%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT297+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 : n014.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 11:46:38 AM UTC 2026
% Result : Theorem 8.75s 2.06s
% Output : Refutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 19
% Syntax : Number of formulae : 232 ( 33 unt; 10 def)
% Number of atoms : 1071 ( 90 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1413 ( 574 ~; 688 |; 109 &)
% ( 17 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 8 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 288 ( 0 sgn 272 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
=> m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
=> m2_lattice4(X1,X0) ) ) ),
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(f11,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( m2_lattice4(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
=> ( r2_hidden(k4_lattices(X0,X2,X3),X1)
& r2_hidden(k3_lattices(X0,X2,X3),X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_lattice4) ).
fof(f18,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v9_lattices(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattices) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattices) ).
fof(f35,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f76,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ~ m2_lattice4(X1,X0)
& ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f101,plain,
? [X0] :
( ? [X1] :
( ~ m2_lattice4(X1,X0)
& ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f100]) ).
fof(f104,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(f105,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,[],[f104]) ).
fof(f112,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f112]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( r2_hidden(k4_lattices(X0,X2,X3),X1)
& r2_hidden(k3_lattices(X0,X2,X3),X1) )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( r2_hidden(k4_lattices(X0,X2,X3),X1)
& r2_hidden(k3_lattices(X0,X2,X3),X1) )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f124,plain,
! [X0] :
( ( v9_lattices(X0)
<=> ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f125,plain,
! [X0] :
( ( v9_lattices(X0)
<=> ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f127,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f126]) ).
fof(f138,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f165,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f166,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f76]) ).
fof(f168,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f167]) ).
fof(f179,plain,
? [X0] :
( ? [X1] :
( ~ m2_lattice4(X1,X0)
& ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f180,plain,
? [X0] :
( ? [X1] :
( ~ m2_lattice4(X1,X0)
& ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f179]) ).
fof(f181,plain,
( ~ m2_lattice4(sK1,sK0)
& ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,sK1)
& r2_hidden(X3,sK1) )
| ~ r2_hidden(k4_lattices(sK0,X2,X3),sK1) )
& ( r2_hidden(k4_lattices(sK0,X2,X3),sK1)
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(X3,sK1) ) )
| ~ m1_subset_1(X3,u1_struct_0(sK0)) )
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_subset_1(sK1,k1_zfmisc_1(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)],[f180]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ( ( m2_lattice4(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(k3_lattices(X0,X2,X3),X1) )
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( ( r2_hidden(k4_lattices(X0,X2,X3),X1)
& r2_hidden(k3_lattices(X0,X2,X3),X1) )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m2_lattice4(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( ( ( m2_lattice4(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(k3_lattices(X0,X2,X3),X1) )
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( r2_hidden(k4_lattices(X0,X4,X5),X1)
& r2_hidden(k3_lattices(X0,X4,X5),X1) )
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m2_lattice4(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f182]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( ( m2_lattice4(X1,X0)
| ( ( ~ r2_hidden(k4_lattices(X0,sK2(X0,X1),sK3(X0,X1)),X1)
| ~ r2_hidden(k3_lattices(X0,sK2(X0,X1),sK3(X0,X1)),X1) )
& r2_hidden(sK2(X0,X1),X1)
& r2_hidden(sK3(X0,X1),X1)
& m1_subset_1(sK3(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK2(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( r2_hidden(k4_lattices(X0,X4,X5),X1)
& r2_hidden(k3_lattices(X0,X4,X5),X1) )
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m2_lattice4(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f183]) ).
fof(f185,plain,
! [X0] :
( ( ( v9_lattices(X0)
| ? [X1] :
( ? [X2] :
( k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) != X1
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v9_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f186,plain,
! [X0] :
( ( ( v9_lattices(X0)
| ? [X1] :
( ? [X2] :
( k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) != X1
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) = X3
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v9_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f185]) ).
fof(f187,plain,
! [X0] :
( ( ( v9_lattices(X0)
| ( sK4(X0) != k2_lattices(X0,sK4(X0),k1_lattices(X0,sK4(X0),sK5(X0)))
& m1_subset_1(sK5(X0),u1_struct_0(X0))
& m1_subset_1(sK4(X0),u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) = X3
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v9_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0))],[f186]) ).
fof(f209,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f181]) ).
fof(f210,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f181]) ).
fof(f211,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f181]) ).
fof(f212,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f181]) ).
fof(f213,plain,
! [X2,X3] :
( r2_hidden(k4_lattices(sK0,X2,X3),sK1)
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(X3,sK1)
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f214,plain,
! [X2,X3] :
( r2_hidden(X3,sK1)
| ~ r2_hidden(k4_lattices(sK0,X2,X3),sK1)
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f216,plain,
~ m2_lattice4(sK1,sK0),
inference(cnf_transformation,[],[f181]) ).
fof(f219,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f222,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f224,plain,
! [X0] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
! [X0,X1] :
( m1_subset_1(sK2(X0,X1),u1_struct_0(X0))
| m2_lattice4(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f238,plain,
! [X0,X1] :
( m1_subset_1(sK3(X0,X1),u1_struct_0(X0))
| m2_lattice4(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f239,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK3(X0,X1),X1)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f240,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK2(X0,X1),X1)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f241,plain,
! [X0,X1] :
( ~ r2_hidden(k3_lattices(X0,sK2(X0,X1),sK3(X0,X1)),X1)
| ~ r2_hidden(k4_lattices(X0,sK2(X0,X1),sK3(X0,X1)),X1)
| m2_lattice4(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f246,plain,
! [X3,X0,X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) = X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f250,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f257,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f258,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f333,definition,
! [X2,X3] : sF26(X2,X3) = k4_lattices(sK0,X2,X3),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f334,plain,
! [X2,X3] : k4_lattices(sK0,X2,X3) = sF26(X2,X3),
inference(reorient_equations,[],[f333]) ).
fof(f335,definition,
sF27 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f336,plain,
u1_struct_0(sK0) = sF27,
inference(reorient_equations,[],[f335]) ).
fof(f338,plain,
! [X2,X3] :
( ~ r2_hidden(sF26(X2,X3),sK1)
| r2_hidden(X3,sK1)
| ~ m1_subset_1(X3,sF27)
| ~ m1_subset_1(X2,sF27) ),
inference(definition_folding,[],[f214,f336,f336,f334]) ).
fof(f339,plain,
! [X2,X3] :
( r2_hidden(sF26(X2,X3),sK1)
| ~ r2_hidden(X2,sK1)
| ~ r2_hidden(X3,sK1)
| ~ m1_subset_1(X3,sF27)
| ~ m1_subset_1(X2,sF27) ),
inference(definition_folding,[],[f213,f336,f336,f334]) ).
fof(f340,definition,
sF28 = k1_zfmisc_1(sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f341,plain,
k1_zfmisc_1(sF27) = sF28,
inference(reorient_equations,[],[f340]) ).
fof(f342,plain,
m1_subset_1(sK1,sF28),
inference(definition_folding,[],[f212,f341,f336]) ).
fof(f349,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK2(sK0,X0),X0)
| m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f240,f336]) ).
fof(f350,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK2(sK0,X0),X0)
| m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f349,f211]) ).
fof(f351,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK2(sK0,X0),X0)
| m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f350,f210]) ).
fof(f352,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK2(sK0,X0),X0)
| m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f351,f209]) ).
fof(f353,plain,
! [X0] :
( r2_hidden(sK2(sK0,X0),X0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0) ),
inference(forward_demodulation,[],[f352,f341]) ).
fof(f354,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK3(sK0,X0),X0)
| m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f239,f336]) ).
fof(f355,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK3(sK0,X0),X0)
| m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f354,f211]) ).
fof(f356,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK3(sK0,X0),X0)
| m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f355,f210]) ).
fof(f357,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| r2_hidden(sK3(sK0,X0),X0)
| m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f356,f209]) ).
fof(f358,plain,
! [X0] :
( r2_hidden(sK3(sK0,X0),X0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0) ),
inference(forward_demodulation,[],[f357,f341]) ).
fof(f359,plain,
! [X0] :
( m1_subset_1(sK2(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f237,f336]) ).
fof(f360,plain,
! [X0] :
( m1_subset_1(sK2(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f359,f211]) ).
fof(f361,plain,
! [X0] :
( m1_subset_1(sK2(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f360,f210]) ).
fof(f362,plain,
! [X0] :
( m1_subset_1(sK2(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27)) ),
inference(forward_subsumption_resolution,[],[f361,f209]) ).
fof(f363,plain,
! [X0] :
( m1_subset_1(sK2(sK0,X0),sF27)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0) ),
inference(forward_demodulation,[],[f362,f341]) ).
fof(f364,plain,
! [X0] :
( m1_subset_1(sK3(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f238,f336]) ).
fof(f365,plain,
! [X0] :
( m1_subset_1(sK3(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f364,f211]) ).
fof(f366,plain,
! [X0] :
( m1_subset_1(sK3(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f365,f210]) ).
fof(f367,plain,
! [X0] :
( m1_subset_1(sK3(sK0,X0),sF27)
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF27)) ),
inference(forward_subsumption_resolution,[],[f366,f209]) ).
fof(f368,plain,
! [X0] :
( m1_subset_1(sK3(sK0,X0),sF27)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0) ),
inference(forward_demodulation,[],[f367,f341]) ).
fof(f382,definition,
( spl29_1
<=> l1_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f383,plain,
( l1_lattices(sK0)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ l1_lattices(sK0)
| spl29_1 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f386,definition,
( spl29_2
<=> v6_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f387,plain,
( v6_lattices(sK0)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ v6_lattices(sK0)
| spl29_2 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f393,plain,
l2_lattices(sK0),
inference(resolution,[],[f257,f209]) ).
fof(f394,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK2(X0,X2)) = k1_lattices(X0,X1,sK2(X0,X2))
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f319,f237]) ).
fof(f395,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k1_lattices(X0,X1,sK3(X0,X2))
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f319,f238]) ).
fof(f397,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k1_lattices(X0,X1,sK3(X0,X2))
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f395]) ).
fof(f398,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK2(X0,X2)) = k1_lattices(X0,X1,sK2(X0,X2))
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f394]) ).
fof(f400,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k1_lattices(X0,X1,sK3(X0,X2))
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f397,f224]) ).
fof(f401,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK2(X0,X2)) = k1_lattices(X0,X1,sK2(X0,X2))
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f398,f224]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k1_lattices(X0,X1,sK3(X0,X2))
| m2_lattice4(X2,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f400,f257]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK2(X0,X2)) = k1_lattices(X0,X1,sK2(X0,X2))
| m2_lattice4(X2,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f401,f257]) ).
fof(f413,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k1_lattices(sK0,X1,sK3(sK0,X0))
| m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f403,f336]) ).
fof(f414,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k1_lattices(sK0,X1,sK3(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f413,f211]) ).
fof(f415,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k1_lattices(sK0,X1,sK3(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f414,f210]) ).
fof(f416,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k1_lattices(sK0,X1,sK3(sK0,X0))
| m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f415,f209]) ).
fof(f417,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF27)
| ~ m1_subset_1(X0,sF28)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k1_lattices(sK0,X1,sK3(sK0,X0))
| m2_lattice4(X0,sK0) ),
inference(forward_demodulation,[],[f416,f341]) ).
fof(f418,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k3_lattices(sK0,sK2(sK0,X1),sK3(sK0,X0)) = k1_lattices(sK0,sK2(sK0,X1),sK3(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X1,sK0) ),
inference(resolution,[],[f417,f363]) ).
fof(f420,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK2(sK0,X0)) = k1_lattices(sK0,X1,sK2(sK0,X0))
| m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f404,f336]) ).
fof(f421,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK2(sK0,X0)) = k1_lattices(sK0,X1,sK2(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f420,f211]) ).
fof(f422,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK2(sK0,X0)) = k1_lattices(sK0,X1,sK2(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f421,f210]) ).
fof(f423,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK2(sK0,X0)) = k1_lattices(sK0,X1,sK2(sK0,X0))
| m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f422,f209]) ).
fof(f424,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF27)
| ~ m1_subset_1(X0,sF28)
| k3_lattices(sK0,X1,sK2(sK0,X0)) = k1_lattices(sK0,X1,sK2(sK0,X0))
| m2_lattice4(X0,sK0) ),
inference(forward_demodulation,[],[f423,f341]) ).
fof(f426,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k3_lattices(sK0,sK3(sK0,X1),sK2(sK0,X0)) = k1_lattices(sK0,sK3(sK0,X1),sK2(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X1,sK0) ),
inference(resolution,[],[f424,f368]) ).
fof(f431,plain,
l1_lattices(sK0),
inference(resolution,[],[f258,f209]) ).
fof(f432,plain,
( $false
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f431,f384]) ).
fof(f433,plain,
spl29_1,
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f436,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF27)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ m1_subset_1(X1,sF27)
| k4_lattices(sK0,X1,X0) = k2_lattices(sK0,X1,X0) ),
inference(superposition,[],[f320,f336]) ).
fof(f444,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k3_lattices(X0,sK3(X0,X2),X1)
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f233,f238]) ).
fof(f446,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k3_lattices(X0,sK3(X0,X2),X1)
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f448,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k3_lattices(X0,sK3(X0,X2),X1)
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f446,f224]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,sK3(X0,X2)) = k3_lattices(X0,sK3(X0,X2),X1)
| m2_lattice4(X2,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f448,f257]) ).
fof(f452,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),X1)
| m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f450,f336]) ).
fof(f453,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),X1)
| m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f452,f211]) ).
fof(f454,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),X1)
| m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f453,f210]) ).
fof(f455,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),X1)
| m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f454,f209]) ).
fof(f456,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF27)
| ~ m1_subset_1(X0,sF28)
| k3_lattices(sK0,X1,sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),X1)
| m2_lattice4(X0,sK0) ),
inference(forward_demodulation,[],[f455,f341]) ).
fof(f457,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k3_lattices(sK0,sK2(sK0,X1),sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),sK2(sK0,X1))
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X1,sK0) ),
inference(resolution,[],[f456,f363]) ).
fof(f480,plain,
! [X0] :
( k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,X0)) = k1_lattices(sK0,sK3(sK0,sK1),sK2(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(sK1,sK0) ),
inference(resolution,[],[f426,f342]) ).
fof(f481,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0)
| k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,X0)) = k1_lattices(sK0,sK3(sK0,sK1),sK2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f480,f216]) ).
fof(f482,plain,
( m2_lattice4(sK1,sK0)
| k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)) = k1_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)) ),
inference(resolution,[],[f481,f342]) ).
fof(f483,plain,
k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)) = k1_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f482,f216]) ).
fof(f484,plain,
! [X0] :
( k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,X0)) = k1_lattices(sK0,sK2(sK0,sK1),sK3(sK0,X0))
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(sK1,sK0) ),
inference(resolution,[],[f418,f342]) ).
fof(f485,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0)
| k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,X0)) = k1_lattices(sK0,sK2(sK0,sK1),sK3(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f484,f216]) ).
fof(f486,plain,
( m2_lattice4(sK1,sK0)
| k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)) = k1_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)) ),
inference(resolution,[],[f485,f342]) ).
fof(f487,plain,
k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)) = k1_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f486,f216]) ).
fof(f527,plain,
! [X0] :
( k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),sK2(sK0,sK1))
| m2_lattice4(X0,sK0)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(sK1,sK0) ),
inference(resolution,[],[f457,f342]) ).
fof(f528,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0)
| k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,X0)) = k3_lattices(sK0,sK3(sK0,X0),sK2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f527,f216]) ).
fof(f529,plain,
( m2_lattice4(sK1,sK0)
| k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)) = k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)) ),
inference(resolution,[],[f528,f342]) ).
fof(f530,plain,
k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)) = k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f529,f216]) ).
fof(f567,plain,
( m1_subset_1(k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| ~ m1_subset_1(sK3(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sK0,sK1),u1_struct_0(sK0)) ),
inference(superposition,[],[f250,f483]) ).
fof(f580,plain,
( m1_subset_1(k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)),u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ m1_subset_1(sK3(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f567,f211]) ).
fof(f585,plain,
( m1_subset_1(k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f580,f393]) ).
fof(f589,plain,
( m1_subset_1(k3_lattices(sK0,sK3(sK0,sK1),sK2(sK0,sK1)),sF27)
| ~ m1_subset_1(sK3(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f585,f336]) ).
fof(f593,plain,
( m1_subset_1(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sF27)
| ~ m1_subset_1(sK3(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f589,f530]) ).
fof(f600,definition,
( spl29_12
<=> m1_subset_1(sK2(sK0,sK1),sF27) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f601,plain,
( m1_subset_1(sK2(sK0,sK1),sF27)
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f602,plain,
( ~ m1_subset_1(sK2(sK0,sK1),sF27)
| spl29_12 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f605,plain,
( ~ m1_subset_1(sK3(sK0,sK1),sF27)
| m1_subset_1(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sF27)
| ~ m1_subset_1(sK2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f593,f336]) ).
fof(f611,definition,
( spl29_14
<=> m1_subset_1(sK3(sK0,sK1),sF27) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f612,plain,
( m1_subset_1(sK3(sK0,sK1),sF27)
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f613,plain,
( ~ m1_subset_1(sK3(sK0,sK1),sF27)
| spl29_14 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f616,definition,
( spl29_15
<=> m1_subset_1(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sF27) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f618,plain,
( m1_subset_1(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sF27)
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,plain,
( ~ m1_subset_1(sK2(sK0,sK1),sF27)
| ~ m1_subset_1(sK3(sK0,sK1),sF27)
| m1_subset_1(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sF27) ),
inference(forward_demodulation,[],[f605,f336]) ).
fof(f621,plain,
( spl29_15
| ~ spl29_14
| ~ spl29_12 ),
inference(avatar_split_clause,[],[f620,f600,f611,f616]) ).
fof(f622,plain,
( ~ m1_subset_1(sK1,sF28)
| m2_lattice4(sK1,sK0)
| spl29_12 ),
inference(resolution,[],[f602,f363]) ).
fof(f623,plain,
( m2_lattice4(sK1,sK0)
| spl29_12 ),
inference(forward_subsumption_resolution,[],[f622,f342]) ).
fof(f624,plain,
( $false
| spl29_12 ),
inference(forward_subsumption_resolution,[],[f623,f216]) ).
fof(f625,plain,
spl29_12,
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f633,plain,
( ~ m1_subset_1(sK1,sF28)
| m2_lattice4(sK1,sK0)
| spl29_14 ),
inference(resolution,[],[f613,f368]) ).
fof(f634,plain,
( m2_lattice4(sK1,sK0)
| spl29_14 ),
inference(forward_subsumption_resolution,[],[f633,f342]) ).
fof(f635,plain,
( $false
| spl29_14 ),
inference(forward_subsumption_resolution,[],[f634,f216]) ).
fof(f636,plain,
spl29_14,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f752,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,k1_lattices(X0,X1,sK3(X0,X2))) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f246,f238]) ).
fof(f754,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,k1_lattices(X0,X1,sK3(X0,X2))) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m2_lattice4(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0) ),
inference(duplicate_literal_removal,[],[f752]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m2_lattice4(X2,X0)
| k2_lattices(X0,X1,k1_lattices(X0,X1,sK3(X0,X2))) = X1
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f754,f219]) ).
fof(f825,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| m2_lattice4(X0,sK0)
| k2_lattices(sK0,X1,k1_lattices(sK0,X1,sK3(sK0,X0))) = X1
| ~ v10_lattices(sK0) ),
inference(superposition,[],[f761,f336]) ).
fof(f826,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| ~ l3_lattices(sK0)
| m2_lattice4(X0,sK0)
| k2_lattices(sK0,X1,k1_lattices(sK0,X1,sK3(sK0,X0))) = X1
| ~ v10_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f825,f211]) ).
fof(f827,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| m2_lattice4(X0,sK0)
| k2_lattices(sK0,X1,k1_lattices(sK0,X1,sK3(sK0,X0))) = X1
| ~ v10_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f826,f209]) ).
fof(f828,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF27))
| ~ m1_subset_1(X1,sF27)
| m2_lattice4(X0,sK0)
| k2_lattices(sK0,X1,k1_lattices(sK0,X1,sK3(sK0,X0))) = X1 ),
inference(forward_subsumption_resolution,[],[f827,f210]) ).
fof(f829,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF27)
| ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0)
| k2_lattices(sK0,X1,k1_lattices(sK0,X1,sK3(sK0,X0))) = X1 ),
inference(forward_demodulation,[],[f828,f341]) ).
fof(f834,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF28)
| m2_lattice4(X0,sK0)
| sK2(sK0,sK1) = k2_lattices(sK0,sK2(sK0,sK1),k1_lattices(sK0,sK2(sK0,sK1),sK3(sK0,X0))) )
| ~ spl29_12 ),
inference(resolution,[],[f829,f601]) ).
fof(f897,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(resolution,[],[f222,f209]) ).
fof(f898,plain,
( ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f897,f211]) ).
fof(f899,plain,
v6_lattices(sK0),
inference(forward_subsumption_resolution,[],[f898,f210]) ).
fof(f900,plain,
( $false
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f899,f388]) ).
fof(f901,plain,
spl29_2,
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f902,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF27)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ m1_subset_1(X1,sF27)
| k4_lattices(sK0,X1,X0) = k2_lattices(sK0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f436,f211]) ).
fof(f905,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF27)
| ~ l1_lattices(sK0)
| ~ m1_subset_1(X1,sF27)
| k4_lattices(sK0,X1,X0) = k2_lattices(sK0,X1,X0) )
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f902,f387]) ).
fof(f908,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF27)
| ~ m1_subset_1(X1,sF27)
| k4_lattices(sK0,X1,X0) = k2_lattices(sK0,X1,X0) )
| ~ spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f905,f383]) ).
fof(f911,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF27)
| ~ m1_subset_1(X0,sF27)
| sF26(X1,X0) = k2_lattices(sK0,X1,X0) )
| ~ spl29_1
| ~ spl29_2 ),
inference(forward_demodulation,[],[f908,f334]) ).
fof(f956,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF27)
| sF26(sK2(sK0,sK1),X0) = k2_lattices(sK0,sK2(sK0,sK1),X0) )
| ~ spl29_1
| ~ spl29_2
| ~ spl29_12 ),
inference(resolution,[],[f911,f601]) ).
fof(f982,plain,
( sF26(sK2(sK0,sK1),k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1))) = k2_lattices(sK0,sK2(sK0,sK1),k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)))
| ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15 ),
inference(resolution,[],[f956,f618]) ).
fof(f1144,plain,
( m2_lattice4(sK1,sK0)
| sK2(sK0,sK1) = k2_lattices(sK0,sK2(sK0,sK1),k1_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)))
| ~ spl29_12 ),
inference(resolution,[],[f834,f342]) ).
fof(f1145,plain,
( sK2(sK0,sK1) = k2_lattices(sK0,sK2(sK0,sK1),k1_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)))
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f1144,f216]) ).
fof(f1146,plain,
( sK2(sK0,sK1) = k2_lattices(sK0,sK2(sK0,sK1),k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)))
| ~ spl29_12 ),
inference(forward_demodulation,[],[f1145,f487]) ).
fof(f1147,plain,
( sK2(sK0,sK1) = sF26(sK2(sK0,sK1),k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)))
| ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15 ),
inference(forward_demodulation,[],[f1146,f982]) ).
fof(f1150,plain,
( ~ r2_hidden(sK2(sK0,sK1),sK1)
| r2_hidden(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ m1_subset_1(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sF27)
| ~ m1_subset_1(sK2(sK0,sK1),sF27)
| ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15 ),
inference(superposition,[],[f338,f1147]) ).
fof(f1153,plain,
( ~ r2_hidden(sK2(sK0,sK1),sK1)
| r2_hidden(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ m1_subset_1(sK2(sK0,sK1),sF27)
| ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15 ),
inference(forward_subsumption_resolution,[],[f1150,f618]) ).
fof(f1154,plain,
( ~ r2_hidden(sK2(sK0,sK1),sK1)
| r2_hidden(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15 ),
inference(forward_subsumption_resolution,[],[f1153,f601]) ).
fof(f1156,definition,
( spl29_18
<=> r2_hidden(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f1158,plain,
( r2_hidden(k3_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1160,definition,
( spl29_19
<=> r2_hidden(sK2(sK0,sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f1161,plain,
( r2_hidden(sK2(sK0,sK1),sK1)
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1162,plain,
( ~ r2_hidden(sK2(sK0,sK1),sK1)
| spl29_19 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1163,plain,
( spl29_18
| ~ spl29_19
| ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15 ),
inference(avatar_split_clause,[],[f1154,f616,f600,f386,f382,f1160,f1156]) ).
fof(f1164,plain,
( ~ m1_subset_1(sK1,sF28)
| m2_lattice4(sK1,sK0)
| spl29_19 ),
inference(resolution,[],[f1162,f353]) ).
fof(f1165,plain,
( m2_lattice4(sK1,sK0)
| spl29_19 ),
inference(forward_subsumption_resolution,[],[f1164,f342]) ).
fof(f1166,plain,
( $false
| spl29_19 ),
inference(forward_subsumption_resolution,[],[f1165,f216]) ).
fof(f1167,plain,
spl29_19,
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1169,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| m2_lattice4(sK1,sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_18 ),
inference(resolution,[],[f1158,f241]) ).
fof(f1171,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f1169,f216]) ).
fof(f1172,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f1171,f211]) ).
fof(f1173,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f1172,f210]) ).
fof(f1174,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f1173,f209]) ).
fof(f1175,plain,
( ~ r2_hidden(sF26(sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl29_18 ),
inference(forward_demodulation,[],[f1174,f334]) ).
fof(f1176,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(sF27))
| ~ r2_hidden(sF26(sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ spl29_18 ),
inference(forward_demodulation,[],[f1175,f336]) ).
fof(f1177,plain,
( ~ m1_subset_1(sK1,sF28)
| ~ r2_hidden(sF26(sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ spl29_18 ),
inference(forward_demodulation,[],[f1176,f341]) ).
fof(f1178,plain,
( ~ r2_hidden(sF26(sK2(sK0,sK1),sK3(sK0,sK1)),sK1)
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f1177,f342]) ).
fof(f1179,plain,
( ~ r2_hidden(sK2(sK0,sK1),sK1)
| ~ r2_hidden(sK3(sK0,sK1),sK1)
| ~ m1_subset_1(sK3(sK0,sK1),sF27)
| ~ m1_subset_1(sK2(sK0,sK1),sF27)
| ~ spl29_18 ),
inference(resolution,[],[f1178,f339]) ).
fof(f1180,plain,
( ~ r2_hidden(sK3(sK0,sK1),sK1)
| ~ m1_subset_1(sK3(sK0,sK1),sF27)
| ~ m1_subset_1(sK2(sK0,sK1),sF27)
| ~ spl29_18
| ~ spl29_19 ),
inference(forward_subsumption_resolution,[],[f1179,f1161]) ).
fof(f1181,plain,
( ~ r2_hidden(sK3(sK0,sK1),sK1)
| ~ m1_subset_1(sK2(sK0,sK1),sF27)
| ~ spl29_14
| ~ spl29_18
| ~ spl29_19 ),
inference(forward_subsumption_resolution,[],[f1180,f612]) ).
fof(f1182,plain,
( ~ r2_hidden(sK3(sK0,sK1),sK1)
| ~ spl29_12
| ~ spl29_14
| ~ spl29_18
| ~ spl29_19 ),
inference(forward_subsumption_resolution,[],[f1181,f601]) ).
fof(f1183,plain,
( ~ m1_subset_1(sK1,sF28)
| m2_lattice4(sK1,sK0)
| ~ spl29_12
| ~ spl29_14
| ~ spl29_18
| ~ spl29_19 ),
inference(resolution,[],[f1182,f358]) ).
fof(f1184,plain,
( m2_lattice4(sK1,sK0)
| ~ spl29_12
| ~ spl29_14
| ~ spl29_18
| ~ spl29_19 ),
inference(forward_subsumption_resolution,[],[f1183,f342]) ).
fof(f1185,plain,
( $false
| ~ spl29_12
| ~ spl29_14
| ~ spl29_18
| ~ spl29_19 ),
inference(forward_subsumption_resolution,[],[f1184,f216]) ).
fof(f1186,plain,
( ~ spl29_12
| ~ spl29_14
| ~ spl29_18
| ~ spl29_19 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
cnf(s3,plain,
spl29_1,
inference(sat_conversion,[],[f433]) ).
cnf(s10,plain,
( ~ spl29_12
| ~ spl29_14
| spl29_15 ),
inference(sat_conversion,[],[f621]) ).
cnf(s11,plain,
spl29_12,
inference(sat_conversion,[],[f625]) ).
cnf(s12,plain,
spl29_14,
inference(sat_conversion,[],[f636]) ).
cnf(s14,plain,
spl29_2,
inference(sat_conversion,[],[f901]) ).
cnf(s15,plain,
( ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15
| spl29_18
| ~ spl29_19 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s16,plain,
spl29_19,
inference(sat_conversion,[],[f1167]) ).
cnf(s17,plain,
( ~ spl29_12
| ~ spl29_14
| ~ spl29_18
| ~ spl29_19 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s18,plain,
( ~ spl29_1
| ~ spl29_2
| ~ spl29_12
| ~ spl29_15
| spl29_18 ),
inference(rat,[],[s15,s16]) ).
cnf(s19,plain,
~ spl29_18,
inference(rat,[],[s17,s16,s12,s11]) ).
cnf(s20,plain,
spl29_15,
inference(rat,[],[s10,s12,s11]) ).
cnf(s21,plain,
~ spl29_1,
inference(rat,[],[s18,s19,s11,s14,s20]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s3,s21]) ).
fof(f1187,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT297+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 14:20:31 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 8.75/2.06 % (859921)Detected formulas, will run a generic FOF schedule.
% 8.75/2.06 % (859932)dis-21_1_sil=8000:lcm=predicate:random_seed=601832915: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)
% 8.75/2.06 % (859931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2721941633:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.75/2.06 % (859926)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=1736693754:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.75/2.06 % (859928)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=417582886:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.75/2.06 % (859929)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=426795923:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.75/2.06 % (859927)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=2488800054:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.75/2.06 % (859930)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2183607656:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.75/2.06 % (859929)Refutation not found, incomplete strategy
% 8.75/2.06 % (859929)------------------------------
% 8.75/2.06 % (859929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859929)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859929)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.06 % (859929)Time elapsed: 0.003 s
% 8.75/2.06 % (859929)Peak memory usage: 88 MB
% 8.75/2.06 % (859929)Instructions burned: 3 (million)
% 8.75/2.06 % (859932)Instruction limit reached!
% 8.75/2.06 % (859932)------------------------------
% 8.75/2.06 % (859932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859932)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859932)Termination reason: Instruction limit
% 8.75/2.06 % (859932)Termination phase: Saturation
% 8.75/2.06 % (859932)Time elapsed: 0.038 s
% 8.75/2.06 % (859932)Peak memory usage: 90 MB
% 8.75/2.06 % (859932)Instructions burned: 131 (million)
% 8.75/2.06 % (859930)Instruction limit reached!
% 8.75/2.06 % (859930)------------------------------
% 8.75/2.06 % (859930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859930)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859930)Termination reason: Instruction limit
% 8.75/2.06 % (859930)Termination phase: Saturation
% 8.75/2.06 % (859930)Time elapsed: 0.067 s
% 8.75/2.06 % (859930)Peak memory usage: 88 MB
% 8.75/2.06 % (859930)Instructions burned: 119 (million)
% 8.75/2.06 % (859931)Instruction limit reached!
% 8.75/2.06 % (859931)------------------------------
% 8.75/2.06 % (859931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859931)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859931)Termination reason: Instruction limit
% 8.75/2.06 % (859931)Termination phase: Saturation
% 8.75/2.06 % (859931)Time elapsed: 0.098 s
% 8.75/2.06 % (859931)Peak memory usage: 90 MB
% 8.75/2.06 % (859931)Instructions burned: 139 (million)
% 8.75/2.06 % (859940)lrs+10_1_sil=8000:sp=occurrence:random_seed=3131405088:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.75/2.06 % (859941)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3011844298:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.75/2.06 % (859940)Instruction limit reached!
% 8.75/2.06 % (859940)------------------------------
% 8.75/2.06 % (859940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859940)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859940)Termination reason: Instruction limit
% 8.75/2.06 % (859940)Termination phase: Saturation
% 8.75/2.06 % (859940)Time elapsed: 0.085 s
% 8.75/2.06 % (859940)Peak memory usage: 91 MB
% 8.75/2.06 % (859940)Instructions burned: 285 (million)
% 8.75/2.06 % (859929)------------------------------
% 8.75/2.06 % (859929)------------------------------
% 8.75/2.06 % (859942)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2056300134:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.75/2.06 % (859941)Instruction limit reached!
% 8.75/2.06 % (859941)------------------------------
% 8.75/2.06 % (859941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859941)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859941)Termination reason: Instruction limit
% 8.75/2.06 % (859941)Termination phase: Saturation
% 8.75/2.06 % (859941)Time elapsed: 0.079 s
% 8.75/2.06 % (859941)Peak memory usage: 90 MB
% 8.75/2.06 % (859941)Instructions burned: 157 (million)
% 8.75/2.06 % (859945)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=2350713336:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.75/2.06 % (859947)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1578992907:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.75/2.06 % (859947)Refutation not found, incomplete strategy
% 8.75/2.06 % (859947)------------------------------
% 8.75/2.06 % (859947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859947)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859947)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.06 % (859947)Time elapsed: 0.005 s
% 8.75/2.06 % (859947)Peak memory usage: 88 MB
% 8.75/2.06 % (859947)Instructions burned: 5 (million)
% 8.75/2.06 % (859945)Instruction limit reached!
% 8.75/2.06 % (859945)------------------------------
% 8.75/2.06 % (859945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859945)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859945)Termination reason: Instruction limit
% 8.75/2.06 % (859945)Termination phase: Saturation
% 8.75/2.06 % (859945)Time elapsed: 0.062 s
% 8.75/2.06 % (859945)Peak memory usage: 92 MB
% 8.75/2.06 % (859945)Instructions burned: 250 (million)
% 8.75/2.06 % (859948)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3955189007:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.75/2.06 % (859942)Instruction limit reached!
% 8.75/2.06 % (859942)------------------------------
% 8.75/2.06 % (859942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859942)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859942)Termination reason: Instruction limit
% 8.75/2.06 % (859942)Termination phase: Saturation
% 8.75/2.06 % (859942)Time elapsed: 0.212 s
% 8.75/2.06 % (859942)Peak memory usage: 93 MB
% 8.75/2.06 % (859942)Instructions burned: 326 (million)
% 8.75/2.06 % (859951)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1054291028:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.75/2.06 % (859951)Instruction limit reached!
% 8.75/2.06 % (859951)------------------------------
% 8.75/2.06 % (859951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859951)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859951)Termination reason: Instruction limit
% 8.75/2.06 % (859951)Termination phase: Saturation
% 8.75/2.06 % (859951)Time elapsed: 0.041 s
% 8.75/2.06 % (859951)Peak memory usage: 91 MB
% 8.75/2.06 % (859951)Instructions burned: 115 (million)
% 8.75/2.06 % (859953)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1406259375:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.75/2.06 % (859947)------------------------------
% 8.75/2.06 % (859947)------------------------------
% 8.75/2.06 % (859953)Instruction limit reached!
% 8.75/2.06 % (859953)------------------------------
% 8.75/2.06 % (859953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859953)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859953)Termination reason: Instruction limit
% 8.75/2.06 % (859953)Termination phase: Saturation
% 8.75/2.06 % (859953)Time elapsed: 0.065 s
% 8.75/2.06 % (859953)Peak memory usage: 89 MB
% 8.75/2.06 % (859953)Instructions burned: 128 (million)
% 8.75/2.06 % (859955)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2415519883:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.75/2.06 % (859926)First to succeed.
% 8.75/2.06 % (859955)Instruction limit reached!
% 8.75/2.06 % (859955)------------------------------
% 8.75/2.06 % (859955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859955)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859955)Termination reason: Instruction limit
% 8.75/2.06 % (859955)Termination phase: Saturation
% 8.75/2.06 % (859955)Time elapsed: 0.039 s
% 8.75/2.06 % (859955)Peak memory usage: 89 MB
% 8.75/2.06 % (859955)Instructions burned: 116 (million)
% 8.75/2.06 % (859926)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-859921"
% 8.75/2.06 % (859957)lrs+10_1_sil=8000:sp=occurrence:random_seed=2971422304:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.75/2.06 % (859928)Also succeeded, but the first one will report.
% 8.75/2.06 % (859958)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=392487181:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.75/2.06 % (859958)Refutation not found, incomplete strategy
% 8.75/2.06 % (859958)------------------------------
% 8.75/2.06 % (859958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.06 % (859958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.06 % (859958)CaDiCaL version: 2.1.3
% 8.75/2.06 % (859958)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.06 % (859958)Time elapsed: 0.006 s
% 8.75/2.06 % (859958)Peak memory usage: 88 MB
% 8.75/2.06 % (859958)Instructions burned: 7 (million)
% 8.75/2.06 % (859960)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3591278681:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.75/2.06 % (859926)Refutation found. Thanks to Tanya!
% 8.75/2.06 % SZS status Theorem for theBenchmark
% 8.75/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.12/2.26 % (859926)------------------------------
% 9.12/2.26 % (859926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.26 % (859926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.26 % (859926)CaDiCaL version: 2.1.3
% 9.12/2.26 % (859926)Termination reason: Refutation
% 9.12/2.26 % (859926)Time elapsed: 0.780 s
% 9.12/2.26 % (859926)Peak memory usage: 129 MB
% 9.12/2.26 % (859926)Instructions burned: 1160 (million)
% 9.12/2.26 % (859926)------------------------------
% 9.12/2.26 % (859926)------------------------------
% 9.12/2.26 % (859921)Success in time 1.212 s
% 9.12/2.26 % Vampire exiting
%------------------------------------------------------------------------------