TSTP Solution File: SWC328-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC328-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:15:37 EDT 2009

% Result   : Unsatisfiable 10.0s
% Output   : Refutation 10.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (  21 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause73,plain,
    ! [A] :
      ( ~ sslist(A)
      | $equal(app(A,nil),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(172242672,plain,
    ( ~ sslist(A)
    | $equal(app(A,nil),A) ),
    inference(rewrite,[status(thm)],[clause73]),
    [] ).

fof(clause8,plain,
    sslist(nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(171752832,plain,
    sslist(nil),
    inference(rewrite,[status(thm)],[clause8]),
    [] ).

cnf(201766880,plain,
    $equal(app(nil,nil),nil),
    inference(resolution,[status(thm)],[172242672,171752832]),
    [] ).

fof(clause1,plain,
    equalelemsp(nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(171678400,plain,
    equalelemsp(nil),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

cnf(231827736,plain,
    equalelemsp(app(nil,nil)),
    inference(paramodulation,[status(thm)],[201766880,171678400,theory(equality)]),
    [] ).

fof(co1_5,plain,
    $equal(sk3,nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(173965896,plain,
    $equal(sk3,nil),
    inference(rewrite,[status(thm)],[co1_5]),
    [] ).

cnf(388447064,plain,
    equalelemsp(app(sk3,nil)),
    inference(paramodulation,[status(thm)],[231827736,173965896,theory(equality)]),
    [] ).

fof(co1_3,plain,
    sslist(sk3),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(173950768,plain,
    sslist(sk3),
    inference(rewrite,[status(thm)],[co1_3]),
    [] ).

cnf(215585152,plain,
    $equal(app(sk3,nil),sk3),
    inference(resolution,[status(thm)],[172242672,173950768]),
    [] ).

fof(co1_2,plain,
    sslist(sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(173941512,plain,
    sslist(sk2),
    inference(rewrite,[status(thm)],[co1_2]),
    [] ).

fof(clause56,plain,
    ! [A] :
      ( ~ sslist(A)
      | segmentp(A,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(172065272,plain,
    ( ~ sslist(A)
    | segmentp(A,nil) ),
    inference(rewrite,[status(thm)],[clause56]),
    [] ).

cnf(209422672,plain,
    segmentp(sk2,nil),
    inference(resolution,[status(thm)],[173941512,172065272]),
    [] ).

cnf(227294448,plain,
    segmentp(sk2,sk3),
    inference(paramodulation,[status(thm)],[209422672,173965896,theory(equality)]),
    [] ).

fof(co1_8,plain,
    ( ~ segmentp(sk2,sk1)
    | ~ equalelemsp(sk1) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(173992088,plain,
    ( ~ segmentp(sk2,sk1)
    | ~ equalelemsp(sk1) ),
    inference(rewrite,[status(thm)],[co1_8]),
    [] ).

fof(co1_7,plain,
    $equal(sk3,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
    [] ).

cnf(173981128,plain,
    $equal(sk3,sk1),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

cnf(231063232,plain,
    ~ equalelemsp(sk1),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[227294448,173992088,173981128,theory(equality)]),
    [] ).

cnf(231112680,plain,
    ~ equalelemsp(sk3),
    inference(paramodulation,[status(thm)],[231063232,173981128,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[388447064,215585152,231112680,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 10 seconds
% START OF PROOF SEQUENCE
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(172242672,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
% 
% fof(clause8,plain,(sslist(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(171752832,plain,(sslist(nil)),inference(rewrite,[status(thm)],[clause8]),[]).
% 
% cnf(201766880,plain,($equal(app(nil,nil),nil)),inference(resolution,[status(thm)],[172242672,171752832]),[]).
% 
% fof(clause1,plain,(equalelemsp(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(171678400,plain,(equalelemsp(nil)),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% cnf(231827736,plain,(equalelemsp(app(nil,nil))),inference(paramodulation,[status(thm)],[201766880,171678400,theory(equality)]),[]).
% 
% fof(co1_5,plain,($equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(173965896,plain,($equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_5]),[]).
% 
% cnf(388447064,plain,(equalelemsp(app(sk3,nil))),inference(paramodulation,[status(thm)],[231827736,173965896,theory(equality)]),[]).
% 
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(173950768,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
% 
% cnf(215585152,plain,($equal(app(sk3,nil),sk3)),inference(resolution,[status(thm)],[172242672,173950768]),[]).
% 
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(173941512,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
% 
% fof(clause56,plain,(~sslist(A)|segmentp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(172065272,plain,(~sslist(A)|segmentp(A,nil)),inference(rewrite,[status(thm)],[clause56]),[]).
% 
% cnf(209422672,plain,(segmentp(sk2,nil)),inference(resolution,[status(thm)],[173941512,172065272]),[]).
% 
% cnf(227294448,plain,(segmentp(sk2,sk3)),inference(paramodulation,[status(thm)],[209422672,173965896,theory(equality)]),[]).
% 
% fof(co1_8,plain,(~segmentp(sk2,sk1)|~equalelemsp(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(173992088,plain,(~segmentp(sk2,sk1)|~equalelemsp(sk1)),inference(rewrite,[status(thm)],[co1_8]),[]).
% 
% fof(co1_7,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
% 
% cnf(173981128,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% cnf(231063232,plain,(~equalelemsp(sk1)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[227294448,173992088,173981128,theory(equality)]),[]).
% 
% cnf(231112680,plain,(~equalelemsp(sk3)),inference(paramodulation,[status(thm)],[231063232,173981128,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[388447064,215585152,231112680,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------