TSTP Solution File: SYN059+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SYN059+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 13:11:19 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 3
% Syntax : Number of formulae : 88 ( 20 unt; 0 def)
% Number of atoms : 347 ( 0 equ)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 397 ( 138 ~; 202 |; 49 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 64 ( 2 sgn 28 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
? [X1] : big_g(X1),
file('/tmp/tmp1JnJ5s/sel_SYN059+1.p_1',pel29_2) ).
fof(2,axiom,
? [X2] : big_f(X2),
file('/tmp/tmp1JnJ5s/sel_SYN059+1.p_1',pel29_1) ).
fof(3,conjecture,
( ( ! [X2] :
( big_f(X2)
=> big_h(X2) )
& ! [X3] :
( big_g(X3)
=> big_j(X3) ) )
<=> ! [X4,X1] :
( ( big_f(X4)
& big_g(X1) )
=> ( big_h(X4)
& big_j(X1) ) ) ),
file('/tmp/tmp1JnJ5s/sel_SYN059+1.p_1',pel29) ).
fof(4,negated_conjecture,
~ ( ( ! [X2] :
( big_f(X2)
=> big_h(X2) )
& ! [X3] :
( big_g(X3)
=> big_j(X3) ) )
<=> ! [X4,X1] :
( ( big_f(X4)
& big_g(X1) )
=> ( big_h(X4)
& big_j(X1) ) ) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
? [X2] : big_g(X2),
inference(variable_rename,[status(thm)],[1]) ).
fof(6,plain,
big_g(esk1_0),
inference(skolemize,[status(esa)],[5]) ).
cnf(7,plain,
big_g(esk1_0),
inference(split_conjunct,[status(thm)],[6]) ).
fof(8,plain,
? [X3] : big_f(X3),
inference(variable_rename,[status(thm)],[2]) ).
fof(9,plain,
big_f(esk2_0),
inference(skolemize,[status(esa)],[8]) ).
cnf(10,plain,
big_f(esk2_0),
inference(split_conjunct,[status(thm)],[9]) ).
fof(11,negated_conjecture,
( ( ? [X2] :
( big_f(X2)
& ~ big_h(X2) )
| ? [X3] :
( big_g(X3)
& ~ big_j(X3) )
| ? [X4,X1] :
( big_f(X4)
& big_g(X1)
& ( ~ big_h(X4)
| ~ big_j(X1) ) ) )
& ( ( ! [X2] :
( ~ big_f(X2)
| big_h(X2) )
& ! [X3] :
( ~ big_g(X3)
| big_j(X3) ) )
| ! [X4,X1] :
( ~ big_f(X4)
| ~ big_g(X1)
| ( big_h(X4)
& big_j(X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(12,negated_conjecture,
( ( ? [X5] :
( big_f(X5)
& ~ big_h(X5) )
| ? [X6] :
( big_g(X6)
& ~ big_j(X6) )
| ? [X7,X8] :
( big_f(X7)
& big_g(X8)
& ( ~ big_h(X7)
| ~ big_j(X8) ) ) )
& ( ( ! [X9] :
( ~ big_f(X9)
| big_h(X9) )
& ! [X10] :
( ~ big_g(X10)
| big_j(X10) ) )
| ! [X11,X12] :
( ~ big_f(X11)
| ~ big_g(X12)
| ( big_h(X11)
& big_j(X12) ) ) ) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(13,negated_conjecture,
( ( ( big_f(esk3_0)
& ~ big_h(esk3_0) )
| ( big_g(esk4_0)
& ~ big_j(esk4_0) )
| ( big_f(esk5_0)
& big_g(esk6_0)
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0) ) ) )
& ( ( ! [X9] :
( ~ big_f(X9)
| big_h(X9) )
& ! [X10] :
( ~ big_g(X10)
| big_j(X10) ) )
| ! [X11,X12] :
( ~ big_f(X11)
| ~ big_g(X12)
| ( big_h(X11)
& big_j(X12) ) ) ) ),
inference(skolemize,[status(esa)],[12]) ).
fof(14,negated_conjecture,
! [X9,X10,X11,X12] :
( ( ~ big_f(X11)
| ~ big_g(X12)
| ( big_h(X11)
& big_j(X12) )
| ( ( ~ big_g(X10)
| big_j(X10) )
& ( ~ big_f(X9)
| big_h(X9) ) ) )
& ( ( big_f(esk3_0)
& ~ big_h(esk3_0) )
| ( big_g(esk4_0)
& ~ big_j(esk4_0) )
| ( big_f(esk5_0)
& big_g(esk6_0)
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0) ) ) ) ),
inference(shift_quantors,[status(thm)],[13]) ).
fof(15,negated_conjecture,
! [X9,X10,X11,X12] :
( ( ~ big_g(X10)
| big_j(X10)
| big_h(X11)
| ~ big_f(X11)
| ~ big_g(X12) )
& ( ~ big_f(X9)
| big_h(X9)
| big_h(X11)
| ~ big_f(X11)
| ~ big_g(X12) )
& ( ~ big_g(X10)
| big_j(X10)
| big_j(X12)
| ~ big_f(X11)
| ~ big_g(X12) )
& ( ~ big_f(X9)
| big_h(X9)
| big_j(X12)
| ~ big_f(X11)
| ~ big_g(X12) )
& ( big_f(esk5_0)
| big_g(esk4_0)
| big_f(esk3_0) )
& ( big_g(esk6_0)
| big_g(esk4_0)
| big_f(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| big_g(esk4_0)
| big_f(esk3_0) )
& ( big_f(esk5_0)
| ~ big_j(esk4_0)
| big_f(esk3_0) )
& ( big_g(esk6_0)
| ~ big_j(esk4_0)
| big_f(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| ~ big_j(esk4_0)
| big_f(esk3_0) )
& ( big_f(esk5_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) )
& ( big_g(esk6_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| big_g(esk4_0)
| ~ big_h(esk3_0) )
& ( big_f(esk5_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) )
& ( big_g(esk6_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) )
& ( ~ big_h(esk5_0)
| ~ big_j(esk6_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ) ),
inference(distribute,[status(thm)],[14]) ).
cnf(16,negated_conjecture,
( ~ big_h(esk3_0)
| ~ big_j(esk4_0)
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(17,negated_conjecture,
( big_g(esk6_0)
| ~ big_h(esk3_0)
| ~ big_j(esk4_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(18,negated_conjecture,
( big_f(esk5_0)
| ~ big_h(esk3_0)
| ~ big_j(esk4_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(19,negated_conjecture,
( big_g(esk4_0)
| ~ big_h(esk3_0)
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(20,negated_conjecture,
( big_g(esk4_0)
| big_g(esk6_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(21,negated_conjecture,
( big_g(esk4_0)
| big_f(esk5_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(22,negated_conjecture,
( big_f(esk3_0)
| ~ big_j(esk4_0)
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(23,negated_conjecture,
( big_f(esk3_0)
| big_g(esk6_0)
| ~ big_j(esk4_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(24,negated_conjecture,
( big_f(esk3_0)
| big_f(esk5_0)
| ~ big_j(esk4_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(25,negated_conjecture,
( big_f(esk3_0)
| big_g(esk4_0)
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(26,negated_conjecture,
( big_f(esk3_0)
| big_g(esk4_0)
| big_g(esk6_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(27,negated_conjecture,
( big_f(esk3_0)
| big_g(esk4_0)
| big_f(esk5_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(29,negated_conjecture,
( big_j(X1)
| big_j(X3)
| ~ big_g(X1)
| ~ big_f(X2)
| ~ big_g(X3) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(30,negated_conjecture,
( big_h(X2)
| big_h(X3)
| ~ big_g(X1)
| ~ big_f(X2)
| ~ big_f(X3) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(32,negated_conjecture,
( big_h(X1)
| big_h(X2)
| ~ big_f(X2)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[30,7,theory(equality)]) ).
cnf(37,negated_conjecture,
( big_j(X1)
| big_j(X2)
| ~ big_g(X2)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[29,10,theory(equality)]) ).
cnf(41,negated_conjecture,
( big_h(esk3_0)
| big_h(X1)
| big_g(esk6_0)
| big_g(esk4_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,26,theory(equality)]) ).
cnf(42,negated_conjecture,
( big_h(esk5_0)
| big_h(X1)
| big_f(esk3_0)
| big_g(esk4_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,27,theory(equality)]) ).
cnf(89,negated_conjecture,
( big_h(X1)
| big_g(esk4_0)
| big_g(esk6_0)
| ~ big_f(X1) ),
inference(csr,[status(thm)],[41,20]) ).
cnf(90,negated_conjecture,
( big_g(esk6_0)
| big_g(esk4_0)
| ~ big_f(esk3_0) ),
inference(spm,[status(thm)],[20,89,theory(equality)]) ).
cnf(92,negated_conjecture,
( big_g(esk6_0)
| big_g(esk4_0) ),
inference(csr,[status(thm)],[90,26]) ).
cnf(93,negated_conjecture,
( big_j(esk6_0)
| big_j(X1)
| big_g(esk4_0)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[37,92,theory(equality)]) ).
cnf(95,negated_conjecture,
( big_h(esk5_0)
| big_f(esk3_0)
| big_g(esk4_0) ),
inference(spm,[status(thm)],[42,27,theory(equality)]) ).
cnf(98,negated_conjecture,
( big_j(esk6_0)
| big_g(esk4_0) ),
inference(spm,[status(thm)],[93,92,theory(equality)]) ).
cnf(100,negated_conjecture,
( big_f(esk3_0)
| big_g(esk4_0)
| ~ big_h(esk5_0) ),
inference(spm,[status(thm)],[25,98,theory(equality)]) ).
cnf(101,negated_conjecture,
( big_g(esk4_0)
| ~ big_h(esk3_0)
| ~ big_h(esk5_0) ),
inference(spm,[status(thm)],[19,98,theory(equality)]) ).
cnf(104,negated_conjecture,
( big_f(esk3_0)
| big_g(esk4_0) ),
inference(csr,[status(thm)],[100,95]) ).
cnf(105,negated_conjecture,
( big_h(esk3_0)
| big_h(X1)
| big_g(esk4_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,104,theory(equality)]) ).
cnf(110,negated_conjecture,
( big_h(esk3_0)
| big_g(esk4_0) ),
inference(spm,[status(thm)],[105,104,theory(equality)]) ).
cnf(118,negated_conjecture,
( big_f(esk5_0)
| big_g(esk4_0) ),
inference(spm,[status(thm)],[21,110,theory(equality)]) ).
cnf(119,negated_conjecture,
( big_h(esk5_0)
| big_h(X1)
| big_g(esk4_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,118,theory(equality)]) ).
cnf(129,negated_conjecture,
( big_h(esk5_0)
| big_g(esk4_0) ),
inference(spm,[status(thm)],[119,118,theory(equality)]) ).
cnf(131,negated_conjecture,
( big_g(esk4_0)
| ~ big_h(esk3_0) ),
inference(spm,[status(thm)],[101,129,theory(equality)]) ).
cnf(132,negated_conjecture,
big_g(esk4_0),
inference(csr,[status(thm)],[131,110]) ).
cnf(133,negated_conjecture,
( big_j(esk4_0)
| big_j(X1)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[37,132,theory(equality)]) ).
cnf(142,negated_conjecture,
big_j(esk4_0),
inference(spm,[status(thm)],[133,132,theory(equality)]) ).
cnf(145,negated_conjecture,
( $false
| ~ big_j(esk6_0)
| ~ big_h(esk3_0)
| ~ big_h(esk5_0) ),
inference(rw,[status(thm)],[16,142,theory(equality)]) ).
cnf(146,negated_conjecture,
( ~ big_j(esk6_0)
| ~ big_h(esk3_0)
| ~ big_h(esk5_0) ),
inference(cn,[status(thm)],[145,theory(equality)]) ).
cnf(147,negated_conjecture,
( big_f(esk3_0)
| $false
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(rw,[status(thm)],[22,142,theory(equality)]) ).
cnf(148,negated_conjecture,
( big_f(esk3_0)
| ~ big_j(esk6_0)
| ~ big_h(esk5_0) ),
inference(cn,[status(thm)],[147,theory(equality)]) ).
cnf(149,negated_conjecture,
( big_f(esk5_0)
| $false
| ~ big_h(esk3_0) ),
inference(rw,[status(thm)],[18,142,theory(equality)]) ).
cnf(150,negated_conjecture,
( big_f(esk5_0)
| ~ big_h(esk3_0) ),
inference(cn,[status(thm)],[149,theory(equality)]) ).
cnf(151,negated_conjecture,
( big_g(esk6_0)
| $false
| ~ big_h(esk3_0) ),
inference(rw,[status(thm)],[17,142,theory(equality)]) ).
cnf(152,negated_conjecture,
( big_g(esk6_0)
| ~ big_h(esk3_0) ),
inference(cn,[status(thm)],[151,theory(equality)]) ).
cnf(153,negated_conjecture,
( big_f(esk5_0)
| big_f(esk3_0)
| $false ),
inference(rw,[status(thm)],[24,142,theory(equality)]) ).
cnf(154,negated_conjecture,
( big_f(esk5_0)
| big_f(esk3_0) ),
inference(cn,[status(thm)],[153,theory(equality)]) ).
cnf(155,negated_conjecture,
( big_f(esk3_0)
| big_g(esk6_0)
| $false ),
inference(rw,[status(thm)],[23,142,theory(equality)]) ).
cnf(156,negated_conjecture,
( big_f(esk3_0)
| big_g(esk6_0) ),
inference(cn,[status(thm)],[155,theory(equality)]) ).
cnf(157,negated_conjecture,
( big_h(esk5_0)
| big_h(X1)
| big_f(esk3_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,154,theory(equality)]) ).
cnf(159,negated_conjecture,
( big_h(esk3_0)
| big_h(X1)
| big_g(esk6_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,156,theory(equality)]) ).
cnf(167,negated_conjecture,
( big_h(esk5_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[157,154,theory(equality)]) ).
cnf(170,negated_conjecture,
( big_h(X1)
| big_g(esk6_0)
| ~ big_f(X1) ),
inference(csr,[status(thm)],[159,152]) ).
cnf(172,negated_conjecture,
( big_g(esk6_0)
| ~ big_f(esk3_0) ),
inference(spm,[status(thm)],[152,170,theory(equality)]) ).
cnf(173,negated_conjecture,
big_g(esk6_0),
inference(csr,[status(thm)],[172,156]) ).
cnf(174,negated_conjecture,
( big_j(esk6_0)
| big_j(X1)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[37,173,theory(equality)]) ).
cnf(181,negated_conjecture,
big_j(esk6_0),
inference(spm,[status(thm)],[174,173,theory(equality)]) ).
cnf(185,negated_conjecture,
( big_f(esk3_0)
| $false
| ~ big_h(esk5_0) ),
inference(rw,[status(thm)],[148,181,theory(equality)]) ).
cnf(186,negated_conjecture,
( big_f(esk3_0)
| ~ big_h(esk5_0) ),
inference(cn,[status(thm)],[185,theory(equality)]) ).
cnf(187,negated_conjecture,
( $false
| ~ big_h(esk3_0)
| ~ big_h(esk5_0) ),
inference(rw,[status(thm)],[146,181,theory(equality)]) ).
cnf(188,negated_conjecture,
( ~ big_h(esk3_0)
| ~ big_h(esk5_0) ),
inference(cn,[status(thm)],[187,theory(equality)]) ).
cnf(189,negated_conjecture,
big_f(esk3_0),
inference(csr,[status(thm)],[186,167]) ).
cnf(190,negated_conjecture,
( big_h(esk3_0)
| big_h(X1)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,189,theory(equality)]) ).
cnf(195,negated_conjecture,
big_h(esk3_0),
inference(spm,[status(thm)],[190,189,theory(equality)]) ).
cnf(197,negated_conjecture,
( $false
| ~ big_h(esk5_0) ),
inference(rw,[status(thm)],[188,195,theory(equality)]) ).
cnf(198,negated_conjecture,
~ big_h(esk5_0),
inference(cn,[status(thm)],[197,theory(equality)]) ).
cnf(201,negated_conjecture,
( big_f(esk5_0)
| $false ),
inference(rw,[status(thm)],[150,195,theory(equality)]) ).
cnf(202,negated_conjecture,
big_f(esk5_0),
inference(cn,[status(thm)],[201,theory(equality)]) ).
cnf(203,negated_conjecture,
( big_h(esk5_0)
| big_h(X1)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[32,202,theory(equality)]) ).
cnf(205,negated_conjecture,
( big_h(X1)
| ~ big_f(X1) ),
inference(sr,[status(thm)],[203,198,theory(equality)]) ).
cnf(207,negated_conjecture,
~ big_f(esk5_0),
inference(spm,[status(thm)],[198,205,theory(equality)]) ).
cnf(208,negated_conjecture,
$false,
inference(rw,[status(thm)],[207,202,theory(equality)]) ).
cnf(209,negated_conjecture,
$false,
inference(cn,[status(thm)],[208,theory(equality)]) ).
cnf(210,negated_conjecture,
$false,
209,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN059+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1JnJ5s/sel_SYN059+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN059+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN059+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN059+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
%
%------------------------------------------------------------------------------