TSTP Solution File: SYN299-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN299-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 17:48:16 EDT 2009
% Result : Unsatisfiable 50.0s
% Output : Refutation 50.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 6 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_181,plain,
! [A] :
( q2(A,A,A)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(161553856,plain,
( q2(A,A,A)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_181]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(160422832,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(159361184,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(173316520,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[160422832,159361184]),
[] ).
cnf(175834880,plain,
q2(A,A,A),
inference(resolution,[status(thm)],[161553856,173316520]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(161682776,plain,
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
inference(rewrite,[status(thm)],[rule_189]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(160788416,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
cnf(173296744,plain,
s1(b),
inference(resolution,[status(thm)],[160788416,159361184]),
[] ).
cnf(173568176,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[161682776,173296744]),
[] ).
cnf(176471896,plain,
s2(b),
inference(resolution,[status(thm)],[175834880,173568176]),
[] ).
fof(rule_273,plain,
! [A,B,C,D] :
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(162854920,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
inference(rewrite,[status(thm)],[rule_273]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(159383952,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(820435616,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[162854920,159383952]),
[] ).
fof(prove_this,plain,
~ s3(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),
[] ).
cnf(163658072,plain,
~ s3(b,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(822301224,plain,
~ q2(A,b,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176471896,820435616,163658072]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[822301224,175834880]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 48 seconds
% START OF PROOF SEQUENCE
% fof(rule_181,plain,(q2(A,A,A)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(161553856,plain,(q2(A,A,A)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_181]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(160422832,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(159361184,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(173316520,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[160422832,159361184]),[]).
%
% cnf(175834880,plain,(q2(A,A,A)),inference(resolution,[status(thm)],[161553856,173316520]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(161682776,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(160788416,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% cnf(173296744,plain,(s1(b)),inference(resolution,[status(thm)],[160788416,159361184]),[]).
%
% cnf(173568176,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[161682776,173296744]),[]).
%
% cnf(176471896,plain,(s2(b)),inference(resolution,[status(thm)],[175834880,173568176]),[]).
%
% fof(rule_273,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(162854920,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),inference(rewrite,[status(thm)],[rule_273]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(159383952,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(820435616,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[162854920,159383952]),[]).
%
% fof(prove_this,plain,(~s3(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN299-1.tptp',unknown),[]).
%
% cnf(163658072,plain,(~s3(b,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(822301224,plain,(~q2(A,b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[176471896,820435616,163658072]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[822301224,175834880]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------