%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT310+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:47 AM UTC 2026
% Result : Theorem 1.73s 1.20s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 7
% Syntax : Number of formulae : 105 ( 17 unt; 0 def)
% Number of atoms : 541 ( 13 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 773 ( 337 ~; 336 |; 76 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 119 ( 108 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) )
& r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
fof(f2,negated_conjecture,
~ ! [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))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) )
& r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,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))) )
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f36,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f46,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f36]) ).
fof(f47,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) )
| ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f2]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) )
| ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f47]) ).
fof(f54,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,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,[],[f7]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,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,[],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f59,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f62]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
( ( ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
& r1_tarski(sK2,sK3) )
| ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1)) )
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f48]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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,[],[f57]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ( ~ r1_tarski(X2,sK7(X0,X1,X2))
& r1_tarski(X1,sK7(X0,X1,X2))
& m2_filter_2(sK7(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f77]) ).
fof(f89,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f90,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f91,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f92,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f71]) ).
fof(f93,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f94,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f71]) ).
fof(f95,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f71]) ).
fof(f96,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f71]) ).
fof(f97,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f71]) ).
fof(f98,plain,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| r1_tarski(sK2,sK3) ),
inference(cnf_transformation,[],[f71]) ).
fof(f99,plain,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f55]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| k19_filter_2(X0,X1) != X2
| ~ m2_filter_2(X2,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,[],[f78]) ).
fof(f110,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| k19_filter_2(X0,X1) != X2
| ~ m2_filter_2(X2,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,[],[f78]) ).
fof(f120,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f121,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f126,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f127,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f132,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f133,plain,
! [X0,X1] :
( r1_tarski(X1,k19_filter_2(X0,X1))
| ~ m2_filter_2(k19_filter_2(X0,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(equality_resolution,[],[f110]) ).
fof(f134,plain,
! [X0,X1,X4] :
( r1_tarski(k19_filter_2(X0,X1),X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| ~ m2_filter_2(k19_filter_2(X0,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(equality_resolution,[],[f109]) ).
fof(f208,plain,
! [X0,X1] :
( r1_tarski(X1,k19_filter_2(X0,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(forward_subsumption_resolution,[],[f133,f108]) ).
fof(f223,plain,
! [X0,X1,X4] :
( r1_tarski(k19_filter_2(X0,X1),X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,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(forward_subsumption_resolution,[],[f134,f108]) ).
fof(f244,plain,
( ~ r1_tarski(k19_filter_2(sK0,sK1),k19_filter_2(sK0,sK1))
| ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| v1_xboole_0(k19_filter_2(sK0,sK1))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(resolution,[],[f223,f99]) ).
fof(f245,plain,
( ~ r1_tarski(k19_filter_2(sK0,sK1),k19_filter_2(sK0,sK1))
| ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| v1_xboole_0(k19_filter_2(sK0,sK1))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| r1_tarski(sK2,sK3) ),
inference(resolution,[],[f223,f98]) ).
fof(f284,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| v1_xboole_0(k19_filter_2(sK0,sK1))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| r1_tarski(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f245,f121]) ).
fof(f285,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| v1_xboole_0(k19_filter_2(sK0,sK1))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f244,f121]) ).
fof(f306,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| r1_tarski(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f284,f127]) ).
fof(f307,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f285,f127]) ).
fof(f328,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| r1_tarski(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f306,f91]) ).
fof(f329,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f307,f91]) ).
fof(f336,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| r1_tarski(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f328,f90]) ).
fof(f337,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f329,f90]) ).
fof(f344,plain,
( ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| r1_tarski(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f336,f89]) ).
fof(f345,plain,
( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f337,f89]) ).
fof(f347,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| r1_tarski(sK2,sK3)
| ~ m2_lattice4(k19_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f344,f132]) ).
fof(f349,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| r1_tarski(sK2,sK3)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f347,f126]) ).
fof(f350,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| r1_tarski(sK2,sK3)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f349,f91]) ).
fof(f351,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| r1_tarski(sK2,sK3)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f350,f90]) ).
fof(f352,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| r1_tarski(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f351,f89]) ).
fof(f355,plain,
( r1_tarski(sK2,sK3)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f352,f108]) ).
fof(f356,plain,
( r1_tarski(sK2,sK3)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f355,f91]) ).
fof(f357,plain,
( r1_tarski(sK2,sK3)
| ~ l3_lattices(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f356,f90]) ).
fof(f358,plain,
( r1_tarski(sK2,sK3)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f357,f89]) ).
fof(f359,plain,
( r1_tarski(sK2,sK3)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f358,f93]) ).
fof(f360,plain,
r1_tarski(sK2,sK3),
inference(forward_subsumption_resolution,[],[f359,f92]) ).
fof(f380,plain,
! [X0] :
( ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3)) ),
inference(resolution,[],[f345,f120]) ).
fof(f401,plain,
! [X0] :
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| ~ m2_lattice4(k19_filter_2(sK0,sK1),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f380,f132]) ).
fof(f403,plain,
! [X0] :
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f401,f126]) ).
fof(f404,plain,
! [X0] :
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f403,f91]) ).
fof(f405,plain,
! [X0] :
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f404,f90]) ).
fof(f406,plain,
! [X0] :
( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
| ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f405,f89]) ).
fof(f407,plain,
! [X0] :
( ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f406,f108]) ).
fof(f408,plain,
! [X0] :
( ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f407,f91]) ).
fof(f409,plain,
! [X0] :
( ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| ~ l3_lattices(sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f408,f90]) ).
fof(f410,plain,
! [X0] :
( ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f409,f89]) ).
fof(f411,plain,
! [X0] :
( ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f410,f93]) ).
fof(f412,plain,
! [X0] :
( ~ r1_tarski(k19_filter_2(sK0,sK2),X0)
| ~ r1_tarski(X0,k19_filter_2(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f411,f92]) ).
fof(f414,plain,
~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)),
inference(resolution,[],[f412,f121]) ).
fof(f423,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f414,f223]) ).
fof(f425,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f423,f95]) ).
fof(f426,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f425,f94]) ).
fof(f427,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f426,f91]) ).
fof(f428,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f427,f90]) ).
fof(f429,plain,
( ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
| ~ r1_tarski(sK2,k19_filter_2(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f428,f89]) ).
fof(f430,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f429,f108]) ).
fof(f431,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f430,f91]) ).
fof(f432,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ l3_lattices(sK0)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f431,f90]) ).
fof(f433,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f432,f89]) ).
fof(f434,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f433,f97]) ).
fof(f435,plain,
~ r1_tarski(sK2,k19_filter_2(sK0,sK3)),
inference(forward_subsumption_resolution,[],[f434,f96]) ).
fof(f450,plain,
! [X0] :
( ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
| ~ r1_tarski(sK2,X0) ),
inference(resolution,[],[f435,f120]) ).
fof(f598,plain,
( ~ r1_tarski(sK2,sK3)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f450,f208]) ).
fof(f607,plain,
( v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f598,f360]) ).
fof(f608,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f607,f97]) ).
fof(f609,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f608,f96]) ).
fof(f610,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f609,f91]) ).
fof(f611,plain,
~ l3_lattices(sK0),
inference(forward_subsumption_resolution,[],[f610,f90]) ).
fof(f612,plain,
$false,
inference(forward_subsumption_resolution,[],[f611,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT310+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.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 14:31:46 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.73/1.20 % (1718662)Detected formulas, will run a generic FOF schedule.
% 1.73/1.20 % (1718673)dis-21_1_sil=8000:lcm=predicate:random_seed=2436182068:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.73/1.20 % (1718672)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3019833100:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.73/1.20 % (1718670)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3902054754:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.73/1.20 % (1718669)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=1541274044:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.73/1.20 % (1718667)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=4099271240:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.73/1.20 % (1718668)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=3871387221:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.73/1.20 % (1718671)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=697540912:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.73/1.20 % (1718673)Instruction limit reached!
% 1.73/1.20 % (1718673)------------------------------
% 1.73/1.20 % (1718673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.73/1.20 % (1718673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/1.20 % (1718673)CaDiCaL version: 2.1.3
% 1.73/1.20 % (1718673)Termination reason: Instruction limit
% 1.73/1.20 % (1718673)Termination phase: Saturation
% 1.73/1.20 % (1718673)Time elapsed: 0.042 s
% 1.73/1.20 % (1718673)Peak memory usage: 90 MB
% 1.73/1.20 % (1718673)Instructions burned: 133 (million)
% 1.73/1.20 % (1718671)First to succeed.
% 1.73/1.20 % (1718671)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1718662"
% 1.73/1.20 % (1718670)Instruction limit reached!
% 1.73/1.20 % (1718670)------------------------------
% 1.73/1.20 % (1718670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.73/1.20 % (1718670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/1.20 % (1718670)CaDiCaL version: 2.1.3
% 1.73/1.20 % (1718670)Termination reason: Instruction limit
% 1.73/1.20 % (1718670)Termination phase: Saturation
% 1.73/1.20 % (1718670)Time elapsed: 0.066 s
% 1.73/1.20 % (1718670)Peak memory usage: 89 MB
% 1.73/1.20 % (1718670)Instructions burned: 110 (million)
% 1.73/1.20 % (1718672)Also succeeded, but the first one will report.
% 1.73/1.20 % (1718681)lrs+10_1_sil=8000:sp=occurrence:random_seed=3276767209:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.73/1.20 % (1718671)Refutation found. Thanks to Tanya!
% 1.73/1.20 % SZS status Theorem for theBenchmark
% 1.73/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.40 % (1718671)------------------------------
% 0.15/1.40 % (1718671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.40 % (1718671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.40 % (1718671)CaDiCaL version: 2.1.3
% 0.15/1.40 % (1718671)Termination reason: Refutation
% 0.15/1.40 % (1718671)Time elapsed: 0.012 s
% 0.15/1.40 % (1718671)Peak memory usage: 88 MB
% 0.15/1.40 % (1718671)Instructions burned: 27 (million)
% 0.15/1.40 % (1718671)------------------------------
% 0.15/1.40 % (1718671)------------------------------
% 0.15/1.40 % (1718662)Success in time 0.346 s
% 0.15/1.40 % Vampire exiting
%------------------------------------------------------------------------------