TSTP Solution File: LAT310+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT310+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 14:34:25 EST 2010
% Result : Theorem 2.44s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 131 ( 24 unt; 0 def)
% Number of atoms : 731 ( 47 equ)
% Maximal formula atoms : 45 ( 5 avg)
% Number of connectives : 945 ( 345 ~; 453 |; 109 &)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 165 ( 2 sgn 83 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
& r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
file('/tmp/tmpCgQapy/sel_LAT310+1.p_1',t39_filter_2) ).
fof(4,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/tmp/tmpCgQapy/sel_LAT310+1.p_1',t1_xboole_1) ).
fof(11,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/tmp/tmpCgQapy/sel_LAT310+1.p_1',reflexivity_r1_tarski) ).
fof(28,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/tmp/tmpCgQapy/sel_LAT310+1.p_1',dt_m2_lattice4) ).
fof(32,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/tmp/tmpCgQapy/sel_LAT310+1.p_1',dt_k19_filter_2) ).
fof(40,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( r1_tarski(X2,X3)
& ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) ) ) ) ) ) ),
file('/tmp/tmpCgQapy/sel_LAT310+1.p_1',d11_filter_2) ).
fof(44,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/tmp/tmpCgQapy/sel_LAT310+1.p_1',dt_m2_filter_2) ).
fof(45,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
& r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(46,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
& r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).
fof(55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(56,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[32,theory(equality)]) ).
fof(59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( r1_tarski(X2,X3)
& ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(62,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(64,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ? [X3] :
( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ? [X4] :
( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& ( ( r1_tarski(X3,X4)
& ~ r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
| ~ r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(65,negated_conjecture,
? [X5] :
( ~ v3_struct_0(X5)
& v10_lattices(X5)
& l3_lattices(X5)
& ? [X6] :
( ~ v1_xboole_0(X6)
& m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
& ? [X7] :
( ~ v1_xboole_0(X7)
& m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X5)))
& ? [X8] :
( ~ v1_xboole_0(X8)
& m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
& ( ( r1_tarski(X7,X8)
& ~ r1_tarski(k19_filter_2(X5,X7),k19_filter_2(X5,X8)) )
| ~ r1_tarski(k19_filter_2(X5,k19_filter_2(X5,X6)),k19_filter_2(X5,X6)) ) ) ) ) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk4_0)
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( ( r1_tarski(esk3_0,esk4_0)
& ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)) )
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[65]) ).
fof(67,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk4_0)
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( r1_tarski(esk3_0,esk4_0)
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) )
& ( ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ) ),
inference(distribute,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0))
| ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(70,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(71,negated_conjecture,
~ v1_xboole_0(esk4_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(72,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(73,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(74,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(75,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(76,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(77,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(78,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[67]) ).
fof(82,plain,
! [X1,X2,X3] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3)
| r1_tarski(X1,X3) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(83,plain,
! [X4,X5,X6] :
( ~ r1_tarski(X4,X5)
| ~ r1_tarski(X5,X6)
| r1_tarski(X4,X6) ),
inference(variable_rename,[status(thm)],[82]) ).
cnf(84,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(103,plain,
! [X3,X4] : r1_tarski(X3,X3),
inference(variable_rename,[status(thm)],[11]) ).
cnf(104,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[103]) ).
fof(156,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_lattice4(X2,X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(157,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ),
inference(variable_rename,[status(thm)],[156]) ).
fof(158,plain,
! [X3,X4] :
( ~ m2_lattice4(X4,X3)
| 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)],[157]) ).
cnf(159,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[158]) ).
fof(170,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[56]) ).
fof(171,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m2_filter_2(k19_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[170]) ).
cnf(172,plain,
( m2_filter_2(k19_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[171]) ).
fof(195,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ! [X3] :
( ~ m2_filter_2(X3,X1)
| ( ( X3 != k19_filter_2(X1,X2)
| ( r1_tarski(X2,X3)
& ! [X4] :
( ~ m2_filter_2(X4,X1)
| ~ r1_tarski(X2,X4)
| r1_tarski(X3,X4) ) ) )
& ( ~ r1_tarski(X2,X3)
| ? [X4] :
( m2_filter_2(X4,X1)
& r1_tarski(X2,X4)
& ~ r1_tarski(X3,X4) )
| X3 = k19_filter_2(X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(196,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| ! [X6] :
( v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| ! [X7] :
( ~ m2_filter_2(X7,X5)
| ( ( X7 != k19_filter_2(X5,X6)
| ( r1_tarski(X6,X7)
& ! [X8] :
( ~ m2_filter_2(X8,X5)
| ~ r1_tarski(X6,X8)
| r1_tarski(X7,X8) ) ) )
& ( ~ r1_tarski(X6,X7)
| ? [X9] :
( m2_filter_2(X9,X5)
& r1_tarski(X6,X9)
& ~ r1_tarski(X7,X9) )
| X7 = k19_filter_2(X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[195]) ).
fof(197,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| ! [X6] :
( v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| ! [X7] :
( ~ m2_filter_2(X7,X5)
| ( ( X7 != k19_filter_2(X5,X6)
| ( r1_tarski(X6,X7)
& ! [X8] :
( ~ m2_filter_2(X8,X5)
| ~ r1_tarski(X6,X8)
| r1_tarski(X7,X8) ) ) )
& ( ~ r1_tarski(X6,X7)
| ( m2_filter_2(esk18_3(X5,X6,X7),X5)
& r1_tarski(X6,esk18_3(X5,X6,X7))
& ~ r1_tarski(X7,esk18_3(X5,X6,X7)) )
| X7 = k19_filter_2(X5,X6) ) ) ) ) ),
inference(skolemize,[status(esa)],[196]) ).
fof(198,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ m2_filter_2(X8,X5)
| ~ r1_tarski(X6,X8)
| r1_tarski(X7,X8) )
& r1_tarski(X6,X7) )
| X7 != k19_filter_2(X5,X6) )
& ( ~ r1_tarski(X6,X7)
| ( m2_filter_2(esk18_3(X5,X6,X7),X5)
& r1_tarski(X6,esk18_3(X5,X6,X7))
& ~ r1_tarski(X7,esk18_3(X5,X6,X7)) )
| X7 = k19_filter_2(X5,X6) ) )
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ),
inference(shift_quantors,[status(thm)],[197]) ).
fof(199,plain,
! [X5,X6,X7,X8] :
( ( ~ m2_filter_2(X8,X5)
| ~ r1_tarski(X6,X8)
| r1_tarski(X7,X8)
| X7 != k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r1_tarski(X6,X7)
| X7 != k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m2_filter_2(esk18_3(X5,X6,X7),X5)
| ~ r1_tarski(X6,X7)
| X7 = k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r1_tarski(X6,esk18_3(X5,X6,X7))
| ~ r1_tarski(X6,X7)
| X7 = k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r1_tarski(X7,esk18_3(X5,X6,X7))
| ~ r1_tarski(X6,X7)
| X7 = k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[198]) ).
cnf(200,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| X3 = k19_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X3,X1)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X3,esk18_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(201,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| X3 = k19_filter_2(X1,X2)
| r1_tarski(X2,esk18_3(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X3,X1)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(203,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X3,X1)
| X3 != k19_filter_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(204,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X3,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X3,X1)
| X3 != k19_filter_2(X1,X2)
| ~ r1_tarski(X2,X4)
| ~ m2_filter_2(X4,X1) ),
inference(split_conjunct,[status(thm)],[199]) ).
fof(223,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X1)
| ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(224,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[223]) ).
fof(225,plain,
! [X3,X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[224]) ).
fof(226,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[225]) ).
cnf(227,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[226]) ).
cnf(228,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[226]) ).
cnf(273,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0)
| v1_xboole_0(esk2_0)
| v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[172,74,theory(equality)]) ).
cnf(274,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[172,72,theory(equality)]) ).
cnf(276,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk4_0),esk1_0)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[172,70,theory(equality)]) ).
cnf(281,plain,
( m2_filter_2(k19_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(spm,[status(thm)],[172,159,theory(equality)]) ).
cnf(282,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0)
| v1_xboole_0(esk2_0)
| v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[273,76,theory(equality)]) ).
cnf(283,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0)
| v1_xboole_0(esk2_0)
| v3_struct_0(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[282,77,theory(equality)]) ).
cnf(284,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0)
| v1_xboole_0(esk2_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[283,theory(equality)]) ).
cnf(285,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0)
| v3_struct_0(esk1_0) ),
inference(sr,[status(thm)],[284,75,theory(equality)]) ).
cnf(286,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0),
inference(sr,[status(thm)],[285,78,theory(equality)]) ).
cnf(287,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[274,76,theory(equality)]) ).
cnf(288,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[287,77,theory(equality)]) ).
cnf(289,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[288,theory(equality)]) ).
cnf(290,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0)
| v3_struct_0(esk1_0) ),
inference(sr,[status(thm)],[289,73,theory(equality)]) ).
cnf(291,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[290,78,theory(equality)]) ).
cnf(292,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk4_0),esk1_0)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[276,76,theory(equality)]) ).
cnf(293,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk4_0),esk1_0)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[292,77,theory(equality)]) ).
cnf(294,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk4_0),esk1_0)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[293,theory(equality)]) ).
cnf(295,negated_conjecture,
( m2_filter_2(k19_filter_2(esk1_0,esk4_0),esk1_0)
| v3_struct_0(esk1_0) ),
inference(sr,[status(thm)],[294,71,theory(equality)]) ).
cnf(296,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[295,78,theory(equality)]) ).
cnf(301,negated_conjecture,
( r1_tarski(esk4_0,X1)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk4_0) != X1
| ~ m2_filter_2(X1,esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[203,70,theory(equality)]) ).
cnf(317,negated_conjecture,
( r1_tarski(esk4_0,X1)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk4_0) != X1
| ~ m2_filter_2(X1,esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[301,76,theory(equality)]) ).
cnf(318,negated_conjecture,
( r1_tarski(esk4_0,X1)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk4_0) != X1
| ~ m2_filter_2(X1,esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[317,77,theory(equality)]) ).
cnf(319,negated_conjecture,
( r1_tarski(esk4_0,X1)
| v1_xboole_0(esk4_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk4_0) != X1
| ~ m2_filter_2(X1,esk1_0) ),
inference(cn,[status(thm)],[318,theory(equality)]) ).
cnf(320,negated_conjecture,
( r1_tarski(esk4_0,X1)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk4_0) != X1
| ~ m2_filter_2(X1,esk1_0) ),
inference(sr,[status(thm)],[319,71,theory(equality)]) ).
cnf(321,negated_conjecture,
( r1_tarski(esk4_0,X1)
| k19_filter_2(esk1_0,esk4_0) != X1
| ~ m2_filter_2(X1,esk1_0) ),
inference(sr,[status(thm)],[320,78,theory(equality)]) ).
cnf(325,negated_conjecture,
( r1_tarski(X1,X2)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X2,esk1_0)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X2)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[204,72,theory(equality)]) ).
cnf(332,plain,
( r1_tarski(X1,X2)
| v1_xboole_0(X3)
| v3_struct_0(X4)
| k19_filter_2(X4,X3) != X1
| ~ m2_filter_2(X2,X4)
| ~ m2_filter_2(X1,X4)
| ~ r1_tarski(X3,X2)
| ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| ~ m2_lattice4(X3,X4) ),
inference(spm,[status(thm)],[204,159,theory(equality)]) ).
cnf(338,negated_conjecture,
( r1_tarski(X1,X2)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X2,esk1_0)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X2)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[325,76,theory(equality)]) ).
cnf(339,negated_conjecture,
( r1_tarski(X1,X2)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X2,esk1_0)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X2)
| $false
| $false ),
inference(rw,[status(thm)],[338,77,theory(equality)]) ).
cnf(340,negated_conjecture,
( r1_tarski(X1,X2)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X2,esk1_0)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X2) ),
inference(cn,[status(thm)],[339,theory(equality)]) ).
cnf(341,negated_conjecture,
( r1_tarski(X1,X2)
| v3_struct_0(esk1_0)
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X2,esk1_0)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X2) ),
inference(sr,[status(thm)],[340,73,theory(equality)]) ).
cnf(342,negated_conjecture,
( r1_tarski(X1,X2)
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X2,esk1_0)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X2) ),
inference(sr,[status(thm)],[341,78,theory(equality)]) ).
cnf(350,plain,
( k19_filter_2(X1,X2) = X2
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ r1_tarski(X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[200,201,theory(equality)]) ).
cnf(351,plain,
( k19_filter_2(X1,X2) = X2
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| $false
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(rw,[status(thm)],[350,104,theory(equality)]) ).
cnf(352,plain,
( k19_filter_2(X1,X2) = X2
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(cn,[status(thm)],[351,theory(equality)]) ).
cnf(360,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[228,286,theory(equality)]) ).
cnf(361,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[360,76,theory(equality)]) ).
cnf(362,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[361,77,theory(equality)]) ).
cnf(363,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v1_xboole_0(k19_filter_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[362,theory(equality)]) ).
cnf(364,negated_conjecture,
~ v1_xboole_0(k19_filter_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[363,78,theory(equality)]) ).
cnf(946,negated_conjecture,
r1_tarski(esk4_0,k19_filter_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[321,296,theory(equality)]) ).
cnf(982,negated_conjecture,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(X1,esk4_0) ),
inference(spm,[status(thm)],[84,946,theory(equality)]) ).
cnf(1314,negated_conjecture,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[342,296,theory(equality)]) ).
cnf(1715,plain,
( r1_tarski(k19_filter_2(X1,X2),X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ m2_filter_2(X3,X1)
| ~ m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ r1_tarski(X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(er,[status(thm)],[332,theory(equality)]) ).
cnf(1777,plain,
( k19_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[352,228]) ).
cnf(1786,plain,
( k19_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(spm,[status(thm)],[1777,159,theory(equality)]) ).
cnf(21649,negated_conjecture,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[1314,982,theory(equality)]) ).
cnf(29556,plain,
( r1_tarski(k19_filter_2(X1,X2),X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ m2_filter_2(X3,X1)
| ~ r1_tarski(X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1715,281]) ).
cnf(29557,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| v3_struct_0(esk1_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0)
| ~ m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0)
| ~ r1_tarski(k19_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk2_0))
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[69,29556,theory(equality)]) ).
cnf(29720,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| v3_struct_0(esk1_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0)
| $false
| ~ r1_tarski(k19_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk2_0))
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[29557,286,theory(equality)]) ).
cnf(29721,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| v3_struct_0(esk1_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0)
| $false
| $false
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[29720,104,theory(equality)]) ).
cnf(29722,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| v3_struct_0(esk1_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0)
| $false
| $false
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[29721,76,theory(equality)]) ).
cnf(29723,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| v3_struct_0(esk1_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[29722,77,theory(equality)]) ).
cnf(29724,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v1_xboole_0(k19_filter_2(esk1_0,esk2_0))
| v3_struct_0(esk1_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[29723,theory(equality)]) ).
cnf(29725,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v3_struct_0(esk1_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[29724,364,theory(equality)]) ).
cnf(29726,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[29725,78,theory(equality)]) ).
cnf(29854,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v3_struct_0(esk1_0)
| ~ m2_filter_2(k19_filter_2(esk1_0,esk2_0),esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[29726,227,theory(equality)]) ).
cnf(29855,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v3_struct_0(esk1_0)
| $false
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[29854,286,theory(equality)]) ).
cnf(29856,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v3_struct_0(esk1_0)
| $false
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[29855,76,theory(equality)]) ).
cnf(29857,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v3_struct_0(esk1_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[29856,77,theory(equality)]) ).
cnf(29858,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[29857,theory(equality)]) ).
cnf(29859,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
inference(sr,[status(thm)],[29858,78,theory(equality)]) ).
cnf(29876,negated_conjecture,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X1,esk1_0)
| $false ),
inference(rw,[status(thm)],[21649,29859,theory(equality)]) ).
cnf(29877,negated_conjecture,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| k19_filter_2(esk1_0,esk3_0) != X1
| ~ m2_filter_2(X1,esk1_0) ),
inference(cn,[status(thm)],[29876,theory(equality)]) ).
cnf(33520,plain,
( k19_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1786,227]) ).
cnf(33521,negated_conjecture,
( k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)) = k19_filter_2(esk1_0,esk2_0)
| v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[33520,286,theory(equality)]) ).
cnf(33531,negated_conjecture,
( k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)) = k19_filter_2(esk1_0,esk2_0)
| v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[33521,76,theory(equality)]) ).
cnf(33532,negated_conjecture,
( k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)) = k19_filter_2(esk1_0,esk2_0)
| v3_struct_0(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[33531,77,theory(equality)]) ).
cnf(33533,negated_conjecture,
( k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)) = k19_filter_2(esk1_0,esk2_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[33532,theory(equality)]) ).
cnf(33534,negated_conjecture,
k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)) = k19_filter_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[33533,78,theory(equality)]) ).
cnf(33663,negated_conjecture,
( $false
| ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[68,33534,theory(equality)]),104,theory(equality)]) ).
cnf(33664,negated_conjecture,
~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[33663,theory(equality)]) ).
cnf(34291,negated_conjecture,
~ m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0),
inference(spm,[status(thm)],[33664,29877,theory(equality)]) ).
cnf(34319,negated_conjecture,
$false,
inference(rw,[status(thm)],[34291,291,theory(equality)]) ).
cnf(34320,negated_conjecture,
$false,
inference(cn,[status(thm)],[34319,theory(equality)]) ).
cnf(34321,negated_conjecture,
$false,
34320,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT310+1.p
% --creating new selector for []
% -running prover on /tmp/tmpCgQapy/sel_LAT310+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT310+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT310+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT310+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
%
%------------------------------------------------------------------------------