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 v2.0.0.
% 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 : Theorem 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 251 ( 0 equ)
% Maximal formula atoms : 240 ( 31 avg)
% Number of connectives : 342 ( 99 ~; 164 |; 79 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 89 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 18 ( 10 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel20,plain,
! [E,F,G,B,A,D] :
( ( big_p(E)
| big_p(E)
| big_p(E) )
& ( big_q(F)
| big_p(E)
| big_p(E) )
& ( ~ big_r(G)
| big_p(E)
| big_p(E) )
& ( ~ big_q(B)
| big_p(E)
| big_p(E) )
& ( big_p(E)
| big_q(F)
| big_p(E) )
& ( big_q(F)
| big_q(F)
| big_p(E) )
& ( ~ big_r(G)
| big_q(F)
| big_p(E) )
& ( ~ big_q(B)
| big_q(F)
| big_p(E) )
& ( big_p(E)
| ~ big_r(G)
| big_p(E) )
& ( big_q(F)
| ~ big_r(G)
| big_p(E) )
& ( ~ big_r(G)
| ~ big_r(G)
| big_p(E) )
& ( ~ big_q(B)
| ~ big_r(G)
| big_p(E) )
& ( big_p(E)
| ~ big_p(A)
| big_p(E) )
& ( big_q(F)
| ~ big_p(A)
| big_p(E) )
& ( ~ big_r(G)
| ~ big_p(A)
| big_p(E) )
& ( ~ big_q(B)
| ~ big_p(A)
| big_p(E) )
& ( big_p(E)
| big_p(E)
| big_q(F) )
& ( big_q(F)
| big_p(E)
| big_q(F) )
& ( ~ big_r(G)
| big_p(E)
| big_q(F) )
& ( ~ big_q(B)
| big_p(E)
| big_q(F) )
& ( big_p(E)
| big_q(F)
| big_q(F) )
& ( big_q(F)
| big_q(F)
| big_q(F) )
& ( ~ big_r(G)
| big_q(F)
| big_q(F) )
& ( ~ big_q(B)
| big_q(F)
| big_q(F) )
& ( big_p(E)
| ~ big_r(G)
| big_q(F) )
& ( big_q(F)
| ~ big_r(G)
| big_q(F) )
& ( ~ big_r(G)
| ~ big_r(G)
| big_q(F) )
& ( ~ big_q(B)
| ~ big_r(G)
| big_q(F) )
& ( big_p(E)
| ~ big_p(A)
| big_q(F) )
& ( big_q(F)
| ~ big_p(A)
| big_q(F) )
& ( ~ big_r(G)
| ~ big_p(A)
| big_q(F) )
& ( ~ big_q(B)
| ~ big_p(A)
| big_q(F) )
& ( big_p(E)
| big_p(E)
| ~ big_r(G) )
& ( big_q(F)
| big_p(E)
| ~ big_r(G) )
& ( ~ big_r(G)
| big_p(E)
| ~ big_r(G) )
& ( ~ big_q(B)
| big_p(E)
| ~ big_r(G) )
& ( big_p(E)
| big_q(F)
| ~ big_r(G) )
& ( big_q(F)
| big_q(F)
| ~ big_r(G) )
& ( ~ big_r(G)
| big_q(F)
| ~ big_r(G) )
& ( ~ big_q(B)
| big_q(F)
| ~ big_r(G) )
& ( big_p(E)
| ~ big_r(G)
| ~ big_r(G) )
& ( big_q(F)
| ~ big_r(G)
| ~ big_r(G) )
& ( ~ big_r(G)
| ~ big_r(G)
| ~ big_r(G) )
& ( ~ big_q(B)
| ~ big_r(G)
| ~ big_r(G) )
& ( big_p(E)
| ~ big_p(A)
| ~ big_r(G) )
& ( big_q(F)
| ~ big_p(A)
| ~ big_r(G) )
& ( ~ big_r(G)
| ~ big_p(A)
| ~ big_r(G) )
& ( ~ big_q(B)
| ~ big_p(A)
| ~ big_r(G) )
& ( big_p(E)
| big_p(E)
| big_r(z(A,B)) )
& ( big_q(F)
| big_p(E)
| big_r(z(A,B)) )
& ( ~ big_r(G)
| big_p(E)
| big_r(z(A,B)) )
& ( ~ big_q(B)
| big_p(E)
| big_r(z(A,B)) )
& ( big_p(E)
| big_q(F)
| big_r(z(A,B)) )
& ( big_q(F)
| big_q(F)
| big_r(z(A,B)) )
& ( ~ big_r(G)
| big_q(F)
| big_r(z(A,B)) )
& ( ~ big_q(B)
| big_q(F)
| big_r(z(A,B)) )
& ( big_p(E)
| ~ big_r(G)
| big_r(z(A,B)) )
& ( big_q(F)
| ~ big_r(G)
| big_r(z(A,B)) )
& ( ~ big_r(G)
| ~ big_r(G)
| big_r(z(A,B)) )
& ( ~ big_q(B)
| ~ big_r(G)
| big_r(z(A,B)) )
& ( big_p(E)
| ~ big_p(A)
| big_r(z(A,B)) )
& ( big_q(F)
| ~ big_p(A)
| big_r(z(A,B)) )
& ( ~ big_r(G)
| ~ big_p(A)
| big_r(z(A,B)) )
& ( ~ big_q(B)
| ~ big_p(A)
| big_r(z(A,B)) )
& ( big_p(E)
| big_p(E)
| big_s(D) )
& ( big_q(F)
| big_p(E)
| big_s(D) )
& ( ~ big_r(G)
| big_p(E)
| big_s(D) )
& ( ~ big_q(B)
| big_p(E)
| big_s(D) )
& ( big_p(E)
| big_q(F)
| big_s(D) )
& ( big_q(F)
| big_q(F)
| big_s(D) )
& ( ~ big_r(G)
| big_q(F)
| big_s(D) )
& ( ~ big_q(B)
| big_q(F)
| big_s(D) )
& ( big_p(E)
| ~ big_r(G)
| big_s(D) )
& ( big_q(F)
| ~ big_r(G)
| big_s(D) )
& ( ~ big_r(G)
| ~ big_r(G)
| big_s(D) )
& ( ~ big_q(B)
| ~ big_r(G)
| big_s(D) )
& ( big_p(E)
| ~ big_p(A)
| big_s(D) )
& ( big_q(F)
| ~ big_p(A)
| big_s(D) )
& ( ~ big_r(G)
| ~ big_p(A)
| big_s(D) )
& ( ~ big_q(B)
| ~ big_p(A)
| big_s(D) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050+1.tptp',unknown),
[] ).
cnf(162471680,plain,
( big_q(F)
| big_r(z(A,B)) ),
inference(rewrite,[status(thm)],[pel20]),
[] ).
cnf(162476608,plain,
( big_p(E)
| big_r(z(A,B)) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel20,162471680]),
[] ).
cnf(162425080,plain,
( ~ big_q(B)
| ~ big_p(A)
| big_r(z(A,B)) ),
inference(rewrite,[status(thm)],[pel20]),
[] ).
cnf(162515464,plain,
big_q(F),
inference(rewrite,[status(thm)],[pel20]),
[] ).
cnf(241438176,plain,
big_r(z(A,B)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162476608,162425080,162515464]),
[] ).
cnf(162497832,plain,
~ big_r(G),
inference(rewrite,[status(thm)],[pel20]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[241438176,162497832]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel20,plain,(((big_p(E)|big_p(E)|big_p(E))&(big_q(F)|big_p(E)|big_p(E))&(~big_r(G)|big_p(E)|big_p(E))&(~big_q(B)|big_p(E)|big_p(E))&(big_p(E)|big_q(F)|big_p(E))&(big_q(F)|big_q(F)|big_p(E))&(~big_r(G)|big_q(F)|big_p(E))&(~big_q(B)|big_q(F)|big_p(E))&(big_p(E)|~big_r(G)|big_p(E))&(big_q(F)|~big_r(G)|big_p(E))&(~big_r(G)|~big_r(G)|big_p(E))&(~big_q(B)|~big_r(G)|big_p(E))&(big_p(E)|~big_p(A)|big_p(E))&(big_q(F)|~big_p(A)|big_p(E))&(~big_r(G)|~big_p(A)|big_p(E))&(~big_q(B)|~big_p(A)|big_p(E))&(big_p(E)|big_p(E)|big_q(F))&(big_q(F)|big_p(E)|big_q(F))&(~big_r(G)|big_p(E)|big_q(F))&(~big_q(B)|big_p(E)|big_q(F))&(big_p(E)|big_q(F)|big_q(F))&(big_q(F)|big_q(F)|big_q(F))&(~big_r(G)|big_q(F)|big_q(F))&(~big_q(B)|big_q(F)|big_q(F))&(big_p(E)|~big_r(G)|big_q(F))&(big_q(F)|~big_r(G)|big_q(F))&(~big_r(G)|~big_r(G)|big_q(F))&(~big_q(B)|~big_r(G)|big_q(F))&(big_p(E)|~big_p(A)|big_q(F))&(big_q(F)|~big_p(A)|big_q(F))&(~big_r(G)|~big_p(A)|big_q(F))&(~big_q(B)|~big_p(A)|big_q(F))&(big_p(E)|big_p(E)|~big_r(G))&(big_q(F)|big_p(E)|~big_r(G))&(~big_r(G)|big_p(E)|~big_r(G))&(~big_q(B)|big_p(E)|~big_r(G))&(big_p(E)|big_q(F)|~big_r(G))&(big_q(F)|big_q(F)|~big_r(G))&(~big_r(G)|big_q(F)|~big_r(G))&(~big_q(B)|big_q(F)|~big_r(G))&(big_p(E)|~big_r(G)|~big_r(G))&(big_q(F)|~big_r(G)|~big_r(G))&(~big_r(G)|~big_r(G)|~big_r(G))&(~big_q(B)|~big_r(G)|~big_r(G))&(big_p(E)|~big_p(A)|~big_r(G))&(big_q(F)|~big_p(A)|~big_r(G))&(~big_r(G)|~big_p(A)|~big_r(G))&(~big_q(B)|~big_p(A)|~big_r(G))&(big_p(E)|big_p(E)|big_r(z(A,B)))&(big_q(F)|big_p(E)|big_r(z(A,B)))&(~big_r(G)|big_p(E)|big_r(z(A,B)))&(~big_q(B)|big_p(E)|big_r(z(A,B)))&(big_p(E)|big_q(F)|big_r(z(A,B)))&(big_q(F)|big_q(F)|big_r(z(A,B)))&(~big_r(G)|big_q(F)|big_r(z(A,B)))&(~big_q(B)|big_q(F)|big_r(z(A,B)))&(big_p(E)|~big_r(G)|big_r(z(A,B)))&(big_q(F)|~big_r(G)|big_r(z(A,B)))&(~big_r(G)|~big_r(G)|big_r(z(A,B)))&(~big_q(B)|~big_r(G)|big_r(z(A,B)))&(big_p(E)|~big_p(A)|big_r(z(A,B)))&(big_q(F)|~big_p(A)|big_r(z(A,B)))&(~big_r(G)|~big_p(A)|big_r(z(A,B)))&(~big_q(B)|~big_p(A)|big_r(z(A,B)))&(big_p(E)|big_p(E)|big_s(D))&(big_q(F)|big_p(E)|big_s(D))&(~big_r(G)|big_p(E)|big_s(D))&(~big_q(B)|big_p(E)|big_s(D))&(big_p(E)|big_q(F)|big_s(D))&(big_q(F)|big_q(F)|big_s(D))&(~big_r(G)|big_q(F)|big_s(D))&(~big_q(B)|big_q(F)|big_s(D))&(big_p(E)|~big_r(G)|big_s(D))&(big_q(F)|~big_r(G)|big_s(D))&(~big_r(G)|~big_r(G)|big_s(D))&(~big_q(B)|~big_r(G)|big_s(D))&(big_p(E)|~big_p(A)|big_s(D))&(big_q(F)|~big_p(A)|big_s(D))&(~big_r(G)|~big_p(A)|big_s(D))&(~big_q(B)|~big_p(A)|big_s(D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN050+1.tptp',unknown),[]).
%
% cnf(162471680,plain,(big_q(F)|big_r(z(A,B))),inference(rewrite,[status(thm)],[pel20]),[]).
%
% cnf(162476608,plain,(big_p(E)|big_r(z(A,B))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel20,162471680]),[]).
%
% cnf(162425080,plain,(~big_q(B)|~big_p(A)|big_r(z(A,B))),inference(rewrite,[status(thm)],[pel20]),[]).
%
% cnf(162515464,plain,(big_q(F)),inference(rewrite,[status(thm)],[pel20]),[]).
%
% cnf(241438176,plain,(big_r(z(A,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[162476608,162425080,162515464]),[]).
%
% cnf(162497832,plain,(~big_r(G)),inference(rewrite,[status(thm)],[pel20]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[241438176,162497832]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------