TSTP Solution File: SYN058-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN058-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 16:39:50 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 10 ( 4 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_6,plain,
! [A,B] :
( ~ big_s(A)
| ~ big_f(B)
| big_g(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
[] ).
cnf(161837552,plain,
( ~ big_s(A)
| ~ big_f(B)
| big_g(B) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
fof(clause_3,plain,
( ~ big_q(b)
| big_s(c) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
[] ).
cnf(161803408,plain,
( ~ big_q(b)
| big_s(c) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
fof(clause_1,plain,
! [A,B] :
( ~ big_p(A)
| big_q(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
[] ).
cnf(161791768,plain,
( ~ big_p(A)
| big_q(B) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_7,plain,
big_p(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
[] ).
cnf(161842504,plain,
big_p(d),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(174924560,plain,
big_q(A),
inference(resolution,[status(thm)],[161791768,161842504]),
[] ).
cnf(174936376,plain,
big_s(c),
inference(resolution,[status(thm)],[161803408,174924560]),
[] ).
cnf(174943544,plain,
( ~ big_f(A)
| big_g(A) ),
inference(resolution,[status(thm)],[161837552,174936376]),
[] ).
fof(clause_8,plain,
big_f(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
[] ).
cnf(161847328,plain,
big_f(d),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
cnf(174948968,plain,
big_g(d),
inference(resolution,[status(thm)],[174943544,161847328]),
[] ).
fof(clause_9,plain,
~ big_g(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
[] ).
cnf(161852176,plain,
~ big_g(d),
inference(rewrite,[status(thm)],[clause_9]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174948968,161852176]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(~big_s(A)|~big_f(B)|big_g(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
%
% cnf(161837552,plain,(~big_s(A)|~big_f(B)|big_g(B)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% fof(clause_3,plain,(~big_q(b)|big_s(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
%
% cnf(161803408,plain,(~big_q(b)|big_s(c)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% fof(clause_1,plain,(~big_p(A)|big_q(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
%
% cnf(161791768,plain,(~big_p(A)|big_q(B)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_7,plain,(big_p(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
%
% cnf(161842504,plain,(big_p(d)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(174924560,plain,(big_q(A)),inference(resolution,[status(thm)],[161791768,161842504]),[]).
%
% cnf(174936376,plain,(big_s(c)),inference(resolution,[status(thm)],[161803408,174924560]),[]).
%
% cnf(174943544,plain,(~big_f(A)|big_g(A)),inference(resolution,[status(thm)],[161837552,174936376]),[]).
%
% fof(clause_8,plain,(big_f(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
%
% cnf(161847328,plain,(big_f(d)),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% cnf(174948968,plain,(big_g(d)),inference(resolution,[status(thm)],[174943544,161847328]),[]).
%
% fof(clause_9,plain,(~big_g(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
%
% cnf(161852176,plain,(~big_g(d)),inference(rewrite,[status(thm)],[clause_9]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174948968,161852176]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------