TSTP Solution File: MGT053+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT053+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 : Sat Dec 25 21:08:17 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of formulae : 46 ( 8 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 158 ( 53 ~; 85 |; 16 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 ( 2 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1,X2,X3] :
( dissimilar(X1,X2,X3)
<=> dissimilar(X1,X3,X2) ),
file('/tmp/tmpU_nVPM/sel_MGT053+1.p_1',lemma_7) ).
fof(2,axiom,
! [X1,X4,X5] :
( dissimilar(X1,X4,X5)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X4)
<=> is_aligned(X1,X5) ) ) ),
file('/tmp/tmpU_nVPM/sel_MGT053+1.p_1',definition_2) ).
fof(3,negated_conjecture,
~ ! [X1,X2,X3] :
( dissimilar(X1,X2,X3)
<=> dissimilar(X1,X3,X2) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(4,negated_conjecture,
? [X1,X2,X3] :
( ( ~ dissimilar(X1,X2,X3)
| ~ dissimilar(X1,X3,X2) )
& ( dissimilar(X1,X2,X3)
| dissimilar(X1,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(5,negated_conjecture,
? [X4,X5,X6] :
( ( ~ dissimilar(X4,X5,X6)
| ~ dissimilar(X4,X6,X5) )
& ( dissimilar(X4,X5,X6)
| dissimilar(X4,X6,X5) ) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(6,negated_conjecture,
( ( ~ dissimilar(esk1_0,esk2_0,esk3_0)
| ~ dissimilar(esk1_0,esk3_0,esk2_0) )
& ( dissimilar(esk1_0,esk2_0,esk3_0)
| dissimilar(esk1_0,esk3_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[5]) ).
cnf(7,negated_conjecture,
( dissimilar(esk1_0,esk3_0,esk2_0)
| dissimilar(esk1_0,esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(8,negated_conjecture,
( ~ dissimilar(esk1_0,esk3_0,esk2_0)
| ~ dissimilar(esk1_0,esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[6]) ).
fof(9,plain,
! [X1,X4,X5] :
( ( ~ dissimilar(X1,X4,X5)
| ( organization(X1)
& ( ~ is_aligned(X1,X4)
| ~ is_aligned(X1,X5) )
& ( is_aligned(X1,X4)
| is_aligned(X1,X5) ) ) )
& ( ~ organization(X1)
| ( ( ~ is_aligned(X1,X4)
| is_aligned(X1,X5) )
& ( ~ is_aligned(X1,X5)
| is_aligned(X1,X4) ) )
| dissimilar(X1,X4,X5) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(10,plain,
! [X6,X7,X8] :
( ( ~ dissimilar(X6,X7,X8)
| ( organization(X6)
& ( ~ is_aligned(X6,X7)
| ~ is_aligned(X6,X8) )
& ( is_aligned(X6,X7)
| is_aligned(X6,X8) ) ) )
& ( ~ organization(X6)
| ( ( ~ is_aligned(X6,X7)
| is_aligned(X6,X8) )
& ( ~ is_aligned(X6,X8)
| is_aligned(X6,X7) ) )
| dissimilar(X6,X7,X8) ) ),
inference(variable_rename,[status(thm)],[9]) ).
fof(11,plain,
! [X6,X7,X8] :
( ( organization(X6)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| ~ is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ organization(X6)
| dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X8)
| is_aligned(X6,X7)
| ~ organization(X6)
| dissimilar(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[10]) ).
cnf(12,plain,
( dissimilar(X1,X2,X3)
| is_aligned(X1,X2)
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(13,plain,
( dissimilar(X1,X2,X3)
| is_aligned(X1,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(14,plain,
( is_aligned(X1,X3)
| is_aligned(X1,X2)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(15,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(16,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(17,negated_conjecture,
( organization(esk1_0)
| dissimilar(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[16,7,theory(equality)]) ).
cnf(19,negated_conjecture,
( is_aligned(esk1_0,esk3_0)
| is_aligned(esk1_0,esk2_0)
| dissimilar(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[14,7,theory(equality)]) ).
cnf(20,negated_conjecture,
( dissimilar(esk1_0,esk2_0,esk3_0)
| ~ is_aligned(esk1_0,esk2_0)
| ~ is_aligned(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[15,7,theory(equality)]) ).
cnf(21,negated_conjecture,
organization(esk1_0),
inference(csr,[status(thm)],[17,16]) ).
cnf(22,negated_conjecture,
( is_aligned(esk1_0,esk3_0)
| is_aligned(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[19,14]) ).
cnf(23,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk3_0,X1)
| is_aligned(esk1_0,esk2_0)
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[13,22,theory(equality)]) ).
cnf(24,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk3_0)
| is_aligned(esk1_0,esk2_0)
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[12,22,theory(equality)]) ).
cnf(25,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk3_0,X1)
| is_aligned(esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[23,21,theory(equality)]) ).
cnf(26,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk3_0,X1)
| is_aligned(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[25,theory(equality)]) ).
cnf(27,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk3_0)
| is_aligned(esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[24,21,theory(equality)]) ).
cnf(28,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk3_0)
| is_aligned(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[27,theory(equality)]) ).
cnf(29,negated_conjecture,
( ~ is_aligned(esk1_0,esk2_0)
| ~ is_aligned(esk1_0,esk3_0) ),
inference(csr,[status(thm)],[20,15]) ).
cnf(31,negated_conjecture,
( is_aligned(esk1_0,esk2_0)
| dissimilar(esk1_0,esk3_0,esk2_0) ),
inference(ef,[status(thm)],[26,theory(equality)]) ).
cnf(47,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk2_0)
| dissimilar(esk1_0,esk3_0,esk2_0)
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[12,31,theory(equality)]) ).
cnf(50,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk2_0)
| dissimilar(esk1_0,esk3_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[47,21,theory(equality)]) ).
cnf(51,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,X1,esk2_0)
| dissimilar(esk1_0,esk3_0,esk2_0) ),
inference(cn,[status(thm)],[50,theory(equality)]) ).
cnf(61,negated_conjecture,
( dissimilar(esk1_0,esk3_0,esk2_0)
| ~ is_aligned(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[29,51,theory(equality)]) ).
cnf(66,negated_conjecture,
dissimilar(esk1_0,esk3_0,esk2_0),
inference(csr,[status(thm)],[61,31]) ).
cnf(73,negated_conjecture,
( ~ dissimilar(esk1_0,esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[8,66,theory(equality)]) ).
cnf(74,negated_conjecture,
~ dissimilar(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[73,theory(equality)]) ).
cnf(77,negated_conjecture,
( is_aligned(esk1_0,esk2_0)
| dissimilar(esk1_0,esk2_0,esk3_0) ),
inference(ef,[status(thm)],[28,theory(equality)]) ).
cnf(84,negated_conjecture,
is_aligned(esk1_0,esk2_0),
inference(sr,[status(thm)],[77,74,theory(equality)]) ).
cnf(94,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk2_0,X1)
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[13,84,theory(equality)]) ).
cnf(98,negated_conjecture,
( $false
| ~ is_aligned(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[29,84,theory(equality)]) ).
cnf(99,negated_conjecture,
~ is_aligned(esk1_0,esk3_0),
inference(cn,[status(thm)],[98,theory(equality)]) ).
cnf(101,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[94,21,theory(equality)]) ).
cnf(102,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[101,theory(equality)]) ).
cnf(105,negated_conjecture,
dissimilar(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[99,102,theory(equality)]) ).
cnf(108,negated_conjecture,
$false,
inference(sr,[status(thm)],[105,74,theory(equality)]) ).
cnf(109,negated_conjecture,
$false,
108,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT053+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmpU_nVPM/sel_MGT053+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT053+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT053+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT053+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
%
%------------------------------------------------------------------------------