%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN176-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:07:41 EDT 2009
% Result : Unsatisfiable 0.7s
% Output : Refutation 0.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 18 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 13 sgn 17 !; 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/SYN176-1.tptp',unknown),
[] ).
cnf(162930544,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/SYN176-1.tptp',unknown),
[] ).
cnf(161506456,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(175718848,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[162930544,161506456]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),
[] ).
cnf(162918400,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/SYN176-1.tptp',unknown),
[] ).
cnf(161491168,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(175406192,plain,
s1(b),
inference(resolution,[status(thm)],[162918400,161491168]),
[] ).
cnf(175723336,plain,
s1(A),
inference(resolution,[status(thm)],[175718848,175406192]),
[] ).
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/SYN176-1.tptp',unknown),
[] ).
cnf(163039488,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(175513048,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[163039488,161491168]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),
[] ).
cnf(161513936,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(186818376,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[175723336,175513048,161513936]),
[] ).
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/SYN176-1.tptp',unknown),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),
[] ).
cnf(161536520,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(163719840,plain,
( q2(A,c,B)
| ~ k1(B)
| ~ l2(B,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,161536520]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),
[] ).
cnf(161611432,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),
[] ).
cnf(161421592,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(174828032,plain,
k1(e),
inference(resolution,[status(thm)],[161611432,161421592]),
[] ).
cnf(175030784,plain,
( q2(A,c,e)
| ~ l2(e,A) ),
inference(resolution,[status(thm)],[163719840,174828032]),
[] ).
fof(prove_this,plain,
! [A] : ~ q2(e,c,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),
[] ).
cnf(165787568,plain,
~ q2(e,c,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(183472032,plain,
~ l2(e,e),
inference(resolution,[status(thm)],[175030784,165787568]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[186818376,183472032]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 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/SYN176-1.tptp',unknown),[]).
%
% cnf(162930544,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/SYN176-1.tptp',unknown),[]).
%
% cnf(161506456,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(175718848,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[162930544,161506456]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),[]).
%
% cnf(162918400,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/SYN176-1.tptp',unknown),[]).
%
% cnf(161491168,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(175406192,plain,(s1(b)),inference(resolution,[status(thm)],[162918400,161491168]),[]).
%
% cnf(175723336,plain,(s1(A)),inference(resolution,[status(thm)],[175718848,175406192]),[]).
%
% 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/SYN176-1.tptp',unknown),[]).
%
% cnf(163039488,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(175513048,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[163039488,161491168]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),[]).
%
% cnf(161513936,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(186818376,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[175723336,175513048,161513936]),[]).
%
% fof(rule_183,plain,(q2(A,c,B)|~k1(B)|~l0(c)|~l2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),[]).
%
% cnf(161536520,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(163719840,plain,(q2(A,c,B)|~k1(B)|~l2(B,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,161536520]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),[]).
%
% cnf(161611432,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),[]).
%
% cnf(161421592,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(174828032,plain,(k1(e)),inference(resolution,[status(thm)],[161611432,161421592]),[]).
%
% cnf(175030784,plain,(q2(A,c,e)|~l2(e,A)),inference(resolution,[status(thm)],[163719840,174828032]),[]).
%
% fof(prove_this,plain,(~q2(e,c,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN176-1.tptp',unknown),[]).
%
% cnf(165787568,plain,(~q2(e,c,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(183472032,plain,(~l2(e,e)),inference(resolution,[status(thm)],[175030784,165787568]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[186818376,183472032]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------