TSTP Solution File: SEU132+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU132+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 04:45:16 EST 2010
% Result : Theorem 0.81s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 176 ( 19 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 213 ( 79 ~; 86 |; 40 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 109 ( 6 sgn 52 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/tmp/tmpjOP1E-/sel_SEU132+1.p_1',d4_xboole_0) ).
fof(9,conjecture,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
file('/tmp/tmpjOP1E-/sel_SEU132+1.p_1',t33_xboole_1) ).
fof(13,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/tmp/tmpjOP1E-/sel_SEU132+1.p_1',d3_tarski) ).
fof(16,negated_conjecture,
~ ! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
inference(assume_negation,[status(cth)],[9]) ).
fof(18,plain,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(33,plain,
! [X1,X2,X3] :
( ( X3 != set_difference(X1,X2)
| ! [X4] :
( ( ~ in(X4,X3)
| ( in(X4,X1)
& ~ in(X4,X2) ) )
& ( ~ in(X4,X1)
| in(X4,X2)
| in(X4,X3) ) ) )
& ( ? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,X1)
| in(X4,X2) )
& ( in(X4,X3)
| ( in(X4,X1)
& ~ in(X4,X2) ) ) )
| X3 = set_difference(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(34,plain,
! [X5,X6,X7] :
( ( X7 != set_difference(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,X5)
& ~ in(X8,X6) ) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7) ) ) )
& ( ? [X9] :
( ( ~ in(X9,X7)
| ~ in(X9,X5)
| in(X9,X6) )
& ( in(X9,X7)
| ( in(X9,X5)
& ~ in(X9,X6) ) ) )
| X7 = set_difference(X5,X6) ) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,plain,
! [X5,X6,X7] :
( ( X7 != set_difference(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,X5)
& ~ in(X8,X6) ) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7) ) ) )
& ( ( ( ~ in(esk2_3(X5,X6,X7),X7)
| ~ in(esk2_3(X5,X6,X7),X5)
| in(esk2_3(X5,X6,X7),X6) )
& ( in(esk2_3(X5,X6,X7),X7)
| ( in(esk2_3(X5,X6,X7),X5)
& ~ in(esk2_3(X5,X6,X7),X6) ) ) )
| X7 = set_difference(X5,X6) ) ),
inference(skolemize,[status(esa)],[34]) ).
fof(36,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ in(X8,X7)
| ( in(X8,X5)
& ~ in(X8,X6) ) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7) ) )
| X7 != set_difference(X5,X6) )
& ( ( ( ~ in(esk2_3(X5,X6,X7),X7)
| ~ in(esk2_3(X5,X6,X7),X5)
| in(esk2_3(X5,X6,X7),X6) )
& ( in(esk2_3(X5,X6,X7),X7)
| ( in(esk2_3(X5,X6,X7),X5)
& ~ in(esk2_3(X5,X6,X7),X6) ) ) )
| X7 = set_difference(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[35]) ).
fof(37,plain,
! [X5,X6,X7,X8] :
( ( in(X8,X5)
| ~ in(X8,X7)
| X7 != set_difference(X5,X6) )
& ( ~ in(X8,X6)
| ~ in(X8,X7)
| X7 != set_difference(X5,X6) )
& ( ~ in(X8,X5)
| in(X8,X6)
| in(X8,X7)
| X7 != set_difference(X5,X6) )
& ( ~ in(esk2_3(X5,X6,X7),X7)
| ~ in(esk2_3(X5,X6,X7),X5)
| in(esk2_3(X5,X6,X7),X6)
| X7 = set_difference(X5,X6) )
& ( in(esk2_3(X5,X6,X7),X5)
| in(esk2_3(X5,X6,X7),X7)
| X7 = set_difference(X5,X6) )
& ( ~ in(esk2_3(X5,X6,X7),X6)
| in(esk2_3(X5,X6,X7),X7)
| X7 = set_difference(X5,X6) ) ),
inference(distribute,[status(thm)],[36]) ).
cnf(41,plain,
( in(X4,X1)
| in(X4,X3)
| X1 != set_difference(X2,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(42,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(43,plain,
( in(X4,X2)
| X1 != set_difference(X2,X3)
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(46,negated_conjecture,
? [X1,X2,X3] :
( subset(X1,X2)
& ~ subset(set_difference(X1,X3),set_difference(X2,X3)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(47,negated_conjecture,
? [X4,X5,X6] :
( subset(X4,X5)
& ~ subset(set_difference(X4,X6),set_difference(X5,X6)) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
( subset(esk3_0,esk4_0)
& ~ subset(set_difference(esk3_0,esk5_0),set_difference(esk4_0,esk5_0)) ),
inference(skolemize,[status(esa)],[47]) ).
cnf(49,negated_conjecture,
~ subset(set_difference(esk3_0,esk5_0),set_difference(esk4_0,esk5_0)),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
subset(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[48]) ).
fof(60,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ in(X3,X1)
| in(X3,X2) ) )
& ( ? [X3] :
( in(X3,X1)
& ~ in(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(61,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ? [X7] :
( in(X7,X4)
& ~ in(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ( in(esk7_2(X4,X5),X4)
& ~ in(esk7_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[61]) ).
fof(63,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( ( in(esk7_2(X4,X5),X4)
& ~ in(esk7_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[62]) ).
fof(64,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( in(esk7_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk7_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[63]) ).
cnf(65,plain,
( subset(X1,X2)
| ~ in(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(66,plain,
( subset(X1,X2)
| in(esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(67,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(78,negated_conjecture,
( in(X1,esk4_0)
| ~ in(X1,esk3_0) ),
inference(spm,[status(thm)],[67,50,theory(equality)]) ).
cnf(80,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[43,theory(equality)]) ).
cnf(84,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(er,[status(thm)],[42,theory(equality)]) ).
cnf(88,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[41,theory(equality)]) ).
cnf(107,negated_conjecture,
( subset(X1,esk4_0)
| ~ in(esk7_2(X1,esk4_0),esk3_0) ),
inference(spm,[status(thm)],[65,78,theory(equality)]) ).
cnf(113,plain,
( subset(set_difference(X1,X2),X3)
| ~ in(esk7_2(set_difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[84,66,theory(equality)]) ).
cnf(137,plain,
( in(esk7_2(set_difference(X1,X2),X3),X1)
| subset(set_difference(X1,X2),X3) ),
inference(spm,[status(thm)],[80,66,theory(equality)]) ).
cnf(225,plain,
( subset(X1,set_difference(X2,X3))
| in(esk7_2(X1,set_difference(X2,X3)),X3)
| ~ in(esk7_2(X1,set_difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[65,88,theory(equality)]) ).
cnf(245,negated_conjecture,
subset(set_difference(esk3_0,X1),esk4_0),
inference(spm,[status(thm)],[107,137,theory(equality)]) ).
cnf(261,negated_conjecture,
( in(X1,esk4_0)
| ~ in(X1,set_difference(esk3_0,X2)) ),
inference(spm,[status(thm)],[67,245,theory(equality)]) ).
cnf(307,negated_conjecture,
( in(esk7_2(set_difference(esk3_0,X1),X2),esk4_0)
| subset(set_difference(esk3_0,X1),X2) ),
inference(spm,[status(thm)],[261,66,theory(equality)]) ).
cnf(1788,negated_conjecture,
( subset(set_difference(esk3_0,X1),set_difference(esk4_0,X2))
| in(esk7_2(set_difference(esk3_0,X1),set_difference(esk4_0,X2)),X2) ),
inference(spm,[status(thm)],[225,307,theory(equality)]) ).
cnf(16457,negated_conjecture,
subset(set_difference(esk3_0,X1),set_difference(esk4_0,X1)),
inference(spm,[status(thm)],[113,1788,theory(equality)]) ).
cnf(16531,negated_conjecture,
$false,
inference(rw,[status(thm)],[49,16457,theory(equality)]) ).
cnf(16532,negated_conjecture,
$false,
inference(cn,[status(thm)],[16531,theory(equality)]) ).
cnf(16533,negated_conjecture,
$false,
16532,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU132+1.p
% --creating new selector for []
% -running prover on /tmp/tmpjOP1E-/sel_SEU132+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU132+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU132+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU132+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
%
%------------------------------------------------------------------------------