%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN206-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:17:01 EDT 2009
% Result : Unsatisfiable 53.0s
% Output : Refutation 53.0s
% 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 : 31 ( 7 sgn 13 !; 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/SYN206-1.tptp',unknown),
[] ).
cnf(174917344,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/SYN206-1.tptp',unknown),
[] ).
cnf(177161864,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/SYN206-1.tptp',unknown),
[] ).
cnf(175095488,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/SYN206-1.tptp',unknown),
[] ).
cnf(175797680,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/SYN206-1.tptp',unknown),
[] ).
cnf(174960104,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(187706032,plain,
n1(b,b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[175095488,175797680,174960104]),
[] ).
cnf(191050720,plain,
q2(b,b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[174917344,177161864,187706032]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN206-1.tptp',unknown),
[] ).
cnf(177329496,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/SYN206-1.tptp',unknown),
[] ).
cnf(176435136,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/SYN206-1.tptp',unknown),
[] ).
cnf(175007904,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(189031184,plain,
s1(b),
inference(resolution,[status(thm)],[176435136,175007904]),
[] ).
cnf(189264984,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[177329496,189031184]),
[] ).
cnf(192380528,plain,
s2(b),
inference(resolution,[status(thm)],[191050720,189264984]),
[] ).
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/SYN206-1.tptp',unknown),
[] ).
cnf(178501640,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/SYN206-1.tptp',unknown),
[] ).
cnf(175030672,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(852317520,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[178501640,175030672]),
[] ).
cnf(860702592,plain,
s3(b,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192380528,852317520,191050720]),
[] ).
fof(prove_this,plain,
~ s3(b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN206-1.tptp',unknown),
[] ).
cnf(179304792,plain,
~ s3(b,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[860702592,179304792]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 50 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(q0(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN206-1.tptp',unknown),[]).
%
% cnf(174917344,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/SYN206-1.tptp',unknown),[]).
%
% cnf(177161864,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/SYN206-1.tptp',unknown),[]).
%
% cnf(175095488,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/SYN206-1.tptp',unknown),[]).
%
% cnf(175797680,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/SYN206-1.tptp',unknown),[]).
%
% cnf(174960104,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(187706032,plain,(n1(b,b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[175095488,175797680,174960104]),[]).
%
% cnf(191050720,plain,(q2(b,b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[174917344,177161864,187706032]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN206-1.tptp',unknown),[]).
%
% cnf(177329496,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/SYN206-1.tptp',unknown),[]).
%
% cnf(176435136,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/SYN206-1.tptp',unknown),[]).
%
% cnf(175007904,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(189031184,plain,(s1(b)),inference(resolution,[status(thm)],[176435136,175007904]),[]).
%
% cnf(189264984,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[177329496,189031184]),[]).
%
% cnf(192380528,plain,(s2(b)),inference(resolution,[status(thm)],[191050720,189264984]),[]).
%
% 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/SYN206-1.tptp',unknown),[]).
%
% cnf(178501640,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/SYN206-1.tptp',unknown),[]).
%
% cnf(175030672,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(852317520,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[178501640,175030672]),[]).
%
% cnf(860702592,plain,(s3(b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[192380528,852317520,191050720]),[]).
%
% fof(prove_this,plain,(~s3(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN206-1.tptp',unknown),[]).
%
% cnf(179304792,plain,(~s3(b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[860702592,179304792]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------