TSTP Solution File: PUZ047+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PUZ047+1 : TPTP v5.0.0. Released v2.5.0.
% 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 00:53:10 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 43 ( 12 unt; 0 def)
% Number of atoms : 296 ( 0 equ)
% Maximal formula atoms : 44 ( 6 avg)
% Number of connectives : 365 ( 112 ~; 106 |; 101 &)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 170 ( 8 sgn 129 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( ( p(south,south,south,south,start)
& ! [X1] :
( p(south,north,south,north,X1)
=> p(north,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,north,go_alone(X2)) )
& ! [X3] :
( p(south,south,north,south,X3)
=> p(north,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(north,south,north,south,X4)
=> p(south,south,north,south,go_alone(X4)) )
& ! [X5] :
( p(south,south,south,north,X5)
=> p(north,north,south,north,take_wolf(X5)) )
& ! [X6] :
( p(north,north,south,north,X6)
=> p(south,south,south,north,take_wolf(X6)) )
& ! [X7] :
( p(south,south,north,south,X7)
=> p(north,north,north,south,take_wolf(X7)) )
& ! [X8] :
( p(north,north,north,south,X8)
=> p(south,south,north,south,take_wolf(X8)) )
& ! [X9,X10,X11] :
( p(south,X9,south,X10,X11)
=> p(north,X9,north,X10,take_goat(X11)) )
& ! [X12,X13,X14] :
( p(north,X12,north,X13,X14)
=> p(south,X12,south,X13,take_goat(X14)) )
& ! [X15] :
( p(south,north,south,south,X15)
=> p(north,north,south,north,take_cabbage(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( p(south,south,north,south,X17)
=> p(north,south,north,north,take_cabbage(X17)) )
& ! [X18] :
( p(north,south,north,north,X18)
=> p(south,south,north,south,take_cabbage(X18)) ) )
=> ? [X19] : p(north,north,north,north,X19) ),
file('/tmp/tmpzPaLKd/sel_PUZ047+1.p_1',thm100) ).
fof(2,negated_conjecture,
~ ( ( p(south,south,south,south,start)
& ! [X1] :
( p(south,north,south,north,X1)
=> p(north,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,north,go_alone(X2)) )
& ! [X3] :
( p(south,south,north,south,X3)
=> p(north,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(north,south,north,south,X4)
=> p(south,south,north,south,go_alone(X4)) )
& ! [X5] :
( p(south,south,south,north,X5)
=> p(north,north,south,north,take_wolf(X5)) )
& ! [X6] :
( p(north,north,south,north,X6)
=> p(south,south,south,north,take_wolf(X6)) )
& ! [X7] :
( p(south,south,north,south,X7)
=> p(north,north,north,south,take_wolf(X7)) )
& ! [X8] :
( p(north,north,north,south,X8)
=> p(south,south,north,south,take_wolf(X8)) )
& ! [X9,X10,X11] :
( p(south,X9,south,X10,X11)
=> p(north,X9,north,X10,take_goat(X11)) )
& ! [X12,X13,X14] :
( p(north,X12,north,X13,X14)
=> p(south,X12,south,X13,take_goat(X14)) )
& ! [X15] :
( p(south,north,south,south,X15)
=> p(north,north,south,north,take_cabbage(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( p(south,south,north,south,X17)
=> p(north,south,north,north,take_cabbage(X17)) )
& ! [X18] :
( p(north,south,north,north,X18)
=> p(south,south,north,south,take_cabbage(X18)) ) )
=> ? [X19] : p(north,north,north,north,X19) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,plain,
( epred1_0
=> ( p(south,south,south,south,start)
& ! [X1] :
( p(south,north,south,north,X1)
=> p(north,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,north,go_alone(X2)) )
& ! [X3] :
( p(south,south,north,south,X3)
=> p(north,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(north,south,north,south,X4)
=> p(south,south,north,south,go_alone(X4)) )
& ! [X5] :
( p(south,south,south,north,X5)
=> p(north,north,south,north,take_wolf(X5)) )
& ! [X6] :
( p(north,north,south,north,X6)
=> p(south,south,south,north,take_wolf(X6)) )
& ! [X7] :
( p(south,south,north,south,X7)
=> p(north,north,north,south,take_wolf(X7)) )
& ! [X8] :
( p(north,north,north,south,X8)
=> p(south,south,north,south,take_wolf(X8)) )
& ! [X9,X10,X11] :
( p(south,X9,south,X10,X11)
=> p(north,X9,north,X10,take_goat(X11)) )
& ! [X12,X13,X14] :
( p(north,X12,north,X13,X14)
=> p(south,X12,south,X13,take_goat(X14)) )
& ! [X15] :
( p(south,north,south,south,X15)
=> p(north,north,south,north,take_cabbage(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( p(south,south,north,south,X17)
=> p(north,south,north,north,take_cabbage(X17)) )
& ! [X18] :
( p(north,south,north,north,X18)
=> p(south,south,north,south,take_cabbage(X18)) ) ) ),
introduced(definition) ).
fof(4,negated_conjecture,
~ ( epred1_0
=> ? [X19] : p(north,north,north,north,X19) ),
inference(apply_def,[status(esa)],[2,3,theory(equality)]) ).
fof(5,negated_conjecture,
( epred1_0
& ! [X19] : ~ p(north,north,north,north,X19) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(6,negated_conjecture,
( epred1_0
& ! [X20] : ~ p(north,north,north,north,X20) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,negated_conjecture,
! [X20] :
( ~ p(north,north,north,north,X20)
& epred1_0 ),
inference(shift_quantors,[status(thm)],[6]) ).
cnf(8,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[7]) ).
cnf(9,negated_conjecture,
~ p(north,north,north,north,X1),
inference(split_conjunct,[status(thm)],[7]) ).
fof(10,plain,
( ~ epred1_0
| ( p(south,south,south,south,start)
& ! [X1] :
( ~ p(south,north,south,north,X1)
| p(north,north,south,north,go_alone(X1)) )
& ! [X2] :
( ~ p(north,north,south,north,X2)
| p(south,north,south,north,go_alone(X2)) )
& ! [X3] :
( ~ p(south,south,north,south,X3)
| p(north,south,north,south,go_alone(X3)) )
& ! [X4] :
( ~ p(north,south,north,south,X4)
| p(south,south,north,south,go_alone(X4)) )
& ! [X5] :
( ~ p(south,south,south,north,X5)
| p(north,north,south,north,take_wolf(X5)) )
& ! [X6] :
( ~ p(north,north,south,north,X6)
| p(south,south,south,north,take_wolf(X6)) )
& ! [X7] :
( ~ p(south,south,north,south,X7)
| p(north,north,north,south,take_wolf(X7)) )
& ! [X8] :
( ~ p(north,north,north,south,X8)
| p(south,south,north,south,take_wolf(X8)) )
& ! [X9,X10,X11] :
( ~ p(south,X9,south,X10,X11)
| p(north,X9,north,X10,take_goat(X11)) )
& ! [X12,X13,X14] :
( ~ p(north,X12,north,X13,X14)
| p(south,X12,south,X13,take_goat(X14)) )
& ! [X15] :
( ~ p(south,north,south,south,X15)
| p(north,north,south,north,take_cabbage(X15)) )
& ! [X16] :
( ~ p(north,north,south,north,X16)
| p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( ~ p(south,south,north,south,X17)
| p(north,south,north,north,take_cabbage(X17)) )
& ! [X18] :
( ~ p(north,south,north,north,X18)
| p(south,south,north,south,take_cabbage(X18)) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(11,plain,
( ~ epred1_0
| ( p(south,south,south,south,start)
& ! [X19] :
( ~ p(south,north,south,north,X19)
| p(north,north,south,north,go_alone(X19)) )
& ! [X20] :
( ~ p(north,north,south,north,X20)
| p(south,north,south,north,go_alone(X20)) )
& ! [X21] :
( ~ p(south,south,north,south,X21)
| p(north,south,north,south,go_alone(X21)) )
& ! [X22] :
( ~ p(north,south,north,south,X22)
| p(south,south,north,south,go_alone(X22)) )
& ! [X23] :
( ~ p(south,south,south,north,X23)
| p(north,north,south,north,take_wolf(X23)) )
& ! [X24] :
( ~ p(north,north,south,north,X24)
| p(south,south,south,north,take_wolf(X24)) )
& ! [X25] :
( ~ p(south,south,north,south,X25)
| p(north,north,north,south,take_wolf(X25)) )
& ! [X26] :
( ~ p(north,north,north,south,X26)
| p(south,south,north,south,take_wolf(X26)) )
& ! [X27,X28,X29] :
( ~ p(south,X27,south,X28,X29)
| p(north,X27,north,X28,take_goat(X29)) )
& ! [X30,X31,X32] :
( ~ p(north,X30,north,X31,X32)
| p(south,X30,south,X31,take_goat(X32)) )
& ! [X33] :
( ~ p(south,north,south,south,X33)
| p(north,north,south,north,take_cabbage(X33)) )
& ! [X34] :
( ~ p(north,north,south,north,X34)
| p(south,north,south,south,take_cabbage(X34)) )
& ! [X35] :
( ~ p(south,south,north,south,X35)
| p(north,south,north,north,take_cabbage(X35)) )
& ! [X36] :
( ~ p(north,south,north,north,X36)
| p(south,south,north,south,take_cabbage(X36)) ) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36] :
( ( ( ~ p(north,south,north,north,X36)
| p(south,south,north,south,take_cabbage(X36)) )
& ( ~ p(south,south,north,south,X35)
| p(north,south,north,north,take_cabbage(X35)) )
& ( ~ p(north,north,south,north,X34)
| p(south,north,south,south,take_cabbage(X34)) )
& ( ~ p(south,north,south,south,X33)
| p(north,north,south,north,take_cabbage(X33)) )
& ( ~ p(north,X30,north,X31,X32)
| p(south,X30,south,X31,take_goat(X32)) )
& ( ~ p(south,X27,south,X28,X29)
| p(north,X27,north,X28,take_goat(X29)) )
& ( ~ p(north,north,north,south,X26)
| p(south,south,north,south,take_wolf(X26)) )
& ( ~ p(south,south,north,south,X25)
| p(north,north,north,south,take_wolf(X25)) )
& ( ~ p(north,north,south,north,X24)
| p(south,south,south,north,take_wolf(X24)) )
& ( ~ p(south,south,south,north,X23)
| p(north,north,south,north,take_wolf(X23)) )
& ( ~ p(north,south,north,south,X22)
| p(south,south,north,south,go_alone(X22)) )
& ( ~ p(south,south,north,south,X21)
| p(north,south,north,south,go_alone(X21)) )
& ( ~ p(north,north,south,north,X20)
| p(south,north,south,north,go_alone(X20)) )
& ( ~ p(south,north,south,north,X19)
| p(north,north,south,north,go_alone(X19)) )
& p(south,south,south,south,start) )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[11]) ).
fof(13,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36] :
( ( ~ p(north,south,north,north,X36)
| p(south,south,north,south,take_cabbage(X36))
| ~ epred1_0 )
& ( ~ p(south,south,north,south,X35)
| p(north,south,north,north,take_cabbage(X35))
| ~ epred1_0 )
& ( ~ p(north,north,south,north,X34)
| p(south,north,south,south,take_cabbage(X34))
| ~ epred1_0 )
& ( ~ p(south,north,south,south,X33)
| p(north,north,south,north,take_cabbage(X33))
| ~ epred1_0 )
& ( ~ p(north,X30,north,X31,X32)
| p(south,X30,south,X31,take_goat(X32))
| ~ epred1_0 )
& ( ~ p(south,X27,south,X28,X29)
| p(north,X27,north,X28,take_goat(X29))
| ~ epred1_0 )
& ( ~ p(north,north,north,south,X26)
| p(south,south,north,south,take_wolf(X26))
| ~ epred1_0 )
& ( ~ p(south,south,north,south,X25)
| p(north,north,north,south,take_wolf(X25))
| ~ epred1_0 )
& ( ~ p(north,north,south,north,X24)
| p(south,south,south,north,take_wolf(X24))
| ~ epred1_0 )
& ( ~ p(south,south,south,north,X23)
| p(north,north,south,north,take_wolf(X23))
| ~ epred1_0 )
& ( ~ p(north,south,north,south,X22)
| p(south,south,north,south,go_alone(X22))
| ~ epred1_0 )
& ( ~ p(south,south,north,south,X21)
| p(north,south,north,south,go_alone(X21))
| ~ epred1_0 )
& ( ~ p(north,north,south,north,X20)
| p(south,north,south,north,go_alone(X20))
| ~ epred1_0 )
& ( ~ p(south,north,south,north,X19)
| p(north,north,south,north,go_alone(X19))
| ~ epred1_0 )
& ( p(south,south,south,south,start)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[12]) ).
cnf(14,plain,
( p(south,south,south,south,start)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(16,plain,
( p(south,north,south,north,go_alone(X1))
| ~ epred1_0
| ~ p(north,north,south,north,X1) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(18,plain,
( p(south,south,north,south,go_alone(X1))
| ~ epred1_0
| ~ p(north,south,north,south,X1) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(19,plain,
( p(north,north,south,north,take_wolf(X1))
| ~ epred1_0
| ~ p(south,south,south,north,X1) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(23,plain,
( p(north,X1,north,X2,take_goat(X3))
| ~ epred1_0
| ~ p(south,X1,south,X2,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(24,plain,
( p(south,X1,south,X2,take_goat(X3))
| ~ epred1_0
| ~ p(north,X1,north,X2,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(27,plain,
( p(north,south,north,north,take_cabbage(X1))
| ~ epred1_0
| ~ p(south,south,north,south,X1) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(29,plain,
( p(south,south,south,south,start)
| $false ),
inference(rw,[status(thm)],[14,8,theory(equality)]) ).
cnf(30,plain,
p(south,south,south,south,start),
inference(cn,[status(thm)],[29,theory(equality)]) ).
cnf(31,plain,
( p(south,X1,south,X2,take_goat(X3))
| $false
| ~ p(north,X1,north,X2,X3) ),
inference(rw,[status(thm)],[24,8,theory(equality)]) ).
cnf(32,plain,
( p(south,X1,south,X2,take_goat(X3))
| ~ p(north,X1,north,X2,X3) ),
inference(cn,[status(thm)],[31,theory(equality)]) ).
cnf(33,plain,
( p(south,north,south,north,go_alone(X1))
| $false
| ~ p(north,north,south,north,X1) ),
inference(rw,[status(thm)],[16,8,theory(equality)]) ).
cnf(34,plain,
( p(south,north,south,north,go_alone(X1))
| ~ p(north,north,south,north,X1) ),
inference(cn,[status(thm)],[33,theory(equality)]) ).
cnf(39,plain,
( p(south,south,north,south,go_alone(X1))
| $false
| ~ p(north,south,north,south,X1) ),
inference(rw,[status(thm)],[18,8,theory(equality)]) ).
cnf(40,plain,
( p(south,south,north,south,go_alone(X1))
| ~ p(north,south,north,south,X1) ),
inference(cn,[status(thm)],[39,theory(equality)]) ).
cnf(43,plain,
( p(north,X1,north,X2,take_goat(X3))
| $false
| ~ p(south,X1,south,X2,X3) ),
inference(rw,[status(thm)],[23,8,theory(equality)]) ).
cnf(44,plain,
( p(north,X1,north,X2,take_goat(X3))
| ~ p(south,X1,south,X2,X3) ),
inference(cn,[status(thm)],[43,theory(equality)]) ).
cnf(45,plain,
~ p(south,north,south,north,X1),
inference(spm,[status(thm)],[9,44,theory(equality)]) ).
cnf(50,plain,
( p(north,south,north,north,take_cabbage(X1))
| $false
| ~ p(south,south,north,south,X1) ),
inference(rw,[status(thm)],[27,8,theory(equality)]) ).
cnf(51,plain,
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1) ),
inference(cn,[status(thm)],[50,theory(equality)]) ).
cnf(52,plain,
( p(north,north,south,north,take_wolf(X1))
| $false
| ~ p(south,south,south,north,X1) ),
inference(rw,[status(thm)],[19,8,theory(equality)]) ).
cnf(53,plain,
( p(north,north,south,north,take_wolf(X1))
| ~ p(south,south,south,north,X1) ),
inference(cn,[status(thm)],[52,theory(equality)]) ).
cnf(61,plain,
~ p(north,north,south,north,X1),
inference(spm,[status(thm)],[45,34,theory(equality)]) ).
cnf(63,plain,
~ p(south,south,south,north,X1),
inference(spm,[status(thm)],[61,53,theory(equality)]) ).
cnf(65,plain,
~ p(north,south,north,north,X1),
inference(spm,[status(thm)],[63,32,theory(equality)]) ).
cnf(68,plain,
~ p(south,south,north,south,X1),
inference(spm,[status(thm)],[65,51,theory(equality)]) ).
cnf(71,plain,
~ p(north,south,north,south,X1),
inference(spm,[status(thm)],[68,40,theory(equality)]) ).
cnf(76,plain,
~ p(south,south,south,south,X1),
inference(spm,[status(thm)],[71,44,theory(equality)]) ).
cnf(79,plain,
$false,
inference(sr,[status(thm)],[30,76,theory(equality)]) ).
cnf(80,plain,
$false,
79,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ047+1.p
% --creating new selector for []
% -running prover on /tmp/tmpzPaLKd/sel_PUZ047+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ047+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ047+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ047+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
%
%------------------------------------------------------------------------------