TSTP Solution File: PLA002-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PLA002-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 15:07:43 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 8 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(walk_b_to_a,plain,
! [A] :
( ~ at(b,A)
| at(a,walk(a,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154233696,plain,
( ~ at(b,A)
| at(a,walk(a,A)) ),
inference(rewrite,[status(thm)],[walk_b_to_a]),
[] ).
fof(prove_you_can_get_to_a,plain,
! [A] : ~ at(a,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154322288,plain,
~ at(a,A),
inference(rewrite,[status(thm)],[prove_you_can_get_to_a]),
[] ).
cnf(162170840,plain,
~ at(b,A),
inference(resolution,[status(thm)],[154233696,154322288]),
[] ).
fof(climb_mountain_d_to_b,plain,
! [A] :
( ~ warm(A)
| ~ at(d,A)
| at(b,climb(b,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154274312,plain,
( ~ warm(A)
| ~ at(d,A)
| at(b,climb(b,A)) ),
inference(rewrite,[status(thm)],[climb_mountain_d_to_b]),
[] ).
fof(cross_river_c_to_b,plain,
! [A] :
( ~ cold(A)
| ~ at(c,A)
| at(b,skate(b,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154256016,plain,
( ~ cold(A)
| ~ at(c,A)
| at(b,skate(b,A)) ),
inference(rewrite,[status(thm)],[cross_river_c_to_b]),
[] ).
fof(warm_or_cold,plain,
! [A,B] :
( warm(A)
| cold(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154212768,plain,
( warm(A)
| cold(B) ),
inference(rewrite,[status(thm)],[warm_or_cold]),
[] ).
cnf(162650392,plain,
( ~ at(c,A)
| warm(B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154256016,154212768]),
[] ).
fof(go_d_to_c,plain,
! [A] :
( ~ at(d,A)
| at(c,go(c,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154289904,plain,
( ~ at(d,A)
| at(c,go(c,A)) ),
inference(rewrite,[status(thm)],[go_d_to_c]),
[] ).
fof(go_f_to_d,plain,
! [A] :
( ~ at(f,A)
| at(d,go(d,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154313288,plain,
( ~ at(f,A)
| at(d,go(d,A)) ),
inference(rewrite,[status(thm)],[go_f_to_d]),
[] ).
fof(initial,plain,
at(f,s0),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
[] ).
cnf(154317952,plain,
at(f,s0),
inference(rewrite,[status(thm)],[initial]),
[] ).
cnf(162161312,plain,
at(d,go(d,s0)),
inference(resolution,[status(thm)],[154313288,154317952]),
[] ).
cnf(162198952,plain,
at(c,go(c,go(d,s0))),
inference(resolution,[status(thm)],[154289904,162161312]),
[] ).
cnf(162742128,plain,
warm(A),
inference(resolution,[status(thm)],[162650392,162198952]),
[] ).
cnf(162976224,plain,
~ at(d,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154274312,162742128]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[162976224,162161312]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(walk_b_to_a,plain,(~at(b,A)|at(a,walk(a,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154233696,plain,(~at(b,A)|at(a,walk(a,A))),inference(rewrite,[status(thm)],[walk_b_to_a]),[]).
%
% fof(prove_you_can_get_to_a,plain,(~at(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154322288,plain,(~at(a,A)),inference(rewrite,[status(thm)],[prove_you_can_get_to_a]),[]).
%
% cnf(162170840,plain,(~at(b,A)),inference(resolution,[status(thm)],[154233696,154322288]),[]).
%
% fof(climb_mountain_d_to_b,plain,(~warm(A)|~at(d,A)|at(b,climb(b,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154274312,plain,(~warm(A)|~at(d,A)|at(b,climb(b,A))),inference(rewrite,[status(thm)],[climb_mountain_d_to_b]),[]).
%
% fof(cross_river_c_to_b,plain,(~cold(A)|~at(c,A)|at(b,skate(b,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154256016,plain,(~cold(A)|~at(c,A)|at(b,skate(b,A))),inference(rewrite,[status(thm)],[cross_river_c_to_b]),[]).
%
% fof(warm_or_cold,plain,(warm(A)|cold(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154212768,plain,(warm(A)|cold(B)),inference(rewrite,[status(thm)],[warm_or_cold]),[]).
%
% cnf(162650392,plain,(~at(c,A)|warm(B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154256016,154212768]),[]).
%
% fof(go_d_to_c,plain,(~at(d,A)|at(c,go(c,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154289904,plain,(~at(d,A)|at(c,go(c,A))),inference(rewrite,[status(thm)],[go_d_to_c]),[]).
%
% fof(go_f_to_d,plain,(~at(f,A)|at(d,go(d,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154313288,plain,(~at(f,A)|at(d,go(d,A))),inference(rewrite,[status(thm)],[go_f_to_d]),[]).
%
% fof(initial,plain,(at(f,s0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
%
% cnf(154317952,plain,(at(f,s0)),inference(rewrite,[status(thm)],[initial]),[]).
%
% cnf(162161312,plain,(at(d,go(d,s0))),inference(resolution,[status(thm)],[154313288,154317952]),[]).
%
% cnf(162198952,plain,(at(c,go(c,go(d,s0)))),inference(resolution,[status(thm)],[154289904,162161312]),[]).
%
% cnf(162742128,plain,(warm(A)),inference(resolution,[status(thm)],[162650392,162198952]),[]).
%
% cnf(162976224,plain,(~at(d,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154274312,162742128]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162976224,162161312]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------