%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT319+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 : n014.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 4.72s 2.62s
% Output : Refutation 8.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 264 ( 21 unt; 17 def)
% Number of atoms : 1175 ( 0 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1507 ( 596 ~; 670 |; 198 &)
% ( 28 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 16 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 0 sgn 58 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6656,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v13_lattices(X0)
& v14_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v15_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_lattices) ).
fof(f6660,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f6661,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v17_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f6683,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_lattices) ).
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(f9440,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/sandbox/benchmark/theBenchmark.p',t65_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(f13645,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/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(f13646,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/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f13647,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)],[f13646]) ).
fof(f13732,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,[],[f13647]) ).
fof(f13733,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,[],[f13732]) ).
fof(f13760,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,[],[f13645]) ).
fof(f13761,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,[],[f13760]) ).
fof(f13768,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f13775,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,[],[f9440]) ).
fof(f13776,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,[],[f13775]) ).
fof(f13796,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(f13797,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13796]) ).
fof(f14067,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6683]) ).
fof(f14068,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14067]) ).
fof(f14071,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6661]) ).
fof(f14072,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14071]) ).
fof(f14073,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6660]) ).
fof(f14074,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14073]) ).
fof(f14077,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v15_lattices(X0) )
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6656]) ).
fof(f14078,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v15_lattices(X0) )
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14077]) ).
fof(f14361,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(f14362,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(f14363,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f13761,f14362,f14361]) ).
fof(f14401,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,[],[f13733]) ).
fof(f14402,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,[],[f14401]) ).
fof(f14403,plain,
( ( v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ v17_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ v17_lattices(sK23)
| ~ l3_lattices(sK23) )
& ( ( ~ v3_struct_0(k1_lattice2(sK23))
& v10_lattices(k1_lattice2(sK23))
& v17_lattices(k1_lattice2(sK23))
& l3_lattices(k1_lattice2(sK23)) )
| ( ~ v3_struct_0(sK23)
& v10_lattices(sK23)
& v17_lattices(sK23)
& l3_lattices(sK23) ) )
& ~ v3_struct_0(sK23)
& v10_lattices(sK23)
& l3_lattices(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X0,sK23)],[f14402]) ).
fof(f14407,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,[],[f14362]) ).
fof(f14408,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,[],[f14407]) ).
fof(f14409,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,[],[f14361]) ).
fof(f14410,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,[],[f14409]) ).
fof(f14412,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,[],[f13776]) ).
fof(f14413,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,[],[f14412]) ).
fof(f14524,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,[],[f14068]) ).
fof(f14525,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,[],[f14524]) ).
fof(f14628,plain,
l3_lattices(sK23),
inference(cnf_transformation,[],[f14403]) ).
fof(f14629,plain,
v10_lattices(sK23),
inference(cnf_transformation,[],[f14403]) ).
fof(f14630,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f14403]) ).
fof(f14636,plain,
( v17_lattices(k1_lattice2(sK23))
| v17_lattices(sK23) ),
inference(cnf_transformation,[],[f14403]) ).
fof(f14640,plain,
( v10_lattices(k1_lattice2(sK23))
| v17_lattices(sK23) ),
inference(cnf_transformation,[],[f14403]) ).
fof(f14647,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ v17_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ v17_lattices(sK23)
| ~ l3_lattices(sK23) ),
inference(cnf_transformation,[],[f14403]) ).
fof(f14666,plain,
! [X0] :
( v16_lattices(k1_lattice2(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f14408]) ).
fof(f14667,plain,
! [X0] :
( v15_lattices(k1_lattice2(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f14408]) ).
fof(f14670,plain,
! [X0] :
( ~ v16_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| sP0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f14408]) ).
fof(f14672,plain,
! [X0] :
( ~ sP0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f14410]) ).
fof(f14673,plain,
! [X0] :
( ~ sP0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f14410]) ).
fof(f14676,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14410]) ).
fof(f14677,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14363]) ).
fof(f14681,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13768]) ).
fof(f14688,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,[],[f14413]) ).
fof(f14689,plain,
! [X0] :
( v10_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,[],[f14413]) ).
fof(f14692,plain,
! [X0] :
( ~ v11_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v11_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14413]) ).
fof(f14721,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13797]) ).
fof(f15143,plain,
! [X0] :
( ~ v17_lattices(X0)
| v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14525]) ).
fof(f15144,plain,
! [X0] :
( ~ v17_lattices(X0)
| v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14525]) ).
fof(f15145,plain,
! [X0] :
( ~ v17_lattices(X0)
| v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14525]) ).
fof(f15166,plain,
! [X0] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14072]) ).
fof(f15170,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14074]) ).
fof(f15171,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14074]) ).
fof(f15172,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14074]) ).
fof(f15204,plain,
! [X0] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14078]) ).
fof(f15750,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f14689]) ).
fof(f15751,plain,
! [X0] :
( v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f14688]) ).
fof(f15791,definition,
( spl150_1
<=> v17_lattices(sK23) ),
introduced(definition,[new_symbols(definition,[spl150_1])],[avatar_definition]) ).
fof(f15792,plain,
( ~ v17_lattices(sK23)
| spl150_1 ),
inference(avatar_component_clause,[],[f15791]) ).
fof(f15793,plain,
( v17_lattices(sK23)
| ~ spl150_1 ),
inference(avatar_component_clause,[],[f15791]) ).
fof(f15795,definition,
( spl150_2
<=> l3_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_2])],[avatar_definition]) ).
fof(f15796,plain,
( ~ l3_lattices(k1_lattice2(sK23))
| spl150_2 ),
inference(avatar_component_clause,[],[f15795]) ).
fof(f15797,plain,
( l3_lattices(k1_lattice2(sK23))
| ~ spl150_2 ),
inference(avatar_component_clause,[],[f15795]) ).
fof(f15800,definition,
( spl150_3
<=> v17_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_3])],[avatar_definition]) ).
fof(f15801,plain,
( ~ v17_lattices(k1_lattice2(sK23))
| spl150_3 ),
inference(avatar_component_clause,[],[f15800]) ).
fof(f15802,plain,
( v17_lattices(k1_lattice2(sK23))
| ~ spl150_3 ),
inference(avatar_component_clause,[],[f15800]) ).
fof(f15803,plain,
( spl150_1
| spl150_3 ),
inference(avatar_split_clause,[],[f14636,f15800,f15791]) ).
fof(f15805,definition,
( spl150_4
<=> v10_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_4])],[avatar_definition]) ).
fof(f15806,plain,
( ~ v10_lattices(k1_lattice2(sK23))
| spl150_4 ),
inference(avatar_component_clause,[],[f15805]) ).
fof(f15807,plain,
( v10_lattices(k1_lattice2(sK23))
| ~ spl150_4 ),
inference(avatar_component_clause,[],[f15805]) ).
fof(f15808,plain,
( spl150_1
| spl150_4 ),
inference(avatar_split_clause,[],[f14640,f15805,f15791]) ).
fof(f15810,definition,
( spl150_5
<=> v3_struct_0(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_5])],[avatar_definition]) ).
fof(f15811,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ spl150_5 ),
inference(avatar_component_clause,[],[f15810]) ).
fof(f15812,plain,
( ~ v3_struct_0(k1_lattice2(sK23))
| spl150_5 ),
inference(avatar_component_clause,[],[f15810]) ).
fof(f15814,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ v17_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ v10_lattices(sK23)
| ~ v17_lattices(sK23)
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f14647,f14630]) ).
fof(f15815,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ v17_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ v17_lattices(sK23)
| ~ l3_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f15814,f14629]) ).
fof(f15816,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ v17_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ v17_lattices(sK23) ),
inference(forward_subsumption_resolution,[],[f15815,f14628]) ).
fof(f15817,plain,
( ~ spl150_1
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5 ),
inference(avatar_split_clause,[],[f15816,f15810,f15805,f15800,f15795,f15791]) ).
fof(f15818,plain,
( v3_struct_0(sK23)
| ~ v11_lattices(sK23)
| ~ v15_lattices(sK23)
| ~ v16_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_1 ),
inference(resolution,[],[f15792,f15166]) ).
fof(f15821,plain,
( ~ v11_lattices(sK23)
| ~ v15_lattices(sK23)
| ~ v16_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f15818,f14630]) ).
fof(f15823,plain,
( ~ v11_lattices(sK23)
| ~ v15_lattices(sK23)
| ~ v16_lattices(sK23)
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f15821,f14628]) ).
fof(f15825,definition,
( spl150_6
<=> v11_lattices(sK23) ),
introduced(definition,[new_symbols(definition,[spl150_6])],[avatar_definition]) ).
fof(f15826,plain,
( v11_lattices(sK23)
| ~ spl150_6 ),
inference(avatar_component_clause,[],[f15825]) ).
fof(f15827,plain,
( ~ v11_lattices(sK23)
| spl150_6 ),
inference(avatar_component_clause,[],[f15825]) ).
fof(f15829,definition,
( spl150_7
<=> v16_lattices(sK23) ),
introduced(definition,[new_symbols(definition,[spl150_7])],[avatar_definition]) ).
fof(f15830,plain,
( v16_lattices(sK23)
| ~ spl150_7 ),
inference(avatar_component_clause,[],[f15829]) ).
fof(f15831,plain,
( ~ v16_lattices(sK23)
| spl150_7 ),
inference(avatar_component_clause,[],[f15829]) ).
fof(f15833,definition,
( spl150_8
<=> v15_lattices(sK23) ),
introduced(definition,[new_symbols(definition,[spl150_8])],[avatar_definition]) ).
fof(f15834,plain,
( v15_lattices(sK23)
| ~ spl150_8 ),
inference(avatar_component_clause,[],[f15833]) ).
fof(f15835,plain,
( ~ v15_lattices(sK23)
| spl150_8 ),
inference(avatar_component_clause,[],[f15833]) ).
fof(f15837,plain,
( ~ spl150_7
| ~ spl150_8
| ~ spl150_6
| spl150_1 ),
inference(avatar_split_clause,[],[f15823,f15791,f15825,f15833,f15829]) ).
fof(f15843,plain,
( v3_struct_0(k1_lattice2(sK23))
| v14_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3 ),
inference(resolution,[],[f15802,f15170]) ).
fof(f15844,plain,
( v3_struct_0(k1_lattice2(sK23))
| v13_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3 ),
inference(resolution,[],[f15802,f15171]) ).
fof(f15845,plain,
( v3_struct_0(k1_lattice2(sK23))
| v11_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3 ),
inference(resolution,[],[f15802,f15172]) ).
fof(f15846,plain,
( v11_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15845,f15812]) ).
fof(f15847,plain,
( v13_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15844,f15812]) ).
fof(f15848,plain,
( v14_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15843,f15812]) ).
fof(f15854,plain,
( v11_lattices(k1_lattice2(sK23))
| ~ spl150_2
| ~ spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15846,f15797]) ).
fof(f15855,plain,
( v13_lattices(k1_lattice2(sK23))
| ~ spl150_2
| ~ spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15847,f15797]) ).
fof(f15856,plain,
( v14_lattices(k1_lattice2(sK23))
| ~ spl150_2
| ~ spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15848,f15797]) ).
fof(f15878,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| v11_lattices(sK23)
| ~ l3_lattices(k1_lattice2(sK23))
| v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_2
| ~ spl150_3
| spl150_5 ),
inference(resolution,[],[f15854,f14692]) ).
fof(f15879,plain,
( ~ v10_lattices(k1_lattice2(sK23))
| v11_lattices(sK23)
| ~ l3_lattices(k1_lattice2(sK23))
| v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_2
| ~ spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15878,f15812]) ).
fof(f15880,plain,
( v11_lattices(sK23)
| ~ l3_lattices(k1_lattice2(sK23))
| v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15879,f15807]) ).
fof(f15881,plain,
( ~ l3_lattices(k1_lattice2(sK23))
| v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15880,f15827]) ).
fof(f15882,plain,
( v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15881,f15797]) ).
fof(f15883,plain,
( ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15882,f14630]) ).
fof(f15884,plain,
( ~ l3_lattices(sK23)
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15883,f14629]) ).
fof(f15885,plain,
( $false
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15884,f14628]) ).
fof(f15886,plain,
( ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5
| spl150_6 ),
inference(avatar_contradiction_clause,[],[f15885]) ).
fof(f15887,plain,
( v11_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_1 ),
inference(resolution,[],[f15793,f15143]) ).
fof(f15888,plain,
( v16_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_1 ),
inference(resolution,[],[f15793,f15144]) ).
fof(f15889,plain,
( v15_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_1 ),
inference(resolution,[],[f15793,f15145]) ).
fof(f15900,plain,
( v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_1
| spl150_8 ),
inference(forward_subsumption_resolution,[],[f15889,f15835]) ).
fof(f15901,plain,
( v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_1
| spl150_7 ),
inference(forward_subsumption_resolution,[],[f15888,f15831]) ).
fof(f15902,plain,
( v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_1
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15887,f15827]) ).
fof(f15908,plain,
( ~ l3_lattices(sK23)
| ~ spl150_1
| spl150_8 ),
inference(forward_subsumption_resolution,[],[f15900,f14630]) ).
fof(f15909,plain,
( ~ l3_lattices(sK23)
| ~ spl150_1
| spl150_7 ),
inference(forward_subsumption_resolution,[],[f15901,f14630]) ).
fof(f15910,plain,
( ~ l3_lattices(sK23)
| ~ spl150_1
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15902,f14630]) ).
fof(f15921,plain,
( $false
| ~ spl150_1
| spl150_8 ),
inference(forward_subsumption_resolution,[],[f15908,f14628]) ).
fof(f15922,plain,
( ~ spl150_1
| spl150_8 ),
inference(avatar_contradiction_clause,[],[f15921]) ).
fof(f15923,plain,
( $false
| ~ spl150_1
| spl150_7 ),
inference(forward_subsumption_resolution,[],[f15909,f14628]) ).
fof(f15924,plain,
( ~ spl150_1
| spl150_7 ),
inference(avatar_contradiction_clause,[],[f15923]) ).
fof(f15925,plain,
( $false
| ~ spl150_1
| spl150_6 ),
inference(forward_subsumption_resolution,[],[f15910,f14628]) ).
fof(f15926,plain,
( ~ spl150_1
| spl150_6 ),
inference(avatar_contradiction_clause,[],[f15925]) ).
fof(f15928,plain,
( ~ l3_lattices(sK23)
| spl150_2 ),
inference(resolution,[],[f15796,f14681]) ).
fof(f15931,definition,
( spl150_11
<=> sP1(sK23) ),
introduced(definition,[new_symbols(definition,[spl150_11])],[avatar_definition]) ).
fof(f15932,plain,
( sP1(sK23)
| ~ spl150_11 ),
inference(avatar_component_clause,[],[f15931]) ).
fof(f15933,plain,
( ~ sP1(sK23)
| spl150_11 ),
inference(avatar_component_clause,[],[f15931]) ).
fof(f15935,definition,
( spl150_12
<=> sP0(sK23) ),
introduced(definition,[new_symbols(definition,[spl150_12])],[avatar_definition]) ).
fof(f15936,plain,
( sP0(sK23)
| ~ spl150_12 ),
inference(avatar_component_clause,[],[f15935]) ).
fof(f15937,plain,
( ~ sP0(sK23)
| spl150_12 ),
inference(avatar_component_clause,[],[f15935]) ).
fof(f15939,plain,
( $false
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f15928,f14628]) ).
fof(f15940,plain,
spl150_2,
inference(avatar_contradiction_clause,[],[f15939]) ).
fof(f15946,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v11_lattices(k1_lattice2(sK23))
| ~ v15_lattices(k1_lattice2(sK23))
| ~ v16_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| spl150_3 ),
inference(resolution,[],[f15801,f15166]) ).
fof(f15949,plain,
( ~ v11_lattices(k1_lattice2(sK23))
| ~ v15_lattices(k1_lattice2(sK23))
| ~ v16_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15946,f15812]) ).
fof(f15951,plain,
( ~ v11_lattices(k1_lattice2(sK23))
| ~ v15_lattices(k1_lattice2(sK23))
| ~ v16_lattices(k1_lattice2(sK23))
| ~ spl150_2
| spl150_3
| spl150_5 ),
inference(forward_subsumption_resolution,[],[f15949,f15797]) ).
fof(f15953,definition,
( spl150_13
<=> v11_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_13])],[avatar_definition]) ).
fof(f15955,plain,
( ~ v11_lattices(k1_lattice2(sK23))
| spl150_13 ),
inference(avatar_component_clause,[],[f15953]) ).
fof(f15957,definition,
( spl150_14
<=> v16_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_14])],[avatar_definition]) ).
fof(f15958,plain,
( v16_lattices(k1_lattice2(sK23))
| ~ spl150_14 ),
inference(avatar_component_clause,[],[f15957]) ).
fof(f15959,plain,
( ~ v16_lattices(k1_lattice2(sK23))
| spl150_14 ),
inference(avatar_component_clause,[],[f15957]) ).
fof(f15961,definition,
( spl150_15
<=> v15_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_15])],[avatar_definition]) ).
fof(f15962,plain,
( v15_lattices(k1_lattice2(sK23))
| ~ spl150_15 ),
inference(avatar_component_clause,[],[f15961]) ).
fof(f15963,plain,
( ~ v15_lattices(k1_lattice2(sK23))
| spl150_15 ),
inference(avatar_component_clause,[],[f15961]) ).
fof(f15965,plain,
( ~ spl150_14
| ~ spl150_15
| ~ spl150_13
| ~ spl150_2
| spl150_3
| spl150_5 ),
inference(avatar_split_clause,[],[f15951,f15810,f15800,f15795,f15953,f15961,f15957]) ).
fof(f15970,plain,
( v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_11 ),
inference(resolution,[],[f15933,f14677]) ).
fof(f15971,plain,
( ~ v10_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_11 ),
inference(forward_subsumption_resolution,[],[f15970,f14630]) ).
fof(f15972,plain,
( ~ l3_lattices(sK23)
| spl150_11 ),
inference(forward_subsumption_resolution,[],[f15971,f14629]) ).
fof(f15973,plain,
( $false
| spl150_11 ),
inference(forward_subsumption_resolution,[],[f15972,f14628]) ).
fof(f15974,plain,
spl150_11,
inference(avatar_contradiction_clause,[],[f15973]) ).
fof(f15975,plain,
( v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ v15_lattices(sK23)
| ~ v16_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_12 ),
inference(resolution,[],[f15937,f14676]) ).
fof(f15976,plain,
( ~ v10_lattices(sK23)
| ~ v15_lattices(sK23)
| ~ v16_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_12 ),
inference(forward_subsumption_resolution,[],[f15975,f14630]) ).
fof(f15977,plain,
( ~ v15_lattices(sK23)
| ~ v16_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_12 ),
inference(forward_subsumption_resolution,[],[f15976,f14629]) ).
fof(f15978,plain,
( ~ v16_lattices(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_8
| spl150_12 ),
inference(forward_subsumption_resolution,[],[f15977,f15834]) ).
fof(f15979,plain,
( ~ l3_lattices(sK23)
| ~ spl150_7
| ~ spl150_8
| spl150_12 ),
inference(forward_subsumption_resolution,[],[f15978,f15830]) ).
fof(f15980,plain,
( $false
| ~ spl150_7
| ~ spl150_8
| spl150_12 ),
inference(forward_subsumption_resolution,[],[f15979,f14628]) ).
fof(f15981,plain,
( ~ spl150_7
| ~ spl150_8
| spl150_12 ),
inference(avatar_contradiction_clause,[],[f15980]) ).
fof(f15983,plain,
( v16_lattices(sK23)
| ~ spl150_12 ),
inference(resolution,[],[f15936,f14672]) ).
fof(f15984,plain,
( v15_lattices(sK23)
| ~ spl150_12 ),
inference(resolution,[],[f15936,f14673]) ).
fof(f15987,plain,
( v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ v11_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_13 ),
inference(resolution,[],[f15955,f15751]) ).
fof(f15988,plain,
( ~ v10_lattices(sK23)
| ~ v11_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_13 ),
inference(forward_subsumption_resolution,[],[f15987,f14630]) ).
fof(f15989,plain,
( ~ v11_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_13 ),
inference(forward_subsumption_resolution,[],[f15988,f14629]) ).
fof(f15990,plain,
( ~ l3_lattices(sK23)
| ~ spl150_6
| spl150_13 ),
inference(forward_subsumption_resolution,[],[f15989,f15826]) ).
fof(f15991,plain,
( $false
| ~ spl150_6
| spl150_13 ),
inference(forward_subsumption_resolution,[],[f15990,f14628]) ).
fof(f15992,plain,
( ~ spl150_6
| spl150_13 ),
inference(avatar_contradiction_clause,[],[f15991]) ).
fof(f15994,plain,
( ~ sP0(sK23)
| ~ sP1(sK23)
| spl150_14 ),
inference(resolution,[],[f15959,f14666]) ).
fof(f15995,plain,
( ~ sP1(sK23)
| ~ spl150_12
| spl150_14 ),
inference(forward_subsumption_resolution,[],[f15994,f15936]) ).
fof(f15996,plain,
( $false
| ~ spl150_11
| ~ spl150_12
| spl150_14 ),
inference(forward_subsumption_resolution,[],[f15995,f15932]) ).
fof(f15997,plain,
( ~ spl150_11
| ~ spl150_12
| spl150_14 ),
inference(avatar_contradiction_clause,[],[f15996]) ).
fof(f15998,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v10_lattices(k1_lattice2(sK23))
| ~ v15_lattices(k1_lattice2(sK23))
| sP0(sK23)
| ~ l3_lattices(k1_lattice2(sK23))
| ~ sP1(sK23)
| ~ spl150_14 ),
inference(resolution,[],[f15958,f14670]) ).
fof(f15999,plain,
( ~ sP0(sK23)
| ~ sP1(sK23)
| spl150_15 ),
inference(resolution,[],[f15963,f14667]) ).
fof(f16000,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ v13_lattices(k1_lattice2(sK23))
| ~ v14_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| spl150_15 ),
inference(resolution,[],[f15963,f15204]) ).
fof(f16003,plain,
( ~ v13_lattices(k1_lattice2(sK23))
| ~ v14_lattices(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| spl150_5
| spl150_15 ),
inference(forward_subsumption_resolution,[],[f16000,f15812]) ).
fof(f16004,plain,
( ~ sP1(sK23)
| ~ spl150_12
| spl150_15 ),
inference(forward_subsumption_resolution,[],[f15999,f15936]) ).
fof(f16006,plain,
( ~ v13_lattices(k1_lattice2(sK23))
| ~ v14_lattices(k1_lattice2(sK23))
| ~ spl150_2
| spl150_5
| spl150_15 ),
inference(forward_subsumption_resolution,[],[f16003,f15797]) ).
fof(f16007,plain,
( $false
| ~ spl150_11
| ~ spl150_12
| spl150_15 ),
inference(forward_subsumption_resolution,[],[f16004,f15932]) ).
fof(f16008,plain,
( ~ spl150_11
| ~ spl150_12
| spl150_15 ),
inference(avatar_contradiction_clause,[],[f16007]) ).
fof(f16010,definition,
( spl150_16
<=> v14_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_16])],[avatar_definition]) ).
fof(f16012,plain,
( ~ v14_lattices(k1_lattice2(sK23))
| spl150_16 ),
inference(avatar_component_clause,[],[f16010]) ).
fof(f16014,definition,
( spl150_17
<=> v13_lattices(k1_lattice2(sK23)) ),
introduced(definition,[new_symbols(definition,[spl150_17])],[avatar_definition]) ).
fof(f16016,plain,
( ~ v13_lattices(k1_lattice2(sK23))
| spl150_17 ),
inference(avatar_component_clause,[],[f16014]) ).
fof(f16018,plain,
( ~ spl150_16
| ~ spl150_17
| ~ spl150_2
| spl150_5
| spl150_15 ),
inference(avatar_split_clause,[],[f16006,f15961,f15810,f15795,f16014,f16010]) ).
fof(f16019,plain,
( v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ spl150_5 ),
inference(resolution,[],[f15811,f14721]) ).
fof(f16025,plain,
( ~ l3_lattices(sK23)
| ~ spl150_5 ),
inference(forward_subsumption_resolution,[],[f16019,f14630]) ).
fof(f16029,plain,
( $false
| ~ spl150_5 ),
inference(forward_subsumption_resolution,[],[f16025,f14628]) ).
fof(f16030,plain,
~ spl150_5,
inference(avatar_contradiction_clause,[],[f16029]) ).
fof(f16034,plain,
( $false
| ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_16 ),
inference(forward_subsumption_resolution,[],[f15856,f16012]) ).
fof(f16035,plain,
( ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_16 ),
inference(avatar_contradiction_clause,[],[f16034]) ).
fof(f16036,plain,
( $false
| ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_17 ),
inference(forward_subsumption_resolution,[],[f15855,f16016]) ).
fof(f16037,plain,
( ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_17 ),
inference(avatar_contradiction_clause,[],[f16036]) ).
fof(f16039,plain,
( v16_lattices(k1_lattice2(sK23))
| v3_struct_0(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3 ),
inference(resolution,[],[f15802,f15144]) ).
fof(f16047,plain,
( v3_struct_0(sK23)
| ~ v10_lattices(sK23)
| ~ v11_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_4 ),
inference(resolution,[],[f15806,f15750]) ).
fof(f16050,plain,
( ~ v10_lattices(sK23)
| ~ v11_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_4 ),
inference(forward_subsumption_resolution,[],[f16047,f14630]) ).
fof(f16053,plain,
( ~ v11_lattices(sK23)
| ~ l3_lattices(sK23)
| spl150_4 ),
inference(forward_subsumption_resolution,[],[f16050,f14629]) ).
fof(f16054,plain,
( ~ l3_lattices(sK23)
| spl150_4
| ~ spl150_6 ),
inference(forward_subsumption_resolution,[],[f16053,f15826]) ).
fof(f16055,plain,
( $false
| spl150_4
| ~ spl150_6 ),
inference(forward_subsumption_resolution,[],[f16054,f14628]) ).
fof(f16056,plain,
( spl150_4
| ~ spl150_6 ),
inference(avatar_contradiction_clause,[],[f16055]) ).
fof(f16057,plain,
( $false
| spl150_7
| ~ spl150_12 ),
inference(forward_subsumption_resolution,[],[f15983,f15831]) ).
fof(f16058,plain,
( spl150_7
| ~ spl150_12 ),
inference(avatar_contradiction_clause,[],[f16057]) ).
fof(f16059,plain,
( ~ v10_lattices(k1_lattice2(sK23))
| ~ v15_lattices(k1_lattice2(sK23))
| sP0(sK23)
| ~ l3_lattices(k1_lattice2(sK23))
| ~ sP1(sK23)
| spl150_5
| ~ spl150_14 ),
inference(forward_subsumption_resolution,[],[f15998,f15812]) ).
fof(f16060,plain,
( ~ v15_lattices(k1_lattice2(sK23))
| sP0(sK23)
| ~ l3_lattices(k1_lattice2(sK23))
| ~ sP1(sK23)
| ~ spl150_4
| spl150_5
| ~ spl150_14 ),
inference(forward_subsumption_resolution,[],[f16059,f15807]) ).
fof(f16061,plain,
( sP0(sK23)
| ~ l3_lattices(k1_lattice2(sK23))
| ~ sP1(sK23)
| ~ spl150_4
| spl150_5
| ~ spl150_14
| ~ spl150_15 ),
inference(forward_subsumption_resolution,[],[f16060,f15962]) ).
fof(f16062,plain,
( ~ l3_lattices(k1_lattice2(sK23))
| ~ sP1(sK23)
| ~ spl150_4
| spl150_5
| spl150_12
| ~ spl150_14
| ~ spl150_15 ),
inference(forward_subsumption_resolution,[],[f16061,f15937]) ).
fof(f16063,plain,
( ~ sP1(sK23)
| ~ spl150_2
| ~ spl150_4
| spl150_5
| spl150_12
| ~ spl150_14
| ~ spl150_15 ),
inference(forward_subsumption_resolution,[],[f16062,f15797]) ).
fof(f16064,plain,
( $false
| ~ spl150_2
| ~ spl150_4
| spl150_5
| ~ spl150_11
| spl150_12
| ~ spl150_14
| ~ spl150_15 ),
inference(forward_subsumption_resolution,[],[f16063,f15932]) ).
fof(f16065,plain,
( ~ spl150_2
| ~ spl150_4
| spl150_5
| ~ spl150_11
| spl150_12
| ~ spl150_14
| ~ spl150_15 ),
inference(avatar_contradiction_clause,[],[f16064]) ).
fof(f16066,plain,
( $false
| spl150_8
| ~ spl150_12 ),
inference(forward_subsumption_resolution,[],[f15984,f15835]) ).
fof(f16067,plain,
( spl150_8
| ~ spl150_12 ),
inference(avatar_contradiction_clause,[],[f16066]) ).
fof(f16071,plain,
( v3_struct_0(k1_lattice2(sK23))
| ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3
| spl150_14 ),
inference(forward_subsumption_resolution,[],[f16039,f15959]) ).
fof(f16073,plain,
( ~ l3_lattices(k1_lattice2(sK23))
| ~ spl150_3
| spl150_5
| spl150_14 ),
inference(forward_subsumption_resolution,[],[f16071,f15812]) ).
fof(f16076,plain,
( $false
| ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_14 ),
inference(forward_subsumption_resolution,[],[f16073,f15797]) ).
fof(f16077,plain,
( ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_14 ),
inference(avatar_contradiction_clause,[],[f16076]) ).
cnf(s2,plain,
( spl150_1
| spl150_3 ),
inference(sat_conversion,[],[f15803]) ).
cnf(s3,plain,
( spl150_1
| spl150_4 ),
inference(sat_conversion,[],[f15808]) ).
cnf(s5,plain,
( ~ spl150_1
| ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5 ),
inference(sat_conversion,[],[f15817]) ).
cnf(s7,plain,
( spl150_1
| ~ spl150_6
| ~ spl150_7
| ~ spl150_8 ),
inference(sat_conversion,[],[f15837]) ).
cnf(s10,plain,
( ~ spl150_2
| ~ spl150_3
| ~ spl150_4
| spl150_5
| spl150_6 ),
inference(sat_conversion,[],[f15886]) ).
cnf(s16,plain,
( ~ spl150_1
| spl150_8 ),
inference(sat_conversion,[],[f15922]) ).
cnf(s17,plain,
( ~ spl150_1
| spl150_7 ),
inference(sat_conversion,[],[f15924]) ).
cnf(s18,plain,
( ~ spl150_1
| spl150_6 ),
inference(sat_conversion,[],[f15926]) ).
cnf(s20,plain,
spl150_2,
inference(sat_conversion,[],[f15940]) ).
cnf(s23,plain,
( ~ spl150_2
| spl150_3
| spl150_5
| ~ spl150_13
| ~ spl150_14
| ~ spl150_15 ),
inference(sat_conversion,[],[f15965]) ).
cnf(s24,plain,
spl150_11,
inference(sat_conversion,[],[f15974]) ).
cnf(s25,plain,
( ~ spl150_7
| ~ spl150_8
| spl150_12 ),
inference(sat_conversion,[],[f15981]) ).
cnf(s26,plain,
( ~ spl150_6
| spl150_13 ),
inference(sat_conversion,[],[f15992]) ).
cnf(s27,plain,
( ~ spl150_11
| ~ spl150_12
| spl150_14 ),
inference(sat_conversion,[],[f15997]) ).
cnf(s28,plain,
( ~ spl150_11
| ~ spl150_12
| spl150_15 ),
inference(sat_conversion,[],[f16008]) ).
cnf(s30,plain,
( ~ spl150_2
| spl150_5
| spl150_15
| ~ spl150_16
| ~ spl150_17 ),
inference(sat_conversion,[],[f16018]) ).
cnf(s32,plain,
~ spl150_5,
inference(sat_conversion,[],[f16030]) ).
cnf(s34,plain,
( ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_16 ),
inference(sat_conversion,[],[f16035]) ).
cnf(s35,plain,
( ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_17 ),
inference(sat_conversion,[],[f16037]) ).
cnf(s37,plain,
( spl150_4
| ~ spl150_6 ),
inference(sat_conversion,[],[f16056]) ).
cnf(s38,plain,
( spl150_7
| ~ spl150_12 ),
inference(sat_conversion,[],[f16058]) ).
cnf(s39,plain,
( ~ spl150_2
| ~ spl150_4
| spl150_5
| ~ spl150_11
| spl150_12
| ~ spl150_14
| ~ spl150_15 ),
inference(sat_conversion,[],[f16065]) ).
cnf(s40,plain,
( spl150_8
| ~ spl150_12 ),
inference(sat_conversion,[],[f16067]) ).
cnf(s43,plain,
( ~ spl150_2
| ~ spl150_3
| spl150_5
| spl150_14 ),
inference(sat_conversion,[],[f16077]) ).
cnf(s44,plain,
( ~ spl150_2
| spl150_15
| ~ spl150_16
| ~ spl150_17 ),
inference(rat,[],[s30,s32]) ).
cnf(s46,plain,
( ~ spl150_2
| spl150_3
| ~ spl150_13
| ~ spl150_14
| ~ spl150_15 ),
inference(rat,[],[s23,s32]) ).
cnf(s48,plain,
( ~ spl150_3
| ~ spl150_4
| spl150_6 ),
inference(rat,[],[s10,s32,s20]) ).
cnf(s49,plain,
( ~ spl150_1
| ~ spl150_3
| ~ spl150_4 ),
inference(rat,[],[s5,s32,s20]) ).
cnf(s50,plain,
spl150_1,
inference(rat,[],[s7,s38,s40,s39,s44,s48,s34,s35,s43,s2,s3,s32,s24,s20]) ).
cnf(s51,plain,
spl150_6,
inference(rat,[],[s18,s50]) ).
cnf(s52,plain,
spl150_7,
inference(rat,[],[s17,s50]) ).
cnf(s53,plain,
spl150_8,
inference(rat,[],[s16,s50]) ).
cnf(s56,plain,
spl150_4,
inference(rat,[],[s37,s51]) ).
cnf(s57,plain,
spl150_13,
inference(rat,[],[s26,s51]) ).
cnf(s58,plain,
spl150_12,
inference(rat,[],[s25,s53,s52]) ).
cnf(s59,plain,
~ spl150_3,
inference(rat,[],[s49,s50,s56]) ).
cnf(s60,plain,
spl150_15,
inference(rat,[],[s28,s24,s58]) ).
cnf(s61,plain,
spl150_14,
inference(rat,[],[s27,s24,s58]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s46,s57,s59,s20,s60,s61]) ).
fof(f16078,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT319+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:34:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.72/2.62 % (874423)Detected formulas, will run a generic FOF schedule.
% 4.72/2.62 % (874428)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=2909626693:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 4.72/2.62 % (874433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1808358394:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 4.72/2.62 % (874431)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3209792569:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 4.72/2.62 % (874430)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=129741150:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 4.72/2.62 % (874432)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3900457417:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 4.72/2.62 % (874429)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=1351225589:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 4.72/2.62 % (874434)dis-21_1_sil=8000:lcm=predicate:random_seed=2607689021:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 4.72/2.62 % (874433)Instruction limit reached!
% 4.72/2.62 % (874433)------------------------------
% 4.72/2.62 % (874433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874433)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874433)Termination reason: Instruction limit
% 4.72/2.62 % (874433)Termination phase: Property scanning
% 4.72/2.62 % (874433)Time elapsed: 0.059 s
% 4.72/2.62 % (874433)Peak memory usage: 102 MB
% 4.72/2.62 % (874433)Instructions burned: 139 (million)
% 4.72/2.62 % (874431)Refutation not found, incomplete strategy
% 4.72/2.62 % (874431)------------------------------
% 4.72/2.62 % (874431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874431)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874431)Termination reason: Refutation not found, incomplete strategy
% 4.72/2.62 % (874431)Time elapsed: 0.066 s
% 4.72/2.62 % (874431)Peak memory usage: 107 MB
% 4.72/2.62 % (874431)Instructions burned: 80 (million)
% 4.72/2.62 % (874432)Instruction limit reached!
% 4.72/2.62 % (874432)------------------------------
% 4.72/2.62 % (874432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874432)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874432)Termination reason: Instruction limit
% 4.72/2.62 % (874432)Termination phase: Property scanning
% 4.72/2.62 % (874432)Time elapsed: 0.092 s
% 4.72/2.62 % (874432)Peak memory usage: 105 MB
% 4.72/2.62 % (874432)Instructions burned: 119 (million)
% 4.72/2.62 % (874434)Instruction limit reached!
% 4.72/2.62 % (874434)------------------------------
% 4.72/2.62 % (874434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874434)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874434)Termination reason: Instruction limit
% 4.72/2.62 % (874434)Termination phase: Preprocessing 1
% 4.72/2.62 % (874434)Time elapsed: 0.095 s
% 4.72/2.62 % (874434)Peak memory usage: 103 MB
% 4.72/2.62 % (874434)Instructions burned: 129 (million)
% 4.72/2.62 % (874442)lrs+10_1_sil=8000:sp=occurrence:random_seed=786495780:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 4.72/2.62 % (874443)lrs+10_1_sil=32000:urr=on:br=off:random_seed=117743927:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 4.72/2.62 % (874444)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3996820682:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 4.72/2.62 % (874431)------------------------------
% 4.72/2.62 % (874431)------------------------------
% 4.72/2.62 % (874443)Instruction limit reached!
% 4.72/2.62 % (874443)------------------------------
% 4.72/2.62 % (874443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874443)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874443)Termination reason: Instruction limit
% 4.72/2.62 % (874443)Termination phase: Property scanning
% 4.72/2.62 % (874443)Time elapsed: 0.081 s
% 4.72/2.62 % (874443)Peak memory usage: 102 MB
% 4.72/2.62 % (874443)Instructions burned: 159 (million)
% 4.72/2.62 % (874444)Refutation not found, incomplete strategy
% 4.72/2.62 % (874444)------------------------------
% 4.72/2.62 % (874444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874444)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874444)Termination reason: Refutation not found, incomplete strategy
% 4.72/2.62 % (874444)Time elapsed: 0.071 s
% 4.72/2.62 % (874444)Peak memory usage: 107 MB
% 4.72/2.62 % (874444)Instructions burned: 81 (million)
% 4.72/2.62 % (874442)Instruction limit reached!
% 4.72/2.62 % (874442)------------------------------
% 4.72/2.62 % (874442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874442)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874442)Termination reason: Instruction limit
% 4.72/2.62 % (874442)Termination phase: Saturation
% 4.72/2.62 % (874442)Time elapsed: 0.194 s
% 4.72/2.62 % (874442)Peak memory usage: 108 MB
% 4.72/2.62 % (874442)Instructions burned: 286 (million)
% 4.72/2.62 % (874448)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=3453806583:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 4.72/2.62 % (874449)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1494299200:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 4.72/2.62 % (874450)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=962435508:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 4.72/2.62 % (874444)------------------------------
% 4.72/2.62 % (874444)------------------------------
% 4.72/2.62 % (874449)First to succeed.
% 4.72/2.62 % (874448)Instruction limit reached!
% 4.72/2.62 % (874448)------------------------------
% 4.72/2.62 % (874448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874448)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874448)Termination reason: Instruction limit
% 4.72/2.62 % (874448)Termination phase: SInE selection
% 4.72/2.62 % (874448)Time elapsed: 0.130 s
% 4.72/2.62 % (874448)Peak memory usage: 103 MB
% 4.72/2.62 % (874448)Instructions burned: 248 (million)
% 4.72/2.62 % (874449)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-874423"
% 4.72/2.62 % (874454)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1869219049:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 4.72/2.62 % (874455)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=55864835:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 4.72/2.62 % (874454)Instruction limit reached!
% 4.72/2.62 % (874454)------------------------------
% 4.72/2.62 % (874454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/2.62 % (874454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/2.62 % (874454)CaDiCaL version: 2.1.3
% 4.72/2.62 % (874454)Termination reason: Instruction limit
% 4.72/2.62 % (874454)Termination phase: Preprocessing 3
% 4.72/2.62 % (874454)Time elapsed: 0.097 s
% 4.72/2.62 % (874454)Peak memory usage: 105 MB
% 4.72/2.62 % (874454)Instructions burned: 114 (million)
% 4.72/2.62 % (874449)Refutation found. Thanks to Tanya!
% 4.72/2.62 % SZS status Theorem for theBenchmark
% 4.72/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 8.74/2.72 % (874449)------------------------------
% 8.74/2.72 % (874449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.72 % (874449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.72 % (874449)CaDiCaL version: 2.1.3
% 8.74/2.72 % (874449)Termination reason: Refutation
% 8.74/2.72 % (874449)Time elapsed: 0.123 s
% 8.74/2.72 % (874449)Peak memory usage: 110 MB
% 8.74/2.72 % (874449)Instructions burned: 179 (million)
% 8.74/2.72 % (874449)------------------------------
% 8.74/2.72 % (874449)------------------------------
% 8.74/2.72 % (874423)Success in time 1.755 s
% 8.74/2.72 % Vampire exiting
%------------------------------------------------------------------------------