%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT346+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:09 AM UTC 2026
% Result : Theorem 11.60s 4.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 130 ( 15 unt; 7 def)
% Number of atoms : 587 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 738 ( 281 ~; 334 |; 99 &)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 24 ( 23 usr; 8 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 61 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22747,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f22752,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f22852,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f25426,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( r1_filter_1(X0,X1)
=> r1_filter_1(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
fof(f31931,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( r1_filter_1(X0,X1)
<=> ? [X2] :
( m1_lattice4(X2,X0,X1)
& v3_lattice4(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_lattice4) ).
fof(f46212,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_conlat_1) ).
fof(f46277,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_conlat_1) ).
fof(f49788,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f49792,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_conlat_2) ).
fof(f49828,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_conlat_2) ).
fof(f49829,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_conlat_2) ).
fof(f49830,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
inference(negated_conjecture,[status(cth)],[f49829]) ).
fof(f49904,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f49788]) ).
fof(f49905,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f49904]) ).
fof(f49912,plain,
! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f49792]) ).
fof(f49913,plain,
! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f49912]) ).
fof(f49984,plain,
! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f49828]) ).
fof(f49985,plain,
! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f49984]) ).
fof(f49986,plain,
? [X0] :
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f49830]) ).
fof(f49987,plain,
? [X0] :
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f49986]) ).
fof(f49996,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f46277]) ).
fof(f49997,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f49996]) ).
fof(f50000,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f46212]) ).
fof(f50001,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f50000]) ).
fof(f50027,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f50051,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22752]) ).
fof(f50052,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f50051]) ).
fof(f50053,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f50054,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f50053]) ).
fof(f50335,plain,
! [X0,X1] :
( r1_filter_1(X1,X0)
| ~ r1_filter_1(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f25426]) ).
fof(f50336,plain,
! [X0,X1] :
( r1_filter_1(X1,X0)
| ~ r1_filter_1(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(flattening,[],[f50335]) ).
fof(f50362,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_1(X0,X1)
<=> ? [X2] :
( m1_lattice4(X2,X0,X1)
& v3_lattice4(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31931]) ).
fof(f50363,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_1(X0,X1)
<=> ? [X2] :
( m1_lattice4(X2,X0,X1)
& v3_lattice4(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f50362]) ).
fof(f50387,plain,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK16)),k1_lattice2(k11_conlat_1(sK16)))
& ~ v3_conlat_1(sK16)
& l2_conlat_1(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f49987]) ).
fof(f50534,plain,
! [X0] :
( ! [X1] :
( ( ( r1_filter_1(X0,X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ~ v3_lattice4(X2,X0,X1) ) )
& ( ? [X2] :
( m1_lattice4(X2,X0,X1)
& v3_lattice4(X2,X0,X1) )
| ~ r1_filter_1(X0,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f50363]) ).
fof(f50535,plain,
! [X0] :
( ! [X1] :
( ( ( r1_filter_1(X0,X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ~ v3_lattice4(X2,X0,X1) ) )
& ( ? [X3] :
( m1_lattice4(X3,X0,X1)
& v3_lattice4(X3,X0,X1) )
| ~ r1_filter_1(X0,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f50534]) ).
fof(f50536,plain,
! [X0] :
( ! [X1] :
( ( ( r1_filter_1(X0,X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ~ v3_lattice4(X2,X0,X1) ) )
& ( ( m1_lattice4(sK117(X0,X1),X0,X1)
& v3_lattice4(sK117(X0,X1),X0,X1) )
| ~ r1_filter_1(X0,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(X3,sK117(X0,X1))],[f50535]) ).
fof(f50553,plain,
! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49905]) ).
fof(f50555,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49905]) ).
fof(f50563,plain,
! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49913]) ).
fof(f50680,plain,
! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49985]) ).
fof(f50681,plain,
l2_conlat_1(sK16),
inference(cnf_transformation,[],[f50387]) ).
fof(f50682,plain,
~ v3_conlat_1(sK16),
inference(cnf_transformation,[],[f50387]) ).
fof(f50683,plain,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK16)),k1_lattice2(k11_conlat_1(sK16))),
inference(cnf_transformation,[],[f50387]) ).
fof(f50700,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49997]) ).
fof(f50713,plain,
! [X0] :
( v10_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f50001]) ).
fof(f50721,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f50001]) ).
fof(f50770,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f50027]) ).
fof(f50797,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f50052]) ).
fof(f50807,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f50054]) ).
fof(f51318,plain,
! [X0,X1] :
( r1_filter_1(X1,X0)
| ~ r1_filter_1(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f50336]) ).
fof(f51345,plain,
! [X2,X0,X1] :
( r1_filter_1(X0,X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ v3_lattice4(X2,X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f50536]) ).
fof(f51455,definition,
( spl134_1
<=> v3_conlat_1(sK16) ),
introduced(definition,[new_symbols(definition,[spl134_1])],[avatar_definition]) ).
fof(f51457,plain,
( ~ v3_conlat_1(sK16)
| spl134_1 ),
inference(avatar_component_clause,[],[f51455]) ).
fof(f51458,plain,
~ spl134_1,
inference(avatar_split_clause,[],[f50682,f51455]) ).
fof(f51460,definition,
( spl134_2
<=> l2_conlat_1(sK16) ),
introduced(definition,[new_symbols(definition,[spl134_2])],[avatar_definition]) ).
fof(f51462,plain,
( l2_conlat_1(sK16)
| ~ spl134_2 ),
inference(avatar_component_clause,[],[f51460]) ).
fof(f51463,plain,
spl134_2,
inference(avatar_split_clause,[],[f50681,f51460]) ).
fof(f51465,definition,
( spl134_3
<=> r1_filter_1(k11_conlat_1(k7_conlat_2(sK16)),k1_lattice2(k11_conlat_1(sK16))) ),
introduced(definition,[new_symbols(definition,[spl134_3])],[avatar_definition]) ).
fof(f51467,plain,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK16)),k1_lattice2(k11_conlat_1(sK16)))
| spl134_3 ),
inference(avatar_component_clause,[],[f51465]) ).
fof(f51468,plain,
~ spl134_3,
inference(avatar_split_clause,[],[f50683,f51465]) ).
fof(f51475,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| spl134_3 ),
inference(resolution,[],[f51467,f51318]) ).
fof(f51491,plain,
( l2_conlat_1(k7_conlat_2(sK16))
| ~ l2_conlat_1(sK16)
| spl134_1 ),
inference(resolution,[],[f51457,f50553]) ).
fof(f51493,plain,
( ~ v3_conlat_1(k7_conlat_2(sK16))
| ~ l2_conlat_1(sK16)
| spl134_1 ),
inference(resolution,[],[f51457,f50555]) ).
fof(f51501,plain,
( m1_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ l2_conlat_1(sK16)
| spl134_1 ),
inference(resolution,[],[f51457,f50563]) ).
fof(f51574,plain,
( v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ l2_conlat_1(sK16)
| spl134_1 ),
inference(resolution,[],[f51457,f50680]) ).
fof(f51589,plain,
( l3_lattices(k11_conlat_1(sK16))
| ~ l2_conlat_1(sK16)
| spl134_1 ),
inference(resolution,[],[f51457,f50700]) ).
fof(f51602,plain,
( v10_lattices(k11_conlat_1(sK16))
| ~ l2_conlat_1(sK16)
| spl134_1 ),
inference(resolution,[],[f51457,f50713]) ).
fof(f51610,plain,
( ~ v3_struct_0(k11_conlat_1(sK16))
| ~ l2_conlat_1(sK16)
| spl134_1 ),
inference(resolution,[],[f51457,f50721]) ).
fof(f51751,plain,
( ~ v3_struct_0(k11_conlat_1(sK16))
| spl134_1
| ~ spl134_2 ),
inference(forward_subsumption_resolution,[],[f51610,f51462]) ).
fof(f51759,plain,
( v10_lattices(k11_conlat_1(sK16))
| spl134_1
| ~ spl134_2 ),
inference(forward_subsumption_resolution,[],[f51602,f51462]) ).
fof(f51772,plain,
( l3_lattices(k11_conlat_1(sK16))
| spl134_1
| ~ spl134_2 ),
inference(forward_subsumption_resolution,[],[f51589,f51462]) ).
fof(f51787,plain,
( v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2 ),
inference(forward_subsumption_resolution,[],[f51574,f51462]) ).
fof(f51860,plain,
( m1_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2 ),
inference(forward_subsumption_resolution,[],[f51501,f51462]) ).
fof(f51868,plain,
( ~ v3_conlat_1(k7_conlat_2(sK16))
| spl134_1
| ~ spl134_2 ),
inference(forward_subsumption_resolution,[],[f51493,f51462]) ).
fof(f51870,plain,
( l2_conlat_1(k7_conlat_2(sK16))
| spl134_1
| ~ spl134_2 ),
inference(forward_subsumption_resolution,[],[f51491,f51462]) ).
fof(f52162,definition,
( spl134_8
<=> l2_conlat_1(k7_conlat_2(sK16)) ),
introduced(definition,[new_symbols(definition,[spl134_8])],[avatar_definition]) ).
fof(f52164,plain,
( l2_conlat_1(k7_conlat_2(sK16))
| ~ spl134_8 ),
inference(avatar_component_clause,[],[f52162]) ).
fof(f52165,plain,
( spl134_8
| spl134_1
| ~ spl134_2 ),
inference(avatar_split_clause,[],[f51870,f51460,f51455,f52162]) ).
fof(f52277,plain,
( l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_conlat_1(k7_conlat_2(sK16))
| ~ spl134_8 ),
inference(resolution,[],[f52164,f50700]) ).
fof(f52290,plain,
( v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_conlat_1(k7_conlat_2(sK16))
| ~ spl134_8 ),
inference(resolution,[],[f52164,f50713]) ).
fof(f52298,plain,
( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| v3_conlat_1(k7_conlat_2(sK16))
| ~ spl134_8 ),
inference(resolution,[],[f52164,f50721]) ).
fof(f52442,plain,
( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8 ),
inference(forward_subsumption_resolution,[],[f52298,f51868]) ).
fof(f52450,plain,
( v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8 ),
inference(forward_subsumption_resolution,[],[f52290,f51868]) ).
fof(f52463,plain,
( l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8 ),
inference(forward_subsumption_resolution,[],[f52277,f51868]) ).
fof(f52577,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8 ),
inference(backward_subsumption_resolution,[],[f51475,f52442]) ).
fof(f52605,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8 ),
inference(forward_subsumption_resolution,[],[f52577,f52450]) ).
fof(f52618,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8 ),
inference(forward_subsumption_resolution,[],[f52605,f52463]) ).
fof(f53098,definition,
( spl134_9
<=> l3_lattices(k11_conlat_1(sK16)) ),
introduced(definition,[new_symbols(definition,[spl134_9])],[avatar_definition]) ).
fof(f53100,plain,
( l3_lattices(k11_conlat_1(sK16))
| ~ spl134_9 ),
inference(avatar_component_clause,[],[f53098]) ).
fof(f53101,plain,
( spl134_9
| spl134_1
| ~ spl134_2 ),
inference(avatar_split_clause,[],[f51772,f51460,f51455,f53098]) ).
fof(f53175,plain,
( l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ spl134_9 ),
inference(resolution,[],[f53100,f50770]) ).
fof(f53191,plain,
( v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| v3_struct_0(k11_conlat_1(sK16))
| ~ v10_lattices(k11_conlat_1(sK16))
| ~ spl134_9 ),
inference(resolution,[],[f53100,f50797]) ).
fof(f53201,plain,
( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| v3_struct_0(k11_conlat_1(sK16))
| ~ spl134_9 ),
inference(resolution,[],[f53100,f50807]) ).
fof(f53421,plain,
( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_9 ),
inference(forward_subsumption_resolution,[],[f53201,f51751]) ).
fof(f53431,plain,
( v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k11_conlat_1(sK16))
| spl134_1
| ~ spl134_2
| ~ spl134_9 ),
inference(forward_subsumption_resolution,[],[f53191,f51751]) ).
fof(f53449,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8
| ~ spl134_9 ),
inference(backward_subsumption_resolution,[],[f52618,f53175]) ).
fof(f53598,plain,
( v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_9 ),
inference(forward_subsumption_resolution,[],[f53431,f51759]) ).
fof(f53613,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8
| ~ spl134_9 ),
inference(forward_subsumption_resolution,[],[f53449,f53421]) ).
fof(f53747,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8
| ~ spl134_9 ),
inference(forward_subsumption_resolution,[],[f53613,f53598]) ).
fof(f53932,definition,
( spl134_11
<=> r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16))) ),
introduced(definition,[new_symbols(definition,[spl134_11])],[avatar_definition]) ).
fof(f53934,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl134_11 ),
inference(avatar_component_clause,[],[f53932]) ).
fof(f53935,plain,
( ~ spl134_11
| spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8
| ~ spl134_9 ),
inference(avatar_split_clause,[],[f53747,f53098,f52162,f51465,f51460,f51455,f53932]) ).
fof(f54452,definition,
( spl134_13
<=> v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16))) ),
introduced(definition,[new_symbols(definition,[spl134_13])],[avatar_definition]) ).
fof(f54454,plain,
( v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ spl134_13 ),
inference(avatar_component_clause,[],[f54452]) ).
fof(f54455,plain,
( spl134_13
| spl134_1
| ~ spl134_2 ),
inference(avatar_split_clause,[],[f51787,f51460,f51455,f54452]) ).
fof(f54456,plain,
( r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ m1_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ spl134_13 ),
inference(resolution,[],[f54454,f51345]) ).
fof(f54471,plain,
( ~ m1_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54456,f53934]) ).
fof(f54479,plain,
( v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54471,f51860]) ).
fof(f54485,plain,
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54479,f52442]) ).
fof(f54486,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54485,f52450]) ).
fof(f54487,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54486,f52463]) ).
fof(f54488,plain,
( ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8
| ~ spl134_9
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54487,f53421]) ).
fof(f54489,plain,
( ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl134_1
| ~ spl134_2
| ~ spl134_8
| ~ spl134_9
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54488,f53598]) ).
fof(f54490,plain,
( $false
| spl134_1
| ~ spl134_2
| ~ spl134_8
| ~ spl134_9
| spl134_11
| ~ spl134_13 ),
inference(forward_subsumption_resolution,[],[f54489,f53175]) ).
fof(f54491,plain,
( spl134_1
| ~ spl134_2
| ~ spl134_8
| ~ spl134_9
| spl134_11
| ~ spl134_13 ),
inference(avatar_contradiction_clause,[],[f54490]) ).
cnf(s1,plain,
~ spl134_1,
inference(sat_conversion,[],[f51458]) ).
cnf(s2,plain,
spl134_2,
inference(sat_conversion,[],[f51463]) ).
cnf(s3,plain,
~ spl134_3,
inference(sat_conversion,[],[f51468]) ).
cnf(s8,plain,
( spl134_1
| ~ spl134_2
| spl134_8 ),
inference(sat_conversion,[],[f52165]) ).
cnf(s9,plain,
( spl134_1
| ~ spl134_2
| spl134_9 ),
inference(sat_conversion,[],[f53101]) ).
cnf(s11,plain,
( spl134_1
| ~ spl134_2
| spl134_3
| ~ spl134_8
| ~ spl134_9
| ~ spl134_11 ),
inference(sat_conversion,[],[f53935]) ).
cnf(s13,plain,
( spl134_1
| ~ spl134_2
| spl134_13 ),
inference(sat_conversion,[],[f54455]) ).
cnf(s14,plain,
( spl134_1
| ~ spl134_2
| ~ spl134_8
| ~ spl134_9
| spl134_11
| ~ spl134_13 ),
inference(sat_conversion,[],[f54491]) ).
cnf(s15,plain,
spl134_13,
inference(rat,[],[s13,s2,s1]) ).
cnf(s17,plain,
spl134_9,
inference(rat,[],[s9,s2,s1]) ).
cnf(s18,plain,
spl134_8,
inference(rat,[],[s8,s2,s1]) ).
cnf(s24,plain,
spl134_11,
inference(rat,[],[s14,s15,s17,s1,s2,s18]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s11,s17,s1,s2,s3,s24,s18]) ).
fof(f54492,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT346+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n019.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 14:52:46 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 15.60/4.09 % (3160707)Detected formulas, will run a generic FOF schedule.
% 15.60/4.09 % (3160830)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=3263659263:i=141695:sd=1:nm=32:gsp=on:ss=included_2985 on theBenchmark for (2985ds/141695Mi)
% 15.60/4.09 % (3160832)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3623603927:i=119:av=off:ss=axioms_2985 on theBenchmark for (2985ds/119Mi)
% 15.60/4.09 % (3160828)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=210333642:i=141193_2985 on theBenchmark for (2985ds/141193Mi)
% 15.60/4.09 % (3160829)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=712919564:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2985 on theBenchmark for (2985ds/134677Mi)
% 15.60/4.09 % (3160831)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2243069418:i=109:sd=1:ins=1:gsp=on:ss=axioms_2985 on theBenchmark for (2985ds/109Mi)
% 15.60/4.09 % (3160833)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3246062819:s2a=on:i=139:gtg=position_2985 on theBenchmark for (2985ds/139Mi)
% 15.60/4.09 % (3160834)dis-21_1_sil=8000:lcm=predicate:random_seed=3406359104:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2985 on theBenchmark for (2985ds/129Mi)
% 15.60/4.09 % (3160833)Instruction limit reached!
% 15.60/4.09 % (3160833)------------------------------
% 15.60/4.09 % (3160833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/4.09 % (3160833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/4.09 % (3160833)CaDiCaL version: 2.1.3
% 15.60/4.09 % (3160833)Termination reason: Instruction limit
% 15.60/4.09 % (3160833)Termination phase: Property scanning
% 15.60/4.09 % (3160833)Time elapsed: 0.064 s
% 15.60/4.09 % (3160833)Peak memory usage: 163 MB
% 15.60/4.09 % (3160833)Instructions burned: 141 (million)
% 15.60/4.09 % (3160831)Instruction limit reached!
% 15.60/4.09 % (3160831)------------------------------
% 15.60/4.09 % (3160831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/4.09 % (3160831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/4.09 % (3160831)CaDiCaL version: 2.1.3
% 15.60/4.09 % (3160831)Termination reason: Instruction limit
% 15.60/4.09 % (3160831)Termination phase: SInE selection
% 15.60/4.09 % (3160831)Time elapsed: 0.077 s
% 15.60/4.09 % (3160831)Peak memory usage: 163 MB
% 15.60/4.09 % (3160831)Instructions burned: 110 (million)
% 15.60/4.09 % (3160832)Instruction limit reached!
% 15.60/4.09 % (3160832)------------------------------
% 15.60/4.09 % (3160832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/4.09 % (3160832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/4.09 % (3160832)CaDiCaL version: 2.1.3
% 15.60/4.09 % (3160832)Termination reason: Instruction limit
% 15.60/4.09 % (3160832)Termination phase: SInE selection
% 15.60/4.09 % (3160832)Time elapsed: 0.088 s
% 15.60/4.09 % (3160832)Peak memory usage: 163 MB
% 15.60/4.09 % (3160832)Instructions burned: 120 (million)
% 15.60/4.09 % (3160834)Instruction limit reached!
% 15.60/4.09 % (3160834)------------------------------
% 15.60/4.09 % (3160834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/4.09 % (3160834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/4.09 % (3160834)CaDiCaL version: 2.1.3
% 15.60/4.09 % (3160834)Termination reason: Instruction limit
% 15.60/4.09 % (3160834)Termination phase: SInE selection
% 15.60/4.09 % (3160834)Time elapsed: 0.095 s
% 15.60/4.09 % (3160834)Peak memory usage: 163 MB
% 15.60/4.09 % (3160834)Instructions burned: 129 (million)
% 15.60/4.09 % (3160844)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2943883107:i=325:sd=1:ss=axioms:sgt=32_2983 on theBenchmark for (2983ds/325Mi)
% 15.60/4.09 % (3160842)lrs+10_1_sil=8000:sp=occurrence:random_seed=3283271516:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 15.60/4.09 % (3160843)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4056214454:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/157Mi)
% 15.60/4.09 % (3160845)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=660577259:s2a=on:i=248:s2at=1.23:gtg=position_2982 on theBenchmark for (2982ds/248Mi)
% 15.60/4.09 % (3160843)Instruction limit reached!
% 11.60/4.50 % (3160843)------------------------------
% 11.60/4.50 % (3160843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160843)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160843)Termination reason: Instruction limit
% 11.60/4.50 % (3160843)Termination phase: Property scanning
% 11.60/4.50 % (3160843)Time elapsed: 0.071 s
% 11.60/4.50 % (3160843)Peak memory usage: 164 MB
% 11.60/4.50 % (3160843)Instructions burned: 158 (million)
% 11.60/4.50 % (3160845)Instruction limit reached!
% 11.60/4.50 % (3160845)------------------------------
% 11.60/4.50 % (3160845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160845)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160845)Termination reason: Instruction limit
% 11.60/4.50 % (3160845)Termination phase: Property scanning
% 11.60/4.50 % (3160845)Time elapsed: 0.080 s
% 11.60/4.50 % (3160845)Peak memory usage: 164 MB
% 11.60/4.50 % (3160845)Instructions burned: 251 (million)
% 11.60/4.50 % (3160869)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=427014657:i=2350_2980 on theBenchmark for (2980ds/2350Mi)
% 11.60/4.50 % (3160859)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2434468379:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2981 on theBenchmark for (2981ds/294Mi)
% 11.60/4.50 % (3160842)Instruction limit reached!
% 11.60/4.50 % (3160842)------------------------------
% 11.60/4.50 % (3160842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160842)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160842)Termination reason: Instruction limit
% 11.60/4.50 % (3160842)Termination phase: SInE selection
% 11.60/4.50 % (3160842)Time elapsed: 0.202 s
% 11.60/4.50 % (3160842)Peak memory usage: 164 MB
% 11.60/4.50 % (3160842)Instructions burned: 286 (million)
% 11.60/4.50 % (3160844)Instruction limit reached!
% 11.60/4.50 % (3160844)------------------------------
% 11.60/4.50 % (3160844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160844)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160844)Termination reason: Instruction limit
% 11.60/4.50 % (3160844)Termination phase: SInE selection
% 11.60/4.50 % (3160844)Time elapsed: 0.231 s
% 11.60/4.50 % (3160844)Peak memory usage: 164 MB
% 11.60/4.50 % (3160844)Instructions burned: 325 (million)
% 11.60/4.50 % (3160915)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2793343130:cts=off:i=113:fsr=off:ss=included:sgt=4_2979 on theBenchmark for (2979ds/113Mi)
% 11.60/4.50 % (3160923)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2589301911:i=127:av=off:fsr=off:sup=off_2979 on theBenchmark for (2979ds/127Mi)
% 11.60/4.50 % (3160859)Instruction limit reached!
% 11.60/4.50 % (3160859)------------------------------
% 11.60/4.50 % (3160859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160859)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160859)Termination reason: Instruction limit
% 11.60/4.50 % (3160859)Termination phase: SInE selection
% 11.60/4.50 % (3160859)Time elapsed: 0.199 s
% 11.60/4.50 % (3160859)Peak memory usage: 164 MB
% 11.60/4.50 % (3160859)Instructions burned: 295 (million)
% 11.60/4.50 % (3160915)Instruction limit reached!
% 11.60/4.50 % (3160915)------------------------------
% 11.60/4.50 % (3160915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160915)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160915)Termination reason: Instruction limit
% 11.60/4.50 % (3160915)Termination phase: SInE selection
% 11.60/4.50 % (3160915)Time elapsed: 0.087 s
% 11.60/4.50 % (3160915)Peak memory usage: 163 MB
% 11.60/4.50 % (3160915)Instructions burned: 113 (million)
% 11.60/4.50 % (3160923)Instruction limit reached!
% 11.60/4.50 % (3160923)------------------------------
% 11.60/4.50 % (3160923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160923)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160923)Termination reason: Instruction limit
% 11.60/4.50 % (3160923)Termination phase: Preprocessing 1
% 11.60/4.50 % (3160923)Time elapsed: 0.097 s
% 11.60/4.50 % (3160923)Peak memory usage: 165 MB
% 11.60/4.50 % (3160923)Instructions burned: 128 (million)
% 11.60/4.50 % (3160959)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3468725005:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2977 on theBenchmark for (2977ds/114Mi)
% 11.60/4.50 % (3160960)lrs+10_1_sil=8000:sp=occurrence:random_seed=1124955463:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2977 on theBenchmark for (2977ds/907Mi)
% 11.60/4.50 % (3160959)Instruction limit reached!
% 11.60/4.50 % (3160959)------------------------------
% 11.60/4.50 % (3160959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160959)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160959)Termination reason: Instruction limit
% 11.60/4.50 % (3160959)Termination phase: Property scanning
% 11.60/4.50 % (3160959)Time elapsed: 0.056 s
% 11.60/4.50 % (3160959)Peak memory usage: 164 MB
% 11.60/4.50 % (3160959)Instructions burned: 122 (million)
% 11.60/4.50 % (3160961)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3530272384:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 11.60/4.50 % (3160964)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3724785567:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 11.60/4.50 % (3160961)Instruction limit reached!
% 11.60/4.50 % (3160961)------------------------------
% 11.60/4.50 % (3160961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160961)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160961)Termination reason: Instruction limit
% 11.60/4.50 % (3160961)Termination phase: Saturation
% 11.60/4.50 % (3160961)Time elapsed: 0.502 s
% 11.60/4.50 % (3160961)Peak memory usage: 170 MB
% 11.60/4.50 % (3160961)Instructions burned: 437 (million)
% 11.60/4.50 % (3161008)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3792969683:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2970 on theBenchmark for (2970ds/134Mi)
% 11.60/4.50 % (3160869)Instruction limit reached!
% 11.60/4.50 % (3160869)------------------------------
% 11.60/4.50 % (3160869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160869)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160869)Termination reason: Instruction limit
% 11.60/4.50 % (3160869)Termination phase: Preprocessing 3
% 11.60/4.50 % (3160869)Time elapsed: 1.235 s
% 11.60/4.50 % (3160869)Peak memory usage: 264 MB
% 11.60/4.50 % (3160869)Instructions burned: 2351 (million)
% 11.60/4.50 % (3160960)Instruction limit reached!
% 11.60/4.50 % (3160960)------------------------------
% 11.60/4.50 % (3160960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3160960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3160960)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3160960)Termination reason: Instruction limit
% 11.60/4.50 % (3160960)Termination phase: Property scanning
% 11.60/4.50 % (3160960)Time elapsed: 0.920 s
% 11.60/4.50 % (3160960)Peak memory usage: 179 MB
% 11.60/4.50 % (3160960)Instructions burned: 909 (million)
% 11.60/4.50 % (3161008)Instruction limit reached!
% 11.60/4.50 % (3161008)------------------------------
% 11.60/4.50 % (3161008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3161008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3161008)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3161008)Termination reason: Instruction limit
% 11.60/4.50 % (3161008)Termination phase: SInE selection
% 11.60/4.50 % (3161008)Time elapsed: 0.127 s
% 11.60/4.50 % (3161008)Peak memory usage: 163 MB
% 11.60/4.50 % (3161008)Instructions burned: 135 (million)
% 11.60/4.50 % (3161012)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=927054654:st=8:i=592:sd=3:ep=RST:ss=axioms_2967 on theBenchmark for (2967ds/592Mi)
% 11.60/4.50 % (3161014)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=850856574:st=3:i=13193:sd=3:ss=axioms_2966 on theBenchmark for (2966ds/13193Mi)
% 11.60/4.50 % (3161015)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=359358205:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/125Mi)
% 11.60/4.50 % (3161015)Instruction limit reached!
% 11.60/4.50 % (3161015)------------------------------
% 11.60/4.50 % (3161015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3161015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3161015)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3161015)Termination reason: Instruction limit
% 11.60/4.50 % (3161015)Termination phase: Property scanning
% 11.60/4.50 % (3161015)Time elapsed: 0.059 s
% 11.60/4.50 % (3161015)Peak memory usage: 164 MB
% 11.60/4.50 % (3161015)Instructions burned: 127 (million)
% 11.60/4.50 % (3160830)First to succeed.
% 11.60/4.50 % (3160830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3160707"
% 11.60/4.50 % (3161012)Instruction limit reached!
% 11.60/4.50 % (3161012)------------------------------
% 11.60/4.50 % (3161012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3161012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3161012)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3161012)Termination reason: Instruction limit
% 11.60/4.50 % (3161012)Termination phase: Preprocessing 1
% 11.60/4.50 % (3161012)Time elapsed: 0.235 s
% 11.60/4.50 % (3161012)Peak memory usage: 167 MB
% 11.60/4.50 % (3161012)Instructions burned: 592 (million)
% 11.60/4.50 % (3161058)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1353235947:i=134:gtgl=5:slsql=off:gtg=exists_sym_2964 on theBenchmark for (2964ds/134Mi)
% 11.60/4.50 % (3161087)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2466024247:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/141Mi)
% 11.60/4.50 % (3161058)Instruction limit reached!
% 11.60/4.50 % (3161058)------------------------------
% 11.60/4.50 % (3161058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3161058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3161058)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3161058)Termination reason: Instruction limit
% 11.60/4.50 % (3161058)Termination phase: Property scanning
% 11.60/4.50 % (3161058)Time elapsed: 0.062 s
% 11.60/4.50 % (3161058)Peak memory usage: 164 MB
% 11.60/4.50 % (3161058)Instructions burned: 135 (million)
% 11.60/4.50 % (3161087)Instruction limit reached!
% 11.60/4.50 % (3161087)------------------------------
% 11.60/4.50 % (3161087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/4.50 % (3161087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/4.50 % (3161087)CaDiCaL version: 2.1.3
% 11.60/4.50 % (3161087)Termination reason: Instruction limit
% 11.60/4.50 % (3161087)Termination phase: SInE selection
% 11.60/4.50 % (3161087)Time elapsed: 0.064 s
% 11.60/4.50 % (3161087)Peak memory usage: 163 MB
% 11.60/4.50 % (3161087)Instructions burned: 143 (million)
% 11.60/4.50 % (3161129)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2016012782:i=6060:aac=none:ins=25_2962 on theBenchmark for (2962ds/6060Mi)
% 11.60/4.50 % (3160830)Refutation found. Thanks to Tanya!
% 11.60/4.50 % SZS status Theorem for theBenchmark
% 11.60/4.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/4.71 % (3160830)------------------------------
% 0.18/4.71 % (3160830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/4.71 % (3160830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/4.71 % (3160830)CaDiCaL version: 2.1.3
% 0.18/4.71 % (3160830)Termination reason: Refutation
% 0.18/4.71 % (3160830)Time elapsed: 1.984 s
% 0.18/4.71 % (3160830)Peak memory usage: 240 MB
% 0.18/4.71 % (3160830)Instructions burned: 2593 (million)
% 0.18/4.71 % (3160830)------------------------------
% 0.18/4.71 % (3160830)------------------------------
% 0.18/4.71 % (3160707)Success in time 3.876 s
% 0.18/4.71 % Vampire exiting
%------------------------------------------------------------------------------