TSTP Solution File: LAT319+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT319+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 14:53:42 EST 2010
% Result : Theorem 0.31s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 9
% Syntax : Number of formulae : 152 ( 9 unt; 0 def)
% Number of atoms : 1136 ( 0 equ)
% Maximal formula atoms : 70 ( 7 avg)
% Number of connectives : 1541 ( 557 ~; 694 |; 260 &)
% ( 8 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 74 ( 0 sgn 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',t54_filter_2) ).
fof(18,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',t65_lattice2) ).
fof(33,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',cc5_lattices) ).
fof(56,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',fc1_lattice2) ).
fof(57,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',t53_filter_2) ).
fof(59,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',dt_k1_lattice2) ).
fof(64,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',fc6_lattice2) ).
fof(73,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('/tmp/tmpag1L1m/sel_LAT319+1.p_1',cc6_lattices) ).
fof(78,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(79,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[78,theory(equality)]) ).
fof(86,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(94,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).
fof(100,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(101,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[57,theory(equality)]) ).
fof(105,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[64,theory(equality)]) ).
fof(109,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[73,theory(equality)]) ).
fof(111,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
introduced(definition) ).
fof(112,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(esa)],[101,111,theory(equality)]) ).
fof(114,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) )
& ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
| ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(115,negated_conjecture,
? [X2] :
( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& ( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v17_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2)) )
& ( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v17_lattices(X2)
& l3_lattices(X2) )
| ( ~ v3_struct_0(k1_lattice2(X2))
& v10_lattices(k1_lattice2(X2))
& v17_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ) ),
inference(variable_rename,[status(thm)],[114]) ).
fof(116,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ( v3_struct_0(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) )
& ( ( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0) )
| ( ~ v3_struct_0(k1_lattice2(esk1_0))
& v10_lattices(k1_lattice2(esk1_0))
& v17_lattices(k1_lattice2(esk1_0))
& l3_lattices(k1_lattice2(esk1_0)) ) ) ),
inference(skolemize,[status(esa)],[115]) ).
fof(117,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ( v3_struct_0(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) ) ),
inference(distribute,[status(thm)],[116]) ).
cnf(122,negated_conjecture,
( v17_lattices(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(123,negated_conjecture,
( v17_lattices(esk1_0)
| v17_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(124,negated_conjecture,
( v17_lattices(esk1_0)
| v10_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(125,negated_conjecture,
( v17_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(134,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(135,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(136,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(137,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[117]) ).
fof(198,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) )
& ( v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& l3_lattices(X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[86]) ).
fof(199,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v10_lattices(k1_lattice2(X2))
& v11_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) )
& ( v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v11_lattices(X2)
& l3_lattices(X2) ) ) ) ),
inference(variable_rename,[status(thm)],[198]) ).
fof(200,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( ~ v3_struct_0(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( l3_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[199]) ).
cnf(202,plain,
( v3_struct_0(X1)
| v3_struct_0(k1_lattice2(X1))
| v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(206,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[200]) ).
fof(297,plain,
! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[94]) ).
fof(298,plain,
! [X2] :
( ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ( ~ v3_struct_0(X2)
& v11_lattices(X2)
& v13_lattices(X2)
& v14_lattices(X2)
& v15_lattices(X2)
& v16_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[297]) ).
fof(299,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v13_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v15_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v16_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[298]) ).
cnf(300,plain,
( v3_struct_0(X1)
| v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[299]) ).
cnf(301,plain,
( v3_struct_0(X1)
| v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[299]) ).
cnf(304,plain,
( v3_struct_0(X1)
| v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[299]) ).
fof(385,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(386,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[385]) ).
fof(387,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[386]) ).
cnf(389,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[387]) ).
fof(390,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| epred1_1(X1) ),
inference(fof_nnf,[status(thm)],[112]) ).
fof(391,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| epred1_1(X2) ),
inference(variable_rename,[status(thm)],[390]) ).
cnf(392,plain,
( epred1_1(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[391]) ).
fof(396,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(397,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( v3_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[396]) ).
fof(398,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[397]) ).
cnf(399,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[398]) ).
fof(454,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[105]) ).
fof(455,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2))
& v4_lattices(k1_lattice2(X2))
& v5_lattices(k1_lattice2(X2))
& v6_lattices(k1_lattice2(X2))
& v7_lattices(k1_lattice2(X2))
& v8_lattices(k1_lattice2(X2))
& v9_lattices(k1_lattice2(X2))
& v10_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[454]) ).
fof(456,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[455]) ).
cnf(457,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[456]) ).
fof(499,plain,
! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[109]) ).
fof(500,plain,
! [X2] :
( ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ( ~ v3_struct_0(X2)
& v17_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[499]) ).
fof(501,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) )
& ( v17_lattices(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[500]) ).
cnf(502,plain,
( v3_struct_0(X1)
| v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[501]) ).
fof(522,plain,
! [X1] :
( ~ epred1_1(X1)
| ( ( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) )
& ( v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[111]) ).
fof(523,plain,
! [X2] :
( ~ epred1_1(X2)
| ( ( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v10_lattices(k1_lattice2(X2))
& v15_lattices(k1_lattice2(X2))
& v16_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) )
& ( v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v15_lattices(X2)
& v16_lattices(X2)
& l3_lattices(X2) ) ) ) ),
inference(variable_rename,[status(thm)],[522]) ).
fof(524,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( v15_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( v16_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( ~ v3_struct_0(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( v10_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( v15_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( v16_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( l3_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) ) ),
inference(distribute,[status(thm)],[523]) ).
cnf(526,plain,
( v3_struct_0(k1_lattice2(X1))
| v16_lattices(X1)
| ~ epred1_1(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[524]) ).
cnf(527,plain,
( v3_struct_0(k1_lattice2(X1))
| v15_lattices(X1)
| ~ epred1_1(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[524]) ).
cnf(531,plain,
( v3_struct_0(X1)
| v16_lattices(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[524]) ).
cnf(532,plain,
( v3_struct_0(X1)
| v15_lattices(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[524]) ).
cnf(562,negated_conjecture,
( v3_struct_0(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| $false
| ~ l3_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[134,136,theory(equality)]) ).
cnf(563,negated_conjecture,
( v3_struct_0(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| $false
| $false
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[562,135,theory(equality)]) ).
cnf(564,negated_conjecture,
( v3_struct_0(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[563,theory(equality)]) ).
cnf(565,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[564,137,theory(equality)]) ).
cnf(664,plain,
( v11_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[202,399]) ).
cnf(665,plain,
( v11_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[664,457]) ).
cnf(666,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[665,389]) ).
cnf(667,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[666,304,theory(equality)]) ).
cnf(669,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[532,392]) ).
cnf(670,plain,
( v16_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[531,392]) ).
cnf(671,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[502,670,theory(equality)]) ).
cnf(727,plain,
( v15_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[527,300,theory(equality)]) ).
cnf(729,plain,
( v16_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[526,300,theory(equality)]) ).
cnf(861,plain,
( v11_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[667,399]) ).
cnf(862,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[861,389]) ).
cnf(863,negated_conjecture,
( v11_lattices(esk1_0)
| v3_struct_0(esk1_0)
| v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[862,123,theory(equality)]) ).
cnf(864,negated_conjecture,
( v11_lattices(esk1_0)
| v3_struct_0(esk1_0)
| v17_lattices(esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[863,135,theory(equality)]) ).
cnf(865,negated_conjecture,
( v11_lattices(esk1_0)
| v3_struct_0(esk1_0)
| v17_lattices(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[864,136,theory(equality)]) ).
cnf(866,negated_conjecture,
( v11_lattices(esk1_0)
| v3_struct_0(esk1_0)
| v17_lattices(esk1_0) ),
inference(cn,[status(thm)],[865,theory(equality)]) ).
cnf(867,negated_conjecture,
( v11_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(sr,[status(thm)],[866,137,theory(equality)]) ).
cnf(979,plain,
( v15_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(csr,[status(thm)],[727,301]) ).
cnf(980,negated_conjecture,
( v15_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| v17_lattices(esk1_0)
| ~ epred1_1(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[979,123,theory(equality)]) ).
cnf(981,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ epred1_1(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[980,124]) ).
cnf(982,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ epred1_1(esk1_0) ),
inference(csr,[status(thm)],[981,122]) ).
cnf(983,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0)
| ~ epred1_1(esk1_0) ),
inference(csr,[status(thm)],[982,125]) ).
cnf(984,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[983,392,theory(equality)]) ).
cnf(985,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[984,135,theory(equality)]) ).
cnf(986,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[985,136,theory(equality)]) ).
cnf(987,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[986,theory(equality)]) ).
cnf(988,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(sr,[status(thm)],[987,137,theory(equality)]) ).
cnf(989,negated_conjecture,
( v15_lattices(esk1_0)
| v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[301,988,theory(equality)]) ).
cnf(990,negated_conjecture,
( v15_lattices(esk1_0)
| v3_struct_0(esk1_0)
| $false ),
inference(rw,[status(thm)],[989,135,theory(equality)]) ).
cnf(991,negated_conjecture,
( v15_lattices(esk1_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[990,theory(equality)]) ).
cnf(992,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[991,137,theory(equality)]) ).
cnf(1001,plain,
( v16_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(csr,[status(thm)],[729,301]) ).
cnf(1002,negated_conjecture,
( v16_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| v17_lattices(esk1_0)
| ~ epred1_1(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[1001,123,theory(equality)]) ).
cnf(1003,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ epred1_1(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[1002,124]) ).
cnf(1004,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ epred1_1(esk1_0) ),
inference(csr,[status(thm)],[1003,122]) ).
cnf(1005,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0)
| ~ epred1_1(esk1_0) ),
inference(csr,[status(thm)],[1004,125]) ).
cnf(1006,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[1005,392,theory(equality)]) ).
cnf(1007,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[1006,135,theory(equality)]) ).
cnf(1008,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[1007,136,theory(equality)]) ).
cnf(1009,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[1008,theory(equality)]) ).
cnf(1010,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(sr,[status(thm)],[1009,137,theory(equality)]) ).
cnf(1011,negated_conjecture,
( v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ v15_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[502,1010,theory(equality)]) ).
cnf(1012,negated_conjecture,
( v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0)
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[1011,992,theory(equality)]) ).
cnf(1013,negated_conjecture,
( v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[1012,135,theory(equality)]) ).
cnf(1014,negated_conjecture,
( v17_lattices(esk1_0)
| v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(cn,[status(thm)],[1013,theory(equality)]) ).
cnf(1015,negated_conjecture,
( v17_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(sr,[status(thm)],[1014,137,theory(equality)]) ).
cnf(1016,negated_conjecture,
v17_lattices(esk1_0),
inference(csr,[status(thm)],[1015,867]) ).
cnf(1021,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| $false
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[565,1016,theory(equality)]) ).
cnf(1022,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[1021,theory(equality)]) ).
cnf(1052,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[671,399]) ).
cnf(1053,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1052,669]) ).
cnf(1054,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1053,389]) ).
cnf(1056,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1) ),
inference(spm,[status(thm)],[1054,206,theory(equality)]) ).
cnf(1070,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ v15_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[1022,1056,theory(equality)]) ).
cnf(1071,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| $false
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[1070,992,theory(equality)]) ).
cnf(1072,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| $false
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[1071,135,theory(equality)]) ).
cnf(1073,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1072,136,theory(equality)]) ).
cnf(1074,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(cn,[status(thm)],[1073,theory(equality)]) ).
cnf(1075,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(sr,[status(thm)],[1074,137,theory(equality)]) ).
cnf(1076,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(spm,[status(thm)],[1075,457,theory(equality)]) ).
cnf(1077,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| $false
| ~ v10_lattices(esk1_0) ),
inference(rw,[status(thm)],[1076,135,theory(equality)]) ).
cnf(1078,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[1077,136,theory(equality)]) ).
cnf(1079,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[1078,theory(equality)]) ).
cnf(1080,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[1079,137,theory(equality)]) ).
cnf(1089,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[1080,399,theory(equality)]) ).
cnf(1090,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| $false ),
inference(rw,[status(thm)],[1089,135,theory(equality)]) ).
cnf(1091,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(cn,[status(thm)],[1090,theory(equality)]) ).
cnf(1092,plain,
( v3_struct_0(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(spm,[status(thm)],[389,1091,theory(equality)]) ).
cnf(1093,plain,
( v3_struct_0(esk1_0)
| $false
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(rw,[status(thm)],[1092,135,theory(equality)]) ).
cnf(1094,plain,
( v3_struct_0(esk1_0)
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(cn,[status(thm)],[1093,theory(equality)]) ).
cnf(1095,plain,
( ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(sr,[status(thm)],[1094,137,theory(equality)]) ).
cnf(1096,plain,
( v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[1095,300,theory(equality)]) ).
cnf(1097,plain,
( v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0)
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[1096,1016,theory(equality)]) ).
cnf(1098,plain,
( v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[1097,135,theory(equality)]) ).
cnf(1099,plain,
( v3_struct_0(esk1_0)
| ~ v11_lattices(esk1_0) ),
inference(cn,[status(thm)],[1098,theory(equality)]) ).
cnf(1100,plain,
~ v11_lattices(esk1_0),
inference(sr,[status(thm)],[1099,137,theory(equality)]) ).
cnf(1101,plain,
( v3_struct_0(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[1100,304,theory(equality)]) ).
cnf(1102,plain,
( v3_struct_0(esk1_0)
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[1101,1016,theory(equality)]) ).
cnf(1103,plain,
( v3_struct_0(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[1102,135,theory(equality)]) ).
cnf(1104,plain,
v3_struct_0(esk1_0),
inference(cn,[status(thm)],[1103,theory(equality)]) ).
cnf(1105,plain,
$false,
inference(sr,[status(thm)],[1104,137,theory(equality)]) ).
cnf(1106,plain,
$false,
1105,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT319+1.p
% --creating new selector for []
% -running prover on /tmp/tmpag1L1m/sel_LAT319+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT319+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT319+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT319+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
%
%------------------------------------------------------------------------------