TSTP Solution File: MGT044+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT044+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 21:07:29 EST 2010
% Result : Theorem 0.57s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 149 ( 28 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 168 ( 64 ~; 59 |; 31 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 7 sgn 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/tmp/tmpSXIoM7/sel_MGT044+1.p_1',definition_smaller_or_equal) ).
fof(6,axiom,
! [X1,X4,X5] :
( organization(X1)
=> internal_friction(X1,X5) = internal_friction(X1,X4) ),
file('/tmp/tmpSXIoM7/sel_MGT044+1.p_1',assumption_9) ).
fof(7,conjecture,
! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
file('/tmp/tmpSXIoM7/sel_MGT044+1.p_1',lemma_3) ).
fof(8,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
file('/tmp/tmpSXIoM7/sel_MGT044+1.p_1',assumption_5) ).
fof(9,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4)) ),
file('/tmp/tmpSXIoM7/sel_MGT044+1.p_1',assumption_7) ).
fof(10,negated_conjecture,
~ ! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(11,plain,
! [X5,X4,X1] :
( epred1_3(X1,X4,X5)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
introduced(definition) ).
fof(12,plain,
! [X1,X4,X5] :
( organization(X1)
=> epred1_3(X1,X4,X5) ),
inference(apply_def,[status(esa)],[8,11,theory(equality)]) ).
fof(13,plain,
! [X1,X2] :
( ( ~ smaller_or_equal(X1,X2)
| smaller(X1,X2)
| X1 = X2 )
& ( ( ~ smaller(X1,X2)
& X1 != X2 )
| smaller_or_equal(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(14,plain,
! [X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ( ~ smaller(X3,X4)
& X3 != X4 )
| smaller_or_equal(X3,X4) ) ),
inference(variable_rename,[status(thm)],[13]) ).
fof(15,plain,
! [X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ~ smaller(X3,X4)
| smaller_or_equal(X3,X4) )
& ( X3 != X4
| smaller_or_equal(X3,X4) ) ),
inference(distribute,[status(thm)],[14]) ).
cnf(16,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[15]) ).
fof(31,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| internal_friction(X1,X5) = internal_friction(X1,X4) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(32,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| internal_friction(X6,X8) = internal_friction(X6,X7) ),
inference(variable_rename,[status(thm)],[31]) ).
cnf(33,plain,
( internal_friction(X1,X2) = internal_friction(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,negated_conjecture,
? [X1,X4,X5] :
( organization(X1)
& greater(age(X1,X5),age(X1,X4))
& ~ greater(capability(X1,X5),capability(X1,X4)) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(35,negated_conjecture,
? [X6,X7,X8] :
( organization(X6)
& greater(age(X6,X8),age(X6,X7))
& ~ greater(capability(X6,X8),capability(X6,X7)) ),
inference(variable_rename,[status(thm)],[34]) ).
fof(36,negated_conjecture,
( organization(esk1_0)
& greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
& ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[35]) ).
cnf(37,negated_conjecture,
~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(38,negated_conjecture,
greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(39,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[36]) ).
fof(40,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| epred1_3(X1,X4,X5) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(41,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| epred1_3(X6,X7,X8) ),
inference(variable_rename,[status(thm)],[40]) ).
cnf(42,plain,
( epred1_3(X1,X2,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(43,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| ~ greater(age(X1,X5),age(X1,X4))
| greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4)) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(44,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ greater(age(X6,X8),age(X6,X7))
| greater(stock_of_knowledge(X6,X8),stock_of_knowledge(X6,X7)) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(45,plain,
( greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(age(X1,X2),age(X1,X3))
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,plain,
! [X5,X4,X1] :
( ~ epred1_3(X1,X4,X5)
| ( ( ~ greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
| ~ smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4))
| greater(capability(X1,X5),capability(X1,X4)) )
& ( ~ smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
| ~ greater(internal_friction(X1,X5),internal_friction(X1,X4))
| smaller(capability(X1,X5),capability(X1,X4)) )
& ( stock_of_knowledge(X1,X5) != stock_of_knowledge(X1,X4)
| internal_friction(X1,X5) != internal_friction(X1,X4)
| capability(X1,X5) = capability(X1,X4) ) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(47,plain,
! [X6,X7,X8] :
( ~ epred1_3(X8,X7,X6)
| ( ( ~ greater(stock_of_knowledge(X8,X6),stock_of_knowledge(X8,X7))
| ~ smaller_or_equal(internal_friction(X8,X6),internal_friction(X8,X7))
| greater(capability(X8,X6),capability(X8,X7)) )
& ( ~ smaller_or_equal(stock_of_knowledge(X8,X6),stock_of_knowledge(X8,X7))
| ~ greater(internal_friction(X8,X6),internal_friction(X8,X7))
| smaller(capability(X8,X6),capability(X8,X7)) )
& ( stock_of_knowledge(X8,X6) != stock_of_knowledge(X8,X7)
| internal_friction(X8,X6) != internal_friction(X8,X7)
| capability(X8,X6) = capability(X8,X7) ) ) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,plain,
! [X6,X7,X8] :
( ( ~ greater(stock_of_knowledge(X8,X6),stock_of_knowledge(X8,X7))
| ~ smaller_or_equal(internal_friction(X8,X6),internal_friction(X8,X7))
| greater(capability(X8,X6),capability(X8,X7))
| ~ epred1_3(X8,X7,X6) )
& ( ~ smaller_or_equal(stock_of_knowledge(X8,X6),stock_of_knowledge(X8,X7))
| ~ greater(internal_friction(X8,X6),internal_friction(X8,X7))
| smaller(capability(X8,X6),capability(X8,X7))
| ~ epred1_3(X8,X7,X6) )
& ( stock_of_knowledge(X8,X6) != stock_of_knowledge(X8,X7)
| internal_friction(X8,X6) != internal_friction(X8,X7)
| capability(X8,X6) = capability(X8,X7)
| ~ epred1_3(X8,X7,X6) ) ),
inference(distribute,[status(thm)],[47]) ).
cnf(51,plain,
( greater(capability(X1,X3),capability(X1,X2))
| ~ epred1_3(X1,X2,X3)
| ~ smaller_or_equal(internal_friction(X1,X3),internal_friction(X1,X2))
| ~ greater(stock_of_knowledge(X1,X3),stock_of_knowledge(X1,X2)) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(52,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[16,theory(equality)]) ).
cnf(57,negated_conjecture,
internal_friction(esk1_0,X1) = internal_friction(esk1_0,X2),
inference(spm,[status(thm)],[33,39,theory(equality)]) ).
cnf(59,negated_conjecture,
( greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[45,38,theory(equality)]) ).
cnf(60,negated_conjecture,
( greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[59,39,theory(equality)]) ).
cnf(61,negated_conjecture,
greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)),
inference(cn,[status(thm)],[60,theory(equality)]) ).
cnf(83,negated_conjecture,
( greater(capability(esk1_0,X1),capability(esk1_0,X2))
| ~ epred1_3(esk1_0,X2,X1)
| ~ greater(stock_of_knowledge(esk1_0,X1),stock_of_knowledge(esk1_0,X2))
| ~ smaller_or_equal(internal_friction(esk1_0,X3),internal_friction(esk1_0,X2)) ),
inference(spm,[status(thm)],[51,57,theory(equality)]) ).
cnf(747,negated_conjecture,
( greater(capability(esk1_0,X1),capability(esk1_0,X2))
| ~ epred1_3(esk1_0,X2,X1)
| ~ greater(stock_of_knowledge(esk1_0,X1),stock_of_knowledge(esk1_0,X2)) ),
inference(spm,[status(thm)],[83,52,theory(equality)]) ).
cnf(4506,negated_conjecture,
( ~ epred1_3(esk1_0,esk2_0,esk3_0)
| ~ greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[37,747,theory(equality)]) ).
cnf(4549,negated_conjecture,
( ~ epred1_3(esk1_0,esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[4506,61,theory(equality)]) ).
cnf(4550,negated_conjecture,
~ epred1_3(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[4549,theory(equality)]) ).
cnf(4552,negated_conjecture,
~ organization(esk1_0),
inference(spm,[status(thm)],[4550,42,theory(equality)]) ).
cnf(4553,negated_conjecture,
$false,
inference(rw,[status(thm)],[4552,39,theory(equality)]) ).
cnf(4554,negated_conjecture,
$false,
inference(cn,[status(thm)],[4553,theory(equality)]) ).
cnf(4555,negated_conjecture,
$false,
4554,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT044+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmpSXIoM7/sel_MGT044+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT044+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT044+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT044+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
%
%------------------------------------------------------------------------------