TSTP Solution File: MSC017+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MSC017+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 21:10:21 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 140 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 167 ( 72 ~; 60 |; 21 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( dive(X1)
=> ( ~ greater(depth(X1),depth_limit)
& ~ greater(time(X1),time_limit) ) ),
file('/tmp/tmpbXofPa/sel_MSC017+1.p_1',no_deep_long) ).
fof(3,axiom,
! [X1] :
( dive(X1)
=> ( ( greater(depth(X1),depth_limit)
| greater(time(X1),time_limit) )
<=> greater(nitrogen(X1),nitrogen_limit) ) ),
file('/tmp/tmpbXofPa/sel_MSC017+1.p_1',depth_and_time_and_nitrogen) ).
fof(4,conjecture,
! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
file('/tmp/tmpbXofPa/sel_MSC017+1.p_1',no_bad) ).
fof(5,axiom,
! [X1] :
( dive(X1)
=> ! [X2] :
( ( outcome(X1,X2)
& bad(X2) )
=> X2 = dci ) ),
file('/tmp/tmpbXofPa/sel_MSC017+1.p_1',dci_is_the_only_bad_outcome) ).
fof(7,axiom,
! [X1] :
( dive(X1)
=> ( greater(nitrogen(X1),nitrogen_limit)
<=> outcome(X1,dci) ) ),
file('/tmp/tmpbXofPa/sel_MSC017+1.p_1',too_much_nitrogen) ).
fof(8,negated_conjecture,
~ ! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(9,plain,
! [X1] :
( dive(X1)
=> ( ~ greater(depth(X1),depth_limit)
& ~ greater(time(X1),time_limit) ) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(10,negated_conjecture,
~ ! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(11,plain,
! [X1] :
( ~ dive(X1)
| ( ~ greater(depth(X1),depth_limit)
& ~ greater(time(X1),time_limit) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(12,plain,
! [X2] :
( ~ dive(X2)
| ( ~ greater(depth(X2),depth_limit)
& ~ greater(time(X2),time_limit) ) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(13,plain,
! [X2] :
( ( ~ greater(depth(X2),depth_limit)
| ~ dive(X2) )
& ( ~ greater(time(X2),time_limit)
| ~ dive(X2) ) ),
inference(distribute,[status(thm)],[12]) ).
cnf(14,plain,
( ~ dive(X1)
| ~ greater(time(X1),time_limit) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(15,plain,
( ~ dive(X1)
| ~ greater(depth(X1),depth_limit) ),
inference(split_conjunct,[status(thm)],[13]) ).
fof(17,plain,
! [X1] :
( ~ dive(X1)
| ( ( ( ~ greater(depth(X1),depth_limit)
& ~ greater(time(X1),time_limit) )
| greater(nitrogen(X1),nitrogen_limit) )
& ( ~ greater(nitrogen(X1),nitrogen_limit)
| greater(depth(X1),depth_limit)
| greater(time(X1),time_limit) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(18,plain,
! [X2] :
( ~ dive(X2)
| ( ( ( ~ greater(depth(X2),depth_limit)
& ~ greater(time(X2),time_limit) )
| greater(nitrogen(X2),nitrogen_limit) )
& ( ~ greater(nitrogen(X2),nitrogen_limit)
| greater(depth(X2),depth_limit)
| greater(time(X2),time_limit) ) ) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,plain,
! [X2] :
( ( ~ greater(depth(X2),depth_limit)
| greater(nitrogen(X2),nitrogen_limit)
| ~ dive(X2) )
& ( ~ greater(time(X2),time_limit)
| greater(nitrogen(X2),nitrogen_limit)
| ~ dive(X2) )
& ( ~ greater(nitrogen(X2),nitrogen_limit)
| greater(depth(X2),depth_limit)
| greater(time(X2),time_limit)
| ~ dive(X2) ) ),
inference(distribute,[status(thm)],[18]) ).
cnf(20,plain,
( greater(time(X1),time_limit)
| greater(depth(X1),depth_limit)
| ~ dive(X1)
| ~ greater(nitrogen(X1),nitrogen_limit) ),
inference(split_conjunct,[status(thm)],[19]) ).
fof(23,negated_conjecture,
? [X1] :
( dive(X1)
& ? [X2] :
( outcome(X1,X2)
& bad(X2) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(24,negated_conjecture,
? [X3] :
( dive(X3)
& ? [X4] :
( outcome(X3,X4)
& bad(X4) ) ),
inference(variable_rename,[status(thm)],[23]) ).
fof(25,negated_conjecture,
( dive(esk1_0)
& outcome(esk1_0,esk2_0)
& bad(esk2_0) ),
inference(skolemize,[status(esa)],[24]) ).
cnf(26,negated_conjecture,
bad(esk2_0),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(27,negated_conjecture,
outcome(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,negated_conjecture,
dive(esk1_0),
inference(split_conjunct,[status(thm)],[25]) ).
fof(29,plain,
! [X1] :
( ~ dive(X1)
| ! [X2] :
( ~ outcome(X1,X2)
| ~ bad(X2)
| X2 = dci ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(30,plain,
! [X3] :
( ~ dive(X3)
| ! [X4] :
( ~ outcome(X3,X4)
| ~ bad(X4)
| X4 = dci ) ),
inference(variable_rename,[status(thm)],[29]) ).
fof(31,plain,
! [X3,X4] :
( ~ outcome(X3,X4)
| ~ bad(X4)
| X4 = dci
| ~ dive(X3) ),
inference(shift_quantors,[status(thm)],[30]) ).
cnf(32,plain,
( X2 = dci
| ~ dive(X1)
| ~ bad(X2)
| ~ outcome(X1,X2) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(36,plain,
! [X1] :
( ~ dive(X1)
| ( ( ~ greater(nitrogen(X1),nitrogen_limit)
| outcome(X1,dci) )
& ( ~ outcome(X1,dci)
| greater(nitrogen(X1),nitrogen_limit) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(37,plain,
! [X2] :
( ~ dive(X2)
| ( ( ~ greater(nitrogen(X2),nitrogen_limit)
| outcome(X2,dci) )
& ( ~ outcome(X2,dci)
| greater(nitrogen(X2),nitrogen_limit) ) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X2] :
( ( ~ greater(nitrogen(X2),nitrogen_limit)
| outcome(X2,dci)
| ~ dive(X2) )
& ( ~ outcome(X2,dci)
| greater(nitrogen(X2),nitrogen_limit)
| ~ dive(X2) ) ),
inference(distribute,[status(thm)],[37]) ).
cnf(39,plain,
( greater(nitrogen(X1),nitrogen_limit)
| ~ dive(X1)
| ~ outcome(X1,dci) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(41,negated_conjecture,
( dci = esk2_0
| ~ bad(esk2_0)
| ~ dive(esk1_0) ),
inference(spm,[status(thm)],[32,27,theory(equality)]) ).
cnf(42,negated_conjecture,
( dci = esk2_0
| $false
| ~ dive(esk1_0) ),
inference(rw,[status(thm)],[41,26,theory(equality)]) ).
cnf(43,negated_conjecture,
( dci = esk2_0
| $false
| $false ),
inference(rw,[status(thm)],[42,28,theory(equality)]) ).
cnf(44,negated_conjecture,
dci = esk2_0,
inference(cn,[status(thm)],[43,theory(equality)]) ).
cnf(48,plain,
( greater(depth(X1),depth_limit)
| ~ greater(nitrogen(X1),nitrogen_limit)
| ~ dive(X1) ),
inference(csr,[status(thm)],[20,14]) ).
cnf(49,plain,
( ~ greater(nitrogen(X1),nitrogen_limit)
| ~ dive(X1) ),
inference(csr,[status(thm)],[48,15]) ).
cnf(50,negated_conjecture,
outcome(esk1_0,dci),
inference(rw,[status(thm)],[27,44,theory(equality)]) ).
cnf(53,negated_conjecture,
( greater(nitrogen(esk1_0),nitrogen_limit)
| ~ dive(esk1_0) ),
inference(spm,[status(thm)],[39,50,theory(equality)]) ).
cnf(54,negated_conjecture,
( greater(nitrogen(esk1_0),nitrogen_limit)
| $false ),
inference(rw,[status(thm)],[53,28,theory(equality)]) ).
cnf(55,negated_conjecture,
greater(nitrogen(esk1_0),nitrogen_limit),
inference(cn,[status(thm)],[54,theory(equality)]) ).
cnf(56,negated_conjecture,
~ dive(esk1_0),
inference(spm,[status(thm)],[49,55,theory(equality)]) ).
cnf(57,negated_conjecture,
$false,
inference(rw,[status(thm)],[56,28,theory(equality)]) ).
cnf(58,negated_conjecture,
$false,
inference(cn,[status(thm)],[57,theory(equality)]) ).
cnf(59,negated_conjecture,
$false,
58,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MSC/MSC017+1.p
% --creating new selector for []
% -running prover on /tmp/tmpbXofPa/sel_MSC017+1.p_1 with time limit 29
% -prover status Theorem
% Problem MSC017+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MSC/MSC017+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MSC/MSC017+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
%
%------------------------------------------------------------------------------