TSTP Solution File: MSC006-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MSC006-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 14:05:18 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 32 ( 4 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(p_transitivity,plain,
! [A,B,C] :
( ~ p(A,B)
| ~ p(B,C)
| p(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),
[] ).
cnf(142080792,plain,
( ~ p(A,B)
| ~ p(B,C)
| p(A,C) ),
inference(rewrite,[status(thm)],[p_transitivity]),
[] ).
fof(p_is_not_total,plain,
~ p(a,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),
[] ).
cnf(142103880,plain,
~ p(a,b),
inference(rewrite,[status(thm)],[p_is_not_total]),
[] ).
cnf(149911168,plain,
( ~ p(a,A)
| ~ p(A,b) ),
inference(resolution,[status(thm)],[142080792,142103880]),
[] ).
fof(all_related,plain,
! [A,B] :
( p(A,B)
| q(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),
[] ).
cnf(142100072,plain,
( p(A,B)
| q(A,B) ),
inference(rewrite,[status(thm)],[all_related]),
[] ).
cnf(150158088,plain,
( ~ p(A,b)
| q(a,A) ),
inference(resolution,[status(thm)],[149911168,142100072]),
[] ).
fof(q_symmetry,plain,
! [A,B] :
( ~ q(A,B)
| q(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),
[] ).
cnf(142093872,plain,
( ~ q(A,B)
| q(B,A) ),
inference(rewrite,[status(thm)],[q_symmetry]),
[] ).
cnf(150038368,plain,
( q(B,A)
| p(A,B) ),
inference(resolution,[status(thm)],[142093872,142100072]),
[] ).
cnf(150641208,plain,
( q(a,A)
| q(b,A) ),
inference(resolution,[status(thm)],[150158088,150038368]),
[] ).
cnf(150693952,plain,
( q(b,A)
| q(A,a) ),
inference(resolution,[status(thm)],[150641208,142093872]),
[] ).
fof(q_transitivity,plain,
! [A,B,C] :
( ~ q(A,B)
| ~ q(B,C)
| q(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),
[] ).
cnf(142088960,plain,
( ~ q(A,B)
| ~ q(B,C)
| q(A,C) ),
inference(rewrite,[status(thm)],[q_transitivity]),
[] ).
cnf(149886872,plain,
q(a,b),
inference(resolution,[status(thm)],[142100072,142103880]),
[] ).
cnf(149940808,plain,
( ~ q(b,A)
| q(a,A) ),
inference(resolution,[status(thm)],[142088960,149886872]),
[] ).
cnf(151386168,plain,
q(A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[150693952,149940808,142093872]),
[] ).
cnf(150635856,plain,
( q(a,A)
| q(A,b) ),
inference(resolution,[status(thm)],[150158088,142100072]),
[] ).
cnf(151382496,plain,
q(a,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[150635856,149940808,142093872]),
[] ).
cnf(151441664,plain,
q(B,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151386168,151382496,142088960]),
[] ).
fof(prove_q_is_total,plain,
~ q(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),
[] ).
cnf(142107816,plain,
~ q(c,d),
inference(rewrite,[status(thm)],[prove_q_is_total]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[151441664,142107816]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(p_transitivity,plain,(~p(A,B)|~p(B,C)|p(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),[]).
%
% cnf(142080792,plain,(~p(A,B)|~p(B,C)|p(A,C)),inference(rewrite,[status(thm)],[p_transitivity]),[]).
%
% fof(p_is_not_total,plain,(~p(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),[]).
%
% cnf(142103880,plain,(~p(a,b)),inference(rewrite,[status(thm)],[p_is_not_total]),[]).
%
% cnf(149911168,plain,(~p(a,A)|~p(A,b)),inference(resolution,[status(thm)],[142080792,142103880]),[]).
%
% fof(all_related,plain,(p(A,B)|q(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),[]).
%
% cnf(142100072,plain,(p(A,B)|q(A,B)),inference(rewrite,[status(thm)],[all_related]),[]).
%
% cnf(150158088,plain,(~p(A,b)|q(a,A)),inference(resolution,[status(thm)],[149911168,142100072]),[]).
%
% fof(q_symmetry,plain,(~q(A,B)|q(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),[]).
%
% cnf(142093872,plain,(~q(A,B)|q(B,A)),inference(rewrite,[status(thm)],[q_symmetry]),[]).
%
% cnf(150038368,plain,(q(B,A)|p(A,B)),inference(resolution,[status(thm)],[142093872,142100072]),[]).
%
% cnf(150641208,plain,(q(a,A)|q(b,A)),inference(resolution,[status(thm)],[150158088,150038368]),[]).
%
% cnf(150693952,plain,(q(b,A)|q(A,a)),inference(resolution,[status(thm)],[150641208,142093872]),[]).
%
% fof(q_transitivity,plain,(~q(A,B)|~q(B,C)|q(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),[]).
%
% cnf(142088960,plain,(~q(A,B)|~q(B,C)|q(A,C)),inference(rewrite,[status(thm)],[q_transitivity]),[]).
%
% cnf(149886872,plain,(q(a,b)),inference(resolution,[status(thm)],[142100072,142103880]),[]).
%
% cnf(149940808,plain,(~q(b,A)|q(a,A)),inference(resolution,[status(thm)],[142088960,149886872]),[]).
%
% cnf(151386168,plain,(q(A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[150693952,149940808,142093872]),[]).
%
% cnf(150635856,plain,(q(a,A)|q(A,b)),inference(resolution,[status(thm)],[150158088,142100072]),[]).
%
% cnf(151382496,plain,(q(a,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[150635856,149940808,142093872]),[]).
%
% cnf(151441664,plain,(q(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[151386168,151382496,142088960]),[]).
%
% fof(prove_q_is_total,plain,(~q(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC006-1.tptp',unknown),[]).
%
% cnf(142107816,plain,(~q(c,d)),inference(rewrite,[status(thm)],[prove_q_is_total]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[151441664,142107816]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------