%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SYN353+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 13:16:30 EST 2010
% Result : Theorem 0.30s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 1
% Syntax : Number of formulae : 64 ( 8 unt; 0 def)
% Number of atoms : 361 ( 0 equ)
% Maximal formula atoms : 47 ( 5 avg)
% Number of connectives : 421 ( 124 ~; 179 |; 76 &)
% ( 12 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 143 ( 12 sgn 18 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1] :
? [X2,X3,X4] :
! [X5] :
( ( big_f(X2,X3,X4)
=> ( big_f(X1,X1,X5)
=> ( big_f(X3,X4,X2)
| big_f(X4,X2,X3) ) ) )
=> ( ( ( big_f(X4,X2,X3)
=> ( big_f(X2,X3,X4)
& big_f(X3,X4,X2) ) )
<=> big_f(X3,X2,X5) )
=> ( ( ( big_f(X3,X4,X2)
=> ( big_f(X2,X3,X4)
& big_f(X4,X2,X3) ) )
<=> big_f(X2,X5,X3) )
=> ( ( ( ( big_f(X4,X2,X3)
=> ~ big_f(X3,X4,X2) )
=> big_f(X2,X3,X4) )
<=> big_f(X5,X3,X2) )
=> ( ( big_f(X2,X3,X4)
& big_f(X3,X4,X2)
& big_f(X4,X2,X3) )
<=> big_f(X5,X5,X5) ) ) ) ) ),
file('/tmp/tmpIkOhxT/sel_SYN353+1.p_1',church_46_18_5) ).
fof(2,negated_conjecture,
~ ! [X1] :
? [X2,X3,X4] :
! [X5] :
( ( big_f(X2,X3,X4)
=> ( big_f(X1,X1,X5)
=> ( big_f(X3,X4,X2)
| big_f(X4,X2,X3) ) ) )
=> ( ( ( big_f(X4,X2,X3)
=> ( big_f(X2,X3,X4)
& big_f(X3,X4,X2) ) )
<=> big_f(X3,X2,X5) )
=> ( ( ( big_f(X3,X4,X2)
=> ( big_f(X2,X3,X4)
& big_f(X4,X2,X3) ) )
<=> big_f(X2,X5,X3) )
=> ( ( ( ( big_f(X4,X2,X3)
=> ~ big_f(X3,X4,X2) )
=> big_f(X2,X3,X4) )
<=> big_f(X5,X3,X2) )
=> ( ( big_f(X2,X3,X4)
& big_f(X3,X4,X2)
& big_f(X4,X2,X3) )
<=> big_f(X5,X5,X5) ) ) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,negated_conjecture,
~ ! [X1] :
? [X2,X3,X4] :
! [X5] :
( ( big_f(X2,X3,X4)
=> ( big_f(X1,X1,X5)
=> ( big_f(X3,X4,X2)
| big_f(X4,X2,X3) ) ) )
=> ( ( ( big_f(X4,X2,X3)
=> ( big_f(X2,X3,X4)
& big_f(X3,X4,X2) ) )
<=> big_f(X3,X2,X5) )
=> ( ( ( big_f(X3,X4,X2)
=> ( big_f(X2,X3,X4)
& big_f(X4,X2,X3) ) )
<=> big_f(X2,X5,X3) )
=> ( ( ( ( big_f(X4,X2,X3)
=> ~ big_f(X3,X4,X2) )
=> big_f(X2,X3,X4) )
<=> big_f(X5,X3,X2) )
=> ( ( big_f(X2,X3,X4)
& big_f(X3,X4,X2)
& big_f(X4,X2,X3) )
<=> big_f(X5,X5,X5) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(4,negated_conjecture,
? [X1] :
! [X2,X3,X4] :
? [X5] :
( ( ~ big_f(X2,X3,X4)
| ~ big_f(X1,X1,X5)
| big_f(X3,X4,X2)
| big_f(X4,X2,X3) )
& ( ( big_f(X4,X2,X3)
& ( ~ big_f(X2,X3,X4)
| ~ big_f(X3,X4,X2) ) )
| big_f(X3,X2,X5) )
& ( ~ big_f(X3,X2,X5)
| ~ big_f(X4,X2,X3)
| ( big_f(X2,X3,X4)
& big_f(X3,X4,X2) ) )
& ( ( big_f(X3,X4,X2)
& ( ~ big_f(X2,X3,X4)
| ~ big_f(X4,X2,X3) ) )
| big_f(X2,X5,X3) )
& ( ~ big_f(X2,X5,X3)
| ~ big_f(X3,X4,X2)
| ( big_f(X2,X3,X4)
& big_f(X4,X2,X3) ) )
& ( ( ( ~ big_f(X4,X2,X3)
| ~ big_f(X3,X4,X2) )
& ~ big_f(X2,X3,X4) )
| big_f(X5,X3,X2) )
& ( ~ big_f(X5,X3,X2)
| ( big_f(X4,X2,X3)
& big_f(X3,X4,X2) )
| big_f(X2,X3,X4) )
& ( ~ big_f(X2,X3,X4)
| ~ big_f(X3,X4,X2)
| ~ big_f(X4,X2,X3)
| ~ big_f(X5,X5,X5) )
& ( ( big_f(X2,X3,X4)
& big_f(X3,X4,X2)
& big_f(X4,X2,X3) )
| big_f(X5,X5,X5) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(5,negated_conjecture,
? [X6] :
! [X7,X8,X9] :
? [X10] :
( ( ~ big_f(X7,X8,X9)
| ~ big_f(X6,X6,X10)
| big_f(X8,X9,X7)
| big_f(X9,X7,X8) )
& ( ( big_f(X9,X7,X8)
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7) ) )
| big_f(X8,X7,X10) )
& ( ~ big_f(X8,X7,X10)
| ~ big_f(X9,X7,X8)
| ( big_f(X7,X8,X9)
& big_f(X8,X9,X7) ) )
& ( ( big_f(X8,X9,X7)
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X9,X7,X8) ) )
| big_f(X7,X10,X8) )
& ( ~ big_f(X7,X10,X8)
| ~ big_f(X8,X9,X7)
| ( big_f(X7,X8,X9)
& big_f(X9,X7,X8) ) )
& ( ( ( ~ big_f(X9,X7,X8)
| ~ big_f(X8,X9,X7) )
& ~ big_f(X7,X8,X9) )
| big_f(X10,X8,X7) )
& ( ~ big_f(X10,X8,X7)
| ( big_f(X9,X7,X8)
& big_f(X8,X9,X7) )
| big_f(X7,X8,X9) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| ~ big_f(X9,X7,X8)
| ~ big_f(X10,X10,X10) )
& ( ( big_f(X7,X8,X9)
& big_f(X8,X9,X7)
& big_f(X9,X7,X8) )
| big_f(X10,X10,X10) ) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(6,negated_conjecture,
! [X7,X8,X9] :
( ( ~ big_f(X7,X8,X9)
| ~ big_f(esk1_0,esk1_0,esk2_3(X7,X8,X9))
| big_f(X8,X9,X7)
| big_f(X9,X7,X8) )
& ( ( big_f(X9,X7,X8)
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7) ) )
| big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( ~ big_f(X8,X7,esk2_3(X7,X8,X9))
| ~ big_f(X9,X7,X8)
| ( big_f(X7,X8,X9)
& big_f(X8,X9,X7) ) )
& ( ( big_f(X8,X9,X7)
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X9,X7,X8) ) )
| big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( ~ big_f(X7,esk2_3(X7,X8,X9),X8)
| ~ big_f(X8,X9,X7)
| ( big_f(X7,X8,X9)
& big_f(X9,X7,X8) ) )
& ( ( ( ~ big_f(X9,X7,X8)
| ~ big_f(X8,X9,X7) )
& ~ big_f(X7,X8,X9) )
| big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( ~ big_f(esk2_3(X7,X8,X9),X8,X7)
| ( big_f(X9,X7,X8)
& big_f(X8,X9,X7) )
| big_f(X7,X8,X9) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| ~ big_f(X9,X7,X8)
| ~ big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
& ( ( big_f(X7,X8,X9)
& big_f(X8,X9,X7)
& big_f(X9,X7,X8) )
| big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) ) ),
inference(skolemize,[status(esa)],[5]) ).
fof(7,negated_conjecture,
! [X7,X8,X9] :
( ( ~ big_f(X7,X8,X9)
| ~ big_f(esk1_0,esk1_0,esk2_3(X7,X8,X9))
| big_f(X8,X9,X7)
| big_f(X9,X7,X8) )
& ( big_f(X9,X7,X8)
| big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( big_f(X7,X8,X9)
| ~ big_f(X9,X7,X8)
| ~ big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( big_f(X8,X9,X7)
| ~ big_f(X9,X7,X8)
| ~ big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( big_f(X8,X9,X7)
| big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X9,X7,X8)
| big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| ~ big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( big_f(X9,X7,X8)
| ~ big_f(X8,X9,X7)
| ~ big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( ~ big_f(X9,X7,X8)
| ~ big_f(X8,X9,X7)
| big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( ~ big_f(X7,X8,X9)
| big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( big_f(X9,X7,X8)
| big_f(X7,X8,X9)
| ~ big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( big_f(X8,X9,X7)
| big_f(X7,X8,X9)
| ~ big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| ~ big_f(X9,X7,X8)
| ~ big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
& ( big_f(X7,X8,X9)
| big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
& ( big_f(X8,X9,X7)
| big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
& ( big_f(X9,X7,X8)
| big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) ) ),
inference(distribute,[status(thm)],[6]) ).
cnf(11,negated_conjecture,
( ~ big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(12,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X2,X3,X1)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(13,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(15,negated_conjecture,
( big_f(esk2_3(X1,X2,X3),X2,X1)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(16,negated_conjecture,
( big_f(X3,X1,X2)
| ~ big_f(X1,esk2_3(X1,X2,X3),X2)
| ~ big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(17,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X1,esk2_3(X1,X2,X3),X2)
| ~ big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(19,negated_conjecture,
( big_f(X1,esk2_3(X1,X2,X3),X2)
| big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(20,negated_conjecture,
( big_f(X1,X3,X2)
| ~ big_f(X1,X2,esk2_3(X2,X1,X3))
| ~ big_f(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(21,negated_conjecture,
( big_f(X2,X1,X3)
| ~ big_f(X1,X2,esk2_3(X2,X1,X3))
| ~ big_f(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(23,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(24,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(esk1_0,esk1_0,esk2_3(X2,X3,X1))
| ~ big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(37,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| big_f(esk1_0,X1,esk1_0)
| ~ big_f(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[24,23,theory(equality)]) ).
cnf(42,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0)
| big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[37,23,theory(equality)]) ).
cnf(44,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| big_f(X1,esk1_0,esk1_0)
| big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[13,42,theory(equality)]) ).
cnf(46,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| big_f(esk1_0,esk1_0,X1)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[16,44,theory(equality)]) ).
cnf(48,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0)
| big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[46,19,theory(equality)]) ).
cnf(52,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| big_f(esk1_0,X1,esk1_0)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1)) ),
inference(spm,[status(thm)],[12,48,theory(equality)]) ).
cnf(53,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| big_f(esk1_0,X1,esk1_0)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[21,52,theory(equality)]) ).
cnf(58,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| ~ big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[53,15,theory(equality)]) ).
cnf(81,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(csr,[status(thm)],[58,19]) ).
cnf(82,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1)) ),
inference(csr,[status(thm)],[81,23]) ).
cnf(84,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[17,82,theory(equality)]) ).
cnf(85,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0) ),
inference(spm,[status(thm)],[46,82,theory(equality)]) ).
cnf(91,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk1_0,esk1_0,X1) ),
inference(csr,[status(thm)],[84,52]) ).
cnf(92,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[21,91,theory(equality)]) ).
cnf(99,negated_conjecture,
big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1)),
inference(spm,[status(thm)],[92,85,theory(equality)]) ).
cnf(101,negated_conjecture,
( big_f(esk1_0,X1,esk1_0)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[20,99,theory(equality)]) ).
cnf(109,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[101,42,theory(equality)]) ).
cnf(110,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[16,109,theory(equality)]) ).
cnf(114,negated_conjecture,
( big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0)
| big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[110,19,theory(equality)]) ).
cnf(118,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[12,114,theory(equality)]) ).
cnf(126,negated_conjecture,
( big_f(esk1_0,X1,esk1_0)
| big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[37,118,theory(equality)]) ).
cnf(140,negated_conjecture,
big_f(esk1_0,X1,esk1_0),
inference(csr,[status(thm)],[126,101]) ).
cnf(142,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[17,140,theory(equality)]) ).
cnf(154,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[142,140,theory(equality)]) ).
cnf(155,negated_conjecture,
big_f(esk1_0,esk1_0,X1),
inference(cn,[status(thm)],[154,theory(equality)]) ).
cnf(167,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| $false
| ~ big_f(X2,X3,X1) ),
inference(rw,[status(thm)],[24,155,theory(equality)]) ).
cnf(168,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1) ),
inference(cn,[status(thm)],[167,theory(equality)]) ).
cnf(179,negated_conjecture,
( big_f(X1,esk2_3(X1,X2,X3),X2)
| big_f(esk2_3(X1,X2,X3),X2,X1)
| big_f(X3,X1,X2) ),
inference(spm,[status(thm)],[168,23,theory(equality)]) ).
cnf(184,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X2,esk2_3(X2,X1,X3),X1)
| ~ big_f(X3,X2,X1)
| ~ big_f(X1,X3,X2) ),
inference(spm,[status(thm)],[168,15,theory(equality)]) ).
cnf(197,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| big_f(X1,esk2_3(X1,X2,X3),X2) ),
inference(spm,[status(thm)],[13,179,theory(equality)]) ).
cnf(318,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X2,esk2_3(X2,X1,X3),X1)
| ~ big_f(X3,X2,X1) ),
inference(csr,[status(thm)],[184,19]) ).
cnf(319,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X2,esk2_3(X2,X1,X3),X1) ),
inference(csr,[status(thm)],[318,23]) ).
cnf(320,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X1,esk2_3(X1,X2,X3),X2)
| ~ big_f(X3,X1,X2) ),
inference(spm,[status(thm)],[21,319,theory(equality)]) ).
cnf(333,negated_conjecture,
( big_f(X1,esk2_3(X1,X2,X3),X2)
| big_f(X1,X2,X3) ),
inference(csr,[status(thm)],[320,197]) ).
cnf(335,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) ),
inference(spm,[status(thm)],[17,333,theory(equality)]) ).
cnf(352,negated_conjecture,
big_f(X1,X2,esk2_3(X2,X1,X3)),
inference(spm,[status(thm)],[335,319,theory(equality)]) ).
cnf(360,negated_conjecture,
big_f(esk2_3(X1,X2,X3),X2,X1),
inference(spm,[status(thm)],[335,352,theory(equality)]) ).
cnf(377,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X2,X3,X1)
| $false ),
inference(rw,[status(thm)],[12,360,theory(equality)]) ).
cnf(378,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X2,X3,X1) ),
inference(cn,[status(thm)],[377,theory(equality)]) ).
cnf(384,negated_conjecture,
big_f(X1,X2,X3),
inference(csr,[status(thm)],[378,335]) ).
cnf(394,negated_conjecture,
( $false
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) ),
inference(rw,[status(thm)],[11,384,theory(equality)]) ).
cnf(395,negated_conjecture,
( $false
| $false
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) ),
inference(rw,[status(thm)],[394,384,theory(equality)]) ).
cnf(396,negated_conjecture,
( $false
| $false
| $false
| ~ big_f(X1,X2,X3) ),
inference(rw,[status(thm)],[395,384,theory(equality)]) ).
cnf(397,negated_conjecture,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[396,384,theory(equality)]) ).
cnf(398,negated_conjecture,
$false,
inference(cn,[status(thm)],[397,theory(equality)]) ).
cnf(399,negated_conjecture,
$false,
398,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN353+1.p
% --creating new selector for []
% -running prover on /tmp/tmpIkOhxT/sel_SYN353+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN353+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN353+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN353+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
%
%------------------------------------------------------------------------------