TSTP Solution File: SYN062-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN062-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 16:40:07 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_5,plain,
big_f(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),
[] ).
cnf(170975368,plain,
big_f(a),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_2,plain,
! [A] :
( ~ big_f(A)
| ~ big_h(A)
| big_i(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),
[] ).
cnf(170951832,plain,
( ~ big_f(A)
| ~ big_h(A)
| big_i(A) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
fof(clause_4,plain,
! [A] :
( ~ big_k(A)
| big_h(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),
[] ).
cnf(170966568,plain,
( ~ big_k(A)
| big_h(A) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
fof(clause_6,plain,
big_k(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),
[] ).
cnf(170980160,plain,
big_k(a),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(184069400,plain,
big_h(a),
inference(resolution,[status(thm)],[170966568,170980160]),
[] ).
cnf(184074832,plain,
big_i(a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170975368,170951832,184069400]),
[] ).
fof(clause_3,plain,
! [A] :
( ~ big_i(A)
| ~ big_h(A)
| big_j(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),
[] ).
cnf(170960064,plain,
( ~ big_i(A)
| ~ big_h(A)
| big_j(A) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(184081120,plain,
big_j(a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184074832,170960064,184069400]),
[] ).
fof(clause_7,plain,
~ big_j(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),
[] ).
cnf(170984928,plain,
~ big_j(a),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[184081120,170984928]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_5,plain,(big_f(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),[]).
%
% cnf(170975368,plain,(big_f(a)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_2,plain,(~big_f(A)|~big_h(A)|big_i(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),[]).
%
% cnf(170951832,plain,(~big_f(A)|~big_h(A)|big_i(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% fof(clause_4,plain,(~big_k(A)|big_h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),[]).
%
% cnf(170966568,plain,(~big_k(A)|big_h(A)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% fof(clause_6,plain,(big_k(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),[]).
%
% cnf(170980160,plain,(big_k(a)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(184069400,plain,(big_h(a)),inference(resolution,[status(thm)],[170966568,170980160]),[]).
%
% cnf(184074832,plain,(big_i(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170975368,170951832,184069400]),[]).
%
% fof(clause_3,plain,(~big_i(A)|~big_h(A)|big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),[]).
%
% cnf(170960064,plain,(~big_i(A)|~big_h(A)|big_j(A)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(184081120,plain,(big_j(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[184074832,170960064,184069400]),[]).
%
% fof(clause_7,plain,(~big_j(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062-1.tptp',unknown),[]).
%
% cnf(170984928,plain,(~big_j(a)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[184081120,170984928]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------