%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n019.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 11:48:30 AM UTC 2026
% Result : Theorem 2.49s 0.86s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 198 ( 35 unt; 12 def)
% Number of atoms : 670 ( 53 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 753 ( 281 ~; 293 |; 147 &)
% ( 11 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 8 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 155 ( 0 sgn 151 !; 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(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(f30,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f35,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f59,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_2) ).
fof(f60,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
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(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(f115,plain,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f59]) ).
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(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(f168,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f171,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f186,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f187,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f189,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f188]) ).
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(f247,definition,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f248,plain,
! [X0] :
( sP0(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(definition_folding,[],[f187,f247]) ).
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(f265,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f247]) ).
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] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f326,plain,
! [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)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f331,plain,
! [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)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f332,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_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)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f333,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k10_conlat_1(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f334,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l3_lattices(k11_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(f341,plain,
! [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)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f342,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_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)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f343,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k9_conlat_1(X0)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f344,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f348,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f381,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f382,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f383,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f384,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ 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(cnf_transformation,[],[f215]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
fof(f500,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f503,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k8_conlat_1(X0))
| l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f504,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k8_conlat_1(X0))
| v9_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f505,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ v7_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f515,definition,
sF37 = k11_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f516,plain,
k11_conlat_1(sK3) = sF37,
inference(reorient_equations,[],[f515]) ).
fof(f517,definition,
sF38 = k16_lattice3(sF37,sK4),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f518,plain,
k16_lattice3(sF37,sK4) = sF38,
inference(reorient_equations,[],[f517]) ).
fof(f519,definition,
sF39 = k15_lattice3(sF37,sK4),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f520,plain,
k15_lattice3(sF37,sK4) = sF39,
inference(reorient_equations,[],[f519]) ).
fof(f521,plain,
( v7_conlat_1(sF38,sK3)
| ~ v9_conlat_1(sF38,sK3)
| ~ l3_conlat_1(sF38,sK3)
| v7_conlat_1(sF39,sK3)
| ~ v9_conlat_1(sF39,sK3)
| ~ l3_conlat_1(sF39,sK3) ),
inference(definition_folding,[],[f298,f520,f516,f520,f516,f520,f516,f518,f516,f518,f516,f518,f516]) ).
fof(f522,definition,
sF40 = u1_struct_0(sF37),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
fof(f523,plain,
u1_struct_0(sF37) = sF40,
inference(reorient_equations,[],[f522]) ).
fof(f528,definition,
( spl42_1
<=> l3_conlat_1(sF39,sK3) ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
fof(f530,plain,
( ~ l3_conlat_1(sF39,sK3)
| spl42_1 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f532,definition,
( spl42_2
<=> v9_conlat_1(sF39,sK3) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f534,plain,
( ~ v9_conlat_1(sF39,sK3)
| spl42_2 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl42_3
<=> v7_conlat_1(sF39,sK3) ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f540,definition,
( spl42_4
<=> l3_conlat_1(sF38,sK3) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f544,definition,
( spl42_5
<=> v9_conlat_1(sF38,sK3) ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f548,definition,
( spl42_6
<=> v7_conlat_1(sF38,sK3) ),
introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition]) ).
fof(f550,plain,
( v7_conlat_1(sF38,sK3)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f551,plain,
( ~ spl42_1
| ~ spl42_2
| spl42_3
| ~ spl42_4
| ~ spl42_5
| spl42_6 ),
inference(avatar_split_clause,[],[f521,f548,f544,f540,f536,f532,f528]) ).
fof(f587,definition,
( spl42_7
<=> sP0(sK3) ),
introduced(definition,[new_symbols(definition,[spl42_7])],[avatar_definition]) ).
fof(f588,plain,
( sP0(sK3)
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f589,plain,
( ~ sP0(sK3)
| spl42_7 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f608,plain,
( v3_lattices(sF37)
| ~ sP0(sK3) ),
inference(superposition,[],[f381,f516]) ).
fof(f609,plain,
( ~ v3_struct_0(sF37)
| ~ sP0(sK3) ),
inference(superposition,[],[f382,f516]) ).
fof(f651,plain,
( v3_conlat_1(sK3)
| sP0(sK3) ),
inference(resolution,[],[f383,f295]) ).
fof(f662,plain,
sP0(sK3),
inference(forward_subsumption_resolution,[],[f651,f296]) ).
fof(f663,plain,
( $false
| spl42_7 ),
inference(forward_subsumption_resolution,[],[f662,f589]) ).
fof(f664,plain,
spl42_7,
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f674,plain,
( v3_lattices(sF37)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f608,f588]) ).
fof(f675,plain,
( ~ v3_struct_0(sF37)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f609,f588]) ).
fof(f695,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k10_conlat_1(sK3)) ),
inference(resolution,[],[f333,f295]) ).
fof(f697,plain,
v1_funct_1(k10_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f695,f296]) ).
fof(f698,plain,
( v3_conlat_1(sK3)
| l3_lattices(k11_conlat_1(sK3)) ),
inference(resolution,[],[f334,f295]) ).
fof(f700,plain,
l3_lattices(k11_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f698,f296]) ).
fof(f701,plain,
l3_lattices(sF37),
inference(forward_demodulation,[],[f700,f516]) ).
fof(f702,plain,
l1_lattices(sF37),
inference(resolution,[],[f701,f348]) ).
fof(f709,plain,
l1_struct_0(sF37),
inference(resolution,[],[f702,f344]) ).
fof(f713,plain,
( v3_conlat_1(sK3)
| v1_funct_1(k9_conlat_1(sK3)) ),
inference(resolution,[],[f343,f295]) ).
fof(f715,plain,
v1_funct_1(k9_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f713,f296]) ).
fof(f716,plain,
( ~ v1_xboole_0(sF40)
| v3_struct_0(sF37)
| ~ l1_struct_0(sF37) ),
inference(superposition,[],[f384,f523]) ).
fof(f717,plain,
( ~ v1_xboole_0(sF40)
| ~ l1_struct_0(sF37)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f716,f675]) ).
fof(f718,plain,
( ~ v1_xboole_0(sF40)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f717,f709]) ).
fof(f920,plain,
( m1_subset_1(sF39,u1_struct_0(sF37))
| v3_struct_0(sF37)
| ~ l3_lattices(sF37) ),
inference(superposition,[],[f337,f520]) ).
fof(f923,plain,
( m1_subset_1(sF39,u1_struct_0(sF37))
| ~ l3_lattices(sF37)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f920,f675]) ).
fof(f925,plain,
( m1_subset_1(sF39,u1_struct_0(sF37))
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f923,f701]) ).
fof(f926,plain,
( m1_subset_1(sF39,sF40)
| ~ spl42_7 ),
inference(forward_demodulation,[],[f925,f523]) ).
fof(f927,plain,
( r2_hidden(sF39,sF40)
| v1_xboole_0(sF40)
| ~ spl42_7 ),
inference(resolution,[],[f926,f500]) ).
fof(f928,plain,
( r2_hidden(sF39,sF40)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f927,f718]) ).
fof(f930,plain,
( m1_subset_1(sF38,u1_struct_0(sF37))
| v3_struct_0(sF37)
| ~ l3_lattices(sF37) ),
inference(superposition,[],[f338,f518]) ).
fof(f933,plain,
( m1_subset_1(sF38,u1_struct_0(sF37))
| ~ l3_lattices(sF37)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f930,f675]) ).
fof(f935,plain,
( m1_subset_1(sF38,u1_struct_0(sF37))
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f933,f701]) ).
fof(f936,plain,
( m1_subset_1(sF38,sF40)
| ~ spl42_7 ),
inference(forward_demodulation,[],[f935,f523]) ).
fof(f937,plain,
( r2_hidden(sF38,sF40)
| v1_xboole_0(sF40)
| ~ spl42_7 ),
inference(resolution,[],[f936,f500]) ).
fof(f938,plain,
( r2_hidden(sF38,sF40)
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f937,f718]) ).
fof(f1019,plain,
( sF37 = g3_lattices(u1_struct_0(sF37),u2_lattices(sF37),u1_lattices(sF37))
| ~ l3_lattices(sF37)
| ~ spl42_7 ),
inference(resolution,[],[f299,f674]) ).
fof(f1020,plain,
( sF37 = g3_lattices(u1_struct_0(sF37),u2_lattices(sF37),u1_lattices(sF37))
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f1019,f701]) ).
fof(f1025,plain,
( sF37 = g3_lattices(sF40,u2_lattices(sF37),u1_lattices(sF37))
| ~ spl42_7 ),
inference(forward_demodulation,[],[f1020,f523]) ).
fof(f1072,plain,
( v3_conlat_1(sK3)
| k11_conlat_1(sK3) = g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)) ),
inference(resolution,[],[f326,f295]) ).
fof(f1074,plain,
k11_conlat_1(sK3) = g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f1072,f296]) ).
fof(f1075,plain,
sF37 = g3_lattices(k8_conlat_1(sK3),k10_conlat_1(sK3),k9_conlat_1(sK3)),
inference(forward_demodulation,[],[f1074,f516]) ).
fof(f1076,plain,
( v3_conlat_1(sK3)
| m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(resolution,[],[f331,f295]) ).
fof(f1078,plain,
m2_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f1076,f296]) ).
fof(f1083,plain,
( v3_conlat_1(sK3)
| v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(resolution,[],[f332,f295]) ).
fof(f1085,plain,
v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f1083,f296]) ).
fof(f1086,plain,
m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(resolution,[],[f1078,f496]) ).
fof(f1087,plain,
( v3_conlat_1(sK3)
| m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(resolution,[],[f341,f295]) ).
fof(f1089,plain,
m2_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f1087,f296]) ).
fof(f1090,plain,
( v3_conlat_1(sK3)
| v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(resolution,[],[f342,f295]) ).
fof(f1092,plain,
v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f1090,f296]) ).
fof(f1093,plain,
m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)),
inference(resolution,[],[f1089,f496]) ).
fof(f1754,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF37
| k8_conlat_1(sK3) = X0
| ~ v1_funct_1(k10_conlat_1(sK3))
| ~ v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ v1_funct_1(k9_conlat_1(sK3))
| ~ v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(superposition,[],[f433,f1075]) ).
fof(f1758,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF37
| k8_conlat_1(sK3) = X0
| ~ v1_funct_2(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ v1_funct_1(k9_conlat_1(sK3))
| ~ v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(forward_subsumption_resolution,[],[f1754,f697]) ).
fof(f1760,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF37
| k8_conlat_1(sK3) = X0
| ~ m1_relset_1(k10_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ v1_funct_1(k9_conlat_1(sK3))
| ~ v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(forward_subsumption_resolution,[],[f1758,f1085]) ).
fof(f1762,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF37
| k8_conlat_1(sK3) = X0
| ~ v1_funct_1(k9_conlat_1(sK3))
| ~ v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(forward_subsumption_resolution,[],[f1760,f1086]) ).
fof(f1764,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF37
| k8_conlat_1(sK3) = X0
| ~ v1_funct_2(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3))
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(forward_subsumption_resolution,[],[f1762,f715]) ).
fof(f1766,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF37
| k8_conlat_1(sK3) = X0
| ~ m1_relset_1(k9_conlat_1(sK3),k2_zfmisc_1(k8_conlat_1(sK3),k8_conlat_1(sK3)),k8_conlat_1(sK3)) ),
inference(forward_subsumption_resolution,[],[f1764,f1092]) ).
fof(f1768,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF37
| k8_conlat_1(sK3) = X0 ),
inference(forward_subsumption_resolution,[],[f1766,f1093]) ).
fof(f3347,plain,
( sF37 != sF37
| sF40 = k8_conlat_1(sK3)
| ~ spl42_7 ),
inference(superposition,[],[f1768,f1025]) ).
fof(f3352,plain,
( sF40 = k8_conlat_1(sK3)
| ~ spl42_7 ),
inference(trivial_inequality_removal,[],[f3347]) ).
fof(f3445,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| ~ v7_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl42_7 ),
inference(superposition,[],[f505,f3352]) ).
fof(f3446,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| v9_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl42_7 ),
inference(superposition,[],[f504,f3352]) ).
fof(f3447,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| l3_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl42_7 ),
inference(superposition,[],[f503,f3352]) ).
fof(f3448,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| l3_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3447,f296]) ).
fof(f3449,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| v9_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3446,f296]) ).
fof(f3450,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| ~ v7_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3445,f296]) ).
fof(f3470,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| l3_conlat_1(X0,sK3) )
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3448,f295]) ).
fof(f3471,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| v9_conlat_1(X0,sK3) )
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3449,f295]) ).
fof(f3472,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF40)
| ~ v7_conlat_1(X0,sK3) )
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3450,f295]) ).
fof(f3771,plain,
( l3_conlat_1(sF38,sK3)
| ~ spl42_7 ),
inference(resolution,[],[f3470,f938]) ).
fof(f3772,plain,
( l3_conlat_1(sF39,sK3)
| ~ spl42_7 ),
inference(resolution,[],[f3470,f928]) ).
fof(f3776,plain,
( $false
| spl42_1
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3772,f530]) ).
fof(f3777,plain,
( spl42_1
| ~ spl42_7 ),
inference(avatar_contradiction_clause,[],[f3776]) ).
fof(f3778,plain,
( spl42_4
| ~ spl42_7 ),
inference(avatar_split_clause,[],[f3771,f587,f540]) ).
fof(f3811,plain,
( v9_conlat_1(sF38,sK3)
| ~ spl42_7 ),
inference(resolution,[],[f3471,f938]) ).
fof(f3812,plain,
( v9_conlat_1(sF39,sK3)
| ~ spl42_7 ),
inference(resolution,[],[f3471,f928]) ).
fof(f3816,plain,
( $false
| spl42_2
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3812,f534]) ).
fof(f3817,plain,
( spl42_2
| ~ spl42_7 ),
inference(avatar_contradiction_clause,[],[f3816]) ).
fof(f3818,plain,
( spl42_5
| ~ spl42_7 ),
inference(avatar_split_clause,[],[f3811,f587,f544]) ).
fof(f3835,plain,
( ~ v7_conlat_1(sF38,sK3)
| ~ spl42_7 ),
inference(resolution,[],[f3472,f938]) ).
fof(f3836,plain,
( ~ v7_conlat_1(sF39,sK3)
| ~ spl42_7 ),
inference(resolution,[],[f3472,f928]) ).
fof(f3840,plain,
( ~ spl42_3
| ~ spl42_7 ),
inference(avatar_split_clause,[],[f3836,f587,f536]) ).
fof(f3841,plain,
( $false
| ~ spl42_6
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3835,f550]) ).
fof(f3842,plain,
( ~ spl42_6
| ~ spl42_7 ),
inference(avatar_contradiction_clause,[],[f3841]) ).
cnf(s1,plain,
( ~ spl42_1
| ~ spl42_2
| spl42_3
| ~ spl42_4
| ~ spl42_5
| spl42_6 ),
inference(sat_conversion,[],[f551]) ).
cnf(s6,plain,
spl42_7,
inference(sat_conversion,[],[f664]) ).
cnf(s128,plain,
( spl42_1
| ~ spl42_7 ),
inference(sat_conversion,[],[f3777]) ).
cnf(s129,plain,
( spl42_4
| ~ spl42_7 ),
inference(sat_conversion,[],[f3778]) ).
cnf(s130,plain,
( spl42_2
| ~ spl42_7 ),
inference(sat_conversion,[],[f3817]) ).
cnf(s131,plain,
( spl42_5
| ~ spl42_7 ),
inference(sat_conversion,[],[f3818]) ).
cnf(s132,plain,
( ~ spl42_3
| ~ spl42_7 ),
inference(sat_conversion,[],[f3840]) ).
cnf(s133,plain,
( ~ spl42_6
| ~ spl42_7 ),
inference(sat_conversion,[],[f3842]) ).
cnf(s138,plain,
~ spl42_6,
inference(rat,[],[s133,s6]) ).
cnf(s139,plain,
~ spl42_3,
inference(rat,[],[s132,s6]) ).
cnf(s140,plain,
spl42_5,
inference(rat,[],[s131,s6]) ).
cnf(s141,plain,
spl42_2,
inference(rat,[],[s130,s6]) ).
cnf(s142,plain,
spl42_4,
inference(rat,[],[s129,s6]) ).
cnf(s143,plain,
spl42_1,
inference(rat,[],[s128,s6]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s1,s138,s140,s142,s139,s141,s143]) ).
fof(f3843,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 SAT
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 14:47:19 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.49/0.86 % (3154870)Will run a generic schedule for satisfiability detection.
% 2.49/0.86 % (3154879)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3751176029:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.49/0.86 % (3154876)% WARNING: option uhcvi not known.
% 2.49/0.86 % (3154875)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4082672576_2999 on theBenchmark for (2999ds/0Mi)
% 2.49/0.86 % (3154876)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2622570012:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.49/0.86 % (3154877)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2288167991:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.49/0.86 % (3154878)dis+10_1_sil=32000:sp=arity:random_seed=1976451113:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.49/0.86 % (3154880)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1546313584:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.49/0.86 % (3154881)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=879188945:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.49/0.86 % TRYING [1]
% 2.49/0.86 % TRYING [2]
% 2.49/0.86 % TRYING [3]
% 2.49/0.86 % TRYING [4]
% 2.49/0.86 % (3154879)Instruction limit reached!
% 2.49/0.86 % (3154879)------------------------------
% 2.49/0.86 % (3154879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154879)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154879)Termination reason: Instruction limit
% 2.49/0.86 % (3154879)Termination phase: Saturation
% 2.49/0.86 % (3154879)Time elapsed: 0.041 s
% 2.49/0.86 % (3154879)Peak memory usage: 13 MB
% 2.49/0.86 % (3154879)Instructions burned: 118 (million)
% 2.49/0.86 % (3154889)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4201803827:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.49/0.86 % TRYING [1]
% 2.49/0.86 % TRYING [2]
% 2.49/0.86 % (3154878)Instruction limit reached!
% 2.49/0.86 % (3154878)------------------------------
% 2.49/0.86 % (3154878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154878)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154878)Termination reason: Instruction limit
% 2.49/0.86 % (3154878)Termination phase: Saturation
% 2.49/0.86 % (3154878)Time elapsed: 0.067 s
% 2.49/0.86 % (3154878)Peak memory usage: 13 MB
% 2.49/0.86 % (3154878)Instructions burned: 103 (million)
% 2.49/0.86 % TRYING [5]
% 2.49/0.86 % TRYING [3]
% 2.49/0.86 % (3154880)Instruction limit reached!
% 2.49/0.86 % (3154880)------------------------------
% 2.49/0.86 % (3154880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154880)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154880)Termination reason: Instruction limit
% 2.49/0.86 % (3154880)Termination phase: Saturation
% 2.49/0.86 % (3154880)Time elapsed: 0.074 s
% 2.49/0.86 % (3154880)Peak memory usage: 13 MB
% 2.49/0.86 % (3154880)Instructions burned: 132 (million)
% 2.49/0.86 % (3154891)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=397842689:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.49/0.86 % (3154881)Instruction limit reached!
% 2.49/0.86 % (3154881)------------------------------
% 2.49/0.86 % (3154881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154881)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154881)Termination reason: Instruction limit
% 2.49/0.86 % (3154881)Termination phase: Saturation
% 2.49/0.86 % (3154881)Time elapsed: 0.091 s
% 2.49/0.86 % (3154881)Peak memory usage: 14 MB
% 2.49/0.86 % (3154881)Instructions burned: 159 (million)
% 2.49/0.86 % (3154892)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1116421290:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.49/0.86 % TRYING [4]
% 2.49/0.86 % (3154894)ott-21_1_sil=16000:fs=off:random_seed=3015159432:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.49/0.86 % (3154891)Instruction limit reached!
% 2.49/0.86 % (3154891)------------------------------
% 2.49/0.86 % (3154891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154891)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154891)Termination reason: Instruction limit
% 2.49/0.86 % (3154891)Termination phase: Saturation
% 2.49/0.86 % (3154891)Time elapsed: 0.043 s
% 2.49/0.86 % (3154891)Peak memory usage: 14 MB
% 2.49/0.86 % (3154891)Instructions burned: 134 (million)
% 2.49/0.86 % (3154897)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2863825373:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.49/0.86 % TRYING [6]
% 2.49/0.86 % (3154894)Instruction limit reached!
% 2.49/0.86 % (3154894)------------------------------
% 2.49/0.86 % (3154894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154894)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154894)Termination reason: Instruction limit
% 2.49/0.86 % (3154894)Termination phase: Saturation
% 2.49/0.86 % (3154894)Time elapsed: 0.094 s
% 2.49/0.86 % (3154894)Peak memory usage: 12 MB
% 2.49/0.86 % (3154894)Instructions burned: 182 (million)
% 2.49/0.86 % (3154899)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3783607202:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.49/0.86 % TRYING [1]
% 2.49/0.86 % TRYING [2]
% 2.49/0.86 % TRYING [5]
% 2.49/0.86 % TRYING [3]
% 2.49/0.86 % TRYING [4]
% 2.49/0.86 % (3154889)Instruction limit reached!
% 2.49/0.86 % (3154889)------------------------------
% 2.49/0.86 % (3154889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154889)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154889)Termination reason: Instruction limit
% 2.49/0.86 % (3154889)Termination phase: Finite model building constraint generation
% 2.49/0.86 % (3154889)Time elapsed: 0.247 s
% 2.49/0.86 % (3154889)Peak memory usage: 29 MB
% 2.49/0.86 % (3154889)Instructions burned: 715 (million)
% 2.49/0.86 % (3154897)Instruction limit reached!
% 2.49/0.86 % (3154897)------------------------------
% 2.49/0.86 % (3154897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154897)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154897)Termination reason: Instruction limit
% 2.49/0.86 % (3154897)Termination phase: Saturation
% 2.49/0.86 % (3154897)Time elapsed: 0.171 s
% 2.49/0.86 % (3154897)Peak memory usage: 15 MB
% 2.49/0.86 % (3154897)Instructions burned: 479 (million)
% 2.49/0.86 % (3154902)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2926052351:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 2.49/0.86 % (3154901)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=911399108:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.49/0.86 % TRYING [7]
% 2.49/0.86 % TRYING [14]
% 2.49/0.86 % (3154901) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3154870-3154901"...
% 2.49/0.86 % (3154901)...printing done.
% 2.49/0.86 % (3154901)Refutation found. Thanks to Tanya!
% 2.49/0.86 % SZS status Theorem for theBenchmark
% 2.49/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.86 % (3154901)------------------------------
% 2.49/0.86 % (3154901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.86 % (3154901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.86 % (3154901)CaDiCaL version: 2.1.3
% 2.49/0.86 % (3154901)Termination reason: Refutation
% 2.49/0.86 % (3154901)Time elapsed: 0.072 s
% 2.49/0.86 % (3154901)Peak memory usage: 14 MB
% 2.49/0.86 % (3154901)Instructions burned: 108 (million)
% 2.49/0.86 % (3154870)Success in time 0.438 s
% 2.49/0.86 % Vampire exiting
%------------------------------------------------------------------------------