TSTP Solution File: SEU045+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU045+1 : TPTP v5.0.0. Released v3.2.0.
% 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 04:20:20 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 277 ( 46 equ)
% Maximal formula atoms : 79 ( 7 avg)
% Number of connectives : 398 ( 160 ~; 170 |; 57 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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; 3 con; 0-3 aty)
% Number of variables : 70 ( 4 sgn 50 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/tmp/tmpkCSIkt/sel_SEU045+1.p_1',dt_k8_relat_1) ).
fof(11,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/tmp/tmpkCSIkt/sel_SEU045+1.p_1',t85_funct_1) ).
fof(21,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
=> apply(relation_rng_restriction(X1,X3),X2) = apply(X3,X2) ) ),
file('/tmp/tmpkCSIkt/sel_SEU045+1.p_1',t87_funct_1) ).
fof(23,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( relation(relation_rng_restriction(X1,X2))
& function(relation_rng_restriction(X1,X2)) ) ),
file('/tmp/tmpkCSIkt/sel_SEU045+1.p_1',fc5_funct_1) ).
fof(35,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
=> apply(relation_rng_restriction(X1,X3),X2) = apply(X3,X2) ) ),
inference(assume_negation,[status(cth)],[21]) ).
fof(42,plain,
! [X1,X2] :
( ~ relation(X2)
| relation(relation_rng_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(43,plain,
! [X3,X4] :
( ~ relation(X4)
| relation(relation_rng_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[42]) ).
cnf(44,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(77,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ( ( X2 != relation_rng_restriction(X1,X3)
| ( ! [X4] :
( ( ~ in(X4,relation_dom(X2))
| ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ( ~ in(X4,relation_dom(X3))
| ~ in(apply(X3,X4),X1)
| in(X4,relation_dom(X2)) ) )
& ! [X4] :
( ~ in(X4,relation_dom(X2))
| apply(X2,X4) = apply(X3,X4) ) ) )
& ( ? [X4] :
( ( ~ in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X3))
| ~ in(apply(X3,X4),X1) )
& ( in(X4,relation_dom(X2))
| ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) ) )
| ? [X4] :
( in(X4,relation_dom(X2))
& apply(X2,X4) != apply(X3,X4) )
| X2 = relation_rng_restriction(X1,X3) ) ) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(78,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_rng_restriction(X5,X7)
| ( ! [X8] :
( ( ~ in(X8,relation_dom(X6))
| ( in(X8,relation_dom(X7))
& in(apply(X7,X8),X5) ) )
& ( ~ in(X8,relation_dom(X7))
| ~ in(apply(X7,X8),X5)
| in(X8,relation_dom(X6)) ) )
& ! [X9] :
( ~ in(X9,relation_dom(X6))
| apply(X6,X9) = apply(X7,X9) ) ) )
& ( ? [X10] :
( ( ~ in(X10,relation_dom(X6))
| ~ in(X10,relation_dom(X7))
| ~ in(apply(X7,X10),X5) )
& ( in(X10,relation_dom(X6))
| ( in(X10,relation_dom(X7))
& in(apply(X7,X10),X5) ) ) )
| ? [X11] :
( in(X11,relation_dom(X6))
& apply(X6,X11) != apply(X7,X11) )
| X6 = relation_rng_restriction(X5,X7) ) ) ) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_rng_restriction(X5,X7)
| ( ! [X8] :
( ( ~ in(X8,relation_dom(X6))
| ( in(X8,relation_dom(X7))
& in(apply(X7,X8),X5) ) )
& ( ~ in(X8,relation_dom(X7))
| ~ in(apply(X7,X8),X5)
| in(X8,relation_dom(X6)) ) )
& ! [X9] :
( ~ in(X9,relation_dom(X6))
| apply(X6,X9) = apply(X7,X9) ) ) )
& ( ( ( ~ in(esk5_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk5_3(X5,X6,X7),relation_dom(X7))
| ~ in(apply(X7,esk5_3(X5,X6,X7)),X5) )
& ( in(esk5_3(X5,X6,X7),relation_dom(X6))
| ( in(esk5_3(X5,X6,X7),relation_dom(X7))
& in(apply(X7,esk5_3(X5,X6,X7)),X5) ) ) )
| ( in(esk6_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk6_3(X5,X6,X7)) != apply(X7,esk6_3(X5,X6,X7)) )
| X6 = relation_rng_restriction(X5,X7) ) ) ) ),
inference(skolemize,[status(esa)],[78]) ).
fof(80,plain,
! [X5,X6,X7,X8,X9] :
( ( ( ( ( ~ in(X9,relation_dom(X6))
| apply(X6,X9) = apply(X7,X9) )
& ( ~ in(X8,relation_dom(X6))
| ( in(X8,relation_dom(X7))
& in(apply(X7,X8),X5) ) )
& ( ~ in(X8,relation_dom(X7))
| ~ in(apply(X7,X8),X5)
| in(X8,relation_dom(X6)) ) )
| X6 != relation_rng_restriction(X5,X7) )
& ( ( ( ~ in(esk5_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk5_3(X5,X6,X7),relation_dom(X7))
| ~ in(apply(X7,esk5_3(X5,X6,X7)),X5) )
& ( in(esk5_3(X5,X6,X7),relation_dom(X6))
| ( in(esk5_3(X5,X6,X7),relation_dom(X7))
& in(apply(X7,esk5_3(X5,X6,X7)),X5) ) ) )
| ( in(esk6_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk6_3(X5,X6,X7)) != apply(X7,esk6_3(X5,X6,X7)) )
| X6 = relation_rng_restriction(X5,X7) ) )
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(shift_quantors,[status(thm)],[79]) ).
fof(81,plain,
! [X5,X6,X7,X8,X9] :
( ( ~ in(X9,relation_dom(X6))
| apply(X6,X9) = apply(X7,X9)
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(X8,relation_dom(X7))
| ~ in(X8,relation_dom(X6))
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(apply(X7,X8),X5)
| ~ in(X8,relation_dom(X6))
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(X8,relation_dom(X7))
| ~ in(apply(X7,X8),X5)
| in(X8,relation_dom(X6))
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk6_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk5_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk5_3(X5,X6,X7),relation_dom(X7))
| ~ in(apply(X7,esk5_3(X5,X6,X7)),X5)
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk6_3(X5,X6,X7)) != apply(X7,esk6_3(X5,X6,X7))
| ~ in(esk5_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk5_3(X5,X6,X7),relation_dom(X7))
| ~ in(apply(X7,esk5_3(X5,X6,X7)),X5)
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk6_3(X5,X6,X7),relation_dom(X6))
| in(esk5_3(X5,X6,X7),relation_dom(X7))
| in(esk5_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk6_3(X5,X6,X7)) != apply(X7,esk6_3(X5,X6,X7))
| in(esk5_3(X5,X6,X7),relation_dom(X7))
| in(esk5_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk6_3(X5,X6,X7),relation_dom(X6))
| in(apply(X7,esk5_3(X5,X6,X7)),X5)
| in(esk5_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk6_3(X5,X6,X7)) != apply(X7,esk6_3(X5,X6,X7))
| in(apply(X7,esk5_3(X5,X6,X7)),X5)
| in(esk5_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ) ),
inference(distribute,[status(thm)],[80]) ).
cnf(91,plain,
( apply(X1,X4) = apply(X2,X4)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| X1 != relation_rng_restriction(X3,X2)
| ~ in(X4,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(121,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& function(X3)
& in(X2,relation_dom(relation_rng_restriction(X1,X3)))
& apply(relation_rng_restriction(X1,X3),X2) != apply(X3,X2) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(122,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& function(X6)
& in(X5,relation_dom(relation_rng_restriction(X4,X6)))
& apply(relation_rng_restriction(X4,X6),X5) != apply(X6,X5) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(123,negated_conjecture,
( relation(esk10_0)
& function(esk10_0)
& in(esk9_0,relation_dom(relation_rng_restriction(esk8_0,esk10_0)))
& apply(relation_rng_restriction(esk8_0,esk10_0),esk9_0) != apply(esk10_0,esk9_0) ),
inference(skolemize,[status(esa)],[122]) ).
cnf(124,negated_conjecture,
apply(relation_rng_restriction(esk8_0,esk10_0),esk9_0) != apply(esk10_0,esk9_0),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(125,negated_conjecture,
in(esk9_0,relation_dom(relation_rng_restriction(esk8_0,esk10_0))),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(126,negated_conjecture,
function(esk10_0),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(127,negated_conjecture,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[123]) ).
fof(131,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ( relation(relation_rng_restriction(X1,X2))
& function(relation_rng_restriction(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(132,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ function(X4)
| ( relation(relation_rng_restriction(X3,X4))
& function(relation_rng_restriction(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[131]) ).
fof(133,plain,
! [X3,X4] :
( ( relation(relation_rng_restriction(X3,X4))
| ~ relation(X4)
| ~ function(X4) )
& ( function(relation_rng_restriction(X3,X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[132]) ).
cnf(134,plain,
( function(relation_rng_restriction(X2,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(235,negated_conjecture,
( apply(relation_rng_restriction(esk8_0,esk10_0),esk9_0) = apply(X1,esk9_0)
| relation_rng_restriction(X2,X1) != relation_rng_restriction(esk8_0,esk10_0)
| ~ function(X1)
| ~ function(relation_rng_restriction(esk8_0,esk10_0))
| ~ relation(X1)
| ~ relation(relation_rng_restriction(esk8_0,esk10_0)) ),
inference(spm,[status(thm)],[91,125,theory(equality)]) ).
cnf(538,negated_conjecture,
( apply(relation_rng_restriction(esk8_0,esk10_0),esk9_0) = apply(esk10_0,esk9_0)
| ~ function(relation_rng_restriction(esk8_0,esk10_0))
| ~ function(esk10_0)
| ~ relation(relation_rng_restriction(esk8_0,esk10_0))
| ~ relation(esk10_0) ),
inference(er,[status(thm)],[235,theory(equality)]) ).
cnf(539,negated_conjecture,
( apply(relation_rng_restriction(esk8_0,esk10_0),esk9_0) = apply(esk10_0,esk9_0)
| ~ function(relation_rng_restriction(esk8_0,esk10_0))
| $false
| ~ relation(relation_rng_restriction(esk8_0,esk10_0))
| ~ relation(esk10_0) ),
inference(rw,[status(thm)],[538,126,theory(equality)]) ).
cnf(540,negated_conjecture,
( apply(relation_rng_restriction(esk8_0,esk10_0),esk9_0) = apply(esk10_0,esk9_0)
| ~ function(relation_rng_restriction(esk8_0,esk10_0))
| $false
| ~ relation(relation_rng_restriction(esk8_0,esk10_0))
| $false ),
inference(rw,[status(thm)],[539,127,theory(equality)]) ).
cnf(541,negated_conjecture,
( apply(relation_rng_restriction(esk8_0,esk10_0),esk9_0) = apply(esk10_0,esk9_0)
| ~ function(relation_rng_restriction(esk8_0,esk10_0))
| ~ relation(relation_rng_restriction(esk8_0,esk10_0)) ),
inference(cn,[status(thm)],[540,theory(equality)]) ).
cnf(542,negated_conjecture,
( ~ function(relation_rng_restriction(esk8_0,esk10_0))
| ~ relation(relation_rng_restriction(esk8_0,esk10_0)) ),
inference(sr,[status(thm)],[541,124,theory(equality)]) ).
cnf(543,negated_conjecture,
( ~ relation(relation_rng_restriction(esk8_0,esk10_0))
| ~ function(esk10_0)
| ~ relation(esk10_0) ),
inference(spm,[status(thm)],[542,134,theory(equality)]) ).
cnf(544,negated_conjecture,
( ~ relation(relation_rng_restriction(esk8_0,esk10_0))
| $false
| ~ relation(esk10_0) ),
inference(rw,[status(thm)],[543,126,theory(equality)]) ).
cnf(545,negated_conjecture,
( ~ relation(relation_rng_restriction(esk8_0,esk10_0))
| $false
| $false ),
inference(rw,[status(thm)],[544,127,theory(equality)]) ).
cnf(546,negated_conjecture,
~ relation(relation_rng_restriction(esk8_0,esk10_0)),
inference(cn,[status(thm)],[545,theory(equality)]) ).
cnf(547,negated_conjecture,
~ relation(esk10_0),
inference(spm,[status(thm)],[546,44,theory(equality)]) ).
cnf(548,negated_conjecture,
$false,
inference(rw,[status(thm)],[547,127,theory(equality)]) ).
cnf(549,negated_conjecture,
$false,
inference(cn,[status(thm)],[548,theory(equality)]) ).
cnf(550,negated_conjecture,
$false,
549,
[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/SEU045+1.p
% --creating new selector for []
% -running prover on /tmp/tmpkCSIkt/sel_SEU045+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU045+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU045+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU045+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
%
%------------------------------------------------------------------------------