%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU215+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 05:42:30 EST 2010
% Result : Theorem 0.96s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 70 ( 10 unt; 0 def)
% Number of atoms : 389 ( 48 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 532 ( 213 ~; 239 |; 56 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn 65 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(13,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
<=> ( in(X1,relation_dom(X3))
& in(apply(X3,X1),relation_dom(X2)) ) ) ) ),
file('/tmp/tmpP7IXT3/sel_SEU215+2.p_1',t21_funct_1) ).
fof(37,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& relation(X2)
& function(X2) )
=> ( relation(relation_composition(X1,X2))
& function(relation_composition(X1,X2)) ) ),
file('/tmp/tmpP7IXT3/sel_SEU215+2.p_1',fc1_funct_1) ).
fof(104,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/tmp/tmpP7IXT3/sel_SEU215+2.p_1',dt_k5_relat_1) ).
fof(165,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
file('/tmp/tmpP7IXT3/sel_SEU215+2.p_1',d4_funct_1) ).
fof(172,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(X2))
=> apply(relation_composition(X2,X3),X1) = apply(X3,apply(X2,X1)) ) ) ),
file('/tmp/tmpP7IXT3/sel_SEU215+2.p_1',t23_funct_1) ).
fof(206,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
=> apply(relation_composition(X3,X2),X1) = apply(X2,apply(X3,X1)) ) ) ),
file('/tmp/tmpP7IXT3/sel_SEU215+2.p_1',t22_funct_1) ).
fof(220,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(X2))
=> apply(relation_composition(X2,X3),X1) = apply(X3,apply(X2,X1)) ) ) ),
inference(assume_negation,[status(cth)],[172]) ).
fof(241,plain,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
inference(fof_simplification,[status(thm)],[165,theory(equality)]) ).
fof(294,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ( ( ~ in(X1,relation_dom(relation_composition(X3,X2)))
| ( in(X1,relation_dom(X3))
& in(apply(X3,X1),relation_dom(X2)) ) )
& ( ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),relation_dom(X2))
| in(X1,relation_dom(relation_composition(X3,X2))) ) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(295,plain,
! [X4,X5] :
( ~ relation(X5)
| ~ function(X5)
| ! [X6] :
( ~ relation(X6)
| ~ function(X6)
| ( ( ~ in(X4,relation_dom(relation_composition(X6,X5)))
| ( in(X4,relation_dom(X6))
& in(apply(X6,X4),relation_dom(X5)) ) )
& ( ~ in(X4,relation_dom(X6))
| ~ in(apply(X6,X4),relation_dom(X5))
| in(X4,relation_dom(relation_composition(X6,X5))) ) ) ) ),
inference(variable_rename,[status(thm)],[294]) ).
fof(296,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ( ( ~ in(X4,relation_dom(relation_composition(X6,X5)))
| ( in(X4,relation_dom(X6))
& in(apply(X6,X4),relation_dom(X5)) ) )
& ( ~ in(X4,relation_dom(X6))
| ~ in(apply(X6,X4),relation_dom(X5))
| in(X4,relation_dom(relation_composition(X6,X5))) ) )
| ~ relation(X5)
| ~ function(X5) ),
inference(shift_quantors,[status(thm)],[295]) ).
fof(297,plain,
! [X4,X5,X6] :
( ( in(X4,relation_dom(X6))
| ~ in(X4,relation_dom(relation_composition(X6,X5)))
| ~ relation(X6)
| ~ function(X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X6,X4),relation_dom(X5))
| ~ in(X4,relation_dom(relation_composition(X6,X5)))
| ~ relation(X6)
| ~ function(X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X4,relation_dom(X6))
| ~ in(apply(X6,X4),relation_dom(X5))
| in(X4,relation_dom(relation_composition(X6,X5)))
| ~ relation(X6)
| ~ function(X6)
| ~ relation(X5)
| ~ function(X5) ) ),
inference(distribute,[status(thm)],[296]) ).
cnf(298,plain,
( in(X3,relation_dom(relation_composition(X2,X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(apply(X2,X3),relation_dom(X1))
| ~ in(X3,relation_dom(X2)) ),
inference(split_conjunct,[status(thm)],[297]) ).
fof(399,plain,
! [X1,X2] :
( ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2)
| ( relation(relation_composition(X1,X2))
& function(relation_composition(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(400,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4)
| ( relation(relation_composition(X3,X4))
& function(relation_composition(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[399]) ).
fof(401,plain,
! [X3,X4] :
( ( relation(relation_composition(X3,X4))
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4) )
& ( function(relation_composition(X3,X4))
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[400]) ).
cnf(402,plain,
( function(relation_composition(X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[401]) ).
fof(665,plain,
! [X1,X2] :
( ~ relation(X1)
| ~ relation(X2)
| relation(relation_composition(X1,X2)) ),
inference(fof_nnf,[status(thm)],[104]) ).
fof(666,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ relation(X4)
| relation(relation_composition(X3,X4)) ),
inference(variable_rename,[status(thm)],[665]) ).
cnf(667,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[666]) ).
fof(905,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2,X3] :
( ( ~ in(X2,relation_dom(X1))
| ( ( X3 != apply(X1,X2)
| in(ordered_pair(X2,X3),X1) )
& ( ~ in(ordered_pair(X2,X3),X1)
| X3 = apply(X1,X2) ) ) )
& ( in(X2,relation_dom(X1))
| ( ( X3 != apply(X1,X2)
| X3 = empty_set )
& ( X3 != empty_set
| X3 = apply(X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[241]) ).
fof(906,plain,
! [X4] :
( ~ relation(X4)
| ~ function(X4)
| ! [X5,X6] :
( ( ~ in(X5,relation_dom(X4))
| ( ( X6 != apply(X4,X5)
| in(ordered_pair(X5,X6),X4) )
& ( ~ in(ordered_pair(X5,X6),X4)
| X6 = apply(X4,X5) ) ) )
& ( in(X5,relation_dom(X4))
| ( ( X6 != apply(X4,X5)
| X6 = empty_set )
& ( X6 != empty_set
| X6 = apply(X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[905]) ).
fof(907,plain,
! [X4,X5,X6] :
( ( ( ~ in(X5,relation_dom(X4))
| ( ( X6 != apply(X4,X5)
| in(ordered_pair(X5,X6),X4) )
& ( ~ in(ordered_pair(X5,X6),X4)
| X6 = apply(X4,X5) ) ) )
& ( in(X5,relation_dom(X4))
| ( ( X6 != apply(X4,X5)
| X6 = empty_set )
& ( X6 != empty_set
| X6 = apply(X4,X5) ) ) ) )
| ~ relation(X4)
| ~ function(X4) ),
inference(shift_quantors,[status(thm)],[906]) ).
fof(908,plain,
! [X4,X5,X6] :
( ( X6 != apply(X4,X5)
| in(ordered_pair(X5,X6),X4)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( ~ in(ordered_pair(X5,X6),X4)
| X6 = apply(X4,X5)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != apply(X4,X5)
| X6 = empty_set
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != empty_set
| X6 = apply(X4,X5)
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[907]) ).
cnf(909,plain,
( in(X2,relation_dom(X1))
| X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| X3 != empty_set ),
inference(split_conjunct,[status(thm)],[908]) ).
fof(941,negated_conjecture,
? [X1,X2] :
( relation(X2)
& function(X2)
& ? [X3] :
( relation(X3)
& function(X3)
& in(X1,relation_dom(X2))
& apply(relation_composition(X2,X3),X1) != apply(X3,apply(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[220]) ).
fof(942,negated_conjecture,
? [X4,X5] :
( relation(X5)
& function(X5)
& ? [X6] :
( relation(X6)
& function(X6)
& in(X4,relation_dom(X5))
& apply(relation_composition(X5,X6),X4) != apply(X6,apply(X5,X4)) ) ),
inference(variable_rename,[status(thm)],[941]) ).
fof(943,negated_conjecture,
( relation(esk57_0)
& function(esk57_0)
& relation(esk58_0)
& function(esk58_0)
& in(esk56_0,relation_dom(esk57_0))
& apply(relation_composition(esk57_0,esk58_0),esk56_0) != apply(esk58_0,apply(esk57_0,esk56_0)) ),
inference(skolemize,[status(esa)],[942]) ).
cnf(944,negated_conjecture,
apply(relation_composition(esk57_0,esk58_0),esk56_0) != apply(esk58_0,apply(esk57_0,esk56_0)),
inference(split_conjunct,[status(thm)],[943]) ).
cnf(945,negated_conjecture,
in(esk56_0,relation_dom(esk57_0)),
inference(split_conjunct,[status(thm)],[943]) ).
cnf(946,negated_conjecture,
function(esk58_0),
inference(split_conjunct,[status(thm)],[943]) ).
cnf(947,negated_conjecture,
relation(esk58_0),
inference(split_conjunct,[status(thm)],[943]) ).
cnf(948,negated_conjecture,
function(esk57_0),
inference(split_conjunct,[status(thm)],[943]) ).
cnf(949,negated_conjecture,
relation(esk57_0),
inference(split_conjunct,[status(thm)],[943]) ).
fof(1075,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(relation_composition(X3,X2)))
| apply(relation_composition(X3,X2),X1) = apply(X2,apply(X3,X1)) ) ),
inference(fof_nnf,[status(thm)],[206]) ).
fof(1076,plain,
! [X4,X5] :
( ~ relation(X5)
| ~ function(X5)
| ! [X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ in(X4,relation_dom(relation_composition(X6,X5)))
| apply(relation_composition(X6,X5),X4) = apply(X5,apply(X6,X4)) ) ),
inference(variable_rename,[status(thm)],[1075]) ).
fof(1077,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ in(X4,relation_dom(relation_composition(X6,X5)))
| apply(relation_composition(X6,X5),X4) = apply(X5,apply(X6,X4))
| ~ relation(X5)
| ~ function(X5) ),
inference(shift_quantors,[status(thm)],[1076]) ).
cnf(1078,plain,
( apply(relation_composition(X2,X1),X3) = apply(X1,apply(X2,X3))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[1077]) ).
cnf(1836,plain,
( apply(X1,X2) = empty_set
| in(X2,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(er,[status(thm)],[909,theory(equality)]) ).
cnf(3468,plain,
( ~ function(esk57_0)
| ~ function(esk58_0)
| ~ in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| ~ relation(esk57_0)
| ~ relation(esk58_0) ),
inference(spm,[status(thm)],[944,1078,theory(equality)]) ).
cnf(3475,plain,
( $false
| ~ function(esk58_0)
| ~ in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| ~ relation(esk57_0)
| ~ relation(esk58_0) ),
inference(rw,[status(thm)],[3468,948,theory(equality)]) ).
cnf(3476,plain,
( $false
| $false
| ~ in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| ~ relation(esk57_0)
| ~ relation(esk58_0) ),
inference(rw,[status(thm)],[3475,946,theory(equality)]) ).
cnf(3477,plain,
( $false
| $false
| ~ in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| $false
| ~ relation(esk58_0) ),
inference(rw,[status(thm)],[3476,949,theory(equality)]) ).
cnf(3478,plain,
( $false
| $false
| ~ in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| $false
| $false ),
inference(rw,[status(thm)],[3477,947,theory(equality)]) ).
cnf(3479,plain,
~ in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0))),
inference(cn,[status(thm)],[3478,theory(equality)]) ).
cnf(11258,negated_conjecture,
( in(apply(esk57_0,esk56_0),relation_dom(esk58_0))
| empty_set != apply(relation_composition(esk57_0,esk58_0),esk56_0)
| ~ function(esk58_0)
| ~ relation(esk58_0) ),
inference(spm,[status(thm)],[944,1836,theory(equality)]) ).
cnf(11269,negated_conjecture,
( in(apply(esk57_0,esk56_0),relation_dom(esk58_0))
| empty_set != apply(relation_composition(esk57_0,esk58_0),esk56_0)
| $false
| ~ relation(esk58_0) ),
inference(rw,[status(thm)],[11258,946,theory(equality)]) ).
cnf(11270,negated_conjecture,
( in(apply(esk57_0,esk56_0),relation_dom(esk58_0))
| empty_set != apply(relation_composition(esk57_0,esk58_0),esk56_0)
| $false
| $false ),
inference(rw,[status(thm)],[11269,947,theory(equality)]) ).
cnf(11271,negated_conjecture,
( in(apply(esk57_0,esk56_0),relation_dom(esk58_0))
| empty_set != apply(relation_composition(esk57_0,esk58_0),esk56_0) ),
inference(cn,[status(thm)],[11270,theory(equality)]) ).
cnf(11318,negated_conjecture,
( in(apply(esk57_0,esk56_0),relation_dom(esk58_0))
| in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(spm,[status(thm)],[11271,1836,theory(equality)]) ).
cnf(11323,negated_conjecture,
( in(apply(esk57_0,esk56_0),relation_dom(esk58_0))
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(sr,[status(thm)],[11318,3479,theory(equality)]) ).
cnf(11332,negated_conjecture,
( in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| ~ function(esk57_0)
| ~ function(esk58_0)
| ~ in(esk56_0,relation_dom(esk57_0))
| ~ relation(esk57_0)
| ~ relation(esk58_0)
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(spm,[status(thm)],[298,11323,theory(equality)]) ).
cnf(11340,negated_conjecture,
( in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| $false
| ~ function(esk58_0)
| ~ in(esk56_0,relation_dom(esk57_0))
| ~ relation(esk57_0)
| ~ relation(esk58_0)
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(rw,[status(thm)],[11332,948,theory(equality)]) ).
cnf(11341,negated_conjecture,
( in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| $false
| $false
| ~ in(esk56_0,relation_dom(esk57_0))
| ~ relation(esk57_0)
| ~ relation(esk58_0)
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(rw,[status(thm)],[11340,946,theory(equality)]) ).
cnf(11342,negated_conjecture,
( in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| $false
| $false
| $false
| ~ relation(esk57_0)
| ~ relation(esk58_0)
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(rw,[status(thm)],[11341,945,theory(equality)]) ).
cnf(11343,negated_conjecture,
( in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| $false
| $false
| $false
| $false
| ~ relation(esk58_0)
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(rw,[status(thm)],[11342,949,theory(equality)]) ).
cnf(11344,negated_conjecture,
( in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| $false
| $false
| $false
| $false
| $false
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(rw,[status(thm)],[11343,947,theory(equality)]) ).
cnf(11345,negated_conjecture,
( in(esk56_0,relation_dom(relation_composition(esk57_0,esk58_0)))
| ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(cn,[status(thm)],[11344,theory(equality)]) ).
cnf(11346,negated_conjecture,
( ~ function(relation_composition(esk57_0,esk58_0))
| ~ relation(relation_composition(esk57_0,esk58_0)) ),
inference(sr,[status(thm)],[11345,3479,theory(equality)]) ).
cnf(11357,negated_conjecture,
( ~ relation(relation_composition(esk57_0,esk58_0))
| ~ function(esk57_0)
| ~ function(esk58_0)
| ~ relation(esk57_0)
| ~ relation(esk58_0) ),
inference(spm,[status(thm)],[11346,402,theory(equality)]) ).
cnf(11361,negated_conjecture,
( ~ relation(relation_composition(esk57_0,esk58_0))
| $false
| ~ function(esk58_0)
| ~ relation(esk57_0)
| ~ relation(esk58_0) ),
inference(rw,[status(thm)],[11357,948,theory(equality)]) ).
cnf(11362,negated_conjecture,
( ~ relation(relation_composition(esk57_0,esk58_0))
| $false
| $false
| ~ relation(esk57_0)
| ~ relation(esk58_0) ),
inference(rw,[status(thm)],[11361,946,theory(equality)]) ).
cnf(11363,negated_conjecture,
( ~ relation(relation_composition(esk57_0,esk58_0))
| $false
| $false
| $false
| ~ relation(esk58_0) ),
inference(rw,[status(thm)],[11362,949,theory(equality)]) ).
cnf(11364,negated_conjecture,
( ~ relation(relation_composition(esk57_0,esk58_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[11363,947,theory(equality)]) ).
cnf(11365,negated_conjecture,
~ relation(relation_composition(esk57_0,esk58_0)),
inference(cn,[status(thm)],[11364,theory(equality)]) ).
cnf(11372,negated_conjecture,
( ~ relation(esk58_0)
| ~ relation(esk57_0) ),
inference(spm,[status(thm)],[11365,667,theory(equality)]) ).
cnf(11379,negated_conjecture,
( $false
| ~ relation(esk57_0) ),
inference(rw,[status(thm)],[11372,947,theory(equality)]) ).
cnf(11380,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[11379,949,theory(equality)]) ).
cnf(11381,negated_conjecture,
$false,
inference(cn,[status(thm)],[11380,theory(equality)]) ).
cnf(11382,negated_conjecture,
$false,
11381,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU215+2.p
% --creating new selector for []
% -running prover on /tmp/tmpP7IXT3/sel_SEU215+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU215+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU215+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU215+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
%
%------------------------------------------------------------------------------