%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN113-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 16:47:50 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 7 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ k2(e,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),
[] ).
cnf(175875760,plain,
~ k2(e,d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),
[] ).
cnf(171674592,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),
[] ).
cnf(171699816,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(188632584,plain,
k1(d),
inference(resolution,[status(thm)],[171674592,171699816]),
[] ).
fof(rule_127,plain,
! [A,B,C,D] :
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),
[] ).
cnf(173034424,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_005,plain,
! [A,B] :
( m1(A,B,A)
| ~ m0(B,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),
[] ).
cnf(171764800,plain,
( m1(A,B,A)
| ~ m0(B,B,A) ),
inference(rewrite,[status(thm)],[rule_005]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),
[] ).
cnf(171602320,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(187065256,plain,
m1(A,d,A),
inference(resolution,[status(thm)],[171764800,171602320]),
[] ).
cnf(188467824,plain,
( k2(A,d)
| ~ k1(B)
| ~ k2(B,d) ),
inference(resolution,[status(thm)],[173034424,187065256]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),
[] ).
cnf(173070752,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
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/SYN113-1.tptp',unknown),
[] ).
cnf(172860088,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,171602320]),
[] ).
cnf(187935040,plain,
k2(A,A),
inference(resolution,[status(thm)],[173070752,172860088]),
[] ).
cnf(189085056,plain,
k2(A,d),
inference(forward_subsumption_resolution__resolution,[status(thm)],[188632584,188467824,187935040]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[175875760,189085056]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~k2(e,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),[]).
%
% cnf(175875760,plain,(~k2(e,d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),[]).
%
% cnf(171674592,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),[]).
%
% cnf(171699816,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(188632584,plain,(k1(d)),inference(resolution,[status(thm)],[171674592,171699816]),[]).
%
% fof(rule_127,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),[]).
%
% cnf(173034424,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_005,plain,(m1(A,B,A)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),[]).
%
% cnf(171764800,plain,(m1(A,B,A)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_005]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),[]).
%
% cnf(171602320,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(187065256,plain,(m1(A,d,A)),inference(resolution,[status(thm)],[171764800,171602320]),[]).
%
% cnf(188467824,plain,(k2(A,d)|~k1(B)|~k2(B,d)),inference(resolution,[status(thm)],[173034424,187065256]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN113-1.tptp',unknown),[]).
%
% cnf(173070752,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% 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/SYN113-1.tptp',unknown),[]).
%
% cnf(172860088,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,171602320]),[]).
%
% cnf(187935040,plain,(k2(A,A)),inference(resolution,[status(thm)],[173070752,172860088]),[]).
%
% cnf(189085056,plain,(k2(A,d)),inference(forward_subsumption_resolution__resolution,[status(thm)],[188632584,188467824,187935040]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[175875760,189085056]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------