%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU247+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 15:53:38 EDT 2009

% Result   : Theorem 7.8s
% Output   : Refutation 7.8s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   6   ~;   4   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t18_wellord1,plain,
    ( relation(b)
    & ~ $equal(relation_rng_restriction(a,relation_dom_restriction(b,a)),relation_restriction(b,a)) ),
    file('/tmp/SystemOnTPTP6893/SEU247+1.p',unknown),
    [] ).

cnf(149251288,plain,
    relation(b),
    inference(rewrite,[status(thm)],[t18_wellord1]),
    [] ).

fof(t140_relat_1,plain,
    ! [C,A,B] :
      ( ~ relation(C)
      | $equal(relation_rng_restriction(A,relation_dom_restriction(C,B)),relation_dom_restriction(relation_rng_restriction(A,C),B)) ),
    file('/tmp/SystemOnTPTP6893/SEU247+1.p',unknown),
    [] ).

cnf(149172880,plain,
    ( ~ relation(C)
    | $equal(relation_rng_restriction(A,relation_dom_restriction(C,B)),relation_dom_restriction(relation_rng_restriction(A,C),B)) ),
    inference(rewrite,[status(thm)],[t140_relat_1]),
    [] ).

fof(t17_wellord1,plain,
    ! [B,A] :
      ( ~ relation(B)
      | $equal(relation_dom_restriction(relation_rng_restriction(A,B),A),relation_restriction(B,A)) ),
    file('/tmp/SystemOnTPTP6893/SEU247+1.p',unknown),
    [] ).

cnf(149176872,plain,
    ( ~ relation(B)
    | $equal(relation_dom_restriction(relation_rng_restriction(A,B),A),relation_restriction(B,A)) ),
    inference(rewrite,[status(thm)],[t17_wellord1]),
    [] ).

cnf(159743504,plain,
    $equal(relation_dom_restriction(relation_rng_restriction(A,b),A),relation_restriction(b,A)),
    inference(resolution,[status(thm)],[149176872,149251288]),
    [] ).

cnf(185060440,plain,
    $equal(relation_rng_restriction(A,relation_dom_restriction(b,A)),relation_restriction(b,A)),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[149251288,149172880,159743504,theory(equality)]),
    [] ).

cnf(149242248,plain,
    ~ $equal(relation_rng_restriction(a,relation_dom_restriction(b,a)),relation_restriction(b,a)),
    inference(rewrite,[status(thm)],[t18_wellord1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[185060440,149242248]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 7 seconds
% START OF PROOF SEQUENCE
% fof(t18_wellord1,plain,((relation(b)&~$equal(relation_rng_restriction(a,relation_dom_restriction(b,a)),relation_restriction(b,a)))),file('/tmp/SystemOnTPTP6893/SEU247+1.p',unknown),[]).
% 
% cnf(149251288,plain,(relation(b)),inference(rewrite,[status(thm)],[t18_wellord1]),[]).
% 
% fof(t140_relat_1,plain,(~relation(C)|$equal(relation_rng_restriction(A,relation_dom_restriction(C,B)),relation_dom_restriction(relation_rng_restriction(A,C),B))),file('/tmp/SystemOnTPTP6893/SEU247+1.p',unknown),[]).
% 
% cnf(149172880,plain,(~relation(C)|$equal(relation_rng_restriction(A,relation_dom_restriction(C,B)),relation_dom_restriction(relation_rng_restriction(A,C),B))),inference(rewrite,[status(thm)],[t140_relat_1]),[]).
% 
% fof(t17_wellord1,plain,(~relation(B)|$equal(relation_dom_restriction(relation_rng_restriction(A,B),A),relation_restriction(B,A))),file('/tmp/SystemOnTPTP6893/SEU247+1.p',unknown),[]).
% 
% cnf(149176872,plain,(~relation(B)|$equal(relation_dom_restriction(relation_rng_restriction(A,B),A),relation_restriction(B,A))),inference(rewrite,[status(thm)],[t17_wellord1]),[]).
% 
% cnf(159743504,plain,($equal(relation_dom_restriction(relation_rng_restriction(A,b),A),relation_restriction(b,A))),inference(resolution,[status(thm)],[149176872,149251288]),[]).
% 
% cnf(185060440,plain,($equal(relation_rng_restriction(A,relation_dom_restriction(b,A)),relation_restriction(b,A))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[149251288,149172880,159743504,theory(equality)]),[]).
% 
% cnf(149242248,plain,(~$equal(relation_rng_restriction(a,relation_dom_restriction(b,a)),relation_restriction(b,a))),inference(rewrite,[status(thm)],[t18_wellord1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[185060440,149242248]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------