%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT297+3 : 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 11:46:39 AM UTC 2026
% Result : Theorem 7.22s 2.74s
% Output : Refutation 9.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 129 ( 15 unt; 5 def)
% Number of atoms : 758 ( 0 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 1016 ( 387 ~; 488 |; 101 &)
% ( 18 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 134 ( 0 sgn 116 !; 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(f8580,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(f12268,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(f12270,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(f13588,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(f13589,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)],[f13588]) ).
fof(f13602,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,[],[f13589]) ).
fof(f13603,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,[],[f13602]) ).
fof(f13612,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(f13613,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f13612]) ).
fof(f13624,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,[],[f12270]) ).
fof(f13625,plain,
! [X0] :
( ! [X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13624]) ).
fof(f13628,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,[],[f12268]) ).
fof(f13629,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,[],[f13628]) ).
fof(f13634,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,[],[f8580]) ).
fof(f13635,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,[],[f13634]) ).
fof(f13670,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f13685,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,[],[f13603]) ).
fof(f13686,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,[],[f13685]) ).
fof(f13687,plain,
( ~ m2_lattice4(sK2,sK1)
& ! [X2] :
( ! [X3] :
( ( ( ( r2_hidden(X2,sK2)
& r2_hidden(X3,sK2) )
| ~ r2_hidden(k4_lattices(sK1,X2,X3),sK2) )
& ( r2_hidden(k4_lattices(sK1,X2,X3),sK2)
| ~ r2_hidden(X2,sK2)
| ~ r2_hidden(X3,sK2) ) )
| ~ m1_subset_1(X3,u1_struct_0(sK1)) )
| ~ m1_subset_1(X2,u1_struct_0(sK1)) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f13686]) ).
fof(f13701,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,[],[f13629]) ).
fof(f13702,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,[],[f13701]) ).
fof(f13703,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))],[f13702]) ).
fof(f13712,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,[],[f13635]) ).
fof(f13713,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,[],[f13712]) ).
fof(f13714,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,[],[f13713]) ).
fof(f13715,plain,
! [X0] :
( ! [X1] :
( ( ( m1_filter_0(X1,X0)
| ( ( ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
| ~ r2_hidden(sK18(X0,X1),X1)
| ~ r2_hidden(sK19(X0,X1),X1) )
& ( r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
| ( r2_hidden(sK18(X0,X1),X1)
& r2_hidden(sK19(X0,X1),X1) ) )
& m1_subset_1(sK19(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK18(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,[sK18,sK19]),skolemize(X2,sK18(X0,X1)),skolemize(X3,sK19(X0,X1))],[f13714]) ).
fof(f13729,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f13687]) ).
fof(f13730,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f13687]) ).
fof(f13731,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f13687]) ).
fof(f13732,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f13687]) ).
fof(f13733,plain,
! [X2,X3] :
( r2_hidden(k4_lattices(sK1,X2,X3),sK2)
| ~ r2_hidden(X2,sK2)
| ~ r2_hidden(X3,sK2)
| ~ m1_subset_1(X3,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f13687]) ).
fof(f13734,plain,
! [X2,X3] :
( ~ r2_hidden(k4_lattices(sK1,X2,X3),sK2)
| r2_hidden(X3,sK2)
| ~ m1_subset_1(X3,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f13687]) ).
fof(f13735,plain,
! [X2,X3] :
( ~ r2_hidden(k4_lattices(sK1,X2,X3),sK2)
| r2_hidden(X2,sK2)
| ~ m1_subset_1(X3,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f13687]) ).
fof(f13736,plain,
~ m2_lattice4(sK2,sK1),
inference(cnf_transformation,[],[f13687]) ).
fof(f13748,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f13613]) ).
fof(f13760,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13625]) ).
fof(f13766,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK12(X0,X1),X1)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13703]) ).
fof(f13787,plain,
! [X0,X1] :
( m1_subset_1(sK18(X0,X1),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(cnf_transformation,[],[f13715]) ).
fof(f13788,plain,
! [X0,X1] :
( m1_subset_1(sK19(X0,X1),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(cnf_transformation,[],[f13715]) ).
fof(f13789,plain,
! [X0,X1] :
( r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
| m1_filter_0(X1,X0)
| r2_hidden(sK19(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,[],[f13715]) ).
fof(f13790,plain,
! [X0,X1] :
( r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
| m1_filter_0(X1,X0)
| r2_hidden(sK18(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,[],[f13715]) ).
fof(f13791,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
| ~ r2_hidden(sK18(X0,X1),X1)
| ~ r2_hidden(sK19(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,[],[f13715]) ).
fof(f13835,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f13670]) ).
fof(f13854,plain,
! [X0,X1] :
( ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
| m1_filter_0(X1,X0)
| ~ r2_hidden(sK18(X0,X1),X1)
| ~ r2_hidden(sK19(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(forward_subsumption_resolution,[],[f13791,f13835]) ).
fof(f14218,plain,
( r2_hidden(sK12(sK1,sK2),sK2)
| m2_lattice4(sK2,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f13766,f13732]) ).
fof(f14230,plain,
( r2_hidden(sK12(sK1,sK2),sK2)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f14218,f13736]) ).
fof(f14233,plain,
( r2_hidden(sK12(sK1,sK2),sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f14230,f13731]) ).
fof(f14236,plain,
( r2_hidden(sK12(sK1,sK2),sK2)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f14233,f13730]) ).
fof(f14246,plain,
r2_hidden(sK12(sK1,sK2),sK2),
inference(forward_subsumption_resolution,[],[f14236,f13729]) ).
fof(f14254,plain,
~ v1_xboole_0(sK2),
inference(resolution,[],[f14246,f13835]) ).
fof(f14426,definition,
( spl33_18
<=> m1_filter_0(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f14427,plain,
( ~ m1_filter_0(sK2,sK1)
| spl33_18 ),
inference(avatar_component_clause,[],[f14426]) ).
fof(f14428,plain,
( m1_filter_0(sK2,sK1)
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f14426]) ).
fof(f14800,plain,
( m1_filter_0(sK2,sK1)
| r2_hidden(sK19(sK1,sK2),sK2)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1)) ),
inference(resolution,[],[f13789,f13734]) ).
fof(f14827,plain,
( m1_filter_0(sK2,sK1)
| r2_hidden(sK19(sK1,sK2),sK2)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1)) ),
inference(duplicate_literal_removal,[],[f14800]) ).
fof(f14893,plain,
( r2_hidden(sK19(sK1,sK2),sK2)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f14827,f14427]) ).
fof(f14896,plain,
( r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f14893,f14254]) ).
fof(f14898,plain,
( r2_hidden(sK19(sK1,sK2),sK2)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f14896,f13732]) ).
fof(f14900,plain,
( r2_hidden(sK19(sK1,sK2),sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f14898,f13731]) ).
fof(f14902,plain,
( r2_hidden(sK19(sK1,sK2),sK2)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f14900,f13730]) ).
fof(f14904,plain,
( r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f14902,f13729]) ).
fof(f14907,definition,
( spl33_47
<=> m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl33_47])],[avatar_definition]) ).
fof(f14908,plain,
( m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| ~ spl33_47 ),
inference(avatar_component_clause,[],[f14907]) ).
fof(f14909,plain,
( ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_47 ),
inference(avatar_component_clause,[],[f14907]) ).
fof(f14911,definition,
( spl33_48
<=> m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl33_48])],[avatar_definition]) ).
fof(f14912,plain,
( m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ spl33_48 ),
inference(avatar_component_clause,[],[f14911]) ).
fof(f14913,plain,
( ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| spl33_48 ),
inference(avatar_component_clause,[],[f14911]) ).
fof(f14915,definition,
( spl33_49
<=> r2_hidden(sK19(sK1,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl33_49])],[avatar_definition]) ).
fof(f14918,plain,
( ~ spl33_47
| ~ spl33_48
| spl33_49
| spl33_18 ),
inference(avatar_split_clause,[],[f14904,f14426,f14915,f14911,f14907]) ).
fof(f14920,definition,
( spl33_50
<=> r2_hidden(sK18(sK1,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl33_50])],[avatar_definition]) ).
fof(f14921,plain,
( ~ r2_hidden(sK18(sK1,sK2),sK2)
| spl33_50 ),
inference(avatar_component_clause,[],[f14920]) ).
fof(f14928,plain,
( m1_filter_0(sK2,sK1)
| r2_hidden(sK18(sK1,sK2),sK2)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| r2_hidden(sK18(sK1,sK2),sK2)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1)) ),
inference(resolution,[],[f13790,f13735]) ).
fof(f14954,plain,
( m1_filter_0(sK2,sK1)
| r2_hidden(sK18(sK1,sK2),sK2)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1)) ),
inference(duplicate_literal_removal,[],[f14928]) ).
fof(f15488,plain,
( m1_filter_0(sK2,sK1)
| ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1)) ),
inference(resolution,[],[f13854,f13733]) ).
fof(f15498,plain,
( m1_filter_0(sK2,sK1)
| ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1)) ),
inference(duplicate_literal_removal,[],[f15488]) ).
fof(f15500,plain,
( m1_filter_0(sK2,sK1)
| ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f15498,f13748]) ).
fof(f15502,plain,
( m1_filter_0(sK2,sK1)
| ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f15500,f13748]) ).
fof(f15504,plain,
( ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f15502,f14427]) ).
fof(f15505,plain,
( ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f15504,f13732]) ).
fof(f15506,plain,
( ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f15505,f13731]) ).
fof(f15507,plain,
( ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| ~ l3_lattices(sK1)
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f15506,f13730]) ).
fof(f15508,plain,
( ~ r2_hidden(sK18(sK1,sK2),sK2)
| ~ r2_hidden(sK19(sK1,sK2),sK2)
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f15507,f13729]) ).
fof(f15509,plain,
( ~ spl33_49
| ~ spl33_50
| spl33_18 ),
inference(avatar_split_clause,[],[f15508,f14426,f14920,f14915]) ).
fof(f15536,plain,
( m1_filter_0(sK2,sK1)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_47 ),
inference(resolution,[],[f14909,f13787]) ).
fof(f15540,plain,
( v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_47 ),
inference(forward_subsumption_resolution,[],[f15536,f14427]) ).
fof(f15541,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_47 ),
inference(forward_subsumption_resolution,[],[f15540,f14254]) ).
fof(f15542,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_47 ),
inference(forward_subsumption_resolution,[],[f15541,f13732]) ).
fof(f15543,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_47 ),
inference(forward_subsumption_resolution,[],[f15542,f13731]) ).
fof(f15544,plain,
( ~ l3_lattices(sK1)
| spl33_18
| spl33_47 ),
inference(forward_subsumption_resolution,[],[f15543,f13730]) ).
fof(f15545,plain,
( $false
| spl33_18
| spl33_47 ),
inference(forward_subsumption_resolution,[],[f15544,f13729]) ).
fof(f15546,plain,
( spl33_18
| spl33_47 ),
inference(avatar_contradiction_clause,[],[f15545]) ).
fof(f15549,plain,
( m2_lattice4(sK2,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ spl33_18 ),
inference(resolution,[],[f14428,f13760]) ).
fof(f15551,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ spl33_18 ),
inference(forward_subsumption_resolution,[],[f15549,f13736]) ).
fof(f15553,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ spl33_18 ),
inference(forward_subsumption_resolution,[],[f15551,f13731]) ).
fof(f15555,plain,
( ~ l3_lattices(sK1)
| ~ spl33_18 ),
inference(forward_subsumption_resolution,[],[f15553,f13730]) ).
fof(f15557,plain,
( $false
| ~ spl33_18 ),
inference(forward_subsumption_resolution,[],[f15555,f13729]) ).
fof(f15558,plain,
~ spl33_18,
inference(avatar_contradiction_clause,[],[f15557]) ).
fof(f15867,plain,
( m1_filter_0(sK2,sK1)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_48 ),
inference(resolution,[],[f14913,f13788]) ).
fof(f15870,plain,
( v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f15867,f14427]) ).
fof(f15871,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f15870,f14254]) ).
fof(f15872,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f15871,f13732]) ).
fof(f15873,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl33_18
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f15872,f13731]) ).
fof(f15874,plain,
( ~ l3_lattices(sK1)
| spl33_18
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f15873,f13730]) ).
fof(f15875,plain,
( $false
| spl33_18
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f15874,f13729]) ).
fof(f15876,plain,
( spl33_18
| spl33_48 ),
inference(avatar_contradiction_clause,[],[f15875]) ).
fof(f15877,plain,
( r2_hidden(sK18(sK1,sK2),sK2)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f14954,f14427]) ).
fof(f15878,plain,
( v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15877,f14921]) ).
fof(f15879,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15878,f14254]) ).
fof(f15880,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15879,f13732]) ).
fof(f15881,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15880,f13731]) ).
fof(f15882,plain,
( ~ l3_lattices(sK1)
| ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15881,f13730]) ).
fof(f15883,plain,
( ~ m1_subset_1(sK19(sK1,sK2),u1_struct_0(sK1))
| ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15882,f13729]) ).
fof(f15884,plain,
( ~ m1_subset_1(sK18(sK1,sK2),u1_struct_0(sK1))
| spl33_18
| ~ spl33_48
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15883,f14912]) ).
fof(f15885,plain,
( $false
| spl33_18
| ~ spl33_47
| ~ spl33_48
| spl33_50 ),
inference(forward_subsumption_resolution,[],[f15884,f14908]) ).
fof(f15886,plain,
( spl33_18
| ~ spl33_47
| ~ spl33_48
| spl33_50 ),
inference(avatar_contradiction_clause,[],[f15885]) ).
cnf(s31,plain,
( spl33_18
| ~ spl33_47
| ~ spl33_48
| spl33_49 ),
inference(sat_conversion,[],[f14918]) ).
cnf(s35,plain,
( spl33_18
| ~ spl33_49
| ~ spl33_50 ),
inference(sat_conversion,[],[f15509]) ).
cnf(s37,plain,
( spl33_18
| spl33_47 ),
inference(sat_conversion,[],[f15546]) ).
cnf(s38,plain,
~ spl33_18,
inference(sat_conversion,[],[f15558]) ).
cnf(s59,plain,
( spl33_18
| spl33_48 ),
inference(sat_conversion,[],[f15876]) ).
cnf(s60,plain,
( spl33_18
| ~ spl33_47
| ~ spl33_48
| spl33_50 ),
inference(sat_conversion,[],[f15886]) ).
cnf(s61,plain,
spl33_48,
inference(rat,[],[s59,s38]) ).
cnf(s62,plain,
spl33_47,
inference(rat,[],[s37,s38]) ).
cnf(s63,plain,
spl33_50,
inference(rat,[],[s60,s61,s38,s62]) ).
cnf(s64,plain,
~ spl33_49,
inference(rat,[],[s35,s63,s38]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s31,s64,s61,s62,s38]) ).
fof(f15887,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT297+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:20:48 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 7.22/2.74 % (862218)Detected formulas, will run a generic FOF schedule.
% 7.22/2.74 % (862295)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=1873658574:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 7.22/2.74 % (862294)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=3459846882:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 7.22/2.74 % (862296)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=3645313799:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 7.22/2.74 % (862298)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4279159288:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 7.22/2.74 % (862299)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3156968654:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 7.22/2.74 % (862300)dis-21_1_sil=8000:lcm=predicate:random_seed=1230484644:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 7.22/2.74 % (862297)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=163236225:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 7.22/2.74 % (862299)Instruction limit reached!
% 7.22/2.74 % (862299)------------------------------
% 7.22/2.74 % (862299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.74 % (862299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.74 % (862299)CaDiCaL version: 2.1.3
% 7.22/2.74 % (862299)Termination reason: Instruction limit
% 7.22/2.74 % (862299)Termination phase: Property scanning
% 7.22/2.74 % (862299)Time elapsed: 0.098 s
% 7.22/2.74 % (862299)Peak memory usage: 102 MB
% 7.22/2.74 % (862299)Instructions burned: 139 (million)
% 7.22/2.74 % (862298)Instruction limit reached!
% 7.22/2.74 % (862298)------------------------------
% 7.22/2.74 % (862298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.74 % (862298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.74 % (862298)CaDiCaL version: 2.1.3
% 7.22/2.74 % (862298)Termination reason: Instruction limit
% 7.22/2.74 % (862298)Termination phase: Saturation
% 7.22/2.74 % (862298)Time elapsed: 0.126 s
% 7.22/2.74 % (862298)Peak memory usage: 105 MB
% 7.22/2.74 % (862298)Instructions burned: 120 (million)
% 7.22/2.74 % (862297)Instruction limit reached!
% 7.22/2.74 % (862297)------------------------------
% 7.22/2.74 % (862297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.74 % (862297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.74 % (862297)CaDiCaL version: 2.1.3
% 7.22/2.74 % (862297)Termination reason: Instruction limit
% 7.22/2.74 % (862297)Termination phase: Saturation
% 7.22/2.74 % (862297)Time elapsed: 0.125 s
% 7.22/2.74 % (862297)Peak memory usage: 107 MB
% 7.22/2.74 % (862297)Instructions burned: 109 (million)
% 7.22/2.74 % (862300)Instruction limit reached!
% 7.22/2.74 % (862300)------------------------------
% 7.22/2.74 % (862300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.74 % (862300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.74 % (862300)CaDiCaL version: 2.1.3
% 7.22/2.74 % (862300)Termination reason: Instruction limit
% 7.22/2.74 % (862300)Termination phase: Preprocessing 1
% 7.22/2.74 % (862300)Time elapsed: 0.145 s
% 7.22/2.74 % (862300)Peak memory usage: 103 MB
% 7.22/2.74 % (862300)Instructions burned: 129 (million)
% 7.22/2.74 % (862322)lrs+10_1_sil=8000:sp=occurrence:random_seed=3458150474:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 7.22/2.74 % (862326)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=3388089067:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 7.22/2.74 % (862325)lrs+1011_1_sil=32000:sp=occurrence:random_seed=877120267:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 7.22/2.74 % (862323)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3293579826:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 7.22/2.74 % (862326)Instruction limit reached!
% 7.22/2.74 % (862326)------------------------------
% 7.22/2.74 % (862326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.74 % (862326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.74 % (862326)CaDiCaL version: 2.1.3
% 7.22/2.74 % (862326)Termination reason: Instruction limit
% 7.22/2.74 % (862326)Termination phase: SInE selection
% 7.22/2.74 % (862326)Time elapsed: 0.161 s
% 7.22/2.74 % (862326)Peak memory usage: 103 MB
% 7.22/2.74 % (862326)Instructions burned: 249 (million)
% 7.22/2.74 % (862323)Instruction limit reached!
% 7.22/2.74 % (862323)------------------------------
% 7.22/2.74 % (862323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.74 % (862323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.74 % (862323)CaDiCaL version: 2.1.3
% 7.22/2.74 % (862323)Termination reason: Instruction limit
% 7.22/2.74 % (862323)Termination phase: Property scanning
% 7.22/2.74 % (862323)Time elapsed: 0.129 s
% 7.22/2.74 % (862323)Peak memory usage: 102 MB
% 7.22/2.74 % (862323)Instructions burned: 157 (million)
% 7.22/2.74 % (862322)First to succeed.
% 7.22/2.74 % (862322)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-862218"
% 7.22/2.74 % (862325)Instruction limit reached!
% 7.22/2.74 % (862325)------------------------------
% 7.22/2.74 % (862325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.74 % (862325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.74 % (862325)CaDiCaL version: 2.1.3
% 7.22/2.74 % (862325)Termination reason: Instruction limit
% 7.22/2.74 % (862325)Termination phase: Saturation
% 7.22/2.74 % (862325)Time elapsed: 0.344 s
% 7.22/2.74 % (862325)Peak memory usage: 110 MB
% 7.22/2.74 % (862325)Instructions burned: 325 (million)
% 7.22/2.74 % (862341)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2411541556:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 7.22/2.74 % (862342)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3259847393:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 7.22/2.74 % (862322)Refutation found. Thanks to Tanya!
% 7.22/2.74 % SZS status Theorem for theBenchmark
% 7.22/2.74 % SZS output start Proof for theBenchmark
% See solution above
% 9.61/3.00 % (862322)------------------------------
% 9.61/3.00 % (862322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/3.00 % (862322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/3.00 % (862322)CaDiCaL version: 2.1.3
% 9.61/3.00 % (862322)Termination reason: Refutation
% 9.61/3.00 % (862322)Time elapsed: 0.240 s
% 9.61/3.00 % (862322)Peak memory usage: 109 MB
% 9.61/3.00 % (862322)Instructions burned: 224 (million)
% 9.61/3.00 % (862322)------------------------------
% 9.61/3.00 % (862322)------------------------------
% 9.61/3.00 % (862218)Success in time 1.872 s
% 9.61/3.00 % Vampire exiting
%------------------------------------------------------------------------------