TSTP Solution File: SYN334+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SYN334+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 13:15:04 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 155 ( 59 ~; 58 |; 24 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 56 ( 2 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
file('/tmp/tmpKloW5A/sel_SYN334+1.p_1',church_46_14_6) ).
fof(2,negated_conjecture,
~ ? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,negated_conjecture,
! [X1,X2] :
? [X3] :
( ( ~ big_f(X1,X2)
| ( ( ~ big_f(X1,X3)
| big_g(X2,X3) )
& ( ~ big_g(X2,X3)
| big_f(X1,X3) ) ) )
& ( ~ big_f(X1,X2)
| ~ big_f(X3,X3)
| big_g(X3,X3) )
& ( ( big_f(X3,X3)
& ~ big_g(X3,X3) )
| big_f(X1,X2) )
& ( ~ big_g(X1,X2)
| ~ big_g(X3,X3) )
& ( big_g(X1,X2)
| big_g(X3,X3) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(4,negated_conjecture,
! [X4,X5] :
? [X6] :
( ( ~ big_f(X4,X5)
| ( ( ~ big_f(X4,X6)
| big_g(X5,X6) )
& ( ~ big_g(X5,X6)
| big_f(X4,X6) ) ) )
& ( ~ big_f(X4,X5)
| ~ big_f(X6,X6)
| big_g(X6,X6) )
& ( ( big_f(X6,X6)
& ~ big_g(X6,X6) )
| big_f(X4,X5) )
& ( ~ big_g(X4,X5)
| ~ big_g(X6,X6) )
& ( big_g(X4,X5)
| big_g(X6,X6) ) ),
inference(variable_rename,[status(thm)],[3]) ).
fof(5,negated_conjecture,
! [X4,X5] :
( ( ~ big_f(X4,X5)
| ( ( ~ big_f(X4,esk1_2(X4,X5))
| big_g(X5,esk1_2(X4,X5)) )
& ( ~ big_g(X5,esk1_2(X4,X5))
| big_f(X4,esk1_2(X4,X5)) ) ) )
& ( ~ big_f(X4,X5)
| ~ big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( ( big_f(esk1_2(X4,X5),esk1_2(X4,X5))
& ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
| big_f(X4,X5) )
& ( ~ big_g(X4,X5)
| ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_g(X4,X5)
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) ) ),
inference(skolemize,[status(esa)],[4]) ).
fof(6,negated_conjecture,
! [X4,X5] :
( ( ~ big_f(X4,esk1_2(X4,X5))
| big_g(X5,esk1_2(X4,X5))
| ~ big_f(X4,X5) )
& ( ~ big_g(X5,esk1_2(X4,X5))
| big_f(X4,esk1_2(X4,X5))
| ~ big_f(X4,X5) )
& ( ~ big_f(X4,X5)
| ~ big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| big_f(X4,X5) )
& ( ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5))
| big_f(X4,X5) )
& ( ~ big_g(X4,X5)
| ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_g(X4,X5)
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) ) ),
inference(distribute,[status(thm)],[5]) ).
cnf(7,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(8,negated_conjecture,
( ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(9,negated_conjecture,
( big_f(X1,X2)
| ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(10,negated_conjecture,
( big_f(X1,X2)
| big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(11,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(12,negated_conjecture,
( big_f(X1,esk1_2(X1,X2))
| ~ big_f(X1,X2)
| ~ big_g(X2,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(13,negated_conjecture,
( big_g(X2,esk1_2(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(14,negated_conjecture,
( big_f(X1,X2)
| big_g(X1,X2) ),
inference(spm,[status(thm)],[9,7,theory(equality)]) ).
cnf(17,negated_conjecture,
( ~ big_g(X1,X2)
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(X1,X2) ),
inference(spm,[status(thm)],[8,11,theory(equality)]) ).
cnf(19,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_g(X1,X2) ),
inference(spm,[status(thm)],[8,14,theory(equality)]) ).
cnf(20,negated_conjecture,
( big_f(X1,esk1_2(X1,X2))
| big_f(X2,esk1_2(X1,X2))
| ~ big_f(X1,X2) ),
inference(spm,[status(thm)],[12,14,theory(equality)]) ).
cnf(22,negated_conjecture,
( ~ big_g(X1,X2)
| ~ big_f(X1,X2) ),
inference(spm,[status(thm)],[17,19,theory(equality)]) ).
cnf(23,negated_conjecture,
( big_g(X1,X2)
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(spm,[status(thm)],[22,7,theory(equality)]) ).
cnf(29,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ big_g(X1,X2) ),
inference(spm,[status(thm)],[20,19,theory(equality)]) ).
cnf(34,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_g(X1,X2) ),
inference(spm,[status(thm)],[13,29,theory(equality)]) ).
cnf(36,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(csr,[status(thm)],[34,23]) ).
cnf(37,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(spm,[status(thm)],[12,36,theory(equality)]) ).
cnf(38,negated_conjecture,
( ~ big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(spm,[status(thm)],[22,36,theory(equality)]) ).
cnf(41,negated_conjecture,
~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)),
inference(csr,[status(thm)],[38,37]) ).
cnf(43,negated_conjecture,
big_f(X1,X2),
inference(sr,[status(thm)],[10,41,theory(equality)]) ).
cnf(44,negated_conjecture,
$false,
inference(rw,[status(thm)],[41,43,theory(equality)]) ).
cnf(45,negated_conjecture,
$false,
inference(cn,[status(thm)],[44,theory(equality)]) ).
cnf(46,negated_conjecture,
$false,
45,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN334+1.p
% --creating new selector for []
% -running prover on /tmp/tmpKloW5A/sel_SYN334+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN334+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN334+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN334+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
%
%------------------------------------------------------------------------------