%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT338+2 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:05 AM UTC 2026
% Result : Theorem 4.06s 1.80s
% Output : Refutation 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 127 ( 14 unt; 8 def)
% Number of atoms : 437 ( 6 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 502 ( 192 ~; 196 |; 88 &)
% ( 8 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 69 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4457,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(f4458,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(f5266,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_conlat_1) ).
fof(f5331,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_conlat_1) ).
fof(f5332,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
=> k12_conlat_1(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d24_conlat_1) ).
fof(f5364,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
=> ( v6_conlat_1(k12_conlat_1(X0,X1),X0)
& ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
& v9_conlat_1(k12_conlat_1(X0,X1),X0)
& l3_conlat_1(k12_conlat_1(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_conlat_1) ).
fof(f5470,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_conlat_2) ).
fof(f5471,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f5470]) ).
fof(f5481,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f5266]) ).
fof(f5486,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f5481]) ).
fof(f5488,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f5486]) ).
fof(f5492,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f5488]) ).
fof(f5494,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f5492]) ).
fof(f5497,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f5494]) ).
fof(f5502,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f5497]) ).
fof(f5506,plain,
? [X0] :
( ? [X1] :
( ( v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5471]) ).
fof(f5507,plain,
? [X0] :
( ? [X1] :
( ( v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f5506]) ).
fof(f5546,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f4457]) ).
fof(f5547,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5546]) ).
fof(f5578,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f4458]) ).
fof(f5579,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5578]) ).
fof(f5600,plain,
! [X0,X1] :
( ( v6_conlat_1(k12_conlat_1(X0,X1),X0)
& ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
& v9_conlat_1(k12_conlat_1(X0,X1),X0)
& l3_conlat_1(k12_conlat_1(X0,X1),X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(ennf_transformation,[],[f5364]) ).
fof(f5601,plain,
! [X0,X1] :
( ( v6_conlat_1(k12_conlat_1(X0,X1),X0)
& ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
& v9_conlat_1(k12_conlat_1(X0,X1),X0)
& l3_conlat_1(k12_conlat_1(X0,X1),X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(flattening,[],[f5600]) ).
fof(f5614,plain,
! [X0] :
( ! [X1] :
( k12_conlat_1(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5332]) ).
fof(f5615,plain,
! [X0] :
( ! [X1] :
( k12_conlat_1(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5614]) ).
fof(f5616,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5331]) ).
fof(f5617,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5616]) ).
fof(f5622,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5502]) ).
fof(f5623,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5622]) ).
fof(f5626,plain,
( ( v7_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK1))))
& ~ v3_conlat_1(sK1)
& l2_conlat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f5507]) ).
fof(f5679,plain,
l2_conlat_1(sK1),
inference(cnf_transformation,[],[f5626]) ).
fof(f5680,plain,
~ v3_conlat_1(sK1),
inference(cnf_transformation,[],[f5626]) ).
fof(f5682,plain,
( v7_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1) ),
inference(cnf_transformation,[],[f5626]) ).
fof(f5736,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5547]) ).
fof(f5784,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f5579]) ).
fof(f5810,plain,
! [X0,X1] :
( l3_conlat_1(k12_conlat_1(X0,X1),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f5601]) ).
fof(f5811,plain,
! [X0,X1] :
( v9_conlat_1(k12_conlat_1(X0,X1),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f5601]) ).
fof(f5812,plain,
! [X0,X1] :
( ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f5601]) ).
fof(f5828,plain,
! [X0,X1] :
( v3_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
| k12_conlat_1(X0,X1) = X1
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5615]) ).
fof(f5829,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5617]) ).
fof(f5837,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5623]) ).
fof(f5849,definition,
( spl32_1
<=> l3_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f5851,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1)
| spl32_1 ),
inference(avatar_component_clause,[],[f5849]) ).
fof(f5853,definition,
( spl32_2
<=> v9_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl32_2])],[avatar_definition]) ).
fof(f5855,plain,
( ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1)
| spl32_2 ),
inference(avatar_component_clause,[],[f5853]) ).
fof(f5857,definition,
( spl32_3
<=> v7_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl32_3])],[avatar_definition]) ).
fof(f5859,plain,
( v7_conlat_1(k15_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f5857]) ).
fof(f5861,definition,
( spl32_4
<=> l3_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl32_4])],[avatar_definition]) ).
fof(f5863,plain,
( ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| spl32_4 ),
inference(avatar_component_clause,[],[f5861]) ).
fof(f5865,definition,
( spl32_5
<=> v9_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl32_5])],[avatar_definition]) ).
fof(f5867,plain,
( ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| spl32_5 ),
inference(avatar_component_clause,[],[f5865]) ).
fof(f5869,definition,
( spl32_6
<=> v7_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl32_6])],[avatar_definition]) ).
fof(f5871,plain,
( v7_conlat_1(k16_lattice3(k11_conlat_1(sK1),sK2),sK1)
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f5869]) ).
fof(f5872,plain,
( ~ spl32_1
| ~ spl32_2
| spl32_3
| ~ spl32_4
| ~ spl32_5
| spl32_6 ),
inference(avatar_split_clause,[],[f5682,f5869,f5865,f5861,f5857,f5853,f5849]) ).
fof(f5882,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1)))
| k12_conlat_1(sK1,X0) = X0
| ~ l2_conlat_1(sK1) ),
inference(resolution,[],[f5828,f5680]) ).
fof(f5883,plain,
! [X0] :
( k12_conlat_1(sK1,X0) = X0
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(forward_subsumption_resolution,[],[f5882,f5679]) ).
fof(f5885,plain,
! [X0] :
( ~ v7_conlat_1(X0,sK1)
| v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(superposition,[],[f5812,f5883]) ).
fof(f5886,plain,
! [X0] :
( v9_conlat_1(X0,sK1)
| v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(superposition,[],[f5811,f5883]) ).
fof(f5887,plain,
! [X0] :
( l3_conlat_1(X0,sK1)
| v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(superposition,[],[f5810,f5883]) ).
fof(f5888,plain,
! [X0] :
( l3_conlat_1(X0,sK1)
| v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(duplicate_literal_removal,[],[f5887]) ).
fof(f5889,plain,
! [X0] :
( v9_conlat_1(X0,sK1)
| v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(duplicate_literal_removal,[],[f5886]) ).
fof(f5890,plain,
! [X0] :
( ~ v7_conlat_1(X0,sK1)
| v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(duplicate_literal_removal,[],[f5885]) ).
fof(f5892,plain,
! [X0] :
( l3_conlat_1(X0,sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(forward_subsumption_resolution,[],[f5888,f5680]) ).
fof(f5893,plain,
! [X0] :
( v9_conlat_1(X0,sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(forward_subsumption_resolution,[],[f5889,f5680]) ).
fof(f5894,plain,
! [X0] :
( ~ v7_conlat_1(X0,sK1)
| ~ l2_conlat_1(sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(forward_subsumption_resolution,[],[f5890,f5680]) ).
fof(f5896,plain,
! [X0] :
( l3_conlat_1(X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(forward_subsumption_resolution,[],[f5892,f5679]) ).
fof(f5897,plain,
! [X0] :
( v9_conlat_1(X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(forward_subsumption_resolution,[],[f5893,f5679]) ).
fof(f5898,plain,
! [X0] :
( ~ v7_conlat_1(X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK1))) ),
inference(forward_subsumption_resolution,[],[f5894,f5679]) ).
fof(f5900,plain,
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK1),sK2),u1_struct_0(k11_conlat_1(sK1)))
| spl32_1 ),
inference(resolution,[],[f5896,f5851]) ).
fof(f5903,plain,
( v3_struct_0(k11_conlat_1(sK1))
| ~ l3_lattices(k11_conlat_1(sK1))
| spl32_1 ),
inference(resolution,[],[f5900,f5736]) ).
fof(f5906,definition,
( spl32_7
<=> l3_lattices(k11_conlat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl32_7])],[avatar_definition]) ).
fof(f5907,plain,
( l3_lattices(k11_conlat_1(sK1))
| ~ spl32_7 ),
inference(avatar_component_clause,[],[f5906]) ).
fof(f5908,plain,
( ~ l3_lattices(k11_conlat_1(sK1))
| spl32_7 ),
inference(avatar_component_clause,[],[f5906]) ).
fof(f5910,definition,
( spl32_8
<=> v3_struct_0(k11_conlat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl32_8])],[avatar_definition]) ).
fof(f5911,plain,
( ~ v3_struct_0(k11_conlat_1(sK1))
| spl32_8 ),
inference(avatar_component_clause,[],[f5910]) ).
fof(f5912,plain,
( v3_struct_0(k11_conlat_1(sK1))
| ~ spl32_8 ),
inference(avatar_component_clause,[],[f5910]) ).
fof(f5913,plain,
( ~ spl32_7
| spl32_8
| spl32_1 ),
inference(avatar_split_clause,[],[f5903,f5849,f5910,f5906]) ).
fof(f5914,plain,
( v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| spl32_7 ),
inference(resolution,[],[f5908,f5829]) ).
fof(f5915,plain,
( ~ l2_conlat_1(sK1)
| spl32_7 ),
inference(forward_subsumption_resolution,[],[f5914,f5680]) ).
fof(f5916,plain,
( $false
| spl32_7 ),
inference(forward_subsumption_resolution,[],[f5915,f5679]) ).
fof(f5917,plain,
spl32_7,
inference(avatar_contradiction_clause,[],[f5916]) ).
fof(f5918,plain,
( v3_conlat_1(sK1)
| ~ l2_conlat_1(sK1)
| ~ spl32_8 ),
inference(resolution,[],[f5912,f5837]) ).
fof(f5919,plain,
( ~ l2_conlat_1(sK1)
| ~ spl32_8 ),
inference(forward_subsumption_resolution,[],[f5918,f5680]) ).
fof(f5920,plain,
( $false
| ~ spl32_8 ),
inference(forward_subsumption_resolution,[],[f5919,f5679]) ).
fof(f5921,plain,
~ spl32_8,
inference(avatar_contradiction_clause,[],[f5920]) ).
fof(f5922,plain,
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK1),sK2),u1_struct_0(k11_conlat_1(sK1)))
| spl32_2 ),
inference(resolution,[],[f5855,f5897]) ).
fof(f5923,plain,
( v3_struct_0(k11_conlat_1(sK1))
| ~ l3_lattices(k11_conlat_1(sK1))
| spl32_2 ),
inference(resolution,[],[f5922,f5736]) ).
fof(f5925,plain,
( ~ l3_lattices(k11_conlat_1(sK1))
| spl32_2
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5923,f5911]) ).
fof(f5926,plain,
( $false
| spl32_2
| ~ spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5925,f5907]) ).
fof(f5927,plain,
( spl32_2
| ~ spl32_7
| spl32_8 ),
inference(avatar_contradiction_clause,[],[f5926]) ).
fof(f5928,plain,
( ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK1),sK2),u1_struct_0(k11_conlat_1(sK1)))
| spl32_4 ),
inference(resolution,[],[f5863,f5896]) ).
fof(f5929,plain,
( v3_struct_0(k11_conlat_1(sK1))
| ~ l3_lattices(k11_conlat_1(sK1))
| spl32_4 ),
inference(resolution,[],[f5928,f5784]) ).
fof(f5931,plain,
( ~ l3_lattices(k11_conlat_1(sK1))
| spl32_4
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5929,f5911]) ).
fof(f5932,plain,
( $false
| spl32_4
| ~ spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5931,f5907]) ).
fof(f5933,plain,
( spl32_4
| ~ spl32_7
| spl32_8 ),
inference(avatar_contradiction_clause,[],[f5932]) ).
fof(f5934,plain,
( ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK1),sK2),u1_struct_0(k11_conlat_1(sK1)))
| spl32_5 ),
inference(resolution,[],[f5867,f5897]) ).
fof(f5935,plain,
( v3_struct_0(k11_conlat_1(sK1))
| ~ l3_lattices(k11_conlat_1(sK1))
| spl32_5 ),
inference(resolution,[],[f5934,f5784]) ).
fof(f5937,plain,
( ~ l3_lattices(k11_conlat_1(sK1))
| spl32_5
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5935,f5911]) ).
fof(f5938,plain,
( $false
| spl32_5
| ~ spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5937,f5907]) ).
fof(f5939,plain,
( spl32_5
| ~ spl32_7
| spl32_8 ),
inference(avatar_contradiction_clause,[],[f5938]) ).
fof(f5940,plain,
( ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK1),sK2),u1_struct_0(k11_conlat_1(sK1)))
| ~ spl32_6 ),
inference(resolution,[],[f5871,f5898]) ).
fof(f5941,plain,
( v3_struct_0(k11_conlat_1(sK1))
| ~ l3_lattices(k11_conlat_1(sK1))
| ~ spl32_6 ),
inference(resolution,[],[f5940,f5784]) ).
fof(f5943,plain,
( ~ l3_lattices(k11_conlat_1(sK1))
| ~ spl32_6
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5941,f5911]) ).
fof(f5944,plain,
( $false
| ~ spl32_6
| ~ spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5943,f5907]) ).
fof(f5945,plain,
( ~ spl32_6
| ~ spl32_7
| spl32_8 ),
inference(avatar_contradiction_clause,[],[f5944]) ).
fof(f5946,plain,
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK1),sK2),u1_struct_0(k11_conlat_1(sK1)))
| ~ spl32_3 ),
inference(resolution,[],[f5859,f5898]) ).
fof(f5947,plain,
( v3_struct_0(k11_conlat_1(sK1))
| ~ l3_lattices(k11_conlat_1(sK1))
| ~ spl32_3 ),
inference(resolution,[],[f5946,f5736]) ).
fof(f5949,plain,
( ~ l3_lattices(k11_conlat_1(sK1))
| ~ spl32_3
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5947,f5911]) ).
fof(f5950,plain,
( $false
| ~ spl32_3
| ~ spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f5949,f5907]) ).
fof(f5951,plain,
( ~ spl32_3
| ~ spl32_7
| spl32_8 ),
inference(avatar_contradiction_clause,[],[f5950]) ).
cnf(s1,plain,
( ~ spl32_1
| ~ spl32_2
| spl32_3
| ~ spl32_4
| ~ spl32_5
| spl32_6 ),
inference(sat_conversion,[],[f5872]) ).
cnf(s2,plain,
( spl32_1
| ~ spl32_7
| spl32_8 ),
inference(sat_conversion,[],[f5913]) ).
cnf(s3,plain,
spl32_7,
inference(sat_conversion,[],[f5917]) ).
cnf(s4,plain,
~ spl32_8,
inference(sat_conversion,[],[f5921]) ).
cnf(s5,plain,
( spl32_2
| ~ spl32_7
| spl32_8 ),
inference(sat_conversion,[],[f5927]) ).
cnf(s6,plain,
( spl32_4
| ~ spl32_7
| spl32_8 ),
inference(sat_conversion,[],[f5933]) ).
cnf(s7,plain,
( spl32_5
| ~ spl32_7
| spl32_8 ),
inference(sat_conversion,[],[f5939]) ).
cnf(s8,plain,
( ~ spl32_6
| ~ spl32_7
| spl32_8 ),
inference(sat_conversion,[],[f5945]) ).
cnf(s9,plain,
( ~ spl32_3
| ~ spl32_7
| spl32_8 ),
inference(sat_conversion,[],[f5951]) ).
cnf(s10,plain,
~ spl32_3,
inference(rat,[],[s9,s4,s3]) ).
cnf(s11,plain,
~ spl32_6,
inference(rat,[],[s8,s4,s3]) ).
cnf(s12,plain,
spl32_5,
inference(rat,[],[s7,s4,s3]) ).
cnf(s13,plain,
spl32_4,
inference(rat,[],[s6,s4,s3]) ).
cnf(s14,plain,
spl32_2,
inference(rat,[],[s5,s4,s3]) ).
cnf(s15,plain,
spl32_1,
inference(rat,[],[s2,s4,s3]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s11,s12,s13,s10,s14,s15]) ).
fof(f5952,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT338+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n020.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 14:48:05 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 4.06/1.80 % (3456551)Detected formulas, will run a generic FOF schedule.
% 4.06/1.80 % (3456640)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=3473865432:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 4.06/1.80 % (3456644)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2899261890:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 4.06/1.80 % (3456649)dis-21_1_sil=8000:lcm=predicate:random_seed=1337653765:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 4.06/1.80 % (3456641)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=86353872:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 4.06/1.80 % (3456646)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1024894095:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 4.06/1.80 % (3456647)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=16484578:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 4.06/1.80 % (3456643)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=370359976:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 4.06/1.80 % (3456644)Refutation not found, incomplete strategy
% 4.06/1.80 % (3456644)------------------------------
% 4.06/1.80 % (3456644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.80 % (3456644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.80 % (3456644)CaDiCaL version: 2.1.3
% 4.06/1.80 % (3456644)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.80 % (3456644)Time elapsed: 0.025 s
% 4.06/1.80 % (3456644)Peak memory usage: 95 MB
% 4.06/1.80 % (3456644)Instructions burned: 31 (million)
% 4.06/1.80 % (3456646)Instruction limit reached!
% 4.06/1.80 % (3456646)------------------------------
% 4.06/1.80 % (3456646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.80 % (3456646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.80 % (3456646)CaDiCaL version: 2.1.3
% 4.06/1.80 % (3456646)Termination reason: Instruction limit
% 4.06/1.80 % (3456646)Termination phase: Saturation
% 4.06/1.80 % (3456646)Time elapsed: 0.081 s
% 4.06/1.80 % (3456646)Peak memory usage: 96 MB
% 4.06/1.80 % (3456646)Instructions burned: 120 (million)
% 4.06/1.80 % (3456649)Instruction limit reached!
% 4.06/1.80 % (3456649)------------------------------
% 4.06/1.80 % (3456649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.80 % (3456649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.80 % (3456649)CaDiCaL version: 2.1.3
% 4.06/1.80 % (3456649)Termination reason: Instruction limit
% 4.06/1.80 % (3456649)Termination phase: Preprocessing 3
% 4.06/1.80 % (3456649)Time elapsed: 0.094 s
% 4.06/1.80 % (3456649)Peak memory usage: 96 MB
% 4.06/1.80 % (3456649)Instructions burned: 130 (million)
% 4.06/1.80 % (3456647)Instruction limit reached!
% 4.06/1.80 % (3456647)------------------------------
% 4.06/1.80 % (3456647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.80 % (3456647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.80 % (3456647)CaDiCaL version: 2.1.3
% 4.06/1.80 % (3456647)Termination reason: Instruction limit
% 4.06/1.80 % (3456647)Termination phase: Preprocessing 2
% 4.06/1.80 % (3456647)Time elapsed: 0.084 s
% 4.06/1.80 % (3456647)Peak memory usage: 93 MB
% 4.06/1.80 % (3456647)Instructions burned: 139 (million)
% 4.06/1.80 % (3456684)lrs+10_1_sil=8000:sp=occurrence:random_seed=2274490990:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 4.06/1.80 % (3456685)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3739610045:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.06/1.80 % (3456686)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2726017196:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.06/1.80 % (3456644)------------------------------
% 4.06/1.80 % (3456644)------------------------------
% 4.06/1.80 % (3456686)First to succeed.
% 4.06/1.80 % (3456686)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3456551"
% 4.06/1.80 % (3456685)Instruction limit reached!
% 4.06/1.80 % (3456685)------------------------------
% 4.06/1.80 % (3456685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.80 % (3456685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.80 % (3456685)CaDiCaL version: 2.1.3
% 4.06/1.80 % (3456685)Termination reason: Instruction limit
% 4.06/1.80 % (3456685)Termination phase: Saturation
% 4.06/1.80 % (3456685)Time elapsed: 0.087 s
% 4.06/1.80 % (3456685)Peak memory usage: 95 MB
% 4.06/1.80 % (3456685)Instructions burned: 158 (million)
% 4.06/1.80 % (3456684)Instruction limit reached!
% 4.06/1.80 % (3456684)------------------------------
% 4.06/1.80 % (3456684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.80 % (3456684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.80 % (3456684)CaDiCaL version: 2.1.3
% 4.06/1.80 % (3456684)Termination reason: Instruction limit
% 4.06/1.80 % (3456684)Termination phase: Saturation
% 4.06/1.80 % (3456684)Time elapsed: 0.186 s
% 4.06/1.80 % (3456684)Peak memory usage: 98 MB
% 4.06/1.80 % (3456684)Instructions burned: 286 (million)
% 4.06/1.80 % (3456698)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=2321375109:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 4.06/1.80 % (3456704)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3591308772:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 4.06/1.80 % (3456686)Refutation found. Thanks to Tanya!
% 4.06/1.80 % SZS status Theorem for theBenchmark
% 4.06/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 5.87/1.99 % (3456686)------------------------------
% 5.87/1.99 % (3456686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.99 % (3456686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.99 % (3456686)CaDiCaL version: 2.1.3
% 5.87/1.99 % (3456686)Termination reason: Refutation
% 5.87/1.99 % (3456686)Time elapsed: 0.038 s
% 5.87/1.99 % (3456686)Peak memory usage: 96 MB
% 5.87/1.99 % (3456686)Instructions burned: 46 (million)
% 5.87/1.99 % (3456686)------------------------------
% 5.87/1.99 % (3456686)------------------------------
% 5.87/1.99 % (3456551)Success in time 0.958 s
% 5.87/1.99 % Vampire exiting
%------------------------------------------------------------------------------