TSTP Solution File: SYN050-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN050-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 16:39:13 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_1,plain,
! [A,B] :
( ~ big_p(A)
| ~ big_q(B)
| big_r(f(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),
[] ).
cnf(156095512,plain,
( ~ big_p(A)
| ~ big_q(B)
| big_r(f(A,B)) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_3,plain,
big_p(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),
[] ).
cnf(156108488,plain,
big_p(a),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(174424688,plain,
( ~ big_q(A)
| big_r(f(a,A)) ),
inference(resolution,[status(thm)],[156095512,156108488]),
[] ).
fof(clause_5,plain,
! [A] : ~ big_r(A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),
[] ).
cnf(156118048,plain,
~ big_r(A),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
cnf(174443888,plain,
~ big_q(A),
inference(resolution,[status(thm)],[174424688,156118048]),
[] ).
fof(clause_4,plain,
big_q(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),
[] ).
cnf(156113248,plain,
big_q(b),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174443888,156113248]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_1,plain,(~big_p(A)|~big_q(B)|big_r(f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),[]).
%
% cnf(156095512,plain,(~big_p(A)|~big_q(B)|big_r(f(A,B))),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_3,plain,(big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),[]).
%
% cnf(156108488,plain,(big_p(a)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(174424688,plain,(~big_q(A)|big_r(f(a,A))),inference(resolution,[status(thm)],[156095512,156108488]),[]).
%
% fof(clause_5,plain,(~big_r(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),[]).
%
% cnf(156118048,plain,(~big_r(A)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% cnf(174443888,plain,(~big_q(A)),inference(resolution,[status(thm)],[174424688,156118048]),[]).
%
% fof(clause_4,plain,(big_q(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050-1.tptp',unknown),[]).
%
% cnf(156113248,plain,(big_q(b)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174443888,156113248]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------