%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT346+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10.61s 4.62s
% Output : Refutation 18.98s
% 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(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f10189,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/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
fof(f12263,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/sandbox/benchmark/theBenchmark.p',d5_lattice4) ).
fof(f17832,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/sandbox/benchmark/theBenchmark.p',fc4_conlat_1) ).
fof(f17897,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/sandbox/benchmark/theBenchmark.p',t46_conlat_1) ).
fof(f18287,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/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f18291,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/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_2) ).
fof(f18327,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/sandbox/benchmark/theBenchmark.p',t21_conlat_2) ).
fof(f18328,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/sandbox/benchmark/theBenchmark.p',t22_conlat_2) ).
fof(f18329,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)],[f18328]) ).
fof(f18402,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,[],[f18287]) ).
fof(f18403,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,[],[f18402]) ).
fof(f18410,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,[],[f18291]) ).
fof(f18411,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,[],[f18410]) ).
fof(f18482,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,[],[f18327]) ).
fof(f18483,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,[],[f18482]) ).
fof(f18484,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,[],[f18329]) ).
fof(f18485,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,[],[f18484]) ).
fof(f18494,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,[],[f17897]) ).
fof(f18495,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,[],[f18494]) ).
fof(f18498,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,[],[f17832]) ).
fof(f18499,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,[],[f18498]) ).
fof(f18524,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f18527,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,[],[f9363]) ).
fof(f18528,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,[],[f18527]) ).
fof(f18529,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f18530,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f18529]) ).
fof(f18773,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,[],[f10189]) ).
fof(f18774,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,[],[f18773]) ).
fof(f18795,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,[],[f12263]) ).
fof(f18796,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,[],[f18795]) ).
fof(f18820,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)],[f18485]) ).
fof(f18934,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,[],[f18796]) ).
fof(f18935,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,[],[f18934]) ).
fof(f18936,plain,
! [X0] :
( ! [X1] :
( ( ( r1_filter_1(X0,X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ~ v3_lattice4(X2,X0,X1) ) )
& ( ( m1_lattice4(sK93(X0,X1),X0,X1)
& v3_lattice4(sK93(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,[sK93]),skolemize(X3,sK93(X0,X1))],[f18935]) ).
fof(f18953,plain,
! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18403]) ).
fof(f18955,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18403]) ).
fof(f18963,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,[],[f18411]) ).
fof(f19080,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,[],[f18483]) ).
fof(f19081,plain,
l2_conlat_1(sK16),
inference(cnf_transformation,[],[f18820]) ).
fof(f19082,plain,
~ v3_conlat_1(sK16),
inference(cnf_transformation,[],[f18820]) ).
fof(f19083,plain,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK16)),k1_lattice2(k11_conlat_1(sK16))),
inference(cnf_transformation,[],[f18820]) ).
fof(f19100,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18495]) ).
fof(f19113,plain,
! [X0] :
( v10_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18499]) ).
fof(f19121,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f18499]) ).
fof(f19170,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18524]) ).
fof(f19173,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18528]) ).
fof(f19183,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18530]) ).
fof(f19604,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,[],[f18774]) ).
fof(f19626,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,[],[f18936]) ).
fof(f19719,definition,
( spl110_1
<=> v3_conlat_1(sK16) ),
introduced(definition,[new_symbols(definition,[spl110_1])],[avatar_definition]) ).
fof(f19721,plain,
( ~ v3_conlat_1(sK16)
| spl110_1 ),
inference(avatar_component_clause,[],[f19719]) ).
fof(f19722,plain,
~ spl110_1,
inference(avatar_split_clause,[],[f19082,f19719]) ).
fof(f19724,definition,
( spl110_2
<=> l2_conlat_1(sK16) ),
introduced(definition,[new_symbols(definition,[spl110_2])],[avatar_definition]) ).
fof(f19726,plain,
( l2_conlat_1(sK16)
| ~ spl110_2 ),
inference(avatar_component_clause,[],[f19724]) ).
fof(f19727,plain,
spl110_2,
inference(avatar_split_clause,[],[f19081,f19724]) ).
fof(f19741,plain,
( l2_conlat_1(k7_conlat_2(sK16))
| ~ l2_conlat_1(sK16)
| spl110_1 ),
inference(resolution,[],[f19721,f18953]) ).
fof(f19743,plain,
( ~ v3_conlat_1(k7_conlat_2(sK16))
| ~ l2_conlat_1(sK16)
| spl110_1 ),
inference(resolution,[],[f19721,f18955]) ).
fof(f19751,plain,
( m1_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ l2_conlat_1(sK16)
| spl110_1 ),
inference(resolution,[],[f19721,f18963]) ).
fof(f19824,plain,
( v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ l2_conlat_1(sK16)
| spl110_1 ),
inference(resolution,[],[f19721,f19080]) ).
fof(f19839,plain,
( l3_lattices(k11_conlat_1(sK16))
| ~ l2_conlat_1(sK16)
| spl110_1 ),
inference(resolution,[],[f19721,f19100]) ).
fof(f19852,plain,
( v10_lattices(k11_conlat_1(sK16))
| ~ l2_conlat_1(sK16)
| spl110_1 ),
inference(resolution,[],[f19721,f19113]) ).
fof(f19860,plain,
( ~ v3_struct_0(k11_conlat_1(sK16))
| ~ l2_conlat_1(sK16)
| spl110_1 ),
inference(resolution,[],[f19721,f19121]) ).
fof(f20001,plain,
( ~ v3_struct_0(k11_conlat_1(sK16))
| spl110_1
| ~ spl110_2 ),
inference(forward_subsumption_resolution,[],[f19860,f19726]) ).
fof(f20009,plain,
( v10_lattices(k11_conlat_1(sK16))
| spl110_1
| ~ spl110_2 ),
inference(forward_subsumption_resolution,[],[f19852,f19726]) ).
fof(f20022,plain,
( l3_lattices(k11_conlat_1(sK16))
| spl110_1
| ~ spl110_2 ),
inference(forward_subsumption_resolution,[],[f19839,f19726]) ).
fof(f20037,plain,
( v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl110_1
| ~ spl110_2 ),
inference(forward_subsumption_resolution,[],[f19824,f19726]) ).
fof(f20110,plain,
( m1_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl110_1
| ~ spl110_2 ),
inference(forward_subsumption_resolution,[],[f19751,f19726]) ).
fof(f20118,plain,
( ~ v3_conlat_1(k7_conlat_2(sK16))
| spl110_1
| ~ spl110_2 ),
inference(forward_subsumption_resolution,[],[f19743,f19726]) ).
fof(f20120,plain,
( l2_conlat_1(k7_conlat_2(sK16))
| spl110_1
| ~ spl110_2 ),
inference(forward_subsumption_resolution,[],[f19741,f19726]) ).
fof(f20178,definition,
( spl110_3
<=> r1_filter_1(k11_conlat_1(k7_conlat_2(sK16)),k1_lattice2(k11_conlat_1(sK16))) ),
introduced(definition,[new_symbols(definition,[spl110_3])],[avatar_definition]) ).
fof(f20180,plain,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK16)),k1_lattice2(k11_conlat_1(sK16)))
| spl110_3 ),
inference(avatar_component_clause,[],[f20178]) ).
fof(f20181,plain,
~ spl110_3,
inference(avatar_split_clause,[],[f19083,f20178]) ).
fof(f20188,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)))
| spl110_3 ),
inference(resolution,[],[f20180,f19604]) ).
fof(f20411,definition,
( spl110_5
<=> l2_conlat_1(k7_conlat_2(sK16)) ),
introduced(definition,[new_symbols(definition,[spl110_5])],[avatar_definition]) ).
fof(f20413,plain,
( l2_conlat_1(k7_conlat_2(sK16))
| ~ spl110_5 ),
inference(avatar_component_clause,[],[f20411]) ).
fof(f20414,plain,
( spl110_5
| spl110_1
| ~ spl110_2 ),
inference(avatar_split_clause,[],[f20120,f19724,f19719,f20411]) ).
fof(f20526,plain,
( l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_conlat_1(k7_conlat_2(sK16))
| ~ spl110_5 ),
inference(resolution,[],[f20413,f19100]) ).
fof(f20539,plain,
( v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| v3_conlat_1(k7_conlat_2(sK16))
| ~ spl110_5 ),
inference(resolution,[],[f20413,f19113]) ).
fof(f20547,plain,
( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| v3_conlat_1(k7_conlat_2(sK16))
| ~ spl110_5 ),
inference(resolution,[],[f20413,f19121]) ).
fof(f20691,plain,
( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK16)))
| spl110_1
| ~ spl110_2
| ~ spl110_5 ),
inference(forward_subsumption_resolution,[],[f20547,f20118]) ).
fof(f20699,plain,
( v10_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| spl110_1
| ~ spl110_2
| ~ spl110_5 ),
inference(forward_subsumption_resolution,[],[f20539,f20118]) ).
fof(f20712,plain,
( l3_lattices(k11_conlat_1(k7_conlat_2(sK16)))
| spl110_1
| ~ spl110_2
| ~ spl110_5 ),
inference(forward_subsumption_resolution,[],[f20526,f20118]) ).
fof(f20826,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)))
| spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5 ),
inference(backward_subsumption_resolution,[],[f20188,f20691]) ).
fof(f20854,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)))
| spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5 ),
inference(forward_subsumption_resolution,[],[f20826,f20699]) ).
fof(f20867,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)))
| spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5 ),
inference(forward_subsumption_resolution,[],[f20854,f20712]) ).
fof(f21427,definition,
( spl110_9
<=> l3_lattices(k11_conlat_1(sK16)) ),
introduced(definition,[new_symbols(definition,[spl110_9])],[avatar_definition]) ).
fof(f21429,plain,
( l3_lattices(k11_conlat_1(sK16))
| ~ spl110_9 ),
inference(avatar_component_clause,[],[f21427]) ).
fof(f21430,plain,
( spl110_9
| spl110_1
| ~ spl110_2 ),
inference(avatar_split_clause,[],[f20022,f19724,f19719,f21427]) ).
fof(f21510,plain,
( l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ spl110_9 ),
inference(resolution,[],[f21429,f19170]) ).
fof(f21513,plain,
( v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| v3_struct_0(k11_conlat_1(sK16))
| ~ v10_lattices(k11_conlat_1(sK16))
| ~ spl110_9 ),
inference(resolution,[],[f21429,f19173]) ).
fof(f21523,plain,
( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| v3_struct_0(k11_conlat_1(sK16))
| ~ spl110_9 ),
inference(resolution,[],[f21429,f19183]) ).
fof(f21736,plain,
( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK16)))
| spl110_1
| ~ spl110_2
| ~ spl110_9 ),
inference(forward_subsumption_resolution,[],[f21523,f20001]) ).
fof(f21746,plain,
( v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ v10_lattices(k11_conlat_1(sK16))
| spl110_1
| ~ spl110_2
| ~ spl110_9 ),
inference(forward_subsumption_resolution,[],[f21513,f20001]) ).
fof(f21754,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)))
| spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5
| ~ spl110_9 ),
inference(backward_subsumption_resolution,[],[f20867,f21510]) ).
fof(f21910,plain,
( v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl110_1
| ~ spl110_2
| ~ spl110_9 ),
inference(forward_subsumption_resolution,[],[f21746,f20009]) ).
fof(f21918,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)))
| spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5
| ~ spl110_9 ),
inference(forward_subsumption_resolution,[],[f21754,f21736]) ).
fof(f22051,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5
| ~ spl110_9 ),
inference(forward_subsumption_resolution,[],[f21918,f21910]) ).
fof(f22238,definition,
( spl110_11
<=> r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16))) ),
introduced(definition,[new_symbols(definition,[spl110_11])],[avatar_definition]) ).
fof(f22240,plain,
( ~ r1_filter_1(k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| spl110_11 ),
inference(avatar_component_clause,[],[f22238]) ).
fof(f22241,plain,
( ~ spl110_11
| spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5
| ~ spl110_9 ),
inference(avatar_split_clause,[],[f22051,f21427,f20411,f20178,f19724,f19719,f22238]) ).
fof(f22575,definition,
( spl110_14
<=> v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16))) ),
introduced(definition,[new_symbols(definition,[spl110_14])],[avatar_definition]) ).
fof(f22577,plain,
( v3_lattice4(k10_conlat_2(sK16),k1_lattice2(k11_conlat_1(sK16)),k11_conlat_1(k7_conlat_2(sK16)))
| ~ spl110_14 ),
inference(avatar_component_clause,[],[f22575]) ).
fof(f22578,plain,
( spl110_14
| spl110_1
| ~ spl110_2 ),
inference(avatar_split_clause,[],[f20037,f19724,f19719,f22575]) ).
fof(f22579,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)))
| ~ spl110_14 ),
inference(resolution,[],[f22577,f19626]) ).
fof(f22590,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)))
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22579,f22240]) ).
fof(f22596,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)))
| spl110_1
| ~ spl110_2
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22590,f20110]) ).
fof(f22602,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)))
| spl110_1
| ~ spl110_2
| ~ spl110_5
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22596,f20691]) ).
fof(f22603,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)))
| spl110_1
| ~ spl110_2
| ~ spl110_5
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22602,f20699]) ).
fof(f22604,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)))
| spl110_1
| ~ spl110_2
| ~ spl110_5
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22603,f20712]) ).
fof(f22605,plain,
( ~ v10_lattices(k1_lattice2(k11_conlat_1(sK16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl110_1
| ~ spl110_2
| ~ spl110_5
| ~ spl110_9
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22604,f21736]) ).
fof(f22606,plain,
( ~ l3_lattices(k1_lattice2(k11_conlat_1(sK16)))
| spl110_1
| ~ spl110_2
| ~ spl110_5
| ~ spl110_9
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22605,f21910]) ).
fof(f22607,plain,
( $false
| spl110_1
| ~ spl110_2
| ~ spl110_5
| ~ spl110_9
| spl110_11
| ~ spl110_14 ),
inference(forward_subsumption_resolution,[],[f22606,f21510]) ).
fof(f22608,plain,
( spl110_1
| ~ spl110_2
| ~ spl110_5
| ~ spl110_9
| spl110_11
| ~ spl110_14 ),
inference(avatar_contradiction_clause,[],[f22607]) ).
cnf(s1,plain,
~ spl110_1,
inference(sat_conversion,[],[f19722]) ).
cnf(s2,plain,
spl110_2,
inference(sat_conversion,[],[f19727]) ).
cnf(s3,plain,
~ spl110_3,
inference(sat_conversion,[],[f20181]) ).
cnf(s5,plain,
( spl110_1
| ~ spl110_2
| spl110_5 ),
inference(sat_conversion,[],[f20414]) ).
cnf(s9,plain,
( spl110_1
| ~ spl110_2
| spl110_9 ),
inference(sat_conversion,[],[f21430]) ).
cnf(s11,plain,
( spl110_1
| ~ spl110_2
| spl110_3
| ~ spl110_5
| ~ spl110_9
| ~ spl110_11 ),
inference(sat_conversion,[],[f22241]) ).
cnf(s14,plain,
( spl110_1
| ~ spl110_2
| spl110_14 ),
inference(sat_conversion,[],[f22578]) ).
cnf(s15,plain,
( spl110_1
| ~ spl110_2
| ~ spl110_5
| ~ spl110_9
| spl110_11
| ~ spl110_14 ),
inference(sat_conversion,[],[f22608]) ).
cnf(s16,plain,
spl110_14,
inference(rat,[],[s14,s2,s1]) ).
cnf(s19,plain,
spl110_9,
inference(rat,[],[s9,s2,s1]) ).
cnf(s23,plain,
spl110_5,
inference(rat,[],[s5,s2,s1]) ).
cnf(s26,plain,
spl110_11,
inference(rat,[],[s15,s16,s19,s1,s2,s23]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s11,s19,s1,s2,s3,s26,s23]) ).
fof(f22609,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT346+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n003.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 27 14:54:13 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.61/4.62 % (628989)Detected formulas, will run a generic FOF schedule.
% 10.61/4.62 % (628994)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=2850671145:i=141193_2987 on theBenchmark for (2987ds/141193Mi)
% 10.61/4.62 % (628995)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=3121628098:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/134677Mi)
% 10.61/4.62 % (628996)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=3435050561:i=141695:sd=1:nm=32:gsp=on:ss=included_2987 on theBenchmark for (2987ds/141695Mi)
% 10.61/4.62 % (628997)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1253063108:i=109:sd=1:ins=1:gsp=on:ss=axioms_2987 on theBenchmark for (2987ds/109Mi)
% 10.61/4.62 % (628998)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1632950641:i=119:av=off:ss=axioms_2987 on theBenchmark for (2987ds/119Mi)
% 10.61/4.62 % (628999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2486436556:s2a=on:i=139:gtg=position_2987 on theBenchmark for (2987ds/139Mi)
% 10.61/4.62 % (629000)dis-21_1_sil=8000:lcm=predicate:random_seed=3341453629:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2987 on theBenchmark for (2987ds/129Mi)
% 10.61/4.62 % (628997)Instruction limit reached!
% 10.61/4.62 % (628997)------------------------------
% 10.61/4.62 % (628997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (628997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (628997)CaDiCaL version: 2.1.3
% 10.61/4.62 % (628997)Termination reason: Instruction limit
% 10.61/4.62 % (628997)Termination phase: Property scanning
% 10.61/4.62 % (628997)Time elapsed: 0.128 s
% 10.61/4.62 % (628997)Peak memory usage: 112 MB
% 10.61/4.62 % (628997)Instructions burned: 109 (million)
% 10.61/4.62 % (628999)Instruction limit reached!
% 10.61/4.62 % (628999)------------------------------
% 10.61/4.62 % (628999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (628999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (628999)CaDiCaL version: 2.1.3
% 10.61/4.62 % (628999)Termination reason: Instruction limit
% 10.61/4.62 % (628999)Termination phase: Property scanning
% 10.61/4.62 % (628999)Time elapsed: 0.116 s
% 10.61/4.62 % (628999)Peak memory usage: 111 MB
% 10.61/4.62 % (628999)Instructions burned: 140 (million)
% 10.61/4.62 % (628998)Instruction limit reached!
% 10.61/4.62 % (628998)------------------------------
% 10.61/4.62 % (628998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (628998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (628998)CaDiCaL version: 2.1.3
% 10.61/4.62 % (628998)Termination reason: Instruction limit
% 10.61/4.62 % (628998)Termination phase: Preprocessing 3
% 10.61/4.62 % (628998)Time elapsed: 0.141 s
% 10.61/4.62 % (628998)Peak memory usage: 113 MB
% 10.61/4.62 % (628998)Instructions burned: 121 (million)
% 10.61/4.62 % (629000)Instruction limit reached!
% 10.61/4.62 % (629000)------------------------------
% 10.61/4.62 % (629000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629000)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629000)Termination reason: Instruction limit
% 10.61/4.62 % (629000)Termination phase: SInE selection
% 10.61/4.62 % (629000)Time elapsed: 0.133 s
% 10.61/4.62 % (629000)Peak memory usage: 111 MB
% 10.61/4.62 % (629000)Instructions burned: 129 (million)
% 10.61/4.62 % (629010)lrs+10_1_sil=8000:sp=occurrence:random_seed=2913907947:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 10.61/4.62 % (629013)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=2758778864:s2a=on:i=248:s2at=1.23:gtg=position_2983 on theBenchmark for (2983ds/248Mi)
% 10.61/4.62 % (629012)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1145399989:i=325:sd=1:ss=axioms:sgt=32_2983 on theBenchmark for (2983ds/325Mi)
% 10.61/4.62 % (629011)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3214933820:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/157Mi)
% 10.61/4.62 % (629011)Instruction limit reached!
% 10.61/4.62 % (629011)------------------------------
% 10.61/4.62 % (629011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629011)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629011)Termination reason: Instruction limit
% 10.61/4.62 % (629011)Termination phase: Property scanning
% 10.61/4.62 % (629011)Time elapsed: 0.131 s
% 10.61/4.62 % (629011)Peak memory usage: 111 MB
% 10.61/4.62 % (629011)Instructions burned: 157 (million)
% 10.61/4.62 % (629013)Instruction limit reached!
% 10.61/4.62 % (629013)------------------------------
% 10.61/4.62 % (629013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629013)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629013)Termination reason: Instruction limit
% 10.61/4.62 % (629013)Termination phase: Property scanning
% 10.61/4.62 % (629013)Time elapsed: 0.176 s
% 10.61/4.62 % (629013)Peak memory usage: 111 MB
% 10.61/4.62 % (629013)Instructions burned: 248 (million)
% 10.61/4.62 % (629010)Instruction limit reached!
% 10.61/4.62 % (629010)------------------------------
% 10.61/4.62 % (629010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629010)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629010)Termination reason: Instruction limit
% 10.61/4.62 % (629010)Termination phase: Saturation
% 10.61/4.62 % (629010)Time elapsed: 0.323 s
% 10.61/4.62 % (629010)Peak memory usage: 117 MB
% 10.61/4.62 % (629010)Instructions burned: 285 (million)
% 10.61/4.62 % (629012)Instruction limit reached!
% 10.61/4.62 % (629012)------------------------------
% 10.61/4.62 % (629012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629012)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629012)Termination reason: Instruction limit
% 10.61/4.62 % (629012)Termination phase: Saturation
% 10.61/4.62 % (629012)Time elapsed: 0.344 s
% 10.61/4.62 % (629012)Peak memory usage: 117 MB
% 10.61/4.62 % (629012)Instructions burned: 326 (million)
% 10.61/4.62 % (629018)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2151382688:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 10.61/4.62 % (629019)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=831071273:i=2350_2979 on theBenchmark for (2979ds/2350Mi)
% 10.61/4.62 % (629020)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4001706695:cts=off:i=113:fsr=off:ss=included:sgt=4_2978 on theBenchmark for (2978ds/113Mi)
% 10.61/4.62 % (629022)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3029769493:i=127:av=off:fsr=off:sup=off_2977 on theBenchmark for (2977ds/127Mi)
% 10.61/4.62 % (629018)Instruction limit reached!
% 10.61/4.62 % (629018)------------------------------
% 10.61/4.62 % (629018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629018)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629018)Termination reason: Instruction limit
% 10.61/4.62 % (629018)Termination phase: Saturation
% 10.61/4.62 % (629018)Time elapsed: 0.307 s
% 10.61/4.62 % (629018)Peak memory usage: 118 MB
% 10.61/4.62 % (629018)Instructions burned: 294 (million)
% 10.61/4.62 % (629020)Instruction limit reached!
% 10.61/4.62 % (629020)------------------------------
% 10.61/4.62 % (629020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629020)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629020)Termination reason: Instruction limit
% 10.61/4.62 % (629020)Termination phase: SInE selection
% 10.61/4.62 % (629020)Time elapsed: 0.132 s
% 10.61/4.62 % (629020)Peak memory usage: 111 MB
% 10.61/4.62 % (629020)Instructions burned: 113 (million)
% 10.61/4.62 % (629022)Instruction limit reached!
% 10.61/4.62 % (629022)------------------------------
% 10.61/4.62 % (629022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629022)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629022)Termination reason: Instruction limit
% 10.61/4.62 % (629022)Termination phase: Preprocessing 1
% 10.61/4.62 % (629022)Time elapsed: 0.136 s
% 10.61/4.62 % (629022)Peak memory usage: 111 MB
% 10.61/4.62 % (629022)Instructions burned: 127 (million)
% 10.61/4.62 % (629027)lrs+10_1_sil=8000:sp=occurrence:random_seed=681986850:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2974 on theBenchmark for (2974ds/907Mi)
% 10.61/4.62 % (629028)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2988301845:i=437:sd=1:aac=none:ss=included_2973 on theBenchmark for (2973ds/437Mi)
% 10.61/4.62 % (629026)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2852043807:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2974 on theBenchmark for (2974ds/114Mi)
% 10.61/4.62 % (629026)Instruction limit reached!
% 10.61/4.62 % (629026)------------------------------
% 10.61/4.62 % (629026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629026)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629026)Termination reason: Instruction limit
% 10.61/4.62 % (629026)Termination phase: Property scanning
% 10.61/4.62 % (629026)Time elapsed: 0.097 s
% 10.61/4.62 % (629026)Peak memory usage: 111 MB
% 10.61/4.62 % (629026)Instructions burned: 115 (million)
% 10.61/4.62 % (629032)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2941141311:i=5202:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/5202Mi)
% 10.61/4.62 % (628996)First to succeed.
% 10.61/4.62 % (628996)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-628989"
% 10.61/4.62 % (629028)Instruction limit reached!
% 10.61/4.62 % (629028)------------------------------
% 10.61/4.62 % (629028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/4.62 % (629028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/4.62 % (629028)CaDiCaL version: 2.1.3
% 10.61/4.62 % (629028)Termination reason: Instruction limit
% 10.61/4.62 % (629028)Termination phase: Saturation
% 10.61/4.62 % (629028)Time elapsed: 0.428 s
% 10.61/4.62 % (629028)Peak memory usage: 118 MB
% 10.61/4.62 % (629028)Instructions burned: 438 (million)
% 10.61/4.62 % (629034)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=963136171:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2967 on theBenchmark for (2967ds/134Mi)
% 10.61/4.62 % (628996)Refutation found. Thanks to Tanya!
% 10.61/4.62 % SZS status Theorem for theBenchmark
% 10.61/4.62 % SZS output start Proof for theBenchmark
% See solution above
% 18.98/4.92 % (628996)------------------------------
% 18.98/4.92 % (628996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/4.92 % (628996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/4.92 % (628996)CaDiCaL version: 2.1.3
% 18.98/4.92 % (628996)Termination reason: Refutation
% 18.98/4.92 % (628996)Time elapsed: 1.715 s
% 18.98/4.92 % (628996)Peak memory usage: 166 MB
% 18.98/4.92 % (628996)Instructions burned: 1836 (million)
% 18.98/4.92 % (628996)------------------------------
% 18.98/4.92 % (628996)------------------------------
% 18.98/4.92 % (628989)Success in time 3.634 s
% 18.98/4.92 % Vampire exiting
%------------------------------------------------------------------------------