%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT295+4 : 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 : n013.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 11:46:37 AM UTC 2026
% Result : Theorem 9.21s 5.19s
% Output : Refutation 13.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 109 ( 21 unt; 4 def)
% Number of atoms : 603 ( 114 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 850 ( 356 ~; 397 |; 63 &)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 126 ( 0 sgn 114 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33839,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_quantal1) ).
fof(f34658,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_filter_2) ).
fof(f34659,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34658]) ).
fof(f34695,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) ) )
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34659]) ).
fof(f34696,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) ) )
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34695]) ).
fof(f34697,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X1,X4,X5)
| ~ r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
| ~ r1_lattices(X1,X4,X5) ) )
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f33839]) ).
fof(f34698,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X1,X4,X5)
| ~ r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
| ~ r1_lattices(X1,X4,X5) ) )
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34697]) ).
fof(f34735,plain,
( ( k1_lattices(sK6,sK8,sK9) != k1_lattices(sK7,sK10,sK11)
| k2_lattices(sK6,sK8,sK9) != k2_lattices(sK7,sK10,sK11)
| ( ~ r1_lattices(sK7,sK10,sK11)
& r1_lattices(sK6,sK8,sK9) )
| ( ~ r1_lattices(sK6,sK8,sK9)
& r1_lattices(sK7,sK10,sK11) ) )
& sK8 = sK10
& sK9 = sK11
& m1_subset_1(sK11,u1_struct_0(sK7))
& m1_subset_1(sK10,u1_struct_0(sK7))
& m1_subset_1(sK9,u1_struct_0(sK6))
& m1_subset_1(sK8,u1_struct_0(sK6))
& g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) = g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
& ~ v3_struct_0(sK7)
& l3_lattices(sK7)
& ~ v3_struct_0(sK6)
& l3_lattices(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11)],[f34696]) ).
fof(f34776,plain,
l3_lattices(sK6),
inference(cnf_transformation,[],[f34735]) ).
fof(f34777,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f34735]) ).
fof(f34778,plain,
l3_lattices(sK7),
inference(cnf_transformation,[],[f34735]) ).
fof(f34779,plain,
~ v3_struct_0(sK7),
inference(cnf_transformation,[],[f34735]) ).
fof(f34780,plain,
g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) = g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7)),
inference(cnf_transformation,[],[f34735]) ).
fof(f34781,plain,
m1_subset_1(sK8,u1_struct_0(sK6)),
inference(cnf_transformation,[],[f34735]) ).
fof(f34782,plain,
m1_subset_1(sK9,u1_struct_0(sK6)),
inference(cnf_transformation,[],[f34735]) ).
fof(f34783,plain,
m1_subset_1(sK10,u1_struct_0(sK7)),
inference(cnf_transformation,[],[f34735]) ).
fof(f34784,plain,
m1_subset_1(sK11,u1_struct_0(sK7)),
inference(cnf_transformation,[],[f34735]) ).
fof(f34785,plain,
sK9 = sK11,
inference(cnf_transformation,[],[f34735]) ).
fof(f34786,plain,
sK8 = sK10,
inference(cnf_transformation,[],[f34735]) ).
fof(f34787,plain,
( k1_lattices(sK6,sK8,sK9) != k1_lattices(sK7,sK10,sK11)
| k2_lattices(sK6,sK8,sK9) != k2_lattices(sK7,sK10,sK11)
| r1_lattices(sK6,sK8,sK9)
| r1_lattices(sK7,sK10,sK11) ),
inference(cnf_transformation,[],[f34735]) ).
fof(f34790,plain,
( k1_lattices(sK6,sK8,sK9) != k1_lattices(sK7,sK10,sK11)
| k2_lattices(sK6,sK8,sK9) != k2_lattices(sK7,sK10,sK11)
| ~ r1_lattices(sK7,sK10,sK11)
| ~ r1_lattices(sK6,sK8,sK9) ),
inference(cnf_transformation,[],[f34735]) ).
fof(f34793,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_lattices(X0,X2,X3)
| ~ r1_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34698]) ).
fof(f34795,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34698]) ).
fof(f34796,plain,
! [X2,X3,X0,X1,X4,X5] :
( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34698]) ).
fof(f34883,plain,
( k1_lattices(sK7,sK10,sK11) != k1_lattices(sK6,sK10,sK11)
| k2_lattices(sK7,sK10,sK11) != k2_lattices(sK6,sK10,sK11)
| ~ r1_lattices(sK7,sK10,sK11)
| ~ r1_lattices(sK6,sK10,sK11) ),
inference(definition_unfolding,[],[f34790,f34786,f34785,f34786,f34785,f34786,f34785]) ).
fof(f34886,plain,
( k1_lattices(sK7,sK10,sK11) != k1_lattices(sK6,sK10,sK11)
| k2_lattices(sK7,sK10,sK11) != k2_lattices(sK6,sK10,sK11)
| r1_lattices(sK6,sK10,sK11)
| r1_lattices(sK7,sK10,sK11) ),
inference(definition_unfolding,[],[f34787,f34786,f34785,f34786,f34785,f34786,f34785]) ).
fof(f34887,plain,
m1_subset_1(sK11,u1_struct_0(sK6)),
inference(definition_unfolding,[],[f34782,f34785]) ).
fof(f34888,plain,
m1_subset_1(sK10,u1_struct_0(sK6)),
inference(definition_unfolding,[],[f34781,f34786]) ).
fof(f34889,plain,
! [X3,X0,X1,X4,X5] :
( k1_lattices(X1,X4,X5) = k1_lattices(X0,X4,X3)
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f34796]) ).
fof(f34890,plain,
! [X0,X1,X4,X5] :
( v3_struct_0(X0)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| k1_lattices(X1,X4,X5) = k1_lattices(X0,X4,X5)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f34889]) ).
fof(f34891,plain,
! [X3,X0,X1,X4,X5] :
( k2_lattices(X1,X4,X5) = k2_lattices(X0,X4,X3)
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f34795]) ).
fof(f34892,plain,
! [X0,X1,X4,X5] :
( v3_struct_0(X0)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| k2_lattices(X1,X4,X5) = k2_lattices(X0,X4,X5)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f34891]) ).
fof(f34895,plain,
! [X3,X0,X1,X4,X5] :
( r1_lattices(X0,X4,X3)
| ~ r1_lattices(X1,X4,X5)
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f34793]) ).
fof(f34896,plain,
! [X0,X1,X4,X5] :
( ~ r1_lattices(X1,X4,X5)
| r1_lattices(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f34895]) ).
fof(f34900,definition,
( spl42_1
<=> r1_lattices(sK7,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
fof(f34901,plain,
( ~ r1_lattices(sK7,sK10,sK11)
| spl42_1 ),
inference(avatar_component_clause,[],[f34900]) ).
fof(f34902,plain,
( r1_lattices(sK7,sK10,sK11)
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f34900]) ).
fof(f34904,definition,
( spl42_2
<=> r1_lattices(sK6,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f34905,plain,
( ~ r1_lattices(sK6,sK10,sK11)
| spl42_2 ),
inference(avatar_component_clause,[],[f34904]) ).
fof(f34906,plain,
( r1_lattices(sK6,sK10,sK11)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f34904]) ).
fof(f34908,definition,
( spl42_3
<=> k2_lattices(sK7,sK10,sK11) = k2_lattices(sK6,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f34910,plain,
( k2_lattices(sK7,sK10,sK11) != k2_lattices(sK6,sK10,sK11)
| spl42_3 ),
inference(avatar_component_clause,[],[f34908]) ).
fof(f34912,definition,
( spl42_4
<=> k1_lattices(sK7,sK10,sK11) = k1_lattices(sK6,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f34914,plain,
( k1_lattices(sK7,sK10,sK11) != k1_lattices(sK6,sK10,sK11)
| spl42_4 ),
inference(avatar_component_clause,[],[f34912]) ).
fof(f34915,plain,
( spl42_1
| spl42_2
| ~ spl42_3
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f34886,f34912,f34908,f34904,f34900]) ).
fof(f34916,plain,
( ~ spl42_2
| ~ spl42_1
| ~ spl42_3
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f34883,f34912,f34908,f34900,f34904]) ).
fof(f35037,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X2,u1_struct_0(sK6))
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| k1_lattices(X1,X2,X0) = k1_lattices(sK6,X2,X0)
| ~ l3_lattices(sK6) ),
inference(resolution,[],[f34890,f34777]) ).
fof(f35042,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X2,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| k1_lattices(X1,X2,X0) = k1_lattices(sK6,X2,X0) ),
inference(forward_subsumption_resolution,[],[f35037,f34776]) ).
fof(f35044,plain,
! [X0,X1] :
( g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK7))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| k1_lattices(sK7,X0,X1) = k1_lattices(sK6,X0,X1) ),
inference(superposition,[],[f35042,f34780]) ).
fof(f35047,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK7))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| k1_lattices(sK7,X0,X1) = k1_lattices(sK6,X0,X1) ),
inference(trivial_inequality_removal,[],[f35044]) ).
fof(f35048,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK7))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ l3_lattices(sK7)
| k1_lattices(sK7,X0,X1) = k1_lattices(sK6,X0,X1) ),
inference(forward_subsumption_resolution,[],[f35047,f34779]) ).
fof(f35049,plain,
! [X0,X1] :
( k1_lattices(sK7,X0,X1) = k1_lattices(sK6,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ m1_subset_1(X0,u1_struct_0(sK7)) ),
inference(forward_subsumption_resolution,[],[f35048,f34778]) ).
fof(f35050,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X2,u1_struct_0(sK6))
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| k2_lattices(X1,X2,X0) = k2_lattices(sK6,X2,X0)
| ~ l3_lattices(sK6) ),
inference(resolution,[],[f34892,f34777]) ).
fof(f35055,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X2,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| k2_lattices(X1,X2,X0) = k2_lattices(sK6,X2,X0) ),
inference(forward_subsumption_resolution,[],[f35050,f34776]) ).
fof(f35061,plain,
( k1_lattices(sK6,sK10,sK11) != k1_lattices(sK6,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(sK6))
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_4 ),
inference(superposition,[],[f34914,f35049]) ).
fof(f35065,plain,
( ~ m1_subset_1(sK11,u1_struct_0(sK6))
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_4 ),
inference(trivial_inequality_removal,[],[f35061]) ).
fof(f35090,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f35065,f34887]) ).
fof(f35112,plain,
( ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f35090,f34888]) ).
fof(f35113,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f35112,f34784]) ).
fof(f35114,plain,
( $false
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f35113,f34783]) ).
fof(f35115,plain,
spl42_4,
inference(avatar_contradiction_clause,[],[f35114]) ).
fof(f35146,plain,
! [X0,X1] :
( g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK7))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| k2_lattices(sK7,X0,X1) = k2_lattices(sK6,X0,X1) ),
inference(superposition,[],[f35055,f34780]) ).
fof(f35149,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK7))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| k2_lattices(sK7,X0,X1) = k2_lattices(sK6,X0,X1) ),
inference(trivial_inequality_removal,[],[f35146]) ).
fof(f35150,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK7))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ l3_lattices(sK7)
| k2_lattices(sK7,X0,X1) = k2_lattices(sK6,X0,X1) ),
inference(forward_subsumption_resolution,[],[f35149,f34779]) ).
fof(f35151,plain,
! [X0,X1] :
( k2_lattices(sK7,X0,X1) = k2_lattices(sK6,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ m1_subset_1(X0,u1_struct_0(sK7)) ),
inference(forward_subsumption_resolution,[],[f35150,f34778]) ).
fof(f35347,plain,
( k2_lattices(sK6,sK10,sK11) != k2_lattices(sK6,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(sK6))
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_3 ),
inference(superposition,[],[f34910,f35151]) ).
fof(f35353,plain,
( ~ m1_subset_1(sK11,u1_struct_0(sK6))
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_3 ),
inference(trivial_inequality_removal,[],[f35347]) ).
fof(f35391,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_3 ),
inference(forward_subsumption_resolution,[],[f35353,f34887]) ).
fof(f35413,plain,
( ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_3 ),
inference(forward_subsumption_resolution,[],[f35391,f34888]) ).
fof(f35414,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl42_3 ),
inference(forward_subsumption_resolution,[],[f35413,f34784]) ).
fof(f35415,plain,
( $false
| spl42_3 ),
inference(forward_subsumption_resolution,[],[f35414,f34783]) ).
fof(f35416,plain,
spl42_3,
inference(avatar_contradiction_clause,[],[f35415]) ).
fof(f35422,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(sK6))
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_2 ),
inference(resolution,[],[f34906,f34896]) ).
fof(f35423,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35422,f34887]) ).
fof(f35424,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35423,f34888]) ).
fof(f35425,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| ~ l3_lattices(sK6)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35424,f34777]) ).
fof(f35426,plain,
( ! [X0] :
( ~ m1_subset_1(sK11,u1_struct_0(X0))
| r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35425,f34776]) ).
fof(f35456,plain,
( r1_lattices(sK7,sK10,sK11)
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| ~ spl42_2 ),
inference(resolution,[],[f35426,f34784]) ).
fof(f35458,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK7))
| g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| spl42_1
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35456,f34901]) ).
fof(f35459,plain,
( g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| spl42_1
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35458,f34783]) ).
fof(f35460,plain,
( v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| spl42_1
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35459,f34780]) ).
fof(f35461,plain,
( ~ l3_lattices(sK7)
| spl42_1
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35460,f34779]) ).
fof(f35462,plain,
( $false
| spl42_1
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f35461,f34778]) ).
fof(f35463,plain,
( spl42_1
| ~ spl42_2 ),
inference(avatar_contradiction_clause,[],[f35462]) ).
fof(f35464,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_1 ),
inference(resolution,[],[f34902,f34896]) ).
fof(f35465,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f35464,f34784]) ).
fof(f35466,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f35465,f34783]) ).
fof(f35467,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| ~ l3_lattices(sK7)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f35466,f34779]) ).
fof(f35468,plain,
( ! [X0] :
( r1_lattices(X0,sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(X0))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_1 ),
inference(forward_subsumption_resolution,[],[f35467,f34778]) ).
fof(f35469,plain,
( ! [X0] :
( ~ m1_subset_1(sK11,u1_struct_0(X0))
| r1_lattices(X0,sK10,sK11)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| ~ m1_subset_1(sK10,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl42_1 ),
inference(forward_demodulation,[],[f35468,f34780]) ).
fof(f35473,plain,
( r1_lattices(sK6,sK10,sK11)
| g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6)) != g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),u1_lattices(sK6))
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl42_1 ),
inference(resolution,[],[f35469,f34887]) ).
fof(f35475,plain,
( r1_lattices(sK6,sK10,sK11)
| ~ m1_subset_1(sK10,u1_struct_0(sK6))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl42_1 ),
inference(trivial_inequality_removal,[],[f35473]) ).
fof(f35476,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK6))
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl42_1
| spl42_2 ),
inference(forward_subsumption_resolution,[],[f35475,f34905]) ).
fof(f35477,plain,
( v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl42_1
| spl42_2 ),
inference(forward_subsumption_resolution,[],[f35476,f34888]) ).
fof(f35478,plain,
( ~ l3_lattices(sK6)
| ~ spl42_1
| spl42_2 ),
inference(forward_subsumption_resolution,[],[f35477,f34777]) ).
fof(f35479,plain,
( $false
| ~ spl42_1
| spl42_2 ),
inference(forward_subsumption_resolution,[],[f35478,f34776]) ).
fof(f35480,plain,
( ~ spl42_1
| spl42_2 ),
inference(avatar_contradiction_clause,[],[f35479]) ).
cnf(s1,plain,
( spl42_1
| spl42_2
| ~ spl42_3
| ~ spl42_4 ),
inference(sat_conversion,[],[f34915]) ).
cnf(s2,plain,
( ~ spl42_1
| ~ spl42_2
| ~ spl42_3
| ~ spl42_4 ),
inference(sat_conversion,[],[f34916]) ).
cnf(s13,plain,
spl42_4,
inference(sat_conversion,[],[f35115]) ).
cnf(s35,plain,
spl42_3,
inference(sat_conversion,[],[f35416]) ).
cnf(s38,plain,
( spl42_1
| ~ spl42_2 ),
inference(sat_conversion,[],[f35463]) ).
cnf(s39,plain,
( ~ spl42_1
| spl42_2 ),
inference(sat_conversion,[],[f35480]) ).
cnf(s40,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(rat,[],[s2,s13,s35]) ).
cnf(s41,plain,
( spl42_1
| spl42_2 ),
inference(rat,[],[s1,s13,s35]) ).
cnf(s42,plain,
spl42_1,
inference(rat,[],[s41,s38]) ).
cnf(s43,plain,
spl42_2,
inference(rat,[],[s39,s42]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s40,s43,s42]) ).
fof(f35481,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT295+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 % Computer : n013.cluster.edu
% 0.22/0.52 % Model : x86_64 x86_64
% 0.22/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.52 % Memory : 8046.5625MB
% 0.22/0.52 % OS : Linux 6.8.0-71-generic
% 0.22/0.52 % CPULimit : 300
% 0.22/0.52 % WCLimit : 300
% 0.22/0.52 % DateTime : Sun Sep 27 14:18:42 UTC 2026
% 0.22/0.52 % CPUTime :
% 0.22/0.52 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.58 Running first-order theorem proving
% 0.22/0.58 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
% 9.21/5.19 % (277101)Detected formulas, will run a generic FOF schedule.
% 9.21/5.19 % (277111)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3301248925:i=119:av=off:ss=axioms_2975 on theBenchmark for (2975ds/119Mi)
% 9.21/5.19 % (277112)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1730334524:s2a=on:i=139:gtg=position_2975 on theBenchmark for (2975ds/139Mi)
% 9.21/5.19 % (277107)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=2901367401:i=141193_2975 on theBenchmark for (2975ds/141193Mi)
% 9.21/5.19 % (277111)Instruction limit reached!
% 9.21/5.19 % (277111)------------------------------
% 9.21/5.19 % (277111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277111)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277111)Termination reason: Instruction limit
% 9.21/5.19 % (277111)Termination phase: SInE selection
% 9.21/5.19 % (277111)Time elapsed: 0.075 s
% 9.21/5.19 % (277111)Peak memory usage: 136 MB
% 9.21/5.19 % (277111)Instructions burned: 119 (million)
% 9.21/5.19 % (277112)Instruction limit reached!
% 9.21/5.19 % (277112)------------------------------
% 9.21/5.19 % (277112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277112)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277112)Termination reason: Instruction limit
% 9.21/5.19 % (277112)Termination phase: Property scanning
% 9.21/5.19 % (277112)Time elapsed: 0.064 s
% 9.21/5.19 % (277112)Peak memory usage: 136 MB
% 9.21/5.19 % (277112)Instructions burned: 140 (million)
% 9.21/5.19 % (277108)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=859631279:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2975 on theBenchmark for (2975ds/134677Mi)
% 9.21/5.19 % (277110)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3244028435:i=109:sd=1:ins=1:gsp=on:ss=axioms_2975 on theBenchmark for (2975ds/109Mi)
% 9.21/5.19 % (277109)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=3873152841:i=141695:sd=1:nm=32:gsp=on:ss=included_2975 on theBenchmark for (2975ds/141695Mi)
% 9.21/5.19 % (277113)dis-21_1_sil=8000:lcm=predicate:random_seed=2892758966:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2975 on theBenchmark for (2975ds/129Mi)
% 9.21/5.19 % (277110)Instruction limit reached!
% 9.21/5.19 % (277110)------------------------------
% 9.21/5.19 % (277110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277110)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277110)Termination reason: Instruction limit
% 9.21/5.19 % (277110)Termination phase: SInE selection
% 9.21/5.19 % (277110)Time elapsed: 0.089 s
% 9.21/5.19 % (277110)Peak memory usage: 136 MB
% 9.21/5.19 % (277110)Instructions burned: 109 (million)
% 9.21/5.19 % (277117)lrs+10_1_sil=8000:sp=occurrence:random_seed=2190529500:i=285:sd=3:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/285Mi)
% 9.21/5.19 % (277119)lrs+10_1_sil=32000:urr=on:br=off:random_seed=178673316:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/157Mi)
% 9.21/5.19 % (277113)Instruction limit reached!
% 9.21/5.19 % (277113)------------------------------
% 9.21/5.19 % (277113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277113)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277113)Termination reason: Instruction limit
% 9.21/5.19 % (277113)Termination phase: SInE selection
% 9.21/5.19 % (277113)Time elapsed: 0.138 s
% 9.21/5.19 % (277113)Peak memory usage: 136 MB
% 9.21/5.19 % (277113)Instructions burned: 130 (million)
% 9.21/5.19 % (277119)Instruction limit reached!
% 9.21/5.19 % (277119)------------------------------
% 9.21/5.19 % (277119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277119)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277119)Termination reason: Instruction limit
% 9.21/5.19 % (277119)Termination phase: Property scanning
% 9.21/5.19 % (277119)Time elapsed: 0.073 s
% 9.21/5.19 % (277119)Peak memory usage: 136 MB
% 9.21/5.19 % (277119)Instructions burned: 158 (million)
% 9.21/5.19 % (277123)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2941063737:i=325:sd=1:ss=axioms:sgt=32_2971 on theBenchmark for (2971ds/325Mi)
% 9.21/5.19 % (277117)Instruction limit reached!
% 9.21/5.19 % (277117)------------------------------
% 9.21/5.19 % (277117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277117)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277117)Termination reason: Instruction limit
% 9.21/5.19 % (277117)Termination phase: Saturation
% 9.21/5.19 % (277117)Time elapsed: 0.195 s
% 9.21/5.19 % (277117)Peak memory usage: 141 MB
% 9.21/5.19 % (277117)Instructions burned: 285 (million)
% 9.21/5.19 % (277127)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2141110678:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2970 on theBenchmark for (2970ds/294Mi)
% 9.21/5.19 % (277126)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=3974728393:s2a=on:i=248:s2at=1.23:gtg=position_2970 on theBenchmark for (2970ds/248Mi)
% 9.21/5.19 % (277129)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1652585724:i=2350_2969 on theBenchmark for (2969ds/2350Mi)
% 9.21/5.19 % (277127)Instruction limit reached!
% 9.21/5.19 % (277127)------------------------------
% 9.21/5.19 % (277127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277127)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277127)Termination reason: Instruction limit
% 9.21/5.19 % (277127)Termination phase: SInE selection
% 9.21/5.19 % (277127)Time elapsed: 0.185 s
% 9.21/5.19 % (277127)Peak memory usage: 137 MB
% 9.21/5.19 % (277127)Instructions burned: 294 (million)
% 9.21/5.19 % (277126)Instruction limit reached!
% 9.21/5.19 % (277126)------------------------------
% 9.21/5.19 % (277126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277126)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277126)Termination reason: Instruction limit
% 9.21/5.19 % (277126)Termination phase: Property scanning
% 9.21/5.19 % (277126)Time elapsed: 0.209 s
% 9.21/5.19 % (277126)Peak memory usage: 136 MB
% 9.21/5.19 % (277126)Instructions burned: 248 (million)
% 9.21/5.19 % (277123)First to succeed.
% 9.21/5.19 % (277123)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-277101"
% 9.21/5.19 % (277133)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3731949915:cts=off:i=113:fsr=off:ss=included:sgt=4_2966 on theBenchmark for (2966ds/113Mi)
% 9.21/5.19 % (277133)Instruction limit reached!
% 9.21/5.19 % (277133)------------------------------
% 9.21/5.19 % (277133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/5.19 % (277133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.19 % (277133)CaDiCaL version: 2.1.3
% 9.21/5.19 % (277133)Termination reason: Instruction limit
% 9.21/5.19 % (277133)Termination phase: SInE selection
% 9.21/5.19 % (277133)Time elapsed: 0.088 s
% 9.21/5.19 % (277133)Peak memory usage: 136 MB
% 9.21/5.19 % (277133)Instructions burned: 113 (million)
% 9.21/5.19 % (277134)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=123223640:i=127:av=off:fsr=off:sup=off_2966 on theBenchmark for (2966ds/127Mi)
% 9.21/5.19 % (277136)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1631721254:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2964 on theBenchmark for (2964ds/114Mi)
% 9.21/5.19 % (277123)Refutation found. Thanks to Tanya!
% 9.21/5.19 % SZS status Theorem for theBenchmark
% 9.21/5.19 % SZS output start Proof for theBenchmark
% See solution above
% 13.04/5.44 % (277123)------------------------------
% 13.04/5.44 % (277123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/5.44 % (277123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/5.44 % (277123)CaDiCaL version: 2.1.3
% 13.04/5.44 % (277123)Termination reason: Refutation
% 13.04/5.44 % (277123)Time elapsed: 0.330 s
% 13.04/5.44 % (277123)Peak memory usage: 143 MB
% 13.04/5.44 % (277123)Instructions burned: 282 (million)
% 13.04/5.44 % (277123)------------------------------
% 13.04/5.44 % (277123)------------------------------
% 13.04/5.44 % (277101)Success in time 3.837 s
% 13.04/5.45 % Vampire exiting
%------------------------------------------------------------------------------