TSTP Solution File: PLA002-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PLA002-2 : 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 15:07:46 EDT 2009
% Result : Unsatisfiable 17.2s
% Output : Refutation 17.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 56 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 12 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(go_situation,plain,
! [A,B] :
( ~ situation(A)
| situation(go(B,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160958080,plain,
( ~ situation(A)
| situation(go(B,A)) ),
inference(rewrite,[status(thm)],[go_situation]),
[] ).
fof(initial_situation,plain,
situation(s0),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160887808,plain,
situation(s0),
inference(rewrite,[status(thm)],[initial_situation]),
[] ).
cnf(168870680,plain,
situation(go(A,s0)),
inference(resolution,[status(thm)],[160958080,160887808]),
[] ).
cnf(171211032,plain,
situation(go(B,go(A,s0))),
inference(resolution,[status(thm)],[168870680,160958080]),
[] ).
fof(walk_situation,plain,
! [A,B] :
( ~ situation(A)
| situation(walk(B,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160904392,plain,
( ~ situation(A)
| situation(walk(B,A)) ),
inference(rewrite,[status(thm)],[walk_situation]),
[] ).
fof(walk_b_to_a,plain,
! [A] :
( ~ at(b,A)
| at(a,walk(a,A))
| ~ situation(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160788944,plain,
( ~ at(b,A)
| at(a,walk(a,A))
| ~ situation(A) ),
inference(rewrite,[status(thm)],[walk_b_to_a]),
[] ).
fof(prove_you_can_get_to_a_in_a_situation,plain,
! [A] :
( ~ at(a,A)
| ~ situation(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160972032,plain,
( ~ at(a,A)
| ~ situation(A) ),
inference(rewrite,[status(thm)],[prove_you_can_get_to_a_in_a_situation]),
[] ).
cnf(182135664,plain,
( ~ at(b,A)
| ~ situation(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160904392,160788944,160972032]),
[] ).
fof(skate_situation,plain,
! [A,B] :
( ~ situation(A)
| situation(skate(B,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160942864,plain,
( ~ situation(A)
| situation(skate(B,A)) ),
inference(rewrite,[status(thm)],[skate_situation]),
[] ).
cnf(280881360,plain,
( ~ at(b,skate(B,A))
| ~ situation(A) ),
inference(resolution,[status(thm)],[182135664,160942864]),
[] ).
fof(cross_river_c_to_b,plain,
! [A] :
( ~ cold(A)
| ~ at(c,A)
| at(b,skate(b,A))
| ~ situation(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160816408,plain,
( ~ cold(A)
| ~ at(c,A)
| at(b,skate(b,A))
| ~ situation(A) ),
inference(rewrite,[status(thm)],[cross_river_c_to_b]),
[] ).
fof(warm_or_cold,plain,
! [A,B] :
( warm(A)
| cold(B)
| ~ situation(A)
| ~ situation(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160762832,plain,
( warm(A)
| cold(B)
| ~ situation(A)
| ~ situation(B) ),
inference(rewrite,[status(thm)],[warm_or_cold]),
[] ).
cnf(322490136,plain,
( ~ at(c,A)
| ~ situation(A)
| warm(B)
| ~ situation(B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[280881360,160816408,160762832]),
[] ).
fof(climb_situation,plain,
! [A,B] :
( ~ situation(A)
| situation(climb(B,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160931512,plain,
( ~ situation(A)
| situation(climb(B,A)) ),
inference(rewrite,[status(thm)],[climb_situation]),
[] ).
cnf(171066272,plain,
( ~ situation(A)
| situation(climb(C,go(B,A))) ),
inference(resolution,[status(thm)],[160958080,160931512]),
[] ).
cnf(281635392,plain,
( ~ at(b,climb(C,go(B,A)))
| ~ situation(A) ),
inference(resolution,[status(thm)],[182135664,171066272]),
[] ).
fof(climb_mountain_d_to_b,plain,
! [A] :
( ~ warm(A)
| ~ at(d,A)
| at(b,climb(b,A))
| ~ situation(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160834048,plain,
( ~ warm(A)
| ~ at(d,A)
| at(b,climb(b,A))
| ~ situation(A) ),
inference(rewrite,[status(thm)],[climb_mountain_d_to_b]),
[] ).
fof(go_c_to_d,plain,
! [A] :
( ~ at(c,A)
| at(d,go(d,A))
| ~ situation(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160845624,plain,
( ~ at(c,A)
| at(d,go(d,A))
| ~ situation(A) ),
inference(rewrite,[status(thm)],[go_c_to_d]),
[] ).
cnf(327319656,plain,
( ~ at(c,A)
| ~ situation(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[322490136,160958080,281635392,160834048,160845624]),
[] ).
fof(go_d_to_c,plain,
! [A] :
( ~ at(d,A)
| at(c,go(c,A))
| ~ situation(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160853032,plain,
( ~ at(d,A)
| at(c,go(c,A))
| ~ situation(A) ),
inference(rewrite,[status(thm)],[go_d_to_c]),
[] ).
fof(initial,plain,
at(f,s0),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160962608,plain,
at(f,s0),
inference(rewrite,[status(thm)],[initial]),
[] ).
fof(go_f_to_d,plain,
! [A] :
( ~ at(f,A)
| at(d,go(d,A))
| ~ situation(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),
[] ).
cnf(160883168,plain,
( ~ at(f,A)
| at(d,go(d,A))
| ~ situation(A) ),
inference(rewrite,[status(thm)],[go_f_to_d]),
[] ).
cnf(169046840,plain,
at(d,go(d,s0)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160962608,160883168,160887808]),
[] ).
cnf(204770160,plain,
at(c,go(c,go(d,s0))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168870680,160853032,169046840]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[171211032,327319656,204770160]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 16 seconds
% START OF PROOF SEQUENCE
% fof(go_situation,plain,(~situation(A)|situation(go(B,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160958080,plain,(~situation(A)|situation(go(B,A))),inference(rewrite,[status(thm)],[go_situation]),[]).
%
% fof(initial_situation,plain,(situation(s0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160887808,plain,(situation(s0)),inference(rewrite,[status(thm)],[initial_situation]),[]).
%
% cnf(168870680,plain,(situation(go(A,s0))),inference(resolution,[status(thm)],[160958080,160887808]),[]).
%
% cnf(171211032,plain,(situation(go(B,go(A,s0)))),inference(resolution,[status(thm)],[168870680,160958080]),[]).
%
% fof(walk_situation,plain,(~situation(A)|situation(walk(B,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160904392,plain,(~situation(A)|situation(walk(B,A))),inference(rewrite,[status(thm)],[walk_situation]),[]).
%
% fof(walk_b_to_a,plain,(~at(b,A)|at(a,walk(a,A))|~situation(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160788944,plain,(~at(b,A)|at(a,walk(a,A))|~situation(A)),inference(rewrite,[status(thm)],[walk_b_to_a]),[]).
%
% fof(prove_you_can_get_to_a_in_a_situation,plain,(~at(a,A)|~situation(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160972032,plain,(~at(a,A)|~situation(A)),inference(rewrite,[status(thm)],[prove_you_can_get_to_a_in_a_situation]),[]).
%
% cnf(182135664,plain,(~at(b,A)|~situation(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160904392,160788944,160972032]),[]).
%
% fof(skate_situation,plain,(~situation(A)|situation(skate(B,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160942864,plain,(~situation(A)|situation(skate(B,A))),inference(rewrite,[status(thm)],[skate_situation]),[]).
%
% cnf(280881360,plain,(~at(b,skate(B,A))|~situation(A)),inference(resolution,[status(thm)],[182135664,160942864]),[]).
%
% fof(cross_river_c_to_b,plain,(~cold(A)|~at(c,A)|at(b,skate(b,A))|~situation(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160816408,plain,(~cold(A)|~at(c,A)|at(b,skate(b,A))|~situation(A)),inference(rewrite,[status(thm)],[cross_river_c_to_b]),[]).
%
% fof(warm_or_cold,plain,(warm(A)|cold(B)|~situation(A)|~situation(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160762832,plain,(warm(A)|cold(B)|~situation(A)|~situation(B)),inference(rewrite,[status(thm)],[warm_or_cold]),[]).
%
% cnf(322490136,plain,(~at(c,A)|~situation(A)|warm(B)|~situation(B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[280881360,160816408,160762832]),[]).
%
% fof(climb_situation,plain,(~situation(A)|situation(climb(B,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160931512,plain,(~situation(A)|situation(climb(B,A))),inference(rewrite,[status(thm)],[climb_situation]),[]).
%
% cnf(171066272,plain,(~situation(A)|situation(climb(C,go(B,A)))),inference(resolution,[status(thm)],[160958080,160931512]),[]).
%
% cnf(281635392,plain,(~at(b,climb(C,go(B,A)))|~situation(A)),inference(resolution,[status(thm)],[182135664,171066272]),[]).
%
% fof(climb_mountain_d_to_b,plain,(~warm(A)|~at(d,A)|at(b,climb(b,A))|~situation(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160834048,plain,(~warm(A)|~at(d,A)|at(b,climb(b,A))|~situation(A)),inference(rewrite,[status(thm)],[climb_mountain_d_to_b]),[]).
%
% fof(go_c_to_d,plain,(~at(c,A)|at(d,go(d,A))|~situation(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160845624,plain,(~at(c,A)|at(d,go(d,A))|~situation(A)),inference(rewrite,[status(thm)],[go_c_to_d]),[]).
%
% cnf(327319656,plain,(~at(c,A)|~situation(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[322490136,160958080,281635392,160834048,160845624]),[]).
%
% fof(go_d_to_c,plain,(~at(d,A)|at(c,go(c,A))|~situation(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160853032,plain,(~at(d,A)|at(c,go(c,A))|~situation(A)),inference(rewrite,[status(thm)],[go_d_to_c]),[]).
%
% fof(initial,plain,(at(f,s0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160962608,plain,(at(f,s0)),inference(rewrite,[status(thm)],[initial]),[]).
%
% fof(go_f_to_d,plain,(~at(f,A)|at(d,go(d,A))|~situation(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-2.tptp',unknown),[]).
%
% cnf(160883168,plain,(~at(f,A)|at(d,go(d,A))|~situation(A)),inference(rewrite,[status(thm)],[go_f_to_d]),[]).
%
% cnf(169046840,plain,(at(d,go(d,s0))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160962608,160883168,160887808]),[]).
%
% cnf(204770160,plain,(at(c,go(c,go(d,s0)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168870680,160853032,169046840]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[171211032,327319656,204770160]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------