%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT338+1 : 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 : n017.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 3.19s 1.36s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 31
% Syntax : Number of formulae : 254 ( 25 unt; 14 def)
% Number of atoms : 950 ( 80 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1208 ( 512 ~; 578 |; 78 &)
% ( 19 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 15 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 258 ( 1 sgn 254 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_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/benchmark/theBenchmark.p',d23_conlat_1) ).
fof(f19,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k10_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))
& m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f21,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(f22,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(f27,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> m1_conlat_1(k8_conlat_1(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_conlat_1) ).
fof(f28,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k9_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))
& m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
fof(f36,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_conlat_1(X1,X0)
=> ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_conlat_1) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f96,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f97,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f99,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f101,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_conlat_1) ).
fof(f102,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f103,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f108,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f97]) ).
fof(f109,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f102]) ).
fof(f125,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,[],[f2]) ).
fof(f126,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,[],[f125]) ).
fof(f127,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f128,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f127]) ).
fof(f148,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f149,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f148]) ).
fof(f154,plain,
! [X0] :
( ( v1_funct_1(k10_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))
& m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f155,plain,
! [X0] :
( ( v1_funct_1(k10_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))
& m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f157,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f159,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f161,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f160]) ).
fof(f164,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f165,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ( v1_funct_1(k9_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))
& m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f167,plain,
! [X0] :
( ( v1_funct_1(k9_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))
& m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f166]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f172]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f214]) ).
fof(f235,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f236,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f235]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) ) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k8_conlat_1(X0))
<=> ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) ) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f238]) ).
fof(f240,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f241,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f103]) ).
fof(f242,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f241]) ).
fof(f253,plain,
( ( v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3) )
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK3))))
& ~ v3_conlat_1(sK3)
& l2_conlat_1(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f126]) ).
fof(f290,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(f293,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k8_conlat_1(X0))
| ~ v6_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) )
& ( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
| ~ r2_hidden(X1,k8_conlat_1(X0)) ) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k8_conlat_1(X0))
| ~ v6_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) )
& ( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
| ~ r2_hidden(X1,k8_conlat_1(X0)) ) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f293]) ).
fof(f295,plain,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f253]) ).
fof(f296,plain,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f253]) ).
fof(f298,plain,
( v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
inference(cnf_transformation,[],[f253]) ).
fof(f299,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f326,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f331,plain,
! [X0] :
( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f332,plain,
! [X0] :
( v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f333,plain,
! [X0] :
( v1_funct_1(k10_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f334,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f335,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f336,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f337,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f338,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f340,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f341,plain,
! [X0] :
( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f342,plain,
! [X0] :
( v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f343,plain,
! [X0] :
( v1_funct_1(k9_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f349,plain,
! [X0,X1] :
( v3_conlat_1(X0)
| ~ m1_conlat_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f431,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| X2 = X5
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| X0 = X3
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f496,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
fof(f498,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f108]) ).
fof(f500,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f503,plain,
! [X0,X1] :
( v3_conlat_1(X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f504,plain,
! [X0,X1] :
( v9_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f505,plain,
! [X0,X1] :
( ~ v7_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f508,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f509,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f516,definition,
( spl37_1
<=> l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl37_1])],[avatar_definition]) ).
fof(f518,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| spl37_1 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f520,definition,
( spl37_2
<=> v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl37_2])],[avatar_definition]) ).
fof(f522,plain,
( ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| spl37_2 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f524,definition,
( spl37_3
<=> v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl37_3])],[avatar_definition]) ).
fof(f526,plain,
( v7_conlat_1(k15_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ spl37_3 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f528,definition,
( spl37_4
<=> l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl37_4])],[avatar_definition]) ).
fof(f530,plain,
( ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| spl37_4 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f532,definition,
( spl37_5
<=> v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl37_5])],[avatar_definition]) ).
fof(f534,plain,
( ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| spl37_5 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl37_6
<=> v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl37_6])],[avatar_definition]) ).
fof(f538,plain,
( v7_conlat_1(k16_lattice3(k11_conlat_1(sK3),sK4),sK3)
| ~ spl37_6 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f539,plain,
( ~ spl37_1
| ~ spl37_2
| spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_6 ),
inference(avatar_split_clause,[],[f298,f536,f532,f528,f524,f520,f516]) ).
fof(f541,plain,
! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ v1_xboole_0(X0)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f349,f296]) ).
fof(f542,plain,
! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f541,f295]) ).
fof(f543,plain,
( ~ v1_xboole_0(k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f542,f340]) ).
fof(f546,plain,
( ~ v1_xboole_0(k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f543,f296]) ).
fof(f548,plain,
~ v1_xboole_0(k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f546,f295]) ).
fof(f560,plain,
! [X0] :
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| l3_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f503,f296]) ).
fof(f561,plain,
! [X0] :
( ~ r2_hidden(X0,k8_conlat_1(sK3))
| l3_conlat_1(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f560,f295]) ).
fof(f562,plain,
! [X0] :
( l3_conlat_1(X0,sK3)
| v1_xboole_0(k8_conlat_1(sK3))
| ~ m1_subset_1(X0,k8_conlat_1(sK3)) ),
inference(resolution,[],[f561,f500]) ).
fof(f563,plain,
! [X0] :
( l3_conlat_1(X0,sK3)
| ~ m1_subset_1(X0,k8_conlat_1(sK3)) ),
inference(forward_subsumption_resolution,[],[f562,f548]) ).
fof(f564,plain,
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_1 ),
inference(resolution,[],[f563,f518]) ).
fof(f565,plain,
( ! [X0] :
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k8_conlat_1(sK3))) )
| spl37_1 ),
inference(resolution,[],[f564,f509]) ).
fof(f566,plain,
( ! [X0] :
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK3),sK4),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k8_conlat_1(sK3))) )
| spl37_1 ),
inference(resolution,[],[f565,f500]) ).
fof(f567,plain,
( v1_xboole_0(u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| v3_struct_0(k11_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3))
| spl37_1 ),
inference(resolution,[],[f566,f337]) ).
fof(f575,definition,
( spl37_7
<=> l3_lattices(k11_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl37_7])],[avatar_definition]) ).
fof(f576,plain,
( l3_lattices(k11_conlat_1(sK3))
| ~ spl37_7 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( ~ l3_lattices(k11_conlat_1(sK3))
| spl37_7 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f579,definition,
( spl37_8
<=> v3_struct_0(k11_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl37_8])],[avatar_definition]) ).
fof(f580,plain,
( ~ v3_struct_0(k11_conlat_1(sK3))
| spl37_8 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( v3_struct_0(k11_conlat_1(sK3))
| ~ spl37_8 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f583,definition,
( spl37_9
<=> m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3))) ),
introduced(definition,[new_symbols(definition,[spl37_9])],[avatar_definition]) ).
fof(f585,plain,
( ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| spl37_9 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f587,definition,
( spl37_10
<=> v1_xboole_0(u1_struct_0(k11_conlat_1(sK3))) ),
introduced(definition,[new_symbols(definition,[spl37_10])],[avatar_definition]) ).
fof(f589,plain,
( v1_xboole_0(u1_struct_0(k11_conlat_1(sK3)))
| ~ spl37_10 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f590,plain,
( ~ spl37_7
| spl37_8
| ~ spl37_9
| spl37_10
| spl37_1 ),
inference(avatar_split_clause,[],[f567,f516,f587,f583,f579,f575]) ).
fof(f591,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl37_7 ),
inference(resolution,[],[f577,f334]) ).
fof(f592,plain,
( ~ l2_conlat_1(sK3)
| spl37_7 ),
inference(forward_subsumption_resolution,[],[f591,f296]) ).
fof(f593,plain,
( $false
| spl37_7 ),
inference(forward_subsumption_resolution,[],[f592,f295]) ).
fof(f594,plain,
spl37_7,
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f595,plain,
( ~ r1_tarski(u1_struct_0(k11_conlat_1(sK3)),k8_conlat_1(sK3))
| spl37_9 ),
inference(resolution,[],[f585,f508]) ).
fof(f805,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| X2 = X5
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(resolution,[],[f431,f496]) ).
fof(f823,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| X0 = X3
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(resolution,[],[f433,f496]) ).
fof(f1056,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X1,X0,X2) != g3_lattices(X4,X5,X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| X2 = X3
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(resolution,[],[f805,f496]) ).
fof(f1093,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X1,X0,X3) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| X1 = X2
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(resolution,[],[f823,f496]) ).
fof(f1449,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| ~ v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| k9_conlat_1(X0) = X3
| ~ v1_funct_1(k9_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(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(superposition,[],[f1056,f326]) ).
fof(f1453,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k9_conlat_1(X0) = X3
| ~ v1_funct_1(k9_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(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1449,f332]) ).
fof(f1454,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k9_conlat_1(X0) = X3
| ~ 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(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1453,f343]) ).
fof(f1455,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k9_conlat_1(X0) = X3
| ~ v1_funct_1(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1454,f342]) ).
fof(f1456,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k9_conlat_1(X0) = X3
| ~ m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_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))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1455,f333]) ).
fof(f1457,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k9_conlat_1(X0) = X3
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1456,f331]) ).
fof(f1458,plain,
! [X2,X3,X0,X1] :
( v3_conlat_1(X0)
| k9_conlat_1(X0) = X3
| k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1457,f341]) ).
fof(f1486,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| ~ v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| k8_conlat_1(X0) = X1
| ~ v1_funct_1(k9_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(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(superposition,[],[f1093,f326]) ).
fof(f1490,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k8_conlat_1(X0) = X1
| ~ v1_funct_1(k9_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(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1486,f332]) ).
fof(f1491,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k8_conlat_1(X0) = X1
| ~ 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(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1490,f343]) ).
fof(f1492,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k8_conlat_1(X0) = X1
| ~ v1_funct_1(k10_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))
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1491,f342]) ).
fof(f1493,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k8_conlat_1(X0) = X1
| ~ m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_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))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1492,f333]) ).
fof(f1494,plain,
! [X2,X3,X0,X1] :
( k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| k8_conlat_1(X0) = X1
| ~ m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1493,f331]) ).
fof(f1495,plain,
! [X2,X3,X0,X1] :
( v3_conlat_1(X0)
| k8_conlat_1(X0) = X1
| k11_conlat_1(X0) != g3_lattices(X1,X2,X3)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f1494,f341]) ).
fof(f1841,plain,
! [X2,X0,X1] :
( k9_conlat_1(sK3) = X0
| k11_conlat_1(sK3) != g3_lattices(X1,X2,X0)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f1458,f296]) ).
fof(f1842,plain,
! [X2,X0,X1] :
( k11_conlat_1(sK3) != g3_lattices(X1,X2,X0)
| k9_conlat_1(sK3) = X0 ),
inference(forward_subsumption_resolution,[],[f1841,f295]) ).
fof(f1843,plain,
! [X0] :
( k11_conlat_1(sK3) != X0
| u1_lattices(X0) = k9_conlat_1(sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f1842,f299]) ).
fof(f1849,plain,
! [X2,X0,X1] :
( k8_conlat_1(sK3) = X0
| g3_lattices(X0,X1,X2) != k11_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f1495,f296]) ).
fof(f1850,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK3)
| k8_conlat_1(sK3) = X0 ),
inference(forward_subsumption_resolution,[],[f1849,f295]) ).
fof(f1855,plain,
( k9_conlat_1(sK3) = u1_lattices(k11_conlat_1(sK3))
| ~ v3_lattices(k11_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3)) ),
inference(equality_resolution,[],[f1843]) ).
fof(f1856,plain,
( k9_conlat_1(sK3) = u1_lattices(k11_conlat_1(sK3))
| ~ v3_lattices(k11_conlat_1(sK3))
| ~ spl37_7 ),
inference(forward_subsumption_resolution,[],[f1855,f576]) ).
fof(f1858,definition,
( spl37_54
<=> v3_lattices(k11_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl37_54])],[avatar_definition]) ).
fof(f1859,plain,
( v3_lattices(k11_conlat_1(sK3))
| ~ spl37_54 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1860,plain,
( ~ v3_lattices(k11_conlat_1(sK3))
| spl37_54 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1862,definition,
( spl37_55
<=> k9_conlat_1(sK3) = u1_lattices(k11_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl37_55])],[avatar_definition]) ).
fof(f1864,plain,
( k9_conlat_1(sK3) = u1_lattices(k11_conlat_1(sK3))
| ~ spl37_55 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1865,plain,
( ~ spl37_54
| spl37_55
| ~ spl37_7 ),
inference(avatar_split_clause,[],[f1856,f575,f1862,f1858]) ).
fof(f1868,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl37_54 ),
inference(resolution,[],[f1860,f335]) ).
fof(f1869,plain,
( ~ l2_conlat_1(sK3)
| spl37_54 ),
inference(forward_subsumption_resolution,[],[f1868,f296]) ).
fof(f1870,plain,
( $false
| spl37_54 ),
inference(forward_subsumption_resolution,[],[f1869,f295]) ).
fof(f1871,plain,
spl37_54,
inference(avatar_contradiction_clause,[],[f1870]) ).
fof(f1879,plain,
( k11_conlat_1(sK3) = g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),k9_conlat_1(sK3))
| ~ v3_lattices(k11_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3))
| ~ spl37_55 ),
inference(superposition,[],[f299,f1864]) ).
fof(f1902,plain,
( k11_conlat_1(sK3) = g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),k9_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3))
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f1879,f1859]) ).
fof(f1917,plain,
( k11_conlat_1(sK3) = g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),k9_conlat_1(sK3))
| ~ spl37_7
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f1902,f576]) ).
fof(f1980,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ spl37_8 ),
inference(resolution,[],[f581,f336]) ).
fof(f1983,plain,
( ~ l2_conlat_1(sK3)
| ~ spl37_8 ),
inference(forward_subsumption_resolution,[],[f1980,f296]) ).
fof(f1985,plain,
( $false
| ~ spl37_8 ),
inference(forward_subsumption_resolution,[],[f1983,f295]) ).
fof(f1986,plain,
~ spl37_8,
inference(avatar_contradiction_clause,[],[f1985]) ).
fof(f2044,plain,
( k11_conlat_1(sK3) != k11_conlat_1(sK3)
| u1_struct_0(k11_conlat_1(sK3)) = k8_conlat_1(sK3)
| ~ spl37_7
| ~ spl37_54
| ~ spl37_55 ),
inference(superposition,[],[f1850,f1917]) ).
fof(f2045,plain,
( u1_struct_0(k11_conlat_1(sK3)) = k8_conlat_1(sK3)
| ~ spl37_7
| ~ spl37_54
| ~ spl37_55 ),
inference(trivial_inequality_removal,[],[f2044]) ).
fof(f2067,plain,
( ~ r1_tarski(k8_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl37_7
| spl37_9
| ~ spl37_54
| ~ spl37_55 ),
inference(superposition,[],[f595,f2045]) ).
fof(f2099,plain,
( ! [X0] :
( m1_subset_1(k15_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| v3_struct_0(k11_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3)) )
| ~ spl37_7
| ~ spl37_54
| ~ spl37_55 ),
inference(superposition,[],[f337,f2045]) ).
fof(f2100,plain,
( ! [X0] :
( m1_subset_1(k16_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| v3_struct_0(k11_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3)) )
| ~ spl37_7
| ~ spl37_54
| ~ spl37_55 ),
inference(superposition,[],[f338,f2045]) ).
fof(f2155,plain,
( ! [X0] :
( m1_subset_1(k16_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3)) )
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2100,f580]) ).
fof(f2156,plain,
( ! [X0] :
( m1_subset_1(k15_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3)) )
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2099,f580]) ).
fof(f2162,plain,
( $false
| ~ spl37_7
| spl37_9
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2067,f498]) ).
fof(f2163,plain,
( ~ spl37_7
| spl37_9
| ~ spl37_54
| ~ spl37_55 ),
inference(avatar_contradiction_clause,[],[f2162]) ).
fof(f2206,plain,
( ! [X0] : m1_subset_1(k16_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2155,f576]) ).
fof(f2207,plain,
( ! [X0] : m1_subset_1(k15_lattice3(k11_conlat_1(sK3),X0),k8_conlat_1(sK3))
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2156,f576]) ).
fof(f2217,plain,
( v1_xboole_0(k8_conlat_1(sK3))
| ~ spl37_7
| ~ spl37_10
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_demodulation,[],[f589,f2045]) ).
fof(f2218,plain,
( $false
| ~ spl37_7
| ~ spl37_10
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2217,f548]) ).
fof(f2219,plain,
( ~ spl37_7
| ~ spl37_10
| ~ spl37_54
| ~ spl37_55 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
fof(f2224,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl37_2 ),
inference(resolution,[],[f522,f504]) ).
fof(f2225,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| spl37_2 ),
inference(forward_subsumption_resolution,[],[f2224,f296]) ).
fof(f2226,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_2 ),
inference(forward_subsumption_resolution,[],[f2225,f295]) ).
fof(f2227,plain,
( v1_xboole_0(k8_conlat_1(sK3))
| ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_2 ),
inference(resolution,[],[f2226,f500]) ).
fof(f2228,plain,
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_2 ),
inference(forward_subsumption_resolution,[],[f2227,f548]) ).
fof(f2235,plain,
( ! [X0] :
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k8_conlat_1(sK3))) )
| spl37_2 ),
inference(resolution,[],[f2228,f509]) ).
fof(f2236,plain,
( ! [X0] :
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK3),sK4),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k8_conlat_1(sK3))) )
| spl37_2 ),
inference(resolution,[],[f2235,f500]) ).
fof(f2242,plain,
( v1_xboole_0(u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| v3_struct_0(k11_conlat_1(sK3))
| ~ l3_lattices(k11_conlat_1(sK3))
| spl37_2 ),
inference(resolution,[],[f2236,f337]) ).
fof(f2247,plain,
( v1_xboole_0(u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| ~ l3_lattices(k11_conlat_1(sK3))
| spl37_2
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f2242,f580]) ).
fof(f2248,plain,
( v1_xboole_0(u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| spl37_2
| ~ spl37_7
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f2247,f576]) ).
fof(f2249,plain,
( v1_xboole_0(k8_conlat_1(sK3))
| ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| spl37_2
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_demodulation,[],[f2248,f2045]) ).
fof(f2250,plain,
( ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| spl37_2
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2249,f548]) ).
fof(f2251,plain,
( ~ m1_subset_1(k8_conlat_1(sK3),k1_zfmisc_1(k8_conlat_1(sK3)))
| spl37_2
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_demodulation,[],[f2250,f2045]) ).
fof(f2332,plain,
( ~ r1_tarski(k8_conlat_1(sK3),k8_conlat_1(sK3))
| spl37_2
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(resolution,[],[f2251,f508]) ).
fof(f2334,plain,
( $false
| spl37_2
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2332,f498]) ).
fof(f2335,plain,
( spl37_2
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2339,definition,
( spl37_86
<=> r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl37_86])],[avatar_definition]) ).
fof(f2340,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_86 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2347,plain,
( ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_4 ),
inference(resolution,[],[f530,f563]) ).
fof(f2364,plain,
( v1_xboole_0(k8_conlat_1(sK3))
| ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_86 ),
inference(resolution,[],[f2340,f500]) ).
fof(f2365,plain,
( ~ m1_subset_1(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_86 ),
inference(forward_subsumption_resolution,[],[f2364,f548]) ).
fof(f2403,plain,
( $false
| spl37_4
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(resolution,[],[f2206,f2347]) ).
fof(f2405,plain,
( spl37_4
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2407,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl37_5 ),
inference(resolution,[],[f534,f504]) ).
fof(f2408,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f2407,f296]) ).
fof(f2409,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f2408,f295]) ).
fof(f2410,plain,
( v1_xboole_0(k8_conlat_1(sK3))
| ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_5 ),
inference(resolution,[],[f2409,f500]) ).
fof(f2411,plain,
( ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f2410,f548]) ).
fof(f2412,plain,
( $false
| spl37_5
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(forward_subsumption_resolution,[],[f2411,f2206]) ).
fof(f2413,plain,
( spl37_5
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(avatar_contradiction_clause,[],[f2412]) ).
fof(f2417,definition,
( spl37_88
<=> r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl37_88])],[avatar_definition]) ).
fof(f2418,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_88 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2425,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ spl37_6 ),
inference(resolution,[],[f538,f505]) ).
fof(f2426,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f2425,f296]) ).
fof(f2427,plain,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f2426,f295]) ).
fof(f2428,plain,
( ~ spl37_88
| ~ spl37_6 ),
inference(avatar_split_clause,[],[f2427,f536,f2417]) ).
fof(f2429,plain,
( v1_xboole_0(k8_conlat_1(sK3))
| ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_88 ),
inference(resolution,[],[f2418,f500]) ).
fof(f2430,plain,
( ~ m1_subset_1(k16_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| spl37_88 ),
inference(forward_subsumption_resolution,[],[f2429,f548]) ).
fof(f2431,plain,
( $false
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55
| spl37_88 ),
inference(forward_subsumption_resolution,[],[f2430,f2206]) ).
fof(f2432,plain,
( ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55
| spl37_88 ),
inference(avatar_contradiction_clause,[],[f2431]) ).
fof(f2433,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ spl37_3 ),
inference(resolution,[],[f526,f505]) ).
fof(f2607,plain,
( $false
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55
| spl37_86 ),
inference(resolution,[],[f2207,f2365]) ).
fof(f2610,plain,
( ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55
| spl37_86 ),
inference(avatar_contradiction_clause,[],[f2607]) ).
fof(f2612,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| ~ spl37_3 ),
inference(forward_subsumption_resolution,[],[f2433,f296]) ).
fof(f2613,plain,
( ~ r2_hidden(k15_lattice3(k11_conlat_1(sK3),sK4),k8_conlat_1(sK3))
| ~ spl37_3 ),
inference(forward_subsumption_resolution,[],[f2612,f295]) ).
fof(f2614,plain,
( ~ spl37_86
| ~ spl37_3 ),
inference(avatar_split_clause,[],[f2613,f524,f2339]) ).
cnf(s1,plain,
( ~ spl37_1
| ~ spl37_2
| spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_6 ),
inference(sat_conversion,[],[f539]) ).
cnf(s2,plain,
( spl37_1
| ~ spl37_7
| spl37_8
| ~ spl37_9
| spl37_10 ),
inference(sat_conversion,[],[f590]) ).
cnf(s3,plain,
spl37_7,
inference(sat_conversion,[],[f594]) ).
cnf(s37,plain,
( ~ spl37_7
| ~ spl37_54
| spl37_55 ),
inference(sat_conversion,[],[f1865]) ).
cnf(s38,plain,
spl37_54,
inference(sat_conversion,[],[f1871]) ).
cnf(s49,plain,
~ spl37_8,
inference(sat_conversion,[],[f1986]) ).
cnf(s57,plain,
( ~ spl37_7
| spl37_9
| ~ spl37_54
| ~ spl37_55 ),
inference(sat_conversion,[],[f2163]) ).
cnf(s62,plain,
( ~ spl37_7
| ~ spl37_10
| ~ spl37_54
| ~ spl37_55 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s71,plain,
( spl37_2
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(sat_conversion,[],[f2335]) ).
cnf(s74,plain,
( spl37_4
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(sat_conversion,[],[f2405]) ).
cnf(s75,plain,
( spl37_5
| ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s77,plain,
( ~ spl37_6
| ~ spl37_88 ),
inference(sat_conversion,[],[f2428]) ).
cnf(s78,plain,
( ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55
| spl37_88 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s88,plain,
( ~ spl37_7
| spl37_8
| ~ spl37_54
| ~ spl37_55
| spl37_86 ),
inference(sat_conversion,[],[f2610]) ).
cnf(s89,plain,
( ~ spl37_3
| ~ spl37_86 ),
inference(sat_conversion,[],[f2614]) ).
cnf(s94,plain,
( ~ spl37_7
| spl37_55 ),
inference(rat,[],[s37,s38]) ).
cnf(s107,plain,
spl37_55,
inference(rat,[],[s94,s3]) ).
cnf(s115,plain,
spl37_86,
inference(rat,[],[s88,s3,s38,s49,s107]) ).
cnf(s116,plain,
spl37_88,
inference(rat,[],[s78,s3,s38,s49,s107]) ).
cnf(s118,plain,
spl37_5,
inference(rat,[],[s75,s3,s38,s49,s107]) ).
cnf(s119,plain,
spl37_4,
inference(rat,[],[s74,s3,s38,s49,s107]) ).
cnf(s120,plain,
spl37_2,
inference(rat,[],[s71,s3,s38,s49,s107]) ).
cnf(s121,plain,
~ spl37_10,
inference(rat,[],[s62,s3,s38,s107]) ).
cnf(s122,plain,
spl37_9,
inference(rat,[],[s57,s3,s38,s107]) ).
cnf(s125,plain,
~ spl37_3,
inference(rat,[],[s89,s115]) ).
cnf(s127,plain,
~ spl37_6,
inference(rat,[],[s77,s116]) ).
cnf(s128,plain,
spl37_1,
inference(rat,[],[s2,s121,s122,s49,s3]) ).
cnf(s129,plain,
$false,
inference(rat,[],[s1,s127,s118,s119,s125,s120,s128]) ).
fof(f2615,plain,
$false,
inference(avatar_sat_refutation,[],[s129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT338+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:42:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 3.19/1.35 % (2646429)Detected formulas, will run a generic FOF schedule.
% 3.19/1.35 % (2646437)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3812993209:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.19/1.35 % (2646437)Refutation not found, incomplete strategy
% 3.19/1.35 % (2646437)------------------------------
% 3.19/1.35 % (2646437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35 % (2646437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35 % (2646437)CaDiCaL version: 2.1.3
% 3.19/1.35 % (2646437)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.35 % (2646437)Time elapsed: 0.001 s
% 3.19/1.35 % (2646437)Peak memory usage: 88 MB
% 3.19/1.35 % (2646437)Instructions burned: 1 (million)
% 3.19/1.35 % (2646440)dis-21_1_sil=8000:lcm=predicate:random_seed=1610537180:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.19/1.35 % (2646439)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3597937856:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.19/1.35 % (2646435)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=541098361:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.19/1.35 % (2646434)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=2214449409:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.19/1.35 % (2646436)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=60223312:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.19/1.35 % (2646438)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4075759154:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.19/1.35 % (2646440)Instruction limit reached!
% 3.19/1.35 % (2646440)------------------------------
% 3.19/1.35 % (2646440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.36 % (2646440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.36 % (2646440)CaDiCaL version: 2.1.3
% 3.19/1.36 % (2646440)Termination reason: Instruction limit
% 3.19/1.36 % (2646440)Termination phase: Saturation
% 3.19/1.36 % (2646440)Time elapsed: 0.067 s
% 3.19/1.36 % (2646440)Peak memory usage: 92 MB
% 3.19/1.36 % (2646440)Instructions burned: 130 (million)
% 3.19/1.36 % (2646438)Instruction limit reached!
% 3.19/1.36 % (2646438)------------------------------
% 3.19/1.36 % (2646438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.36 % (2646438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.36 % (2646438)CaDiCaL version: 2.1.3
% 3.19/1.36 % (2646438)Termination reason: Instruction limit
% 3.19/1.36 % (2646438)Termination phase: Saturation
% 3.19/1.36 % (2646438)Time elapsed: 0.069 s
% 3.19/1.36 % (2646438)Peak memory usage: 88 MB
% 3.19/1.36 % (2646438)Instructions burned: 120 (million)
% 3.19/1.36 % (2646437)------------------------------
% 3.19/1.36 % (2646437)------------------------------
% 3.19/1.36 % (2646439)First to succeed.
% 3.19/1.36 % (2646439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2646429"
% 3.19/1.36 % (2646450)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2949765400:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.19/1.36 % (2646448)lrs+10_1_sil=8000:sp=occurrence:random_seed=353363928:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.19/1.36 % (2646449)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2897438665:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.19/1.36 % (2646449)Refutation not found, incomplete strategy
% 3.19/1.36 % (2646449)------------------------------
% 3.19/1.36 % (2646449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.36 % (2646449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.36 % (2646449)CaDiCaL version: 2.1.3
% 3.19/1.36 % (2646449)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.36 % (2646449)Time elapsed: 0.003 s
% 3.19/1.36 % (2646449)Peak memory usage: 89 MB
% 3.19/1.36 % (2646449)Instructions burned: 3 (million)
% 3.19/1.36 % (2646448)Also succeeded, but the first one will report.
% 3.19/1.36 % (2646450)Instruction limit reached!
% 3.19/1.36 % (2646450)------------------------------
% 3.19/1.36 % (2646450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.36 % (2646450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.36 % (2646450)CaDiCaL version: 2.1.3
% 3.19/1.36 % (2646450)Termination reason: Instruction limit
% 3.19/1.36 % (2646450)Termination phase: Saturation
% 3.19/1.36 % (2646450)Time elapsed: 0.101 s
% 3.19/1.36 % (2646450)Peak memory usage: 93 MB
% 3.19/1.36 % (2646450)Instructions burned: 326 (million)
% 3.19/1.36 % (2646439)Refutation found. Thanks to Tanya!
% 3.19/1.36 % SZS status Theorem for theBenchmark
% 3.19/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 4.11/1.45 % (2646439)------------------------------
% 4.11/1.45 % (2646439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.45 % (2646439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.45 % (2646439)CaDiCaL version: 2.1.3
% 4.11/1.45 % (2646439)Termination reason: Refutation
% 4.11/1.45 % (2646439)Time elapsed: 0.107 s
% 4.11/1.45 % (2646439)Peak memory usage: 91 MB
% 4.11/1.45 % (2646439)Instructions burned: 138 (million)
% 4.11/1.45 % (2646439)------------------------------
% 4.11/1.45 % (2646439)------------------------------
% 4.11/1.45 % (2646429)Success in time 0.516 s
% 4.11/1.45 % Vampire exiting
%------------------------------------------------------------------------------