TSTP Solution File: SYN298-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN298-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:48:13 EDT 2009
% Result : Unsatisfiable 54.8s
% Output : Refutation 54.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 33 ( 8 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_6,plain,
q0(b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(169142024,plain,
q0(b,b),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(rule_178,plain,
! [A,B,C] :
( q2(A,A,A)
| ~ q0(B,A)
| ~ n1(B,A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(171386544,plain,
( q2(A,A,A)
| ~ q0(B,A)
| ~ n1(B,A,C) ),
inference(rewrite,[status(thm)],[rule_178]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(169320168,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
fof(rule_061,plain,
! [A] :
( n1(A,A,A)
| ~ k0(A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(170022360,plain,
( n1(A,A,A)
| ~ k0(A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_061]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(169184784,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(181930728,plain,
n1(b,b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169320168,170022360,169184784]),
[] ).
cnf(185486064,plain,
q2(b,b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169142024,171386544,181930728]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(171554176,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/SYN298-1.tptp',unknown),
[] ).
cnf(170659816,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(169232584,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(183252344,plain,
s1(b),
inference(resolution,[status(thm)],[170659816,169232584]),
[] ).
cnf(183491056,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[171554176,183252344]),
[] ).
cnf(185957904,plain,
s2(b),
inference(resolution,[status(thm)],[185486064,183491056]),
[] ).
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/SYN298-1.tptp',unknown),
[] ).
cnf(172726320,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/SYN298-1.tptp',unknown),
[] ).
cnf(169255352,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(879559168,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[172726320,169255352]),
[] ).
cnf(881072416,plain,
s3(b,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185957904,879559168,185486064]),
[] ).
fof(prove_this,plain,
! [A] : ~ s3(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),
[] ).
cnf(173529472,plain,
~ s3(b,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[881072416,173529472]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 53 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(q0(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(169142024,plain,(q0(b,b)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(rule_178,plain,(q2(A,A,A)|~q0(B,A)|~n1(B,A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(171386544,plain,(q2(A,A,A)|~q0(B,A)|~n1(B,A,C)),inference(rewrite,[status(thm)],[rule_178]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(169320168,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% fof(rule_061,plain,(n1(A,A,A)|~k0(A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(170022360,plain,(n1(A,A,A)|~k0(A)|~s0(A)),inference(rewrite,[status(thm)],[rule_061]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(169184784,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(181930728,plain,(n1(b,b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169320168,170022360,169184784]),[]).
%
% cnf(185486064,plain,(q2(b,b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169142024,171386544,181930728]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(171554176,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/SYN298-1.tptp',unknown),[]).
%
% cnf(170659816,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(169232584,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(183252344,plain,(s1(b)),inference(resolution,[status(thm)],[170659816,169232584]),[]).
%
% cnf(183491056,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[171554176,183252344]),[]).
%
% cnf(185957904,plain,(s2(b)),inference(resolution,[status(thm)],[185486064,183491056]),[]).
%
% 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/SYN298-1.tptp',unknown),[]).
%
% cnf(172726320,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/SYN298-1.tptp',unknown),[]).
%
% cnf(169255352,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(879559168,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[172726320,169255352]),[]).
%
% cnf(881072416,plain,(s3(b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[185957904,879559168,185486064]),[]).
%
% fof(prove_this,plain,(~s3(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN298-1.tptp',unknown),[]).
%
% cnf(173529472,plain,(~s3(b,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[881072416,173529472]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------