TSTP Solution File: PUZ061+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PUZ061+1 : TPTP v5.0.0. Released v3.1.0.
% 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 : Sun Dec 26 00:53:50 EST 2010
% Result : Theorem 0.16s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 204 ( 63 ~; 57 |; 65 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 158 ( 28 sgn 101 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) )
=> likes(X2,X1) ),
file('/tmp/tmp3TveYR/sel_PUZ061+1.p_1',prove_this) ).
fof(2,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) )
=> likes(X2,X1) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,plain,
! [X1,X2,X3,X6,X5,X4] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) ) ),
introduced(definition) ).
fof(4,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> likes(X2,X1) ),
inference(apply_def,[status(esa)],[2,3,theory(equality)]) ).
fof(5,negated_conjecture,
? [X1,X2,X3,X4,X5,X6] :
( epred1_6(X4,X5,X6,X3,X2,X1)
& ~ likes(X2,X1) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(6,negated_conjecture,
? [X7,X8,X9,X10,X11,X12] :
( epred1_6(X10,X11,X12,X9,X8,X7)
& ~ likes(X8,X7) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,negated_conjecture,
( epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_0)
& ~ likes(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[6]) ).
cnf(8,negated_conjecture,
~ likes(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(9,negated_conjecture,
epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[7]) ).
fof(10,plain,
! [X1,X2,X3,X6,X5,X4] :
( ~ epred1_6(X4,X5,X6,X3,X2,X1)
| ( ! [X7,X8] :
( ~ alive(X8)
| ~ eats(X8,X6)
| likes(X8,X7) )
& ! [X7] :
( ~ food(X7)
| likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) )
| food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( ~ eats(X3,X7)
| eats(X4,X7) )
& ! [X8] :
( ~ alive(X8)
| ! [X7] : not_killed_by(X8,X7) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(11,plain,
! [X9,X10,X11,X12,X13,X14] :
( ~ epred1_6(X14,X13,X12,X11,X10,X9)
| ( ! [X15,X16] :
( ~ alive(X16)
| ~ eats(X16,X12)
| likes(X16,X15) )
& ! [X17] :
( ~ food(X17)
| likes(X10,X17) )
& food(X13)
& food(X12)
& ! [X18] :
( ! [X19] :
( ~ eats(X19,X18)
| ~ not_killed_by(X19,X18) )
| food(X18) )
& eats(X11,X9)
& alive(X11)
& ! [X20] :
( ~ eats(X11,X20)
| eats(X14,X20) )
& ! [X21] :
( ~ alive(X21)
| ! [X22] : not_killed_by(X21,X22) ) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( ( ( not_killed_by(X21,X22)
| ~ alive(X21) )
& ( ~ eats(X11,X20)
| eats(X14,X20) )
& ( ~ eats(X19,X18)
| ~ not_killed_by(X19,X18)
| food(X18) )
& ( ~ food(X17)
| likes(X10,X17) )
& ( ~ alive(X16)
| ~ eats(X16,X12)
| likes(X16,X15) )
& food(X13)
& food(X12)
& eats(X11,X9)
& alive(X11) )
| ~ epred1_6(X14,X13,X12,X11,X10,X9) ),
inference(shift_quantors,[status(thm)],[11]) ).
fof(13,plain,
! [X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( ( not_killed_by(X21,X22)
| ~ alive(X21)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ eats(X11,X20)
| eats(X14,X20)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ eats(X19,X18)
| ~ not_killed_by(X19,X18)
| food(X18)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ food(X17)
| likes(X10,X17)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ alive(X16)
| ~ eats(X16,X12)
| likes(X16,X15)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( food(X13)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( food(X12)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( eats(X11,X9)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( alive(X11)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) ) ),
inference(distribute,[status(thm)],[12]) ).
cnf(14,plain,
( alive(X4)
| ~ epred1_6(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(15,plain,
( eats(X4,X6)
| ~ epred1_6(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(19,plain,
( likes(X5,X7)
| ~ epred1_6(X1,X2,X3,X4,X5,X6)
| ~ food(X7) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(20,plain,
( food(X7)
| ~ epred1_6(X1,X2,X3,X4,X5,X6)
| ~ not_killed_by(X8,X7)
| ~ eats(X8,X7) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(22,plain,
( not_killed_by(X7,X8)
| ~ epred1_6(X1,X2,X3,X4,X5,X6)
| ~ alive(X7) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(23,negated_conjecture,
alive(esk3_0),
inference(spm,[status(thm)],[14,9,theory(equality)]) ).
cnf(26,negated_conjecture,
eats(esk3_0,esk1_0),
inference(spm,[status(thm)],[15,9,theory(equality)]) ).
cnf(27,negated_conjecture,
( likes(esk2_0,X1)
| ~ food(X1) ),
inference(spm,[status(thm)],[19,9,theory(equality)]) ).
cnf(28,negated_conjecture,
( not_killed_by(X1,X2)
| ~ alive(X1) ),
inference(spm,[status(thm)],[22,9,theory(equality)]) ).
cnf(31,negated_conjecture,
( food(X1)
| ~ not_killed_by(X2,X1)
| ~ eats(X2,X1) ),
inference(spm,[status(thm)],[20,9,theory(equality)]) ).
cnf(32,negated_conjecture,
~ food(esk1_0),
inference(spm,[status(thm)],[8,27,theory(equality)]) ).
cnf(35,negated_conjecture,
( food(X1)
| ~ eats(X2,X1)
| ~ alive(X2) ),
inference(spm,[status(thm)],[31,28,theory(equality)]) ).
cnf(36,negated_conjecture,
( food(esk1_0)
| ~ alive(esk3_0) ),
inference(spm,[status(thm)],[35,26,theory(equality)]) ).
cnf(38,negated_conjecture,
( food(esk1_0)
| $false ),
inference(rw,[status(thm)],[36,23,theory(equality)]) ).
cnf(39,negated_conjecture,
food(esk1_0),
inference(cn,[status(thm)],[38,theory(equality)]) ).
cnf(40,negated_conjecture,
$false,
inference(sr,[status(thm)],[39,32,theory(equality)]) ).
cnf(41,negated_conjecture,
$false,
40,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ061+1.p
% --creating new selector for []
% -running prover on /tmp/tmp3TveYR/sel_PUZ061+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ061+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ061+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ061+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
%
%------------------------------------------------------------------------------