%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT327+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 15:12:01 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 4
% Syntax : Number of formulae : 75 ( 11 unt; 0 def)
% Number of atoms : 488 ( 0 equ)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 663 ( 250 ~; 298 |; 85 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 85 ( 1 sgn 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(10,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
file('/tmp/tmpSFAVlt/sel_LAT327+1.p_1',reflexivity_r3_lattices) ).
fof(15,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X2,k22_filter_2(X1,X2,X3))
& r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
file('/tmp/tmpSFAVlt/sel_LAT327+1.p_1',t64_filter_2) ).
fof(19,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
file('/tmp/tmpSFAVlt/sel_LAT327+1.p_1',t63_filter_2) ).
fof(42,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/tmp/tmpSFAVlt/sel_LAT327+1.p_1',cc1_lattices) ).
fof(44,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X2,k22_filter_2(X1,X2,X3))
& r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(48,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(50,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X2,k22_filter_2(X1,X2,X3))
& r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(53,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).
fof(61,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(88,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| r3_lattices(X1,X2,X2) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(89,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| r3_lattices(X4,X5,X5) ),
inference(variable_rename,[status(thm)],[88]) ).
cnf(90,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(103,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r3_lattices(X1,X2,X3)
& ( ~ r2_hidden(X2,k22_filter_2(X1,X2,X3))
| ~ r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(104,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v10_lattices(X4)
& l3_lattices(X4)
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X4))
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X4))
& r3_lattices(X4,X5,X6)
& ( ~ r2_hidden(X5,k22_filter_2(X4,X5,X6))
| ~ r2_hidden(X6,k22_filter_2(X4,X5,X6)) ) ) ) ),
inference(variable_rename,[status(thm)],[103]) ).
fof(105,negated_conjecture,
( ~ v3_struct_0(esk3_0)
& v10_lattices(esk3_0)
& l3_lattices(esk3_0)
& m1_subset_1(esk4_0,u1_struct_0(esk3_0))
& m1_subset_1(esk5_0,u1_struct_0(esk3_0))
& r3_lattices(esk3_0,esk4_0,esk5_0)
& ( ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| ~ r2_hidden(esk5_0,k22_filter_2(esk3_0,esk4_0,esk5_0)) ) ),
inference(skolemize,[status(esa)],[104]) ).
cnf(106,negated_conjecture,
( ~ r2_hidden(esk5_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(107,negated_conjecture,
r3_lattices(esk3_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(108,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(109,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(110,negated_conjecture,
l3_lattices(esk3_0),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(111,negated_conjecture,
v10_lattices(esk3_0),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(112,negated_conjecture,
~ v3_struct_0(esk3_0),
inference(split_conjunct,[status(thm)],[105]) ).
fof(123,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ( ( ~ r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) )
& ( ~ r3_lattices(X1,X2,X4)
| ~ r3_lattices(X1,X4,X3)
| r2_hidden(X4,k22_filter_2(X1,X2,X3)) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(124,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X5))
| ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X5))
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ r3_lattices(X5,X6,X7)
| ( ( ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ( r3_lattices(X5,X6,X8)
& r3_lattices(X5,X8,X7) ) )
& ( ~ r3_lattices(X5,X6,X8)
| ~ r3_lattices(X5,X8,X7)
| r2_hidden(X8,k22_filter_2(X5,X6,X7)) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[123]) ).
fof(125,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ r3_lattices(X5,X6,X7)
| ( ( ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ( r3_lattices(X5,X6,X8)
& r3_lattices(X5,X8,X7) ) )
& ( ~ r3_lattices(X5,X6,X8)
| ~ r3_lattices(X5,X8,X7)
| r2_hidden(X8,k22_filter_2(X5,X6,X7)) ) )
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ),
inference(shift_quantors,[status(thm)],[124]) ).
fof(126,plain,
! [X5,X6,X7,X8] :
( ( r3_lattices(X5,X6,X8)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r3_lattices(X5,X8,X7)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r3_lattices(X5,X6,X8)
| ~ r3_lattices(X5,X8,X7)
| r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[125]) ).
cnf(127,plain,
( v3_struct_0(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[126]) ).
fof(204,plain,
! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(205,plain,
! [X2] :
( ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[204]) ).
fof(206,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[205]) ).
cnf(207,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(208,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(210,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(246,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v9_lattices(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ l3_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(spm,[status(thm)],[90,109,theory(equality)]) ).
cnf(249,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v9_lattices(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| $false
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[246,110,theory(equality)]) ).
cnf(250,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v9_lattices(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[249,theory(equality)]) ).
cnf(251,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| ~ v9_lattices(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(sr,[status(thm)],[250,112,theory(equality)]) ).
cnf(262,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| ~ v10_lattices(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| ~ r3_lattices(esk3_0,esk4_0,esk5_0)
| ~ l3_lattices(esk3_0)
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0)) ),
inference(spm,[status(thm)],[106,127,theory(equality)]) ).
cnf(265,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| $false
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| ~ r3_lattices(esk3_0,esk4_0,esk5_0)
| ~ l3_lattices(esk3_0)
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[262,111,theory(equality)]) ).
cnf(266,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| $false
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| ~ l3_lattices(esk3_0)
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[265,107,theory(equality)]) ).
cnf(267,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| $false
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| $false
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[266,110,theory(equality)]) ).
cnf(268,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| $false
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| $false
| $false
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[267,108,theory(equality)]) ).
cnf(269,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| $false
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[268,109,theory(equality)]) ).
cnf(270,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| ~ r3_lattices(esk3_0,esk5_0,esk5_0) ),
inference(cn,[status(thm)],[269,theory(equality)]) ).
cnf(271,negated_conjecture,
( ~ r2_hidden(esk4_0,k22_filter_2(esk3_0,esk4_0,esk5_0))
| ~ r3_lattices(esk3_0,esk5_0,esk5_0) ),
inference(sr,[status(thm)],[270,112,theory(equality)]) ).
cnf(281,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| ~ v10_lattices(esk3_0)
| ~ r3_lattices(esk3_0,esk4_0,esk5_0)
| ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| ~ l3_lattices(esk3_0)
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0)) ),
inference(spm,[status(thm)],[271,127,theory(equality)]) ).
cnf(282,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| ~ r3_lattices(esk3_0,esk4_0,esk5_0)
| ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| ~ l3_lattices(esk3_0)
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[281,111,theory(equality)]) ).
cnf(283,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| $false
| ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| ~ l3_lattices(esk3_0)
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[282,107,theory(equality)]) ).
cnf(284,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| $false
| ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| $false
| ~ m1_subset_1(esk4_0,u1_struct_0(esk3_0))
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[283,110,theory(equality)]) ).
cnf(285,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| $false
| ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| $false
| $false
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0)) ),
inference(rw,[status(thm)],[284,109,theory(equality)]) ).
cnf(286,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| $false
| $false
| ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[285,108,theory(equality)]) ).
cnf(287,negated_conjecture,
( v3_struct_0(esk3_0)
| ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| ~ r3_lattices(esk3_0,esk4_0,esk4_0) ),
inference(cn,[status(thm)],[286,theory(equality)]) ).
cnf(288,negated_conjecture,
( ~ r3_lattices(esk3_0,esk5_0,esk5_0)
| ~ r3_lattices(esk3_0,esk4_0,esk4_0) ),
inference(sr,[status(thm)],[287,112,theory(equality)]) ).
cnf(370,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| ~ v10_lattices(esk3_0)
| ~ l3_lattices(esk3_0) ),
inference(spm,[status(thm)],[251,207,theory(equality)]) ).
cnf(371,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| $false
| ~ l3_lattices(esk3_0) ),
inference(rw,[status(thm)],[370,111,theory(equality)]) ).
cnf(372,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[371,110,theory(equality)]) ).
cnf(373,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[372,theory(equality)]) ).
cnf(374,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| ~ v8_lattices(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(sr,[status(thm)],[373,112,theory(equality)]) ).
cnf(375,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| ~ v10_lattices(esk3_0)
| ~ l3_lattices(esk3_0) ),
inference(spm,[status(thm)],[374,208,theory(equality)]) ).
cnf(376,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| $false
| ~ l3_lattices(esk3_0) ),
inference(rw,[status(thm)],[375,111,theory(equality)]) ).
cnf(377,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[376,110,theory(equality)]) ).
cnf(378,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[377,theory(equality)]) ).
cnf(379,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| ~ v6_lattices(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(sr,[status(thm)],[378,112,theory(equality)]) ).
cnf(380,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| ~ v10_lattices(esk3_0)
| ~ l3_lattices(esk3_0) ),
inference(spm,[status(thm)],[379,210,theory(equality)]) ).
cnf(381,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| $false
| ~ l3_lattices(esk3_0) ),
inference(rw,[status(thm)],[380,111,theory(equality)]) ).
cnf(382,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[381,110,theory(equality)]) ).
cnf(383,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| v3_struct_0(esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[382,theory(equality)]) ).
cnf(384,negated_conjecture,
( r3_lattices(esk3_0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
inference(sr,[status(thm)],[383,112,theory(equality)]) ).
cnf(385,negated_conjecture,
( ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| ~ m1_subset_1(esk5_0,u1_struct_0(esk3_0)) ),
inference(spm,[status(thm)],[288,384,theory(equality)]) ).
cnf(386,negated_conjecture,
( ~ r3_lattices(esk3_0,esk4_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[385,108,theory(equality)]) ).
cnf(387,negated_conjecture,
~ r3_lattices(esk3_0,esk4_0,esk4_0),
inference(cn,[status(thm)],[386,theory(equality)]) ).
cnf(399,negated_conjecture,
~ m1_subset_1(esk4_0,u1_struct_0(esk3_0)),
inference(spm,[status(thm)],[387,384,theory(equality)]) ).
cnf(400,negated_conjecture,
$false,
inference(rw,[status(thm)],[399,109,theory(equality)]) ).
cnf(401,negated_conjecture,
$false,
inference(cn,[status(thm)],[400,theory(equality)]) ).
cnf(402,negated_conjecture,
$false,
401,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT327+1.p
% --creating new selector for []
% -running prover on /tmp/tmpSFAVlt/sel_LAT327+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT327+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT327+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT327+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
%
%------------------------------------------------------------------------------