TSTP Solution File: SYN253-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN253-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 17:26:46 EDT 2009

% Result   : Unsatisfiable 514.4s
% Output   : Refutation 514.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   65 (  30 unt;   0 def)
%            Number of atoms       :  128 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  132 (  69   ~;  63   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   87 (  21 sgn  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_32,plain,
    k0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152580616,plain,
    k0(b),
    inference(rewrite,[status(thm)],[axiom_32]),
    [] ).

fof(rule_068,plain,
    ! [A] :
      ( p1(A,A,A)
      | ~ k0(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(153372768,plain,
    ( p1(A,A,A)
    | ~ k0(A) ),
    inference(rewrite,[status(thm)],[rule_068]),
    [] ).

fof(axiom_20,plain,
    l0(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152520160,plain,
    l0(a),
    inference(rewrite,[status(thm)],[axiom_20]),
    [] ).

fof(rule_050,plain,
    ! [A,B] :
      ( n1(A,B,A)
      | ~ s0(b)
      | ~ l0(A)
      | ~ p0(b,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152493032,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

fof(axiom_5,plain,
    s0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152445232,plain,
    s0(b),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

cnf(153141496,plain,
    ( n1(A,B,A)
    | ~ l0(A) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,152493032,152445232]),
    [] ).

cnf(165405832,plain,
    n1(a,A,a),
    inference(resolution,[status(thm)],[153141496,152520160]),
    [] ).

fof(rule_054,plain,
    ! [A,B,C] :
      ( n1(A,B,B)
      | ~ l0(C)
      | ~ l1(C,A)
      | ~ n1(A,B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(153206648,plain,
    ( n1(A,B,B)
    | ~ l0(C)
    | ~ l1(C,A)
    | ~ n1(A,B,A) ),
    inference(rewrite,[status(thm)],[rule_054]),
    [] ).

fof(axiom_37,plain,
    n0(b,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152599328,plain,
    n0(b,a),
    inference(rewrite,[status(thm)],[axiom_37]),
    [] ).

fof(rule_002,plain,
    ! [A,B] :
      ( l1(A,A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152626752,plain,
    ( l1(A,A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_002]),
    [] ).

cnf(169655696,plain,
    l1(a,a),
    inference(resolution,[status(thm)],[152599328,152626752]),
    [] ).

cnf(710664848,plain,
    n1(a,A,A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152520160,165405832,153206648,169655696]),
    [] ).

fof(rule_182,plain,
    ! [A,B,C] :
      ( q2(A,B,A)
      | ~ p1(A,A,C)
      | ~ n1(B,A,C)
      | ~ q2(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(154703328,plain,
    ( q2(A,B,A)
    | ~ p1(A,A,C)
    | ~ n1(B,A,C)
    | ~ q2(B,C,A) ),
    inference(rewrite,[status(thm)],[rule_182]),
    [] ).

fof(rule_177,plain,
    ! [A,B] :
      ( q2(A,B,B)
      | ~ k0(B)
      | ~ p1(A,A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(154632904,plain,
    ( q2(A,B,B)
    | ~ k0(B)
    | ~ p1(A,A,A) ),
    inference(rewrite,[status(thm)],[rule_177]),
    [] ).

fof(rule_075,plain,
    ( p1(a,a,a)
    | ~ p0(b,a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(153425680,plain,
    p1(a,a,a),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,152493032]),
    [] ).

cnf(182406472,plain,
    ( q2(a,A,A)
    | ~ k0(A) ),
    inference(resolution,[status(thm)],[154632904,153425680]),
    [] ).

cnf(212570998,plain,
    ( q2(A,a,A)
    | ~ k0(A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[153372768,710664848,154703328,182406472]),
    [] ).

fof(rule_273,plain,
    ! [A,B,C,D] :
      ( s3(A,B)
      | ~ q2(C,A,C)
      | ~ s2(A)
      | ~ m0(C,D,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(155985968,plain,
    ( s3(A,B)
    | ~ q2(C,A,C)
    | ~ s2(A)
    | ~ m0(C,D,B) ),
    inference(rewrite,[status(thm)],[rule_273]),
    [] ).

fof(axiom_19,plain,
    ! [A,B] : m0(A,d,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152515800,plain,
    m0(A,d,B),
    inference(rewrite,[status(thm)],[axiom_19]),
    [] ).

cnf(168364240,plain,
    ( s3(A,B)
    | ~ q2(C,A,C)
    | ~ s2(A) ),
    inference(resolution,[status(thm)],[155985968,152515800]),
    [] ).

fof(rule_181,plain,
    ! [A] :
      ( q2(A,A,A)
      | ~ p1(A,A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(154684904,plain,
    ( q2(A,A,A)
    | ~ p1(A,A,A) ),
    inference(rewrite,[status(thm)],[rule_181]),
    [] ).

cnf(168896904,plain,
    q2(a,a,a),
    inference(resolution,[status(thm)],[154684904,153425680]),
    [] ).

cnf(176980856,plain,
    ( s3(a,A)
    | ~ s2(a) ),
    inference(resolution,[status(thm)],[168364240,168896904]),
    [] ).

fof(axiom_17,plain,
    ! [A] : q0(A,d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152508320,plain,
    q0(A,d),
    inference(rewrite,[status(thm)],[axiom_17]),
    [] ).

fof(rule_126,plain,
    ! [A,B,C] :
      ( s1(A)
      | ~ q0(A,B)
      | ~ s1(C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(153932408,plain,
    ( s1(A)
    | ~ q0(A,B)
    | ~ s1(C) ),
    inference(rewrite,[status(thm)],[rule_126]),
    [] ).

cnf(170441336,plain,
    ( s1(A)
    | ~ s1(B) ),
    inference(resolution,[status(thm)],[152508320,153932408]),
    [] ).

fof(rule_125,plain,
    ! [A] :
      ( s1(A)
      | ~ p0(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(153920264,plain,
    ( s1(A)
    | ~ p0(A,A) ),
    inference(rewrite,[status(thm)],[rule_125]),
    [] ).

cnf(166917320,plain,
    s1(b),
    inference(resolution,[status(thm)],[153920264,152493032]),
    [] ).

cnf(170445712,plain,
    s1(A),
    inference(resolution,[status(thm)],[170441336,166917320]),
    [] ).

fof(rule_133,plain,
    ! [A,B,C,D] :
      ( l2(A,A)
      | ~ p0(B,B)
      | ~ s1(C)
      | ~ m0(D,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(154040552,plain,
    ( l2(A,A)
    | ~ p0(B,B)
    | ~ s1(C)
    | ~ m0(D,C,A) ),
    inference(rewrite,[status(thm)],[rule_133]),
    [] ).

cnf(167107456,plain,
    ( l2(A,A)
    | ~ s1(B)
    | ~ m0(C,B,A) ),
    inference(resolution,[status(thm)],[154040552,152493032]),
    [] ).

fof(axiom_4,plain,
    m0(e,d,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(152434616,plain,
    m0(e,d,a),
    inference(rewrite,[status(thm)],[axiom_4]),
    [] ).

cnf(175827656,plain,
    l2(a,a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170445712,167107456,152434616]),
    [] ).

fof(rule_279,plain,
    ! [A,B,C] :
      ( m4(A,B)
      | ~ l2(C,B)
      | ~ s3(a,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(156068584,plain,
    ( m4(A,B)
    | ~ l2(C,B)
    | ~ s3(a,A) ),
    inference(rewrite,[status(thm)],[rule_279]),
    [] ).

fof(prove_this,plain,
    ! [A] : ~ m4(e,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(156788584,plain,
    ~ m4(e,A),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(169164368,plain,
    ( ~ l2(B,A)
    | ~ s3(a,e) ),
    inference(resolution,[status(thm)],[156068584,156788584]),
    [] ).

cnf(176157744,plain,
    ~ s3(a,e),
    inference(resolution,[status(thm)],[175827656,169164368]),
    [] ).

cnf(177034704,plain,
    ~ s2(a),
    inference(resolution,[status(thm)],[176980856,176157744]),
    [] ).

fof(rule_189,plain,
    ! [A] :
      ( s2(A)
      | ~ q2(b,A,b)
      | ~ s1(b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),
    [] ).

cnf(154813824,plain,
    ( s2(A)
    | ~ q2(b,A,b)
    | ~ s1(b) ),
    inference(rewrite,[status(thm)],[rule_189]),
    [] ).

cnf(167219976,plain,
    ( s2(A)
    | ~ q2(b,A,b) ),
    inference(resolution,[status(thm)],[154813824,166917320]),
    [] ).

cnf(177068232,plain,
    ~ q2(b,a,b),
    inference(resolution,[status(thm)],[177034704,167219976]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152580616,212570998,177068232]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 698 seconds
% START OF PROOF SEQUENCE
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152580616,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
% 
% fof(rule_068,plain,(p1(A,A,A)|~k0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(153372768,plain,(p1(A,A,A)|~k0(A)),inference(rewrite,[status(thm)],[rule_068]),[]).
% 
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152520160,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
% 
% fof(rule_050,plain,(n1(A,B,A)|~s0(b)|~l0(A)|~p0(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152493032,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152445232,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% cnf(153141496,plain,(n1(A,B,A)|~l0(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,152493032,152445232]),[]).
% 
% cnf(165405832,plain,(n1(a,A,a)),inference(resolution,[status(thm)],[153141496,152520160]),[]).
% 
% fof(rule_054,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(153206648,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),inference(rewrite,[status(thm)],[rule_054]),[]).
% 
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152599328,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
% 
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152626752,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
% 
% cnf(169655696,plain,(l1(a,a)),inference(resolution,[status(thm)],[152599328,152626752]),[]).
% 
% cnf(710664848,plain,(n1(a,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152520160,165405832,153206648,169655696]),[]).
% 
% fof(rule_182,plain,(q2(A,B,A)|~p1(A,A,C)|~n1(B,A,C)|~q2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(154703328,plain,(q2(A,B,A)|~p1(A,A,C)|~n1(B,A,C)|~q2(B,C,A)),inference(rewrite,[status(thm)],[rule_182]),[]).
% 
% fof(rule_177,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(154632904,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_177]),[]).
% 
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(153425680,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,152493032]),[]).
% 
% cnf(182406472,plain,(q2(a,A,A)|~k0(A)),inference(resolution,[status(thm)],[154632904,153425680]),[]).
% 
% cnf(212570998,plain,(q2(A,a,A)|~k0(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153372768,710664848,154703328,182406472]),[]).
% 
% fof(rule_273,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(155985968,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),inference(rewrite,[status(thm)],[rule_273]),[]).
% 
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152515800,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
% 
% cnf(168364240,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[155985968,152515800]),[]).
% 
% fof(rule_181,plain,(q2(A,A,A)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(154684904,plain,(q2(A,A,A)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_181]),[]).
% 
% cnf(168896904,plain,(q2(a,a,a)),inference(resolution,[status(thm)],[154684904,153425680]),[]).
% 
% cnf(176980856,plain,(s3(a,A)|~s2(a)),inference(resolution,[status(thm)],[168364240,168896904]),[]).
% 
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152508320,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
% 
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(153932408,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
% 
% cnf(170441336,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[152508320,153932408]),[]).
% 
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(153920264,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
% 
% cnf(166917320,plain,(s1(b)),inference(resolution,[status(thm)],[153920264,152493032]),[]).
% 
% cnf(170445712,plain,(s1(A)),inference(resolution,[status(thm)],[170441336,166917320]),[]).
% 
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(154040552,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
% 
% cnf(167107456,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[154040552,152493032]),[]).
% 
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(152434616,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
% 
% cnf(175827656,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170445712,167107456,152434616]),[]).
% 
% fof(rule_279,plain,(m4(A,B)|~l2(C,B)|~s3(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(156068584,plain,(m4(A,B)|~l2(C,B)|~s3(a,A)),inference(rewrite,[status(thm)],[rule_279]),[]).
% 
% fof(prove_this,plain,(~m4(e,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(156788584,plain,(~m4(e,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(169164368,plain,(~l2(B,A)|~s3(a,e)),inference(resolution,[status(thm)],[156068584,156788584]),[]).
% 
% cnf(176157744,plain,(~s3(a,e)),inference(resolution,[status(thm)],[175827656,169164368]),[]).
% 
% cnf(177034704,plain,(~s2(a)),inference(resolution,[status(thm)],[176980856,176157744]),[]).
% 
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN253-1.tptp',unknown),[]).
% 
% cnf(154813824,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
% 
% cnf(167219976,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[154813824,166917320]),[]).
% 
% cnf(177068232,plain,(~q2(b,a,b)),inference(resolution,[status(thm)],[177034704,167219976]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[152580616,212570998,177068232]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------