%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 : Fri Sep 25 01:59:21 PM UTC 2026
% Result : Theorem 10.62s 2.40s
% Output : CNFRefutation 10.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 23
% Syntax : Number of formulae : 287 ( 94 unt; 12 def)
% Number of atoms : 1375 ( 186 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1202 ( 481 ~; 499 |; 190 &)
% ( 9 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 11 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 367 ( 0 sgn 347 !; 20 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X0)
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ( ( X2 = X3
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) )
=> k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X0)
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ( ( X2 = X3
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) )
=> k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
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(f10,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_filter_0) ).
fof(f18,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_filter_0) ).
fof(f22,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f29,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f31,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f46,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_filter_0) ).
fof(f55,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f69,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f70,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(f92,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_filter_2(X2,X0)
& ? [X3] :
( m1_filter_2(X3,X1)
& X2 = X3
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k8_filter_0(X0,X2) != k8_filter_0(X1,X3) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f93,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_filter_2(X2,X0)
& ? [X3] :
( m1_filter_2(X3,X1)
& X2 = X3
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k8_filter_0(X0,X2) != k8_filter_0(X1,X3) ) ) ) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f95,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f94]) ).
fof(f105,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f106,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
inference(flattening,[],[f105]) ).
fof(f111,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f112,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f123,plain,
! [X0] :
( ~ l1_lattices(X0)
| ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f124,plain,
! [X0] :
( ~ l2_lattices(X0)
| ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f134,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f135,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(flattening,[],[f134]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(flattening,[],[f152]) ).
fof(f159,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f160,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
inference(flattening,[],[f159]) ).
fof(f176,plain,
( l3_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3)
& l3_lattices(sK4)
& v10_lattices(sK4)
& ~ v3_struct_0(sK4)
& m1_filter_2(sK5,sK3)
& m1_filter_2(sK6,sK4)
& sK5 = sK6
& g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
& k8_filter_0(sK3,sK5) != k8_filter_0(sK4,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f93]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ sP1(X2,X0,X1)
| ( ( k8_filter_0(X0,X1) != X2
| sP0(X1,X0,X2) )
& ( ~ sP0(X1,X0,X2)
| X2 = k8_filter_0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f172]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ~ sP1(X0,X1,X2)
| ( ( k8_filter_0(X1,X2) != X0
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| k8_filter_0(X1,X2) = X0 ) ) ),
inference(rectify,[],[f177]) ).
fof(f207,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0) )
& ( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0) ) ) ),
inference(nnf_transformation,[],[f160]) ).
fof(f208,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,[],[f70]) ).
fof(f209,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f210,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f211,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f212,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f176]) ).
fof(f213,plain,
v10_lattices(sK4),
inference(cnf_transformation,[],[f176]) ).
fof(f214,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f176]) ).
fof(f215,plain,
m1_filter_2(sK5,sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f216,plain,
m1_filter_2(sK6,sK4),
inference(cnf_transformation,[],[f176]) ).
fof(f217,plain,
sK5 = sK6,
inference(cnf_transformation,[],[f176]) ).
fof(f218,plain,
g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)),
inference(cnf_transformation,[],[f176]) ).
fof(f219,plain,
k8_filter_0(sK3,sK5) != k8_filter_0(sK4,sK6),
inference(cnf_transformation,[],[f176]) ).
fof(f220,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f95]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| k8_filter_0(X1,X2) != X0
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sP1(X2,X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f252,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f253,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f254,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f257,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f258,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f265,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f266,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f267,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f268,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f269,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f270,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f294,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f153]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f153]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f153]) ).
fof(f351,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f364,plain,
k8_filter_0(sK4,sK6) != k8_filter_0(sK3,sK6),
inference(definition_unfolding,[],[f219,f217]) ).
fof(f365,plain,
m1_filter_2(sK6,sK3),
inference(definition_unfolding,[],[f215,f217]) ).
fof(f366,plain,
! [X2,X1] :
( ~ sP1(k8_filter_0(X1,X2),X1,X2)
| sP0(X2,X1,k8_filter_0(X1,X2)) ),
inference(equality_resolution,[],[f235]) ).
tcf(c_49,negated_conjecture,
k8_filter_0(sK4,sK6) != k8_filter_0(sK3,sK6),
inference(cnf_transformation,[],[f364]) ).
tcf(c_50,negated_conjecture,
g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)),
inference(cnf_transformation,[],[f218]) ).
tcf(c_51,negated_conjecture,
m1_filter_2(sK6,sK4),
inference(cnf_transformation,[],[f216]) ).
tcf(c_52,negated_conjecture,
m1_filter_2(sK6,sK3),
inference(cnf_transformation,[],[f365]) ).
tcf(c_53,negated_conjecture,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f214]) ).
tcf(c_54,negated_conjecture,
v10_lattices(sK4),
inference(cnf_transformation,[],[f213]) ).
tcf(c_55,negated_conjecture,
l3_lattices(sK4),
inference(cnf_transformation,[],[f212]) ).
tcf(c_56,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f211]) ).
tcf(c_57,negated_conjecture,
v10_lattices(sK3),
inference(cnf_transformation,[],[f210]) ).
tcf(c_58,negated_conjecture,
l3_lattices(sK3),
inference(cnf_transformation,[],[f209]) ).
tcf(c_59,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,k8_filter_0(X0,X1))
| ~ sP1(k8_filter_0(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| sP1(X2,X1,X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_92,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_93,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_100,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_101,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_102,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_103,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_104,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_105,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_312,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_92]) ).
tcf(c_314,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_93]) ).
tcf(c_370,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
tcf(c_372,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
tcf(c_374,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
tcf(c_380,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
tcf(c_382,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_104]) ).
tcf(c_384,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_105]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_312,c_374]) ).
tcf(c_2281,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2280]) ).
tcf(c_2289,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_312,c_372]) ).
tcf(c_2290,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2289]) ).
tcf(c_2298,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_312,c_370]) ).
tcf(c_2299,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2298]) ).
tcf(c_2414,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_314,c_384]) ).
tcf(c_2415,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2414]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_314,c_382]) ).
tcf(c_2424,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2423]) ).
tcf(c_2432,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_314,c_380]) ).
tcf(c_2433,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2432]) ).
tcf(c_3112,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X1 != sK6 )
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_187]) ).
tcf(c_3113,plain,
( v3_struct_0(sK4)
| m1_filter_0(sK6,sK4)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4) ),
inference(unflattening,[status(thm)],[c_3112]) ).
tcf(c_3114,plain,
m1_filter_0(sK6,sK4),
inference(global_subsumption_just,[status(thm)],[c_3113,c_55,c_54,c_53,c_3113]) ).
tcf(c_3133,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK3 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_187]) ).
tcf(c_3134,plain,
( v3_struct_0(sK3)
| m1_filter_0(sK6,sK3)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(unflattening,[status(thm)],[c_3133]) ).
tcf(c_3135,plain,
m1_filter_0(sK6,sK3),
inference(global_subsumption_just,[status(thm)],[c_3134,c_58,c_57,c_56,c_3134]) ).
tcf(c_3634,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(k8_filter_0(X0,X1))
| ( X1 != sK6 )
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_87,c_3114]) ).
tcf(c_3635,plain,
( v3_struct_0(sK4)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4)
| ~ v3_struct_0(k8_filter_0(sK4,sK6)) ),
inference(unflattening,[status(thm)],[c_3634]) ).
tcf(c_3636,plain,
~ v3_struct_0(k8_filter_0(sK4,sK6)),
inference(global_subsumption_just,[status(thm)],[c_3635,c_55,c_54,c_53,c_3635]) ).
tcf(c_3641,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(k8_filter_0(X0,X1))
| ( X1 != sK6 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_87,c_3135]) ).
tcf(c_3642,plain,
( v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ v3_struct_0(k8_filter_0(sK3,sK6)) ),
inference(unflattening,[status(thm)],[c_3641]) ).
tcf(c_3643,plain,
~ v3_struct_0(k8_filter_0(sK3,sK6)),
inference(global_subsumption_just,[status(thm)],[c_3642,c_58,c_57,c_56,c_3642]) ).
tcf(c_3762,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK4 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_3114]) ).
tcf(c_3763,plain,
( v3_struct_0(sK4)
| sP2(sK6,sK4)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4) ),
inference(unflattening,[status(thm)],[c_3762]) ).
tcf(c_3764,plain,
sP2(sK6,sK4),
inference(global_subsumption_just,[status(thm)],[c_3763,c_55,c_54,c_53,c_3763]) ).
tcf(c_3773,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK4 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_3114]) ).
tcf(c_3774,plain,
( v3_struct_0(sK4)
| l3_lattices(k8_filter_0(sK4,sK6))
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4) ),
inference(unflattening,[status(thm)],[c_3773]) ).
tcf(c_3775,plain,
l3_lattices(k8_filter_0(sK4,sK6)),
inference(global_subsumption_just,[status(thm)],[c_3774,c_55,c_54,c_53,c_3774]) ).
tcf(c_3780,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK4 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_3114]) ).
tcf(c_3781,plain,
( v3_struct_0(sK4)
| v10_lattices(k8_filter_0(sK4,sK6))
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4) ),
inference(unflattening,[status(thm)],[c_3780]) ).
tcf(c_3782,plain,
v10_lattices(k8_filter_0(sK4,sK6)),
inference(global_subsumption_just,[status(thm)],[c_3781,c_55,c_54,c_53,c_3781]) ).
tcf(c_3787,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| sP1(X2,X1,X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ( X1 != sK4 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_3114]) ).
tcf(c_3788,plain,
! [X0: $i] :
( v3_struct_0(sK4)
| v3_struct_0(X0)
| sP1(X0,sK4,sK6)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3787]) ).
tcf(c_3790,plain,
! [X0: $i] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP1(X0,sK4,sK6)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3788,c_55,c_54,c_53,c_3788]) ).
tcf(c_3791,plain,
! [X0: $i] :
( v3_struct_0(X0)
| sP1(X0,sK4,sK6)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_3790]) ).
tcf(c_3816,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK3 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_3135]) ).
tcf(c_3817,plain,
( v3_struct_0(sK3)
| l3_lattices(k8_filter_0(sK3,sK6))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(unflattening,[status(thm)],[c_3816]) ).
tcf(c_3818,plain,
l3_lattices(k8_filter_0(sK3,sK6)),
inference(global_subsumption_just,[status(thm)],[c_3817,c_58,c_57,c_56,c_3817]) ).
tcf(c_3823,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK3 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_3135]) ).
tcf(c_3824,plain,
( v3_struct_0(sK3)
| v10_lattices(k8_filter_0(sK3,sK6))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(unflattening,[status(thm)],[c_3823]) ).
tcf(c_3825,plain,
v10_lattices(k8_filter_0(sK3,sK6)),
inference(global_subsumption_just,[status(thm)],[c_3824,c_58,c_57,c_56,c_3824]) ).
tcf(c_3830,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| sP1(X2,X1,X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ( X1 != sK3 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_3135]) ).
tcf(c_3831,plain,
! [X0: $i] :
( v3_struct_0(sK3)
| v3_struct_0(X0)
| sP1(X0,sK3,sK6)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3830]) ).
tcf(c_3833,plain,
! [X0: $i] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP1(X0,sK3,sK6)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3831,c_58,c_57,c_56,c_3831]) ).
tcf(c_3834,plain,
! [X0: $i] :
( v3_struct_0(X0)
| sP1(X0,sK3,sK6)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_3833]) ).
tcf(c_4433,definition,
iPr_def_10 = k8_filter_0(sK3,sK6),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4434,definition,
iPr_def_11 = k8_filter_0(sK4,sK6),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_4437,definition,
iPr_def_14 = u1_struct_0(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_4439,definition,
iPr_def_16 = u2_lattices(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_4440,definition,
iPr_def_17 = u1_lattices(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_4441,definition,
iPr_def_18 = g3_lattices(iPr_def_14,iPr_def_16,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_4442,definition,
iPr_def_19 = u2_lattices(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_4443,definition,
iPr_def_20 = u1_lattices(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_4444,definition,
iPr_def_21 = g3_lattices(iPr_def_12,iPr_def_19,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_4445,plain,
! [X0: $i] :
( v3_struct_0(X0)
| sP1(X0,sK3,sK6)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(demodulation,[status(thm)],[c_3834]) ).
tcf(c_4446,plain,
v10_lattices(iPr_def_10),
inference(demodulation,[status(thm)],[c_3825,c_4433]) ).
tcf(c_4447,plain,
l3_lattices(iPr_def_10),
inference(demodulation,[status(thm)],[c_3818]) ).
tcf(c_4449,plain,
! [X0: $i] :
( v3_struct_0(X0)
| sP1(X0,sK4,sK6)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(demodulation,[status(thm)],[c_3791]) ).
tcf(c_4450,plain,
v10_lattices(iPr_def_11),
inference(demodulation,[status(thm)],[c_3782,c_4434]) ).
tcf(c_4451,plain,
l3_lattices(iPr_def_11),
inference(demodulation,[status(thm)],[c_3775]) ).
tcf(c_4452,plain,
sP2(sK6,sK4),
inference(demodulation,[status(thm)],[c_3764]) ).
tcf(c_4453,plain,
~ v3_struct_0(iPr_def_10),
inference(demodulation,[status(thm)],[c_3643]) ).
tcf(c_4454,plain,
~ v3_struct_0(iPr_def_11),
inference(demodulation,[status(thm)],[c_3636]) ).
tcf(c_4461,negated_conjecture,
l3_lattices(sK4),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_4464,negated_conjecture,
iPr_def_18 = iPr_def_21,
inference(demodulation,[status(thm)],[c_50,c_4443,c_4442,c_4444,c_4440,c_4439,c_4441]) ).
tcf(c_4465,negated_conjecture,
iPr_def_11 != iPr_def_10,
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_7366,plain,
( v1_funct_1(iPr_def_17)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_4440,c_2299]) ).
tcf(c_7367,plain,
v1_funct_1(iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_7366,c_4461]) ).
tcf(c_7374,plain,
( v1_funct_1(iPr_def_16)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_4439,c_2433]) ).
tcf(c_7375,plain,
v1_funct_1(iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_7374,c_4461]) ).
tcf(c_7397,plain,
g3_lattices(iPr_def_12,iPr_def_19,iPr_def_20) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_4444,c_4464]) ).
tcf(c_8088,plain,
( v3_struct_0(k8_filter_0(sK4,sK6))
| sP0(sK6,sK4,k8_filter_0(sK4,sK6))
| ~ l3_lattices(k8_filter_0(sK4,sK6))
| ~ v10_lattices(k8_filter_0(sK4,sK6)) ),
inference(superposition,[status(thm)],[c_4449,c_71]) ).
tcf(c_8089,plain,
( v3_struct_0(k8_filter_0(sK3,sK6))
| sP0(sK6,sK3,k8_filter_0(sK3,sK6))
| ~ l3_lattices(k8_filter_0(sK3,sK6))
| ~ v10_lattices(k8_filter_0(sK3,sK6)) ),
inference(superposition,[status(thm)],[c_4445,c_71]) ).
tcf(c_8098,plain,
( v3_struct_0(iPr_def_10)
| sP0(sK6,sK3,iPr_def_10)
| ~ l3_lattices(iPr_def_10)
| ~ v10_lattices(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_8089,c_4433]) ).
tcf(c_8099,plain,
sP0(sK6,sK3,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_8098,c_4453,c_4447,c_4446]) ).
tcf(c_8100,plain,
( v3_struct_0(iPr_def_11)
| sP0(sK6,sK4,iPr_def_11)
| ~ l3_lattices(iPr_def_11)
| ~ v10_lattices(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_8088,c_4434]) ).
tcf(c_8101,plain,
sP0(sK6,sK4,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_8100,c_4454,c_4451,c_4450]) ).
tcf(c_8656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = iPr_def_16 )
| ~ v1_funct_1(iPr_def_17)
| ~ v1_funct_1(iPr_def_16)
| ~ m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( g3_lattices(X0,X1,X2) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4441,c_150]) ).
tcf(c_8688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = iPr_def_16 )
| ~ m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( g3_lattices(X0,X1,X2) != iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8656,c_7367,c_7375]) ).
tcf(c_8897,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_7397,c_8688]) ).
tcf(c_9134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = iPr_def_17 )
| ~ v1_funct_1(iPr_def_17)
| ~ v1_funct_1(iPr_def_16)
| ~ m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( g3_lattices(X0,X1,X2) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4441,c_151]) ).
tcf(c_9167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = iPr_def_17 )
| ~ m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( g3_lattices(X0,X1,X2) != iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9134,c_7367,c_7375]) ).
tcf(c_9411,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_7397,c_9167]) ).
tcf(c_13682,plain,
( m2_relset_1(u1_lattices(sK4),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_4437,c_2281]) ).
tcf(c_13687,plain,
( m2_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_13682,c_4440]) ).
tcf(c_13688,plain,
m2_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_13687,c_4461]) ).
tcf(c_13717,plain,
m1_relset_1(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14),
inference(superposition,[status(thm)],[c_13688,c_189]) ).
tcf(c_13725,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9411,c_13717]) ).
tcf(c_13731,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8897,c_13717]) ).
tcf(c_14033,plain,
( v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_4437,c_2290]) ).
tcf(c_14040,plain,
( v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14033,c_4440]) ).
tcf(c_14041,plain,
v1_funct_2(iPr_def_17,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_14040,c_4461]) ).
tcf(c_14070,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_13731,c_14041]) ).
tcf(c_14071,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_13725,c_14041]) ).
tcf(c_14200,plain,
( m2_relset_1(u2_lattices(sK4),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_4437,c_2415]) ).
tcf(c_14205,plain,
( m2_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14200,c_4439]) ).
tcf(c_14206,plain,
m2_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_14205,c_4461]) ).
tcf(c_14234,plain,
m1_relset_1(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14),
inference(superposition,[status(thm)],[c_14206,c_189]) ).
tcf(c_14240,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_14070,c_8897,c_13717,c_14041,c_14234]) ).
tcf(c_14246,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_14071,c_9411,c_13717,c_14041,c_14234]) ).
tcf(c_14418,plain,
( v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_4437,c_2424]) ).
tcf(c_14425,plain,
( v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14418,c_4439]) ).
tcf(c_14426,plain,
v1_funct_2(iPr_def_16,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_14425,c_4461]) ).
tcf(c_14455,plain,
iPr_def_17 = iPr_def_20,
inference(backward_subsumption_resolution,[status(thm)],[c_14246,c_14426]) ).
tcf(c_14456,plain,
iPr_def_16 = iPr_def_19,
inference(backward_subsumption_resolution,[status(thm)],[c_14240,c_14426]) ).
fof(f171,definition,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f172,definition,
! [X2,X0,X1] :
( ~ sP1(X2,X0,X1)
| ( X2 = k8_filter_0(X0,X1)
<=> sP0(X1,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f173,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sP1(X2,X0,X1) ) ) ),
inference(definition_folding,[],[f106,f172,f171]) ).
fof(f174,definition,
! [X1,X0] :
( ~ sP2(X1,X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f175,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X1,X0) ),
inference(definition_folding,[],[f135,f174]) ).
fof(f179,plain,
! [X1,X0,X2] :
( ( ~ sP0(X1,X0,X2)
| ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X1,X3,X4) != X2
| k1_realset1(u1_lattices(X0),X1) != X4
| k1_realset1(u2_lattices(X0),X1) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3) )
| sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f171]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ? [X5] :
( ? [X6] :
( g3_lattices(X0,X5,X6) = X2
& k1_realset1(u1_lattices(X1),X0) = X6
& k1_realset1(u2_lattices(X1),X0) = X5
& m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X6) )
& m2_relset_1(X5,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X5,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X5) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f179]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( g3_lattices(X0,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X2
& k1_realset1(u1_lattices(X1),X0) = sK8(X0,X1,X2)
& k1_realset1(u2_lattices(X1),X0) = sK7(X0,X1,X2)
& m2_relset_1(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK8(X0,X1,X2))
& m2_relset_1(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK7(X0,X1,X2)) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X5,sK7(X0,X1,X2)),skolemize(X6,sK8(X0,X1,X2))],[f180]) ).
fof(f192,plain,
! [X1,X0] :
( ~ sP2(X1,X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(nnf_transformation,[],[f174]) ).
fof(f193,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ( v10_lattices(k8_filter_0(X1,X0))
& v9_lattices(k8_filter_0(X1,X0))
& v8_lattices(k8_filter_0(X1,X0))
& v7_lattices(k8_filter_0(X1,X0))
& v6_lattices(k8_filter_0(X1,X0))
& v5_lattices(k8_filter_0(X1,X0))
& v4_lattices(k8_filter_0(X1,X0))
& v3_lattices(k8_filter_0(X1,X0))
& ~ v3_struct_0(k8_filter_0(X1,X0)) ) ),
inference(rectify,[],[f192]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| g3_lattices(X0,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f181]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK8(X0,X1,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK7(X0,X1,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| m2_relset_1(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_2(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_1(sK8(X0,X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| m2_relset_1(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_2(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_1(sK7(X0,X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f292,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v3_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK7(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK7(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK8(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK8(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(X0,X1,X2) = k1_realset1(u2_lattices(X1),X0) )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(X0,X1,X2) = k1_realset1(u1_lattices(X1),X0) )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( g3_lattices(X0,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_7471,plain,
( v3_lattices(iPr_def_11)
| ~ sP2(sK6,sK4) ),
inference(superposition,[status(thm)],[c_4434,c_121]) ).
tcf(c_7474,plain,
v3_lattices(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_7471,c_4452]) ).
tcf(c_8230,plain,
k1_realset1(u2_lattices(sK3),sK6) = sK7(sK6,sK3,iPr_def_10),
inference(superposition,[status(thm)],[c_8099,c_79]) ).
tcf(c_8231,plain,
k1_realset1(u2_lattices(sK4),sK6) = sK7(sK6,sK4,iPr_def_11),
inference(superposition,[status(thm)],[c_8101,c_79]) ).
tcf(c_8232,plain,
sK7(sK6,sK4,iPr_def_11) = k1_realset1(iPr_def_16,sK6),
inference(light_normalisation,[status(thm)],[c_8231,c_4439]) ).
tcf(c_8233,plain,
sK7(sK6,sK3,iPr_def_10) = k1_realset1(iPr_def_19,sK6),
inference(light_normalisation,[status(thm)],[c_8230,c_4442]) ).
tcf(c_8238,plain,
k1_realset1(u1_lattices(sK3),sK6) = sK8(sK6,sK3,iPr_def_10),
inference(superposition,[status(thm)],[c_8099,c_80]) ).
tcf(c_8239,plain,
k1_realset1(u1_lattices(sK4),sK6) = sK8(sK6,sK4,iPr_def_11),
inference(superposition,[status(thm)],[c_8101,c_80]) ).
tcf(c_8240,plain,
sK8(sK6,sK4,iPr_def_11) = k1_realset1(iPr_def_17,sK6),
inference(light_normalisation,[status(thm)],[c_8239,c_4440]) ).
tcf(c_8241,plain,
sK8(sK6,sK3,iPr_def_10) = k1_realset1(iPr_def_20,sK6),
inference(light_normalisation,[status(thm)],[c_8238,c_4443]) ).
tcf(c_8253,plain,
( m2_relset_1(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ sP0(sK6,sK4,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8232,c_75]) ).
tcf(c_8254,plain,
( v1_funct_2(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ sP0(sK6,sK4,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8232,c_74]) ).
tcf(c_8255,plain,
( v1_funct_1(k1_realset1(iPr_def_16,sK6))
| ~ sP0(sK6,sK4,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8232,c_73]) ).
tcf(c_8256,plain,
v1_funct_1(k1_realset1(iPr_def_16,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_8255,c_8101]) ).
tcf(c_8257,plain,
v1_funct_2(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_8254,c_8101]) ).
tcf(c_8258,plain,
m2_relset_1(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_8253,c_8101]) ).
tcf(c_8259,plain,
m1_relset_1(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6),
inference(superposition,[status(thm)],[c_8258,c_189]) ).
tcf(c_8267,plain,
( m2_relset_1(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ sP0(sK6,sK4,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8240,c_78]) ).
tcf(c_8268,plain,
( v1_funct_2(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ sP0(sK6,sK4,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8240,c_77]) ).
tcf(c_8269,plain,
( v1_funct_1(k1_realset1(iPr_def_17,sK6))
| ~ sP0(sK6,sK4,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8240,c_76]) ).
tcf(c_8270,plain,
v1_funct_1(k1_realset1(iPr_def_17,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_8269,c_8101]) ).
tcf(c_8271,plain,
v1_funct_2(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_8268,c_8101]) ).
tcf(c_8272,plain,
m2_relset_1(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_8267,c_8101]) ).
tcf(c_8283,plain,
( ( g3_lattices(u1_struct_0(iPr_def_11),u2_lattices(iPr_def_11),u1_lattices(iPr_def_11)) = iPr_def_11 )
| ~ l3_lattices(iPr_def_11) ),
inference(superposition,[status(thm)],[c_7474,c_59]) ).
tcf(c_8286,plain,
g3_lattices(u1_struct_0(iPr_def_11),u2_lattices(iPr_def_11),u1_lattices(iPr_def_11)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_8283,c_4451]) ).
tcf(c_8319,plain,
g3_lattices(sK6,sK7(sK6,sK3,iPr_def_10),sK8(sK6,sK3,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_8099,c_81]) ).
tcf(c_8320,plain,
g3_lattices(sK6,sK7(sK6,sK4,iPr_def_11),sK8(sK6,sK4,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_8101,c_81]) ).
tcf(c_8321,plain,
g3_lattices(sK6,k1_realset1(iPr_def_16,sK6),k1_realset1(iPr_def_17,sK6)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_8320,c_8232,c_8240]) ).
tcf(c_8403,plain,
m1_relset_1(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6),
inference(superposition,[status(thm)],[c_8272,c_189]) ).
tcf(c_10092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_realset1(iPr_def_17,sK6) = X2 )
| ~ v1_funct_1(k1_realset1(iPr_def_17,sK6))
| ~ v1_funct_1(k1_realset1(iPr_def_16,sK6))
| ~ m1_relset_1(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_relset_1(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ( g3_lattices(X0,X1,X2) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8321,c_151]) ).
tcf(c_10099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_realset1(iPr_def_16,sK6) = X1 )
| ~ v1_funct_1(k1_realset1(iPr_def_17,sK6))
| ~ v1_funct_1(k1_realset1(iPr_def_16,sK6))
| ~ m1_relset_1(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_relset_1(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ( g3_lattices(X0,X1,X2) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8321,c_150]) ).
tcf(c_10100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sK6 )
| ~ v1_funct_1(k1_realset1(iPr_def_17,sK6))
| ~ v1_funct_1(k1_realset1(iPr_def_16,sK6))
| ~ m1_relset_1(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ m1_relset_1(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(k1_realset1(iPr_def_17,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ~ v1_funct_2(k1_realset1(iPr_def_16,sK6),k2_zfmisc_1(sK6,sK6),sK6)
| ( g3_lattices(X0,X1,X2) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8321,c_149]) ).
tcf(c_10174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sK6 )
| ( g3_lattices(X0,X1,X2) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10100,c_8270,c_8256,c_8403,c_8259,c_8271,c_8257]) ).
tcf(c_10177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_realset1(iPr_def_16,sK6) = X1 )
| ( g3_lattices(X0,X1,X2) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10099,c_8270,c_8256,c_8403,c_8259,c_8271,c_8257]) ).
tcf(c_10180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_realset1(iPr_def_17,sK6) = X2 )
| ( g3_lattices(X0,X1,X2) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10092,c_8270,c_8256,c_8403,c_8259,c_8271,c_8257]) ).
tcf(c_11012,plain,
u1_struct_0(iPr_def_11) = sK6,
inference(superposition,[status(thm)],[c_8286,c_10174]) ).
tcf(c_11028,plain,
g3_lattices(sK6,u2_lattices(iPr_def_11),u1_lattices(iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_8286,c_11012]) ).
tcf(c_11644,plain,
k1_realset1(iPr_def_17,sK6) = u1_lattices(iPr_def_11),
inference(superposition,[status(thm)],[c_11028,c_10180]) ).
tcf(c_11645,plain,
k1_realset1(iPr_def_16,sK6) = u2_lattices(iPr_def_11),
inference(superposition,[status(thm)],[c_11028,c_10177]) ).
tcf(c_14484,plain,
sK8(sK6,sK3,iPr_def_10) = k1_realset1(iPr_def_17,sK6),
inference(demodulation,[status(thm)],[c_8241,c_14455]) ).
tcf(c_14488,plain,
sK8(sK6,sK3,iPr_def_10) = u1_lattices(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14484,c_11644]) ).
tcf(c_14538,plain,
sK7(sK6,sK3,iPr_def_10) = k1_realset1(iPr_def_16,sK6),
inference(demodulation,[status(thm)],[c_8233,c_14456]) ).
tcf(c_14541,plain,
sK7(sK6,sK3,iPr_def_10) = u2_lattices(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14538,c_11645]) ).
tcf(c_17439,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_14541,c_14488,c_11028,c_8319,c_4465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.42 % Computer : n010.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Wed Sep 23 21:09:13 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.48 Running first-order theorem proving
% 0.14/0.48 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.50
% 0.24/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.50
% 0.24/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 10.62/2.40 % SZS status Started for theBenchmark.p
% 10.62/2.40 % SZS status Theorem for theBenchmark.p
% 10.62/2.40
% 10.62/2.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.62/2.40
% 10.62/2.40 % ------ iProver source info
% 10.62/2.40
% 10.62/2.40 % git: date: 2026-07-19 20:42:38 +0200
% 10.62/2.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.62/2.40 % git: non_committed_changes: false
% 10.62/2.40
% 10.62/2.40 % ------ Parsing...
% 10.62/2.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.62/2.40
% 10.62/2.40 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e %
% 10.62/2.40
% 10.62/2.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.62/2.40
% 10.62/2.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.62/2.40 % ------ Proving...
% 10.62/2.40 % ------ Problem Properties
% 10.62/2.40
% 10.62/2.40 %
% 10.62/2.40 % clauses 168
% 10.62/2.40 % conjectures 8
% 10.62/2.40 % EPR 59
% 10.62/2.40 % Horn 135
% 10.62/2.40 % unary 72
% 10.62/2.40 % binary 46
% 10.62/2.40 % lits 379
% 10.62/2.40 % lits eq 28
% 10.62/2.40 % fd_pure 0
% 10.62/2.40 % fd_pseudo 0
% 10.62/2.40 % fd_cond 1
% 10.62/2.40 % fd_pseudo_cond 5
% 10.62/2.40 % AC symbols 0
% 10.62/2.40
% 10.62/2.40 % ------ Schedule dynamic 5 is on
% 10.62/2.40
% 10.62/2.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.62/2.40
% 10.62/2.40
% 10.62/2.40 % ------
% 10.62/2.40 % Current options:
% 10.62/2.40 % ------
% 10.62/2.40
% 10.62/2.40
% 10.62/2.40 %
% 10.62/2.40
% 10.62/2.40 % ------ Proving...
% 10.62/2.40 %
% 10.62/2.40
% 10.62/2.40 % SZS status Theorem for theBenchmark.p
% 10.62/2.40
% 10.62/2.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.62/2.41
% 10.62/2.41
%------------------------------------------------------------------------------