TSTP Solution File: SET076+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET076+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% 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 @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Fri Jun 15 08:05:13 EDT 2012
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 107 ( 5 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 120 ( 42 ~; 45 |; 28 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] :
( subclass(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/tmp/tmptfl_MQ/sel_SET076+1.p_1',subclass_defn) ).
fof(7,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( member(X3,universal_class)
& ( equal(X3,X1)
| equal(X3,X2) ) ) ),
file('/tmp/tmptfl_MQ/sel_SET076+1.p_1',unordered_pair_defn) ).
fof(9,conjecture,
! [X1,X2,X5] :
( ( member(X1,X5)
& member(X2,X5) )
=> subclass(unordered_pair(X1,X2),X5) ),
file('/tmp/tmptfl_MQ/sel_SET076+1.p_1',unordered_pair_is_subset) ).
fof(10,negated_conjecture,
~ ! [X1,X2,X5] :
( ( member(X1,X5)
& member(X2,X5) )
=> subclass(unordered_pair(X1,X2),X5) ),
inference(assume_negation,[status(cth)],[9]) ).
fof(17,plain,
! [X1,X2] :
( ( ~ subclass(X1,X2)
| ! [X3] :
( ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ member(X3,X2) )
| subclass(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(18,plain,
! [X4,X5] :
( ( ~ subclass(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( member(X7,X4)
& ~ member(X7,X5) )
| subclass(X4,X5) ) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,plain,
! [X4,X5] :
( ( ~ subclass(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subclass(X4,X5) ) ),
inference(skolemize,[status(esa)],[18]) ).
fof(20,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subclass(X4,X5) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subclass(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[19]) ).
fof(21,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subclass(X4,X5) )
& ( member(esk1_2(X4,X5),X4)
| subclass(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subclass(X4,X5) ) ),
inference(distribute,[status(thm)],[20]) ).
cnf(22,plain,
( subclass(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,plain,
( subclass(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(37,plain,
! [X3,X1,X2] :
( ( ~ member(X3,unordered_pair(X1,X2))
| ( member(X3,universal_class)
& ( equal(X3,X1)
| equal(X3,X2) ) ) )
& ( ~ member(X3,universal_class)
| ( ~ equal(X3,X1)
& ~ equal(X3,X2) )
| member(X3,unordered_pair(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(38,plain,
! [X4,X5,X6] :
( ( ~ member(X4,unordered_pair(X5,X6))
| ( member(X4,universal_class)
& ( equal(X4,X5)
| equal(X4,X6) ) ) )
& ( ~ member(X4,universal_class)
| ( ~ equal(X4,X5)
& ~ equal(X4,X6) )
| member(X4,unordered_pair(X5,X6)) ) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,plain,
! [X4,X5,X6] :
( ( member(X4,universal_class)
| ~ member(X4,unordered_pair(X5,X6)) )
& ( equal(X4,X5)
| equal(X4,X6)
| ~ member(X4,unordered_pair(X5,X6)) )
& ( ~ equal(X4,X5)
| ~ member(X4,universal_class)
| member(X4,unordered_pair(X5,X6)) )
& ( ~ equal(X4,X6)
| ~ member(X4,universal_class)
| member(X4,unordered_pair(X5,X6)) ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(42,plain,
( X1 = X3
| X1 = X2
| ~ member(X1,unordered_pair(X2,X3)) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(46,negated_conjecture,
? [X1,X2,X5] :
( member(X1,X5)
& member(X2,X5)
& ~ subclass(unordered_pair(X1,X2),X5) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(47,negated_conjecture,
? [X6,X7,X8] :
( member(X6,X8)
& member(X7,X8)
& ~ subclass(unordered_pair(X6,X7),X8) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
( member(esk2_0,esk4_0)
& member(esk3_0,esk4_0)
& ~ subclass(unordered_pair(esk2_0,esk3_0),esk4_0) ),
inference(skolemize,[status(esa)],[47]) ).
cnf(49,negated_conjecture,
~ subclass(unordered_pair(esk2_0,esk3_0),esk4_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
member(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(51,negated_conjecture,
member(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(61,plain,
( esk1_2(unordered_pair(X1,X2),X3) = X1
| esk1_2(unordered_pair(X1,X2),X3) = X2
| subclass(unordered_pair(X1,X2),X3) ),
inference(spm,[status(thm)],[42,23,theory(equality)]) ).
cnf(86,plain,
( subclass(unordered_pair(X1,X2),X3)
| esk1_2(unordered_pair(X1,X2),X3) = X1
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[22,61,theory(equality)]) ).
cnf(283,plain,
( subclass(unordered_pair(X1,X2),X3)
| ~ member(X1,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[22,86,theory(equality)]) ).
cnf(290,negated_conjecture,
( ~ member(esk2_0,esk4_0)
| ~ member(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[49,283,theory(equality)]) ).
cnf(299,negated_conjecture,
( $false
| ~ member(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[290,51,theory(equality)]) ).
cnf(300,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[299,50,theory(equality)]) ).
cnf(301,negated_conjecture,
$false,
inference(cn,[status(thm)],[300,theory(equality)]) ).
cnf(302,negated_conjecture,
$false,
301,
[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/SET/SET076+1.p
% --creating new selector for [SET005+0.ax]
% -running prover on /tmp/tmptfl_MQ/sel_SET076+1.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmptfl_MQ/sel_SET076+1.p_1']
% -prover status Theorem
% Problem SET076+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET076+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET076+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
%
%------------------------------------------------------------------------------