TSTP Solution File: SYN101-1.002.002 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN101-1.002.002 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:43:22 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(n_3,plain,
nq_2(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),
[] ).
cnf(149352032,plain,
nq_2(a),
inference(rewrite,[status(thm)],[n_3]),
[] ).
fof(n_t2_1,plain,
! [A,B] :
( p_1_1(A,B)
| ~ nq_1(A)
| ~ nq_2(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),
[] ).
cnf(149310496,plain,
( p_1_1(A,B)
| ~ nq_1(A)
| ~ nq_2(B) ),
inference(rewrite,[status(thm)],[n_t2_1]),
[] ).
fof(n_1,plain,
nq_1(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),
[] ).
cnf(149343400,plain,
nq_1(a),
inference(rewrite,[status(thm)],[n_1]),
[] ).
cnf(157186144,plain,
( p_1_1(a,A)
| ~ nq_2(A) ),
inference(resolution,[status(thm)],[149310496,149343400]),
[] ).
cnf(157332104,plain,
p_1_1(a,a),
inference(resolution,[status(thm)],[149352032,157186144]),
[] ).
fof(n_t2_3,plain,
! [A,B] :
( p_2_2(A,B)
| ~ nq_1(A)
| ~ nq_2(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),
[] ).
cnf(149328040,plain,
( p_2_2(A,B)
| ~ nq_1(A)
| ~ nq_2(B) ),
inference(rewrite,[status(thm)],[n_t2_3]),
[] ).
cnf(157205616,plain,
( p_2_2(a,A)
| ~ nq_2(A) ),
inference(resolution,[status(thm)],[149328040,149343400]),
[] ).
cnf(157453480,plain,
p_2_2(a,a),
inference(resolution,[status(thm)],[149352032,157205616]),
[] ).
fof(n_s2_goal_1,plain,
~ p_1_2(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),
[] ).
cnf(149231840,plain,
~ p_1_2(a,a),
inference(rewrite,[status(thm)],[n_s2_goal_1]),
[] ).
fof(n_s2_type11_1,plain,
! [A,B] :
( p_1_2(A,B)
| ~ p_2_2(A,B)
| ~ p_1_1(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),
[] ).
cnf(149240384,plain,
( p_1_2(A,B)
| ~ p_2_2(A,B)
| ~ p_1_1(A,B) ),
inference(rewrite,[status(thm)],[n_s2_type11_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[157332104,157453480,149231840,149240384]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(n_3,plain,(nq_2(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),[]).
%
% cnf(149352032,plain,(nq_2(a)),inference(rewrite,[status(thm)],[n_3]),[]).
%
% fof(n_t2_1,plain,(p_1_1(A,B)|~nq_1(A)|~nq_2(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),[]).
%
% cnf(149310496,plain,(p_1_1(A,B)|~nq_1(A)|~nq_2(B)),inference(rewrite,[status(thm)],[n_t2_1]),[]).
%
% fof(n_1,plain,(nq_1(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),[]).
%
% cnf(149343400,plain,(nq_1(a)),inference(rewrite,[status(thm)],[n_1]),[]).
%
% cnf(157186144,plain,(p_1_1(a,A)|~nq_2(A)),inference(resolution,[status(thm)],[149310496,149343400]),[]).
%
% cnf(157332104,plain,(p_1_1(a,a)),inference(resolution,[status(thm)],[149352032,157186144]),[]).
%
% fof(n_t2_3,plain,(p_2_2(A,B)|~nq_1(A)|~nq_2(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),[]).
%
% cnf(149328040,plain,(p_2_2(A,B)|~nq_1(A)|~nq_2(B)),inference(rewrite,[status(thm)],[n_t2_3]),[]).
%
% cnf(157205616,plain,(p_2_2(a,A)|~nq_2(A)),inference(resolution,[status(thm)],[149328040,149343400]),[]).
%
% cnf(157453480,plain,(p_2_2(a,a)),inference(resolution,[status(thm)],[149352032,157205616]),[]).
%
% fof(n_s2_goal_1,plain,(~p_1_2(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),[]).
%
% cnf(149231840,plain,(~p_1_2(a,a)),inference(rewrite,[status(thm)],[n_s2_goal_1]),[]).
%
% fof(n_s2_type11_1,plain,(p_1_2(A,B)|~p_2_2(A,B)|~p_1_1(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN101-1.002.002.tptp',unknown),[]).
%
% cnf(149240384,plain,(p_1_2(A,B)|~p_2_2(A,B)|~p_1_1(A,B)),inference(rewrite,[status(thm)],[n_s2_type11_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[157332104,157453480,149231840,149240384]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------