TSTP Solution File: LAT313+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT313+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 14:44:49 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 11
% Syntax : Number of formulae : 145 ( 19 unt; 0 def)
% Number of atoms : 656 ( 63 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 817 ( 306 ~; 391 |; 84 &)
% ( 3 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 3 sgn 93 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',t7_boole) ).
fof(3,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',redefinition_r1_filter_2) ).
fof(12,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',reflexivity_r1_tarski) ).
fof(19,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))) )
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',t42_filter_2) ).
fof(26,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',t38_filter_2) ).
fof(32,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/tmp1fff_F/sel_LAT313+1.p_1',dt_m2_lattice4) ).
fof(34,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',t3_subset) ).
fof(36,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/tmp1fff_F/sel_LAT313+1.p_1',dt_k19_filter_2) ).
fof(37,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',d8_filter_2) ).
fof(42,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
file('/tmp/tmp1fff_F/sel_LAT313+1.p_1',t43_filter_2) ).
fof(50,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/tmp1fff_F/sel_LAT313+1.p_1',dt_m2_filter_2) ).
fof(51,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
inference(assume_negation,[status(cth)],[42]) ).
fof(52,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(61,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))) )
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).
fof(65,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).
fof(67,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)],[32,theory(equality)]) ).
fof(68,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)],[36,theory(equality)]) ).
fof(69,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[37,theory(equality)]) ).
fof(71,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(75,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)],[50,theory(equality)]) ).
fof(77,plain,
! [X1,X2] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(78,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[77]) ).
cnf(79,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[78]) ).
fof(80,plain,
! [X1,X2,X3] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ( ( ~ r1_filter_2(X1,X2,X3)
| X2 = X3 )
& ( X2 != X3
| r1_filter_2(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(81,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| ( ( ~ r1_filter_2(X4,X5,X6)
| X5 = X6 )
& ( X5 != X6
| r1_filter_2(X4,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[80]) ).
fof(82,plain,
! [X4,X5,X6] :
( ( ~ r1_filter_2(X4,X5,X6)
| X5 = X6
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) )
& ( X5 != X6
| r1_filter_2(X4,X5,X6)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ) ),
inference(distribute,[status(thm)],[81]) ).
cnf(84,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(108,plain,
! [X3,X4] : r1_tarski(X3,X3),
inference(variable_rename,[status(thm)],[12]) ).
cnf(109,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[108]) ).
fof(131,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)))
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(132,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v14_lattices(X3)
| ~ r2_hidden(k6_lattices(X3),X4)
| ( r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),k17_filter_2(X3))
& k19_filter_2(X3,X4) = u1_struct_0(X3) ) ) ),
inference(variable_rename,[status(thm)],[131]) ).
fof(133,plain,
! [X3,X4] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v14_lattices(X3)
| ~ r2_hidden(k6_lattices(X3),X4)
| ( r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),k17_filter_2(X3))
& k19_filter_2(X3,X4) = u1_struct_0(X3) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[132]) ).
fof(134,plain,
! [X3,X4] :
( ( r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),k17_filter_2(X3))
| ~ v14_lattices(X3)
| ~ r2_hidden(k6_lattices(X3),X4)
| 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) )
& ( k19_filter_2(X3,X4) = u1_struct_0(X3)
| ~ v14_lattices(X3)
| ~ r2_hidden(k6_lattices(X3),X4)
| 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(distribute,[status(thm)],[133]) ).
cnf(135,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| k19_filter_2(X1,X2) = u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ v14_lattices(X1) ),
inference(split_conjunct,[status(thm)],[134]) ).
fof(159,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(160,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_filter_2(X4,X3)
| r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),X4) ) ),
inference(variable_rename,[status(thm)],[159]) ).
fof(161,plain,
! [X3,X4] :
( ~ m2_filter_2(X4,X3)
| r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[160]) ).
cnf(162,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[161]) ).
fof(177,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)],[67]) ).
fof(178,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)],[177]) ).
fof(179,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)],[178]) ).
cnf(180,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)],[179]) ).
fof(184,plain,
! [X1,X2] :
( ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) )
& ( ~ r1_tarski(X1,X2)
| m1_subset_1(X1,k1_zfmisc_1(X2)) ) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(185,plain,
! [X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(variable_rename,[status(thm)],[184]) ).
cnf(186,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[185]) ).
fof(191,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)],[68]) ).
fof(192,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)],[191]) ).
cnf(193,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)],[192]) ).
fof(194,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[69]) ).
fof(195,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| k17_filter_2(X2) = u1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[194]) ).
cnf(196,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[195]) ).
fof(208,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( m2_filter_2(X2,X1)
& v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2)
& ( ~ r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
| X2 != u1_struct_0(X1) ) ) ),
inference(fof_nnf,[status(thm)],[71]) ).
fof(209,negated_conjecture,
? [X3] :
( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3)
& ? [X4] :
( m2_filter_2(X4,X3)
& v14_lattices(X3)
& r2_hidden(k6_lattices(X3),X4)
& ( ~ r1_filter_2(u1_struct_0(X3),X4,k17_filter_2(X3))
| X4 != u1_struct_0(X3) ) ) ),
inference(variable_rename,[status(thm)],[208]) ).
fof(210,negated_conjecture,
( ~ v3_struct_0(esk13_0)
& v10_lattices(esk13_0)
& l3_lattices(esk13_0)
& m2_filter_2(esk14_0,esk13_0)
& v14_lattices(esk13_0)
& r2_hidden(k6_lattices(esk13_0),esk14_0)
& ( ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,k17_filter_2(esk13_0))
| esk14_0 != u1_struct_0(esk13_0) ) ),
inference(skolemize,[status(esa)],[209]) ).
cnf(211,negated_conjecture,
( esk14_0 != u1_struct_0(esk13_0)
| ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,k17_filter_2(esk13_0)) ),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(212,negated_conjecture,
r2_hidden(k6_lattices(esk13_0),esk14_0),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(213,negated_conjecture,
v14_lattices(esk13_0),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(214,negated_conjecture,
m2_filter_2(esk14_0,esk13_0),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(215,negated_conjecture,
l3_lattices(esk13_0),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(216,negated_conjecture,
v10_lattices(esk13_0),
inference(split_conjunct,[status(thm)],[210]) ).
cnf(217,negated_conjecture,
~ v3_struct_0(esk13_0),
inference(split_conjunct,[status(thm)],[210]) ).
fof(248,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)],[75]) ).
fof(249,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)],[248]) ).
fof(250,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)],[249]) ).
fof(251,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)],[250]) ).
cnf(252,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)],[251]) ).
cnf(253,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)],[251]) ).
cnf(261,negated_conjecture,
~ v1_xboole_0(esk14_0),
inference(spm,[status(thm)],[79,212,theory(equality)]) ).
cnf(267,negated_conjecture,
( v3_struct_0(esk13_0)
| u1_struct_0(esk13_0) != esk14_0
| ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,u1_struct_0(esk13_0))
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(spm,[status(thm)],[211,196,theory(equality)]) ).
cnf(268,negated_conjecture,
( v3_struct_0(esk13_0)
| u1_struct_0(esk13_0) != esk14_0
| ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,u1_struct_0(esk13_0))
| $false
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[267,216,theory(equality)]) ).
cnf(269,negated_conjecture,
( v3_struct_0(esk13_0)
| u1_struct_0(esk13_0) != esk14_0
| ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,u1_struct_0(esk13_0))
| $false
| $false ),
inference(rw,[status(thm)],[268,215,theory(equality)]) ).
cnf(270,negated_conjecture,
( v3_struct_0(esk13_0)
| u1_struct_0(esk13_0) != esk14_0
| ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,u1_struct_0(esk13_0)) ),
inference(cn,[status(thm)],[269,theory(equality)]) ).
cnf(271,negated_conjecture,
( u1_struct_0(esk13_0) != esk14_0
| ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,u1_struct_0(esk13_0)) ),
inference(sr,[status(thm)],[270,217,theory(equality)]) ).
cnf(285,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[186,109,theory(equality)]) ).
cnf(307,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[135,79]) ).
cnf(308,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| ~ v14_lattices(esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(spm,[status(thm)],[307,212,theory(equality)]) ).
cnf(310,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| $false
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(rw,[status(thm)],[308,213,theory(equality)]) ).
cnf(311,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| $false
| $false
| ~ l3_lattices(esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(rw,[status(thm)],[310,216,theory(equality)]) ).
cnf(312,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(rw,[status(thm)],[311,215,theory(equality)]) ).
cnf(313,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(cn,[status(thm)],[312,theory(equality)]) ).
cnf(314,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(sr,[status(thm)],[313,217,theory(equality)]) ).
cnf(354,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(spm,[status(thm)],[314,180,theory(equality)]) ).
cnf(355,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| $false
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[354,216,theory(equality)]) ).
cnf(356,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| $false
| $false ),
inference(rw,[status(thm)],[355,215,theory(equality)]) ).
cnf(357,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(cn,[status(thm)],[356,theory(equality)]) ).
cnf(358,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = u1_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(sr,[status(thm)],[357,217,theory(equality)]) ).
cnf(359,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(u1_struct_0(esk13_0),u1_struct_0(esk13_0),esk14_0)
| ~ m2_filter_2(esk14_0,esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(spm,[status(thm)],[162,358,theory(equality)]) ).
cnf(360,negated_conjecture,
( m2_filter_2(u1_struct_0(esk13_0),esk13_0)
| v3_struct_0(esk13_0)
| v1_xboole_0(esk14_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(spm,[status(thm)],[193,358,theory(equality)]) ).
cnf(362,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(u1_struct_0(esk13_0),u1_struct_0(esk13_0),esk14_0)
| $false
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(rw,[status(thm)],[359,214,theory(equality)]) ).
cnf(363,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(u1_struct_0(esk13_0),u1_struct_0(esk13_0),esk14_0)
| $false
| $false
| ~ l3_lattices(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(rw,[status(thm)],[362,216,theory(equality)]) ).
cnf(364,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(u1_struct_0(esk13_0),u1_struct_0(esk13_0),esk14_0)
| $false
| $false
| $false
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(rw,[status(thm)],[363,215,theory(equality)]) ).
cnf(365,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(u1_struct_0(esk13_0),u1_struct_0(esk13_0),esk14_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(cn,[status(thm)],[364,theory(equality)]) ).
cnf(366,negated_conjecture,
( r1_filter_2(u1_struct_0(esk13_0),u1_struct_0(esk13_0),esk14_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(sr,[status(thm)],[365,217,theory(equality)]) ).
cnf(367,negated_conjecture,
( m2_filter_2(u1_struct_0(esk13_0),esk13_0)
| v3_struct_0(esk13_0)
| v1_xboole_0(esk14_0)
| $false
| ~ l3_lattices(esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(rw,[status(thm)],[360,216,theory(equality)]) ).
cnf(368,negated_conjecture,
( m2_filter_2(u1_struct_0(esk13_0),esk13_0)
| v3_struct_0(esk13_0)
| v1_xboole_0(esk14_0)
| $false
| $false
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(rw,[status(thm)],[367,215,theory(equality)]) ).
cnf(369,negated_conjecture,
( m2_filter_2(u1_struct_0(esk13_0),esk13_0)
| v3_struct_0(esk13_0)
| v1_xboole_0(esk14_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(cn,[status(thm)],[368,theory(equality)]) ).
cnf(370,negated_conjecture,
( m2_filter_2(u1_struct_0(esk13_0),esk13_0)
| v1_xboole_0(esk14_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(sr,[status(thm)],[369,217,theory(equality)]) ).
cnf(371,negated_conjecture,
( m2_filter_2(u1_struct_0(esk13_0),esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(sr,[status(thm)],[370,261,theory(equality)]) ).
cnf(378,negated_conjecture,
( esk14_0 = u1_struct_0(esk13_0)
| v1_xboole_0(u1_struct_0(esk13_0))
| ~ m1_subset_1(u1_struct_0(esk13_0),k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(spm,[status(thm)],[84,366,theory(equality)]) ).
cnf(380,negated_conjecture,
( esk14_0 = u1_struct_0(esk13_0)
| v1_xboole_0(u1_struct_0(esk13_0))
| $false
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(rw,[status(thm)],[378,285,theory(equality)]) ).
cnf(381,negated_conjecture,
( esk14_0 = u1_struct_0(esk13_0)
| v1_xboole_0(u1_struct_0(esk13_0))
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(cn,[status(thm)],[380,theory(equality)]) ).
cnf(385,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(spm,[status(thm)],[253,371,theory(equality)]) ).
cnf(386,negated_conjecture,
( v3_struct_0(esk13_0)
| $false
| ~ l3_lattices(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(rw,[status(thm)],[385,216,theory(equality)]) ).
cnf(387,negated_conjecture,
( v3_struct_0(esk13_0)
| $false
| $false
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(rw,[status(thm)],[386,215,theory(equality)]) ).
cnf(388,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(cn,[status(thm)],[387,theory(equality)]) ).
cnf(389,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk13_0))
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(sr,[status(thm)],[388,217,theory(equality)]) ).
cnf(414,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(spm,[status(thm)],[389,180,theory(equality)]) ).
cnf(415,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| $false
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[414,216,theory(equality)]) ).
cnf(416,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| $false
| $false ),
inference(rw,[status(thm)],[415,215,theory(equality)]) ).
cnf(417,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0)) ),
inference(cn,[status(thm)],[416,theory(equality)]) ).
cnf(418,negated_conjecture,
( ~ m2_lattice4(esk14_0,esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0)) ),
inference(sr,[status(thm)],[417,217,theory(equality)]) ).
cnf(434,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| ~ m2_filter_2(esk14_0,esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(spm,[status(thm)],[418,252,theory(equality)]) ).
cnf(435,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| $false
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[434,214,theory(equality)]) ).
cnf(436,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| $false
| $false
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[435,216,theory(equality)]) ).
cnf(437,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[436,215,theory(equality)]) ).
cnf(438,negated_conjecture,
( v3_struct_0(esk13_0)
| ~ v1_xboole_0(u1_struct_0(esk13_0)) ),
inference(cn,[status(thm)],[437,theory(equality)]) ).
cnf(439,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk13_0)),
inference(sr,[status(thm)],[438,217,theory(equality)]) ).
cnf(444,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(sr,[status(thm)],[381,439,theory(equality)]) ).
cnf(445,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(spm,[status(thm)],[444,180,theory(equality)]) ).
cnf(446,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| $false
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[445,216,theory(equality)]) ).
cnf(447,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0)
| $false
| $false ),
inference(rw,[status(thm)],[446,215,theory(equality)]) ).
cnf(448,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(cn,[status(thm)],[447,theory(equality)]) ).
cnf(449,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| ~ m2_lattice4(esk14_0,esk13_0) ),
inference(sr,[status(thm)],[448,217,theory(equality)]) ).
cnf(450,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| ~ m2_filter_2(esk14_0,esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(spm,[status(thm)],[449,252,theory(equality)]) ).
cnf(451,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| $false
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[450,214,theory(equality)]) ).
cnf(452,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| $false
| $false
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[451,216,theory(equality)]) ).
cnf(453,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[452,215,theory(equality)]) ).
cnf(454,negated_conjecture,
( u1_struct_0(esk13_0) = esk14_0
| v3_struct_0(esk13_0) ),
inference(cn,[status(thm)],[453,theory(equality)]) ).
cnf(455,negated_conjecture,
u1_struct_0(esk13_0) = esk14_0,
inference(sr,[status(thm)],[454,217,theory(equality)]) ).
cnf(480,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = esk14_0
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0))) ),
inference(rw,[status(thm)],[314,455,theory(equality)]) ).
cnf(481,negated_conjecture,
( k19_filter_2(esk13_0,esk14_0) = esk14_0
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[480,455,theory(equality)]),285,theory(equality)]) ).
cnf(482,negated_conjecture,
k19_filter_2(esk13_0,esk14_0) = esk14_0,
inference(cn,[status(thm)],[481,theory(equality)]) ).
cnf(483,negated_conjecture,
( $false
| ~ r1_filter_2(u1_struct_0(esk13_0),esk14_0,u1_struct_0(esk13_0)) ),
inference(rw,[status(thm)],[271,455,theory(equality)]) ).
cnf(484,negated_conjecture,
( $false
| ~ r1_filter_2(esk14_0,esk14_0,esk14_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[483,455,theory(equality)]),455,theory(equality)]) ).
cnf(485,negated_conjecture,
~ r1_filter_2(esk14_0,esk14_0,esk14_0),
inference(cn,[status(thm)],[484,theory(equality)]) ).
cnf(519,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(u1_struct_0(esk13_0),esk14_0,esk14_0)
| ~ m2_filter_2(esk14_0,esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(spm,[status(thm)],[162,482,theory(equality)]) ).
cnf(522,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(esk14_0,esk14_0,esk14_0)
| ~ m2_filter_2(esk14_0,esk13_0)
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[519,455,theory(equality)]) ).
cnf(523,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(esk14_0,esk14_0,esk14_0)
| $false
| ~ v10_lattices(esk13_0)
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[522,214,theory(equality)]) ).
cnf(524,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(esk14_0,esk14_0,esk14_0)
| $false
| $false
| ~ l3_lattices(esk13_0) ),
inference(rw,[status(thm)],[523,216,theory(equality)]) ).
cnf(525,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(esk14_0,esk14_0,esk14_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[524,215,theory(equality)]) ).
cnf(526,negated_conjecture,
( v3_struct_0(esk13_0)
| r1_filter_2(esk14_0,esk14_0,esk14_0) ),
inference(cn,[status(thm)],[525,theory(equality)]) ).
cnf(527,negated_conjecture,
r1_filter_2(esk14_0,esk14_0,esk14_0),
inference(sr,[status(thm)],[526,217,theory(equality)]) ).
cnf(545,negated_conjecture,
$false,
inference(rw,[status(thm)],[485,527,theory(equality)]) ).
cnf(546,negated_conjecture,
$false,
inference(cn,[status(thm)],[545,theory(equality)]) ).
cnf(547,negated_conjecture,
$false,
546,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT313+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1fff_F/sel_LAT313+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT313+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT313+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT313+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
%
%------------------------------------------------------------------------------