%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT297+4 : 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 : n019.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 11:46:39 AM UTC 2026
% Result : Theorem 14.55s 5.02s
% Output : Refutation 16.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 154 ( 27 unt; 12 def)
% Number of atoms : 976 ( 0 equ)
% Maximal formula atoms : 23 ( 6 avg)
% Number of connectives : 1337 ( 515 ~; 674 |; 101 &)
% ( 25 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 153 ( 0 sgn 135 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f21507,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( m1_filter_0(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) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_filter_0) ).
fof(f31936,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(f31938,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> m2_lattice4(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_lattice4) ).
fof(f34663,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(f34664,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)],[f34663]) ).
fof(f34820,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,[],[f34664]) ).
fof(f34821,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,[],[f34820]) ).
fof(f34828,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f34833,plain,
! [X0] :
( ! [X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31938]) ).
fof(f34834,plain,
! [X0] :
( ! [X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34833]) ).
fof(f34837,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,[],[f31936]) ).
fof(f34838,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,[],[f34837]) ).
fof(f34853,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_0(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)) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21507]) ).
fof(f34854,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_0(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)) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34853]) ).
fof(f34857,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f34858,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f34857]) ).
fof(f35259,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,[],[f34821]) ).
fof(f35260,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,[],[f35259]) ).
fof(f35261,plain,
( ~ m2_lattice4(sK5,sK4)
& ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,sK5)
& r2_hidden(X3,sK5) )
| ~ r2_hidden(k4_lattices(sK4,X2,X3),sK5) )
& ( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5) ) )
| ~ m1_subset_1(X3,u1_struct_0(sK4)) )
| ~ m1_subset_1(X2,u1_struct_0(sK4)) )
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
& ~ v3_struct_0(sK4)
& v10_lattices(sK4)
& l3_lattices(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f35260]) ).
fof(f35268,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,[],[f34838]) ).
fof(f35269,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,[],[f35268]) ).
fof(f35270,plain,
! [X0] :
( ! [X1] :
( ( ( m2_lattice4(X1,X0)
| ( ( ~ r2_hidden(k4_lattices(X0,sK11(X0,X1),sK12(X0,X1)),X1)
| ~ r2_hidden(k3_lattices(X0,sK11(X0,X1),sK12(X0,X1)),X1) )
& r2_hidden(sK11(X0,X1),X1)
& r2_hidden(sK12(X0,X1),X1)
& m1_subset_1(sK12(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK11(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,[sK11,sK12]),skolemize(X2,sK11(X0,X1)),skolemize(X3,sK12(X0,X1))],[f35269]) ).
fof(f35278,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(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)) ) )
& ( ! [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_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f34854]) ).
fof(f35279,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(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)) ) )
& ( ! [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_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35278]) ).
fof(f35280,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(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)) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( ( r2_hidden(X4,X1)
& r2_hidden(X5,X1) )
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k4_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)) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f35279]) ).
fof(f35281,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ( ( ~ r2_hidden(k4_lattices(X0,sK20(X0,X1),sK21(X0,X1)),X1)
| ~ r2_hidden(sK20(X0,X1),X1)
| ~ r2_hidden(sK21(X0,X1),X1) )
& ( r2_hidden(k4_lattices(X0,sK20(X0,X1),sK21(X0,X1)),X1)
| ( r2_hidden(sK20(X0,X1),X1)
& r2_hidden(sK21(X0,X1),X1) ) )
& m1_subset_1(sK21(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK20(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( ( r2_hidden(X4,X1)
& r2_hidden(X5,X1) )
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1) )
& ( r2_hidden(k4_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)) )
| ~ m1_filter_0(X1,X0) ) )
| v1_xboole_0(X1)
| ~ 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,[sK20,sK21]),skolemize(X2,sK20(X0,X1)),skolemize(X3,sK21(X0,X1))],[f35280]) ).
fof(f35533,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f35261]) ).
fof(f35534,plain,
v10_lattices(sK4),
inference(cnf_transformation,[],[f35261]) ).
fof(f35535,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f35261]) ).
fof(f35536,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f35261]) ).
fof(f35537,plain,
! [X2,X3] :
( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) ),
inference(cnf_transformation,[],[f35261]) ).
fof(f35538,plain,
! [X2,X3] :
( r2_hidden(X3,sK5)
| ~ r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) ),
inference(cnf_transformation,[],[f35261]) ).
fof(f35539,plain,
! [X2,X3] :
( r2_hidden(X2,sK5)
| ~ r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) ),
inference(cnf_transformation,[],[f35261]) ).
fof(f35540,plain,
~ m2_lattice4(sK5,sK4),
inference(cnf_transformation,[],[f35261]) ).
fof(f35549,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f34828]) ).
fof(f35555,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34834]) ).
fof(f35561,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| r2_hidden(sK12(X0,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35270]) ).
fof(f35603,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| m1_subset_1(sK20(X0,X1),u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35281]) ).
fof(f35604,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| m1_subset_1(sK21(X0,X1),u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35281]) ).
fof(f35605,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| r2_hidden(k4_lattices(X0,sK20(X0,X1),sK21(X0,X1)),X1)
| r2_hidden(sK21(X0,X1),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35281]) ).
fof(f35606,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| r2_hidden(k4_lattices(X0,sK20(X0,X1),sK21(X0,X1)),X1)
| r2_hidden(sK20(X0,X1),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35281]) ).
fof(f35607,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ r2_hidden(k4_lattices(X0,sK20(X0,X1),sK21(X0,X1)),X1)
| ~ r2_hidden(sK20(X0,X1),X1)
| ~ r2_hidden(sK21(X0,X1),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35281]) ).
fof(f35616,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f34858]) ).
fof(f36282,definition,
( spl125_1
<=> v3_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl125_1])],[avatar_definition]) ).
fof(f36284,plain,
( ~ v3_struct_0(sK4)
| spl125_1 ),
inference(avatar_component_clause,[],[f36282]) ).
fof(f36285,plain,
~ spl125_1,
inference(avatar_split_clause,[],[f35535,f36282]) ).
fof(f36287,definition,
( spl125_2
<=> m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) ),
introduced(definition,[new_symbols(definition,[spl125_2])],[avatar_definition]) ).
fof(f36289,plain,
( m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ spl125_2 ),
inference(avatar_component_clause,[],[f36287]) ).
fof(f36290,plain,
spl125_2,
inference(avatar_split_clause,[],[f35536,f36287]) ).
fof(f36301,plain,
( m2_lattice4(sK5,sK4)
| r2_hidden(sK12(sK4,sK5),sK5)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_2 ),
inference(resolution,[],[f36289,f35561]) ).
fof(f36334,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_2 ),
inference(resolution,[],[f36289,f35603]) ).
fof(f36335,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_2 ),
inference(resolution,[],[f36289,f35604]) ).
fof(f36389,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK4))
| ~ r2_hidden(X0,sK5) )
| ~ spl125_2 ),
inference(resolution,[],[f36289,f35616]) ).
fof(f36638,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36335,f36284]) ).
fof(f36639,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36334,f36284]) ).
fof(f36672,plain,
( r2_hidden(sK12(sK4,sK5),sK5)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36301,f35540]) ).
fof(f36721,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36638,f35534]) ).
fof(f36722,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36639,f35534]) ).
fof(f36751,plain,
( r2_hidden(sK12(sK4,sK5),sK5)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36672,f36284]) ).
fof(f36800,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36721,f35533]) ).
fof(f36801,plain,
( m1_filter_0(sK5,sK4)
| m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36722,f35533]) ).
fof(f36830,plain,
( r2_hidden(sK12(sK4,sK5),sK5)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36751,f35534]) ).
fof(f36859,plain,
( r2_hidden(sK12(sK4,sK5),sK5)
| spl125_1
| ~ spl125_2 ),
inference(forward_subsumption_resolution,[],[f36830,f35533]) ).
fof(f36886,definition,
( spl125_5
<=> l3_lattices(sK4) ),
introduced(definition,[new_symbols(definition,[spl125_5])],[avatar_definition]) ).
fof(f36888,plain,
( l3_lattices(sK4)
| ~ spl125_5 ),
inference(avatar_component_clause,[],[f36886]) ).
fof(f36889,plain,
spl125_5,
inference(avatar_split_clause,[],[f35533,f36886]) ).
fof(f38039,definition,
( spl125_6
<=> v10_lattices(sK4) ),
introduced(definition,[new_symbols(definition,[spl125_6])],[avatar_definition]) ).
fof(f38041,plain,
( v10_lattices(sK4)
| ~ spl125_6 ),
inference(avatar_component_clause,[],[f38039]) ).
fof(f38042,plain,
spl125_6,
inference(avatar_split_clause,[],[f35534,f38039]) ).
fof(f38044,definition,
( spl125_7
<=> m2_lattice4(sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl125_7])],[avatar_definition]) ).
fof(f38046,plain,
( ~ m2_lattice4(sK5,sK4)
| spl125_7 ),
inference(avatar_component_clause,[],[f38044]) ).
fof(f38047,plain,
~ spl125_7,
inference(avatar_split_clause,[],[f35540,f38044]) ).
fof(f38050,plain,
( ~ m1_filter_0(sK5,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_7 ),
inference(resolution,[],[f38046,f35555]) ).
fof(f38056,plain,
( ~ m1_filter_0(sK5,sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| spl125_7 ),
inference(forward_subsumption_resolution,[],[f38050,f36284]) ).
fof(f38059,plain,
( ~ m1_filter_0(sK5,sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_6
| spl125_7 ),
inference(forward_subsumption_resolution,[],[f38056,f38041]) ).
fof(f38062,plain,
( ~ m1_filter_0(sK5,sK4)
| spl125_1
| ~ spl125_5
| ~ spl125_6
| spl125_7 ),
inference(forward_subsumption_resolution,[],[f38059,f36888]) ).
fof(f38067,plain,
( m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7 ),
inference(backward_subsumption_resolution,[],[f36800,f38062]) ).
fof(f38068,plain,
( m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7 ),
inference(backward_subsumption_resolution,[],[f36801,f38062]) ).
fof(f38922,definition,
( spl125_8
<=> ! [X2,X3] :
( r2_hidden(X3,sK5)
| ~ r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl125_8])],[avatar_definition]) ).
fof(f38923,plain,
( ! [X2,X3] :
( ~ r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| r2_hidden(X3,sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) )
| ~ spl125_8 ),
inference(avatar_component_clause,[],[f38922]) ).
fof(f38924,plain,
spl125_8,
inference(avatar_split_clause,[],[f35538,f38922]) ).
fof(f38928,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| ~ m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| ~ m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| m1_filter_0(sK5,sK4)
| r2_hidden(sK21(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_8 ),
inference(resolution,[],[f38923,f35605]) ).
fof(f38954,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| ~ m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| ~ m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| m1_filter_0(sK5,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_8 ),
inference(duplicate_literal_removal,[],[f38928]) ).
fof(f38973,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| ~ m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| m1_filter_0(sK5,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8 ),
inference(forward_subsumption_resolution,[],[f38954,f38067]) ).
fof(f38987,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| m1_filter_0(sK5,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8 ),
inference(forward_subsumption_resolution,[],[f38973,f38068]) ).
fof(f38999,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8 ),
inference(forward_subsumption_resolution,[],[f38987,f38062]) ).
fof(f39008,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8 ),
inference(forward_subsumption_resolution,[],[f38999,f36289]) ).
fof(f39012,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8 ),
inference(forward_subsumption_resolution,[],[f39008,f36284]) ).
fof(f39014,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8 ),
inference(forward_subsumption_resolution,[],[f39012,f38041]) ).
fof(f39016,plain,
( r2_hidden(sK21(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8 ),
inference(forward_subsumption_resolution,[],[f39014,f36888]) ).
fof(f39018,definition,
( spl125_9
<=> ! [X2,X3] :
( r2_hidden(X2,sK5)
| ~ r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl125_9])],[avatar_definition]) ).
fof(f39019,plain,
( ! [X2,X3] :
( ~ r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| r2_hidden(X2,sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) )
| ~ spl125_9 ),
inference(avatar_component_clause,[],[f39018]) ).
fof(f39020,plain,
spl125_9,
inference(avatar_split_clause,[],[f35539,f39018]) ).
fof(f39025,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| ~ m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| ~ m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| m1_filter_0(sK5,sK4)
| r2_hidden(sK20(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_9 ),
inference(resolution,[],[f39019,f35606]) ).
fof(f39050,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| ~ m1_subset_1(sK21(sK4,sK5),u1_struct_0(sK4))
| ~ m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| m1_filter_0(sK5,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_9 ),
inference(duplicate_literal_removal,[],[f39025]) ).
fof(f39066,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| ~ m1_subset_1(sK20(sK4,sK5),u1_struct_0(sK4))
| m1_filter_0(sK5,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9 ),
inference(forward_subsumption_resolution,[],[f39050,f38067]) ).
fof(f39076,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| m1_filter_0(sK5,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9 ),
inference(forward_subsumption_resolution,[],[f39066,f38068]) ).
fof(f39084,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9 ),
inference(forward_subsumption_resolution,[],[f39076,f38062]) ).
fof(f39090,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9 ),
inference(forward_subsumption_resolution,[],[f39084,f36289]) ).
fof(f39093,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9 ),
inference(forward_subsumption_resolution,[],[f39090,f36284]) ).
fof(f39094,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9 ),
inference(forward_subsumption_resolution,[],[f39093,f38041]) ).
fof(f39095,plain,
( r2_hidden(sK20(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9 ),
inference(forward_subsumption_resolution,[],[f39094,f36888]) ).
fof(f39097,definition,
( spl125_10
<=> r2_hidden(sK12(sK4,sK5),sK5) ),
introduced(definition,[new_symbols(definition,[spl125_10])],[avatar_definition]) ).
fof(f39099,plain,
( r2_hidden(sK12(sK4,sK5),sK5)
| ~ spl125_10 ),
inference(avatar_component_clause,[],[f39097]) ).
fof(f39100,plain,
( spl125_10
| spl125_1
| ~ spl125_2 ),
inference(avatar_split_clause,[],[f36859,f36287,f36282,f39097]) ).
fof(f39102,definition,
( spl125_11
<=> ! [X2,X3] :
( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl125_11])],[avatar_definition]) ).
fof(f39103,plain,
( ! [X2,X3] :
( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5)
| ~ m1_subset_1(X3,u1_struct_0(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) )
| ~ spl125_11 ),
inference(avatar_component_clause,[],[f39102]) ).
fof(f39104,plain,
spl125_11,
inference(avatar_split_clause,[],[f35537,f39102]) ).
fof(f39105,plain,
( ! [X2,X3] :
( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5)
| ~ m1_subset_1(X2,u1_struct_0(sK4)) )
| ~ spl125_2
| ~ spl125_11 ),
inference(forward_subsumption_resolution,[],[f39103,f36389]) ).
fof(f39106,plain,
( ! [X2,X3] :
( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5) )
| ~ spl125_2
| ~ spl125_11 ),
inference(forward_subsumption_resolution,[],[f39105,f36389]) ).
fof(f39108,definition,
( spl125_12
<=> ! [X2,X3] :
( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl125_12])],[avatar_definition]) ).
fof(f39109,plain,
( ! [X2,X3] :
( r2_hidden(k4_lattices(sK4,X2,X3),sK5)
| ~ r2_hidden(X2,sK5)
| ~ r2_hidden(X3,sK5) )
| ~ spl125_12 ),
inference(avatar_component_clause,[],[f39108]) ).
fof(f39110,plain,
( spl125_12
| ~ spl125_2
| ~ spl125_11 ),
inference(avatar_split_clause,[],[f39106,f39102,f36287,f39108]) ).
fof(f39119,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| m1_filter_0(sK5,sK4)
| ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_12 ),
inference(resolution,[],[f39109,f35607]) ).
fof(f39178,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| m1_filter_0(sK5,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_12 ),
inference(duplicate_literal_removal,[],[f39119]) ).
fof(f39204,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| m1_filter_0(sK5,sK4)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl125_12 ),
inference(forward_subsumption_resolution,[],[f39178,f35549]) ).
fof(f39231,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_12 ),
inference(forward_subsumption_resolution,[],[f39204,f38062]) ).
fof(f39257,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_12 ),
inference(forward_subsumption_resolution,[],[f39231,f36289]) ).
fof(f39275,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_12 ),
inference(forward_subsumption_resolution,[],[f39257,f36284]) ).
fof(f39282,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| ~ l3_lattices(sK4)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_12 ),
inference(forward_subsumption_resolution,[],[f39275,f38041]) ).
fof(f39288,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| ~ r2_hidden(sK21(sK4,sK5),sK5)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_12 ),
inference(forward_subsumption_resolution,[],[f39282,f36888]) ).
fof(f39297,definition,
( spl125_13
<=> r2_hidden(sK21(sK4,sK5),sK5) ),
introduced(definition,[new_symbols(definition,[spl125_13])],[avatar_definition]) ).
fof(f39299,plain,
( ~ r2_hidden(sK21(sK4,sK5),sK5)
| spl125_13 ),
inference(avatar_component_clause,[],[f39297]) ).
fof(f39301,definition,
( spl125_14
<=> r2_hidden(sK20(sK4,sK5),sK5) ),
introduced(definition,[new_symbols(definition,[spl125_14])],[avatar_definition]) ).
fof(f39303,plain,
( ~ r2_hidden(sK20(sK4,sK5),sK5)
| spl125_14 ),
inference(avatar_component_clause,[],[f39301]) ).
fof(f39304,plain,
( ~ spl125_13
| ~ spl125_14
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_12 ),
inference(avatar_split_clause,[],[f39288,f39108,f38044,f38039,f36886,f36287,f36282,f39301,f39297]) ).
fof(f39305,plain,
( v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8
| spl125_13 ),
inference(backward_subsumption_resolution,[],[f39016,f39299]) ).
fof(f39321,plain,
( ~ v1_xboole_0(sK5)
| ~ spl125_10 ),
inference(resolution,[],[f39099,f35549]) ).
fof(f39370,plain,
( $false
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8
| ~ spl125_10
| spl125_13 ),
inference(forward_subsumption_resolution,[],[f39321,f39305]) ).
fof(f39371,plain,
( spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8
| ~ spl125_10
| spl125_13 ),
inference(avatar_contradiction_clause,[],[f39370]) ).
fof(f39412,plain,
( v1_xboole_0(sK5)
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9
| spl125_14 ),
inference(backward_subsumption_resolution,[],[f39095,f39303]) ).
fof(f39492,plain,
( $false
| spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9
| ~ spl125_10
| spl125_14 ),
inference(forward_subsumption_resolution,[],[f39412,f39321]) ).
fof(f39493,plain,
( spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9
| ~ spl125_10
| spl125_14 ),
inference(avatar_contradiction_clause,[],[f39492]) ).
cnf(s1,plain,
~ spl125_1,
inference(sat_conversion,[],[f36285]) ).
cnf(s2,plain,
spl125_2,
inference(sat_conversion,[],[f36290]) ).
cnf(s4,plain,
spl125_5,
inference(sat_conversion,[],[f36889]) ).
cnf(s5,plain,
spl125_6,
inference(sat_conversion,[],[f38042]) ).
cnf(s6,plain,
~ spl125_7,
inference(sat_conversion,[],[f38047]) ).
cnf(s7,plain,
spl125_8,
inference(sat_conversion,[],[f38924]) ).
cnf(s8,plain,
spl125_9,
inference(sat_conversion,[],[f39020]) ).
cnf(s9,plain,
( spl125_1
| ~ spl125_2
| spl125_10 ),
inference(sat_conversion,[],[f39100]) ).
cnf(s10,plain,
spl125_11,
inference(sat_conversion,[],[f39104]) ).
cnf(s11,plain,
( ~ spl125_2
| ~ spl125_11
| spl125_12 ),
inference(sat_conversion,[],[f39110]) ).
cnf(s12,plain,
( spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_12
| ~ spl125_13
| ~ spl125_14 ),
inference(sat_conversion,[],[f39304]) ).
cnf(s13,plain,
( spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_8
| ~ spl125_10
| spl125_13 ),
inference(sat_conversion,[],[f39371]) ).
cnf(s14,plain,
( spl125_1
| ~ spl125_2
| ~ spl125_5
| ~ spl125_6
| spl125_7
| ~ spl125_9
| ~ spl125_10
| spl125_14 ),
inference(sat_conversion,[],[f39493]) ).
cnf(s15,plain,
spl125_12,
inference(rat,[],[s11,s10,s2]) ).
cnf(s16,plain,
spl125_10,
inference(rat,[],[s9,s2,s1]) ).
cnf(s17,plain,
spl125_14,
inference(rat,[],[s14,s1,s2,s8,s6,s5,s4,s16]) ).
cnf(s18,plain,
spl125_13,
inference(rat,[],[s13,s1,s2,s7,s6,s5,s4,s16]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s12,s1,s15,s2,s6,s5,s4,s17,s18]) ).
fof(f39528,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT297+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 % Computer : n019.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8046.5625MB
% 0.11/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Sun Sep 27 14:21:13 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.46 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
% 14.55/5.02 % (3134849)Detected formulas, will run a generic FOF schedule.
% 14.55/5.02 % (3134855)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=1735826305:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 14.55/5.02 % (3134854)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=798625940:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 14.55/5.02 % (3134858)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3759111249:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 14.55/5.02 % (3134860)dis-21_1_sil=8000:lcm=predicate:random_seed=1986400406:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 14.55/5.02 % (3134856)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=1469040233:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 14.55/5.02 % (3134857)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2333147846:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 14.55/5.02 % (3134859)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=300412780:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 14.55/5.02 % (3134859)Instruction limit reached!
% 14.55/5.02 % (3134859)------------------------------
% 14.55/5.02 % (3134859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134859)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134859)Termination reason: Instruction limit
% 14.55/5.02 % (3134859)Termination phase: Property scanning
% 14.55/5.02 % (3134859)Time elapsed: 0.062 s
% 14.55/5.02 % (3134859)Peak memory usage: 136 MB
% 14.55/5.02 % (3134859)Instructions burned: 140 (million)
% 14.55/5.02 % (3134857)Instruction limit reached!
% 14.55/5.02 % (3134857)------------------------------
% 14.55/5.02 % (3134857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134857)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134857)Termination reason: Instruction limit
% 14.55/5.02 % (3134857)Termination phase: SInE selection
% 14.55/5.02 % (3134857)Time elapsed: 0.079 s
% 14.55/5.02 % (3134857)Peak memory usage: 136 MB
% 14.55/5.02 % (3134857)Instructions burned: 110 (million)
% 14.55/5.02 % (3134858)Instruction limit reached!
% 14.55/5.02 % (3134858)------------------------------
% 14.55/5.02 % (3134858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134858)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134858)Termination reason: Instruction limit
% 14.55/5.02 % (3134858)Termination phase: SInE selection
% 14.55/5.02 % (3134858)Time elapsed: 0.084 s
% 14.55/5.02 % (3134858)Peak memory usage: 136 MB
% 14.55/5.02 % (3134858)Instructions burned: 119 (million)
% 14.55/5.02 % (3134860)Instruction limit reached!
% 14.55/5.02 % (3134860)------------------------------
% 14.55/5.02 % (3134860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134860)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134860)Termination reason: Instruction limit
% 14.55/5.02 % (3134860)Termination phase: SInE selection
% 14.55/5.02 % (3134860)Time elapsed: 0.089 s
% 14.55/5.02 % (3134860)Peak memory usage: 136 MB
% 14.55/5.02 % (3134860)Instructions burned: 131 (million)
% 14.55/5.02 % (3134868)lrs+10_1_sil=8000:sp=occurrence:random_seed=4006517658:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 14.55/5.02 % (3134869)lrs+10_1_sil=32000:urr=on:br=off:random_seed=454740420:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 14.55/5.02 % (3134870)lrs+1011_1_sil=32000:sp=occurrence:random_seed=381737700:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 14.55/5.02 % (3134871)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=440145169:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 14.55/5.02 % (3134869)Instruction limit reached!
% 14.55/5.02 % (3134869)------------------------------
% 14.55/5.02 % (3134869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134869)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134869)Termination reason: Instruction limit
% 14.55/5.02 % (3134869)Termination phase: Property scanning
% 14.55/5.02 % (3134869)Time elapsed: 0.069 s
% 14.55/5.02 % (3134869)Peak memory usage: 136 MB
% 14.55/5.02 % (3134869)Instructions burned: 159 (million)
% 14.55/5.02 % (3134871)Instruction limit reached!
% 14.55/5.02 % (3134871)------------------------------
% 14.55/5.02 % (3134871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134871)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134871)Termination reason: Instruction limit
% 14.55/5.02 % (3134871)Termination phase: Property scanning
% 14.55/5.02 % (3134871)Time elapsed: 0.109 s
% 14.55/5.02 % (3134871)Peak memory usage: 136 MB
% 14.55/5.02 % (3134871)Instructions burned: 250 (million)
% 14.55/5.02 % (3134868)Instruction limit reached!
% 14.55/5.02 % (3134868)------------------------------
% 14.55/5.02 % (3134868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134868)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134868)Termination reason: Instruction limit
% 14.55/5.02 % (3134868)Termination phase: Saturation
% 14.55/5.02 % (3134868)Time elapsed: 0.232 s
% 14.55/5.02 % (3134868)Peak memory usage: 142 MB
% 14.55/5.02 % (3134868)Instructions burned: 288 (million)
% 14.55/5.02 % (3134876)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1087260869:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 14.55/5.02 % (3134870)Instruction limit reached!
% 14.55/5.02 % (3134870)------------------------------
% 14.55/5.02 % (3134870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134870)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134870)Termination reason: Instruction limit
% 14.55/5.02 % (3134870)Termination phase: Saturation
% 14.55/5.02 % (3134870)Time elapsed: 0.258 s
% 14.55/5.02 % (3134870)Peak memory usage: 142 MB
% 14.55/5.02 % (3134870)Instructions burned: 325 (million)
% 14.55/5.02 % (3134877)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=132985615:i=2350_2972 on theBenchmark for (2972ds/2350Mi)
% 14.55/5.02 % (3134878)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1357472193:cts=off:i=113:fsr=off:ss=included:sgt=4_2971 on theBenchmark for (2971ds/113Mi)
% 14.55/5.02 % (3134876)Instruction limit reached!
% 14.55/5.02 % (3134876)------------------------------
% 14.55/5.02 % (3134876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134876)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134876)Termination reason: Instruction limit
% 14.55/5.02 % (3134876)Termination phase: SInE selection
% 14.55/5.02 % (3134876)Time elapsed: 0.182 s
% 14.55/5.02 % (3134876)Peak memory usage: 137 MB
% 14.55/5.02 % (3134876)Instructions burned: 294 (million)
% 14.55/5.02 % (3134881)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2231022427:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 14.55/5.02 % (3134878)Instruction limit reached!
% 14.55/5.02 % (3134878)------------------------------
% 14.55/5.02 % (3134878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134878)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134878)Termination reason: Instruction limit
% 14.55/5.02 % (3134878)Termination phase: SInE selection
% 14.55/5.02 % (3134878)Time elapsed: 0.086 s
% 14.55/5.02 % (3134878)Peak memory usage: 136 MB
% 14.55/5.02 % (3134878)Instructions burned: 114 (million)
% 14.55/5.02 % (3134881)Instruction limit reached!
% 14.55/5.02 % (3134881)------------------------------
% 14.55/5.02 % (3134881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134881)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134881)Termination reason: Instruction limit
% 14.55/5.02 % (3134881)Termination phase: Preprocessing 1
% 14.55/5.02 % (3134881)Time elapsed: 0.095 s
% 14.55/5.02 % (3134881)Peak memory usage: 137 MB
% 14.55/5.02 % (3134881)Instructions burned: 128 (million)
% 14.55/5.02 % (3134883)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=728056996:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 14.55/5.02 % (3134885)lrs+10_1_sil=8000:sp=occurrence:random_seed=2013629480:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 14.55/5.02 % (3134883)Instruction limit reached!
% 14.55/5.02 % (3134883)------------------------------
% 14.55/5.02 % (3134883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134883)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134883)Termination reason: Instruction limit
% 14.55/5.02 % (3134883)Termination phase: Property scanning
% 14.55/5.02 % (3134883)Time elapsed: 0.053 s
% 14.55/5.02 % (3134883)Peak memory usage: 136 MB
% 14.55/5.02 % (3134883)Instructions burned: 116 (million)
% 14.55/5.02 % (3134886)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3543684432:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 14.55/5.02 % (3134889)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1292803682:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 14.55/5.02 % (3134886)Instruction limit reached!
% 14.55/5.02 % (3134886)------------------------------
% 14.55/5.02 % (3134886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134886)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134886)Termination reason: Instruction limit
% 14.55/5.02 % (3134886)Termination phase: Saturation
% 14.55/5.02 % (3134886)Time elapsed: 0.297 s
% 14.55/5.02 % (3134886)Peak memory usage: 143 MB
% 14.55/5.02 % (3134886)Instructions burned: 438 (million)
% 14.55/5.02 % (3134892)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1609373087:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2964 on theBenchmark for (2964ds/134Mi)
% 14.55/5.02 % (3134856)First to succeed.
% 14.55/5.02 % (3134856)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3134849"
% 14.55/5.02 % (3134885)Instruction limit reached!
% 14.55/5.02 % (3134885)------------------------------
% 14.55/5.02 % (3134885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134885)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134885)Termination reason: Instruction limit
% 14.55/5.02 % (3134885)Termination phase: Saturation
% 14.55/5.02 % (3134885)Time elapsed: 0.610 s
% 14.55/5.02 % (3134885)Peak memory usage: 150 MB
% 14.55/5.02 % (3134885)Instructions burned: 908 (million)
% 14.55/5.02 % (3134892)Instruction limit reached!
% 14.55/5.02 % (3134892)------------------------------
% 14.55/5.02 % (3134892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/5.02 % (3134892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/5.02 % (3134892)CaDiCaL version: 2.1.3
% 14.55/5.02 % (3134892)Termination reason: Instruction limit
% 14.55/5.02 % (3134892)Termination phase: SInE selection
% 14.55/5.02 % (3134892)Time elapsed: 0.105 s
% 14.55/5.02 % (3134892)Peak memory usage: 136 MB
% 14.55/5.02 % (3134892)Instructions burned: 134 (million)
% 14.55/5.02 % (3134894)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1505960025:st=8:i=592:sd=3:ep=RST:ss=axioms_2961 on theBenchmark for (2961ds/592Mi)
% 14.55/5.02 % (3134895)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2890172469:st=3:i=13193:sd=3:ss=axioms_2961 on theBenchmark for (2961ds/13193Mi)
% 14.55/5.02 % (3134856)Refutation found. Thanks to Tanya!
% 14.55/5.02 % SZS status Theorem for theBenchmark
% 14.55/5.02 % SZS output start Proof for theBenchmark
% See solution above
% 16.58/5.27 % (3134856)------------------------------
% 16.58/5.27 % (3134856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/5.27 % (3134856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/5.27 % (3134856)CaDiCaL version: 2.1.3
% 16.58/5.27 % (3134856)Termination reason: Refutation
% 16.58/5.27 % (3134856)Time elapsed: 1.460 s
% 16.58/5.27 % (3134856)Peak memory usage: 193 MB
% 16.58/5.27 % (3134856)Instructions burned: 2220 (million)
% 16.58/5.27 % (3134856)------------------------------
% 16.58/5.27 % (3134856)------------------------------
% 16.58/5.27 % (3134849)Success in time 4.123 s
% 16.58/5.27 % Vampire exiting
%------------------------------------------------------------------------------