%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT319+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 6.39s 4.42s
% Output : Refutation 12.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of formulae : 229 ( 25 unt; 18 def)
% Number of atoms : 1098 ( 0 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1388 ( 519 ~; 599 |; 226 &)
% ( 29 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 17 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 59 ( 0 sgn 55 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18128,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/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f18129,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/sandbox2/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f18151,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(f22747,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f22752,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f22829,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(f22852,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f34720,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(f34721,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(f34722,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)],[f34721]) ).
fof(f34754,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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,[],[f22752]) ).
fof(f34990,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,[],[f34720]) ).
fof(f34991,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,[],[f34990]) ).
fof(f34992,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,[],[f34722]) ).
fof(f34993,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,[],[f34992]) ).
fof(f35098,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f35101,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,[],[f22829]) ).
fof(f35102,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,[],[f35101]) ).
fof(f35118,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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,[],[f34754]) ).
fof(f35119,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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,[],[f35118]) ).
fof(f35120,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f35121,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35120]) ).
fof(f35369,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18151]) ).
fof(f35370,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35369]) ).
fof(f35371,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,[],[f18129]) ).
fof(f35372,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,[],[f35371]) ).
fof(f35373,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,[],[f18128]) ).
fof(f35374,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,[],[f35373]) ).
fof(f35504,definition,
! [X0] :
( sP1(X0)
<=> ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f35505,definition,
! [X0] :
( ( sP1(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)) ) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f35506,plain,
! [X0] :
( sP2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f34991,f35505,f35504]) ).
fof(f35568,plain,
! [X0] :
( ( ( sP1(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)) )
| ~ sP1(X0) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f35505]) ).
fof(f35569,plain,
! [X0] :
( ( ( sP1(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)) )
| ~ sP1(X0) ) )
| ~ sP2(X0) ),
inference(flattening,[],[f35568]) ).
fof(f35570,plain,
! [X0] :
( ( sP1(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) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f35504]) ).
fof(f35571,plain,
! [X0] :
( ( sP1(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) )
| ~ sP1(X0) ) ),
inference(flattening,[],[f35570]) ).
fof(f35572,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,[],[f34993]) ).
fof(f35573,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,[],[f35572]) ).
fof(f35574,plain,
( ( v3_struct_0(k1_lattice2(sK35))
| ~ v10_lattices(k1_lattice2(sK35))
| ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ v17_lattices(sK35)
| ~ l3_lattices(sK35) )
& ( ( ~ v3_struct_0(k1_lattice2(sK35))
& v10_lattices(k1_lattice2(sK35))
& v17_lattices(k1_lattice2(sK35))
& l3_lattices(k1_lattice2(sK35)) )
| ( ~ v3_struct_0(sK35)
& v10_lattices(sK35)
& v17_lattices(sK35)
& l3_lattices(sK35) ) )
& ~ v3_struct_0(sK35)
& v10_lattices(sK35)
& l3_lattices(sK35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f35573]) ).
fof(f35620,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,[],[f35102]) ).
fof(f35621,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,[],[f35620]) ).
fof(f35762,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,[],[f35370]) ).
fof(f35763,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,[],[f35762]) ).
fof(f36036,plain,
! [X0] :
( v16_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f35569]) ).
fof(f36037,plain,
! [X0] :
( v15_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f35569]) ).
fof(f36040,plain,
! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP1(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f35569]) ).
fof(f36042,plain,
! [X0] :
( v16_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f35571]) ).
fof(f36043,plain,
! [X0] :
( v15_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f35571]) ).
fof(f36046,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35571]) ).
fof(f36047,plain,
! [X0] :
( sP2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35506]) ).
fof(f36048,plain,
l3_lattices(sK35),
inference(cnf_transformation,[],[f35574]) ).
fof(f36049,plain,
v10_lattices(sK35),
inference(cnf_transformation,[],[f35574]) ).
fof(f36050,plain,
~ v3_struct_0(sK35),
inference(cnf_transformation,[],[f35574]) ).
fof(f36051,plain,
( l3_lattices(k1_lattice2(sK35))
| l3_lattices(sK35) ),
inference(cnf_transformation,[],[f35574]) ).
fof(f36056,plain,
( v17_lattices(k1_lattice2(sK35))
| v17_lattices(sK35) ),
inference(cnf_transformation,[],[f35574]) ).
fof(f36060,plain,
( v10_lattices(k1_lattice2(sK35))
| v17_lattices(sK35) ),
inference(cnf_transformation,[],[f35574]) ).
fof(f36067,plain,
( v3_struct_0(k1_lattice2(sK35))
| ~ v10_lattices(k1_lattice2(sK35))
| ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ v17_lattices(sK35)
| ~ l3_lattices(sK35) ),
inference(cnf_transformation,[],[f35574]) ).
fof(f36192,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35098]) ).
fof(f36197,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,[],[f35621]) ).
fof(f36201,plain,
! [X0] :
( v3_struct_0(k1_lattice2(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(cnf_transformation,[],[f35621]) ).
fof(f36217,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35119]) ).
fof(f36226,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35121]) ).
fof(f36570,plain,
! [X0] :
( v11_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35763]) ).
fof(f36589,plain,
! [X0] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35372]) ).
fof(f36591,plain,
! [X0] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35374]) ).
fof(f36592,plain,
! [X0] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35374]) ).
fof(f36595,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35374]) ).
fof(f36851,plain,
! [X0] :
( v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f36197]) ).
fof(f36867,plain,
l3_lattices(k1_lattice2(sK35)),
inference(forward_subsumption_resolution,[],[f36051,f36192]) ).
fof(f36869,definition,
( spl162_1
<=> v17_lattices(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_1])],[avatar_definition]) ).
fof(f36870,plain,
( v17_lattices(sK35)
| ~ spl162_1 ),
inference(avatar_component_clause,[],[f36869]) ).
fof(f36872,definition,
( spl162_2
<=> l3_lattices(k1_lattice2(sK35)) ),
introduced(definition,[new_symbols(definition,[spl162_2])],[avatar_definition]) ).
fof(f36873,plain,
( l3_lattices(k1_lattice2(sK35))
| ~ spl162_2 ),
inference(avatar_component_clause,[],[f36872]) ).
fof(f36876,definition,
( spl162_3
<=> v10_lattices(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_3])],[avatar_definition]) ).
fof(f36877,plain,
( v10_lattices(sK35)
| ~ spl162_3 ),
inference(avatar_component_clause,[],[f36876]) ).
fof(f36880,definition,
( spl162_4
<=> v3_struct_0(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_4])],[avatar_definition]) ).
fof(f36881,plain,
( ~ v3_struct_0(sK35)
| spl162_4 ),
inference(avatar_component_clause,[],[f36880]) ).
fof(f36884,definition,
( spl162_5
<=> l3_lattices(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_5])],[avatar_definition]) ).
fof(f36885,plain,
( l3_lattices(sK35)
| ~ spl162_5 ),
inference(avatar_component_clause,[],[f36884]) ).
fof(f36887,definition,
( spl162_6
<=> v17_lattices(k1_lattice2(sK35)) ),
introduced(definition,[new_symbols(definition,[spl162_6])],[avatar_definition]) ).
fof(f36888,plain,
( v17_lattices(k1_lattice2(sK35))
| ~ spl162_6 ),
inference(avatar_component_clause,[],[f36887]) ).
fof(f36890,plain,
( spl162_1
| spl162_6 ),
inference(avatar_split_clause,[],[f36056,f36887,f36869]) ).
fof(f36894,definition,
( spl162_7
<=> v10_lattices(k1_lattice2(sK35)) ),
introduced(definition,[new_symbols(definition,[spl162_7])],[avatar_definition]) ).
fof(f36895,plain,
( v10_lattices(k1_lattice2(sK35))
| ~ spl162_7 ),
inference(avatar_component_clause,[],[f36894]) ).
fof(f36897,plain,
( spl162_1
| spl162_7 ),
inference(avatar_split_clause,[],[f36060,f36894,f36869]) ).
fof(f36901,definition,
( spl162_8
<=> v3_struct_0(k1_lattice2(sK35)) ),
introduced(definition,[new_symbols(definition,[spl162_8])],[avatar_definition]) ).
fof(f36902,plain,
( ~ v3_struct_0(k1_lattice2(sK35))
| spl162_8 ),
inference(avatar_component_clause,[],[f36901]) ).
fof(f36907,plain,
( ~ v10_lattices(k1_lattice2(sK35))
| ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ v17_lattices(sK35)
| ~ l3_lattices(sK35) ),
inference(forward_subsumption_resolution,[],[f36067,f36226]) ).
fof(f36908,plain,
spl162_2,
inference(avatar_split_clause,[],[f36867,f36872]) ).
fof(f36909,plain,
( ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ v17_lattices(sK35)
| ~ l3_lattices(sK35) ),
inference(forward_subsumption_resolution,[],[f36907,f36217]) ).
fof(f36910,plain,
( ~ v17_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ v17_lattices(sK35)
| ~ l3_lattices(sK35) ),
inference(forward_subsumption_resolution,[],[f36909,f36192]) ).
fof(f36912,plain,
( ~ v17_lattices(sK35)
| spl162_1 ),
inference(avatar_component_clause,[],[f36869]) ).
fof(f36915,plain,
( ~ v17_lattices(k1_lattice2(sK35))
| spl162_6 ),
inference(avatar_component_clause,[],[f36887]) ).
fof(f36916,plain,
( ~ spl162_5
| ~ spl162_1
| ~ spl162_3
| spl162_4
| ~ spl162_6 ),
inference(avatar_split_clause,[],[f36910,f36887,f36880,f36876,f36869,f36884]) ).
fof(f36917,plain,
spl162_5,
inference(avatar_split_clause,[],[f36048,f36884]) ).
fof(f36918,plain,
spl162_3,
inference(avatar_split_clause,[],[f36049,f36876]) ).
fof(f36919,plain,
~ spl162_4,
inference(avatar_split_clause,[],[f36050,f36880]) ).
fof(f36920,plain,
( v3_struct_0(sK35)
| ~ v11_lattices(sK35)
| ~ v15_lattices(sK35)
| ~ v16_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_1 ),
inference(resolution,[],[f36912,f36589]) ).
fof(f36923,plain,
( ~ v11_lattices(sK35)
| ~ v15_lattices(sK35)
| ~ v16_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_1
| spl162_4 ),
inference(forward_subsumption_resolution,[],[f36920,f36881]) ).
fof(f36925,plain,
( ~ v11_lattices(sK35)
| ~ v15_lattices(sK35)
| ~ v16_lattices(sK35)
| spl162_1
| spl162_4
| ~ spl162_5 ),
inference(forward_subsumption_resolution,[],[f36923,f36885]) ).
fof(f36927,definition,
( spl162_9
<=> v11_lattices(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_9])],[avatar_definition]) ).
fof(f36928,plain,
( ~ v11_lattices(sK35)
| spl162_9 ),
inference(avatar_component_clause,[],[f36927]) ).
fof(f36930,definition,
( spl162_10
<=> v16_lattices(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_10])],[avatar_definition]) ).
fof(f36931,plain,
( ~ v16_lattices(sK35)
| spl162_10 ),
inference(avatar_component_clause,[],[f36930]) ).
fof(f36933,definition,
( spl162_11
<=> v15_lattices(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_11])],[avatar_definition]) ).
fof(f36934,plain,
( ~ v15_lattices(sK35)
| spl162_11 ),
inference(avatar_component_clause,[],[f36933]) ).
fof(f36936,plain,
( ~ spl162_10
| ~ spl162_11
| ~ spl162_9
| spl162_1
| spl162_4
| ~ spl162_5 ),
inference(avatar_split_clause,[],[f36925,f36884,f36880,f36869,f36927,f36933,f36930]) ).
fof(f36938,plain,
( ~ v17_lattices(sK35)
| v3_struct_0(sK35)
| ~ l3_lattices(sK35)
| spl162_9 ),
inference(resolution,[],[f36928,f36570]) ).
fof(f36939,plain,
( v11_lattices(sK35)
| ~ v10_lattices(k1_lattice2(sK35))
| ~ v11_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_8 ),
inference(resolution,[],[f36902,f36201]) ).
fof(f36940,plain,
( sP1(sK35)
| ~ v10_lattices(k1_lattice2(sK35))
| ~ v15_lattices(k1_lattice2(sK35))
| ~ v16_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| ~ sP2(sK35)
| spl162_8 ),
inference(resolution,[],[f36902,f36040]) ).
fof(f36941,plain,
( sP1(sK35)
| ~ v15_lattices(k1_lattice2(sK35))
| ~ v16_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| ~ sP2(sK35)
| ~ spl162_7
| spl162_8 ),
inference(forward_subsumption_resolution,[],[f36940,f36895]) ).
fof(f36942,plain,
( ~ v10_lattices(k1_lattice2(sK35))
| ~ v11_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f36939,f36928]) ).
fof(f36943,plain,
( sP1(sK35)
| ~ v15_lattices(k1_lattice2(sK35))
| ~ v16_lattices(k1_lattice2(sK35))
| ~ sP2(sK35)
| ~ spl162_2
| ~ spl162_7
| spl162_8 ),
inference(forward_subsumption_resolution,[],[f36941,f36873]) ).
fof(f36944,plain,
( ~ v11_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f36942,f36217]) ).
fof(f36946,definition,
( spl162_12
<=> sP2(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_12])],[avatar_definition]) ).
fof(f36947,plain,
( ~ sP2(sK35)
| spl162_12 ),
inference(avatar_component_clause,[],[f36946]) ).
fof(f36949,definition,
( spl162_13
<=> v16_lattices(k1_lattice2(sK35)) ),
introduced(definition,[new_symbols(definition,[spl162_13])],[avatar_definition]) ).
fof(f36950,plain,
( ~ v16_lattices(k1_lattice2(sK35))
| spl162_13 ),
inference(avatar_component_clause,[],[f36949]) ).
fof(f36952,definition,
( spl162_14
<=> v15_lattices(k1_lattice2(sK35)) ),
introduced(definition,[new_symbols(definition,[spl162_14])],[avatar_definition]) ).
fof(f36953,plain,
( ~ v15_lattices(k1_lattice2(sK35))
| spl162_14 ),
inference(avatar_component_clause,[],[f36952]) ).
fof(f36955,definition,
( spl162_15
<=> sP1(sK35) ),
introduced(definition,[new_symbols(definition,[spl162_15])],[avatar_definition]) ).
fof(f36956,plain,
( sP1(sK35)
| ~ spl162_15 ),
inference(avatar_component_clause,[],[f36955]) ).
fof(f36957,plain,
( ~ spl162_12
| ~ spl162_13
| ~ spl162_14
| spl162_15
| ~ spl162_2
| ~ spl162_7
| spl162_8 ),
inference(avatar_split_clause,[],[f36943,f36901,f36894,f36872,f36955,f36952,f36949,f36946]) ).
fof(f36958,plain,
( ~ v11_lattices(k1_lattice2(sK35))
| v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f36944,f36192]) ).
fof(f36959,plain,
( ~ v11_lattices(k1_lattice2(sK35))
| ~ v10_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_4
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f36958,f36881]) ).
fof(f36960,plain,
( ~ v11_lattices(k1_lattice2(sK35))
| ~ l3_lattices(sK35)
| ~ spl162_3
| spl162_4
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f36959,f36877]) ).
fof(f36961,plain,
( ~ v11_lattices(k1_lattice2(sK35))
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f36960,f36885]) ).
fof(f36962,plain,
( v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_12 ),
inference(resolution,[],[f36947,f36047]) ).
fof(f36963,plain,
( ~ v10_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_4
| spl162_12 ),
inference(forward_subsumption_resolution,[],[f36962,f36881]) ).
fof(f36964,plain,
( ~ l3_lattices(sK35)
| ~ spl162_3
| spl162_4
| spl162_12 ),
inference(forward_subsumption_resolution,[],[f36963,f36877]) ).
fof(f36965,plain,
( $false
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_12 ),
inference(forward_subsumption_resolution,[],[f36964,f36885]) ).
fof(f36966,plain,
( ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_12 ),
inference(avatar_contradiction_clause,[],[f36965]) ).
fof(f36968,plain,
( v3_struct_0(k1_lattice2(sK35))
| ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| spl162_13 ),
inference(resolution,[],[f36950,f36591]) ).
fof(f36972,plain,
( ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| spl162_8
| spl162_13 ),
inference(forward_subsumption_resolution,[],[f36968,f36902]) ).
fof(f36973,plain,
( ~ sP1(sK35)
| spl162_15 ),
inference(avatar_component_clause,[],[f36955]) ).
fof(f36976,plain,
( ~ l3_lattices(k1_lattice2(sK35))
| ~ spl162_6
| spl162_8
| spl162_13 ),
inference(forward_subsumption_resolution,[],[f36972,f36888]) ).
fof(f36979,plain,
( $false
| ~ spl162_2
| ~ spl162_6
| spl162_8
| spl162_13 ),
inference(forward_subsumption_resolution,[],[f36976,f36873]) ).
fof(f36980,plain,
( ~ spl162_2
| ~ spl162_6
| spl162_8
| spl162_13 ),
inference(avatar_contradiction_clause,[],[f36979]) ).
fof(f36981,plain,
( ~ sP1(sK35)
| ~ sP2(sK35)
| spl162_14 ),
inference(resolution,[],[f36953,f36037]) ).
fof(f36982,plain,
( v3_struct_0(k1_lattice2(sK35))
| ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| spl162_14 ),
inference(resolution,[],[f36953,f36592]) ).
fof(f36991,plain,
( ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| spl162_8
| spl162_14 ),
inference(forward_subsumption_resolution,[],[f36982,f36902]) ).
fof(f36992,plain,
( ~ spl162_12
| ~ spl162_15
| spl162_14 ),
inference(avatar_split_clause,[],[f36981,f36952,f36955,f36946]) ).
fof(f36996,plain,
( ~ l3_lattices(k1_lattice2(sK35))
| ~ spl162_6
| spl162_8
| spl162_14 ),
inference(forward_subsumption_resolution,[],[f36991,f36888]) ).
fof(f37007,plain,
( $false
| ~ spl162_2
| ~ spl162_6
| spl162_8
| spl162_14 ),
inference(forward_subsumption_resolution,[],[f36996,f36873]) ).
fof(f37008,plain,
( ~ spl162_2
| ~ spl162_6
| spl162_8
| spl162_14 ),
inference(avatar_contradiction_clause,[],[f37007]) ).
fof(f37011,plain,
( v3_struct_0(k1_lattice2(sK35))
| ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_8
| spl162_9 ),
inference(resolution,[],[f36961,f36595]) ).
fof(f37014,plain,
( ~ v17_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f37011,f36902]) ).
fof(f37022,plain,
( ~ v17_lattices(k1_lattice2(sK35))
| ~ spl162_2
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_8
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f37014,f36873]) ).
fof(f37023,plain,
( ~ v17_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_4
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f36938,f36881]) ).
fof(f37026,plain,
( ~ spl162_6
| ~ spl162_2
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_8
| spl162_9 ),
inference(avatar_split_clause,[],[f37022,f36927,f36901,f36884,f36880,f36876,f36872,f36887]) ).
fof(f37027,plain,
( ~ v17_lattices(sK35)
| spl162_4
| ~ spl162_5
| spl162_9 ),
inference(forward_subsumption_resolution,[],[f37023,f36885]) ).
fof(f37029,plain,
( ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_9 ),
inference(avatar_split_clause,[],[f37027,f36927,f36884,f36880,f36869]) ).
fof(f37036,definition,
( spl162_18
<=> v11_lattices(k1_lattice2(sK35)) ),
introduced(definition,[new_symbols(definition,[spl162_18])],[avatar_definition]) ).
fof(f37037,plain,
( ~ v11_lattices(k1_lattice2(sK35))
| spl162_18 ),
inference(avatar_component_clause,[],[f37036]) ).
fof(f37038,plain,
( v11_lattices(sK35)
| ~ spl162_9 ),
inference(avatar_component_clause,[],[f36927]) ).
fof(f37040,plain,
( v3_struct_0(k1_lattice2(sK35))
| ~ v11_lattices(k1_lattice2(sK35))
| ~ v15_lattices(k1_lattice2(sK35))
| ~ v16_lattices(k1_lattice2(sK35))
| ~ l3_lattices(k1_lattice2(sK35))
| spl162_6 ),
inference(resolution,[],[f36915,f36589]) ).
fof(f37048,plain,
( v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ v11_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_18 ),
inference(resolution,[],[f37037,f36851]) ).
fof(f37051,plain,
( ~ v10_lattices(sK35)
| ~ v11_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_4
| spl162_18 ),
inference(forward_subsumption_resolution,[],[f37048,f36881]) ).
fof(f37052,plain,
( ~ v11_lattices(sK35)
| ~ l3_lattices(sK35)
| ~ spl162_3
| spl162_4
| spl162_18 ),
inference(forward_subsumption_resolution,[],[f37051,f36877]) ).
fof(f37053,plain,
( ~ l3_lattices(sK35)
| ~ spl162_3
| spl162_4
| ~ spl162_9
| spl162_18 ),
inference(forward_subsumption_resolution,[],[f37052,f37038]) ).
fof(f37054,plain,
( $false
| ~ spl162_3
| spl162_4
| ~ spl162_5
| ~ spl162_9
| spl162_18 ),
inference(forward_subsumption_resolution,[],[f37053,f36885]) ).
fof(f37055,plain,
( ~ spl162_3
| spl162_4
| ~ spl162_5
| ~ spl162_9
| spl162_18 ),
inference(avatar_contradiction_clause,[],[f37054]) ).
fof(f37056,plain,
( ~ sP1(sK35)
| ~ sP2(sK35)
| spl162_13 ),
inference(resolution,[],[f36950,f36036]) ).
fof(f37060,plain,
( ~ spl162_12
| ~ spl162_15
| spl162_13 ),
inference(avatar_split_clause,[],[f37056,f36949,f36955,f36946]) ).
fof(f37061,plain,
( v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ v15_lattices(sK35)
| ~ v16_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_15 ),
inference(resolution,[],[f36973,f36046]) ).
fof(f37062,plain,
( ~ v10_lattices(sK35)
| ~ v15_lattices(sK35)
| ~ v16_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_4
| spl162_15 ),
inference(forward_subsumption_resolution,[],[f37061,f36881]) ).
fof(f37063,plain,
( ~ v15_lattices(sK35)
| ~ v16_lattices(sK35)
| ~ l3_lattices(sK35)
| ~ spl162_3
| spl162_4
| spl162_15 ),
inference(forward_subsumption_resolution,[],[f37062,f36877]) ).
fof(f37064,plain,
( ~ v15_lattices(sK35)
| ~ v16_lattices(sK35)
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_15 ),
inference(forward_subsumption_resolution,[],[f37063,f36885]) ).
fof(f37065,plain,
( ~ spl162_10
| ~ spl162_11
| ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_15 ),
inference(avatar_split_clause,[],[f37064,f36955,f36884,f36880,f36876,f36933,f36930]) ).
fof(f37066,plain,
( v3_struct_0(sK35)
| ~ v17_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_10 ),
inference(resolution,[],[f36931,f36591]) ).
fof(f37068,plain,
( ~ sP1(sK35)
| spl162_10 ),
inference(resolution,[],[f36931,f36042]) ).
fof(f37070,plain,
( ~ v17_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_4
| spl162_10 ),
inference(forward_subsumption_resolution,[],[f37066,f36881]) ).
fof(f37072,plain,
( ~ l3_lattices(sK35)
| ~ spl162_1
| spl162_4
| spl162_10 ),
inference(forward_subsumption_resolution,[],[f37070,f36870]) ).
fof(f37075,plain,
( $false
| ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_10 ),
inference(forward_subsumption_resolution,[],[f37072,f36885]) ).
fof(f37076,plain,
( ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_10 ),
inference(avatar_contradiction_clause,[],[f37075]) ).
fof(f37077,plain,
( v3_struct_0(sK35)
| ~ v17_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_11 ),
inference(resolution,[],[f36934,f36592]) ).
fof(f37082,plain,
( ~ sP1(sK35)
| spl162_11 ),
inference(resolution,[],[f36934,f36043]) ).
fof(f37086,plain,
( ~ v17_lattices(sK35)
| ~ l3_lattices(sK35)
| spl162_4
| spl162_11 ),
inference(forward_subsumption_resolution,[],[f37077,f36881]) ).
fof(f37090,plain,
( ~ l3_lattices(sK35)
| ~ spl162_1
| spl162_4
| spl162_11 ),
inference(forward_subsumption_resolution,[],[f37086,f36870]) ).
fof(f37101,plain,
( $false
| ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_11 ),
inference(forward_subsumption_resolution,[],[f37090,f36885]) ).
fof(f37102,plain,
( ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_11 ),
inference(avatar_contradiction_clause,[],[f37101]) ).
fof(f37104,plain,
( v3_struct_0(k1_lattice2(sK35))
| ~ v11_lattices(k1_lattice2(sK35))
| ~ v15_lattices(k1_lattice2(sK35))
| ~ v16_lattices(k1_lattice2(sK35))
| ~ spl162_2
| spl162_6 ),
inference(forward_subsumption_resolution,[],[f37040,f36873]) ).
fof(f37105,plain,
( v3_struct_0(k1_lattice2(sK35))
| ~ spl162_8 ),
inference(avatar_component_clause,[],[f36901]) ).
fof(f37107,plain,
( ~ spl162_13
| ~ spl162_14
| ~ spl162_18
| spl162_8
| ~ spl162_2
| spl162_6 ),
inference(avatar_split_clause,[],[f37104,f36887,f36872,f36901,f37036,f36952,f36949]) ).
fof(f37109,plain,
( v3_struct_0(sK35)
| ~ l3_lattices(sK35)
| ~ spl162_8 ),
inference(resolution,[],[f37105,f36226]) ).
fof(f37116,plain,
( ~ l3_lattices(sK35)
| spl162_4
| ~ spl162_8 ),
inference(forward_subsumption_resolution,[],[f37109,f36881]) ).
fof(f37120,plain,
( $false
| spl162_4
| ~ spl162_5
| ~ spl162_8 ),
inference(forward_subsumption_resolution,[],[f37116,f36885]) ).
fof(f37121,plain,
( spl162_4
| ~ spl162_5
| ~ spl162_8 ),
inference(avatar_contradiction_clause,[],[f37120]) ).
fof(f37127,plain,
( $false
| spl162_11
| ~ spl162_15 ),
inference(forward_subsumption_resolution,[],[f37082,f36956]) ).
fof(f37128,plain,
( spl162_11
| ~ spl162_15 ),
inference(avatar_contradiction_clause,[],[f37127]) ).
fof(f37129,plain,
( $false
| spl162_10
| ~ spl162_15 ),
inference(forward_subsumption_resolution,[],[f37068,f36956]) ).
fof(f37130,plain,
( spl162_10
| ~ spl162_15 ),
inference(avatar_contradiction_clause,[],[f37129]) ).
cnf(s5,plain,
( spl162_1
| spl162_6 ),
inference(sat_conversion,[],[f36890]) ).
cnf(s9,plain,
( spl162_1
| spl162_7 ),
inference(sat_conversion,[],[f36897]) ).
cnf(s16,plain,
spl162_2,
inference(sat_conversion,[],[f36908]) ).
cnf(s17,plain,
( ~ spl162_1
| ~ spl162_3
| spl162_4
| ~ spl162_5
| ~ spl162_6 ),
inference(sat_conversion,[],[f36916]) ).
cnf(s18,plain,
spl162_5,
inference(sat_conversion,[],[f36917]) ).
cnf(s19,plain,
spl162_3,
inference(sat_conversion,[],[f36918]) ).
cnf(s20,plain,
~ spl162_4,
inference(sat_conversion,[],[f36919]) ).
cnf(s22,plain,
( spl162_1
| spl162_4
| ~ spl162_5
| ~ spl162_9
| ~ spl162_10
| ~ spl162_11 ),
inference(sat_conversion,[],[f36936]) ).
cnf(s23,plain,
( ~ spl162_2
| ~ spl162_7
| spl162_8
| ~ spl162_12
| ~ spl162_13
| ~ spl162_14
| spl162_15 ),
inference(sat_conversion,[],[f36957]) ).
cnf(s24,plain,
( ~ spl162_3
| spl162_4
| ~ spl162_5
| spl162_12 ),
inference(sat_conversion,[],[f36966]) ).
cnf(s27,plain,
( ~ spl162_2
| ~ spl162_6
| spl162_8
| spl162_13 ),
inference(sat_conversion,[],[f36980]) ).
cnf(s28,plain,
( ~ spl162_12
| spl162_14
| ~ spl162_15 ),
inference(sat_conversion,[],[f36992]) ).
cnf(s32,plain,
( ~ spl162_2
| ~ spl162_6
| spl162_8
| spl162_14 ),
inference(sat_conversion,[],[f37008]) ).
cnf(s35,plain,
( ~ spl162_2
| ~ spl162_3
| spl162_4
| ~ spl162_5
| ~ spl162_6
| spl162_8
| spl162_9 ),
inference(sat_conversion,[],[f37026]) ).
cnf(s37,plain,
( ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_9 ),
inference(sat_conversion,[],[f37029]) ).
cnf(s42,plain,
( ~ spl162_3
| spl162_4
| ~ spl162_5
| ~ spl162_9
| spl162_18 ),
inference(sat_conversion,[],[f37055]) ).
cnf(s43,plain,
( ~ spl162_12
| spl162_13
| ~ spl162_15 ),
inference(sat_conversion,[],[f37060]) ).
cnf(s44,plain,
( ~ spl162_3
| spl162_4
| ~ spl162_5
| ~ spl162_10
| ~ spl162_11
| spl162_15 ),
inference(sat_conversion,[],[f37065]) ).
cnf(s46,plain,
( ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_10 ),
inference(sat_conversion,[],[f37076]) ).
cnf(s50,plain,
( ~ spl162_1
| spl162_4
| ~ spl162_5
| spl162_11 ),
inference(sat_conversion,[],[f37102]) ).
cnf(s52,plain,
( ~ spl162_2
| spl162_6
| spl162_8
| ~ spl162_13
| ~ spl162_14
| ~ spl162_18 ),
inference(sat_conversion,[],[f37107]) ).
cnf(s54,plain,
( spl162_4
| ~ spl162_5
| ~ spl162_8 ),
inference(sat_conversion,[],[f37121]) ).
cnf(s57,plain,
( spl162_11
| ~ spl162_15 ),
inference(sat_conversion,[],[f37128]) ).
cnf(s58,plain,
( spl162_10
| ~ spl162_15 ),
inference(sat_conversion,[],[f37130]) ).
cnf(s59,plain,
~ spl162_8,
inference(rat,[],[s54,s20,s18]) ).
cnf(s60,plain,
spl162_12,
inference(rat,[],[s24,s19,s20,s18]) ).
cnf(s61,plain,
( ~ spl162_1
| ~ spl162_6 ),
inference(rat,[],[s17,s18,s20,s19]) ).
cnf(s62,plain,
spl162_1,
inference(rat,[],[s22,s57,s58,s23,s35,s27,s32,s5,s9,s20,s18,s59,s60,s16,s19]) ).
cnf(s63,plain,
spl162_11,
inference(rat,[],[s50,s18,s20,s62]) ).
cnf(s64,plain,
spl162_10,
inference(rat,[],[s46,s18,s20,s62]) ).
cnf(s65,plain,
spl162_9,
inference(rat,[],[s37,s18,s20,s62]) ).
cnf(s66,plain,
~ spl162_6,
inference(rat,[],[s61,s62]) ).
cnf(s67,plain,
spl162_15,
inference(rat,[],[s44,s63,s18,s19,s20,s64]) ).
cnf(s68,plain,
spl162_18,
inference(rat,[],[s42,s18,s19,s20,s65]) ).
cnf(s69,plain,
spl162_13,
inference(rat,[],[s43,s60,s67]) ).
cnf(s70,plain,
spl162_14,
inference(rat,[],[s28,s60,s67]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s52,s66,s70,s16,s59,s69,s68]) ).
fof(f37131,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT319+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.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 14:35:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.39/4.42 % (1027190)Detected formulas, will run a generic FOF schedule.
% 6.39/4.42 % (1027198)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=131178489:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 6.39/4.42 % (1027195)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=760876881:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 6.39/4.42 % (1027197)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=1652762718:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 6.39/4.42 % (1027196)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=1524811493:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 6.39/4.42 % (1027198)Instruction limit reached!
% 6.39/4.42 % (1027198)------------------------------
% 6.39/4.42 % (1027198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027198)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027198)Termination reason: Instruction limit
% 6.39/4.42 % (1027198)Termination phase: SInE selection
% 6.39/4.42 % (1027198)Time elapsed: 0.049 s
% 6.39/4.42 % (1027198)Peak memory usage: 136 MB
% 6.39/4.42 % (1027198)Instructions burned: 110 (million)
% 6.39/4.42 % (1027199)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=172195914:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 6.39/4.42 % (1027200)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2526038515:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 6.39/4.42 % (1027201)dis-21_1_sil=8000:lcm=predicate:random_seed=1730635333:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 6.39/4.42 % (1027200)Instruction limit reached!
% 6.39/4.42 % (1027200)------------------------------
% 6.39/4.42 % (1027200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027200)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027200)Termination reason: Instruction limit
% 6.39/4.42 % (1027200)Termination phase: Property scanning
% 6.39/4.42 % (1027200)Time elapsed: 0.063 s
% 6.39/4.42 % (1027200)Peak memory usage: 136 MB
% 6.39/4.42 % (1027200)Instructions burned: 141 (million)
% 6.39/4.42 % (1027199)Instruction limit reached!
% 6.39/4.42 % (1027199)------------------------------
% 6.39/4.42 % (1027199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027199)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027199)Termination reason: Instruction limit
% 6.39/4.42 % (1027199)Termination phase: SInE selection
% 6.39/4.42 % (1027199)Time elapsed: 0.085 s
% 6.39/4.42 % (1027199)Peak memory usage: 136 MB
% 6.39/4.42 % (1027199)Instructions burned: 120 (million)
% 6.39/4.42 % (1027201)Instruction limit reached!
% 6.39/4.42 % (1027201)------------------------------
% 6.39/4.42 % (1027201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027201)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027201)Termination reason: Instruction limit
% 6.39/4.42 % (1027201)Termination phase: SInE selection
% 6.39/4.42 % (1027201)Time elapsed: 0.088 s
% 6.39/4.42 % (1027201)Peak memory usage: 136 MB
% 6.39/4.42 % (1027201)Instructions burned: 129 (million)
% 6.39/4.42 % (1027209)lrs+10_1_sil=8000:sp=occurrence:random_seed=2931878586:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 6.39/4.42 % (1027210)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2680991805:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 6.39/4.42 % (1027209)Instruction limit reached!
% 6.39/4.42 % (1027209)------------------------------
% 6.39/4.42 % (1027209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027209)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027209)Termination reason: Instruction limit
% 6.39/4.42 % (1027209)Termination phase: Saturation
% 6.39/4.42 % (1027209)Time elapsed: 0.129 s
% 6.39/4.42 % (1027209)Peak memory usage: 142 MB
% 6.39/4.42 % (1027209)Instructions burned: 286 (million)
% 6.39/4.42 % (1027212)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=1903439953:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 6.39/4.42 % (1027211)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3105505985:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 6.39/4.42 % (1027210)Instruction limit reached!
% 6.39/4.42 % (1027210)------------------------------
% 6.39/4.42 % (1027210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027210)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027210)Termination reason: Instruction limit
% 6.39/4.42 % (1027210)Termination phase: Property scanning
% 6.39/4.42 % (1027210)Time elapsed: 0.071 s
% 6.39/4.42 % (1027210)Peak memory usage: 136 MB
% 6.39/4.42 % (1027210)Instructions burned: 158 (million)
% 6.39/4.42 % (1027212)Instruction limit reached!
% 6.39/4.42 % (1027212)------------------------------
% 6.39/4.42 % (1027212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027212)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027212)Termination reason: Instruction limit
% 6.39/4.42 % (1027212)Termination phase: Property scanning
% 6.39/4.42 % (1027212)Time elapsed: 0.106 s
% 6.39/4.42 % (1027212)Peak memory usage: 136 MB
% 6.39/4.42 % (1027212)Instructions burned: 249 (million)
% 6.39/4.42 % (1027217)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3694467627:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 6.39/4.42 % (1027218)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2676907871:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 6.39/4.42 % (1027211)Instruction limit reached!
% 6.39/4.42 % (1027211)------------------------------
% 6.39/4.42 % (1027211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027211)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027211)Termination reason: Instruction limit
% 6.39/4.42 % (1027211)Termination phase: Saturation
% 6.39/4.42 % (1027211)Time elapsed: 0.242 s
% 6.39/4.42 % (1027211)Peak memory usage: 142 MB
% 6.39/4.42 % (1027211)Instructions burned: 326 (million)
% 6.39/4.42 % (1027219)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=811274952:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 6.39/4.42 % (1027217)Instruction limit reached!
% 6.39/4.42 % (1027217)------------------------------
% 6.39/4.42 % (1027217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027217)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027217)Termination reason: Instruction limit
% 6.39/4.42 % (1027217)Termination phase: SInE selection
% 6.39/4.42 % (1027217)Time elapsed: 0.180 s
% 6.39/4.42 % (1027217)Peak memory usage: 137 MB
% 6.39/4.42 % (1027217)Instructions burned: 294 (million)
% 6.39/4.42 % (1027219)Instruction limit reached!
% 6.39/4.42 % (1027219)------------------------------
% 6.39/4.42 % (1027219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027219)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027219)Termination reason: Instruction limit
% 6.39/4.42 % (1027219)Termination phase: SInE selection
% 6.39/4.42 % (1027219)Time elapsed: 0.084 s
% 6.39/4.42 % (1027219)Peak memory usage: 136 MB
% 6.39/4.42 % (1027219)Instructions burned: 114 (million)
% 6.39/4.42 % (1027222)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=240504657:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 6.39/4.42 % (1027222)Instruction limit reached!
% 6.39/4.42 % (1027222)------------------------------
% 6.39/4.42 % (1027222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027222)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027222)Termination reason: Instruction limit
% 6.39/4.42 % (1027222)Termination phase: Preprocessing 1
% 6.39/4.42 % (1027222)Time elapsed: 0.095 s
% 6.39/4.42 % (1027222)Peak memory usage: 137 MB
% 6.39/4.42 % (1027222)Instructions burned: 127 (million)
% 6.39/4.42 % (1027225)lrs+10_1_sil=8000:sp=occurrence:random_seed=2309041843:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 6.39/4.42 % (1027224)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=23629215:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 6.39/4.42 % (1027224)Instruction limit reached!
% 6.39/4.42 % (1027224)------------------------------
% 6.39/4.42 % (1027224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/4.42 % (1027224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/4.42 % (1027224)CaDiCaL version: 2.1.3
% 6.39/4.42 % (1027224)Termination reason: Instruction limit
% 6.39/4.42 % (1027224)Termination phase: Property scanning
% 6.39/4.42 % (1027224)Time elapsed: 0.054 s
% 6.39/4.42 % (1027224)Peak memory usage: 136 MB
% 6.39/4.42 % (1027224)Instructions burned: 115 (million)
% 6.39/4.42 % (1027227)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1999522072:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 6.39/4.42 % (1027230)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1439636350:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 6.39/4.42 % (1027227)First to succeed.
% 6.39/4.42 % (1027227)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1027190"
% 6.39/4.42 % (1027227)Refutation found. Thanks to Tanya!
% 6.39/4.42 % SZS status Theorem for theBenchmark
% 6.39/4.42 % SZS output start Proof for theBenchmark
% See solution above
% 12.67/4.67 % (1027227)------------------------------
% 12.67/4.67 % (1027227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.67/4.67 % (1027227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/4.67 % (1027227)CaDiCaL version: 2.1.3
% 12.67/4.67 % (1027227)Termination reason: Refutation
% 12.67/4.67 % (1027227)Time elapsed: 0.144 s
% 12.67/4.67 % (1027227)Peak memory usage: 144 MB
% 12.67/4.67 % (1027227)Instructions burned: 335 (million)
% 12.67/4.67 % (1027227)------------------------------
% 12.67/4.67 % (1027227)------------------------------
% 12.67/4.67 % (1027190)Success in time 3.576 s
% 12.67/4.67 % Vampire exiting
%------------------------------------------------------------------------------