TSTP Solution File: PUZ005+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PUZ005+1 : TPTP v5.0.0. Released v2.2.0.
% 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 00:52:26 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 5 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 214 ( 97 ~; 88 |; 8 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 73 ( 1 sgn 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(9,axiom,
! [X1] :
( wednesday(X1)
=> lion_lies(X1) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',lion_lies_wednesday) ).
fof(14,axiom,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( ~ lion_lies(X1)
& ~ lies_on_one_of(a_lion,X1,X2) )
=> ~ lion_lies(X2) ) ) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',lion_lies_on_neither) ).
fof(15,axiom,
! [X1] :
( thursday(X1)
=> unicorn_lies(X1) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',unicorn_lies_thursday) ).
fof(18,axiom,
thursday(a_thursday),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',thursday) ).
fof(19,axiom,
! [X1] :
( unicorn_lies(X1)
=> day(X1) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',unicorn_lies_on_a_day) ).
fof(27,axiom,
! [X1] :
( wednesday(X1)
=> ~ unicorn_lies(X1) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',unicorn_does_not_lie_wednesday) ).
fof(29,axiom,
! [X1] :
( lion_lies(X1)
=> day(X1) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',lion_lies_on_a_day) ).
fof(33,axiom,
! [X1] :
( thursday(X1)
=> wednesday(yesterday(X1)) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',thursday_follows_wednesday) ).
fof(36,axiom,
! [X1] :
( thursday(X1)
=> ~ lion_lies(X1) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',lion_does_not_lie_thursday) ).
fof(38,axiom,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( unicorn_lies(X1)
& ~ lies_on_one_of(a_unicorn,X1,X2) )
=> unicorn_lies(X2) ) ) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',unicorn_lies_on_both) ).
fof(40,conjecture,
? [X1] :
( day(X1)
& lies_on_one_of(a_lion,X1,yesterday(X1))
& lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
file('/tmp/tmpqSAel_/sel_PUZ005+1.p_1',prove_there_are_close_lying_days) ).
fof(47,negated_conjecture,
~ ? [X1] :
( day(X1)
& lies_on_one_of(a_lion,X1,yesterday(X1))
& lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
inference(assume_negation,[status(cth)],[40]) ).
fof(52,plain,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( ~ lion_lies(X1)
& ~ lies_on_one_of(a_lion,X1,X2) )
=> ~ lion_lies(X2) ) ) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(55,plain,
! [X1] :
( wednesday(X1)
=> ~ unicorn_lies(X1) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(60,plain,
! [X1] :
( thursday(X1)
=> ~ lion_lies(X1) ),
inference(fof_simplification,[status(thm)],[36,theory(equality)]) ).
fof(61,plain,
! [X1] :
( day(X1)
=> ! [X2] :
( day(X2)
=> ( ( unicorn_lies(X1)
& ~ lies_on_one_of(a_unicorn,X1,X2) )
=> unicorn_lies(X2) ) ) ),
inference(fof_simplification,[status(thm)],[38,theory(equality)]) ).
fof(87,plain,
! [X1] :
( ~ wednesday(X1)
| lion_lies(X1) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(88,plain,
! [X2] :
( ~ wednesday(X2)
| lion_lies(X2) ),
inference(variable_rename,[status(thm)],[87]) ).
cnf(89,plain,
( lion_lies(X1)
| ~ wednesday(X1) ),
inference(split_conjunct,[status(thm)],[88]) ).
fof(100,plain,
! [X1] :
( ~ day(X1)
| ! [X2] :
( ~ day(X2)
| lion_lies(X1)
| lies_on_one_of(a_lion,X1,X2)
| ~ lion_lies(X2) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(101,plain,
! [X3] :
( ~ day(X3)
| ! [X4] :
( ~ day(X4)
| lion_lies(X3)
| lies_on_one_of(a_lion,X3,X4)
| ~ lion_lies(X4) ) ),
inference(variable_rename,[status(thm)],[100]) ).
fof(102,plain,
! [X3,X4] :
( ~ day(X4)
| lion_lies(X3)
| lies_on_one_of(a_lion,X3,X4)
| ~ lion_lies(X4)
| ~ day(X3) ),
inference(shift_quantors,[status(thm)],[101]) ).
cnf(103,plain,
( lies_on_one_of(a_lion,X1,X2)
| lion_lies(X1)
| ~ day(X1)
| ~ lion_lies(X2)
| ~ day(X2) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(104,plain,
! [X1] :
( ~ thursday(X1)
| unicorn_lies(X1) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(105,plain,
! [X2] :
( ~ thursday(X2)
| unicorn_lies(X2) ),
inference(variable_rename,[status(thm)],[104]) ).
cnf(106,plain,
( unicorn_lies(X1)
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(114,plain,
thursday(a_thursday),
inference(split_conjunct,[status(thm)],[18]) ).
fof(115,plain,
! [X1] :
( ~ unicorn_lies(X1)
| day(X1) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(116,plain,
! [X2] :
( ~ unicorn_lies(X2)
| day(X2) ),
inference(variable_rename,[status(thm)],[115]) ).
cnf(117,plain,
( day(X1)
| ~ unicorn_lies(X1) ),
inference(split_conjunct,[status(thm)],[116]) ).
fof(138,plain,
! [X1] :
( ~ wednesday(X1)
| ~ unicorn_lies(X1) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(139,plain,
! [X2] :
( ~ wednesday(X2)
| ~ unicorn_lies(X2) ),
inference(variable_rename,[status(thm)],[138]) ).
cnf(140,plain,
( ~ unicorn_lies(X1)
| ~ wednesday(X1) ),
inference(split_conjunct,[status(thm)],[139]) ).
fof(145,plain,
! [X1] :
( ~ lion_lies(X1)
| day(X1) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(146,plain,
! [X2] :
( ~ lion_lies(X2)
| day(X2) ),
inference(variable_rename,[status(thm)],[145]) ).
cnf(147,plain,
( day(X1)
| ~ lion_lies(X1) ),
inference(split_conjunct,[status(thm)],[146]) ).
fof(156,plain,
! [X1] :
( ~ thursday(X1)
| wednesday(yesterday(X1)) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(157,plain,
! [X2] :
( ~ thursday(X2)
| wednesday(yesterday(X2)) ),
inference(variable_rename,[status(thm)],[156]) ).
cnf(158,plain,
( wednesday(yesterday(X1))
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[157]) ).
fof(163,plain,
! [X1] :
( ~ thursday(X1)
| ~ lion_lies(X1) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(164,plain,
! [X2] :
( ~ thursday(X2)
| ~ lion_lies(X2) ),
inference(variable_rename,[status(thm)],[163]) ).
cnf(165,plain,
( ~ lion_lies(X1)
| ~ thursday(X1) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(169,plain,
! [X1] :
( ~ day(X1)
| ! [X2] :
( ~ day(X2)
| ~ unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X1,X2)
| unicorn_lies(X2) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(170,plain,
! [X3] :
( ~ day(X3)
| ! [X4] :
( ~ day(X4)
| ~ unicorn_lies(X3)
| lies_on_one_of(a_unicorn,X3,X4)
| unicorn_lies(X4) ) ),
inference(variable_rename,[status(thm)],[169]) ).
fof(171,plain,
! [X3,X4] :
( ~ day(X4)
| ~ unicorn_lies(X3)
| lies_on_one_of(a_unicorn,X3,X4)
| unicorn_lies(X4)
| ~ day(X3) ),
inference(shift_quantors,[status(thm)],[170]) ).
cnf(172,plain,
( unicorn_lies(X2)
| lies_on_one_of(a_unicorn,X1,X2)
| ~ day(X1)
| ~ unicorn_lies(X1)
| ~ day(X2) ),
inference(split_conjunct,[status(thm)],[171]) ).
fof(176,negated_conjecture,
! [X1] :
( ~ day(X1)
| ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ lies_on_one_of(a_unicorn,X1,yesterday(X1)) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(177,negated_conjecture,
! [X2] :
( ~ day(X2)
| ~ lies_on_one_of(a_lion,X2,yesterday(X2))
| ~ lies_on_one_of(a_unicorn,X2,yesterday(X2)) ),
inference(variable_rename,[status(thm)],[176]) ).
cnf(178,negated_conjecture,
( ~ lies_on_one_of(a_unicorn,X1,yesterday(X1))
| ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ day(X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(230,plain,
( lion_lies(yesterday(X1))
| ~ thursday(X1) ),
inference(spm,[status(thm)],[89,158,theory(equality)]) ).
cnf(231,plain,
( ~ unicorn_lies(yesterday(X1))
| ~ thursday(X1) ),
inference(spm,[status(thm)],[140,158,theory(equality)]) ).
cnf(238,plain,
( lies_on_one_of(a_unicorn,X1,X2)
| unicorn_lies(X2)
| ~ day(X2)
| ~ unicorn_lies(X1) ),
inference(csr,[status(thm)],[172,117]) ).
cnf(242,plain,
( lies_on_one_of(a_lion,X1,X2)
| lion_lies(X1)
| ~ day(X1)
| ~ lion_lies(X2) ),
inference(csr,[status(thm)],[103,147]) ).
cnf(243,negated_conjecture,
( lion_lies(X1)
| ~ lies_on_one_of(a_unicorn,X1,yesterday(X1))
| ~ day(X1)
| ~ lion_lies(yesterday(X1)) ),
inference(spm,[status(thm)],[178,242,theory(equality)]) ).
cnf(343,negated_conjecture,
( lion_lies(X1)
| unicorn_lies(yesterday(X1))
| ~ day(X1)
| ~ lion_lies(yesterday(X1))
| ~ day(yesterday(X1))
| ~ unicorn_lies(X1) ),
inference(spm,[status(thm)],[243,238,theory(equality)]) ).
cnf(414,negated_conjecture,
( lion_lies(X1)
| unicorn_lies(yesterday(X1))
| ~ day(X1)
| ~ lion_lies(yesterday(X1))
| ~ unicorn_lies(X1) ),
inference(csr,[status(thm)],[343,147]) ).
cnf(415,negated_conjecture,
( lion_lies(X1)
| unicorn_lies(yesterday(X1))
| ~ lion_lies(yesterday(X1))
| ~ unicorn_lies(X1) ),
inference(csr,[status(thm)],[414,117]) ).
cnf(418,negated_conjecture,
( lion_lies(X1)
| unicorn_lies(yesterday(X1))
| ~ unicorn_lies(X1)
| ~ thursday(X1) ),
inference(spm,[status(thm)],[415,230,theory(equality)]) ).
cnf(430,negated_conjecture,
( lion_lies(X1)
| unicorn_lies(yesterday(X1))
| ~ thursday(X1) ),
inference(csr,[status(thm)],[418,106]) ).
cnf(431,negated_conjecture,
( lion_lies(X1)
| ~ thursday(X1) ),
inference(csr,[status(thm)],[430,231]) ).
cnf(432,negated_conjecture,
~ thursday(X1),
inference(csr,[status(thm)],[431,165]) ).
cnf(434,plain,
$false,
inference(sr,[status(thm)],[114,432,theory(equality)]) ).
cnf(435,plain,
$false,
434,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ005+1.p
% --creating new selector for []
% -running prover on /tmp/tmpqSAel_/sel_PUZ005+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ005+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ005+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ005+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
%
%------------------------------------------------------------------------------