TSTP Solution File: SEU224+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU224+1 : TPTP v5.0.0. Released v3.3.0.
% 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 : Sun Dec 26 05:56:14 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of formulae : 71 ( 11 unt; 0 def)
% Number of atoms : 349 ( 62 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 453 ( 175 ~; 197 |; 69 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 118 ( 6 sgn 72 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
file('/tmp/tmpgsHWqi/sel_SEU224+1.p_1',fc4_funct_1) ).
fof(20,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
<=> ( in(X2,relation_dom(X3))
& in(X2,X1) ) ) ),
file('/tmp/tmpgsHWqi/sel_SEU224+1.p_1',l82_funct_1) ).
fof(23,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_dom_restriction(X3,X1)
<=> ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/tmp/tmpgsHWqi/sel_SEU224+1.p_1',t68_funct_1) ).
fof(25,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/tmp/tmpgsHWqi/sel_SEU224+1.p_1',commutativity_k3_xboole_0) ).
fof(32,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/tmp/tmpgsHWqi/sel_SEU224+1.p_1',dt_k7_relat_1) ).
fof(37,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/tmp/tmpgsHWqi/sel_SEU224+1.p_1',d3_xboole_0) ).
fof(39,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
<=> ( in(X2,relation_dom(X3))
& in(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[20]) ).
fof(44,plain,
! [X1,X2] :
( ~ relation(X1)
| ~ function(X1)
| ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(45,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ( relation(relation_dom_restriction(X3,X4))
& function(relation_dom_restriction(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(46,plain,
! [X3,X4] :
( ( relation(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) )
& ( function(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(47,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(109,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& function(X3)
& ( ~ in(X2,relation_dom(relation_dom_restriction(X3,X1)))
| ~ in(X2,relation_dom(X3))
| ~ in(X2,X1) )
& ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
| ( in(X2,relation_dom(X3))
& in(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(110,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& function(X6)
& ( ~ in(X5,relation_dom(relation_dom_restriction(X6,X4)))
| ~ in(X5,relation_dom(X6))
| ~ in(X5,X4) )
& ( in(X5,relation_dom(relation_dom_restriction(X6,X4)))
| ( in(X5,relation_dom(X6))
& in(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[109]) ).
fof(111,negated_conjecture,
( relation(esk8_0)
& function(esk8_0)
& ( ~ in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| ~ in(esk7_0,relation_dom(esk8_0))
| ~ in(esk7_0,esk6_0) )
& ( in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| ( in(esk7_0,relation_dom(esk8_0))
& in(esk7_0,esk6_0) ) ) ),
inference(skolemize,[status(esa)],[110]) ).
fof(112,negated_conjecture,
( relation(esk8_0)
& function(esk8_0)
& ( ~ in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| ~ in(esk7_0,relation_dom(esk8_0))
| ~ in(esk7_0,esk6_0) )
& ( in(esk7_0,relation_dom(esk8_0))
| in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0))) )
& ( in(esk7_0,esk6_0)
| in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0))) ) ),
inference(distribute,[status(thm)],[111]) ).
cnf(113,negated_conjecture,
( in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| in(esk7_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(114,negated_conjecture,
( in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| in(esk7_0,relation_dom(esk8_0)) ),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(115,negated_conjecture,
( ~ in(esk7_0,esk6_0)
| ~ in(esk7_0,relation_dom(esk8_0))
| ~ in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0))) ),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(116,negated_conjecture,
function(esk8_0),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(117,negated_conjecture,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[112]) ).
fof(122,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ( ( X2 != relation_dom_restriction(X3,X1)
| ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( ~ in(X4,relation_dom(X2))
| apply(X2,X4) = apply(X3,X4) ) ) )
& ( relation_dom(X2) != set_intersection2(relation_dom(X3),X1)
| ? [X4] :
( in(X4,relation_dom(X2))
& apply(X2,X4) != apply(X3,X4) )
| X2 = relation_dom_restriction(X3,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(123,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_dom_restriction(X7,X5)
| ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
& ! [X8] :
( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) ) ) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ? [X9] :
( in(X9,relation_dom(X6))
& apply(X6,X9) != apply(X7,X9) )
| X6 = relation_dom_restriction(X7,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[122]) ).
fof(124,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_dom_restriction(X7,X5)
| ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
& ! [X8] :
( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) ) ) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ( in(esk9_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk9_3(X5,X6,X7)) != apply(X7,esk9_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) ) ) ),
inference(skolemize,[status(esa)],[123]) ).
fof(125,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) )
& relation_dom(X6) = set_intersection2(relation_dom(X7),X5) )
| X6 != relation_dom_restriction(X7,X5) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ( in(esk9_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk9_3(X5,X6,X7)) != apply(X7,esk9_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) )
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(shift_quantors,[status(thm)],[124]) ).
fof(126,plain,
! [X5,X6,X7,X8] :
( ( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8)
| X6 != relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
| X6 != relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk9_3(X5,X6,X7),relation_dom(X6))
| relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| X6 = relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk9_3(X5,X6,X7)) != apply(X7,esk9_3(X5,X6,X7))
| relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| X6 = relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ) ),
inference(distribute,[status(thm)],[125]) ).
cnf(129,plain,
( relation_dom(X1) = set_intersection2(relation_dom(X2),X3)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| X1 != relation_dom_restriction(X2,X3) ),
inference(split_conjunct,[status(thm)],[126]) ).
fof(134,plain,
! [X3,X4] : set_intersection2(X3,X4) = set_intersection2(X4,X3),
inference(variable_rename,[status(thm)],[25]) ).
cnf(135,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[134]) ).
fof(149,plain,
! [X1,X2] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(150,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[149]) ).
cnf(151,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[150]) ).
fof(163,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)],[37]) ).
fof(164,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)],[163]) ).
fof(165,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(esk13_3(X5,X6,X7),X7)
| ~ in(esk13_3(X5,X6,X7),X5)
| ~ in(esk13_3(X5,X6,X7),X6) )
& ( in(esk13_3(X5,X6,X7),X7)
| ( in(esk13_3(X5,X6,X7),X5)
& in(esk13_3(X5,X6,X7),X6) ) ) )
| X7 = set_intersection2(X5,X6) ) ),
inference(skolemize,[status(esa)],[164]) ).
fof(166,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(esk13_3(X5,X6,X7),X7)
| ~ in(esk13_3(X5,X6,X7),X5)
| ~ in(esk13_3(X5,X6,X7),X6) )
& ( in(esk13_3(X5,X6,X7),X7)
| ( in(esk13_3(X5,X6,X7),X5)
& in(esk13_3(X5,X6,X7),X6) ) ) )
| X7 = set_intersection2(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[165]) ).
fof(167,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(esk13_3(X5,X6,X7),X7)
| ~ in(esk13_3(X5,X6,X7),X5)
| ~ in(esk13_3(X5,X6,X7),X6)
| X7 = set_intersection2(X5,X6) )
& ( in(esk13_3(X5,X6,X7),X5)
| in(esk13_3(X5,X6,X7),X7)
| X7 = set_intersection2(X5,X6) )
& ( in(esk13_3(X5,X6,X7),X6)
| in(esk13_3(X5,X6,X7),X7)
| X7 = set_intersection2(X5,X6) ) ),
inference(distribute,[status(thm)],[166]) ).
cnf(171,plain,
( in(X4,X1)
| X1 != set_intersection2(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(172,plain,
( in(X4,X3)
| X1 != set_intersection2(X2,X3)
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(173,plain,
( in(X4,X2)
| X1 != set_intersection2(X2,X3)
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(223,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[172,theory(equality)]) ).
cnf(229,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[173,theory(equality)]) ).
cnf(235,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[171,theory(equality)]) ).
cnf(241,plain,
( set_intersection2(relation_dom(X1),X2) = relation_dom(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ function(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ relation(relation_dom_restriction(X1,X2)) ),
inference(er,[status(thm)],[129,theory(equality)]) ).
cnf(591,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2)
| ~ function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[241,151]) ).
cnf(592,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[591,47]) ).
cnf(593,negated_conjecture,
( in(esk7_0,set_intersection2(relation_dom(esk8_0),esk6_0))
| in(esk7_0,esk6_0)
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[113,592,theory(equality)]) ).
cnf(595,negated_conjecture,
( in(esk7_0,set_intersection2(relation_dom(esk8_0),esk6_0))
| in(esk7_0,relation_dom(esk8_0))
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[114,592,theory(equality)]) ).
cnf(611,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,esk6_0)
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[593,135,theory(equality)]) ).
cnf(612,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,esk6_0)
| $false
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[611,116,theory(equality)]) ).
cnf(613,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,esk6_0)
| $false
| $false ),
inference(rw,[status(thm)],[612,117,theory(equality)]) ).
cnf(614,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,esk6_0) ),
inference(cn,[status(thm)],[613,theory(equality)]) ).
cnf(615,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,relation_dom(esk8_0))
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[595,135,theory(equality)]) ).
cnf(616,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,relation_dom(esk8_0))
| $false
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[615,116,theory(equality)]) ).
cnf(617,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,relation_dom(esk8_0))
| $false
| $false ),
inference(rw,[status(thm)],[616,117,theory(equality)]) ).
cnf(618,negated_conjecture,
( in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| in(esk7_0,relation_dom(esk8_0)) ),
inference(cn,[status(thm)],[617,theory(equality)]) ).
cnf(678,negated_conjecture,
in(esk7_0,esk6_0),
inference(csr,[status(thm)],[614,229]) ).
cnf(690,negated_conjecture,
( ~ in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| ~ in(esk7_0,relation_dom(esk8_0))
| $false ),
inference(rw,[status(thm)],[115,678,theory(equality)]) ).
cnf(691,negated_conjecture,
( ~ in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| ~ in(esk7_0,relation_dom(esk8_0)) ),
inference(cn,[status(thm)],[690,theory(equality)]) ).
cnf(788,negated_conjecture,
in(esk7_0,relation_dom(esk8_0)),
inference(csr,[status(thm)],[618,223]) ).
cnf(795,negated_conjecture,
( ~ in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0)))
| $false ),
inference(rw,[status(thm)],[691,788,theory(equality)]) ).
cnf(796,negated_conjecture,
~ in(esk7_0,relation_dom(relation_dom_restriction(esk8_0,esk6_0))),
inference(cn,[status(thm)],[795,theory(equality)]) ).
cnf(810,negated_conjecture,
( ~ in(esk7_0,set_intersection2(relation_dom(esk8_0),esk6_0))
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[796,592,theory(equality)]) ).
cnf(812,negated_conjecture,
( ~ in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[810,135,theory(equality)]) ).
cnf(813,negated_conjecture,
( ~ in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| $false
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[812,116,theory(equality)]) ).
cnf(814,negated_conjecture,
( ~ in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0)))
| $false
| $false ),
inference(rw,[status(thm)],[813,117,theory(equality)]) ).
cnf(815,negated_conjecture,
~ in(esk7_0,set_intersection2(esk6_0,relation_dom(esk8_0))),
inference(cn,[status(thm)],[814,theory(equality)]) ).
cnf(856,negated_conjecture,
( ~ in(esk7_0,relation_dom(esk8_0))
| ~ in(esk7_0,esk6_0) ),
inference(spm,[status(thm)],[815,235,theory(equality)]) ).
cnf(863,negated_conjecture,
( $false
| ~ in(esk7_0,esk6_0) ),
inference(rw,[status(thm)],[856,788,theory(equality)]) ).
cnf(864,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[863,678,theory(equality)]) ).
cnf(865,negated_conjecture,
$false,
inference(cn,[status(thm)],[864,theory(equality)]) ).
cnf(866,negated_conjecture,
$false,
865,
[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/SEU/SEU224+1.p
% --creating new selector for []
% -running prover on /tmp/tmpgsHWqi/sel_SEU224+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU224+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU224+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU224+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
%
%------------------------------------------------------------------------------