TSTP Solution File: SEU020+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU020+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 04:11:21 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 15 unt; 0 def)
% Number of atoms : 157 ( 19 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 188 ( 70 ~; 80 |; 28 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 1 sgn 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(relation_composition(X2,X1))
& subset(relation_rng(X2),relation_dom(X1)) )
=> one_to_one(X2) ) ) ),
file('/tmp/tmpC6bBA5/sel_SEU020+1.p_1',t47_funct_1) ).
fof(12,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_dom(relation_composition(X2,X1)) = relation_dom(X2)
=> subset(relation_rng(X2),relation_dom(X1)) ) ) ),
file('/tmp/tmpC6bBA5/sel_SEU020+1.p_1',t27_funct_1) ).
fof(17,axiom,
! [X1] : one_to_one(identity_relation(X1)),
file('/tmp/tmpC6bBA5/sel_SEU020+1.p_1',t52_funct_1) ).
fof(26,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ? [X2] :
( relation(X2)
& function(X2)
& relation_composition(X1,X2) = identity_relation(relation_dom(X1)) )
=> one_to_one(X1) ) ),
file('/tmp/tmpC6bBA5/sel_SEU020+1.p_1',t53_funct_1) ).
fof(35,axiom,
! [X1] :
( relation_dom(identity_relation(X1)) = X1
& relation_rng(identity_relation(X1)) = X1 ),
file('/tmp/tmpC6bBA5/sel_SEU020+1.p_1',t71_relat_1) ).
fof(41,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ? [X2] :
( relation(X2)
& function(X2)
& relation_composition(X1,X2) = identity_relation(relation_dom(X1)) )
=> one_to_one(X1) ) ),
inference(assume_negation,[status(cth)],[26]) ).
fof(62,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ~ one_to_one(relation_composition(X2,X1))
| ~ subset(relation_rng(X2),relation_dom(X1))
| one_to_one(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(63,plain,
! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ! [X4] :
( ~ relation(X4)
| ~ function(X4)
| ~ one_to_one(relation_composition(X4,X3))
| ~ subset(relation_rng(X4),relation_dom(X3))
| one_to_one(X4) ) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ function(X4)
| ~ one_to_one(relation_composition(X4,X3))
| ~ subset(relation_rng(X4),relation_dom(X3))
| one_to_one(X4)
| ~ relation(X3)
| ~ function(X3) ),
inference(shift_quantors,[status(thm)],[63]) ).
cnf(65,plain,
( one_to_one(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X2),relation_dom(X1))
| ~ one_to_one(relation_composition(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[64]) ).
fof(90,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| relation_dom(relation_composition(X2,X1)) != relation_dom(X2)
| subset(relation_rng(X2),relation_dom(X1)) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(91,plain,
! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ! [X4] :
( ~ relation(X4)
| ~ function(X4)
| relation_dom(relation_composition(X4,X3)) != relation_dom(X4)
| subset(relation_rng(X4),relation_dom(X3)) ) ),
inference(variable_rename,[status(thm)],[90]) ).
fof(92,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ function(X4)
| relation_dom(relation_composition(X4,X3)) != relation_dom(X4)
| subset(relation_rng(X4),relation_dom(X3))
| ~ relation(X3)
| ~ function(X3) ),
inference(shift_quantors,[status(thm)],[91]) ).
cnf(93,plain,
( subset(relation_rng(X2),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| relation_dom(relation_composition(X2,X1)) != relation_dom(X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[92]) ).
fof(106,plain,
! [X2] : one_to_one(identity_relation(X2)),
inference(variable_rename,[status(thm)],[17]) ).
cnf(107,plain,
one_to_one(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[106]) ).
fof(131,negated_conjecture,
? [X1] :
( relation(X1)
& function(X1)
& ? [X2] :
( relation(X2)
& function(X2)
& relation_composition(X1,X2) = identity_relation(relation_dom(X1)) )
& ~ one_to_one(X1) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(132,negated_conjecture,
? [X3] :
( relation(X3)
& function(X3)
& ? [X4] :
( relation(X4)
& function(X4)
& relation_composition(X3,X4) = identity_relation(relation_dom(X3)) )
& ~ one_to_one(X3) ),
inference(variable_rename,[status(thm)],[131]) ).
fof(133,negated_conjecture,
( relation(esk5_0)
& function(esk5_0)
& relation(esk6_0)
& function(esk6_0)
& relation_composition(esk5_0,esk6_0) = identity_relation(relation_dom(esk5_0))
& ~ one_to_one(esk5_0) ),
inference(skolemize,[status(esa)],[132]) ).
cnf(134,negated_conjecture,
~ one_to_one(esk5_0),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(135,negated_conjecture,
relation_composition(esk5_0,esk6_0) = identity_relation(relation_dom(esk5_0)),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(136,negated_conjecture,
function(esk6_0),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(137,negated_conjecture,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(138,negated_conjecture,
function(esk5_0),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(139,negated_conjecture,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[133]) ).
fof(169,plain,
! [X2] :
( relation_dom(identity_relation(X2)) = X2
& relation_rng(identity_relation(X2)) = X2 ),
inference(variable_rename,[status(thm)],[35]) ).
cnf(171,plain,
relation_dom(identity_relation(X1)) = X1,
inference(split_conjunct,[status(thm)],[169]) ).
cnf(195,negated_conjecture,
one_to_one(relation_composition(esk5_0,esk6_0)),
inference(spm,[status(thm)],[107,135,theory(equality)]) ).
cnf(196,negated_conjecture,
relation_dom(relation_composition(esk5_0,esk6_0)) = relation_dom(esk5_0),
inference(spm,[status(thm)],[171,135,theory(equality)]) ).
cnf(249,plain,
( one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X2))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| relation_dom(relation_composition(X1,X2)) != relation_dom(X1) ),
inference(spm,[status(thm)],[65,93,theory(equality)]) ).
cnf(1154,negated_conjecture,
( one_to_one(esk5_0)
| relation_dom(relation_composition(esk5_0,esk6_0)) != relation_dom(esk5_0)
| ~ function(esk5_0)
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[249,195,theory(equality)]) ).
cnf(1159,negated_conjecture,
( one_to_one(esk5_0)
| $false
| ~ function(esk5_0)
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1154,196,theory(equality)]) ).
cnf(1160,negated_conjecture,
( one_to_one(esk5_0)
| $false
| $false
| ~ function(esk6_0)
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1159,138,theory(equality)]) ).
cnf(1161,negated_conjecture,
( one_to_one(esk5_0)
| $false
| $false
| $false
| ~ relation(esk5_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1160,136,theory(equality)]) ).
cnf(1162,negated_conjecture,
( one_to_one(esk5_0)
| $false
| $false
| $false
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[1161,139,theory(equality)]) ).
cnf(1163,negated_conjecture,
( one_to_one(esk5_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1162,137,theory(equality)]) ).
cnf(1164,negated_conjecture,
one_to_one(esk5_0),
inference(cn,[status(thm)],[1163,theory(equality)]) ).
cnf(1165,negated_conjecture,
$false,
inference(sr,[status(thm)],[1164,134,theory(equality)]) ).
cnf(1166,negated_conjecture,
$false,
1165,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU020+1.p
% --creating new selector for []
% -running prover on /tmp/tmpC6bBA5/sel_SEU020+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU020+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU020+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU020+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
%
%------------------------------------------------------------------------------