%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU245+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 06:12:40 EST 2010
% Result : Theorem 21.86s
% Output : CNFRefutation 21.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 73 ( 13 unt; 0 def)
% Number of atoms : 338 ( 46 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 421 ( 156 ~; 175 |; 77 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 150 ( 5 sgn 92 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(10,axiom,
! [X1] :
( relation(X1)
=> ! [X2] : relation_restriction(X1,X2) = set_intersection2(X1,cartesian_product2(X2,X2)) ),
file('/tmp/tmp8VlIHJ/sel_SEU245+2.p_1',d6_wellord1) ).
fof(101,axiom,
! [X1,X2] : subset(set_difference(X1,X2),X1),
file('/tmp/tmp8VlIHJ/sel_SEU245+2.p_1',t36_xboole_1) ).
fof(119,axiom,
! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
file('/tmp/tmp8VlIHJ/sel_SEU245+2.p_1',t48_xboole_1) ).
fof(141,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/tmp/tmp8VlIHJ/sel_SEU245+2.p_1',d3_tarski) ).
fof(247,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_restriction(X3,X2))
<=> ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) ) ),
file('/tmp/tmp8VlIHJ/sel_SEU245+2.p_1',t16_wellord1) ).
fof(270,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/tmp/tmp8VlIHJ/sel_SEU245+2.p_1',d4_xboole_0) ).
fof(297,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/tmp/tmp8VlIHJ/sel_SEU245+2.p_1',d3_xboole_0) ).
fof(303,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_restriction(X3,X2))
<=> ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) ) ),
inference(assume_negation,[status(cth)],[247]) ).
fof(338,plain,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[270,theory(equality)]) ).
fof(373,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] : relation_restriction(X1,X2) = set_intersection2(X1,cartesian_product2(X2,X2)) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(374,plain,
! [X3] :
( ~ relation(X3)
| ! [X4] : relation_restriction(X3,X4) = set_intersection2(X3,cartesian_product2(X4,X4)) ),
inference(variable_rename,[status(thm)],[373]) ).
fof(375,plain,
! [X3,X4] :
( relation_restriction(X3,X4) = set_intersection2(X3,cartesian_product2(X4,X4))
| ~ relation(X3) ),
inference(shift_quantors,[status(thm)],[374]) ).
cnf(376,plain,
( relation_restriction(X1,X2) = set_intersection2(X1,cartesian_product2(X2,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[375]) ).
fof(769,plain,
! [X3,X4] : subset(set_difference(X3,X4),X3),
inference(variable_rename,[status(thm)],[101]) ).
cnf(770,plain,
subset(set_difference(X1,X2),X1),
inference(split_conjunct,[status(thm)],[769]) ).
fof(865,plain,
! [X3,X4] : set_difference(X3,set_difference(X3,X4)) = set_intersection2(X3,X4),
inference(variable_rename,[status(thm)],[119]) ).
cnf(866,plain,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(split_conjunct,[status(thm)],[865]) ).
fof(952,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ in(X3,X1)
| in(X3,X2) ) )
& ( ? [X3] :
( in(X3,X1)
& ~ in(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[141]) ).
fof(953,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ? [X7] :
( in(X7,X4)
& ~ in(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[952]) ).
fof(954,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ( in(esk53_2(X4,X5),X4)
& ~ in(esk53_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[953]) ).
fof(955,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( ( in(esk53_2(X4,X5),X4)
& ~ in(esk53_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[954]) ).
fof(956,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( in(esk53_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk53_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[955]) ).
cnf(959,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[956]) ).
fof(1452,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& ( ~ in(X1,relation_restriction(X3,X2))
| ~ in(X1,X3)
| ~ in(X1,cartesian_product2(X2,X2)) )
& ( in(X1,relation_restriction(X3,X2))
| ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[303]) ).
fof(1453,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& ( ~ in(X4,relation_restriction(X6,X5))
| ~ in(X4,X6)
| ~ in(X4,cartesian_product2(X5,X5)) )
& ( in(X4,relation_restriction(X6,X5))
| ( in(X4,X6)
& in(X4,cartesian_product2(X5,X5)) ) ) ),
inference(variable_rename,[status(thm)],[1452]) ).
fof(1454,negated_conjecture,
( relation(esk97_0)
& ( ~ in(esk95_0,relation_restriction(esk97_0,esk96_0))
| ~ in(esk95_0,esk97_0)
| ~ in(esk95_0,cartesian_product2(esk96_0,esk96_0)) )
& ( in(esk95_0,relation_restriction(esk97_0,esk96_0))
| ( in(esk95_0,esk97_0)
& in(esk95_0,cartesian_product2(esk96_0,esk96_0)) ) ) ),
inference(skolemize,[status(esa)],[1453]) ).
fof(1455,negated_conjecture,
( relation(esk97_0)
& ( ~ in(esk95_0,relation_restriction(esk97_0,esk96_0))
| ~ in(esk95_0,esk97_0)
| ~ in(esk95_0,cartesian_product2(esk96_0,esk96_0)) )
& ( in(esk95_0,esk97_0)
| in(esk95_0,relation_restriction(esk97_0,esk96_0)) )
& ( in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| in(esk95_0,relation_restriction(esk97_0,esk96_0)) ) ),
inference(distribute,[status(thm)],[1454]) ).
cnf(1456,negated_conjecture,
( in(esk95_0,relation_restriction(esk97_0,esk96_0))
| in(esk95_0,cartesian_product2(esk96_0,esk96_0)) ),
inference(split_conjunct,[status(thm)],[1455]) ).
cnf(1457,negated_conjecture,
( in(esk95_0,relation_restriction(esk97_0,esk96_0))
| in(esk95_0,esk97_0) ),
inference(split_conjunct,[status(thm)],[1455]) ).
cnf(1458,negated_conjecture,
( ~ in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| ~ in(esk95_0,esk97_0)
| ~ in(esk95_0,relation_restriction(esk97_0,esk96_0)) ),
inference(split_conjunct,[status(thm)],[1455]) ).
cnf(1459,negated_conjecture,
relation(esk97_0),
inference(split_conjunct,[status(thm)],[1455]) ).
fof(1558,plain,
! [X1,X2,X3] :
( ( X3 != set_difference(X1,X2)
| ! [X4] :
( ( ~ in(X4,X3)
| ( in(X4,X1)
& ~ in(X4,X2) ) )
& ( ~ in(X4,X1)
| in(X4,X2)
| in(X4,X3) ) ) )
& ( ? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,X1)
| in(X4,X2) )
& ( in(X4,X3)
| ( in(X4,X1)
& ~ in(X4,X2) ) ) )
| X3 = set_difference(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[338]) ).
fof(1559,plain,
! [X5,X6,X7] :
( ( X7 != set_difference(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,X5)
& ~ in(X8,X6) ) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7) ) ) )
& ( ? [X9] :
( ( ~ in(X9,X7)
| ~ in(X9,X5)
| in(X9,X6) )
& ( in(X9,X7)
| ( in(X9,X5)
& ~ in(X9,X6) ) ) )
| X7 = set_difference(X5,X6) ) ),
inference(variable_rename,[status(thm)],[1558]) ).
fof(1560,plain,
! [X5,X6,X7] :
( ( X7 != set_difference(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,X5)
& ~ in(X8,X6) ) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7) ) ) )
& ( ( ( ~ in(esk105_3(X5,X6,X7),X7)
| ~ in(esk105_3(X5,X6,X7),X5)
| in(esk105_3(X5,X6,X7),X6) )
& ( in(esk105_3(X5,X6,X7),X7)
| ( in(esk105_3(X5,X6,X7),X5)
& ~ in(esk105_3(X5,X6,X7),X6) ) ) )
| X7 = set_difference(X5,X6) ) ),
inference(skolemize,[status(esa)],[1559]) ).
fof(1561,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ in(X8,X7)
| ( in(X8,X5)
& ~ in(X8,X6) ) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7) ) )
| X7 != set_difference(X5,X6) )
& ( ( ( ~ in(esk105_3(X5,X6,X7),X7)
| ~ in(esk105_3(X5,X6,X7),X5)
| in(esk105_3(X5,X6,X7),X6) )
& ( in(esk105_3(X5,X6,X7),X7)
| ( in(esk105_3(X5,X6,X7),X5)
& ~ in(esk105_3(X5,X6,X7),X6) ) ) )
| X7 = set_difference(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[1560]) ).
fof(1562,plain,
! [X5,X6,X7,X8] :
( ( in(X8,X5)
| ~ in(X8,X7)
| X7 != set_difference(X5,X6) )
& ( ~ in(X8,X6)
| ~ in(X8,X7)
| X7 != set_difference(X5,X6) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7)
| X7 != set_difference(X5,X6) )
& ( ~ in(esk105_3(X5,X6,X7),X7)
| ~ in(esk105_3(X5,X6,X7),X5)
| in(esk105_3(X5,X6,X7),X6)
| X7 = set_difference(X5,X6) )
& ( in(esk105_3(X5,X6,X7),X5)
| in(esk105_3(X5,X6,X7),X7)
| X7 = set_difference(X5,X6) )
& ( ~ in(esk105_3(X5,X6,X7),X6)
| in(esk105_3(X5,X6,X7),X7)
| X7 = set_difference(X5,X6) ) ),
inference(distribute,[status(thm)],[1561]) ).
cnf(1566,plain,
( in(X4,X1)
| in(X4,X3)
| X1 != set_difference(X2,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[1562]) ).
cnf(1567,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
inference(split_conjunct,[status(thm)],[1562]) ).
fof(1704,plain,
! [X1,X2,X3] :
( ( X3 != set_intersection2(X1,X2)
| ! [X4] :
( ( ~ in(X4,X3)
| ( in(X4,X1)
& in(X4,X2) ) )
& ( ~ in(X4,X1)
| ~ in(X4,X2)
| in(X4,X3) ) ) )
& ( ? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,X1)
| ~ in(X4,X2) )
& ( in(X4,X3)
| ( in(X4,X1)
& in(X4,X2) ) ) )
| X3 = set_intersection2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[297]) ).
fof(1705,plain,
! [X5,X6,X7] :
( ( X7 != set_intersection2(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,X5)
& in(X8,X6) ) )
& ( ~ in(X8,X5)
| ~ in(X8,X6)
| in(X8,X7) ) ) )
& ( ? [X9] :
( ( ~ in(X9,X7)
| ~ in(X9,X5)
| ~ in(X9,X6) )
& ( in(X9,X7)
| ( in(X9,X5)
& in(X9,X6) ) ) )
| X7 = set_intersection2(X5,X6) ) ),
inference(variable_rename,[status(thm)],[1704]) ).
fof(1706,plain,
! [X5,X6,X7] :
( ( X7 != set_intersection2(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,X5)
& in(X8,X6) ) )
& ( ~ in(X8,X5)
| ~ in(X8,X6)
| in(X8,X7) ) ) )
& ( ( ( ~ in(esk117_3(X5,X6,X7),X7)
| ~ in(esk117_3(X5,X6,X7),X5)
| ~ in(esk117_3(X5,X6,X7),X6) )
& ( in(esk117_3(X5,X6,X7),X7)
| ( in(esk117_3(X5,X6,X7),X5)
& in(esk117_3(X5,X6,X7),X6) ) ) )
| X7 = set_intersection2(X5,X6) ) ),
inference(skolemize,[status(esa)],[1705]) ).
fof(1707,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ in(X8,X7)
| ( in(X8,X5)
& in(X8,X6) ) )
& ( ~ in(X8,X5)
| ~ in(X8,X6)
| in(X8,X7) ) )
| X7 != set_intersection2(X5,X6) )
& ( ( ( ~ in(esk117_3(X5,X6,X7),X7)
| ~ in(esk117_3(X5,X6,X7),X5)
| ~ in(esk117_3(X5,X6,X7),X6) )
& ( in(esk117_3(X5,X6,X7),X7)
| ( in(esk117_3(X5,X6,X7),X5)
& in(esk117_3(X5,X6,X7),X6) ) ) )
| X7 = set_intersection2(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[1706]) ).
fof(1708,plain,
! [X5,X6,X7,X8] :
( ( in(X8,X5)
| ~ in(X8,X7)
| X7 != set_intersection2(X5,X6) )
& ( in(X8,X6)
| ~ in(X8,X7)
| X7 != set_intersection2(X5,X6) )
& ( ~ in(X8,X5)
| ~ in(X8,X6)
| in(X8,X7)
| X7 != set_intersection2(X5,X6) )
& ( ~ in(esk117_3(X5,X6,X7),X7)
| ~ in(esk117_3(X5,X6,X7),X5)
| ~ in(esk117_3(X5,X6,X7),X6)
| X7 = set_intersection2(X5,X6) )
& ( in(esk117_3(X5,X6,X7),X5)
| in(esk117_3(X5,X6,X7),X7)
| X7 = set_intersection2(X5,X6) )
& ( in(esk117_3(X5,X6,X7),X6)
| in(esk117_3(X5,X6,X7),X7)
| X7 = set_intersection2(X5,X6) ) ),
inference(distribute,[status(thm)],[1707]) ).
cnf(1712,plain,
( in(X4,X1)
| X1 != set_intersection2(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[1708]) ).
cnf(1800,plain,
( set_difference(X1,set_difference(X1,cartesian_product2(X2,X2))) = relation_restriction(X1,X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[376,866,theory(equality)]),
[unfolding] ).
cnf(1809,plain,
( in(X4,X1)
| set_difference(X2,set_difference(X2,X3)) != X1
| ~ in(X4,X3)
| ~ in(X4,X2) ),
inference(rw,[status(thm)],[1712,866,theory(equality)]),
[unfolding] ).
cnf(2180,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(spm,[status(thm)],[959,770,theory(equality)]) ).
cnf(2360,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(er,[status(thm)],[1567,theory(equality)]) ).
cnf(2990,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[1566,theory(equality)]) ).
cnf(3110,negated_conjecture,
( in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| in(esk95_0,set_difference(esk97_0,set_difference(esk97_0,cartesian_product2(esk96_0,esk96_0))))
| ~ relation(esk97_0) ),
inference(spm,[status(thm)],[1456,1800,theory(equality)]) ).
cnf(3134,negated_conjecture,
( in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| in(esk95_0,set_difference(esk97_0,set_difference(esk97_0,cartesian_product2(esk96_0,esk96_0))))
| $false ),
inference(rw,[status(thm)],[3110,1459,theory(equality)]) ).
cnf(3135,negated_conjecture,
( in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| in(esk95_0,set_difference(esk97_0,set_difference(esk97_0,cartesian_product2(esk96_0,esk96_0)))) ),
inference(cn,[status(thm)],[3134,theory(equality)]) ).
cnf(3925,plain,
( in(X1,X2)
| relation_restriction(X3,X4) != X2
| ~ in(X1,cartesian_product2(X4,X4))
| ~ in(X1,X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[1809,1800,theory(equality)]) ).
cnf(15066,plain,
( in(X1,X2)
| ~ in(X1,relation_restriction(X2,X3))
| ~ relation(X2) ),
inference(spm,[status(thm)],[2180,1800,theory(equality)]) ).
cnf(15170,negated_conjecture,
( in(esk95_0,esk97_0)
| ~ relation(esk97_0) ),
inference(spm,[status(thm)],[15066,1457,theory(equality)]) ).
cnf(15265,negated_conjecture,
( in(esk95_0,esk97_0)
| $false ),
inference(rw,[status(thm)],[15170,1459,theory(equality)]) ).
cnf(15266,negated_conjecture,
in(esk95_0,esk97_0),
inference(cn,[status(thm)],[15265,theory(equality)]) ).
cnf(15292,negated_conjecture,
( ~ in(esk95_0,relation_restriction(esk97_0,esk96_0))
| ~ in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| $false ),
inference(rw,[status(thm)],[1458,15266,theory(equality)]) ).
cnf(15293,negated_conjecture,
( ~ in(esk95_0,relation_restriction(esk97_0,esk96_0))
| ~ in(esk95_0,cartesian_product2(esk96_0,esk96_0)) ),
inference(cn,[status(thm)],[15292,theory(equality)]) ).
cnf(72877,negated_conjecture,
( in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| ~ in(esk95_0,set_difference(esk97_0,cartesian_product2(esk96_0,esk96_0))) ),
inference(spm,[status(thm)],[2360,3135,theory(equality)]) ).
cnf(73510,negated_conjecture,
~ in(esk95_0,set_difference(esk97_0,cartesian_product2(esk96_0,esk96_0))),
inference(csr,[status(thm)],[72877,2360]) ).
cnf(73521,negated_conjecture,
( in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| ~ in(esk95_0,esk97_0) ),
inference(spm,[status(thm)],[73510,2990,theory(equality)]) ).
cnf(73530,negated_conjecture,
( in(esk95_0,cartesian_product2(esk96_0,esk96_0))
| $false ),
inference(rw,[status(thm)],[73521,15266,theory(equality)]) ).
cnf(73531,negated_conjecture,
in(esk95_0,cartesian_product2(esk96_0,esk96_0)),
inference(cn,[status(thm)],[73530,theory(equality)]) ).
cnf(73601,negated_conjecture,
( ~ in(esk95_0,relation_restriction(esk97_0,esk96_0))
| $false ),
inference(rw,[status(thm)],[15293,73531,theory(equality)]) ).
cnf(73602,negated_conjecture,
~ in(esk95_0,relation_restriction(esk97_0,esk96_0)),
inference(cn,[status(thm)],[73601,theory(equality)]) ).
cnf(176684,negated_conjecture,
( in(esk95_0,X1)
| relation_restriction(X2,esk96_0) != X1
| ~ in(esk95_0,X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[3925,73531,theory(equality)]) ).
cnf(227793,negated_conjecture,
( in(esk95_0,relation_restriction(X1,esk96_0))
| ~ in(esk95_0,X1)
| ~ relation(X1) ),
inference(er,[status(thm)],[176684,theory(equality)]) ).
cnf(228318,negated_conjecture,
( ~ in(esk95_0,esk97_0)
| ~ relation(esk97_0) ),
inference(spm,[status(thm)],[73602,227793,theory(equality)]) ).
cnf(228437,negated_conjecture,
( $false
| ~ relation(esk97_0) ),
inference(rw,[status(thm)],[228318,15266,theory(equality)]) ).
cnf(228438,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[228437,1459,theory(equality)]) ).
cnf(228439,negated_conjecture,
$false,
inference(cn,[status(thm)],[228438,theory(equality)]) ).
cnf(228440,negated_conjecture,
$false,
228439,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU245+2.p
% --creating new selector for []
% -running prover on /tmp/tmp8VlIHJ/sel_SEU245+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU245+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU245+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU245+2.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
%
%------------------------------------------------------------------------------