%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT329+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:46:59 AM UTC 2026
% Result : Theorem 6.34s 2.05s
% Output : Refutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 281 ( 34 unt; 21 def)
% Number of atoms : 1349 ( 35 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1857 ( 789 ~; 906 |; 94 &)
% ( 34 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 22 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 241 ( 0 sgn 229 !; 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))
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_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))
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
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/sandbox2/benchmark/theBenchmark.p',d1_filter_2) ).
fof(f8,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_filter_0) ).
fof(f11,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/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f12,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_filter_0(k2_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_filter_0) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f15,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f19,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f22,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/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f32,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f35,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_0(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_0) ).
fof(f43,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f51,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,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_filter_0) ).
fof(f56,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,X1,k6_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_lattices) ).
fof(f59,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/sandbox2/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0)))
& v14_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(f67,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0)))
& v14_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f66]) ).
fof(f73,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(f74,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f74]) ).
fof(f76,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,[],[f11]) ).
fof(f77,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,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f79,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f83,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f86,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f87]) ).
fof(f91,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,[],[f22]) ).
fof(f92,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,[],[f91]) ).
fof(f99,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f100,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f35]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f101]) ).
fof(f108,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f109,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f108]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) )
| ~ 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,[],[f51]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) )
| ~ 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,[],[f122]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f129]) ).
fof(f134,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,[],[f59]) ).
fof(f135,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,[],[f134]) ).
fof(f139,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
& v14_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)],[f67]) ).
fof(f140,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,[],[f73]) ).
fof(f141,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,[],[f140]) ).
fof(f142,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,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ( ( ~ r2_hidden(sK2(X0,X1,X2),X2)
| ~ r2_hidden(sK2(X0,X1,X2),X1) )
& ( r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X1) )
& m1_subset_1(sK2(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,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f142]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(nnf_transformation,[],[f102]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X2,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& X0 = X4
& r3_lattices(X1,X2,X4) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X2,X3) ) )
& ( ( m1_subset_1(sK11(X0,X1,X2),u1_struct_0(X1))
& sK11(X0,X1,X2) = X0
& r3_lattices(X1,X2,sK11(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_filter_0(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,[sK11]),skolemize(X4,sK11(X0,X1,X2))],[f153]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k2_filter_0(X0,X2))
| ~ r3_lattices(X0,X2,X1) )
& ( r3_lattices(X0,X2,X1)
| ~ r2_hidden(X1,k2_filter_0(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,[],[f123]) ).
fof(f168,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,[],[f135]) ).
fof(f169,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,[],[f168]) ).
fof(f170,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f171,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f172,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f173,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f139]) ).
fof(f174,plain,
v14_lattices(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f175,plain,
~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),
inference(cnf_transformation,[],[f139]) ).
fof(f188,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| m1_subset_1(sK2(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,[],[f143]) ).
fof(f189,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(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,[],[f143]) ).
fof(f190,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| ~ r2_hidden(sK2(X0,X1,X2),X2)
| ~ r2_hidden(sK2(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,[],[f143]) ).
fof(f191,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f192,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,[],[f77]) ).
fof(f194,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f196,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f197,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f199,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f201,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f205,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,[],[f92]) ).
fof(f214,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f217,plain,
! [X2,X0,X1] :
( r3_lattices(X1,X2,sK11(X0,X1,X2))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sK11(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f233,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f245,plain,
! [X2,X0,X1] :
( r2_hidden(X1,k2_filter_0(X0,X2))
| ~ r3_lattices(X0,X2,X1)
| ~ 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,[],[f165]) ).
fof(f251,plain,
! [X0,X1] :
( r3_lattices(X0,X1,k6_lattices(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( r3_lattices(X0,X1,X3)
| ~ 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(cnf_transformation,[],[f169]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f169]) ).
fof(f270,definition,
( spl23_1
<=> m1_subset_1(sK1,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f272,plain,
( m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
spl23_1,
inference(avatar_split_clause,[],[f173,f270]) ).
fof(f274,plain,
( k2_filter_0(sK0,sK1) = a_2_0_filter_0(sK0,sK1)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(resolution,[],[f272,f191]) ).
fof(f279,plain,
( m1_filter_0(k2_filter_0(sK0,sK1),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(resolution,[],[f272,f194]) ).
fof(f284,plain,
( k2_filter_2(sK0,sK1) = k2_filter_0(sK0,sK1)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(resolution,[],[f272,f233]) ).
fof(f293,plain,
( r3_lattices(sK0,sK1,k6_lattices(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v14_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(resolution,[],[f272,f251]) ).
fof(f322,plain,
( r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ v10_lattices(sK0)
| ~ v14_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f293,f172]) ).
fof(f331,plain,
( k2_filter_2(sK0,sK1) = k2_filter_0(sK0,sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f284,f172]) ).
fof(f336,plain,
( m1_filter_0(k2_filter_0(sK0,sK1),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f279,f172]) ).
fof(f341,plain,
( k2_filter_0(sK0,sK1) = a_2_0_filter_0(sK0,sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f274,f172]) ).
fof(f354,plain,
( r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ v14_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f322,f171]) ).
fof(f363,plain,
( k2_filter_2(sK0,sK1) = k2_filter_0(sK0,sK1)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f331,f171]) ).
fof(f368,plain,
( m1_filter_0(k2_filter_0(sK0,sK1),sK0)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f336,f171]) ).
fof(f373,plain,
( k2_filter_0(sK0,sK1) = a_2_0_filter_0(sK0,sK1)
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f341,f171]) ).
fof(f386,plain,
( r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ l3_lattices(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f354,f174]) ).
fof(f391,plain,
( k2_filter_2(sK0,sK1) = k2_filter_0(sK0,sK1)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f363,f170]) ).
fof(f396,plain,
( m1_filter_0(k2_filter_0(sK0,sK1),sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f368,f170]) ).
fof(f401,plain,
( k2_filter_0(sK0,sK1) = a_2_0_filter_0(sK0,sK1)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f373,f170]) ).
fof(f402,plain,
( r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f386,f170]) ).
fof(f405,definition,
( spl23_2
<=> r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f407,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| spl23_2 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f408,plain,
~ spl23_2,
inference(avatar_split_clause,[],[f175,f405]) ).
fof(f409,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ spl23_1
| spl23_2 ),
inference(forward_demodulation,[],[f407,f391]) ).
fof(f411,definition,
( spl23_3
<=> v10_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f413,plain,
( v10_lattices(sK0)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
spl23_3,
inference(avatar_split_clause,[],[f171,f411]) ).
fof(f416,definition,
( spl23_4
<=> l3_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f418,plain,
( l3_lattices(sK0)
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
spl23_4,
inference(avatar_split_clause,[],[f170,f416]) ).
fof(f448,plain,
( ! [X0,X1] :
( r2_hidden(X0,k2_filter_0(sK0,X1))
| ~ r3_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_3 ),
inference(resolution,[],[f413,f245]) ).
fof(f449,plain,
( ! [X0] :
( r3_lattices(sK0,X0,k6_lattices(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v14_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_3 ),
inference(resolution,[],[f413,f251]) ).
fof(f458,plain,
( ! [X0] :
( r3_lattices(sK0,X0,k6_lattices(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v14_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f449,f172]) ).
fof(f459,plain,
( ! [X0,X1] :
( r2_hidden(X0,k2_filter_0(sK0,X1))
| ~ r3_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f448,f172]) ).
fof(f492,plain,
( ! [X0] :
( r3_lattices(sK0,X0,k6_lattices(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f458,f174]) ).
fof(f493,plain,
( ! [X0,X1] :
( r2_hidden(X0,k2_filter_0(sK0,X1))
| ~ r3_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_subsumption_resolution,[],[f459,f418]) ).
fof(f522,plain,
( ! [X0] :
( r3_lattices(sK0,X0,k6_lattices(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_subsumption_resolution,[],[f492,f418]) ).
fof(f550,plain,
( l2_lattices(sK0)
| ~ spl23_4 ),
inference(resolution,[],[f418,f199]) ).
fof(f551,plain,
( l1_lattices(sK0)
| ~ spl23_4 ),
inference(resolution,[],[f418,f200]) ).
fof(f592,definition,
( spl23_5
<=> v3_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl23_5])],[avatar_definition]) ).
fof(f594,plain,
( ~ v3_struct_0(sK0)
| spl23_5 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,plain,
~ spl23_5,
inference(avatar_split_clause,[],[f172,f592]) ).
fof(f597,definition,
( spl23_6
<=> r1_filter_2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))) ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f599,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| spl23_6 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f600,plain,
( ~ spl23_6
| ~ spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f409,f405,f270,f597]) ).
fof(f608,plain,
( m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| spl23_6 ),
inference(resolution,[],[f599,f188]) ).
fof(f609,plain,
( r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| spl23_6 ),
inference(resolution,[],[f599,f189]) ).
fof(f610,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| spl23_6 ),
inference(resolution,[],[f599,f190]) ).
fof(f623,plain,
( m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| spl23_5 ),
inference(resolution,[],[f594,f196]) ).
fof(f632,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| spl23_5 ),
inference(resolution,[],[f594,f214]) ).
fof(f654,plain,
( m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ spl23_4
| spl23_5 ),
inference(forward_subsumption_resolution,[],[f623,f550]) ).
fof(f662,definition,
( spl23_9
<=> k2_filter_0(sK0,sK1) = a_2_0_filter_0(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition]) ).
fof(f664,plain,
( k2_filter_0(sK0,sK1) = a_2_0_filter_0(sK0,sK1)
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl23_9
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f401,f270,f662]) ).
fof(f667,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| sK11(X0,sK0,sK1) = X0
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl23_9 ),
inference(superposition,[],[f218,f664]) ).
fof(f671,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| sK11(X0,sK0,sK1) = X0
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| spl23_5
| ~ spl23_9 ),
inference(forward_subsumption_resolution,[],[f667,f594]) ).
fof(f674,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| sK11(X0,sK0,sK1) = X0
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl23_3
| spl23_5
| ~ spl23_9 ),
inference(forward_subsumption_resolution,[],[f671,f413]) ).
fof(f677,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| sK11(X0,sK0,sK1) = X0
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) )
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9 ),
inference(forward_subsumption_resolution,[],[f674,f418]) ).
fof(f680,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| sK11(X0,sK0,sK1) = X0 )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9 ),
inference(forward_subsumption_resolution,[],[f677,f272]) ).
fof(f683,definition,
( spl23_10
<=> r3_lattices(sK0,sK1,k6_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).
fof(f685,plain,
( r3_lattices(sK0,sK1,k6_lattices(sK0))
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f686,plain,
( spl23_10
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f402,f270,f683]) ).
fof(f690,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_10 ),
inference(resolution,[],[f685,f255]) ).
fof(f691,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,k6_lattices(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_10 ),
inference(resolution,[],[f685,f256]) ).
fof(f698,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_3
| ~ spl23_4
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f691,f522]) ).
fof(f699,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f690,f654]) ).
fof(f705,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f698,f654]) ).
fof(f706,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_1
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f699,f272]) ).
fof(f712,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f705,f272]) ).
fof(f713,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_1
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f706,f594]) ).
fof(f719,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f712,f594]) ).
fof(f720,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f713,f413]) ).
fof(f726,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f719,f413]) ).
fof(f727,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f720,f418]) ).
fof(f732,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f726,f418]) ).
fof(f886,definition,
( spl23_18
<=> m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_18])],[avatar_definition]) ).
fof(f888,plain,
( m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f889,plain,
( spl23_18
| ~ spl23_4
| spl23_5 ),
inference(avatar_split_clause,[],[f654,f592,f416,f886]) ).
fof(f998,definition,
( spl23_20
<=> ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| sK11(X0,sK0,sK1) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl23_20])],[avatar_definition]) ).
fof(f999,plain,
( ! [X0] :
( sK11(X0,sK0,sK1) = X0
| ~ r2_hidden(X0,k2_filter_0(sK0,sK1)) )
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1000,plain,
( spl23_20
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9 ),
inference(avatar_split_clause,[],[f680,f662,f592,f416,f411,f270,f998]) ).
fof(f1001,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,a_2_0_filter_0(sK0,sK1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k2_filter_0(sK0,sK1)) )
| ~ spl23_20 ),
inference(superposition,[],[f217,f999]) ).
fof(f1004,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,a_2_0_filter_0(sK0,sK1))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k2_filter_0(sK0,sK1)) )
| spl23_5
| ~ spl23_20 ),
inference(forward_subsumption_resolution,[],[f1001,f594]) ).
fof(f1006,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,a_2_0_filter_0(sK0,sK1))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k2_filter_0(sK0,sK1)) )
| ~ spl23_3
| spl23_5
| ~ spl23_20 ),
inference(forward_subsumption_resolution,[],[f1004,f413]) ).
fof(f1008,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,a_2_0_filter_0(sK0,sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ r2_hidden(X0,k2_filter_0(sK0,sK1)) )
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_20 ),
inference(forward_subsumption_resolution,[],[f1006,f418]) ).
fof(f1010,plain,
( ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,a_2_0_filter_0(sK0,sK1))
| ~ r2_hidden(X0,k2_filter_0(sK0,sK1)) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_20 ),
inference(forward_subsumption_resolution,[],[f1008,f272]) ).
fof(f1013,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k2_filter_0(sK0,sK1)) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9
| ~ spl23_20 ),
inference(forward_demodulation,[],[f1010,f664]) ).
fof(f1014,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| r3_lattices(sK0,sK1,X0) )
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9
| ~ spl23_20 ),
inference(duplicate_literal_removal,[],[f1013]) ).
fof(f1030,definition,
( spl23_22
<=> ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl23_22])],[avatar_definition]) ).
fof(f1031,plain,
( ! [X0] :
( r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl23_22 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1032,plain,
( spl23_22
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f732,f683,f592,f416,f411,f270,f1030]) ).
fof(f1138,definition,
( spl23_30
<=> ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| r3_lattices(sK0,sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_30])],[avatar_definition]) ).
fof(f1139,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK0,sK1))
| r3_lattices(sK0,sK1,X0) )
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1140,plain,
( spl23_30
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f1014,f998,f662,f592,f416,f411,f270,f1138]) ).
fof(f1142,definition,
( spl23_31
<=> l1_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl23_31])],[avatar_definition]) ).
fof(f1144,plain,
( l1_lattices(sK0)
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1145,plain,
( spl23_31
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f551,f416,f1142]) ).
fof(f1146,plain,
( l1_struct_0(sK0)
| ~ spl23_31 ),
inference(resolution,[],[f1144,f197]) ).
fof(f1147,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl23_5
| ~ spl23_31 ),
inference(backward_subsumption_resolution,[],[f632,f1146]) ).
fof(f1154,plain,
( m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl23_5
| spl23_6
| ~ spl23_31 ),
inference(backward_subsumption_resolution,[],[f608,f1147]) ).
fof(f1155,plain,
( r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl23_5
| spl23_6
| ~ spl23_31 ),
inference(backward_subsumption_resolution,[],[f609,f1147]) ).
fof(f1156,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl23_5
| spl23_6
| ~ spl23_31 ),
inference(backward_subsumption_resolution,[],[f610,f1147]) ).
fof(f1613,definition,
( spl23_44
<=> ! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl23_44])],[avatar_definition]) ).
fof(f1614,plain,
( ! [X0] :
( ~ r2_hidden(X0,k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| r3_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl23_44 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1615,plain,
( spl23_44
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f727,f683,f592,f416,f411,f270,f1613]) ).
fof(f1716,definition,
( spl23_51
<=> ! [X0,X1] :
( r2_hidden(X0,k2_filter_0(sK0,X1))
| ~ r3_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl23_51])],[avatar_definition]) ).
fof(f1717,plain,
( ! [X0,X1] :
( r2_hidden(X0,k2_filter_0(sK0,X1))
| ~ r3_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl23_51 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f1718,plain,
( spl23_51
| ~ spl23_3
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f493,f416,f411,f1716]) ).
fof(f2154,definition,
( spl23_71
<=> m1_filter_0(k2_filter_0(sK0,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl23_71])],[avatar_definition]) ).
fof(f2156,plain,
( m1_filter_0(k2_filter_0(sK0,sK1),sK0)
| ~ spl23_71 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f2157,plain,
( spl23_71
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f396,f270,f2154]) ).
fof(f2159,plain,
( m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl23_71 ),
inference(resolution,[],[f2156,f201]) ).
fof(f2161,plain,
( m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl23_5
| ~ spl23_71 ),
inference(forward_subsumption_resolution,[],[f2159,f594]) ).
fof(f2162,plain,
( m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| ~ spl23_3
| spl23_5
| ~ spl23_71 ),
inference(forward_subsumption_resolution,[],[f2161,f413]) ).
fof(f2163,plain,
( m1_subset_1(k2_filter_0(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_71 ),
inference(forward_subsumption_resolution,[],[f2162,f418]) ).
fof(f2164,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71 ),
inference(backward_subsumption_resolution,[],[f1156,f2163]) ).
fof(f2165,plain,
( r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71 ),
inference(backward_subsumption_resolution,[],[f1155,f2163]) ).
fof(f2166,plain,
( m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71 ),
inference(backward_subsumption_resolution,[],[f1154,f2163]) ).
fof(f2169,definition,
( spl23_72
<=> m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl23_72])],[avatar_definition]) ).
fof(f2171,plain,
( ~ m1_subset_1(k22_filter_2(sK0,sK1,k6_lattices(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| spl23_72 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f2177,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,k6_lattices(sK0)),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl23_72 ),
inference(resolution,[],[f2171,f205]) ).
fof(f2183,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,k6_lattices(sK0)),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl23_5
| spl23_72 ),
inference(forward_subsumption_resolution,[],[f2177,f594]) ).
fof(f2185,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,k6_lattices(sK0)),sK0)
| ~ l3_lattices(sK0)
| ~ spl23_3
| spl23_5
| spl23_72 ),
inference(forward_subsumption_resolution,[],[f2183,f413]) ).
fof(f2187,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,k6_lattices(sK0)),sK0)
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_72 ),
inference(forward_subsumption_resolution,[],[f2185,f418]) ).
fof(f2189,definition,
( spl23_74
<=> m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_74])],[avatar_definition]) ).
fof(f2191,plain,
( m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ spl23_74 ),
inference(avatar_component_clause,[],[f2189]) ).
fof(f2192,plain,
( ~ spl23_72
| spl23_74
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71 ),
inference(avatar_split_clause,[],[f2166,f2154,f1142,f597,f592,f416,f411,f2189,f2169]) ).
fof(f2194,definition,
( spl23_75
<=> r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl23_75])],[avatar_definition]) ).
fof(f2195,plain,
( r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| ~ spl23_75 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f2196,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k2_filter_0(sK0,sK1))
| spl23_75 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f2198,definition,
( spl23_76
<=> r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0))) ),
introduced(definition,[new_symbols(definition,[spl23_76])],[avatar_definition]) ).
fof(f2199,plain,
( r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| ~ spl23_76 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f2200,plain,
( ~ r2_hidden(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
| spl23_76 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f2201,plain,
( ~ spl23_72
| ~ spl23_75
| ~ spl23_76
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71 ),
inference(avatar_split_clause,[],[f2164,f2154,f1142,f597,f592,f416,f411,f2198,f2194,f2169]) ).
fof(f2587,definition,
( spl23_85
<=> m2_lattice4(k22_filter_2(sK0,sK1,k6_lattices(sK0)),sK0) ),
introduced(definition,[new_symbols(definition,[spl23_85])],[avatar_definition]) ).
fof(f2589,plain,
( ~ m2_lattice4(k22_filter_2(sK0,sK1,k6_lattices(sK0)),sK0)
| spl23_85 ),
inference(avatar_component_clause,[],[f2587]) ).
fof(f2590,plain,
( ~ spl23_85
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_72 ),
inference(avatar_split_clause,[],[f2187,f2169,f592,f416,f411,f2587]) ).
fof(f2877,plain,
( ~ spl23_72
| spl23_75
| spl23_76
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71 ),
inference(avatar_split_clause,[],[f2165,f2154,f1142,f597,f592,f416,f411,f2198,f2194,f2169]) ).
fof(f2944,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| spl23_85 ),
inference(resolution,[],[f2589,f192]) ).
fof(f2947,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| spl23_5
| spl23_85 ),
inference(forward_subsumption_resolution,[],[f2944,f594]) ).
fof(f2951,plain,
( ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ spl23_3
| spl23_5
| spl23_85 ),
inference(forward_subsumption_resolution,[],[f2947,f413]) ).
fof(f2953,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_85 ),
inference(forward_subsumption_resolution,[],[f2951,f418]) ).
fof(f2954,plain,
( ~ m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_85 ),
inference(forward_subsumption_resolution,[],[f2953,f272]) ).
fof(f2955,plain,
( $false
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_18
| spl23_85 ),
inference(forward_subsumption_resolution,[],[f2954,f888]) ).
fof(f2956,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_18
| spl23_85 ),
inference(avatar_contradiction_clause,[],[f2955]) ).
fof(f2958,plain,
( r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ spl23_30
| ~ spl23_75 ),
inference(resolution,[],[f2195,f1139]) ).
fof(f3122,plain,
( ~ r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ spl23_22
| spl23_76 ),
inference(resolution,[],[f2200,f1031]) ).
fof(f3136,plain,
( ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ spl23_22
| ~ spl23_30
| ~ spl23_75
| spl23_76 ),
inference(forward_subsumption_resolution,[],[f3122,f2958]) ).
fof(f3141,plain,
( $false
| ~ spl23_22
| ~ spl23_30
| ~ spl23_74
| ~ spl23_75
| spl23_76 ),
inference(forward_subsumption_resolution,[],[f3136,f2191]) ).
fof(f3142,plain,
( ~ spl23_22
| ~ spl23_30
| ~ spl23_74
| ~ spl23_75
| spl23_76 ),
inference(avatar_contradiction_clause,[],[f3141]) ).
fof(f3163,plain,
( r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ spl23_44
| ~ spl23_76 ),
inference(resolution,[],[f2199,f1614]) ).
fof(f3184,plain,
( r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ spl23_44
| ~ spl23_74
| ~ spl23_76 ),
inference(forward_subsumption_resolution,[],[f3163,f2191]) ).
fof(f3190,plain,
( ~ r3_lattices(sK0,sK1,sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ spl23_51
| spl23_75 ),
inference(resolution,[],[f2196,f1717]) ).
fof(f3199,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ spl23_44
| ~ spl23_51
| ~ spl23_74
| spl23_75
| ~ spl23_76 ),
inference(forward_subsumption_resolution,[],[f3190,f3184]) ).
fof(f3202,plain,
( ~ m1_subset_1(sK2(u1_struct_0(sK0),k2_filter_0(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),u1_struct_0(sK0))
| ~ spl23_1
| ~ spl23_44
| ~ spl23_51
| ~ spl23_74
| spl23_75
| ~ spl23_76 ),
inference(forward_subsumption_resolution,[],[f3199,f272]) ).
fof(f3206,plain,
( $false
| ~ spl23_1
| ~ spl23_44
| ~ spl23_51
| ~ spl23_74
| spl23_75
| ~ spl23_76 ),
inference(forward_subsumption_resolution,[],[f3202,f2191]) ).
fof(f3207,plain,
( ~ spl23_1
| ~ spl23_44
| ~ spl23_51
| ~ spl23_74
| spl23_75
| ~ spl23_76 ),
inference(avatar_contradiction_clause,[],[f3206]) ).
cnf(s1,plain,
spl23_1,
inference(sat_conversion,[],[f273]) ).
cnf(s2,plain,
~ spl23_2,
inference(sat_conversion,[],[f408]) ).
cnf(s3,plain,
spl23_3,
inference(sat_conversion,[],[f414]) ).
cnf(s4,plain,
spl23_4,
inference(sat_conversion,[],[f419]) ).
cnf(s5,plain,
~ spl23_5,
inference(sat_conversion,[],[f595]) ).
cnf(s6,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_6 ),
inference(sat_conversion,[],[f600]) ).
cnf(s9,plain,
( ~ spl23_1
| spl23_9 ),
inference(sat_conversion,[],[f665]) ).
cnf(s10,plain,
( ~ spl23_1
| spl23_10 ),
inference(sat_conversion,[],[f686]) ).
cnf(s18,plain,
( ~ spl23_4
| spl23_5
| spl23_18 ),
inference(sat_conversion,[],[f889]) ).
cnf(s20,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9
| spl23_20 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s22,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10
| spl23_22 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s30,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_9
| ~ spl23_20
| spl23_30 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s31,plain,
( ~ spl23_4
| spl23_31 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s44,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_10
| spl23_44 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s51,plain,
( ~ spl23_3
| ~ spl23_4
| spl23_51 ),
inference(sat_conversion,[],[f1718]) ).
cnf(s71,plain,
( ~ spl23_1
| spl23_71 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s73,plain,
( ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71
| ~ spl23_72
| spl23_74 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s74,plain,
( ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71
| ~ spl23_72
| ~ spl23_75
| ~ spl23_76 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s83,plain,
( ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_72
| ~ spl23_85 ),
inference(sat_conversion,[],[f2590]) ).
cnf(s101,plain,
( ~ spl23_3
| ~ spl23_4
| spl23_5
| spl23_6
| ~ spl23_31
| ~ spl23_71
| ~ spl23_72
| spl23_75
| spl23_76 ),
inference(sat_conversion,[],[f2877]) ).
cnf(s105,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| spl23_5
| ~ spl23_18
| spl23_85 ),
inference(sat_conversion,[],[f2956]) ).
cnf(s107,plain,
( ~ spl23_22
| ~ spl23_30
| ~ spl23_74
| ~ spl23_75
| spl23_76 ),
inference(sat_conversion,[],[f3142]) ).
cnf(s113,plain,
( ~ spl23_1
| ~ spl23_44
| ~ spl23_51
| ~ spl23_74
| spl23_75
| ~ spl23_76 ),
inference(sat_conversion,[],[f3207]) ).
cnf(s116,plain,
spl23_31,
inference(rat,[],[s31,s4]) ).
cnf(s117,plain,
spl23_18,
inference(rat,[],[s18,s5,s4]) ).
cnf(s132,plain,
spl23_51,
inference(rat,[],[s51,s4,s3]) ).
cnf(s152,plain,
spl23_85,
inference(rat,[],[s105,s3,s117,s5,s4,s1]) ).
cnf(s161,plain,
spl23_71,
inference(rat,[],[s71,s1]) ).
cnf(s182,plain,
spl23_10,
inference(rat,[],[s10,s1]) ).
cnf(s183,plain,
spl23_9,
inference(rat,[],[s9,s1]) ).
cnf(s185,plain,
~ spl23_6,
inference(rat,[],[s6,s2,s1]) ).
cnf(s186,plain,
spl23_72,
inference(rat,[],[s83,s3,s4,s5,s152]) ).
cnf(s193,plain,
spl23_44,
inference(rat,[],[s44,s1,s3,s5,s4,s182]) ).
cnf(s195,plain,
spl23_22,
inference(rat,[],[s22,s1,s3,s5,s4,s182]) ).
cnf(s199,plain,
spl23_20,
inference(rat,[],[s20,s1,s3,s5,s4,s183]) ).
cnf(s200,plain,
spl23_74,
inference(rat,[],[s73,s161,s186,s3,s116,s4,s5,s185]) ).
cnf(s205,plain,
spl23_30,
inference(rat,[],[s30,s183,s1,s3,s5,s4,s199]) ).
cnf(s211,plain,
spl23_75,
inference(rat,[],[s113,s101,s132,s1,s193,s200,s5,s4,s116,s3,s186,s161,s185]) ).
cnf(s212,plain,
~ spl23_76,
inference(rat,[],[s74,s185,s161,s186,s3,s116,s4,s5,s211]) ).
cnf(s213,plain,
$false,
inference(rat,[],[s107,s205,s195,s200,s212,s211]) ).
fof(f3212,plain,
$false,
inference(avatar_sat_refutation,[],[s213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT329+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:43:51 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.34/2.05 % (3588478)Detected formulas, will run a generic FOF schedule.
% 6.34/2.05 % (3588485)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=1694164524:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.34/2.05 % (3588489)dis-21_1_sil=8000:lcm=predicate:random_seed=3447132360: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)
% 6.34/2.05 % (3588486)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=18614951:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.34/2.05 % (3588488)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2848114501:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.34/2.05 % (3588484)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=2052412021:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.34/2.05 % (3588487)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3235738107:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.34/2.05 % (3588483)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=3232994669:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.34/2.05 % (3588486)Refutation not found, incomplete strategy
% 6.34/2.05 % (3588486)------------------------------
% 6.34/2.05 % (3588486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588486)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588486)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.05 % (3588486)Time elapsed: 0.003 s
% 6.34/2.05 % (3588486)Peak memory usage: 88 MB
% 6.34/2.05 % (3588486)Instructions burned: 3 (million)
% 6.34/2.05 % (3588487)Instruction limit reached!
% 6.34/2.05 % (3588487)------------------------------
% 6.34/2.05 % (3588487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588487)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588487)Termination reason: Instruction limit
% 6.34/2.05 % (3588487)Termination phase: Saturation
% 6.34/2.05 % (3588487)Time elapsed: 0.070 s
% 6.34/2.05 % (3588487)Peak memory usage: 88 MB
% 6.34/2.05 % (3588487)Instructions burned: 119 (million)
% 6.34/2.05 % (3588489)Instruction limit reached!
% 6.34/2.05 % (3588489)------------------------------
% 6.34/2.05 % (3588489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588489)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588489)Termination reason: Instruction limit
% 6.34/2.05 % (3588489)Termination phase: Saturation
% 6.34/2.05 % (3588489)Time elapsed: 0.071 s
% 6.34/2.05 % (3588489)Peak memory usage: 89 MB
% 6.34/2.05 % (3588489)Instructions burned: 130 (million)
% 6.34/2.05 % (3588488)Instruction limit reached!
% 6.34/2.05 % (3588488)------------------------------
% 6.34/2.05 % (3588488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588488)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588488)Termination reason: Instruction limit
% 6.34/2.05 % (3588488)Termination phase: Saturation
% 6.34/2.05 % (3588488)Time elapsed: 0.093 s
% 6.34/2.05 % (3588488)Peak memory usage: 89 MB
% 6.34/2.05 % (3588488)Instructions burned: 140 (million)
% 6.34/2.05 % (3588497)lrs+10_1_sil=8000:sp=occurrence:random_seed=158472966:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.34/2.05 % (3588498)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1549201549:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.34/2.05 % (3588498)Refutation not found, incomplete strategy
% 6.34/2.05 % (3588498)------------------------------
% 6.34/2.05 % (3588498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588498)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588498)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.05 % (3588498)Time elapsed: 0.005 s
% 6.34/2.05 % (3588498)Peak memory usage: 88 MB
% 6.34/2.05 % (3588498)Instructions burned: 5 (million)
% 6.34/2.05 % (3588486)------------------------------
% 6.34/2.05 % (3588486)------------------------------
% 6.34/2.05 % (3588499)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1008746090:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.34/2.05 % (3588503)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=2796918457:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.34/2.05 % (3588497)Instruction limit reached!
% 6.34/2.05 % (3588497)------------------------------
% 6.34/2.05 % (3588497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588497)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588497)Termination reason: Instruction limit
% 6.34/2.05 % (3588497)Termination phase: Saturation
% 6.34/2.05 % (3588497)Time elapsed: 0.174 s
% 6.34/2.05 % (3588497)Peak memory usage: 91 MB
% 6.34/2.05 % (3588497)Instructions burned: 285 (million)
% 6.34/2.05 % (3588503)Instruction limit reached!
% 6.34/2.05 % (3588503)------------------------------
% 6.34/2.05 % (3588503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588503)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588503)Termination reason: Instruction limit
% 6.34/2.05 % (3588503)Termination phase: Saturation
% 6.34/2.05 % (3588503)Time elapsed: 0.073 s
% 6.34/2.05 % (3588503)Peak memory usage: 90 MB
% 6.34/2.05 % (3588503)Instructions burned: 250 (million)
% 6.34/2.05 % (3588498)------------------------------
% 6.34/2.05 % (3588498)------------------------------
% 6.34/2.05 % (3588499)Instruction limit reached!
% 6.34/2.05 % (3588499)------------------------------
% 6.34/2.05 % (3588499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588499)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588499)Termination reason: Instruction limit
% 6.34/2.05 % (3588499)Termination phase: Saturation
% 6.34/2.05 % (3588499)Time elapsed: 0.228 s
% 6.34/2.05 % (3588499)Peak memory usage: 92 MB
% 6.34/2.05 % (3588499)Instructions burned: 325 (million)
% 6.34/2.05 % (3588505)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2330414378:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.34/2.05 % (3588505)Refutation not found, incomplete strategy
% 6.34/2.05 % (3588505)------------------------------
% 6.34/2.05 % (3588505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588505)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588505)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.05 % (3588505)Time elapsed: 0.006 s
% 6.34/2.05 % (3588505)Peak memory usage: 88 MB
% 6.34/2.05 % (3588505)Instructions burned: 8 (million)
% 6.34/2.05 % (3588506)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=352712684:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.34/2.05 % (3588507)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=730879312:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.34/2.05 % (3588508)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1498862264:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.34/2.05 % (3588508)Instruction limit reached!
% 6.34/2.05 % (3588508)------------------------------
% 6.34/2.05 % (3588508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588508)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588508)Termination reason: Instruction limit
% 6.34/2.05 % (3588508)Termination phase: Saturation
% 6.34/2.05 % (3588508)Time elapsed: 0.066 s
% 6.34/2.05 % (3588508)Peak memory usage: 88 MB
% 6.34/2.05 % (3588508)Instructions burned: 127 (million)
% 6.34/2.05 % (3588507)Instruction limit reached!
% 6.34/2.05 % (3588507)------------------------------
% 6.34/2.05 % (3588507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588507)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588507)Termination reason: Instruction limit
% 6.34/2.05 % (3588507)Termination phase: Saturation
% 6.34/2.05 % (3588507)Time elapsed: 0.078 s
% 6.34/2.05 % (3588507)Peak memory usage: 91 MB
% 6.34/2.05 % (3588507)Instructions burned: 113 (million)
% 6.34/2.05 % (3588485)First to succeed.
% 6.34/2.05 % (3588485)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3588478"
% 6.34/2.05 % (3588483)Also succeeded, but the first one will report.
% 6.34/2.05 % (3588505)------------------------------
% 6.34/2.05 % (3588505)------------------------------
% 6.34/2.05 % (3588513)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1020965749:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.34/2.05 % (3588514)lrs+10_1_sil=8000:sp=occurrence:random_seed=2897554596:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.34/2.05 % (3588513)Instruction limit reached!
% 6.34/2.05 % (3588513)------------------------------
% 6.34/2.05 % (3588513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588513)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588513)Termination reason: Instruction limit
% 6.34/2.05 % (3588513)Termination phase: Saturation
% 6.34/2.05 % (3588513)Time elapsed: 0.067 s
% 6.34/2.05 % (3588513)Peak memory usage: 89 MB
% 6.34/2.05 % (3588513)Instructions burned: 114 (million)
% 6.34/2.05 % (3588515)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=810967421:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.34/2.05 % (3588515)Refutation not found, incomplete strategy
% 6.34/2.05 % (3588515)------------------------------
% 6.34/2.05 % (3588515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.05 % (3588515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.05 % (3588515)CaDiCaL version: 2.1.3
% 6.34/2.05 % (3588515)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.05 % (3588515)Time elapsed: 0.005 s
% 6.34/2.05 % (3588515)Peak memory usage: 88 MB
% 6.34/2.05 % (3588515)Instructions burned: 6 (million)
% 6.34/2.05 % (3588485)Refutation found. Thanks to Tanya!
% 6.34/2.05 % SZS status Theorem for theBenchmark
% 6.34/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 8.88/2.24 % (3588485)------------------------------
% 8.88/2.24 % (3588485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.24 % (3588485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.24 % (3588485)CaDiCaL version: 2.1.3
% 8.88/2.24 % (3588485)Termination reason: Refutation
% 8.88/2.24 % (3588485)Time elapsed: 0.791 s
% 8.88/2.24 % (3588485)Peak memory usage: 133 MB
% 8.88/2.24 % (3588485)Instructions burned: 1388 (million)
% 8.88/2.24 % (3588485)------------------------------
% 8.88/2.24 % (3588485)------------------------------
% 8.88/2.24 % (3588478)Success in time 1.182 s
% 8.88/2.25 % Vampire exiting
%------------------------------------------------------------------------------