TSTP Solution File: SWC385-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC385-1 : TPTP v3.4.2. Released v2.4.0.
% 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 16:18:13 EDT 2009

% Result   : Unsatisfiable 1.5s
% Output   : Refutation 1.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (  26 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_8,plain,
    segmentp(sk4,sk3),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(170929104,plain,
    segmentp(sk4,sk3),
    inference(rewrite,[status(thm)],[co1_8]),
    [] ).

fof(clause73,plain,
    ! [A] :
      ( ~ sslist(A)
      | $equal(app(A,nil),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(169178728,plain,
    ( ~ sslist(A)
    | $equal(app(A,nil),A) ),
    inference(rewrite,[status(thm)],[clause73]),
    [] ).

fof(co1_2,plain,
    sslist(sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(170877576,plain,
    sslist(sk2),
    inference(rewrite,[status(thm)],[co1_2]),
    [] ).

cnf(232848168,plain,
    $equal(app(sk2,nil),sk2),
    inference(resolution,[status(thm)],[169178728,170877576]),
    [] ).

fof(co1_7,plain,
    neq(sk2,nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(170917960,plain,
    neq(sk2,nil),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

cnf(237824648,plain,
    neq(app(sk2,nil),nil),
    inference(paramodulation,[status(thm)],[232848168,170917960,theory(equality)]),
    [] ).

fof(co1_5,plain,
    $equal(sk4,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(170901960,plain,
    $equal(sk4,sk2),
    inference(rewrite,[status(thm)],[co1_5]),
    [] ).

cnf(237798464,plain,
    $equal(sk4,app(sk2,nil)),
    inference(paramodulation,[status(thm)],[232848168,170901960,theory(equality)]),
    [] ).

fof(co1_9,plain,
    ( singletonp(sk3)
    | ~ neq(sk4,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(170941792,plain,
    ( singletonp(sk3)
    | ~ neq(sk4,nil) ),
    inference(rewrite,[status(thm)],[co1_9]),
    [] ).

cnf(241864776,plain,
    singletonp(sk3),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237824648,237798464,170941792,theory(equality)]),
    [] ).

fof(co1_3,plain,
    sslist(sk3),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(170886832,plain,
    sslist(sk3),
    inference(rewrite,[status(thm)],[co1_3]),
    [] ).

cnf(232861464,plain,
    $equal(app(sk3,nil),sk3),
    inference(resolution,[status(thm)],[169178728,170886832]),
    [] ).

cnf(242064760,plain,
    singletonp(app(sk3,nil)),
    inference(paramodulation,[status(thm)],[241864776,232861464,theory(equality)]),
    [] ).

fof(co1_1,plain,
    sslist(sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(170872552,plain,
    sslist(sk1),
    inference(rewrite,[status(thm)],[co1_1]),
    [] ).

cnf(232838944,plain,
    $equal(app(sk1,nil),sk1),
    inference(resolution,[status(thm)],[169178728,170872552]),
    [] ).

fof(co1_6,plain,
    $equal(sk3,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(168603712,plain,
    $equal(sk3,sk1),
    inference(rewrite,[status(thm)],[co1_6]),
    [] ).

cnf(237062704,plain,
    $equal(app(sk3,nil),sk1),
    inference(paramodulation,[status(thm)],[232838944,168603712,theory(equality)]),
    [] ).

cnf(242119952,plain,
    singletonp(sk1),
    inference(paramodulation,[status(thm)],[242064760,237062704,theory(equality)]),
    [] ).

fof(co1_10,plain,
    ( ~ singletonp(sk1)
    | ~ segmentp(sk2,sk1) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
    [] ).

cnf(168603256,plain,
    ( ~ singletonp(sk1)
    | ~ segmentp(sk2,sk1) ),
    inference(rewrite,[status(thm)],[co1_10]),
    [] ).

cnf(242134880,plain,
    ~ segmentp(sk2,sk1),
    inference(resolution,[status(thm)],[242119952,168603256]),
    [] ).

cnf(242247608,plain,
    ~ segmentp(sk4,sk1),
    inference(paramodulation,[status(thm)],[242134880,170901960,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170929104,242247608,168603712,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(co1_8,plain,(segmentp(sk4,sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(170929104,plain,(segmentp(sk4,sk3)),inference(rewrite,[status(thm)],[co1_8]),[]).
% 
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(169178728,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
% 
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(170877576,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
% 
% cnf(232848168,plain,($equal(app(sk2,nil),sk2)),inference(resolution,[status(thm)],[169178728,170877576]),[]).
% 
% fof(co1_7,plain,(neq(sk2,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(170917960,plain,(neq(sk2,nil)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% cnf(237824648,plain,(neq(app(sk2,nil),nil)),inference(paramodulation,[status(thm)],[232848168,170917960,theory(equality)]),[]).
% 
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(170901960,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
% 
% cnf(237798464,plain,($equal(sk4,app(sk2,nil))),inference(paramodulation,[status(thm)],[232848168,170901960,theory(equality)]),[]).
% 
% fof(co1_9,plain,(singletonp(sk3)|~neq(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(170941792,plain,(singletonp(sk3)|~neq(sk4,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
% 
% cnf(241864776,plain,(singletonp(sk3)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237824648,237798464,170941792,theory(equality)]),[]).
% 
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(170886832,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
% 
% cnf(232861464,plain,($equal(app(sk3,nil),sk3)),inference(resolution,[status(thm)],[169178728,170886832]),[]).
% 
% cnf(242064760,plain,(singletonp(app(sk3,nil))),inference(paramodulation,[status(thm)],[241864776,232861464,theory(equality)]),[]).
% 
% fof(co1_1,plain,(sslist(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(170872552,plain,(sslist(sk1)),inference(rewrite,[status(thm)],[co1_1]),[]).
% 
% cnf(232838944,plain,($equal(app(sk1,nil),sk1)),inference(resolution,[status(thm)],[169178728,170872552]),[]).
% 
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(168603712,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
% 
% cnf(237062704,plain,($equal(app(sk3,nil),sk1)),inference(paramodulation,[status(thm)],[232838944,168603712,theory(equality)]),[]).
% 
% cnf(242119952,plain,(singletonp(sk1)),inference(paramodulation,[status(thm)],[242064760,237062704,theory(equality)]),[]).
% 
% fof(co1_10,plain,(~singletonp(sk1)|~segmentp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
% 
% cnf(168603256,plain,(~singletonp(sk1)|~segmentp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_10]),[]).
% 
% cnf(242134880,plain,(~segmentp(sk2,sk1)),inference(resolution,[status(thm)],[242119952,168603256]),[]).
% 
% cnf(242247608,plain,(~segmentp(sk4,sk1)),inference(paramodulation,[status(thm)],[242134880,170901960,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170929104,242247608,168603712,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------