%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT319+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:46:53 AM UTC 2026
% Result : Theorem 2.48s 1.29s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 9
% Syntax : Number of formulae : 123 ( 8 unt; 2 def)
% Number of atoms : 735 ( 0 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 1014 ( 402 ~; 384 |; 202 &)
% ( 13 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 63 ( 59 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_lattices) ).
fof(f18,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(f39,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(f49,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(f73,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_filter_2) ).
fof(f75,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_lattice2) ).
fof(f80,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ~ v3_struct_0(k1_lattice2(X0)) ),
inference(pure_predicate_removal,[],[f39]) ).
fof(f83,plain,
! [X0] :
( l3_lattices(X0)
=> l3_lattices(k1_lattice2(X0)) ),
inference(pure_predicate_removal,[],[f18]) ).
fof(f86,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(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)) ) ),
inference(pure_predicate_removal,[],[f49]) ).
fof(f88,plain,
? [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<~> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f89,plain,
? [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
<~> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f91,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( ~ v3_struct_0(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,[],[f86]) ).
fof(f93,plain,
! [X0] :
( ( ~ v3_struct_0(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,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f95,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f97,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f98,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f97]) ).
fof(f111,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f112,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f111]) ).
fof(f113,definition,
! [X0] :
( sP0(X0)
<=> ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f114,definition,
! [X0] :
( ( sP0(X0)
<=> ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f115,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f112,f114,f113]) ).
fof(f116,plain,
? [X0] :
( ( v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f117,plain,
? [X0] :
( ( v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
( ( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2) )
& ( ( ~ v3_struct_0(k1_lattice2(sK2))
& v10_lattices(k1_lattice2(sK2))
& v17_lattices(k1_lattice2(sK2))
& l3_lattices(k1_lattice2(sK2)) )
| ( ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& v17_lattices(sK2)
& l3_lattices(sK2) ) )
& ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& l3_lattices(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f117]) ).
fof(f119,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f91]) ).
fof(f120,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0) )
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f119]) ).
fof(f123,plain,
! [X0] :
( ( ( v17_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0) )
& ( ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) )
| ~ v17_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f124,plain,
! [X0] :
( ( ( v17_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0) )
& ( ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) )
| ~ v17_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f123]) ).
fof(f129,plain,
! [X0] :
( ( ( sP0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f130,plain,
! [X0] :
( ( ( sP0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
& ( ( ~ v3_struct_0(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ) )
| ~ sP1(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) )
& ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f132,plain,
! [X0] :
( ( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) )
& ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f131]) ).
fof(f134,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f118]) ).
fof(f135,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f118]) ).
fof(f136,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f118]) ).
fof(f138,plain,
( l3_lattices(k1_lattice2(sK2))
| v17_lattices(sK2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f142,plain,
( v17_lattices(k1_lattice2(sK2))
| v17_lattices(sK2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f146,plain,
( v10_lattices(k1_lattice2(sK2))
| v17_lattices(sK2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f150,plain,
( ~ v3_struct_0(k1_lattice2(sK2))
| v17_lattices(sK2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f153,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f155,plain,
! [X0] :
( v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f159,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f162,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f170,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f171,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f188,plain,
! [X0] :
( v11_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f189,plain,
! [X0] :
( v16_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f190,plain,
! [X0] :
( v15_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f191,plain,
! [X0] :
( v17_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f238,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0] :
( v16_lattices(k1_lattice2(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f240,plain,
! [X0] :
( v15_lattices(k1_lattice2(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f241,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f242,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f243,plain,
! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f245,plain,
! [X0] :
( v16_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f246,plain,
! [X0] :
( v15_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f249,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f250,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f265,plain,
! [X0] :
( v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f155]) ).
fof(f268,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f153,f136]) ).
fof(f269,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f268,f135]) ).
fof(f270,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f269,f134]) ).
fof(f272,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2) ),
inference(resolution,[],[f170,f270]) ).
fof(f273,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f272,f136]) ).
fof(f274,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f273,f134]) ).
fof(f277,plain,
( ~ v15_lattices(k1_lattice2(sK2))
| ~ v16_lattices(k1_lattice2(sK2))
| ~ v11_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2) ),
inference(resolution,[],[f191,f274]) ).
fof(f278,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v16_lattices(k1_lattice2(sK2))
| ~ v11_lattices(k1_lattice2(sK2))
| ~ v15_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2) ),
inference(duplicate_literal_removal,[],[f277]) ).
fof(f280,plain,
( ~ v16_lattices(k1_lattice2(sK2))
| ~ v11_lattices(k1_lattice2(sK2))
| ~ v15_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ sP1(sK2) ),
inference(resolution,[],[f278,f242]) ).
fof(f283,plain,
( ~ v11_lattices(k1_lattice2(sK2))
| ~ v15_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f280,f239]) ).
fof(f285,plain,
( ~ v11_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f283,f240]) ).
fof(f287,plain,
( ~ v11_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f285,f238]) ).
fof(f288,plain,
( ~ v11_lattices(k1_lattice2(sK2))
| ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f287,f241]) ).
fof(f289,plain,
( ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ sP1(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f288,f265]) ).
fof(f292,plain,
( ~ v17_lattices(sK2)
| ~ sP0(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f289,f250]) ).
fof(f294,plain,
( ~ v17_lattices(sK2)
| ~ sP0(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f292,f188]) ).
fof(f295,plain,
( ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f294,f136]) ).
fof(f296,plain,
( ~ v17_lattices(sK2)
| ~ sP0(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f295,f135]) ).
fof(f297,plain,
( ~ sP0(sK2)
| ~ v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f296,f134]) ).
fof(f299,plain,
( ~ v17_lattices(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v15_lattices(sK2)
| ~ v16_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f297,f249]) ).
fof(f300,plain,
( ~ v17_lattices(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v16_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f299,f190]) ).
fof(f301,plain,
( ~ v17_lattices(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f300,f189]) ).
fof(f302,plain,
( ~ v17_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f301,f136]) ).
fof(f303,plain,
( ~ v17_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f302,f135]) ).
fof(f304,plain,
~ v17_lattices(sK2),
inference(forward_subsumption_resolution,[],[f303,f134]) ).
fof(f305,plain,
( ~ v15_lattices(sK2)
| ~ v16_lattices(sK2)
| ~ v11_lattices(sK2)
| v3_struct_0(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f304,f191]) ).
fof(f306,plain,
( ~ v15_lattices(sK2)
| ~ v16_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f305,f136]) ).
fof(f307,plain,
( ~ v16_lattices(sK2)
| ~ v15_lattices(sK2)
| ~ v11_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f306,f134]) ).
fof(f309,plain,
( ~ v15_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ sP0(sK2) ),
inference(resolution,[],[f307,f245]) ).
fof(f310,plain,
( ~ sP0(sK2)
| ~ v11_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f309,f246]) ).
fof(f311,plain,
( sP0(sK2)
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v15_lattices(k1_lattice2(sK2))
| ~ v16_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ sP1(sK2)
| v17_lattices(sK2) ),
inference(resolution,[],[f243,f150]) ).
fof(f316,plain,
( sP0(sK2)
| ~ v15_lattices(k1_lattice2(sK2))
| ~ v16_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ sP1(sK2)
| v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f311,f146]) ).
fof(f317,plain,
( sP0(sK2)
| ~ v15_lattices(k1_lattice2(sK2))
| ~ v16_lattices(k1_lattice2(sK2))
| ~ sP1(sK2)
| v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f316,f138]) ).
fof(f318,plain,
( ~ v16_lattices(k1_lattice2(sK2))
| ~ v15_lattices(k1_lattice2(sK2))
| sP0(sK2)
| ~ sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f317,f304]) ).
fof(f320,plain,
! [X0] :
( v11_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f159,f170]) ).
fof(f321,plain,
! [X0] :
( v11_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f320,f162]) ).
fof(f322,plain,
! [X0] :
( ~ v11_lattices(k1_lattice2(X0))
| v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f321,f171]) ).
fof(f324,plain,
( ~ v15_lattices(k1_lattice2(sK2))
| sP0(sK2)
| ~ sP1(sK2)
| ~ v17_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f318,f189]) ).
fof(f328,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ sP1(sK2)
| ~ v17_lattices(k1_lattice2(sK2))
| sP0(sK2)
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f324,f190]) ).
fof(f330,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(resolution,[],[f322,f188]) ).
fof(f332,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[],[f330,f170]) ).
fof(f333,plain,
! [X0] :
( ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v11_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f332,f171]) ).
fof(f335,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| v11_lattices(sK2)
| v17_lattices(sK2) ),
inference(resolution,[],[f333,f142]) ).
fof(f337,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| v11_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f335,f188]) ).
fof(f338,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| v11_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f337,f136]) ).
fof(f339,plain,
( ~ l3_lattices(sK2)
| v11_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f338,f135]) ).
fof(f340,plain,
v11_lattices(sK2),
inference(forward_subsumption_resolution,[],[f339,f134]) ).
fof(f341,plain,
( ~ sP1(sK2)
| ~ v17_lattices(k1_lattice2(sK2))
| sP0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| v17_lattices(sK2) ),
inference(resolution,[],[f328,f150]) ).
fof(f346,plain,
( ~ sP1(sK2)
| sP0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f341,f142]) ).
fof(f348,plain,
( ~ sP1(sK2)
| sP0(sK2)
| v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f346,f138]) ).
fof(f350,plain,
( sP0(sK2)
| ~ sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f348,f304]) ).
fof(f360,plain,
( ~ sP1(sK2)
| ~ v11_lattices(sK2) ),
inference(resolution,[],[f350,f310]) ).
fof(f363,plain,
~ sP1(sK2),
inference(forward_subsumption_resolution,[],[f360,f340]) ).
fof(f365,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f363,f250]) ).
fof(f366,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f365,f136]) ).
fof(f367,plain,
~ l3_lattices(sK2),
inference(forward_subsumption_resolution,[],[f366,f135]) ).
fof(f368,plain,
$false,
inference(forward_subsumption_resolution,[],[f367,f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT319+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n020.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 14:35:05 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 2.48/1.29 % (3443343)Detected formulas, will run a generic FOF schedule.
% 2.48/1.29 % (3443513)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=982628475:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.48/1.29 % (3443510)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=1360546165:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.48/1.29 % (3443517)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2295647975:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.48/1.29 % (3443515)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=119922158:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.48/1.29 % (3443515)Refutation not found, incomplete strategy
% 2.48/1.29 % (3443515)------------------------------
% 2.48/1.29 % (3443515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.29 % (3443515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.29 % (3443515)CaDiCaL version: 2.1.3
% 2.48/1.29 % (3443515)Termination reason: Refutation not found, incomplete strategy
% 2.48/1.29 % (3443515)Time elapsed: 0.003 s
% 2.48/1.29 % (3443515)Peak memory usage: 88 MB
% 2.48/1.29 % (3443515)Instructions burned: 4 (million)
% 2.48/1.29 % (3443511)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=2270333174:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.48/1.29 % (3443518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2409355643:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.48/1.29 % (3443517)First to succeed.
% 2.48/1.29 % (3443517)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3443343"
% 2.48/1.29 % (3443519)dis-21_1_sil=8000:lcm=predicate:random_seed=2547307197:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.48/1.29 % (3443519)Instruction limit reached!
% 2.48/1.29 % (3443519)------------------------------
% 2.48/1.29 % (3443519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.29 % (3443519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.29 % (3443519)CaDiCaL version: 2.1.3
% 2.48/1.29 % (3443519)Termination reason: Instruction limit
% 2.48/1.29 % (3443519)Termination phase: Saturation
% 2.48/1.29 % (3443519)Time elapsed: 0.067 s
% 2.48/1.29 % (3443519)Peak memory usage: 91 MB
% 2.48/1.29 % (3443519)Instructions burned: 130 (million)
% 2.48/1.29 % (3443518)Instruction limit reached!
% 2.48/1.29 % (3443518)------------------------------
% 2.48/1.29 % (3443518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.29 % (3443518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.29 % (3443518)CaDiCaL version: 2.1.3
% 2.48/1.29 % (3443518)Termination reason: Instruction limit
% 2.48/1.29 % (3443518)Termination phase: Saturation
% 2.48/1.29 % (3443518)Time elapsed: 0.089 s
% 2.48/1.29 % (3443518)Peak memory usage: 90 MB
% 2.48/1.29 % (3443518)Instructions burned: 139 (million)
% 2.48/1.29 % (3443599)lrs+10_1_sil=8000:sp=occurrence:random_seed=4275250038:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.48/1.29 % (3443603)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2203108596:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.48/1.29 % (3443603)Also succeeded, but the first one will report.
% 2.48/1.29 % (3443599)Also succeeded, but the first one will report.
% 2.48/1.29 % (3443515)------------------------------
% 2.48/1.29 % (3443515)------------------------------
% 2.48/1.29 % (3443517)Refutation found. Thanks to Tanya!
% 2.48/1.29 % SZS status Theorem for theBenchmark
% 2.48/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.48 % (3443517)------------------------------
% 3.39/1.48 % (3443517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.48 % (3443517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.48 % (3443517)CaDiCaL version: 2.1.3
% 3.39/1.48 % (3443517)Termination reason: Refutation
% 3.39/1.48 % (3443517)Time elapsed: 0.006 s
% 3.39/1.48 % (3443517)Peak memory usage: 88 MB
% 3.39/1.48 % (3443517)Instructions burned: 9 (million)
% 3.39/1.48 % (3443517)------------------------------
% 3.39/1.48 % (3443517)------------------------------
% 3.39/1.48 % (3443343)Success in time 0.413 s
% 3.39/1.48 % Vampire exiting
%------------------------------------------------------------------------------