%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT343+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:47:07 AM UTC 2026
% Result : Theorem 3.15s 1.38s
% Output : Refutation 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 42
% Syntax : Number of formulae : 369 ( 39 unt; 21 def)
% Number of atoms : 1618 ( 79 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 2272 (1023 ~;1094 |; 100 &)
% ( 26 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 22 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 328 ( 1 sgn 320 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),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/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ( m1_conlat_1(X1,X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
=> ( ~ v7_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& l3_conlat_1(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d18_conlat_1) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',d23_conlat_1) ).
fof(f17,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/sandbox2/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f23,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_conlat_2) ).
fof(f24,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_conlat_2) ).
fof(f26,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> m1_conlat_1(k8_conlat_1(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_conlat_1) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
fof(f32,axiom,
! [X0] :
( l2_conlat_1(X0)
=> l1_conlat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_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/sandbox2/benchmark/theBenchmark.p',dt_m1_conlat_1) ).
fof(f56,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l1_conlat_1(X0) )
=> ~ v1_xboole_0(u2_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_conlat_1) ).
fof(f61,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l1_conlat_1(X0) )
=> ~ v1_xboole_0(u1_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_conlat_1) ).
fof(f71,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/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f89,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f90,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f92,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f93,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f94,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f99,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f90]) ).
fof(f100,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f93]) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) )
& m1_subset_1(X2,u2_conlat_1(X0)) )
& m1_subset_1(X1,u1_conlat_1(X0)) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) )
& m1_subset_1(X2,u2_conlat_1(X0)) )
& m1_subset_1(X1,u1_conlat_1(X0)) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f115]) ).
fof(f117,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(f118,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f117]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( m1_conlat_1(X1,X0)
<=> ! [X2] :
( ( ~ v7_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& l3_conlat_1(X2,X0) )
| ~ r2_hidden(X2,X1) ) )
| v1_xboole_0(X1) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ( m1_conlat_1(X1,X0)
<=> ! [X2] :
( ( ~ v7_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& l3_conlat_1(X2,X0) )
| ~ r2_hidden(X2,X1) ) )
| v1_xboole_0(X1) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f134]) ).
fof(f136,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,[],[f15]) ).
fof(f137,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,[],[f136]) ).
fof(f140,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,[],[f17]) ).
fof(f141,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,[],[f140]) ).
fof(f142,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,[],[f18]) ).
fof(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f145,plain,
! [X0] :
( ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f147,plain,
! [X0] :
( ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f146]) ).
fof(f150,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f151,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f152]) ).
fof(f154,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(f155,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,[],[f154]) ).
fof(f157,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f160,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(f161,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f160]) ).
fof(f168,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f169,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(flattening,[],[f168]) ).
fof(f174,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f175,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(flattening,[],[f174]) ).
fof(f194,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,[],[f71]) ).
fof(f195,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,[],[f194]) ).
fof(f210,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f211,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f213,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f94]) ).
fof(f214,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f213]) ).
fof(f225,plain,
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3) )
& m1_subset_1(sK5,u2_conlat_1(sK3))
& m1_subset_1(sK4,u1_conlat_1(sK3))
& ~ v3_conlat_1(sK3)
& l2_conlat_1(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f116]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( ( m1_conlat_1(X1,X0)
| ? [X2] :
( ( v7_conlat_1(X2,X0)
| ~ v9_conlat_1(X2,X0)
| ~ l3_conlat_1(X2,X0) )
& r2_hidden(X2,X1) ) )
& ( ! [X2] :
( ( ~ v7_conlat_1(X2,X0)
& v9_conlat_1(X2,X0)
& l3_conlat_1(X2,X0) )
| ~ r2_hidden(X2,X1) )
| ~ m1_conlat_1(X1,X0) ) )
| v1_xboole_0(X1) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( ( m1_conlat_1(X1,X0)
| ? [X2] :
( ( v7_conlat_1(X2,X0)
| ~ v9_conlat_1(X2,X0)
| ~ l3_conlat_1(X2,X0) )
& r2_hidden(X2,X1) ) )
& ( ! [X3] :
( ( ~ v7_conlat_1(X3,X0)
& v9_conlat_1(X3,X0)
& l3_conlat_1(X3,X0) )
| ~ r2_hidden(X3,X1) )
| ~ m1_conlat_1(X1,X0) ) )
| v1_xboole_0(X1) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rectify,[],[f226]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ( ( m1_conlat_1(X1,X0)
| ( ( v7_conlat_1(sK6(X0,X1),X0)
| ~ v9_conlat_1(sK6(X0,X1),X0)
| ~ l3_conlat_1(sK6(X0,X1),X0) )
& r2_hidden(sK6(X0,X1),X1) ) )
& ( ! [X3] :
( ( ~ v7_conlat_1(X3,X0)
& v9_conlat_1(X3,X0)
& l3_conlat_1(X3,X0) )
| ~ r2_hidden(X3,X1) )
| ~ m1_conlat_1(X1,X0) ) )
| v1_xboole_0(X1) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f227]) ).
fof(f258,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,[],[f89]) ).
fof(f259,plain,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f225]) ).
fof(f260,plain,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f225]) ).
fof(f261,plain,
m1_subset_1(sK4,u1_conlat_1(sK3)),
inference(cnf_transformation,[],[f225]) ).
fof(f262,plain,
m1_subset_1(sK5,u2_conlat_1(sK3)),
inference(cnf_transformation,[],[f225]) ).
fof(f263,plain,
( v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3) ),
inference(cnf_transformation,[],[f225]) ).
fof(f264,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f289,plain,
! [X3,X0,X1] :
( l3_conlat_1(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ m1_conlat_1(X1,X0)
| v1_xboole_0(X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f290,plain,
! [X3,X0,X1] :
( v9_conlat_1(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ m1_conlat_1(X1,X0)
| v1_xboole_0(X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f291,plain,
! [X3,X0,X1] :
( ~ v7_conlat_1(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ m1_conlat_1(X1,X0)
| v1_xboole_0(X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f294,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,[],[f137]) ).
fof(f297,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,[],[f141]) ).
fof(f298,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,[],[f141]) ).
fof(f299,plain,
! [X0] :
( v1_funct_1(k10_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f300,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f301,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f303,plain,
! [X0] :
( m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f304,plain,
! [X0] :
( v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f305,plain,
! [X0] :
( v1_funct_1(k4_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f306,plain,
! [X0] :
( m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f307,plain,
! [X0] :
( v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f308,plain,
! [X0] :
( v1_funct_1(k5_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f310,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f312,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,[],[f155]) ).
fof(f313,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,[],[f155]) ).
fof(f314,plain,
! [X0] :
( v1_funct_1(k9_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f316,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f320,plain,
! [X0,X1] :
( v3_conlat_1(X0)
| ~ m1_conlat_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f339,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f356,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f393,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,[],[f195]) ).
fof(f395,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,[],[f195]) ).
fof(f448,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f258]) ).
fof(f450,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f99]) ).
fof(f452,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f453,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f454,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f214]) ).
fof(f460,definition,
( spl33_1
<=> l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f462,plain,
( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| spl33_1 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f464,definition,
( spl33_2
<=> v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f466,plain,
( ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| spl33_2 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f468,definition,
( spl33_3
<=> v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f470,plain,
( v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),sK3)
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f472,definition,
( spl33_4
<=> l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f474,plain,
( ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| spl33_4 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f476,definition,
( spl33_5
<=> v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f478,plain,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| spl33_5 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f480,definition,
( spl33_6
<=> v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f482,plain,
( v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k4_conlat_2(sK3),sK4),sK3)
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( ~ spl33_1
| ~ spl33_2
| spl33_3
| ~ spl33_4
| ~ spl33_5
| spl33_6 ),
inference(avatar_split_clause,[],[f263,f480,f476,f472,f468,f464,f460]) ).
fof(f485,plain,
! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ v1_xboole_0(X0)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f320,f260]) ).
fof(f486,plain,
! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f485,f259]) ).
fof(f487,plain,
( ~ v1_xboole_0(k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f486,f310]) ).
fof(f490,plain,
( ~ v1_xboole_0(k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f487,f260]) ).
fof(f492,plain,
~ v1_xboole_0(k8_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f490,f259]) ).
fof(f507,plain,
! [X3,X0,X1] :
( v3_conlat_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_conlat_1(X1,X0)
| l3_conlat_1(X3,X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f289,f320]) ).
fof(f508,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_conlat_1(X1,sK3)
| l3_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f507,f260]) ).
fof(f509,plain,
! [X0,X1] :
( l3_conlat_1(X0,sK3)
| ~ m1_conlat_1(X1,sK3)
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f508,f259]) ).
fof(f510,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),X0)
| ~ m1_conlat_1(X0,sK3) )
| spl33_1 ),
inference(resolution,[],[f509,f462]) ).
fof(f511,plain,
! [X3,X0,X1] :
( v9_conlat_1(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ m1_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f290,f320]) ).
fof(f512,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),X0) )
| spl33_1 ),
inference(resolution,[],[f510,f452]) ).
fof(f513,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),X0) )
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f512,f486]) ).
fof(f515,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_1 ),
inference(resolution,[],[f513,f310]) ).
fof(f518,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f515,f260]) ).
fof(f520,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f518,f259]) ).
fof(f521,plain,
! [X3,X0,X1] :
( ~ v7_conlat_1(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ m1_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f291,f320]) ).
fof(f523,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k8_conlat_1(sK3))) )
| spl33_1 ),
inference(resolution,[],[f520,f454]) ).
fof(f525,plain,
( ! [X0] :
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)),k5_conlat_2(sK3),sK5),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k8_conlat_1(sK3))) )
| spl33_1 ),
inference(resolution,[],[f523,f452]) ).
fof(f600,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,X1) ),
inference(resolution,[],[f448,f311]) ).
fof(f652,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,[],[f393,f448]) ).
fof(f676,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,[],[f395,f448]) ).
fof(f742,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| 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)))
| spl33_1 ),
inference(resolution,[],[f600,f525]) ).
fof(f749,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| 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)))
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f742,f262]) ).
fof(f758,definition,
( spl33_15
<=> v1_xboole_0(u1_struct_0(k11_conlat_1(sK3))) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f760,plain,
( v1_xboole_0(u1_struct_0(k11_conlat_1(sK3)))
| ~ spl33_15 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,definition,
( spl33_16
<=> m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))) ),
introduced(definition,[new_symbols(definition,[spl33_16])],[avatar_definition]) ).
fof(f763,plain,
( m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| spl33_16 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f766,definition,
( spl33_17
<=> v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3))) ),
introduced(definition,[new_symbols(definition,[spl33_17])],[avatar_definition]) ).
fof(f767,plain,
( v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| ~ spl33_17 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f768,plain,
( ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),u1_struct_0(k11_conlat_1(sK3)))
| spl33_17 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f770,definition,
( spl33_18
<=> v1_funct_1(k5_conlat_2(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f771,plain,
( v1_funct_1(k5_conlat_2(sK3))
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f772,plain,
( ~ v1_funct_1(k5_conlat_2(sK3))
| spl33_18 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f774,definition,
( spl33_19
<=> v1_xboole_0(u2_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_19])],[avatar_definition]) ).
fof(f775,plain,
( ~ v1_xboole_0(u2_conlat_1(sK3))
| spl33_19 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f776,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| ~ spl33_19 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f779,definition,
( spl33_20
<=> m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3))) ),
introduced(definition,[new_symbols(definition,[spl33_20])],[avatar_definition]) ).
fof(f781,plain,
( ~ m1_subset_1(u1_struct_0(k11_conlat_1(sK3)),k1_zfmisc_1(k8_conlat_1(sK3)))
| spl33_20 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f782,plain,
( ~ spl33_20
| spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| spl33_19
| spl33_1 ),
inference(avatar_split_clause,[],[f749,f460,f774,f770,f766,f762,f758,f779]) ).
fof(f793,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_16 ),
inference(resolution,[],[f764,f306]) ).
fof(f795,plain,
( ~ l2_conlat_1(sK3)
| spl33_16 ),
inference(forward_subsumption_resolution,[],[f793,f260]) ).
fof(f796,plain,
( $false
| spl33_16 ),
inference(forward_subsumption_resolution,[],[f795,f259]) ).
fof(f797,plain,
spl33_16,
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f801,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_17 ),
inference(resolution,[],[f768,f307]) ).
fof(f812,plain,
( ~ l2_conlat_1(sK3)
| spl33_17 ),
inference(forward_subsumption_resolution,[],[f801,f260]) ).
fof(f813,plain,
( $false
| spl33_17 ),
inference(forward_subsumption_resolution,[],[f812,f259]) ).
fof(f814,plain,
spl33_17,
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f823,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_18 ),
inference(resolution,[],[f772,f308]) ).
fof(f824,plain,
( ~ l2_conlat_1(sK3)
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f823,f260]) ).
fof(f825,plain,
( $false
| spl33_18 ),
inference(forward_subsumption_resolution,[],[f824,f259]) ).
fof(f826,plain,
spl33_18,
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f847,plain,
( ~ r1_tarski(u1_struct_0(k11_conlat_1(sK3)),k8_conlat_1(sK3))
| spl33_20 ),
inference(resolution,[],[f781,f453]) ).
fof(f855,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,[],[f652,f448]) ).
fof(f875,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,[],[f676,f448]) ).
fof(f988,definition,
( spl33_31
<=> v1_xboole_0(u1_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_31])],[avatar_definition]) ).
fof(f989,plain,
( ~ v1_xboole_0(u1_conlat_1(sK3))
| spl33_31 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f990,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| ~ spl33_31 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f1104,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,[],[f855,f294]) ).
fof(f1108,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,[],[f1104,f298]) ).
fof(f1109,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,[],[f1108,f314]) ).
fof(f1110,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,[],[f1109,f313]) ).
fof(f1111,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,[],[f1110,f299]) ).
fof(f1112,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,[],[f1111,f297]) ).
fof(f1113,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,[],[f1112,f312]) ).
fof(f1135,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,[],[f875,f294]) ).
fof(f1139,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,[],[f1135,f298]) ).
fof(f1140,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,[],[f1139,f314]) ).
fof(f1141,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,[],[f1140,f313]) ).
fof(f1142,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,[],[f1141,f299]) ).
fof(f1143,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,[],[f1142,f297]) ).
fof(f1144,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,[],[f1143,f312]) ).
fof(f1195,definition,
( spl33_34
<=> v1_funct_1(k4_conlat_2(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_34])],[avatar_definition]) ).
fof(f1196,plain,
( v1_funct_1(k4_conlat_2(sK3))
| ~ spl33_34 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1197,plain,
( ~ v1_funct_1(k4_conlat_2(sK3))
| spl33_34 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1202,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_34 ),
inference(resolution,[],[f1197,f305]) ).
fof(f1203,plain,
( ~ l2_conlat_1(sK3)
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f1202,f260]) ).
fof(f1204,plain,
( $false
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f1203,f259]) ).
fof(f1205,plain,
spl33_34,
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1255,plain,
( v3_conlat_1(sK3)
| ~ l1_conlat_1(sK3)
| ~ spl33_19 ),
inference(resolution,[],[f776,f339]) ).
fof(f1269,plain,
( ~ l1_conlat_1(sK3)
| ~ spl33_19 ),
inference(forward_subsumption_resolution,[],[f1255,f260]) ).
fof(f1270,plain,
( ~ l2_conlat_1(sK3)
| ~ spl33_19 ),
inference(resolution,[],[f1269,f316]) ).
fof(f1271,plain,
( $false
| ~ spl33_19 ),
inference(forward_subsumption_resolution,[],[f1270,f259]) ).
fof(f1272,plain,
~ spl33_19,
inference(avatar_contradiction_clause,[],[f1271]) ).
fof(f1354,plain,
! [X2,X0,X1] :
( k9_conlat_1(sK3) = X0
| k11_conlat_1(sK3) != g3_lattices(X1,X2,X0)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f1113,f260]) ).
fof(f1355,plain,
! [X2,X0,X1] :
( k11_conlat_1(sK3) != g3_lattices(X1,X2,X0)
| k9_conlat_1(sK3) = X0 ),
inference(forward_subsumption_resolution,[],[f1354,f259]) ).
fof(f1356,plain,
! [X0] :
( k11_conlat_1(sK3) != X0
| u1_lattices(X0) = k9_conlat_1(sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f1355,f264]) ).
fof(f1362,plain,
! [X2,X0,X1] :
( k8_conlat_1(sK3) = X0
| g3_lattices(X0,X1,X2) != k11_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(resolution,[],[f1144,f260]) ).
fof(f1363,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK3)
| k8_conlat_1(sK3) = X0 ),
inference(forward_subsumption_resolution,[],[f1362,f259]) ).
fof(f1375,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,[],[f1356]) ).
fof(f1377,definition,
( spl33_48
<=> l3_lattices(k11_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_48])],[avatar_definition]) ).
fof(f1378,plain,
( l3_lattices(k11_conlat_1(sK3))
| ~ spl33_48 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1379,plain,
( ~ l3_lattices(k11_conlat_1(sK3))
| spl33_48 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1381,definition,
( spl33_49
<=> v3_lattices(k11_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_49])],[avatar_definition]) ).
fof(f1382,plain,
( v3_lattices(k11_conlat_1(sK3))
| ~ spl33_49 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1383,plain,
( ~ v3_lattices(k11_conlat_1(sK3))
| spl33_49 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1385,definition,
( spl33_50
<=> k9_conlat_1(sK3) = u1_lattices(k11_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_50])],[avatar_definition]) ).
fof(f1387,plain,
( k9_conlat_1(sK3) = u1_lattices(k11_conlat_1(sK3))
| ~ spl33_50 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1388,plain,
( ~ spl33_48
| ~ spl33_49
| spl33_50 ),
inference(avatar_split_clause,[],[f1375,f1385,f1381,f1377]) ).
fof(f1391,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_48 ),
inference(resolution,[],[f1379,f300]) ).
fof(f1392,plain,
( ~ l2_conlat_1(sK3)
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f1391,f260]) ).
fof(f1393,plain,
( $false
| spl33_48 ),
inference(forward_subsumption_resolution,[],[f1392,f259]) ).
fof(f1394,plain,
spl33_48,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1401,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_49 ),
inference(resolution,[],[f1383,f301]) ).
fof(f1402,plain,
( ~ l2_conlat_1(sK3)
| spl33_49 ),
inference(forward_subsumption_resolution,[],[f1401,f260]) ).
fof(f1403,plain,
( $false
| spl33_49 ),
inference(forward_subsumption_resolution,[],[f1402,f259]) ).
fof(f1404,plain,
spl33_49,
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1426,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))
| ~ spl33_50 ),
inference(superposition,[],[f264,f1387]) ).
fof(f1465,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))
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1426,f1382]) ).
fof(f1466,plain,
( k11_conlat_1(sK3) = g3_lattices(u1_struct_0(k11_conlat_1(sK3)),u2_lattices(k11_conlat_1(sK3)),k9_conlat_1(sK3))
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1465,f1378]) ).
fof(f1639,plain,
( k11_conlat_1(sK3) != k11_conlat_1(sK3)
| u1_struct_0(k11_conlat_1(sK3)) = k8_conlat_1(sK3)
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(superposition,[],[f1363,f1466]) ).
fof(f1640,plain,
( u1_struct_0(k11_conlat_1(sK3)) = k8_conlat_1(sK3)
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(trivial_inequality_removal,[],[f1639]) ).
fof(f1708,plain,
( m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_16
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(superposition,[],[f763,f1640]) ).
fof(f1709,plain,
( v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_17
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(superposition,[],[f767,f1640]) ).
fof(f1717,plain,
( ~ r1_tarski(k8_conlat_1(sK3),k8_conlat_1(sK3))
| spl33_20
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(superposition,[],[f847,f1640]) ).
fof(f1746,plain,
( v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(superposition,[],[f304,f1640]) ).
fof(f1747,plain,
( m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(superposition,[],[f303,f1640]) ).
fof(f1783,plain,
( m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1747,f260]) ).
fof(f1784,plain,
( v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1746,f260]) ).
fof(f1789,plain,
( $false
| spl33_20
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1717,f450]) ).
fof(f1790,plain,
( spl33_20
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1816,plain,
( m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1783,f259]) ).
fof(f1817,plain,
( v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1784,f259]) ).
fof(f1825,plain,
( v1_xboole_0(k8_conlat_1(sK3))
| ~ spl33_15
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_demodulation,[],[f760,f1640]) ).
fof(f1827,plain,
( $false
| ~ spl33_15
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1825,f492]) ).
fof(f1828,plain,
( ~ spl33_15
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
fof(f1830,plain,
( ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),sK3)
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_demodulation,[],[f466,f1640]) ).
fof(f1835,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0)
| ~ m1_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f1830,f511]) ).
fof(f1836,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0)
| ~ m1_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) )
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1835,f260]) ).
fof(f1837,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0)
| ~ m1_conlat_1(X0,sK3) )
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1836,f259]) ).
fof(f1843,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0) )
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f1837,f452]) ).
fof(f1844,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0) )
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1843,f486]) ).
fof(f1847,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f1844,f310]) ).
fof(f1850,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1847,f260]) ).
fof(f1852,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1850,f259]) ).
fof(f1859,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| spl33_2
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f1852,f600]) ).
fof(f1861,plain,
( ~ v1_funct_1(k5_conlat_2(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| spl33_2
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1859,f775]) ).
fof(f1862,plain,
( ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| spl33_2
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1861,f771]) ).
fof(f1863,plain,
( ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| spl33_2
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f1862,f262]) ).
fof(f1865,definition,
( spl33_79
<=> m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_79])],[avatar_definition]) ).
fof(f1866,plain,
( m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_79 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f1869,definition,
( spl33_80
<=> v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_80])],[avatar_definition]) ).
fof(f1870,plain,
( v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_80 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f1872,plain,
( ~ spl33_79
| ~ spl33_80
| spl33_2
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f1863,f1385,f1381,f1377,f774,f770,f464,f1869,f1865]) ).
fof(f2022,plain,
( spl33_79
| ~ spl33_16
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f1708,f1385,f1381,f1377,f762,f1865]) ).
fof(f2061,plain,
( ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),sK3)
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_demodulation,[],[f474,f1640]) ).
fof(f2065,plain,
( spl33_80
| ~ spl33_17
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f1709,f1385,f1381,f1377,f766,f1869]) ).
fof(f2076,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0)
| ~ m1_conlat_1(X0,sK3) )
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2061,f509]) ).
fof(f2080,definition,
( spl33_92
<=> m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_92])],[avatar_definition]) ).
fof(f2081,plain,
( m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_92 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2084,definition,
( spl33_93
<=> v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_93])],[avatar_definition]) ).
fof(f2085,plain,
( v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ spl33_93 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f2092,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0) )
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2076,f452]) ).
fof(f2095,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0) )
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2092,f486]) ).
fof(f2103,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2095,f310]) ).
fof(f2106,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2103,f260]) ).
fof(f2108,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2106,f259]) ).
fof(f2113,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| ~ v1_funct_1(k4_conlat_2(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| spl33_4
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2108,f600]) ).
fof(f2129,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| spl33_4
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2113,f1196]) ).
fof(f2132,plain,
( spl33_92
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f1816,f1385,f1381,f1377,f2080]) ).
fof(f2143,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| spl33_4
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2129,f261]) ).
fof(f2149,plain,
( ~ spl33_92
| ~ spl33_93
| spl33_31
| spl33_4
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f2143,f1385,f1381,f1377,f1195,f472,f988,f2084,f2080]) ).
fof(f2183,plain,
( spl33_93
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(avatar_split_clause,[],[f1817,f1385,f1381,f1377,f2084]) ).
fof(f2195,plain,
( v3_conlat_1(sK3)
| ~ l1_conlat_1(sK3)
| ~ spl33_31 ),
inference(resolution,[],[f990,f356]) ).
fof(f2209,plain,
( ~ l1_conlat_1(sK3)
| ~ spl33_31 ),
inference(forward_subsumption_resolution,[],[f2195,f260]) ).
fof(f2210,plain,
( ~ l2_conlat_1(sK3)
| ~ spl33_31 ),
inference(resolution,[],[f2209,f316]) ).
fof(f2211,plain,
( $false
| ~ spl33_31 ),
inference(forward_subsumption_resolution,[],[f2210,f259]) ).
fof(f2212,plain,
~ spl33_31,
inference(avatar_contradiction_clause,[],[f2211]) ).
fof(f2214,plain,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),sK3)
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_demodulation,[],[f478,f1640]) ).
fof(f2219,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0)
| ~ m1_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2214,f511]) ).
fof(f2222,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0)
| ~ m1_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) )
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2219,f260]) ).
fof(f2224,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0)
| ~ m1_conlat_1(X0,sK3) )
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2222,f259]) ).
fof(f2231,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0) )
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2224,f452]) ).
fof(f2234,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0) )
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2231,f486]) ).
fof(f2240,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2234,f310]) ).
fof(f2243,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2240,f260]) ).
fof(f2245,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2243,f259]) ).
fof(f2256,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| ~ v1_funct_1(k4_conlat_2(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| spl33_5
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2245,f600]) ).
fof(f2260,plain,
( ~ v1_funct_1(k4_conlat_2(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| spl33_5
| spl33_31
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2256,f989]) ).
fof(f2262,plain,
( ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| spl33_5
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2260,f1196]) ).
fof(f2264,plain,
( ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| spl33_5
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_93 ),
inference(forward_subsumption_resolution,[],[f2262,f2085]) ).
fof(f2266,plain,
( ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| spl33_5
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(forward_subsumption_resolution,[],[f2264,f2081]) ).
fof(f2268,plain,
( $false
| spl33_5
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(forward_subsumption_resolution,[],[f2266,f261]) ).
fof(f2269,plain,
( spl33_5
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2271,plain,
( v7_conlat_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),sK3)
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_demodulation,[],[f482,f1640]) ).
fof(f2285,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0)
| ~ m1_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2271,f521]) ).
fof(f2288,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0)
| ~ m1_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2285,f260]) ).
fof(f2290,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0)
| ~ m1_conlat_1(X0,sK3) )
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2288,f259]) ).
fof(f2297,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0) )
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2290,f452]) ).
fof(f2300,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),X0) )
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2297,f486]) ).
fof(f2306,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2300,f310]) ).
fof(f2309,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2306,f260]) ).
fof(f2311,plain,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(sK3),k8_conlat_1(sK3),k4_conlat_2(sK3),sK4),k8_conlat_1(sK3))
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2309,f259]) ).
fof(f2314,plain,
( v1_xboole_0(u1_conlat_1(sK3))
| ~ v1_funct_1(k4_conlat_2(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ spl33_6
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2311,f600]) ).
fof(f2318,plain,
( ~ v1_funct_1(k4_conlat_2(sK3))
| ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ spl33_6
| spl33_31
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2314,f989]) ).
fof(f2320,plain,
( ~ v1_funct_2(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ spl33_6
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2318,f1196]) ).
fof(f2322,plain,
( ~ m2_relset_1(k4_conlat_2(sK3),u1_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ spl33_6
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_93 ),
inference(forward_subsumption_resolution,[],[f2320,f2085]) ).
fof(f2324,plain,
( ~ m1_subset_1(sK4,u1_conlat_1(sK3))
| ~ spl33_6
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(forward_subsumption_resolution,[],[f2322,f2081]) ).
fof(f2326,plain,
( $false
| ~ spl33_6
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(forward_subsumption_resolution,[],[f2324,f261]) ).
fof(f2327,plain,
( ~ spl33_6
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2328,plain,
( v7_conlat_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),sK3)
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_demodulation,[],[f470,f1640]) ).
fof(f2332,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0)
| ~ m1_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2328,f521]) ).
fof(f2333,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0)
| ~ m1_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2332,f260]) ).
fof(f2334,plain,
( ! [X0] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0)
| ~ m1_conlat_1(X0,sK3) )
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2333,f259]) ).
fof(f2340,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0) )
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2334,f452]) ).
fof(f2341,plain,
( ! [X0] :
( ~ m1_conlat_1(X0,sK3)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),X0) )
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2340,f486]) ).
fof(f2344,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2341,f310]) ).
fof(f2347,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| ~ l2_conlat_1(sK3)
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2344,f260]) ).
fof(f2349,plain,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(sK3),k8_conlat_1(sK3),k5_conlat_2(sK3),sK5),k8_conlat_1(sK3))
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2347,f259]) ).
fof(f2355,plain,
( v1_xboole_0(u2_conlat_1(sK3))
| ~ v1_funct_1(k5_conlat_2(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ spl33_3
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(resolution,[],[f2349,f600]) ).
fof(f2357,plain,
( ~ v1_funct_1(k5_conlat_2(sK3))
| ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ spl33_3
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2355,f775]) ).
fof(f2358,plain,
( ~ v1_funct_2(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ spl33_3
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(forward_subsumption_resolution,[],[f2357,f771]) ).
fof(f2359,plain,
( ~ m2_relset_1(k5_conlat_2(sK3),u2_conlat_1(sK3),k8_conlat_1(sK3))
| ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ spl33_3
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_80 ),
inference(forward_subsumption_resolution,[],[f2358,f1870]) ).
fof(f2360,plain,
( ~ m1_subset_1(sK5,u2_conlat_1(sK3))
| ~ spl33_3
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_79
| ~ spl33_80 ),
inference(forward_subsumption_resolution,[],[f2359,f1866]) ).
fof(f2361,plain,
( $false
| ~ spl33_3
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_79
| ~ spl33_80 ),
inference(forward_subsumption_resolution,[],[f2360,f262]) ).
fof(f2362,plain,
( ~ spl33_3
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_79
| ~ spl33_80 ),
inference(avatar_contradiction_clause,[],[f2361]) ).
cnf(s1,plain,
( ~ spl33_1
| ~ spl33_2
| spl33_3
| ~ spl33_4
| ~ spl33_5
| spl33_6 ),
inference(sat_conversion,[],[f483]) ).
cnf(s8,plain,
( spl33_1
| spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| spl33_19
| ~ spl33_20 ),
inference(sat_conversion,[],[f782]) ).
cnf(s11,plain,
spl33_16,
inference(sat_conversion,[],[f797]) ).
cnf(s13,plain,
spl33_17,
inference(sat_conversion,[],[f814]) ).
cnf(s14,plain,
spl33_18,
inference(sat_conversion,[],[f826]) ).
cnf(s21,plain,
spl33_34,
inference(sat_conversion,[],[f1205]) ).
cnf(s29,plain,
~ spl33_19,
inference(sat_conversion,[],[f1272]) ).
cnf(s32,plain,
( ~ spl33_48
| ~ spl33_49
| spl33_50 ),
inference(sat_conversion,[],[f1388]) ).
cnf(s33,plain,
spl33_48,
inference(sat_conversion,[],[f1394]) ).
cnf(s34,plain,
spl33_49,
inference(sat_conversion,[],[f1404]) ).
cnf(s57,plain,
( spl33_20
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s62,plain,
( ~ spl33_15
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s66,plain,
( spl33_2
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_79
| ~ spl33_80 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s73,plain,
( ~ spl33_16
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| spl33_79 ),
inference(sat_conversion,[],[f2022]) ).
cnf(s78,plain,
( ~ spl33_17
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| spl33_80 ),
inference(sat_conversion,[],[f2065]) ).
cnf(s85,plain,
( ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| spl33_92 ),
inference(sat_conversion,[],[f2132]) ).
cnf(s89,plain,
( spl33_4
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s94,plain,
( ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| spl33_93 ),
inference(sat_conversion,[],[f2183]) ).
cnf(s99,plain,
~ spl33_31,
inference(sat_conversion,[],[f2212]) ).
cnf(s106,plain,
( spl33_5
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(sat_conversion,[],[f2269]) ).
cnf(s112,plain,
( ~ spl33_6
| spl33_31
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s113,plain,
( ~ spl33_3
| ~ spl33_18
| spl33_19
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_79
| ~ spl33_80 ),
inference(sat_conversion,[],[f2362]) ).
cnf(s117,plain,
( spl33_4
| ~ spl33_34
| ~ spl33_48
| ~ spl33_49
| ~ spl33_50
| ~ spl33_92
| ~ spl33_93 ),
inference(rat,[],[s89,s99]) ).
cnf(s131,plain,
spl33_50,
inference(rat,[],[s32,s34,s33]) ).
cnf(s136,plain,
spl33_93,
inference(rat,[],[s94,s33,s34,s131]) ).
cnf(s137,plain,
spl33_92,
inference(rat,[],[s85,s33,s34,s131]) ).
cnf(s143,plain,
~ spl33_15,
inference(rat,[],[s62,s33,s34,s131]) ).
cnf(s144,plain,
spl33_20,
inference(rat,[],[s57,s33,s34,s131]) ).
cnf(s148,plain,
~ spl33_6,
inference(rat,[],[s112,s136,s137,s131,s34,s33,s99,s21]) ).
cnf(s149,plain,
spl33_5,
inference(rat,[],[s106,s136,s137,s131,s34,s33,s99,s21]) ).
cnf(s153,plain,
spl33_4,
inference(rat,[],[s117,s136,s137,s131,s34,s33,s21]) ).
cnf(s159,plain,
spl33_80,
inference(rat,[],[s78,s131,s33,s34,s13]) ).
cnf(s160,plain,
spl33_79,
inference(rat,[],[s73,s131,s33,s34,s11]) ).
cnf(s163,plain,
~ spl33_3,
inference(rat,[],[s113,s159,s14,s131,s34,s33,s29,s160]) ).
cnf(s164,plain,
spl33_2,
inference(rat,[],[s66,s159,s14,s131,s34,s33,s29,s160]) ).
cnf(s169,plain,
spl33_1,
inference(rat,[],[s8,s144,s29,s14,s13,s11,s143]) ).
cnf(s171,plain,
$false,
inference(rat,[],[s1,s148,s149,s153,s163,s164,s169]) ).
fof(f2363,plain,
$false,
inference(avatar_sat_refutation,[],[s171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT343+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:52:38 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/1.38 % (2443663)Detected formulas, will run a generic FOF schedule.
% 3.15/1.38 % (2443669)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=2667472720:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.15/1.38 % (2443670)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=2466080062:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.15/1.38 % (2443671)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=393625322:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.15/1.38 % (2443674)dis-21_1_sil=8000:lcm=predicate:random_seed=774315717: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)
% 3.15/1.38 % (2443672)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3672877010:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.15/1.38 % (2443668)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=3941694284:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.15/1.38 % (2443673)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=873631867:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.15/1.38 % (2443671)Refutation not found, incomplete strategy
% 3.15/1.38 % (2443671)------------------------------
% 3.15/1.38 % (2443671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.38 % (2443671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.38 % (2443671)CaDiCaL version: 2.1.3
% 3.15/1.38 % (2443671)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.38 % (2443671)Time elapsed: 0.002 s
% 3.15/1.38 % (2443671)Peak memory usage: 87 MB
% 3.15/1.38 % (2443671)Instructions burned: 1 (million)
% 3.15/1.38 % (2443674)Instruction limit reached!
% 3.15/1.38 % (2443674)------------------------------
% 3.15/1.38 % (2443674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.38 % (2443674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.38 % (2443674)CaDiCaL version: 2.1.3
% 3.15/1.38 % (2443674)Termination reason: Instruction limit
% 3.15/1.38 % (2443674)Termination phase: Saturation
% 3.15/1.38 % (2443674)Time elapsed: 0.065 s
% 3.15/1.38 % (2443674)Peak memory usage: 91 MB
% 3.15/1.38 % (2443674)Instructions burned: 131 (million)
% 3.15/1.38 % (2443672)Instruction limit reached!
% 3.15/1.38 % (2443672)------------------------------
% 3.15/1.38 % (2443672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.38 % (2443672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.38 % (2443672)CaDiCaL version: 2.1.3
% 3.15/1.38 % (2443672)Termination reason: Instruction limit
% 3.15/1.38 % (2443672)Termination phase: Saturation
% 3.15/1.38 % (2443672)Time elapsed: 0.066 s
% 3.15/1.38 % (2443672)Peak memory usage: 88 MB
% 3.15/1.38 % (2443672)Instructions burned: 119 (million)
% 3.15/1.38 % (2443673)First to succeed.
% 3.15/1.38 % (2443673)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2443663"
% 3.15/1.38 % (2443682)lrs+10_1_sil=8000:sp=occurrence:random_seed=1711826795:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.15/1.38 % (2443683)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3710093894:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.15/1.38 % (2443683)Refutation not found, incomplete strategy
% 3.15/1.38 % (2443683)------------------------------
% 3.15/1.38 % (2443683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.38 % (2443683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.38 % (2443683)CaDiCaL version: 2.1.3
% 3.15/1.38 % (2443683)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.38 % (2443683)Time elapsed: 0.003 s
% 3.15/1.38 % (2443683)Peak memory usage: 88 MB
% 3.15/1.38 % (2443683)Instructions burned: 2 (million)
% 3.15/1.38 % (2443671)------------------------------
% 3.15/1.38 % (2443671)------------------------------
% 3.15/1.38 % (2443682)Also succeeded, but the first one will report.
% 3.15/1.38 % (2443673)Refutation found. Thanks to Tanya!
% 3.15/1.38 % SZS status Theorem for theBenchmark
% 3.15/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 4.25/1.57 % (2443673)------------------------------
% 4.25/1.57 % (2443673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.25/1.57 % (2443673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.57 % (2443673)CaDiCaL version: 2.1.3
% 4.25/1.57 % (2443673)Termination reason: Refutation
% 4.25/1.57 % (2443673)Time elapsed: 0.088 s
% 4.25/1.57 % (2443673)Peak memory usage: 91 MB
% 4.25/1.57 % (2443673)Instructions burned: 127 (million)
% 4.25/1.57 % (2443673)------------------------------
% 4.25/1.57 % (2443673)------------------------------
% 4.25/1.57 % (2443663)Success in time 0.519 s
% 4.25/1.57 % Vampire exiting
%------------------------------------------------------------------------------