TSTP Solution File: LAT338+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:35:23 EDT 2023
% Result : Theorem 0.24s 0.52s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 28
% Syntax : Number of formulae : 191 ( 30 unt; 0 def)
% Number of atoms : 642 ( 49 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 715 ( 264 ~; 302 |; 113 &)
% ( 12 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 9 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 174 (; 166 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2465,plain,
$false,
inference(avatar_sat_refutation,[],[f735,f1494,f1500,f2417,f2423,f2443,f2448,f2456,f2464]) ).
fof(f2464,plain,
( ~ spl34_1
| spl34_18 ),
inference(avatar_contradiction_clause,[],[f2463]) ).
fof(f2463,plain,
( $false
| ~ spl34_1
| spl34_18 ),
inference(subsumption_resolution,[],[f2462,f320]) ).
fof(f320,plain,
~ v3_conlat_1(sK0),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK0))))
& l2_conlat_1(sK0)
& ~ v3_conlat_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f126,f248,f247]) ).
fof(f247,plain,
( ? [X0] :
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0),X1),sK0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0),X1),sK0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0),X1),sK0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),X1),sK0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),X1),sK0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0),X1),sK0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK0)))) )
& l2_conlat_1(sK0)
& ~ v3_conlat_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0),X1),sK0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0),X1),sK0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0),X1),sK0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),X1),sK0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),X1),sK0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0),X1),sK0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK0)))) )
=> ( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK0)))) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0] :
( ? [X1] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X0),X1),X0)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',t4_conlat_2) ).
fof(f2462,plain,
( v3_conlat_1(sK0)
| ~ spl34_1
| spl34_18 ),
inference(subsumption_resolution,[],[f2461,f321]) ).
fof(f321,plain,
l2_conlat_1(sK0),
inference(cnf_transformation,[],[f249]) ).
fof(f2461,plain,
( ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| ~ spl34_1
| spl34_18 ),
inference(subsumption_resolution,[],[f2458,f2105]) ).
fof(f2105,plain,
( ! [X2] : r2_hidden(k16_lattice3(k11_conlat_1(sK0),X2),k8_conlat_1(sK0))
| spl34_18 ),
inference(backward_demodulation,[],[f1529,f2052]) ).
fof(f2052,plain,
u1_struct_0(k11_conlat_1(sK0)) = k8_conlat_1(sK0),
inference(trivial_inequality_removal,[],[f2047]) ).
fof(f2047,plain,
( k11_conlat_1(sK0) != k11_conlat_1(sK0)
| u1_struct_0(k11_conlat_1(sK0)) = k8_conlat_1(sK0) ),
inference(superposition,[],[f1121,f826]) ).
fof(f826,plain,
k11_conlat_1(sK0) = g3_lattices(u1_struct_0(k11_conlat_1(sK0)),u2_lattices(k11_conlat_1(sK0)),u1_lattices(k11_conlat_1(sK0))),
inference(subsumption_resolution,[],[f825,f623]) ).
fof(f623,plain,
l3_lattices(k11_conlat_1(sK0)),
inference(subsumption_resolution,[],[f585,f321]) ).
fof(f585,plain,
( l3_lattices(k11_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f422]) ).
fof(f422,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',dt_k11_conlat_1) ).
fof(f825,plain,
( k11_conlat_1(sK0) = g3_lattices(u1_struct_0(k11_conlat_1(sK0)),u2_lattices(k11_conlat_1(sK0)),u1_lattices(k11_conlat_1(sK0)))
| ~ l3_lattices(k11_conlat_1(sK0)) ),
inference(resolution,[],[f612,f342]) ).
fof(f342,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',abstractness_v3_lattices) ).
fof(f612,plain,
v3_lattices(k11_conlat_1(sK0)),
inference(subsumption_resolution,[],[f554,f321]) ).
fof(f554,plain,
( v3_lattices(k11_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f391]) ).
fof(f391,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',fc4_conlat_1) ).
fof(f1121,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK0)
| k8_conlat_1(sK0) = X0 ),
inference(subsumption_resolution,[],[f1120,f628]) ).
fof(f628,plain,
v1_funct_1(k10_conlat_1(sK0)),
inference(subsumption_resolution,[],[f589,f321]) ).
fof(f589,plain,
( v1_funct_1(k10_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f426]) ).
fof(f426,plain,
! [X0] :
( v1_funct_1(k10_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k10_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',dt_k10_conlat_1) ).
fof(f1120,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK0)
| k8_conlat_1(sK0) = X0
| ~ v1_funct_1(k10_conlat_1(sK0)) ),
inference(subsumption_resolution,[],[f1119,f629]) ).
fof(f629,plain,
v1_funct_2(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0)),
inference(subsumption_resolution,[],[f590,f321]) ).
fof(f590,plain,
( v1_funct_2(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f427]) ).
fof(f427,plain,
! [X0] :
( v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f1119,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK0)
| k8_conlat_1(sK0) = X0
| ~ v1_funct_2(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_1(k10_conlat_1(sK0)) ),
inference(subsumption_resolution,[],[f1118,f631]) ).
fof(f631,plain,
m1_relset_1(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0)),
inference(forward_literal_rewriting,[],[f630,f495]) ).
fof(f495,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',redefinition_m2_relset_1) ).
fof(f630,plain,
m2_relset_1(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0)),
inference(subsumption_resolution,[],[f591,f321]) ).
fof(f591,plain,
( m2_relset_1(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f428]) ).
fof(f428,plain,
! [X0] :
( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f1118,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK0)
| k8_conlat_1(sK0) = X0
| ~ m1_relset_1(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_2(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_1(k10_conlat_1(sK0)) ),
inference(subsumption_resolution,[],[f1117,f624]) ).
fof(f624,plain,
v1_funct_1(k9_conlat_1(sK0)),
inference(subsumption_resolution,[],[f586,f321]) ).
fof(f586,plain,
( v1_funct_1(k9_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f423]) ).
fof(f423,plain,
! [X0] :
( v1_funct_1(k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
& v1_funct_1(k9_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',dt_k9_conlat_1) ).
fof(f1117,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK0)
| k8_conlat_1(sK0) = X0
| ~ v1_funct_1(k9_conlat_1(sK0))
| ~ m1_relset_1(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_2(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_1(k10_conlat_1(sK0)) ),
inference(subsumption_resolution,[],[f1116,f625]) ).
fof(f625,plain,
v1_funct_2(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0)),
inference(subsumption_resolution,[],[f587,f321]) ).
fof(f587,plain,
( v1_funct_2(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f424]) ).
fof(f424,plain,
! [X0] :
( v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f1116,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK0)
| k8_conlat_1(sK0) = X0
| ~ v1_funct_2(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_1(k9_conlat_1(sK0))
| ~ m1_relset_1(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_2(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_1(k10_conlat_1(sK0)) ),
inference(subsumption_resolution,[],[f1110,f627]) ).
fof(f627,plain,
m1_relset_1(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0)),
inference(forward_literal_rewriting,[],[f626,f495]) ).
fof(f626,plain,
m2_relset_1(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0)),
inference(subsumption_resolution,[],[f588,f321]) ).
fof(f588,plain,
( m2_relset_1(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f425]) ).
fof(f425,plain,
! [X0] :
( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f1110,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK0)
| k8_conlat_1(sK0) = X0
| ~ m1_relset_1(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_2(k9_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_1(k9_conlat_1(sK0))
| ~ m1_relset_1(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_2(k10_conlat_1(sK0),k2_zfmisc_1(k8_conlat_1(sK0),k8_conlat_1(sK0)),k8_conlat_1(sK0))
| ~ v1_funct_1(k10_conlat_1(sK0)) ),
inference(superposition,[],[f491,f610]) ).
fof(f610,plain,
k11_conlat_1(sK0) = g3_lattices(k8_conlat_1(sK0),k10_conlat_1(sK0),k9_conlat_1(sK0)),
inference(subsumption_resolution,[],[f552,f321]) ).
fof(f552,plain,
( k11_conlat_1(sK0) = g3_lattices(k8_conlat_1(sK0),k10_conlat_1(sK0),k9_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f389]) ).
fof(f389,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',d23_conlat_1) ).
fof(f491,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f242]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',free_g3_lattices) ).
fof(f1529,plain,
( ! [X2] : r2_hidden(k16_lattice3(k11_conlat_1(sK0),X2),u1_struct_0(k11_conlat_1(sK0)))
| spl34_18 ),
inference(subsumption_resolution,[],[f1526,f1066]) ).
fof(f1066,plain,
( ~ v1_xboole_0(u1_struct_0(k11_conlat_1(sK0)))
| spl34_18 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1065,plain,
( spl34_18
<=> v1_xboole_0(u1_struct_0(k11_conlat_1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_18])]) ).
fof(f1526,plain,
! [X2] :
( r2_hidden(k16_lattice3(k11_conlat_1(sK0),X2),u1_struct_0(k11_conlat_1(sK0)))
| v1_xboole_0(u1_struct_0(k11_conlat_1(sK0))) ),
inference(resolution,[],[f819,f452]) ).
fof(f452,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',t2_subset) ).
fof(f819,plain,
! [X1] : m1_subset_1(k16_lattice3(k11_conlat_1(sK0),X1),u1_struct_0(k11_conlat_1(sK0))),
inference(subsumption_resolution,[],[f810,f623]) ).
fof(f810,plain,
! [X1] :
( m1_subset_1(k16_lattice3(k11_conlat_1(sK0),X1),u1_struct_0(k11_conlat_1(sK0)))
| ~ l3_lattices(k11_conlat_1(sK0)) ),
inference(resolution,[],[f611,f458]) ).
fof(f458,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',dt_k16_lattice3) ).
fof(f611,plain,
~ v3_struct_0(k11_conlat_1(sK0)),
inference(subsumption_resolution,[],[f553,f321]) ).
fof(f553,plain,
( ~ v3_struct_0(k11_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f390]) ).
fof(f390,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f2458,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK0),sK1),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| ~ spl34_1 ),
inference(resolution,[],[f719,f431]) ).
fof(f431,plain,
! [X0,X1] :
( ~ v7_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k8_conlat_1(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v6_conlat_1(X1,X0) )
& ( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
| ~ r2_hidden(X1,k8_conlat_1(X0)) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k8_conlat_1(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v6_conlat_1(X1,X0) )
& ( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
| ~ r2_hidden(X1,k8_conlat_1(X0)) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',t35_conlat_1) ).
fof(f719,plain,
( v7_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ spl34_1 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl34_1
<=> v7_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f2456,plain,
( ~ spl34_4
| spl34_18 ),
inference(avatar_contradiction_clause,[],[f2455]) ).
fof(f2455,plain,
( $false
| ~ spl34_4
| spl34_18 ),
inference(subsumption_resolution,[],[f2454,f320]) ).
fof(f2454,plain,
( v3_conlat_1(sK0)
| ~ spl34_4
| spl34_18 ),
inference(subsumption_resolution,[],[f2453,f321]) ).
fof(f2453,plain,
( ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| ~ spl34_4
| spl34_18 ),
inference(subsumption_resolution,[],[f2450,f2106]) ).
fof(f2106,plain,
( ! [X2] : r2_hidden(k15_lattice3(k11_conlat_1(sK0),X2),k8_conlat_1(sK0))
| spl34_18 ),
inference(backward_demodulation,[],[f1535,f2052]) ).
fof(f1535,plain,
( ! [X2] : r2_hidden(k15_lattice3(k11_conlat_1(sK0),X2),u1_struct_0(k11_conlat_1(sK0)))
| spl34_18 ),
inference(subsumption_resolution,[],[f1531,f1066]) ).
fof(f1531,plain,
! [X2] :
( r2_hidden(k15_lattice3(k11_conlat_1(sK0),X2),u1_struct_0(k11_conlat_1(sK0)))
| v1_xboole_0(u1_struct_0(k11_conlat_1(sK0))) ),
inference(resolution,[],[f820,f452]) ).
fof(f820,plain,
! [X2] : m1_subset_1(k15_lattice3(k11_conlat_1(sK0),X2),u1_struct_0(k11_conlat_1(sK0))),
inference(subsumption_resolution,[],[f811,f623]) ).
fof(f811,plain,
! [X2] :
( m1_subset_1(k15_lattice3(k11_conlat_1(sK0),X2),u1_struct_0(k11_conlat_1(sK0)))
| ~ l3_lattices(k11_conlat_1(sK0)) ),
inference(resolution,[],[f611,f459]) ).
fof(f459,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',dt_k15_lattice3) ).
fof(f2450,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK0),sK1),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| ~ spl34_4 ),
inference(resolution,[],[f728,f431]) ).
fof(f728,plain,
( v7_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ spl34_4 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f727,plain,
( spl34_4
<=> v7_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f2448,plain,
( spl34_6
| spl34_18 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2447,plain,
( $false
| spl34_6
| spl34_18 ),
inference(subsumption_resolution,[],[f2446,f320]) ).
fof(f2446,plain,
( v3_conlat_1(sK0)
| spl34_6
| spl34_18 ),
inference(subsumption_resolution,[],[f2445,f321]) ).
fof(f2445,plain,
( ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| spl34_6
| spl34_18 ),
inference(subsumption_resolution,[],[f2444,f2106]) ).
fof(f2444,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK0),sK1),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| spl34_6 ),
inference(resolution,[],[f734,f433]) ).
fof(f433,plain,
! [X0,X1] :
( l3_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f734,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| spl34_6 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl34_6
<=> l3_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f2443,plain,
( spl34_5
| spl34_18 ),
inference(avatar_contradiction_clause,[],[f2442]) ).
fof(f2442,plain,
( $false
| spl34_5
| spl34_18 ),
inference(subsumption_resolution,[],[f2441,f320]) ).
fof(f2441,plain,
( v3_conlat_1(sK0)
| spl34_5
| spl34_18 ),
inference(subsumption_resolution,[],[f2440,f321]) ).
fof(f2440,plain,
( ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| spl34_5
| spl34_18 ),
inference(subsumption_resolution,[],[f2439,f2106]) ).
fof(f2439,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK0),sK1),k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0)
| v3_conlat_1(sK0)
| spl34_5 ),
inference(resolution,[],[f731,f432]) ).
fof(f432,plain,
! [X0,X1] :
( v9_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f731,plain,
( ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| spl34_5 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl34_5
<=> v9_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f2423,plain,
spl34_3,
inference(avatar_contradiction_clause,[],[f2422]) ).
fof(f2422,plain,
( $false
| spl34_3 ),
inference(subsumption_resolution,[],[f725,f2398]) ).
fof(f2398,plain,
! [X1] : l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),X1),sK0),
inference(resolution,[],[f2073,f1060]) ).
fof(f1060,plain,
! [X1] :
( ~ m1_subset_1(X1,k8_conlat_1(sK0))
| l3_conlat_1(X1,sK0) ),
inference(subsumption_resolution,[],[f1057,f609]) ).
fof(f609,plain,
~ v1_xboole_0(k8_conlat_1(sK0)),
inference(backward_demodulation,[],[f606,f608]) ).
fof(f608,plain,
k7_conlat_1(sK0) = k8_conlat_1(sK0),
inference(subsumption_resolution,[],[f551,f321]) ).
fof(f551,plain,
( k7_conlat_1(sK0) = k8_conlat_1(sK0)
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f388]) ).
fof(f388,plain,
! [X0] :
( k8_conlat_1(X0) = k7_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( k8_conlat_1(X0) = k7_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0] :
( k8_conlat_1(X0) = k7_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k8_conlat_1(X0) = k7_conlat_1(X0) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',redefinition_k8_conlat_1) ).
fof(f606,plain,
~ v1_xboole_0(k7_conlat_1(sK0)),
inference(subsumption_resolution,[],[f548,f321]) ).
fof(f548,plain,
( ~ v1_xboole_0(k7_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f385]) ).
fof(f385,plain,
! [X0] :
( ~ v1_xboole_0(k7_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ~ v1_xboole_0(k7_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ~ v1_xboole_0(k7_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ~ v1_xboole_0(k7_conlat_1(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',fc3_conlat_1) ).
fof(f1057,plain,
! [X1] :
( l3_conlat_1(X1,sK0)
| v1_xboole_0(k8_conlat_1(sK0))
| ~ m1_subset_1(X1,k8_conlat_1(sK0)) ),
inference(resolution,[],[f636,f452]) ).
fof(f636,plain,
! [X4] :
( ~ r2_hidden(X4,k8_conlat_1(sK0))
| l3_conlat_1(X4,sK0) ),
inference(subsumption_resolution,[],[f596,f321]) ).
fof(f596,plain,
! [X4] :
( l3_conlat_1(X4,sK0)
| ~ r2_hidden(X4,k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f433]) ).
fof(f2073,plain,
! [X1] : m1_subset_1(k16_lattice3(k11_conlat_1(sK0),X1),k8_conlat_1(sK0)),
inference(backward_demodulation,[],[f819,f2052]) ).
fof(f725,plain,
( ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| spl34_3 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl34_3
<=> l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).
fof(f2417,plain,
spl34_2,
inference(avatar_contradiction_clause,[],[f2416]) ).
fof(f2416,plain,
( $false
| spl34_2 ),
inference(subsumption_resolution,[],[f722,f2399]) ).
fof(f2399,plain,
! [X2] : v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),X2),sK0),
inference(resolution,[],[f2073,f1055]) ).
fof(f1055,plain,
! [X1] :
( ~ m1_subset_1(X1,k8_conlat_1(sK0))
| v9_conlat_1(X1,sK0) ),
inference(subsumption_resolution,[],[f1052,f609]) ).
fof(f1052,plain,
! [X1] :
( v9_conlat_1(X1,sK0)
| v1_xboole_0(k8_conlat_1(sK0))
| ~ m1_subset_1(X1,k8_conlat_1(sK0)) ),
inference(resolution,[],[f635,f452]) ).
fof(f635,plain,
! [X3] :
( ~ r2_hidden(X3,k8_conlat_1(sK0))
| v9_conlat_1(X3,sK0) ),
inference(subsumption_resolution,[],[f595,f321]) ).
fof(f595,plain,
! [X3] :
( v9_conlat_1(X3,sK0)
| ~ r2_hidden(X3,k8_conlat_1(sK0))
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f320,f432]) ).
fof(f722,plain,
( ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| spl34_2 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl34_2
<=> v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_2])]) ).
fof(f1500,plain,
spl34_21,
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1499,plain,
( $false
| spl34_21 ),
inference(subsumption_resolution,[],[f1493,f1287]) ).
fof(f1287,plain,
l1_struct_0(k11_conlat_1(sK0)),
inference(resolution,[],[f855,f328]) ).
fof(f328,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',dt_l1_lattices) ).
fof(f855,plain,
l1_lattices(k11_conlat_1(sK0)),
inference(resolution,[],[f623,f340]) ).
fof(f340,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',dt_l3_lattices) ).
fof(f1493,plain,
( ~ l1_struct_0(k11_conlat_1(sK0))
| spl34_21 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1492,plain,
( spl34_21
<=> l1_struct_0(k11_conlat_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_21])]) ).
fof(f1494,plain,
( ~ spl34_21
| ~ spl34_18 ),
inference(avatar_split_clause,[],[f794,f1065,f1492]) ).
fof(f794,plain,
( ~ v1_xboole_0(u1_struct_0(k11_conlat_1(sK0)))
| ~ l1_struct_0(k11_conlat_1(sK0)) ),
inference(resolution,[],[f611,f358]) ).
fof(f358,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080',fc1_struct_0) ).
fof(f735,plain,
( spl34_1
| ~ spl34_2
| ~ spl34_3
| spl34_4
| ~ spl34_5
| ~ spl34_6 ),
inference(avatar_split_clause,[],[f323,f733,f730,f727,f724,f721,f718]) ).
fof(f323,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0),sK1),sK0) ),
inference(cnf_transformation,[],[f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 24 06:24:41 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.gzYCxjOeUd/Vampire---4.8_24080
% 0.15/0.38 % (24193)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.43 % (24203)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.44 % (24203)Refutation not found, incomplete strategy% (24203)------------------------------
% 0.24/0.44 % (24203)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.44 % (24203)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.44 % (24203)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.44
% 0.24/0.44 % (24203)Memory used [KB]: 5884
% 0.24/0.44 % (24203)Time elapsed: 0.006 s
% 0.24/0.44 % (24203)------------------------------
% 0.24/0.44 % (24203)------------------------------
% 0.24/0.44 % (24198)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.44 % (24195)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.44 % (24194)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.24/0.44 % (24199)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.24/0.44 % (24200)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.24/0.44 % (24196)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.24/0.47 % (24206)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.24/0.52 % (24199)First to succeed.
% 0.24/0.52 % (24199)Refutation found. Thanks to Tanya!
% 0.24/0.52 % SZS status Theorem for Vampire---4
% 0.24/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.52 % (24199)------------------------------
% 0.24/0.52 % (24199)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.52 % (24199)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.52 % (24199)Termination reason: Refutation
% 0.24/0.52
% 0.24/0.52 % (24199)Memory used [KB]: 7036
% 0.24/0.52 % (24199)Time elapsed: 0.080 s
% 0.24/0.52 % (24199)------------------------------
% 0.24/0.52 % (24199)------------------------------
% 0.24/0.52 % (24193)Success in time 0.141 s
% 0.24/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------