inference(sat_conversion,[],[f1114]) ).
cnf(s61,plain,
( ~ spl13_4
| ~ spl13_13
| ~ spl13_15
| spl13_16 ),
inference(sat_conversion,[],[f1608]) ).
cnf(s63,plain,
( ~ spl13_13
| ~ spl13_50 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s64,plain,
( ~ spl13_4
| spl13_15
| ~ spl13_55 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s66,plain,
( ~ spl13_4
| ~ spl13_13
| ~ spl13_16
| spl13_55 ),
inference(rat,[],[s38,s43]) ).
cnf(s69,plain,
~ spl13_50,
inference(rat,[],[s63,s17]) ).
cnf(s71,plain,
spl13_24,
inference(rat,[],[s16,s9,s10,s13,s7]) ).
cnf(s73,plain,
spl13_32,
inference(rat,[],[s21,s7,s9,s10,s13,s71]) ).
cnf(s76,plain,
~ spl13_1,
inference(rat,[],[s31,s73]) ).
cnf(s79,plain,
spl13_4,
inference(rat,[],[s1,s4,s2,s76]) ).
cnf(s80,plain,
spl13_15,
inference(rat,[],[s66,s8,s64,s17,s79,s76,s4,s2]) ).
cnf(s82,plain,
spl13_16,
inference(rat,[],[s61,s79,s17,s80]) ).
cnf(s83,plain,
~ spl13_49,
inference(rat,[],[s34,s69,s2,s4,s80]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s37,s83,s82]) ).
fof(f1653,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT330+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:44:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.15/1.60 % (1732048)Detected formulas, will run a generic FOF schedule.
% 3.15/1.60 % (1732054)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=267790684:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.15/1.60 % (1732057)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1673971035:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.15/1.60 % (1732053)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=2574721297:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.15/1.60 % (1732055)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=2471745253:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.15/1.60 % (1732059)dis-21_1_sil=8000:lcm=predicate:random_seed=79245372:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.15/1.60 % (1732056)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3521471937:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.15/1.60 % (1732058)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=192514967:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.15/1.60 % (1732056)Refutation not found, incomplete strategy
% 3.15/1.60 % (1732056)------------------------------
% 3.15/1.60 % (1732056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732056)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732056)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.60 % (1732056)Time elapsed: 0.003 s
% 3.15/1.60 % (1732056)Peak memory usage: 88 MB
% 3.15/1.60 % (1732056)Instructions burned: 3 (million)
% 3.15/1.60 % (1732057)Instruction limit reached!
% 3.15/1.60 % (1732057)------------------------------
% 3.15/1.60 % (1732057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732057)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732057)Termination reason: Instruction limit
% 3.15/1.60 % (1732057)Termination phase: Saturation
% 3.15/1.60 % (1732057)Time elapsed: 0.071 s
% 3.15/1.60 % (1732057)Peak memory usage: 88 MB
% 3.15/1.60 % (1732057)Instructions burned: 120 (million)
% 3.15/1.60 % (1732059)Instruction limit reached!
% 3.15/1.60 % (1732059)------------------------------
% 3.15/1.60 % (1732059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732059)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732059)Termination reason: Instruction limit
% 3.15/1.60 % (1732059)Termination phase: Saturation
% 3.15/1.60 % (1732059)Time elapsed: 0.074 s
% 3.15/1.60 % (1732059)Peak memory usage: 91 MB
% 3.15/1.60 % (1732059)Instructions burned: 131 (million)
% 3.15/1.60 % (1732058)Instruction limit reached!
% 3.15/1.60 % (1732058)------------------------------
% 3.15/1.60 % (1732058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732058)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732058)Termination reason: Instruction limit
% 3.15/1.60 % (1732058)Termination phase: Saturation
% 3.15/1.60 % (1732058)Time elapsed: 0.097 s
% 3.15/1.60 % (1732058)Peak memory usage: 90 MB
% 3.15/1.60 % (1732058)Instructions burned: 139 (million)
% 3.15/1.60 % (1732067)lrs+10_1_sil=8000:sp=occurrence:random_seed=1521266631:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.15/1.60 % (1732068)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1046320830:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.15/1.60 % (1732068)Refutation not found, incomplete strategy
% 3.15/1.60 % (1732068)------------------------------
% 3.15/1.60 % (1732068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732068)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732068)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.60 % (1732068)Time elapsed: 0.005 s
% 3.15/1.60 % (1732068)Peak memory usage: 88 MB
% 3.15/1.60 % (1732068)Instructions burned: 5 (million)
% 3.15/1.60 % (1732056)------------------------------
% 3.15/1.60 % (1732056)------------------------------
% 3.15/1.60 % (1732069)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1836626745:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.15/1.60 % (1732069)First to succeed.
% 3.15/1.60 % (1732069)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1732048"
% 3.15/1.60 % (1732067)Instruction limit reached!
% 3.15/1.60 % (1732067)------------------------------
% 3.15/1.60 % (1732067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732067)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732067)Termination reason: Instruction limit
% 3.15/1.60 % (1732067)Termination phase: Saturation
% 3.15/1.60 % (1732067)Time elapsed: 0.176 s
% 3.15/1.60 % (1732067)Peak memory usage: 91 MB
% 3.15/1.60 % (1732067)Instructions burned: 286 (million)
% 3.15/1.60 % (1732072)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=1541422257:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.15/1.60 % (1732068)------------------------------
% 3.15/1.60 % (1732068)------------------------------
% 3.15/1.60 % (1732072)Instruction limit reached!
% 3.15/1.60 % (1732072)------------------------------
% 3.15/1.60 % (1732072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732072)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732072)Termination reason: Instruction limit
% 3.15/1.60 % (1732072)Termination phase: Saturation
% 3.15/1.60 % (1732072)Time elapsed: 0.074 s
% 3.15/1.60 % (1732072)Peak memory usage: 90 MB
% 3.15/1.60 % (1732072)Instructions burned: 251 (million)
% 3.15/1.60 % (1732075)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=836067554:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.15/1.60 % (1732075)Refutation not found, incomplete strategy
% 3.15/1.60 % (1732075)------------------------------
% 3.15/1.60 % (1732075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.60 % (1732075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.60 % (1732075)CaDiCaL version: 2.1.3
% 3.15/1.60 % (1732075)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.60 % (1732075)Time elapsed: 0.006 s
% 3.15/1.60 % (1732075)Peak memory usage: 88 MB
% 3.15/1.60 % (1732075)Instructions burned: 7 (million)
% 3.15/1.60 % (1732069)Refutation found. Thanks to Tanya!
% 3.15/1.60 % SZS status Theorem for theBenchmark
% 3.15/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.80 % (1732069)------------------------------
% 0.15/1.80 % (1732069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.80 % (1732069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.80 % (1732069)CaDiCaL version: 2.1.3
% 0.15/1.80 % (1732069)Termination reason: Refutation
% 0.15/1.80 % (1732069)Time elapsed: 0.058 s
% 0.15/1.80 % (1732069)Peak memory usage: 90 MB
% 0.15/1.80 % (1732069)Instructions burned: 83 (million)
% 0.15/1.80 % (1732069)------------------------------
% 0.15/1.80 % (1732069)------------------------------
% 0.15/1.80 % (1732048)Success in time 0.76 s
% 0.15/1.80 % Vampire exiting
%------------------------------------------------------------------------------