TSTP Solution File: SYN203-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN203-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 17:15:57 EDT 2009
% Result : Unsatisfiable 55.0s
% Output : Refutation 55.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 82 ( 42 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 62 ( 17 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(174407512,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(172983424,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(187573032,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[174407512,172983424]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(174395368,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/SYN203-1.tptp',unknown),
[] ).
cnf(172968136,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(187271600,plain,
s1(b),
inference(resolution,[status(thm)],[174395368,172968136]),
[] ).
cnf(187581608,plain,
s1(A),
inference(resolution,[status(thm)],[187573032,187271600]),
[] ).
fof(rule_133,plain,
! [A,B,C,D] :
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(174516456,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(187372216,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[174516456,172968136]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(172990904,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(198019216,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[187581608,187372216,172990904]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(173088400,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(172927824,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(186870824,plain,
k1(b),
inference(resolution,[status(thm)],[173088400,172927824]),
[] ).
fof(rule_183,plain,
! [A,B] :
( q2(A,c,B)
| ~ k1(B)
| ~ l0(c)
| ~ l2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(173013488,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(175196808,plain,
( q2(A,c,B)
| ~ k1(B)
| ~ l2(B,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,173013488]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(175289728,plain,
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
inference(rewrite,[status(thm)],[rule_189]),
[] ).
cnf(187474216,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[175289728,187271600]),
[] ).
cnf(194746568,plain,
( ~ l2(b,b)
| s2(c) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186870824,175196808,187474216]),
[] ).
cnf(198342336,plain,
s2(c),
inference(resolution,[status(thm)],[198019216,194746568]),
[] ).
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/SYN203-1.tptp',unknown),
[] ).
cnf(176461872,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
inference(rewrite,[status(thm)],[rule_273]),
[] ).
cnf(926336952,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[176461872,172990904]),
[] ).
fof(rule_184,plain,
! [A,B] :
( q2(A,A,A)
| ~ q1(B,c,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(175215688,plain,
( q2(A,A,A)
| ~ q1(B,c,A) ),
inference(rewrite,[status(thm)],[rule_184]),
[] ).
fof(rule_107,plain,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(174248672,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,172990904]),
[] ).
cnf(189113496,plain,
q2(c,c,c),
inference(resolution,[status(thm)],[175215688,174248672]),
[] ).
cnf(927743448,plain,
s3(c,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[198342336,926336952,189113496]),
[] ).
fof(prove_this,plain,
! [A] : ~ s3(A,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),
[] ).
cnf(177265024,plain,
~ s3(A,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[927743448,177265024]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 53 seconds
% START OF PROOF SEQUENCE
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(174407512,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(172983424,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(187573032,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[174407512,172983424]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(174395368,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/SYN203-1.tptp',unknown),[]).
%
% cnf(172968136,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(187271600,plain,(s1(b)),inference(resolution,[status(thm)],[174395368,172968136]),[]).
%
% cnf(187581608,plain,(s1(A)),inference(resolution,[status(thm)],[187573032,187271600]),[]).
%
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(174516456,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(187372216,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[174516456,172968136]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(172990904,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(198019216,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[187581608,187372216,172990904]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(173088400,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(172927824,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(186870824,plain,(k1(b)),inference(resolution,[status(thm)],[173088400,172927824]),[]).
%
% fof(rule_183,plain,(q2(A,c,B)|~k1(B)|~l0(c)|~l2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(173013488,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(175196808,plain,(q2(A,c,B)|~k1(B)|~l2(B,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,173013488]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(175289728,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
%
% cnf(187474216,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[175289728,187271600]),[]).
%
% cnf(194746568,plain,(~l2(b,b)|s2(c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186870824,175196808,187474216]),[]).
%
% cnf(198342336,plain,(s2(c)),inference(resolution,[status(thm)],[198019216,194746568]),[]).
%
% 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/SYN203-1.tptp',unknown),[]).
%
% cnf(176461872,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),inference(rewrite,[status(thm)],[rule_273]),[]).
%
% cnf(926336952,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[176461872,172990904]),[]).
%
% fof(rule_184,plain,(q2(A,A,A)|~q1(B,c,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(175215688,plain,(q2(A,A,A)|~q1(B,c,A)),inference(rewrite,[status(thm)],[rule_184]),[]).
%
% fof(rule_107,plain,(q1(e,A,A)|~m0(A,d,A)|~m0(e,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(174248672,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,172990904]),[]).
%
% cnf(189113496,plain,(q2(c,c,c)),inference(resolution,[status(thm)],[175215688,174248672]),[]).
%
% cnf(927743448,plain,(s3(c,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[198342336,926336952,189113496]),[]).
%
% fof(prove_this,plain,(~s3(A,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN203-1.tptp',unknown),[]).
%
% cnf(177265024,plain,(~s3(A,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[927743448,177265024]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------