TSTP Solution File: LAT289+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT289+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 13:49:46 EST 2010
% Result : Theorem 21.15s
% Output : CNFRefutation 21.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 25
% Syntax : Number of formulae : 243 ( 26 unt; 0 def)
% Number of atoms : 1282 ( 83 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 1628 ( 589 ~; 782 |; 207 &)
% ( 10 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 5 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 276 ( 16 sgn 166 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v17_lattices(X2)
& ~ v3_realset2(X2)
& l3_lattices(X2) )
=> ( r2_hidden(X1,a_1_1_lopclset(X2))
<=> ? [X3] :
( m1_filter_0(X3,X2)
& X1 = X3
& v1_filter_0(X3,X2) ) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',fraenkel_a_1_1_lopclset) ).
fof(7,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',dt_k9_lopclset) ).
fof(15,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',t5_subset) ).
fof(17,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',existence_m1_subset_1) ).
fof(18,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',rc4_finset_1) ).
fof(20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',redefinition_k9_lopclset) ).
fof(28,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',t21_lopclset) ).
fof(33,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',t4_subset) ).
fof(40,axiom,
! [X1] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
& v1_finsub_1(k1_zfmisc_1(X1))
& v3_finsub_1(k1_zfmisc_1(X1))
& v4_finsub_1(k1_zfmisc_1(X1)) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',fc1_finsub_1) ).
fof(54,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k7_lopclset(X1) = a_1_1_lopclset(X1) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',d5_lopclset) ).
fof(56,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ~ v1_xboole_0(k7_lopclset(X1)) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',fc2_lopclset) ).
fof(59,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',t7_boole) ).
fof(60,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',fc6_membered) ).
fof(61,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',dt_m1_filter_0) ).
fof(62,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',t27_lopclset) ).
fof(78,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',t2_tarski) ).
fof(79,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_relat_1(k8_lopclset(X1))
& v1_funct_1(k8_lopclset(X1)) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',dt_k8_lopclset) ).
fof(81,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',redefinition_m2_relset_1) ).
fof(83,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',t2_subset) ).
fof(84,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',redefinition_k8_funct_2) ).
fof(87,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> m1_subset_1(k7_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
file('/tmp/tmpD-8Tbn/sel_LAT289+1.p_1',dt_k7_lopclset) ).
fof(88,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[62]) ).
fof(89,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v17_lattices(X2)
& ~ v3_realset2(X2)
& l3_lattices(X2) )
=> ( r2_hidden(X1,a_1_1_lopclset(X2))
<=> ? [X3] :
( m1_filter_0(X3,X2)
& X1 = X3
& v1_filter_0(X3,X2) ) ) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(90,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(97,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(98,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(102,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(106,plain,
! [X1] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
& v1_finsub_1(k1_zfmisc_1(X1))
& v3_finsub_1(k1_zfmisc_1(X1))
& v4_finsub_1(k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(109,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k7_lopclset(X1) = a_1_1_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[54,theory(equality)]) ).
fof(110,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ~ v1_xboole_0(k7_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(111,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[61,theory(equality)]) ).
fof(112,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[88,theory(equality)]) ).
fof(118,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_relat_1(k8_lopclset(X1))
& v1_funct_1(k8_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[79,theory(equality)]) ).
fof(119,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[84,theory(equality)]) ).
fof(120,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> m1_subset_1(k7_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
inference(fof_simplification,[status(thm)],[87,theory(equality)]) ).
fof(121,plain,
! [X1,X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| ( ( ~ r2_hidden(X1,a_1_1_lopclset(X2))
| ? [X3] :
( m1_filter_0(X3,X2)
& X1 = X3
& v1_filter_0(X3,X2) ) )
& ( ! [X3] :
( ~ m1_filter_0(X3,X2)
| X1 != X3
| ~ v1_filter_0(X3,X2) )
| r2_hidden(X1,a_1_1_lopclset(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(122,plain,
! [X4,X5] :
( v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v17_lattices(X5)
| v3_realset2(X5)
| ~ l3_lattices(X5)
| ( ( ~ r2_hidden(X4,a_1_1_lopclset(X5))
| ? [X6] :
( m1_filter_0(X6,X5)
& X4 = X6
& v1_filter_0(X6,X5) ) )
& ( ! [X7] :
( ~ m1_filter_0(X7,X5)
| X4 != X7
| ~ v1_filter_0(X7,X5) )
| r2_hidden(X4,a_1_1_lopclset(X5)) ) ) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(123,plain,
! [X4,X5] :
( v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v17_lattices(X5)
| v3_realset2(X5)
| ~ l3_lattices(X5)
| ( ( ~ r2_hidden(X4,a_1_1_lopclset(X5))
| ( m1_filter_0(esk1_2(X4,X5),X5)
& X4 = esk1_2(X4,X5)
& v1_filter_0(esk1_2(X4,X5),X5) ) )
& ( ! [X7] :
( ~ m1_filter_0(X7,X5)
| X4 != X7
| ~ v1_filter_0(X7,X5) )
| r2_hidden(X4,a_1_1_lopclset(X5)) ) ) ),
inference(skolemize,[status(esa)],[122]) ).
fof(124,plain,
! [X4,X5,X7] :
( ( ( ~ m1_filter_0(X7,X5)
| X4 != X7
| ~ v1_filter_0(X7,X5)
| r2_hidden(X4,a_1_1_lopclset(X5)) )
& ( ~ r2_hidden(X4,a_1_1_lopclset(X5))
| ( m1_filter_0(esk1_2(X4,X5),X5)
& X4 = esk1_2(X4,X5)
& v1_filter_0(esk1_2(X4,X5),X5) ) ) )
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v17_lattices(X5)
| v3_realset2(X5)
| ~ l3_lattices(X5) ),
inference(shift_quantors,[status(thm)],[123]) ).
fof(125,plain,
! [X4,X5,X7] :
( ( ~ m1_filter_0(X7,X5)
| X4 != X7
| ~ v1_filter_0(X7,X5)
| r2_hidden(X4,a_1_1_lopclset(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v17_lattices(X5)
| v3_realset2(X5)
| ~ l3_lattices(X5) )
& ( m1_filter_0(esk1_2(X4,X5),X5)
| ~ r2_hidden(X4,a_1_1_lopclset(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v17_lattices(X5)
| v3_realset2(X5)
| ~ l3_lattices(X5) )
& ( X4 = esk1_2(X4,X5)
| ~ r2_hidden(X4,a_1_1_lopclset(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v17_lattices(X5)
| v3_realset2(X5)
| ~ l3_lattices(X5) )
& ( v1_filter_0(esk1_2(X4,X5),X5)
| ~ r2_hidden(X4,a_1_1_lopclset(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v17_lattices(X5)
| v3_realset2(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[124]) ).
cnf(127,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| X2 = esk1_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X2,a_1_1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(128,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_filter_0(esk1_2(X2,X1),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X2,a_1_1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(151,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
inference(fof_nnf,[status(thm)],[90]) ).
fof(152,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| ( v1_funct_1(k9_lopclset(X2))
& v1_funct_2(k9_lopclset(X2),u1_struct_0(X2),k1_zfmisc_1(k7_lopclset(X2)))
& m2_relset_1(k9_lopclset(X2),u1_struct_0(X2),k1_zfmisc_1(k7_lopclset(X2))) ) ),
inference(variable_rename,[status(thm)],[151]) ).
fof(153,plain,
! [X2] :
( ( v1_funct_1(k9_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v1_funct_2(k9_lopclset(X2),u1_struct_0(X2),k1_zfmisc_1(k7_lopclset(X2)))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( m2_relset_1(k9_lopclset(X2),u1_struct_0(X2),k1_zfmisc_1(k7_lopclset(X2)))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[152]) ).
cnf(154,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(155,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[153]) ).
fof(199,plain,
! [X1,X2,X3] :
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(200,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[199]) ).
cnf(201,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[200]) ).
fof(206,plain,
! [X3] :
? [X4] : m1_subset_1(X4,X3),
inference(variable_rename,[status(thm)],[17]) ).
fof(207,plain,
! [X3] : m1_subset_1(esk7_1(X3),X3),
inference(skolemize,[status(esa)],[206]) ).
cnf(208,plain,
m1_subset_1(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[207]) ).
fof(209,plain,
! [X1] :
( v1_xboole_0(X1)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
inference(fof_nnf,[status(thm)],[97]) ).
fof(210,plain,
! [X3] :
( v1_xboole_0(X3)
| ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X3))
& ~ v1_xboole_0(X4)
& v1_finset_1(X4) ) ),
inference(variable_rename,[status(thm)],[209]) ).
fof(211,plain,
! [X3] :
( v1_xboole_0(X3)
| ( m1_subset_1(esk8_1(X3),k1_zfmisc_1(X3))
& ~ v1_xboole_0(esk8_1(X3))
& v1_finset_1(esk8_1(X3)) ) ),
inference(skolemize,[status(esa)],[210]) ).
fof(212,plain,
! [X3] :
( ( m1_subset_1(esk8_1(X3),k1_zfmisc_1(X3))
| v1_xboole_0(X3) )
& ( ~ v1_xboole_0(esk8_1(X3))
| v1_xboole_0(X3) )
& ( v1_finset_1(esk8_1(X3))
| v1_xboole_0(X3) ) ),
inference(distribute,[status(thm)],[211]) ).
cnf(214,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(215,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk8_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[212]) ).
fof(217,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| k9_lopclset(X1) = k8_lopclset(X1) ),
inference(fof_nnf,[status(thm)],[98]) ).
fof(218,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| k9_lopclset(X2) = k8_lopclset(X2) ),
inference(variable_rename,[status(thm)],[217]) ).
cnf(219,plain,
( k9_lopclset(X1) = k8_lopclset(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[218]) ).
fof(254,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_filter_0(X3,X1)
| ( ( ~ r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
| ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) )
& ( ~ v1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3)
| r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2)) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[102]) ).
fof(255,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v17_lattices(X4)
| v3_realset2(X4)
| ~ l3_lattices(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( ~ m1_filter_0(X6,X4)
| ( ( ~ r2_hidden(X6,k1_funct_1(k8_lopclset(X4),X5))
| ( v1_filter_0(X6,X4)
& r2_hidden(X5,X6) ) )
& ( ~ v1_filter_0(X6,X4)
| ~ r2_hidden(X5,X6)
| r2_hidden(X6,k1_funct_1(k8_lopclset(X4),X5)) ) ) ) ) ),
inference(variable_rename,[status(thm)],[254]) ).
fof(256,plain,
! [X4,X5,X6] :
( ~ m1_filter_0(X6,X4)
| ( ( ~ r2_hidden(X6,k1_funct_1(k8_lopclset(X4),X5))
| ( v1_filter_0(X6,X4)
& r2_hidden(X5,X6) ) )
& ( ~ v1_filter_0(X6,X4)
| ~ r2_hidden(X5,X6)
| r2_hidden(X6,k1_funct_1(k8_lopclset(X4),X5)) ) )
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v17_lattices(X4)
| v3_realset2(X4)
| ~ l3_lattices(X4) ),
inference(shift_quantors,[status(thm)],[255]) ).
fof(257,plain,
! [X4,X5,X6] :
( ( v1_filter_0(X6,X4)
| ~ r2_hidden(X6,k1_funct_1(k8_lopclset(X4),X5))
| ~ m1_filter_0(X6,X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v17_lattices(X4)
| v3_realset2(X4)
| ~ l3_lattices(X4) )
& ( r2_hidden(X5,X6)
| ~ r2_hidden(X6,k1_funct_1(k8_lopclset(X4),X5))
| ~ m1_filter_0(X6,X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v17_lattices(X4)
| v3_realset2(X4)
| ~ l3_lattices(X4) )
& ( ~ v1_filter_0(X6,X4)
| ~ r2_hidden(X5,X6)
| r2_hidden(X6,k1_funct_1(k8_lopclset(X4),X5))
| ~ m1_filter_0(X6,X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v17_lattices(X4)
| v3_realset2(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[256]) ).
cnf(258,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1) ),
inference(split_conjunct,[status(thm)],[257]) ).
fof(281,plain,
! [X1,X2,X3] :
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| m1_subset_1(X1,X3) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(282,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[281]) ).
cnf(283,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[282]) ).
fof(312,plain,
! [X2] :
( ~ v1_xboole_0(k1_zfmisc_1(X2))
& v1_finsub_1(k1_zfmisc_1(X2))
& v3_finsub_1(k1_zfmisc_1(X2))
& v4_finsub_1(k1_zfmisc_1(X2)) ),
inference(variable_rename,[status(thm)],[106]) ).
cnf(316,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[312]) ).
fof(362,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| k7_lopclset(X1) = a_1_1_lopclset(X1) ),
inference(fof_nnf,[status(thm)],[109]) ).
fof(363,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| k7_lopclset(X2) = a_1_1_lopclset(X2) ),
inference(variable_rename,[status(thm)],[362]) ).
cnf(364,plain,
( k7_lopclset(X1) = a_1_1_lopclset(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[363]) ).
fof(366,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(k7_lopclset(X1)) ),
inference(fof_nnf,[status(thm)],[110]) ).
fof(367,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| ~ v1_xboole_0(k7_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[366]) ).
cnf(368,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k7_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[367]) ).
fof(378,plain,
! [X1,X2] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(379,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[378]) ).
cnf(380,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[379]) ).
cnf(386,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[60]) ).
fof(387,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_nnf,[status(thm)],[111]) ).
fof(388,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_filter_0(X4,X3)
| ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ) ),
inference(variable_rename,[status(thm)],[387]) ).
fof(389,plain,
! [X3,X4] :
( ~ m1_filter_0(X4,X3)
| ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[388]) ).
fof(390,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[389]) ).
cnf(392,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[390]) ).
fof(393,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ? [X3] :
( m1_filter_0(X3,X1)
& v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[112]) ).
fof(394,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v10_lattices(X4)
& v17_lattices(X4)
& ~ v3_realset2(X4)
& l3_lattices(X4)
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X4))
& ? [X6] :
( m1_filter_0(X6,X4)
& v1_filter_0(X6,X4)
& ~ r2_hidden(X6,k8_funct_2(u1_struct_0(X4),k1_zfmisc_1(k7_lopclset(X4)),k9_lopclset(X4),X5))
& r2_hidden(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[393]) ).
fof(395,negated_conjecture,
( ~ v3_struct_0(esk15_0)
& v10_lattices(esk15_0)
& v17_lattices(esk15_0)
& ~ v3_realset2(esk15_0)
& l3_lattices(esk15_0)
& m1_subset_1(esk16_0,u1_struct_0(esk15_0))
& m1_filter_0(esk17_0,esk15_0)
& v1_filter_0(esk17_0,esk15_0)
& ~ r2_hidden(esk17_0,k8_funct_2(u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)),k9_lopclset(esk15_0),esk16_0))
& r2_hidden(esk16_0,esk17_0) ),
inference(skolemize,[status(esa)],[394]) ).
cnf(396,negated_conjecture,
r2_hidden(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(397,negated_conjecture,
~ r2_hidden(esk17_0,k8_funct_2(u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)),k9_lopclset(esk15_0),esk16_0)),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(398,negated_conjecture,
v1_filter_0(esk17_0,esk15_0),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(399,negated_conjecture,
m1_filter_0(esk17_0,esk15_0),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(400,negated_conjecture,
m1_subset_1(esk16_0,u1_struct_0(esk15_0)),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(401,negated_conjecture,
l3_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(402,negated_conjecture,
~ v3_realset2(esk15_0),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(403,negated_conjecture,
v17_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(404,negated_conjecture,
v10_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(405,negated_conjecture,
~ v3_struct_0(esk15_0),
inference(split_conjunct,[status(thm)],[395]) ).
fof(486,plain,
! [X1,X2] :
( ? [X3] :
( ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) )
| X1 = X2 ),
inference(fof_nnf,[status(thm)],[78]) ).
fof(487,plain,
! [X4,X5] :
( ? [X6] :
( ( ~ r2_hidden(X6,X4)
| ~ r2_hidden(X6,X5) )
& ( r2_hidden(X6,X4)
| r2_hidden(X6,X5) ) )
| X4 = X5 ),
inference(variable_rename,[status(thm)],[486]) ).
fof(488,plain,
! [X4,X5] :
( ( ( ~ r2_hidden(esk21_2(X4,X5),X4)
| ~ r2_hidden(esk21_2(X4,X5),X5) )
& ( r2_hidden(esk21_2(X4,X5),X4)
| r2_hidden(esk21_2(X4,X5),X5) ) )
| X4 = X5 ),
inference(skolemize,[status(esa)],[487]) ).
fof(489,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk21_2(X4,X5),X4)
| ~ r2_hidden(esk21_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk21_2(X4,X5),X4)
| r2_hidden(esk21_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[488]) ).
cnf(490,plain,
( X1 = X2
| r2_hidden(esk21_2(X1,X2),X2)
| r2_hidden(esk21_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[489]) ).
cnf(491,plain,
( X1 = X2
| ~ r2_hidden(esk21_2(X1,X2),X2)
| ~ r2_hidden(esk21_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[489]) ).
fof(492,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ( v1_relat_1(k8_lopclset(X1))
& v1_funct_1(k8_lopclset(X1)) ) ),
inference(fof_nnf,[status(thm)],[118]) ).
fof(493,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| ( v1_relat_1(k8_lopclset(X2))
& v1_funct_1(k8_lopclset(X2)) ) ),
inference(variable_rename,[status(thm)],[492]) ).
fof(494,plain,
! [X2] :
( ( v1_relat_1(k8_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) )
& ( v1_funct_1(k8_lopclset(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[493]) ).
cnf(495,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| v1_funct_1(k8_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[494]) ).
fof(506,plain,
! [X1,X2,X3] :
( ( ~ m2_relset_1(X3,X1,X2)
| m1_relset_1(X3,X1,X2) )
& ( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(507,plain,
! [X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[506]) ).
cnf(509,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[507]) ).
fof(513,plain,
! [X1,X2] :
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(fof_nnf,[status(thm)],[83]) ).
fof(514,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[513]) ).
cnf(515,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[514]) ).
fof(516,plain,
! [X1,X2,X3,X4] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,X1)
| k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_nnf,[status(thm)],[119]) ).
fof(517,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m1_relset_1(X7,X5,X6)
| ~ m1_subset_1(X8,X5)
| k8_funct_2(X5,X6,X7,X8) = k1_funct_1(X7,X8) ),
inference(variable_rename,[status(thm)],[516]) ).
cnf(518,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[517]) ).
fof(530,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| m1_subset_1(k7_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
inference(fof_nnf,[status(thm)],[120]) ).
fof(531,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| v3_realset2(X2)
| ~ l3_lattices(X2)
| m1_subset_1(k7_lopclset(X2),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X2)))) ),
inference(variable_rename,[status(thm)],[530]) ).
cnf(532,plain,
( m1_subset_1(k7_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[531]) ).
cnf(552,plain,
( m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,esk8_1(X2)) ),
inference(spm,[status(thm)],[283,215,theory(equality)]) ).
cnf(626,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk7_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[201,208,theory(equality)]) ).
cnf(757,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_realset2(X2)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k7_lopclset(X2))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[283,532,theory(equality)]) ).
cnf(852,plain,
( X1 = X2
| r2_hidden(esk21_2(X1,X2),X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[380,490,theory(equality)]) ).
cnf(867,plain,
( m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[509,154,theory(equality)]) ).
cnf(870,plain,
( esk1_2(X1,X2) = X1
| v3_realset2(X2)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k7_lopclset(X2))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[127,364,theory(equality)]) ).
cnf(873,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| ~ v1_xboole_0(esk1_2(X2,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X2,a_1_1_lopclset(X1))
| ~ v17_lattices(X1) ),
inference(spm,[status(thm)],[392,128,theory(equality)]) ).
cnf(929,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| ~ v1_funct_2(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ m1_subset_1(esk16_0,u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[397,518,theory(equality)]) ).
cnf(931,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| ~ v1_funct_2(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| $false ),
inference(rw,[status(thm)],[929,400,theory(equality)]) ).
cnf(932,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| ~ v1_funct_2(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0))) ),
inference(cn,[status(thm)],[931,theory(equality)]) ).
cnf(1005,plain,
( X2 = esk7_1(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[626,852,theory(equality)]) ).
cnf(1055,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X1)
| v1_xboole_0(esk8_1(X1))
| ~ m1_subset_1(X2,esk8_1(X1)) ),
inference(spm,[status(thm)],[552,515,theory(equality)]) ).
cnf(1096,plain,
( k1_xboole_0 = esk7_1(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[1005,386,theory(equality)]) ).
cnf(1104,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,k1_xboole_0) ),
inference(spm,[status(thm)],[626,1096,theory(equality)]) ).
fof(1155,plain,
( ~ epred1_0
<=> ! [X1] : ~ v1_xboole_0(X1) ),
introduced(definition),
[split] ).
cnf(1156,plain,
( epred1_0
| ~ v1_xboole_0(X1) ),
inference(split_equiv,[status(thm)],[1155]) ).
fof(1157,plain,
( ~ epred2_0
<=> ! [X2] : ~ r2_hidden(X2,k1_xboole_0) ),
introduced(definition),
[split] ).
cnf(1158,plain,
( epred2_0
| ~ r2_hidden(X2,k1_xboole_0) ),
inference(split_equiv,[status(thm)],[1157]) ).
cnf(1159,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[1104,1155,theory(equality)]),1157,theory(equality)]),
[split] ).
cnf(1161,plain,
( epred2_0
| k1_xboole_0 = X1
| r2_hidden(esk21_2(k1_xboole_0,X1),X1) ),
inference(spm,[status(thm)],[1158,490,theory(equality)]) ).
cnf(1162,plain,
( epred2_0
| X1 = k1_xboole_0
| r2_hidden(esk21_2(X1,k1_xboole_0),X1) ),
inference(spm,[status(thm)],[1158,490,theory(equality)]) ).
cnf(1166,plain,
epred1_0,
inference(spm,[status(thm)],[1156,386,theory(equality)]) ).
cnf(1171,plain,
( ~ epred2_0
| $false ),
inference(rw,[status(thm)],[1159,1166,theory(equality)]) ).
cnf(1172,plain,
~ epred2_0,
inference(cn,[status(thm)],[1171,theory(equality)]) ).
cnf(2194,plain,
( k1_xboole_0 = X1
| r2_hidden(esk21_2(k1_xboole_0,X1),X1) ),
inference(sr,[status(thm)],[1161,1172,theory(equality)]) ).
cnf(2262,plain,
( X1 = k1_xboole_0
| r2_hidden(esk21_2(X1,k1_xboole_0),X1) ),
inference(sr,[status(thm)],[1162,1172,theory(equality)]) ).
cnf(2444,plain,
( m1_subset_1(esk21_2(k7_lopclset(X1),X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_realset2(X1)
| v3_struct_0(X1)
| k7_lopclset(X1) = X2
| r2_hidden(esk21_2(k7_lopclset(X1),X2),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[757,490,theory(equality)]) ).
cnf(5600,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(esk1_2(X2,X1))
| ~ r2_hidden(X2,k7_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[873,364,theory(equality)]) ).
cnf(7468,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(spm,[status(thm)],[932,155,theory(equality)]) ).
cnf(7475,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[7468,401,theory(equality)]) ).
cnf(7476,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| $false
| $false
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[7475,403,theory(equality)]) ).
cnf(7477,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[7476,404,theory(equality)]) ).
cnf(7478,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0)) ),
inference(cn,[status(thm)],[7477,theory(equality)]) ).
cnf(7479,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0)) ),
inference(sr,[status(thm)],[7478,402,theory(equality)]) ).
cnf(7480,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk15_0))
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0)) ),
inference(sr,[status(thm)],[7479,405,theory(equality)]) ).
cnf(9923,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X1)
| ~ m1_subset_1(X2,esk8_1(X1)) ),
inference(csr,[status(thm)],[1055,214]) ).
cnf(9924,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk7_1(esk8_1(X1)),X1) ),
inference(spm,[status(thm)],[9923,208,theory(equality)]) ).
cnf(9990,plain,
( v1_xboole_0(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk7_1(esk8_1(k1_zfmisc_1(X1)))) ),
inference(spm,[status(thm)],[201,9924,theory(equality)]) ).
cnf(10015,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk7_1(esk8_1(k1_zfmisc_1(X1)))) ),
inference(sr,[status(thm)],[9990,316,theory(equality)]) ).
cnf(10173,plain,
( k1_xboole_0 = esk7_1(esk8_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[10015,2194,theory(equality)]) ).
cnf(10205,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,k1_xboole_0) ),
inference(spm,[status(thm)],[10015,10173,theory(equality)]) ).
fof(10228,plain,
( ~ epred9_0
<=> ! [X1] : ~ v1_xboole_0(X1) ),
introduced(definition),
[split] ).
cnf(10229,plain,
( epred9_0
| ~ v1_xboole_0(X1) ),
inference(split_equiv,[status(thm)],[10228]) ).
fof(10230,plain,
( ~ epred10_0
<=> ! [X2] : ~ r2_hidden(X2,k1_xboole_0) ),
introduced(definition),
[split] ).
cnf(10231,plain,
( epred10_0
| ~ r2_hidden(X2,k1_xboole_0) ),
inference(split_equiv,[status(thm)],[10230]) ).
cnf(10232,plain,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[10205,10228,theory(equality)]),10230,theory(equality)]),
[split] ).
cnf(10347,plain,
epred9_0,
inference(spm,[status(thm)],[10229,386,theory(equality)]) ).
cnf(10356,plain,
( ~ epred10_0
| $false ),
inference(rw,[status(thm)],[10232,10347,theory(equality)]) ).
cnf(10357,plain,
~ epred10_0,
inference(cn,[status(thm)],[10356,theory(equality)]) ).
cnf(10358,plain,
~ r2_hidden(X2,k1_xboole_0),
inference(sr,[status(thm)],[10231,10357,theory(equality)]) ).
cnf(22264,negated_conjecture,
( k7_lopclset(esk15_0) = X1
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),X1),k1_zfmisc_1(u1_struct_0(esk15_0)))
| r2_hidden(esk21_2(k7_lopclset(esk15_0),X1),X1)
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(spm,[status(thm)],[2444,401,theory(equality)]) ).
cnf(22267,negated_conjecture,
( k7_lopclset(esk15_0) = X1
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),X1),k1_zfmisc_1(u1_struct_0(esk15_0)))
| r2_hidden(esk21_2(k7_lopclset(esk15_0),X1),X1)
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[22264,403,theory(equality)]) ).
cnf(22268,negated_conjecture,
( k7_lopclset(esk15_0) = X1
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),X1),k1_zfmisc_1(u1_struct_0(esk15_0)))
| r2_hidden(esk21_2(k7_lopclset(esk15_0),X1),X1)
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| $false ),
inference(rw,[status(thm)],[22267,404,theory(equality)]) ).
cnf(22269,negated_conjecture,
( k7_lopclset(esk15_0) = X1
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),X1),k1_zfmisc_1(u1_struct_0(esk15_0)))
| r2_hidden(esk21_2(k7_lopclset(esk15_0),X1),X1)
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0) ),
inference(cn,[status(thm)],[22268,theory(equality)]) ).
cnf(22270,negated_conjecture,
( k7_lopclset(esk15_0) = X1
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),X1),k1_zfmisc_1(u1_struct_0(esk15_0)))
| r2_hidden(esk21_2(k7_lopclset(esk15_0),X1),X1)
| v3_struct_0(esk15_0) ),
inference(sr,[status(thm)],[22269,402,theory(equality)]) ).
cnf(22271,negated_conjecture,
( k7_lopclset(esk15_0) = X1
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),X1),k1_zfmisc_1(u1_struct_0(esk15_0)))
| r2_hidden(esk21_2(k7_lopclset(esk15_0),X1),X1) ),
inference(sr,[status(thm)],[22270,405,theory(equality)]) ).
cnf(22900,negated_conjecture,
( k7_lopclset(esk15_0) = X1
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),X1),k1_zfmisc_1(u1_struct_0(esk15_0)))
| ~ r2_hidden(esk21_2(k7_lopclset(esk15_0),X1),k7_lopclset(esk15_0)) ),
inference(spm,[status(thm)],[491,22271,theory(equality)]) ).
cnf(32415,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| m1_subset_1(esk21_2(k7_lopclset(esk15_0),k1_xboole_0),k1_zfmisc_1(u1_struct_0(esk15_0))) ),
inference(spm,[status(thm)],[22900,2262,theory(equality)]) ).
cnf(32451,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(u1_struct_0(esk15_0))
| ~ r2_hidden(X1,esk21_2(k7_lopclset(esk15_0),k1_xboole_0)) ),
inference(spm,[status(thm)],[201,32415,theory(equality)]) ).
cnf(34419,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| k1_xboole_0 = esk21_2(k7_lopclset(esk15_0),k1_xboole_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[32451,2194,theory(equality)]) ).
cnf(34445,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| r2_hidden(k1_xboole_0,k7_lopclset(esk15_0))
| r2_hidden(k1_xboole_0,k1_xboole_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[490,34419,theory(equality)]) ).
cnf(34523,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| r2_hidden(k1_xboole_0,k7_lopclset(esk15_0))
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(sr,[status(thm)],[34445,10358,theory(equality)]) ).
cnf(34624,negated_conjecture,
( esk1_2(k1_xboole_0,esk15_0) = k1_xboole_0
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[870,34523,theory(equality)]) ).
cnf(34625,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(esk1_2(k1_xboole_0,esk15_0))
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[5600,34523,theory(equality)]) ).
cnf(34633,negated_conjecture,
( esk1_2(k1_xboole_0,esk15_0) = k1_xboole_0
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[34624,401,theory(equality)]) ).
cnf(34634,negated_conjecture,
( esk1_2(k1_xboole_0,esk15_0) = k1_xboole_0
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| $false
| $false
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[34633,403,theory(equality)]) ).
cnf(34635,negated_conjecture,
( esk1_2(k1_xboole_0,esk15_0) = k1_xboole_0
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| $false
| $false
| $false
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[34634,404,theory(equality)]) ).
cnf(34636,negated_conjecture,
( esk1_2(k1_xboole_0,esk15_0) = k1_xboole_0
| v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(cn,[status(thm)],[34635,theory(equality)]) ).
cnf(34637,negated_conjecture,
( esk1_2(k1_xboole_0,esk15_0) = k1_xboole_0
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(sr,[status(thm)],[34636,402,theory(equality)]) ).
cnf(34638,negated_conjecture,
( esk1_2(k1_xboole_0,esk15_0) = k1_xboole_0
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(sr,[status(thm)],[34637,405,theory(equality)]) ).
cnf(34639,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(esk1_2(k1_xboole_0,esk15_0))
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[34625,401,theory(equality)]) ).
cnf(34640,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(esk1_2(k1_xboole_0,esk15_0))
| $false
| $false
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[34639,403,theory(equality)]) ).
cnf(34641,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(esk1_2(k1_xboole_0,esk15_0))
| $false
| $false
| $false
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[34640,404,theory(equality)]) ).
cnf(34642,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(esk1_2(k1_xboole_0,esk15_0))
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(cn,[status(thm)],[34641,theory(equality)]) ).
cnf(34643,negated_conjecture,
( v3_struct_0(esk15_0)
| k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(esk1_2(k1_xboole_0,esk15_0))
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(sr,[status(thm)],[34642,402,theory(equality)]) ).
cnf(34644,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(esk1_2(k1_xboole_0,esk15_0))
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(sr,[status(thm)],[34643,405,theory(equality)]) ).
cnf(35742,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(k1_xboole_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[34644,34638,theory(equality)]) ).
cnf(35743,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| $false
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[35742,386,theory(equality)]) ).
cnf(35744,negated_conjecture,
( k7_lopclset(esk15_0) = k1_xboole_0
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(cn,[status(thm)],[35743,theory(equality)]) ).
cnf(35749,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[368,35744,theory(equality)]) ).
cnf(35862,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[35749,386,theory(equality)]) ).
cnf(35863,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[35862,401,theory(equality)]) ).
cnf(35864,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| ~ v10_lattices(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[35863,403,theory(equality)]) ).
cnf(35865,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(rw,[status(thm)],[35864,404,theory(equality)]) ).
cnf(35866,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(cn,[status(thm)],[35865,theory(equality)]) ).
cnf(35867,negated_conjecture,
( v3_struct_0(esk15_0)
| ~ v1_xboole_0(u1_struct_0(esk15_0)) ),
inference(sr,[status(thm)],[35866,402,theory(equality)]) ).
cnf(35868,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk15_0)),
inference(sr,[status(thm)],[35867,405,theory(equality)]) ).
cnf(149815,negated_conjecture,
( ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ m1_relset_1(k9_lopclset(esk15_0),u1_struct_0(esk15_0),k1_zfmisc_1(k7_lopclset(esk15_0)))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0)) ),
inference(sr,[status(thm)],[7480,35868,theory(equality)]) ).
cnf(149817,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(spm,[status(thm)],[149815,867,theory(equality)]) ).
cnf(149825,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[149817,401,theory(equality)]) ).
cnf(149826,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| $false
| $false
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[149825,403,theory(equality)]) ).
cnf(149827,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[149826,404,theory(equality)]) ).
cnf(149828,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0)) ),
inference(cn,[status(thm)],[149827,theory(equality)]) ).
cnf(149829,negated_conjecture,
( v3_struct_0(esk15_0)
| ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0)) ),
inference(sr,[status(thm)],[149828,402,theory(equality)]) ).
cnf(149830,negated_conjecture,
( ~ v1_funct_1(k9_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k9_lopclset(esk15_0),esk16_0)) ),
inference(sr,[status(thm)],[149829,405,theory(equality)]) ).
cnf(149832,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k8_lopclset(esk15_0),esk16_0))
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(spm,[status(thm)],[149830,219,theory(equality)]) ).
cnf(149840,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k8_lopclset(esk15_0),esk16_0))
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[149832,401,theory(equality)]) ).
cnf(149841,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k8_lopclset(esk15_0),esk16_0))
| $false
| $false
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[149840,403,theory(equality)]) ).
cnf(149842,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k8_lopclset(esk15_0),esk16_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[149841,404,theory(equality)]) ).
cnf(149843,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k8_lopclset(esk15_0),esk16_0)) ),
inference(cn,[status(thm)],[149842,theory(equality)]) ).
cnf(149844,negated_conjecture,
( v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k8_lopclset(esk15_0),esk16_0)) ),
inference(sr,[status(thm)],[149843,402,theory(equality)]) ).
cnf(149845,negated_conjecture,
( ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ r2_hidden(esk17_0,k1_funct_1(k8_lopclset(esk15_0),esk16_0)) ),
inference(sr,[status(thm)],[149844,405,theory(equality)]) ).
cnf(150127,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| ~ m1_subset_1(esk16_0,u1_struct_0(esk15_0))
| ~ v1_filter_0(esk17_0,esk15_0)
| ~ m1_filter_0(esk17_0,esk15_0)
| ~ r2_hidden(esk16_0,esk17_0)
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(spm,[status(thm)],[149845,258,theory(equality)]) ).
cnf(150135,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| $false
| ~ v1_filter_0(esk17_0,esk15_0)
| ~ m1_filter_0(esk17_0,esk15_0)
| ~ r2_hidden(esk16_0,esk17_0)
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150127,400,theory(equality)]) ).
cnf(150136,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| $false
| $false
| ~ m1_filter_0(esk17_0,esk15_0)
| ~ r2_hidden(esk16_0,esk17_0)
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150135,398,theory(equality)]) ).
cnf(150137,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| $false
| $false
| $false
| ~ r2_hidden(esk16_0,esk17_0)
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150136,399,theory(equality)]) ).
cnf(150138,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| $false
| $false
| $false
| $false
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150137,396,theory(equality)]) ).
cnf(150139,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| $false
| $false
| $false
| $false
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150138,401,theory(equality)]) ).
cnf(150140,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150139,403,theory(equality)]) ).
cnf(150141,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[150140,404,theory(equality)]) ).
cnf(150142,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0)) ),
inference(cn,[status(thm)],[150141,theory(equality)]) ).
cnf(150143,negated_conjecture,
( v3_struct_0(esk15_0)
| ~ v1_funct_1(k8_lopclset(esk15_0)) ),
inference(sr,[status(thm)],[150142,402,theory(equality)]) ).
cnf(150144,negated_conjecture,
~ v1_funct_1(k8_lopclset(esk15_0)),
inference(sr,[status(thm)],[150143,405,theory(equality)]) ).
cnf(150145,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| ~ l3_lattices(esk15_0)
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(spm,[status(thm)],[150144,495,theory(equality)]) ).
cnf(150146,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| ~ v17_lattices(esk15_0)
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150145,401,theory(equality)]) ).
cnf(150147,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| $false
| ~ v10_lattices(esk15_0) ),
inference(rw,[status(thm)],[150146,403,theory(equality)]) ).
cnf(150148,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[150147,404,theory(equality)]) ).
cnf(150149,negated_conjecture,
( v3_realset2(esk15_0)
| v3_struct_0(esk15_0) ),
inference(cn,[status(thm)],[150148,theory(equality)]) ).
cnf(150150,negated_conjecture,
v3_struct_0(esk15_0),
inference(sr,[status(thm)],[150149,402,theory(equality)]) ).
cnf(150151,negated_conjecture,
$false,
inference(sr,[status(thm)],[150150,405,theory(equality)]) ).
cnf(150152,negated_conjecture,
$false,
150151,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT289+1.p
% --creating new selector for []
% -running prover on /tmp/tmpD-8Tbn/sel_LAT289+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT289+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT289+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT289+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------