TSTP Solution File: SWC038+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC038+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 16:05:37 EDT 2009

% Result   : Theorem 21.7s
% Output   : Refutation 21.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   38 (  20 unt;   0 def)
%            Number of atoms       :  279 (   0 equ)
%            Maximal formula atoms :  200 (   7 avg)
%            Number of connectives :  304 (  63   ~; 142   |;  99   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   24 (   0 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1,plain,
    ( ( sslist(u)
      | $equal(x,nil) )
    & ( neq(w,nil)
      | $equal(x,nil) )
    & ( frontsegp(x,w)
      | $equal(x,nil) )
    & ( ~ $equal(u,nil)
      | $equal(x,nil) )
    & ( $equal(w,u)
      | $equal(x,nil) )
    & ( $equal(x,v)
      | $equal(x,nil) )
    & ( $equal(v,nil)
      | $equal(x,nil) )
    & ( sslist(x)
      | $equal(x,nil) )
    & ( sslist(w)
      | $equal(x,nil) )
    & ( sslist(v)
      | $equal(x,nil) )
    & ( sslist(u)
      | $equal(w,nil) )
    & ( neq(w,nil)
      | $equal(w,nil) )
    & ( frontsegp(x,w)
      | $equal(w,nil) )
    & ( ~ $equal(u,nil)
      | $equal(w,nil) )
    & ( $equal(w,u)
      | $equal(w,nil) )
    & ( $equal(x,v)
      | $equal(w,nil) )
    & ( $equal(v,nil)
      | $equal(w,nil) )
    & ( sslist(x)
      | $equal(w,nil) )
    & ( sslist(w)
      | $equal(w,nil) )
    & ( sslist(v)
      | $equal(w,nil) )
    & ( sslist(u)
      | ~ $equal(u,nil) )
    & ( neq(w,nil)
      | ~ $equal(u,nil) )
    & ( frontsegp(x,w)
      | ~ $equal(u,nil) )
    & ( ~ $equal(u,nil)
      | ~ $equal(u,nil) )
    & ( $equal(w,u)
      | ~ $equal(u,nil) )
    & ( $equal(x,v)
      | ~ $equal(u,nil) )
    & ( $equal(v,nil)
      | ~ $equal(u,nil) )
    & ( sslist(x)
      | ~ $equal(u,nil) )
    & ( sslist(w)
      | ~ $equal(u,nil) )
    & ( sslist(v)
      | ~ $equal(u,nil) )
    & ( sslist(u)
      | $equal(w,u) )
    & ( neq(w,nil)
      | $equal(w,u) )
    & ( frontsegp(x,w)
      | $equal(w,u) )
    & ( ~ $equal(u,nil)
      | $equal(w,u) )
    & ( $equal(w,u)
      | $equal(w,u) )
    & ( $equal(x,v)
      | $equal(w,u) )
    & ( $equal(v,nil)
      | $equal(w,u) )
    & ( sslist(x)
      | $equal(w,u) )
    & ( sslist(w)
      | $equal(w,u) )
    & ( sslist(v)
      | $equal(w,u) )
    & ( sslist(u)
      | $equal(x,v) )
    & ( neq(w,nil)
      | $equal(x,v) )
    & ( frontsegp(x,w)
      | $equal(x,v) )
    & ( ~ $equal(u,nil)
      | $equal(x,v) )
    & ( $equal(w,u)
      | $equal(x,v) )
    & ( $equal(x,v)
      | $equal(x,v) )
    & ( $equal(v,nil)
      | $equal(x,v) )
    & ( sslist(x)
      | $equal(x,v) )
    & ( sslist(w)
      | $equal(x,v) )
    & ( sslist(v)
      | $equal(x,v) )
    & ( sslist(u)
      | $equal(v,nil) )
    & ( neq(w,nil)
      | $equal(v,nil) )
    & ( frontsegp(x,w)
      | $equal(v,nil) )
    & ( ~ $equal(u,nil)
      | $equal(v,nil) )
    & ( $equal(w,u)
      | $equal(v,nil) )
    & ( $equal(x,v)
      | $equal(v,nil) )
    & ( $equal(v,nil)
      | $equal(v,nil) )
    & ( sslist(x)
      | $equal(v,nil) )
    & ( sslist(w)
      | $equal(v,nil) )
    & ( sslist(v)
      | $equal(v,nil) )
    & ( sslist(u)
      | sslist(x) )
    & ( neq(w,nil)
      | sslist(x) )
    & ( frontsegp(x,w)
      | sslist(x) )
    & ( ~ $equal(u,nil)
      | sslist(x) )
    & ( $equal(w,u)
      | sslist(x) )
    & ( $equal(x,v)
      | sslist(x) )
    & ( $equal(v,nil)
      | sslist(x) )
    & ( sslist(x)
      | sslist(x) )
    & ( sslist(w)
      | sslist(x) )
    & ( sslist(v)
      | sslist(x) )
    & ( sslist(u)
      | sslist(w) )
    & ( neq(w,nil)
      | sslist(w) )
    & ( frontsegp(x,w)
      | sslist(w) )
    & ( ~ $equal(u,nil)
      | sslist(w) )
    & ( $equal(w,u)
      | sslist(w) )
    & ( $equal(x,v)
      | sslist(w) )
    & ( $equal(v,nil)
      | sslist(w) )
    & ( sslist(x)
      | sslist(w) )
    & ( sslist(w)
      | sslist(w) )
    & ( sslist(v)
      | sslist(w) )
    & ( sslist(u)
      | sslist(v) )
    & ( neq(w,nil)
      | sslist(v) )
    & ( frontsegp(x,w)
      | sslist(v) )
    & ( ~ $equal(u,nil)
      | sslist(v) )
    & ( $equal(w,u)
      | sslist(v) )
    & ( $equal(x,v)
      | sslist(v) )
    & ( $equal(v,nil)
      | sslist(v) )
    & ( sslist(x)
      | sslist(v) )
    & ( sslist(w)
      | sslist(v) )
    & ( sslist(v)
      | sslist(v) )
    & ( sslist(u)
      | sslist(u) )
    & ( neq(w,nil)
      | sslist(u) )
    & ( frontsegp(x,w)
      | sslist(u) )
    & ( ~ $equal(u,nil)
      | sslist(u) )
    & ( $equal(w,u)
      | sslist(u) )
    & ( $equal(x,v)
      | sslist(u) )
    & ( $equal(v,nil)
      | sslist(u) )
    & ( sslist(x)
      | sslist(u) )
    & ( sslist(w)
      | sslist(u) )
    & ( sslist(v)
      | sslist(u) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),
    [] ).

cnf(158942072,plain,
    sslist(v),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

fof(ax45,plain,
    ! [A] :
      ( ~ sslist(A)
      | frontsegp(A,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),
    [] ).

cnf(157391144,plain,
    ( ~ sslist(A)
    | frontsegp(A,nil) ),
    inference(rewrite,[status(thm)],[ax45]),
    [] ).

cnf(229524616,plain,
    frontsegp(v,nil),
    inference(resolution,[status(thm)],[158942072,157391144]),
    [] ).

cnf(158984800,plain,
    ( frontsegp(x,w)
    | $equal(w,nil) ),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(258390304,plain,
    ( frontsegp(v,w)
    | frontsegp(x,w) ),
    inference(paramodulation,[status(thm)],[229524616,158984800,theory(equality)]),
    [] ).

cnf(158953840,plain,
    $equal(v,nil),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(258570736,plain,
    ( ~ sslist(A)
    | frontsegp(A,v) ),
    inference(paramodulation,[status(thm)],[157391144,158953840,theory(equality)]),
    [] ).

fof(ax40,plain,
    ! [A,B,C] :
      ( ~ sslist(A)
      | ~ sslist(B)
      | ~ sslist(C)
      | ~ frontsegp(A,B)
      | ~ frontsegp(B,C)
      | frontsegp(A,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),
    [] ).

cnf(157276408,plain,
    ( ~ sslist(A)
    | ~ sslist(B)
    | ~ sslist(C)
    | ~ frontsegp(A,B)
    | ~ frontsegp(B,C)
    | frontsegp(A,C) ),
    inference(rewrite,[status(thm)],[ax40]),
    [] ).

cnf(355648352,plain,
    ( ~ sslist(A)
    | ~ sslist(B)
    | ~ frontsegp(v,B)
    | frontsegp(A,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[258570736,157276408,158942072]),
    [] ).

cnf(158950136,plain,
    sslist(x),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(361895512,plain,
    ( ~ sslist(A)
    | ~ frontsegp(v,A)
    | frontsegp(x,A) ),
    inference(resolution,[status(thm)],[355648352,158950136]),
    [] ).

cnf(158946176,plain,
    sslist(w),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(362686760,plain,
    frontsegp(x,w),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[258390304,361895512,158946176]),
    [] ).

cnf(158849088,plain,
    sslist(u),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

fof(ax17,plain,
    sslist(nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),
    [] ).

cnf(156780176,plain,
    sslist(nil),
    inference(rewrite,[status(thm)],[ax17]),
    [] ).

fof(ax41,plain,
    ! [A,B] :
      ( ~ sslist(A)
      | ~ sslist(B)
      | ~ frontsegp(A,B)
      | ~ frontsegp(B,A)
      | $equal(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),
    [] ).

cnf(157291152,plain,
    ( ~ sslist(A)
    | ~ sslist(B)
    | ~ frontsegp(A,B)
    | ~ frontsegp(B,A)
    | $equal(B,A) ),
    inference(rewrite,[status(thm)],[ax41]),
    [] ).

cnf(158974248,plain,
    ~ $equal(u,nil),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(233721928,plain,
    ~ frontsegp(nil,u),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[157391144,158849088,156780176,157291152,158974248]),
    [] ).

fof(ax42,plain,
    ! [A] :
      ( ~ sslist(A)
      | frontsegp(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),
    [] ).

cnf(157302592,plain,
    ( ~ sslist(A)
    | frontsegp(A,A) ),
    inference(rewrite,[status(thm)],[ax42]),
    [] ).

cnf(227342648,plain,
    frontsegp(nil,nil),
    inference(resolution,[status(thm)],[157302592,156780176]),
    [] ).

cnf(258329016,plain,
    frontsegp(nil,v),
    inference(paramodulation,[status(thm)],[227342648,158953840,theory(equality)]),
    [] ).

cnf(158964424,plain,
    $equal(x,v),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(258504888,plain,
    frontsegp(nil,x),
    inference(paramodulation,[status(thm)],[258329016,158964424,theory(equality)]),
    [] ).

cnf(228505528,plain,
    ( ~ sslist(A)
    | ~ sslist(B)
    | ~ frontsegp(nil,A)
    | ~ frontsegp(A,B)
    | frontsegp(nil,B) ),
    inference(resolution,[status(thm)],[157276408,156780176]),
    [] ).

cnf(362658896,plain,
    ( ~ sslist(A)
    | ~ frontsegp(x,A)
    | frontsegp(nil,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[258504888,228505528,158950136]),
    [] ).

cnf(362665056,plain,
    ~ frontsegp(x,u),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[233721928,362658896,158849088]),
    [] ).

cnf(230120432,plain,
    frontsegp(u,u),
    inference(resolution,[status(thm)],[158849088,157302592]),
    [] ).

cnf(158970192,plain,
    $equal(w,u),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(258475840,plain,
    frontsegp(w,u),
    inference(paramodulation,[status(thm)],[230120432,158970192,theory(equality)]),
    [] ).

cnf(261775248,plain,
    ( ~ sslist(A)
    | ~ sslist(B)
    | ~ frontsegp(A,B)
    | ~ frontsegp(B,u)
    | frontsegp(A,u) ),
    inference(resolution,[status(thm)],[157276408,158849088]),
    [] ).

cnf(305035440,plain,
    ( ~ sslist(A)
    | ~ frontsegp(A,w)
    | frontsegp(A,u) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[258475840,261775248,158946176]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[362686760,362665056,305035440,158950136]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 22 seconds
% START OF PROOF SEQUENCE
% fof(co1,plain,(((sslist(u)|$equal(x,nil))&(neq(w,nil)|$equal(x,nil))&(frontsegp(x,w)|$equal(x,nil))&(~$equal(u,nil)|$equal(x,nil))&($equal(w,u)|$equal(x,nil))&($equal(x,v)|$equal(x,nil))&($equal(v,nil)|$equal(x,nil))&(sslist(x)|$equal(x,nil))&(sslist(w)|$equal(x,nil))&(sslist(v)|$equal(x,nil))&(sslist(u)|$equal(w,nil))&(neq(w,nil)|$equal(w,nil))&(frontsegp(x,w)|$equal(w,nil))&(~$equal(u,nil)|$equal(w,nil))&($equal(w,u)|$equal(w,nil))&($equal(x,v)|$equal(w,nil))&($equal(v,nil)|$equal(w,nil))&(sslist(x)|$equal(w,nil))&(sslist(w)|$equal(w,nil))&(sslist(v)|$equal(w,nil))&(sslist(u)|~$equal(u,nil))&(neq(w,nil)|~$equal(u,nil))&(frontsegp(x,w)|~$equal(u,nil))&(~$equal(u,nil)|~$equal(u,nil))&($equal(w,u)|~$equal(u,nil))&($equal(x,v)|~$equal(u,nil))&($equal(v,nil)|~$equal(u,nil))&(sslist(x)|~$equal(u,nil))&(sslist(w)|~$equal(u,nil))&(sslist(v)|~$equal(u,nil))&(sslist(u)|$equal(w,u))&(neq(w,nil)|$equal(w,u))&(frontsegp(x,w)|$equal(w,u))&(~$equal(u,nil)|$equal(w,u))&($equal(w,u)|$equal(w,u))&($equal(x,v)|$equal(w,u))&($equal(v,nil)|$equal(w,u))&(sslist(x)|$equal(w,u))&(sslist(w)|$equal(w,u))&(sslist(v)|$equal(w,u))&(sslist(u)|$equal(x,v))&(neq(w,nil)|$equal(x,v))&(frontsegp(x,w)|$equal(x,v))&(~$equal(u,nil)|$equal(x,v))&($equal(w,u)|$equal(x,v))&($equal(x,v)|$equal(x,v))&($equal(v,nil)|$equal(x,v))&(sslist(x)|$equal(x,v))&(sslist(w)|$equal(x,v))&(sslist(v)|$equal(x,v))&(sslist(u)|$equal(v,nil))&(neq(w,nil)|$equal(v,nil))&(frontsegp(x,w)|$equal(v,nil))&(~$equal(u,nil)|$equal(v,nil))&($equal(w,u)|$equal(v,nil))&($equal(x,v)|$equal(v,nil))&($equal(v,nil)|$equal(v,nil))&(sslist(x)|$equal(v,nil))&(sslist(w)|$equal(v,nil))&(sslist(v)|$equal(v,nil))&(sslist(u)|sslist(x))&(neq(w,nil)|sslist(x))&(frontsegp(x,w)|sslist(x))&(~$equal(u,nil)|sslist(x))&($equal(w,u)|sslist(x))&($equal(x,v)|sslist(x))&($equal(v,nil)|sslist(x))&(sslist(x)|sslist(x))&(sslist(w)|sslist(x))&(sslist(v)|sslist(x))&(sslist(u)|sslist(w))&(neq(w,nil)|sslist(w))&(frontsegp(x,w)|sslist(w))&(~$equal(u,nil)|sslist(w))&($equal(w,u)|sslist(w))&($equal(x,v)|sslist(w))&($equal(v,nil)|sslist(w))&(sslist(x)|sslist(w))&(sslist(w)|sslist(w))&(sslist(v)|sslist(w))&(sslist(u)|sslist(v))&(neq(w,nil)|sslist(v))&(frontsegp(x,w)|sslist(v))&(~$equal(u,nil)|sslist(v))&($equal(w,u)|sslist(v))&($equal(x,v)|sslist(v))&($equal(v,nil)|sslist(v))&(sslist(x)|sslist(v))&(sslist(w)|sslist(v))&(sslist(v)|sslist(v))&(sslist(u)|sslist(u))&(neq(w,nil)|sslist(u))&(frontsegp(x,w)|sslist(u))&(~$equal(u,nil)|sslist(u))&($equal(w,u)|sslist(u))&($equal(x,v)|sslist(u))&($equal(v,nil)|sslist(u))&(sslist(x)|sslist(u))&(sslist(w)|sslist(u))&(sslist(v)|sslist(u)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),[]).
% 
% cnf(158942072,plain,(sslist(v)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% fof(ax45,plain,(~sslist(A)|frontsegp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),[]).
% 
% cnf(157391144,plain,(~sslist(A)|frontsegp(A,nil)),inference(rewrite,[status(thm)],[ax45]),[]).
% 
% cnf(229524616,plain,(frontsegp(v,nil)),inference(resolution,[status(thm)],[158942072,157391144]),[]).
% 
% cnf(158984800,plain,(frontsegp(x,w)|$equal(w,nil)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(258390304,plain,(frontsegp(v,w)|frontsegp(x,w)),inference(paramodulation,[status(thm)],[229524616,158984800,theory(equality)]),[]).
% 
% cnf(158953840,plain,($equal(v,nil)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(258570736,plain,(~sslist(A)|frontsegp(A,v)),inference(paramodulation,[status(thm)],[157391144,158953840,theory(equality)]),[]).
% 
% fof(ax40,plain,(~sslist(A)|~sslist(B)|~sslist(C)|~frontsegp(A,B)|~frontsegp(B,C)|frontsegp(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),[]).
% 
% cnf(157276408,plain,(~sslist(A)|~sslist(B)|~sslist(C)|~frontsegp(A,B)|~frontsegp(B,C)|frontsegp(A,C)),inference(rewrite,[status(thm)],[ax40]),[]).
% 
% cnf(355648352,plain,(~sslist(A)|~sslist(B)|~frontsegp(v,B)|frontsegp(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[258570736,157276408,158942072]),[]).
% 
% cnf(158950136,plain,(sslist(x)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(361895512,plain,(~sslist(A)|~frontsegp(v,A)|frontsegp(x,A)),inference(resolution,[status(thm)],[355648352,158950136]),[]).
% 
% cnf(158946176,plain,(sslist(w)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(362686760,plain,(frontsegp(x,w)),inference(forward_subsumption_resolution__resolution,[status(thm)],[258390304,361895512,158946176]),[]).
% 
% cnf(158849088,plain,(sslist(u)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% fof(ax17,plain,(sslist(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),[]).
% 
% cnf(156780176,plain,(sslist(nil)),inference(rewrite,[status(thm)],[ax17]),[]).
% 
% fof(ax41,plain,(~sslist(A)|~sslist(B)|~frontsegp(A,B)|~frontsegp(B,A)|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),[]).
% 
% cnf(157291152,plain,(~sslist(A)|~sslist(B)|~frontsegp(A,B)|~frontsegp(B,A)|$equal(B,A)),inference(rewrite,[status(thm)],[ax41]),[]).
% 
% cnf(158974248,plain,(~$equal(u,nil)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(233721928,plain,(~frontsegp(nil,u)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157391144,158849088,156780176,157291152,158974248]),[]).
% 
% fof(ax42,plain,(~sslist(A)|frontsegp(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC038+1.tptp',unknown),[]).
% 
% cnf(157302592,plain,(~sslist(A)|frontsegp(A,A)),inference(rewrite,[status(thm)],[ax42]),[]).
% 
% cnf(227342648,plain,(frontsegp(nil,nil)),inference(resolution,[status(thm)],[157302592,156780176]),[]).
% 
% cnf(258329016,plain,(frontsegp(nil,v)),inference(paramodulation,[status(thm)],[227342648,158953840,theory(equality)]),[]).
% 
% cnf(158964424,plain,($equal(x,v)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(258504888,plain,(frontsegp(nil,x)),inference(paramodulation,[status(thm)],[258329016,158964424,theory(equality)]),[]).
% 
% cnf(228505528,plain,(~sslist(A)|~sslist(B)|~frontsegp(nil,A)|~frontsegp(A,B)|frontsegp(nil,B)),inference(resolution,[status(thm)],[157276408,156780176]),[]).
% 
% cnf(362658896,plain,(~sslist(A)|~frontsegp(x,A)|frontsegp(nil,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[258504888,228505528,158950136]),[]).
% 
% cnf(362665056,plain,(~frontsegp(x,u)),inference(forward_subsumption_resolution__resolution,[status(thm)],[233721928,362658896,158849088]),[]).
% 
% cnf(230120432,plain,(frontsegp(u,u)),inference(resolution,[status(thm)],[158849088,157302592]),[]).
% 
% cnf(158970192,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(258475840,plain,(frontsegp(w,u)),inference(paramodulation,[status(thm)],[230120432,158970192,theory(equality)]),[]).
% 
% cnf(261775248,plain,(~sslist(A)|~sslist(B)|~frontsegp(A,B)|~frontsegp(B,u)|frontsegp(A,u)),inference(resolution,[status(thm)],[157276408,158849088]),[]).
% 
% cnf(305035440,plain,(~sslist(A)|~frontsegp(A,w)|frontsegp(A,u)),inference(forward_subsumption_resolution__resolution,[status(thm)],[258475840,261775248,158946176]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[362686760,362665056,305035440,158950136]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------