TSTP Solution File: SET576+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET576+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 02:57:18 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 102 ( 47 ~; 29 |; 17 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 38 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,conjecture,
! [X1,X2] :
( ! [X3] :
( member(X3,X1)
=> ~ member(X3,X2) )
=> disjoint(X1,X2) ),
file('/tmp/tmpLolmqf/sel_SET576+3.p_1',prove_th17) ).
fof(3,axiom,
! [X1,X2] :
( intersect(X1,X2)
<=> ? [X3] :
( member(X3,X1)
& member(X3,X2) ) ),
file('/tmp/tmpLolmqf/sel_SET576+3.p_1',intersect_defn) ).
fof(4,axiom,
! [X1,X2] :
( disjoint(X1,X2)
<=> ~ intersect(X1,X2) ),
file('/tmp/tmpLolmqf/sel_SET576+3.p_1',disjoint_defn) ).
fof(5,negated_conjecture,
~ ! [X1,X2] :
( ! [X3] :
( member(X3,X1)
=> ~ member(X3,X2) )
=> disjoint(X1,X2) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(6,negated_conjecture,
~ ! [X1,X2] :
( ! [X3] :
( member(X3,X1)
=> ~ member(X3,X2) )
=> disjoint(X1,X2) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(7,plain,
! [X1,X2] :
( disjoint(X1,X2)
<=> ~ intersect(X1,X2) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(11,negated_conjecture,
? [X1,X2] :
( ! [X3] :
( ~ member(X3,X1)
| ~ member(X3,X2) )
& ~ disjoint(X1,X2) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(12,negated_conjecture,
? [X4,X5] :
( ! [X6] :
( ~ member(X6,X4)
| ~ member(X6,X5) )
& ~ disjoint(X4,X5) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(13,negated_conjecture,
( ! [X6] :
( ~ member(X6,esk1_0)
| ~ member(X6,esk2_0) )
& ~ disjoint(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[12]) ).
fof(14,negated_conjecture,
! [X6] :
( ( ~ member(X6,esk1_0)
| ~ member(X6,esk2_0) )
& ~ disjoint(esk1_0,esk2_0) ),
inference(shift_quantors,[status(thm)],[13]) ).
cnf(15,negated_conjecture,
~ disjoint(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(16,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[14]) ).
fof(17,plain,
! [X1,X2] :
( ( ~ intersect(X1,X2)
| ? [X3] :
( member(X3,X1)
& member(X3,X2) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| ~ member(X3,X2) )
| intersect(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(18,plain,
! [X4,X5] :
( ( ~ intersect(X4,X5)
| ? [X6] :
( member(X6,X4)
& member(X6,X5) ) )
& ( ! [X7] :
( ~ member(X7,X4)
| ~ member(X7,X5) )
| intersect(X4,X5) ) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,plain,
! [X4,X5] :
( ( ~ intersect(X4,X5)
| ( member(esk3_2(X4,X5),X4)
& member(esk3_2(X4,X5),X5) ) )
& ( ! [X7] :
( ~ member(X7,X4)
| ~ member(X7,X5) )
| intersect(X4,X5) ) ),
inference(skolemize,[status(esa)],[18]) ).
fof(20,plain,
! [X4,X5,X7] :
( ( ~ member(X7,X4)
| ~ member(X7,X5)
| intersect(X4,X5) )
& ( ~ intersect(X4,X5)
| ( member(esk3_2(X4,X5),X4)
& member(esk3_2(X4,X5),X5) ) ) ),
inference(shift_quantors,[status(thm)],[19]) ).
fof(21,plain,
! [X4,X5,X7] :
( ( ~ member(X7,X4)
| ~ member(X7,X5)
| intersect(X4,X5) )
& ( member(esk3_2(X4,X5),X4)
| ~ intersect(X4,X5) )
& ( member(esk3_2(X4,X5),X5)
| ~ intersect(X4,X5) ) ),
inference(distribute,[status(thm)],[20]) ).
cnf(22,plain,
( member(esk3_2(X1,X2),X2)
| ~ intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,plain,
( member(esk3_2(X1,X2),X1)
| ~ intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(25,plain,
! [X1,X2] :
( ( ~ disjoint(X1,X2)
| ~ intersect(X1,X2) )
& ( intersect(X1,X2)
| disjoint(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(26,plain,
! [X3,X4] :
( ( ~ disjoint(X3,X4)
| ~ intersect(X3,X4) )
& ( intersect(X3,X4)
| disjoint(X3,X4) ) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,plain,
( disjoint(X1,X2)
| intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(29,negated_conjecture,
intersect(esk1_0,esk2_0),
inference(spm,[status(thm)],[15,27,theory(equality)]) ).
cnf(31,negated_conjecture,
( ~ member(esk3_2(X1,esk2_0),esk1_0)
| ~ intersect(X1,esk2_0) ),
inference(spm,[status(thm)],[16,22,theory(equality)]) ).
cnf(38,negated_conjecture,
~ intersect(esk1_0,esk2_0),
inference(spm,[status(thm)],[31,23,theory(equality)]) ).
cnf(39,negated_conjecture,
$false,
inference(rw,[status(thm)],[38,29,theory(equality)]) ).
cnf(40,negated_conjecture,
$false,
inference(cn,[status(thm)],[39,theory(equality)]) ).
cnf(41,negated_conjecture,
$false,
40,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET576+3.p
% --creating new selector for []
% -running prover on /tmp/tmpLolmqf/sel_SET576+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET576+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET576+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET576+3.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
%
%------------------------------------------------------------------------------