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GKC---0.8.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG093+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:27:48 EDT 2023

% Result   : Theorem 11.11s 1.98s
% Output   : CNFRefutation 11.11s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
    ( ( op(e4,e4) != e4
      & op(e3,e4) != e4
      & op(e2,e4) != e4
      & op(e1,e4) != e4
      & op(e0,e4) != e4 )
    | ( op(e4,e4) != e4
      & op(e4,e3) != e4
      & op(e4,e2) != e4
      & op(e4,e1) != e4
      & op(e4,e0) != e4 )
    | ( op(e4,e4) != e3
      & op(e3,e4) != e3
      & op(e2,e4) != e3
      & op(e1,e4) != e3
      & op(e0,e4) != e3 )
    | ( op(e4,e4) != e3
      & op(e4,e3) != e3
      & op(e4,e2) != e3
      & op(e4,e1) != e3
      & op(e4,e0) != e3 )
    | ( op(e4,e4) != e2
      & op(e3,e4) != e2
      & op(e2,e4) != e2
      & op(e1,e4) != e2
      & op(e0,e4) != e2 )
    | ( op(e4,e4) != e2
      & op(e4,e3) != e2
      & op(e4,e2) != e2
      & op(e4,e1) != e2
      & op(e4,e0) != e2 )
    | ( op(e4,e4) != e1
      & op(e3,e4) != e1
      & op(e2,e4) != e1
      & op(e1,e4) != e1
      & op(e0,e4) != e1 )
    | ( op(e4,e4) != e1
      & op(e4,e3) != e1
      & op(e4,e2) != e1
      & op(e4,e1) != e1
      & op(e4,e0) != e1 )
    | ( op(e4,e4) != e0
      & op(e3,e4) != e0
      & op(e2,e4) != e0
      & op(e1,e4) != e0
      & op(e0,e4) != e0 )
    | ( op(e4,e4) != e0
      & op(e4,e3) != e0
      & op(e4,e2) != e0
      & op(e4,e1) != e0
      & op(e4,e0) != e0 )
    | ( op(e4,e3) != e4
      & op(e3,e3) != e4
      & op(e2,e3) != e4
      & op(e1,e3) != e4
      & op(e0,e3) != e4 )
    | ( op(e3,e4) != e4
      & op(e3,e3) != e4
      & op(e3,e2) != e4
      & op(e3,e1) != e4
      & op(e3,e0) != e4 )
    | ( op(e4,e3) != e3
      & op(e3,e3) != e3
      & op(e2,e3) != e3
      & op(e1,e3) != e3
      & op(e0,e3) != e3 )
    | ( op(e3,e4) != e3
      & op(e3,e3) != e3
      & op(e3,e2) != e3
      & op(e3,e1) != e3
      & op(e3,e0) != e3 )
    | ( op(e4,e3) != e2
      & op(e3,e3) != e2
      & op(e2,e3) != e2
      & op(e1,e3) != e2
      & op(e0,e3) != e2 )
    | ( op(e3,e4) != e2
      & op(e3,e3) != e2
      & op(e3,e2) != e2
      & op(e3,e1) != e2
      & op(e3,e0) != e2 )
    | ( op(e4,e3) != e1
      & op(e3,e3) != e1
      & op(e2,e3) != e1
      & op(e1,e3) != e1
      & op(e0,e3) != e1 )
    | ( op(e3,e4) != e1
      & op(e3,e3) != e1
      & op(e3,e2) != e1
      & op(e3,e1) != e1
      & op(e3,e0) != e1 )
    | ( op(e4,e3) != e0
      & op(e3,e3) != e0
      & op(e2,e3) != e0
      & op(e1,e3) != e0
      & op(e0,e3) != e0 )
    | ( op(e3,e4) != e0
      & op(e3,e3) != e0
      & op(e3,e2) != e0
      & op(e3,e1) != e0
      & op(e3,e0) != e0 )
    | ( op(e4,e2) != e4
      & op(e3,e2) != e4
      & op(e2,e2) != e4
      & op(e1,e2) != e4
      & op(e0,e2) != e4 )
    | ( op(e2,e4) != e4
      & op(e2,e3) != e4
      & op(e2,e2) != e4
      & op(e2,e1) != e4
      & op(e2,e0) != e4 )
    | ( op(e4,e2) != e3
      & op(e3,e2) != e3
      & op(e2,e2) != e3
      & op(e1,e2) != e3
      & op(e0,e2) != e3 )
    | ( op(e2,e4) != e3
      & op(e2,e3) != e3
      & op(e2,e2) != e3
      & op(e2,e1) != e3
      & op(e2,e0) != e3 )
    | ( op(e4,e2) != e2
      & op(e3,e2) != e2
      & op(e2,e2) != e2
      & op(e1,e2) != e2
      & op(e0,e2) != e2 )
    | ( op(e2,e4) != e2
      & op(e2,e3) != e2
      & op(e2,e2) != e2
      & op(e2,e1) != e2
      & op(e2,e0) != e2 )
    | ( op(e4,e2) != e1
      & op(e3,e2) != e1
      & op(e2,e2) != e1
      & op(e1,e2) != e1
      & op(e0,e2) != e1 )
    | ( op(e2,e4) != e1
      & op(e2,e3) != e1
      & op(e2,e2) != e1
      & op(e2,e1) != e1
      & op(e2,e0) != e1 )
    | ( op(e4,e2) != e0
      & op(e3,e2) != e0
      & op(e2,e2) != e0
      & op(e1,e2) != e0
      & op(e0,e2) != e0 )
    | ( op(e2,e4) != e0
      & op(e2,e3) != e0
      & op(e2,e2) != e0
      & op(e2,e1) != e0
      & op(e2,e0) != e0 )
    | ( op(e4,e1) != e4
      & op(e3,e1) != e4
      & op(e2,e1) != e4
      & op(e1,e1) != e4
      & op(e0,e1) != e4 )
    | ( op(e1,e4) != e4
      & op(e1,e3) != e4
      & op(e1,e2) != e4
      & op(e1,e1) != e4
      & op(e1,e0) != e4 )
    | ( op(e4,e1) != e3
      & op(e3,e1) != e3
      & op(e2,e1) != e3
      & op(e1,e1) != e3
      & op(e0,e1) != e3 )
    | ( op(e1,e4) != e3
      & op(e1,e3) != e3
      & op(e1,e2) != e3
      & op(e1,e1) != e3
      & op(e1,e0) != e3 )
    | ( op(e4,e1) != e2
      & op(e3,e1) != e2
      & op(e2,e1) != e2
      & op(e1,e1) != e2
      & op(e0,e1) != e2 )
    | ( op(e1,e4) != e2
      & op(e1,e3) != e2
      & op(e1,e2) != e2
      & op(e1,e1) != e2
      & op(e1,e0) != e2 )
    | ( op(e4,e1) != e1
      & op(e3,e1) != e1
      & op(e2,e1) != e1
      & op(e1,e1) != e1
      & op(e0,e1) != e1 )
    | ( op(e1,e4) != e1
      & op(e1,e3) != e1
      & op(e1,e2) != e1
      & op(e1,e1) != e1
      & op(e1,e0) != e1 )
    | ( op(e4,e1) != e0
      & op(e3,e1) != e0
      & op(e2,e1) != e0
      & op(e1,e1) != e0
      & op(e0,e1) != e0 )
    | ( op(e1,e4) != e0
      & op(e1,e3) != e0
      & op(e1,e2) != e0
      & op(e1,e1) != e0
      & op(e1,e0) != e0 )
    | ( op(e4,e0) != e4
      & op(e3,e0) != e4
      & op(e2,e0) != e4
      & op(e1,e0) != e4
      & op(e0,e0) != e4 )
    | ( op(e0,e4) != e4
      & op(e0,e3) != e4
      & op(e0,e2) != e4
      & op(e0,e1) != e4
      & op(e0,e0) != e4 )
    | ( op(e4,e0) != e3
      & op(e3,e0) != e3
      & op(e2,e0) != e3
      & op(e1,e0) != e3
      & op(e0,e0) != e3 )
    | ( op(e0,e4) != e3
      & op(e0,e3) != e3
      & op(e0,e2) != e3
      & op(e0,e1) != e3
      & op(e0,e0) != e3 )
    | ( op(e4,e0) != e2
      & op(e3,e0) != e2
      & op(e2,e0) != e2
      & op(e1,e0) != e2
      & op(e0,e0) != e2 )
    | ( op(e0,e4) != e2
      & op(e0,e3) != e2
      & op(e0,e2) != e2
      & op(e0,e1) != e2
      & op(e0,e0) != e2 )
    | ( op(e4,e0) != e1
      & op(e3,e0) != e1
      & op(e2,e0) != e1
      & op(e1,e0) != e1
      & op(e0,e0) != e1 )
    | ( op(e0,e4) != e1
      & op(e0,e3) != e1
      & op(e0,e2) != e1
      & op(e0,e1) != e1
      & op(e0,e0) != e1 )
    | ( op(e4,e0) != e0
      & op(e3,e0) != e0
      & op(e2,e0) != e0
      & op(e1,e0) != e0
      & op(e0,e0) != e0 )
    | ( op(e0,e4) != e0
      & op(e0,e3) != e0
      & op(e0,e2) != e0
      & op(e0,e1) != e0
      & op(e0,e0) != e0 )
    | ( unit != e4
      & unit != e3
      & unit != e2
      & unit != e1
      & unit != e0 )
    | op(e4,unit) != e4
    | op(unit,e4) != e4
    | op(e3,unit) != e3
    | op(unit,e3) != e3
    | op(e2,unit) != e2
    | op(unit,e2) != e2
    | op(e1,unit) != e1
    | op(unit,e1) != e1
    | op(e0,unit) != e0
    | op(unit,e0) != e0
    | ( op(e4,e4) != e4
      & op(e4,e4) != e3
      & op(e4,e4) != e2
      & op(e4,e4) != e1
      & op(e4,e4) != e0 )
    | ( op(e4,e3) != e4
      & op(e4,e3) != e3
      & op(e4,e3) != e2
      & op(e4,e3) != e1
      & op(e4,e3) != e0 )
    | ( op(e4,e2) != e4
      & op(e4,e2) != e3
      & op(e4,e2) != e2
      & op(e4,e2) != e1
      & op(e4,e2) != e0 )
    | ( op(e4,e1) != e4
      & op(e4,e1) != e3
      & op(e4,e1) != e2
      & op(e4,e1) != e1
      & op(e4,e1) != e0 )
    | ( op(e4,e0) != e4
      & op(e4,e0) != e3
      & op(e4,e0) != e2
      & op(e4,e0) != e1
      & op(e4,e0) != e0 )
    | ( op(e3,e4) != e4
      & op(e3,e4) != e3
      & op(e3,e4) != e2
      & op(e3,e4) != e1
      & op(e3,e4) != e0 )
    | ( op(e3,e3) != e4
      & op(e3,e3) != e3
      & op(e3,e3) != e2
      & op(e3,e3) != e1
      & op(e3,e3) != e0 )
    | ( op(e3,e2) != e4
      & op(e3,e2) != e3
      & op(e3,e2) != e2
      & op(e3,e2) != e1
      & op(e3,e2) != e0 )
    | ( op(e3,e1) != e4
      & op(e3,e1) != e3
      & op(e3,e1) != e2
      & op(e3,e1) != e1
      & op(e3,e1) != e0 )
    | ( op(e3,e0) != e4
      & op(e3,e0) != e3
      & op(e3,e0) != e2
      & op(e3,e0) != e1
      & op(e3,e0) != e0 )
    | ( op(e2,e4) != e4
      & op(e2,e4) != e3
      & op(e2,e4) != e2
      & op(e2,e4) != e1
      & op(e2,e4) != e0 )
    | ( op(e2,e3) != e4
      & op(e2,e3) != e3
      & op(e2,e3) != e2
      & op(e2,e3) != e1
      & op(e2,e3) != e0 )
    | ( op(e2,e2) != e4
      & op(e2,e2) != e3
      & op(e2,e2) != e2
      & op(e2,e2) != e1
      & op(e2,e2) != e0 )
    | ( op(e2,e1) != e4
      & op(e2,e1) != e3
      & op(e2,e1) != e2
      & op(e2,e1) != e1
      & op(e2,e1) != e0 )
    | ( op(e2,e0) != e4
      & op(e2,e0) != e3
      & op(e2,e0) != e2
      & op(e2,e0) != e1
      & op(e2,e0) != e0 )
    | ( op(e1,e4) != e4
      & op(e1,e4) != e3
      & op(e1,e4) != e2
      & op(e1,e4) != e1
      & op(e1,e4) != e0 )
    | ( op(e1,e3) != e4
      & op(e1,e3) != e3
      & op(e1,e3) != e2
      & op(e1,e3) != e1
      & op(e1,e3) != e0 )
    | ( op(e1,e2) != e4
      & op(e1,e2) != e3
      & op(e1,e2) != e2
      & op(e1,e2) != e1
      & op(e1,e2) != e0 )
    | ( op(e1,e1) != e4
      & op(e1,e1) != e3
      & op(e1,e1) != e2
      & op(e1,e1) != e1
      & op(e1,e1) != e0 )
    | ( op(e1,e0) != e4
      & op(e1,e0) != e3
      & op(e1,e0) != e2
      & op(e1,e0) != e1
      & op(e1,e0) != e0 )
    | ( op(e0,e4) != e4
      & op(e0,e4) != e3
      & op(e0,e4) != e2
      & op(e0,e4) != e1
      & op(e0,e4) != e0 )
    | ( op(e0,e3) != e4
      & op(e0,e3) != e3
      & op(e0,e3) != e2
      & op(e0,e3) != e1
      & op(e0,e3) != e0 )
    | ( op(e0,e2) != e4
      & op(e0,e2) != e3
      & op(e0,e2) != e2
      & op(e0,e2) != e1
      & op(e0,e2) != e0 )
    | ( op(e0,e1) != e4
      & op(e0,e1) != e3
      & op(e0,e1) != e2
      & op(e0,e1) != e1
      & op(e0,e1) != e0 )
    | ( op(e0,e0) != e4
      & op(e0,e0) != e3
      & op(e0,e0) != e2
      & op(e0,e0) != e1
      & op(e0,e0) != e0 )
    | ( ( ( ( e4 = unit
            | op(e4,e4) != e4 )
          & op(e4,e4) = e4 )
        | ( ( e4 = unit
            | op(e4,e4) != e3 )
          & op(e4,e3) = e4 )
        | ( ( e4 = unit
            | op(e4,e4) != e2 )
          & op(e4,e2) = e4 )
        | ( ( e4 = unit
            | op(e4,e4) != e1 )
          & op(e4,e1) = e4 )
        | ( ( e4 = unit
            | op(e4,e4) != e0 )
          & op(e4,e0) = e4 )
        | ( ( e4 = unit
            | op(e3,e4) != e4 )
          & op(e3,e4) = e4 )
        | ( ( e4 = unit
            | op(e3,e4) != e3 )
          & op(e3,e3) = e4 )
        | ( ( e4 = unit
            | op(e3,e4) != e2 )
          & op(e3,e2) = e4 )
        | ( ( e4 = unit
            | op(e3,e4) != e1 )
          & op(e3,e1) = e4 )
        | ( ( e4 = unit
            | op(e3,e4) != e0 )
          & op(e3,e0) = e4 )
        | ( ( e4 = unit
            | op(e2,e4) != e4 )
          & op(e2,e4) = e4 )
        | ( ( e4 = unit
            | op(e2,e4) != e3 )
          & op(e2,e3) = e4 )
        | ( ( e4 = unit
            | op(e2,e4) != e2 )
          & op(e2,e2) = e4 )
        | ( ( e4 = unit
            | op(e2,e4) != e1 )
          & op(e2,e1) = e4 )
        | ( ( e4 = unit
            | op(e2,e4) != e0 )
          & op(e2,e0) = e4 )
        | ( ( e4 = unit
            | op(e1,e4) != e4 )
          & op(e1,e4) = e4 )
        | ( ( e4 = unit
            | op(e1,e4) != e3 )
          & op(e1,e3) = e4 )
        | ( ( e4 = unit
            | op(e1,e4) != e2 )
          & op(e1,e2) = e4 )
        | ( ( e4 = unit
            | op(e1,e4) != e1 )
          & op(e1,e1) = e4 )
        | ( ( e4 = unit
            | op(e1,e4) != e0 )
          & op(e1,e0) = e4 )
        | ( ( e4 = unit
            | op(e0,e4) != e4 )
          & op(e0,e4) = e4 )
        | ( ( e4 = unit
            | op(e0,e4) != e3 )
          & op(e0,e3) = e4 )
        | ( ( e4 = unit
            | op(e0,e4) != e2 )
          & op(e0,e2) = e4 )
        | ( ( e4 = unit
            | op(e0,e4) != e1 )
          & op(e0,e1) = e4 )
        | ( ( e4 = unit
            | op(e0,e4) != e0 )
          & op(e0,e0) = e4 ) )
      & ( ( ( e3 = unit
            | op(e4,e3) != e4 )
          & op(e4,e4) = e3 )
        | ( ( e3 = unit
            | op(e4,e3) != e3 )
          & op(e4,e3) = e3 )
        | ( ( e3 = unit
            | op(e4,e3) != e2 )
          & op(e4,e2) = e3 )
        | ( ( e3 = unit
            | op(e4,e3) != e1 )
          & op(e4,e1) = e3 )
        | ( ( e3 = unit
            | op(e4,e3) != e0 )
          & op(e4,e0) = e3 )
        | ( ( e3 = unit
            | op(e3,e3) != e4 )
          & op(e3,e4) = e3 )
        | ( ( e3 = unit
            | op(e3,e3) != e3 )
          & op(e3,e3) = e3 )
        | ( ( e3 = unit
            | op(e3,e3) != e2 )
          & op(e3,e2) = e3 )
        | ( ( e3 = unit
            | op(e3,e3) != e1 )
          & op(e3,e1) = e3 )
        | ( ( e3 = unit
            | op(e3,e3) != e0 )
          & op(e3,e0) = e3 )
        | ( ( e3 = unit
            | op(e2,e3) != e4 )
          & op(e2,e4) = e3 )
        | ( ( e3 = unit
            | op(e2,e3) != e3 )
          & op(e2,e3) = e3 )
        | ( ( e3 = unit
            | op(e2,e3) != e2 )
          & op(e2,e2) = e3 )
        | ( ( e3 = unit
            | op(e2,e3) != e1 )
          & op(e2,e1) = e3 )
        | ( ( e3 = unit
            | op(e2,e3) != e0 )
          & op(e2,e0) = e3 )
        | ( ( e3 = unit
            | op(e1,e3) != e4 )
          & op(e1,e4) = e3 )
        | ( ( e3 = unit
            | op(e1,e3) != e3 )
          & op(e1,e3) = e3 )
        | ( ( e3 = unit
            | op(e1,e3) != e2 )
          & op(e1,e2) = e3 )
        | ( ( e3 = unit
            | op(e1,e3) != e1 )
          & op(e1,e1) = e3 )
        | ( ( e3 = unit
            | op(e1,e3) != e0 )
          & op(e1,e0) = e3 )
        | ( ( e3 = unit
            | op(e0,e3) != e4 )
          & op(e0,e4) = e3 )
        | ( ( e3 = unit
            | op(e0,e3) != e3 )
          & op(e0,e3) = e3 )
        | ( ( e3 = unit
            | op(e0,e3) != e2 )
          & op(e0,e2) = e3 )
        | ( ( e3 = unit
            | op(e0,e3) != e1 )
          & op(e0,e1) = e3 )
        | ( ( e3 = unit
            | op(e0,e3) != e0 )
          & op(e0,e0) = e3 ) )
      & ( ( ( e2 = unit
            | op(e4,e2) != e4 )
          & op(e4,e4) = e2 )
        | ( ( e2 = unit
            | op(e4,e2) != e3 )
          & op(e4,e3) = e2 )
        | ( ( e2 = unit
            | op(e4,e2) != e2 )
          & op(e4,e2) = e2 )
        | ( ( e2 = unit
            | op(e4,e2) != e1 )
          & op(e4,e1) = e2 )
        | ( ( e2 = unit
            | op(e4,e2) != e0 )
          & op(e4,e0) = e2 )
        | ( ( e2 = unit
            | op(e3,e2) != e4 )
          & op(e3,e4) = e2 )
        | ( ( e2 = unit
            | op(e3,e2) != e3 )
          & op(e3,e3) = e2 )
        | ( ( e2 = unit
            | op(e3,e2) != e2 )
          & op(e3,e2) = e2 )
        | ( ( e2 = unit
            | op(e3,e2) != e1 )
          & op(e3,e1) = e2 )
        | ( ( e2 = unit
            | op(e3,e2) != e0 )
          & op(e3,e0) = e2 )
        | ( ( e2 = unit
            | op(e2,e2) != e4 )
          & op(e2,e4) = e2 )
        | ( ( e2 = unit
            | op(e2,e2) != e3 )
          & op(e2,e3) = e2 )
        | ( ( e2 = unit
            | op(e2,e2) != e2 )
          & op(e2,e2) = e2 )
        | ( ( e2 = unit
            | op(e2,e2) != e1 )
          & op(e2,e1) = e2 )
        | ( ( e2 = unit
            | op(e2,e2) != e0 )
          & op(e2,e0) = e2 )
        | ( ( e2 = unit
            | op(e1,e2) != e4 )
          & op(e1,e4) = e2 )
        | ( ( e2 = unit
            | op(e1,e2) != e3 )
          & op(e1,e3) = e2 )
        | ( ( e2 = unit
            | op(e1,e2) != e2 )
          & op(e1,e2) = e2 )
        | ( ( e2 = unit
            | op(e1,e2) != e1 )
          & op(e1,e1) = e2 )
        | ( ( e2 = unit
            | op(e1,e2) != e0 )
          & op(e1,e0) = e2 )
        | ( ( e2 = unit
            | op(e0,e2) != e4 )
          & op(e0,e4) = e2 )
        | ( ( e2 = unit
            | op(e0,e2) != e3 )
          & op(e0,e3) = e2 )
        | ( ( e2 = unit
            | op(e0,e2) != e2 )
          & op(e0,e2) = e2 )
        | ( ( e2 = unit
            | op(e0,e2) != e1 )
          & op(e0,e1) = e2 )
        | ( ( e2 = unit
            | op(e0,e2) != e0 )
          & op(e0,e0) = e2 ) )
      & ( ( ( e1 = unit
            | op(e4,e1) != e4 )
          & op(e4,e4) = e1 )
        | ( ( e1 = unit
            | op(e4,e1) != e3 )
          & op(e4,e3) = e1 )
        | ( ( e1 = unit
            | op(e4,e1) != e2 )
          & op(e4,e2) = e1 )
        | ( ( e1 = unit
            | op(e4,e1) != e1 )
          & op(e4,e1) = e1 )
        | ( ( e1 = unit
            | op(e4,e1) != e0 )
          & op(e4,e0) = e1 )
        | ( ( e1 = unit
            | op(e3,e1) != e4 )
          & op(e3,e4) = e1 )
        | ( ( e1 = unit
            | op(e3,e1) != e3 )
          & op(e3,e3) = e1 )
        | ( ( e1 = unit
            | op(e3,e1) != e2 )
          & op(e3,e2) = e1 )
        | ( ( e1 = unit
            | op(e3,e1) != e1 )
          & op(e3,e1) = e1 )
        | ( ( e1 = unit
            | op(e3,e1) != e0 )
          & op(e3,e0) = e1 )
        | ( ( e1 = unit
            | op(e2,e1) != e4 )
          & op(e2,e4) = e1 )
        | ( ( e1 = unit
            | op(e2,e1) != e3 )
          & op(e2,e3) = e1 )
        | ( ( e1 = unit
            | op(e2,e1) != e2 )
          & op(e2,e2) = e1 )
        | ( ( e1 = unit
            | op(e2,e1) != e1 )
          & op(e2,e1) = e1 )
        | ( ( e1 = unit
            | op(e2,e1) != e0 )
          & op(e2,e0) = e1 )
        | ( ( e1 = unit
            | op(e1,e1) != e4 )
          & op(e1,e4) = e1 )
        | ( ( e1 = unit
            | op(e1,e1) != e3 )
          & op(e1,e3) = e1 )
        | ( ( e1 = unit
            | op(e1,e1) != e2 )
          & op(e1,e2) = e1 )
        | ( ( e1 = unit
            | op(e1,e1) != e1 )
          & op(e1,e1) = e1 )
        | ( ( e1 = unit
            | op(e1,e1) != e0 )
          & op(e1,e0) = e1 )
        | ( ( e1 = unit
            | op(e0,e1) != e4 )
          & op(e0,e4) = e1 )
        | ( ( e1 = unit
            | op(e0,e1) != e3 )
          & op(e0,e3) = e1 )
        | ( ( e1 = unit
            | op(e0,e1) != e2 )
          & op(e0,e2) = e1 )
        | ( ( e1 = unit
            | op(e0,e1) != e1 )
          & op(e0,e1) = e1 )
        | ( ( e1 = unit
            | op(e0,e1) != e0 )
          & op(e0,e0) = e1 ) )
      & ( ( ( e0 = unit
            | op(e4,e0) != e4 )
          & op(e4,e4) = e0 )
        | ( ( e0 = unit
            | op(e4,e0) != e3 )
          & op(e4,e3) = e0 )
        | ( ( e0 = unit
            | op(e4,e0) != e2 )
          & op(e4,e2) = e0 )
        | ( ( e0 = unit
            | op(e4,e0) != e1 )
          & op(e4,e1) = e0 )
        | ( ( e0 = unit
            | op(e4,e0) != e0 )
          & op(e4,e0) = e0 )
        | ( ( e0 = unit
            | op(e3,e0) != e4 )
          & op(e3,e4) = e0 )
        | ( ( e0 = unit
            | op(e3,e0) != e3 )
          & op(e3,e3) = e0 )
        | ( ( e0 = unit
            | op(e3,e0) != e2 )
          & op(e3,e2) = e0 )
        | ( ( e0 = unit
            | op(e3,e0) != e1 )
          & op(e3,e1) = e0 )
        | ( ( e0 = unit
            | op(e3,e0) != e0 )
          & op(e3,e0) = e0 )
        | ( ( e0 = unit
            | op(e2,e0) != e4 )
          & op(e2,e4) = e0 )
        | ( ( e0 = unit
            | op(e2,e0) != e3 )
          & op(e2,e3) = e0 )
        | ( ( e0 = unit
            | op(e2,e0) != e2 )
          & op(e2,e2) = e0 )
        | ( ( e0 = unit
            | op(e2,e0) != e1 )
          & op(e2,e1) = e0 )
        | ( ( e0 = unit
            | op(e2,e0) != e0 )
          & op(e2,e0) = e0 )
        | ( ( e0 = unit
            | op(e1,e0) != e4 )
          & op(e1,e4) = e0 )
        | ( ( e0 = unit
            | op(e1,e0) != e3 )
          & op(e1,e3) = e0 )
        | ( ( e0 = unit
            | op(e1,e0) != e2 )
          & op(e1,e2) = e0 )
        | ( ( e0 = unit
            | op(e1,e0) != e1 )
          & op(e1,e1) = e0 )
        | ( ( e0 = unit
            | op(e1,e0) != e0 )
          & op(e1,e0) = e0 )
        | ( ( e0 = unit
            | op(e0,e0) != e4 )
          & op(e0,e4) = e0 )
        | ( ( e0 = unit
            | op(e0,e0) != e3 )
          & op(e0,e3) = e0 )
        | ( ( e0 = unit
            | op(e0,e0) != e2 )
          & op(e0,e2) = e0 )
        | ( ( e0 = unit
            | op(e0,e0) != e1 )
          & op(e0,e1) = e0 )
        | ( ( e0 = unit
            | op(e0,e0) != e0 )
          & op(e0,e0) = e0 ) ) ) ),
    inference(negpush_and_skolemize,[],[co1]) ).

fof(co1,conjecture,
    ( ( ( ( op(e0,e0) != e0
          | ( op(e0,e0) = e0
            & e0 != unit ) )
        & ( op(e0,e1) != e0
          | ( op(e0,e0) = e1
            & e0 != unit ) )
        & ( op(e0,e2) != e0
          | ( op(e0,e0) = e2
            & e0 != unit ) )
        & ( op(e0,e3) != e0
          | ( op(e0,e0) = e3
            & e0 != unit ) )
        & ( op(e0,e4) != e0
          | ( op(e0,e0) = e4
            & e0 != unit ) )
        & ( op(e1,e0) != e0
          | ( op(e1,e0) = e0
            & e0 != unit ) )
        & ( op(e1,e1) != e0
          | ( op(e1,e0) = e1
            & e0 != unit ) )
        & ( op(e1,e2) != e0
          | ( op(e1,e0) = e2
            & e0 != unit ) )
        & ( op(e1,e3) != e0
          | ( op(e1,e0) = e3
            & e0 != unit ) )
        & ( op(e1,e4) != e0
          | ( op(e1,e0) = e4
            & e0 != unit ) )
        & ( op(e2,e0) != e0
          | ( op(e2,e0) = e0
            & e0 != unit ) )
        & ( op(e2,e1) != e0
          | ( op(e2,e0) = e1
            & e0 != unit ) )
        & ( op(e2,e2) != e0
          | ( op(e2,e0) = e2
            & e0 != unit ) )
        & ( op(e2,e3) != e0
          | ( op(e2,e0) = e3
            & e0 != unit ) )
        & ( op(e2,e4) != e0
          | ( op(e2,e0) = e4
            & e0 != unit ) )
        & ( op(e3,e0) != e0
          | ( op(e3,e0) = e0
            & e0 != unit ) )
        & ( op(e3,e1) != e0
          | ( op(e3,e0) = e1
            & e0 != unit ) )
        & ( op(e3,e2) != e0
          | ( op(e3,e0) = e2
            & e0 != unit ) )
        & ( op(e3,e3) != e0
          | ( op(e3,e0) = e3
            & e0 != unit ) )
        & ( op(e3,e4) != e0
          | ( op(e3,e0) = e4
            & e0 != unit ) )
        & ( op(e4,e0) != e0
          | ( op(e4,e0) = e0
            & e0 != unit ) )
        & ( op(e4,e1) != e0
          | ( op(e4,e0) = e1
            & e0 != unit ) )
        & ( op(e4,e2) != e0
          | ( op(e4,e0) = e2
            & e0 != unit ) )
        & ( op(e4,e3) != e0
          | ( op(e4,e0) = e3
            & e0 != unit ) )
        & ( op(e4,e4) != e0
          | ( op(e4,e0) = e4
            & e0 != unit ) ) )
      | ( ( op(e0,e0) != e1
          | ( op(e0,e1) = e0
            & e1 != unit ) )
        & ( op(e0,e1) != e1
          | ( op(e0,e1) = e1
            & e1 != unit ) )
        & ( op(e0,e2) != e1
          | ( op(e0,e1) = e2
            & e1 != unit ) )
        & ( op(e0,e3) != e1
          | ( op(e0,e1) = e3
            & e1 != unit ) )
        & ( op(e0,e4) != e1
          | ( op(e0,e1) = e4
            & e1 != unit ) )
        & ( op(e1,e0) != e1
          | ( op(e1,e1) = e0
            & e1 != unit ) )
        & ( op(e1,e1) != e1
          | ( op(e1,e1) = e1
            & e1 != unit ) )
        & ( op(e1,e2) != e1
          | ( op(e1,e1) = e2
            & e1 != unit ) )
        & ( op(e1,e3) != e1
          | ( op(e1,e1) = e3
            & e1 != unit ) )
        & ( op(e1,e4) != e1
          | ( op(e1,e1) = e4
            & e1 != unit ) )
        & ( op(e2,e0) != e1
          | ( op(e2,e1) = e0
            & e1 != unit ) )
        & ( op(e2,e1) != e1
          | ( op(e2,e1) = e1
            & e1 != unit ) )
        & ( op(e2,e2) != e1
          | ( op(e2,e1) = e2
            & e1 != unit ) )
        & ( op(e2,e3) != e1
          | ( op(e2,e1) = e3
            & e1 != unit ) )
        & ( op(e2,e4) != e1
          | ( op(e2,e1) = e4
            & e1 != unit ) )
        & ( op(e3,e0) != e1
          | ( op(e3,e1) = e0
            & e1 != unit ) )
        & ( op(e3,e1) != e1
          | ( op(e3,e1) = e1
            & e1 != unit ) )
        & ( op(e3,e2) != e1
          | ( op(e3,e1) = e2
            & e1 != unit ) )
        & ( op(e3,e3) != e1
          | ( op(e3,e1) = e3
            & e1 != unit ) )
        & ( op(e3,e4) != e1
          | ( op(e3,e1) = e4
            & e1 != unit ) )
        & ( op(e4,e0) != e1
          | ( op(e4,e1) = e0
            & e1 != unit ) )
        & ( op(e4,e1) != e1
          | ( op(e4,e1) = e1
            & e1 != unit ) )
        & ( op(e4,e2) != e1
          | ( op(e4,e1) = e2
            & e1 != unit ) )
        & ( op(e4,e3) != e1
          | ( op(e4,e1) = e3
            & e1 != unit ) )
        & ( op(e4,e4) != e1
          | ( op(e4,e1) = e4
            & e1 != unit ) ) )
      | ( ( op(e0,e0) != e2
          | ( op(e0,e2) = e0
            & e2 != unit ) )
        & ( op(e0,e1) != e2
          | ( op(e0,e2) = e1
            & e2 != unit ) )
        & ( op(e0,e2) != e2
          | ( op(e0,e2) = e2
            & e2 != unit ) )
        & ( op(e0,e3) != e2
          | ( op(e0,e2) = e3
            & e2 != unit ) )
        & ( op(e0,e4) != e2
          | ( op(e0,e2) = e4
            & e2 != unit ) )
        & ( op(e1,e0) != e2
          | ( op(e1,e2) = e0
            & e2 != unit ) )
        & ( op(e1,e1) != e2
          | ( op(e1,e2) = e1
            & e2 != unit ) )
        & ( op(e1,e2) != e2
          | ( op(e1,e2) = e2
            & e2 != unit ) )
        & ( op(e1,e3) != e2
          | ( op(e1,e2) = e3
            & e2 != unit ) )
        & ( op(e1,e4) != e2
          | ( op(e1,e2) = e4
            & e2 != unit ) )
        & ( op(e2,e0) != e2
          | ( op(e2,e2) = e0
            & e2 != unit ) )
        & ( op(e2,e1) != e2
          | ( op(e2,e2) = e1
            & e2 != unit ) )
        & ( op(e2,e2) != e2
          | ( op(e2,e2) = e2
            & e2 != unit ) )
        & ( op(e2,e3) != e2
          | ( op(e2,e2) = e3
            & e2 != unit ) )
        & ( op(e2,e4) != e2
          | ( op(e2,e2) = e4
            & e2 != unit ) )
        & ( op(e3,e0) != e2
          | ( op(e3,e2) = e0
            & e2 != unit ) )
        & ( op(e3,e1) != e2
          | ( op(e3,e2) = e1
            & e2 != unit ) )
        & ( op(e3,e2) != e2
          | ( op(e3,e2) = e2
            & e2 != unit ) )
        & ( op(e3,e3) != e2
          | ( op(e3,e2) = e3
            & e2 != unit ) )
        & ( op(e3,e4) != e2
          | ( op(e3,e2) = e4
            & e2 != unit ) )
        & ( op(e4,e0) != e2
          | ( op(e4,e2) = e0
            & e2 != unit ) )
        & ( op(e4,e1) != e2
          | ( op(e4,e2) = e1
            & e2 != unit ) )
        & ( op(e4,e2) != e2
          | ( op(e4,e2) = e2
            & e2 != unit ) )
        & ( op(e4,e3) != e2
          | ( op(e4,e2) = e3
            & e2 != unit ) )
        & ( op(e4,e4) != e2
          | ( op(e4,e2) = e4
            & e2 != unit ) ) )
      | ( ( op(e0,e0) != e3
          | ( op(e0,e3) = e0
            & e3 != unit ) )
        & ( op(e0,e1) != e3
          | ( op(e0,e3) = e1
            & e3 != unit ) )
        & ( op(e0,e2) != e3
          | ( op(e0,e3) = e2
            & e3 != unit ) )
        & ( op(e0,e3) != e3
          | ( op(e0,e3) = e3
            & e3 != unit ) )
        & ( op(e0,e4) != e3
          | ( op(e0,e3) = e4
            & e3 != unit ) )
        & ( op(e1,e0) != e3
          | ( op(e1,e3) = e0
            & e3 != unit ) )
        & ( op(e1,e1) != e3
          | ( op(e1,e3) = e1
            & e3 != unit ) )
        & ( op(e1,e2) != e3
          | ( op(e1,e3) = e2
            & e3 != unit ) )
        & ( op(e1,e3) != e3
          | ( op(e1,e3) = e3
            & e3 != unit ) )
        & ( op(e1,e4) != e3
          | ( op(e1,e3) = e4
            & e3 != unit ) )
        & ( op(e2,e0) != e3
          | ( op(e2,e3) = e0
            & e3 != unit ) )
        & ( op(e2,e1) != e3
          | ( op(e2,e3) = e1
            & e3 != unit ) )
        & ( op(e2,e2) != e3
          | ( op(e2,e3) = e2
            & e3 != unit ) )
        & ( op(e2,e3) != e3
          | ( op(e2,e3) = e3
            & e3 != unit ) )
        & ( op(e2,e4) != e3
          | ( op(e2,e3) = e4
            & e3 != unit ) )
        & ( op(e3,e0) != e3
          | ( op(e3,e3) = e0
            & e3 != unit ) )
        & ( op(e3,e1) != e3
          | ( op(e3,e3) = e1
            & e3 != unit ) )
        & ( op(e3,e2) != e3
          | ( op(e3,e3) = e2
            & e3 != unit ) )
        & ( op(e3,e3) != e3
          | ( op(e3,e3) = e3
            & e3 != unit ) )
        & ( op(e3,e4) != e3
          | ( op(e3,e3) = e4
            & e3 != unit ) )
        & ( op(e4,e0) != e3
          | ( op(e4,e3) = e0
            & e3 != unit ) )
        & ( op(e4,e1) != e3
          | ( op(e4,e3) = e1
            & e3 != unit ) )
        & ( op(e4,e2) != e3
          | ( op(e4,e3) = e2
            & e3 != unit ) )
        & ( op(e4,e3) != e3
          | ( op(e4,e3) = e3
            & e3 != unit ) )
        & ( op(e4,e4) != e3
          | ( op(e4,e3) = e4
            & e3 != unit ) ) )
      | ( ( op(e0,e0) != e4
          | ( op(e0,e4) = e0
            & e4 != unit ) )
        & ( op(e0,e1) != e4
          | ( op(e0,e4) = e1
            & e4 != unit ) )
        & ( op(e0,e2) != e4
          | ( op(e0,e4) = e2
            & e4 != unit ) )
        & ( op(e0,e3) != e4
          | ( op(e0,e4) = e3
            & e4 != unit ) )
        & ( op(e0,e4) != e4
          | ( op(e0,e4) = e4
            & e4 != unit ) )
        & ( op(e1,e0) != e4
          | ( op(e1,e4) = e0
            & e4 != unit ) )
        & ( op(e1,e1) != e4
          | ( op(e1,e4) = e1
            & e4 != unit ) )
        & ( op(e1,e2) != e4
          | ( op(e1,e4) = e2
            & e4 != unit ) )
        & ( op(e1,e3) != e4
          | ( op(e1,e4) = e3
            & e4 != unit ) )
        & ( op(e1,e4) != e4
          | ( op(e1,e4) = e4
            & e4 != unit ) )
        & ( op(e2,e0) != e4
          | ( op(e2,e4) = e0
            & e4 != unit ) )
        & ( op(e2,e1) != e4
          | ( op(e2,e4) = e1
            & e4 != unit ) )
        & ( op(e2,e2) != e4
          | ( op(e2,e4) = e2
            & e4 != unit ) )
        & ( op(e2,e3) != e4
          | ( op(e2,e4) = e3
            & e4 != unit ) )
        & ( op(e2,e4) != e4
          | ( op(e2,e4) = e4
            & e4 != unit ) )
        & ( op(e3,e0) != e4
          | ( op(e3,e4) = e0
            & e4 != unit ) )
        & ( op(e3,e1) != e4
          | ( op(e3,e4) = e1
            & e4 != unit ) )
        & ( op(e3,e2) != e4
          | ( op(e3,e4) = e2
            & e4 != unit ) )
        & ( op(e3,e3) != e4
          | ( op(e3,e4) = e3
            & e4 != unit ) )
        & ( op(e3,e4) != e4
          | ( op(e3,e4) = e4
            & e4 != unit ) )
        & ( op(e4,e0) != e4
          | ( op(e4,e4) = e0
            & e4 != unit ) )
        & ( op(e4,e1) != e4
          | ( op(e4,e4) = e1
            & e4 != unit ) )
        & ( op(e4,e2) != e4
          | ( op(e4,e4) = e2
            & e4 != unit ) )
        & ( op(e4,e3) != e4
          | ( op(e4,e4) = e3
            & e4 != unit ) )
        & ( op(e4,e4) != e4
          | ( op(e4,e4) = e4
            & e4 != unit ) ) ) )
    & ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3
      | op(e0,e0) = e4 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3
      | op(e0,e1) = e4 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3
      | op(e0,e2) = e4 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3
      | op(e0,e3) = e4 )
    & ( op(e0,e4) = e0
      | op(e0,e4) = e1
      | op(e0,e4) = e2
      | op(e0,e4) = e3
      | op(e0,e4) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3
      | op(e1,e0) = e4 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3
      | op(e1,e1) = e4 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3
      | op(e1,e2) = e4 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3
      | op(e1,e3) = e4 )
    & ( op(e1,e4) = e0
      | op(e1,e4) = e1
      | op(e1,e4) = e2
      | op(e1,e4) = e3
      | op(e1,e4) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3
      | op(e2,e0) = e4 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3
      | op(e2,e1) = e4 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3
      | op(e2,e2) = e4 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3
      | op(e2,e3) = e4 )
    & ( op(e2,e4) = e0
      | op(e2,e4) = e1
      | op(e2,e4) = e2
      | op(e2,e4) = e3
      | op(e2,e4) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3
      | op(e3,e0) = e4 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3
      | op(e3,e1) = e4 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3
      | op(e3,e2) = e4 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3
      | op(e3,e3) = e4 )
    & ( op(e3,e4) = e0
      | op(e3,e4) = e1
      | op(e3,e4) = e2
      | op(e3,e4) = e3
      | op(e3,e4) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e0) = e1
      | op(e4,e0) = e2
      | op(e4,e0) = e3
      | op(e4,e0) = e4 )
    & ( op(e4,e1) = e0
      | op(e4,e1) = e1
      | op(e4,e1) = e2
      | op(e4,e1) = e3
      | op(e4,e1) = e4 )
    & ( op(e4,e2) = e0
      | op(e4,e2) = e1
      | op(e4,e2) = e2
      | op(e4,e2) = e3
      | op(e4,e2) = e4 )
    & ( op(e4,e3) = e0
      | op(e4,e3) = e1
      | op(e4,e3) = e2
      | op(e4,e3) = e3
      | op(e4,e3) = e4 )
    & ( op(e4,e4) = e0
      | op(e4,e4) = e1
      | op(e4,e4) = e2
      | op(e4,e4) = e3
      | op(e4,e4) = e4 )
    & op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & op(unit,e4) = e4
    & op(e4,unit) = e4
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3
      | unit = e4 )
    & ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0
      | op(e0,e4) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0
      | op(e4,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1
      | op(e0,e4) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1
      | op(e4,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2
      | op(e0,e4) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2
      | op(e4,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3
      | op(e0,e4) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3
      | op(e4,e0) = e3 )
    & ( op(e0,e0) = e4
      | op(e0,e1) = e4
      | op(e0,e2) = e4
      | op(e0,e3) = e4
      | op(e0,e4) = e4 )
    & ( op(e0,e0) = e4
      | op(e1,e0) = e4
      | op(e2,e0) = e4
      | op(e3,e0) = e4
      | op(e4,e0) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0
      | op(e1,e4) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0
      | op(e4,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1
      | op(e1,e4) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1
      | op(e4,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2
      | op(e1,e4) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2
      | op(e4,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3
      | op(e1,e4) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3
      | op(e4,e1) = e3 )
    & ( op(e1,e0) = e4
      | op(e1,e1) = e4
      | op(e1,e2) = e4
      | op(e1,e3) = e4
      | op(e1,e4) = e4 )
    & ( op(e0,e1) = e4
      | op(e1,e1) = e4
      | op(e2,e1) = e4
      | op(e3,e1) = e4
      | op(e4,e1) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0
      | op(e2,e4) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0
      | op(e4,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1
      | op(e2,e4) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1
      | op(e4,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2
      | op(e2,e4) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2
      | op(e4,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3
      | op(e2,e4) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3
      | op(e4,e2) = e3 )
    & ( op(e2,e0) = e4
      | op(e2,e1) = e4
      | op(e2,e2) = e4
      | op(e2,e3) = e4
      | op(e2,e4) = e4 )
    & ( op(e0,e2) = e4
      | op(e1,e2) = e4
      | op(e2,e2) = e4
      | op(e3,e2) = e4
      | op(e4,e2) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0
      | op(e3,e4) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0
      | op(e4,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1
      | op(e3,e4) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1
      | op(e4,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2
      | op(e3,e4) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2
      | op(e4,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3
      | op(e3,e4) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3
      | op(e4,e3) = e3 )
    & ( op(e3,e0) = e4
      | op(e3,e1) = e4
      | op(e3,e2) = e4
      | op(e3,e3) = e4
      | op(e3,e4) = e4 )
    & ( op(e0,e3) = e4
      | op(e1,e3) = e4
      | op(e2,e3) = e4
      | op(e3,e3) = e4
      | op(e4,e3) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e1) = e0
      | op(e4,e2) = e0
      | op(e4,e3) = e0
      | op(e4,e4) = e0 )
    & ( op(e0,e4) = e0
      | op(e1,e4) = e0
      | op(e2,e4) = e0
      | op(e3,e4) = e0
      | op(e4,e4) = e0 )
    & ( op(e4,e0) = e1
      | op(e4,e1) = e1
      | op(e4,e2) = e1
      | op(e4,e3) = e1
      | op(e4,e4) = e1 )
    & ( op(e0,e4) = e1
      | op(e1,e4) = e1
      | op(e2,e4) = e1
      | op(e3,e4) = e1
      | op(e4,e4) = e1 )
    & ( op(e4,e0) = e2
      | op(e4,e1) = e2
      | op(e4,e2) = e2
      | op(e4,e3) = e2
      | op(e4,e4) = e2 )
    & ( op(e0,e4) = e2
      | op(e1,e4) = e2
      | op(e2,e4) = e2
      | op(e3,e4) = e2
      | op(e4,e4) = e2 )
    & ( op(e4,e0) = e3
      | op(e4,e1) = e3
      | op(e4,e2) = e3
      | op(e4,e3) = e3
      | op(e4,e4) = e3 )
    & ( op(e0,e4) = e3
      | op(e1,e4) = e3
      | op(e2,e4) = e3
      | op(e3,e4) = e3
      | op(e4,e4) = e3 )
    & ( op(e4,e0) = e4
      | op(e4,e1) = e4
      | op(e4,e2) = e4
      | op(e4,e3) = e4
      | op(e4,e4) = e4 )
    & ( op(e0,e4) = e4
      | op(e1,e4) = e4
      | op(e2,e4) = e4
      | op(e3,e4) = e4
      | op(e4,e4) = e4 ) ),
    input ).

fof(ax3,axiom,
    unit = e0,
    input ).

fof('ax2_$sk',plain,
    ( op(e4,e4) = e2
    & op(e4,e3) = e1
    & op(e4,e2) = e0
    & op(e4,e1) = e3
    & op(e4,e0) = e4
    & op(e3,e4) = e0
    & op(e3,e3) = e4
    & op(e3,e2) = e1
    & op(e3,e1) = e2
    & op(e3,e0) = e3
    & op(e2,e4) = e1
    & op(e2,e3) = e0
    & op(e2,e2) = e3
    & op(e2,e1) = e4
    & op(e2,e0) = e2
    & op(e1,e4) = e3
    & op(e1,e3) = e2
    & op(e1,e2) = e4
    & op(e1,e1) = e0
    & op(e1,e0) = e1
    & op(e0,e4) = e4
    & op(e0,e3) = e3
    & op(e0,e2) = e2
    & op(e0,e1) = e1
    & op(e0,e0) = e0 ),
    inference(negpush_and_skolemize,[],[ax2]) ).

fof(ax2,axiom,
    ( op(e0,e0) = e0
    & op(e0,e1) = e1
    & op(e0,e2) = e2
    & op(e0,e3) = e3
    & op(e0,e4) = e4
    & op(e1,e0) = e1
    & op(e1,e1) = e0
    & op(e1,e2) = e4
    & op(e1,e3) = e2
    & op(e1,e4) = e3
    & op(e2,e0) = e2
    & op(e2,e1) = e4
    & op(e2,e2) = e3
    & op(e2,e3) = e0
    & op(e2,e4) = e1
    & op(e3,e0) = e3
    & op(e3,e1) = e2
    & op(e3,e2) = e1
    & op(e3,e3) = e4
    & op(e3,e4) = e0
    & op(e4,e0) = e4
    & op(e4,e1) = e3
    & op(e4,e2) = e0
    & op(e4,e3) = e1
    & op(e4,e4) = e2 ),
    input ).

fof('ax1_$sk',plain,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(negpush_and_skolemize,[],[ax1]) ).

fof(ax1,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    input ).

cnf('1',plain,
    ( e0 != unit
    | ~ $pr($df317)
    | $pr($df316)
    | $pr($df315) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('2',plain,
    unit = e0,
    inference(cnf_transformation,[],[ax3]) ).

cnf('3',plain,
    ( ~ $pr($df317)
    | $pr($df316)
    | $pr($df315) ),
    inference(simplify,[],['1','2']) ).

cnf('4',plain,
    ( e0 != unit
    | ~ $pr($df316) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('5',plain,
    ~ $pr($df316),
    inference(simplify,[],['4','2']) ).

cnf('6',plain,
    ( ~ $pr($df317)
    | $pr($df315) ),
    inference(resolution,[],['3','5']) ).

cnf('7',plain,
    ( e0 != unit
    | $pr($df318)
    | $pr($df316)
    | $pr($df315) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('8',plain,
    ( $pr($df318)
    | $pr($df316)
    | $pr($df315) ),
    inference(simplify,[],['7','2']) ).

cnf('9',plain,
    ( $pr($df318)
    | $pr($df315) ),
    inference(resolution,[],['8','5']) ).

cnf('10',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df315) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('11',plain,
    op(e0,e0) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('12',plain,
    op(e0,e0) = unit,
    inference(paramodulation,[],['2','11']) ).

cnf('13',plain,
    op(unit,unit) = unit,
    inference(simplify,[then_simplify],['12','2','2']) ).

cnf('14',plain,
    ~ $pr($df315),
    inference(simplify,[then_simplify],['10','2','2','13','2']) ).

cnf('15',plain,
    $pr($df318),
    inference(resolution,[],['9','14']) ).

cnf('16',plain,
    ( ~ $pr($df318)
    | ~ $pr($df315) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('17',plain,
    ~ $pr($df315),
    inference(resolution,[],['15','16']) ).

cnf('18',plain,
    ~ $pr($df317),
    inference(simplify,[],['6','17']) ).

cnf('19',plain,
    ( $pr($df320)
    | $pr($df317)
    | $pr($df314) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('20',plain,
    ( e0 != unit
    | ~ $pr($df320) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('21',plain,
    ~ $pr($df320),
    inference(simplify,[],['20','2']) ).

cnf('22',plain,
    ( $pr($df317)
    | $pr($df314) ),
    inference(resolution,[],['19','21']) ).

cnf('23',plain,
    $pr($df314),
    inference(resolution,[],['18','22']) ).

cnf('24',plain,
    ( ~ $pr($df325)
    | ~ $pr($df314)
    | $pr($df324)
    | $pr($df323) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('25',plain,
    ( e0 != unit
    | ~ $pr($df324) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('26',plain,
    ~ $pr($df324),
    inference(simplify,[],['25','2']) ).

cnf('27',plain,
    ( ~ $pr($df325)
    | ~ $pr($df314)
    | $pr($df323) ),
    inference(resolution,[],['24','26']) ).

cnf('28',plain,
    ( ~ $pr($df323)
    | ~ $pr($df314) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('29',plain,
    ( ~ $pr($df325)
    | ~ $pr($df314) ),
    inference(simplify,[],['27','28']) ).

cnf('30',plain,
    ~ $pr($df325),
    inference(resolution,[],['23','29']) ).

cnf('31',plain,
    ( $pr($df325)
    | $pr($df322)
    | $pr($df330) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('32',plain,
    ( e0 != unit
    | ~ $pr($df330) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('33',plain,
    ~ $pr($df330),
    inference(simplify,[],['32','2']) ).

cnf('34',plain,
    ( $pr($df325)
    | $pr($df322) ),
    inference(resolution,[],['31','33']) ).

cnf('35',plain,
    $pr($df322),
    inference(resolution,[],['30','34']) ).

cnf('36',plain,
    ( ~ $pr($df322)
    | ~ $pr($df335)
    | $pr($df334)
    | $pr($df333) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('37',plain,
    ( e0 != unit
    | ~ $pr($df334) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('38',plain,
    ~ $pr($df334),
    inference(simplify,[],['37','2']) ).

cnf('39',plain,
    ( ~ $pr($df322)
    | ~ $pr($df335)
    | $pr($df333) ),
    inference(resolution,[],['36','38']) ).

cnf('40',plain,
    ( ~ $pr($df322)
    | ~ $pr($df333) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('41',plain,
    ( ~ $pr($df322)
    | ~ $pr($df335) ),
    inference(simplify,[],['39','40']) ).

cnf('42',plain,
    ~ $pr($df335),
    inference(resolution,[],['35','41']) ).

cnf('43',plain,
    ( $pr($df340)
    | $pr($df335)
    | $pr($df332) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('44',plain,
    ( e0 != unit
    | ~ $pr($df340) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('45',plain,
    ~ $pr($df340),
    inference(simplify,[],['44','2']) ).

cnf('46',plain,
    ( $pr($df335)
    | $pr($df332) ),
    inference(resolution,[],['43','45']) ).

cnf('47',plain,
    $pr($df332),
    inference(resolution,[],['42','46']) ).

cnf('48',plain,
    ( ~ $pr($df345)
    | ~ $pr($df332)
    | $pr($df344)
    | $pr($df343) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('49',plain,
    ( e0 != unit
    | ~ $pr($df344) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('50',plain,
    ~ $pr($df344),
    inference(simplify,[],['49','2']) ).

cnf('51',plain,
    ( ~ $pr($df345)
    | ~ $pr($df332)
    | $pr($df343) ),
    inference(resolution,[],['48','50']) ).

cnf('52',plain,
    ( ~ $pr($df343)
    | ~ $pr($df332) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('53',plain,
    ( ~ $pr($df345)
    | ~ $pr($df332) ),
    inference(simplify,[],['51','52']) ).

cnf('54',plain,
    ~ $pr($df345),
    inference(resolution,[],['47','53']) ).

cnf('55',plain,
    ( $pr($df350)
    | $pr($df345)
    | $pr($df342) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('56',plain,
    ( e0 != unit
    | ~ $pr($df350) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('57',plain,
    ~ $pr($df350),
    inference(simplify,[],['56','2']) ).

cnf('58',plain,
    ( $pr($df345)
    | $pr($df342) ),
    inference(resolution,[],['55','57']) ).

cnf('59',plain,
    $pr($df342),
    inference(resolution,[],['54','58']) ).

cnf('60',plain,
    ( ~ $pr($df355)
    | ~ $pr($df342)
    | $pr($df354)
    | $pr($df353) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('61',plain,
    ( e0 != unit
    | ~ $pr($df354) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('62',plain,
    ~ $pr($df354),
    inference(simplify,[],['61','2']) ).

cnf('63',plain,
    ( ~ $pr($df355)
    | ~ $pr($df342)
    | $pr($df353) ),
    inference(resolution,[],['60','62']) ).

cnf('64',plain,
    ( ~ $pr($df353)
    | ~ $pr($df342) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('65',plain,
    ( ~ $pr($df355)
    | ~ $pr($df342) ),
    inference(simplify,[],['63','64']) ).

cnf('66',plain,
    ~ $pr($df355),
    inference(resolution,[],['59','65']) ).

cnf('67',plain,
    ( $pr($df360)
    | $pr($df355)
    | $pr($df352) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('68',plain,
    ( e0 != unit
    | ~ $pr($df360) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('69',plain,
    ~ $pr($df360),
    inference(simplify,[],['68','2']) ).

cnf('70',plain,
    ( $pr($df355)
    | $pr($df352) ),
    inference(resolution,[],['67','69']) ).

cnf('71',plain,
    $pr($df352),
    inference(resolution,[],['66','70']) ).

cnf('72',plain,
    ( ~ $pr($df363)
    | ~ $pr($df352) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('73',plain,
    ~ $pr($df363),
    inference(resolution,[],['71','72']) ).

cnf('74',plain,
    ( op(e3,e0) = e1
    | $pr($df369)
    | $pr($df364)
    | $pr($df363) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('75',plain,
    op(e3,e0) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('76',plain,
    op(e3,unit) = e3,
    inference(paramodulation,[],['2','75']) ).

cnf('77',plain,
    ( e3 = e1
    | $pr($df369)
    | $pr($df364)
    | $pr($df363) ),
    inference(simplify,[then_simplify],['74','2','76']) ).

cnf('78',plain,
    ( ~ $pr($df364)
    | ~ $pr($df352) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('79',plain,
    ~ $pr($df364),
    inference(resolution,[],['71','78']) ).

cnf('80',plain,
    ( e3 = e1
    | $pr($df369) ),
    inference(resolution,[then_simplify],['73','77','79']) ).

cnf('81',plain,
    e1 != e3,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('82',plain,
    $pr($df369),
    inference(paramodulation,[],['80','81']) ).

cnf('83',plain,
    ( op(e3,e0) != e1
    | ~ $pr($df369) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('84',plain,
    ( e3 != e1
    | ~ $pr($df369) ),
    inference(simplify,[then_simplify],['83','2','76']) ).

cnf('85',plain,
    e3 != e1,
    inference(resolution,[],['82','84']) ).

cnf('86',plain,
    ( ~ $pr($df244)
    | op(e0,e4) = e1
    | op(e0,e3) = e1
    | $pr($df236)
    | $pr($df235) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('87',plain,
    ( ~ $pr($df235)
    | op(e0,e2) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('88',plain,
    op(e0,e2) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('89',plain,
    op(unit,e2) = e2,
    inference(paramodulation,[],['2','88']) ).

cnf('90',plain,
    ( ~ $pr($df235)
    | e2 = e1 ),
    inference(simplify,[then_simplify],['87','2','89']) ).

cnf('91',plain,
    e1 != e2,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('92',plain,
    ~ $pr($df235),
    inference(paramodulation,[],['90','91']) ).

cnf('93',plain,
    op(e0,e4) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('94',plain,
    op(unit,e4) = e4,
    inference(paramodulation,[],['2','93']) ).

cnf('95',plain,
    op(e0,e3) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('96',plain,
    op(unit,e3) = e3,
    inference(paramodulation,[],['2','95']) ).

cnf('97',plain,
    ( ~ $pr($df244)
    | e4 = e1
    | e3 = e1
    | $pr($df236) ),
    inference(simplify,[then_simplify],['86','92','2','94','2','96']) ).

cnf('98',plain,
    ( op(e3,e3) = e1
    | $pr($df135)
    | $pr($df130)
    | $pr($df129) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('99',plain,
    ( ~ $pr($df130)
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('100',plain,
    op(e3,e3) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('101',plain,
    ( ~ $pr($df130)
    | e4 = unit ),
    inference(simplify,[then_simplify],['99','100','2']) ).

cnf('102',plain,
    e0 != e4,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('103',plain,
    unit != e4,
    inference(simplify,[],['102','2']) ).

cnf('104',plain,
    ~ $pr($df130),
    inference(paramodulation,[],['101','103']) ).

cnf('105',plain,
    ( e4 = e1
    | $pr($df135)
    | $pr($df129) ),
    inference(simplify,[then_simplify],['98','104','100']) ).

cnf('106',plain,
    e1 != e4,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('107',plain,
    ( $pr($df135)
    | $pr($df129) ),
    inference(paramodulation,[],['105','106']) ).

cnf('108',plain,
    ( ~ $pr($df126)
    | op(e2,e3) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('109',plain,
    op(e2,e3) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('110',plain,
    ( ~ $pr($df126)
    | unit = e2 ),
    inference(simplify,[then_simplify],['108','109','2']) ).

cnf('111',plain,
    e0 != e2,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('112',plain,
    unit != e2,
    inference(simplify,[],['111','2']) ).

cnf('113',plain,
    ~ $pr($df126),
    inference(resolution,[],['110','112']) ).

cnf('114',plain,
    ( $pr($df126)
    | $pr($df121)
    | $pr($df118) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('115',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df121)
    | $pr($df120)
    | $pr($df119) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('116',plain,
    ( ~ $pr($df120)
    | op(e2,e3) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('117',plain,
    ( ~ $pr($df120)
    | unit = e2 ),
    inference(simplify,[then_simplify],['116','109','2']) ).

cnf('118',plain,
    ~ $pr($df120),
    inference(resolution,[],['117','112']) ).

cnf('119',plain,
    op(e2,e2) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('120',plain,
    ( ~ $pr($df121)
    | $pr($df119) ),
    inference(simplify,[then_simplify],['115','118','119']) ).

cnf('121',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df119) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('122',plain,
    ~ $pr($df119),
    inference(simplify,[],['121','119']) ).

cnf('123',plain,
    ~ $pr($df121),
    inference(resolution,[],['120','122']) ).

cnf('124',plain,
    $pr($df118),
    inference(resolution,[then_simplify],['113','114','123']) ).

cnf('125',plain,
    ( ~ $pr($df129)
    | ~ $pr($df118) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('126',plain,
    ~ $pr($df129),
    inference(resolution,[],['124','125']) ).

cnf('127',plain,
    $pr($df135),
    inference(simplify,[],['107','126']) ).

cnf('128',plain,
    ( op(e3,e3) != e1
    | ~ $pr($df135) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('129',plain,
    ( e4 != e1
    | ~ $pr($df135) ),
    inference(simplify,[],['128','100']) ).

cnf('130',plain,
    e4 != e1,
    inference(resolution,[],['127','129']) ).

cnf('131',plain,
    ( ~ $pr($df244)
    | $pr($df236) ),
    inference(resolution,[then_simplify],['85','97','130']) ).

cnf('132',plain,
    ( op(e0,e4) = e1
    | op(e0,e3) = e1
    | $pr($df245)
    | $pr($df236)
    | $pr($df235) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('133',plain,
    ( e4 = e1
    | e3 = e1
    | $pr($df245)
    | $pr($df236) ),
    inference(simplify,[then_simplify],['132','92','2','94','2','96']) ).

cnf('134',plain,
    ( $pr($df245)
    | $pr($df236) ),
    inference(resolution,[then_simplify],['85','133','130']) ).

cnf('135',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df236)
    | op(e0,e0) = e1
    | e1 = unit ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('136',plain,
    e0 != e1,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('137',plain,
    unit != e1,
    inference(paramodulation,[],['2','136']) ).

cnf('138',plain,
    ( e1 != unit
    | $pr($df240)
    | $pr($df238)
    | $pr($df237) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('139',plain,
    ( ~ $pr($df240)
    | e1 = unit ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('140',plain,
    unit != e1,
    inference(paramodulation,[],['2','136']) ).

cnf('141',plain,
    ~ $pr($df240),
    inference(paramodulation,[],['139','140']) ).

cnf('142',plain,
    ( e1 != unit
    | $pr($df238)
    | $pr($df237) ),
    inference(simplify,[],['138','141']) ).

cnf('143',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df237) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('144',plain,
    op(e0,e1) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('145',plain,
    op(unit,e1) = e1,
    inference(paramodulation,[],['2','144']) ).

cnf('146',plain,
    ~ $pr($df237),
    inference(simplify,[then_simplify],['143','2','145']) ).

cnf('147',plain,
    ( e1 != unit
    | $pr($df238) ),
    inference(resolution,[],['142','146']) ).

cnf('148',plain,
    ( e1 != unit
    | ~ $pr($df238) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('149',plain,
    e1 != unit,
    inference(simplify,[],['147','148']) ).

cnf('150',plain,
    ~ $pr($df236),
    inference(simplify,[then_simplify],['135','137','149','2','145','2','2','13']) ).

cnf('151',plain,
    ( ~ $pr($df249)
    | $pr($df236) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('152',plain,
    ~ $pr($df249),
    inference(resolution,[],['150','151']) ).

cnf('153',plain,
    ( ~ $pr($df236)
    | $pr($df249)
    | $pr($df246)
    | $pr($df245) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('154',plain,
    ( ~ $pr($df236)
    | $pr($df246)
    | $pr($df245) ),
    inference(resolution,[],['152','153']) ).

cnf('155',plain,
    ( ~ $pr($df246)
    | ~ $pr($df236) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('156',plain,
    ( ~ $pr($df236)
    | $pr($df245) ),
    inference(simplify,[],['154','155']) ).

cnf('157',plain,
    $pr($df245),
    inference(simplify,[],['134','156']) ).

cnf('158',plain,
    ( ~ $pr($df245)
    | ~ $pr($df236) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('159',plain,
    ~ $pr($df236),
    inference(resolution,[],['157','158']) ).

cnf('160',plain,
    ~ $pr($df244),
    inference(simplify,[],['131','159']) ).

cnf('161',plain,
    ( op(e1,e2) = e1
    | op(e1,e1) = e1
    | $pr($df255)
    | $pr($df244)
    | $pr($df243) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('162',plain,
    op(e1,e2) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('163',plain,
    op(e1,e1) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('164',plain,
    ( e4 = e1
    | $pr($df255)
    | $pr($df244)
    | $pr($df243) ),
    inference(simplify,[then_simplify],['161','137','162','163','2']) ).

cnf('165',plain,
    ( $pr($df255)
    | $pr($df243) ),
    inference(resolution,[then_simplify],['160','164','130']) ).

cnf('166',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df243)
    | e1 = unit ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('167',plain,
    ~ $pr($df243),
    inference(simplify,[then_simplify],['166','149','163','2','2']) ).

cnf('168',plain,
    ( ~ $pr($df258)
    | $pr($df243) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('169',plain,
    ~ $pr($df258),
    inference(resolution,[],['167','168']) ).

cnf('170',plain,
    ( ~ $pr($df243)
    | $pr($df258)
    | $pr($df256)
    | $pr($df255) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('171',plain,
    ( ~ $pr($df243)
    | $pr($df256)
    | $pr($df255) ),
    inference(resolution,[],['169','170']) ).

cnf('172',plain,
    ( ~ $pr($df256)
    | ~ $pr($df243) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('173',plain,
    ( ~ $pr($df243)
    | $pr($df255) ),
    inference(simplify,[],['171','172']) ).

cnf('174',plain,
    $pr($df255),
    inference(simplify,[],['165','173']) ).

cnf('175',plain,
    ( ~ $pr($df255)
    | ~ $pr($df243) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('176',plain,
    ( ~ $pr($df254)
    | op(e1,e2) = e1
    | op(e1,e1) = e1
    | $pr($df244)
    | $pr($df243) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('177',plain,
    ( ~ $pr($df254)
    | e4 = e1
    | $pr($df244)
    | $pr($df243) ),
    inference(simplify,[then_simplify],['176','137','162','163','2']) ).

cnf('178',plain,
    ( ~ $pr($df264)
    | op(e1,e4) = e1
    | op(e2,e0) = e1
    | $pr($df254)
    | $pr($df253) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('179',plain,
    ( op(e1,e3) != e1
    | op(e1,e1) = e3
    | $pr($df253) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('180',plain,
    ( ~ $pr($df253)
    | op(e1,e3) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('181',plain,
    op(e1,e3) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('182',plain,
    ( ~ $pr($df253)
    | e2 = e1 ),
    inference(simplify,[],['180','181']) ).

cnf('183',plain,
    ~ $pr($df253),
    inference(paramodulation,[],['182','91']) ).

cnf('184',plain,
    ( e2 != e1
    | unit = e3 ),
    inference(simplify,[then_simplify],['179','183','181','163','2']) ).

cnf('185',plain,
    e0 != e3,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('186',plain,
    unit != e3,
    inference(simplify,[],['185','2']) ).

cnf('187',plain,
    e2 != e1,
    inference(resolution,[],['184','186']) ).

cnf('188',plain,
    op(e1,e4) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('189',plain,
    op(e2,e0) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('190',plain,
    op(e2,unit) = e2,
    inference(paramodulation,[],['2','189']) ).

cnf('191',plain,
    ( ~ $pr($df264)
    | e3 = e1
    | $pr($df254) ),
    inference(simplify,[then_simplify],['178','187','183','188','2','190']) ).

cnf('192',plain,
    ( ~ $pr($df274)
    | op(e2,e3) = e1
    | op(e2,e2) = e1
    | $pr($df264)
    | $pr($df263) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('193',plain,
    ( ~ $pr($df263)
    | op(e2,e1) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('194',plain,
    op(e2,e1) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('195',plain,
    ( ~ $pr($df263)
    | e4 = e1 ),
    inference(simplify,[],['193','194']) ).

cnf('196',plain,
    ~ $pr($df263),
    inference(paramodulation,[],['195','106']) ).

cnf('197',plain,
    ( ~ $pr($df274)
    | e3 = e1
    | $pr($df264) ),
    inference(simplify,[then_simplify],['192','137','196','109','2','119']) ).

cnf('198',plain,
    ( ~ $pr($df284)
    | op(e3,e1) = e1
    | op(e3,e0) = e1
    | $pr($df274)
    | $pr($df273) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('199',plain,
    op(e3,e1) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('200',plain,
    ( ~ $pr($df284)
    | e3 = e1
    | $pr($df274)
    | $pr($df273) ),
    inference(simplify,[then_simplify],['198','187','199','2','76']) ).

cnf('201',plain,
    ( op(unit,e4) != e4
    | op(e4,unit) != e4
    | op(unit,e3) != e3
    | op(e3,unit) != e3
    | op(unit,e2) != e2
    | op(e2,unit) != e2
    | op(unit,e1) != e1
    | op(e1,unit) != e1
    | op(unit,e0) != e0
    | op(e0,unit) != e0
    | unit != e0
    | ~ $pr($df500)
    | $pr($df492)
    | $pr($df491) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('202',plain,
    op(e4,e0) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('203',plain,
    op(e4,unit) = e4,
    inference(paramodulation,[],['2','202']) ).

cnf('204',plain,
    op(e1,e0) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('205',plain,
    op(e1,unit) = e1,
    inference(paramodulation,[],['2','204']) ).

cnf('206',plain,
    ( ~ $pr($df500)
    | $pr($df492)
    | $pr($df491) ),
    inference(simplify,[then_simplify],['201','94','203','96','76','89','190','145','205','2','13','2','2','13','2','2']) ).

cnf('207',plain,
    ( op(e4,e4) != e2
    | ~ $pr($df491) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('208',plain,
    op(e4,e4) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('209',plain,
    ~ $pr($df491),
    inference(simplify,[],['207','208']) ).

cnf('210',plain,
    ( ~ $pr($df500)
    | $pr($df492) ),
    inference(resolution,[],['206','209']) ).

cnf('211',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df600)
    | $pr($df592)
    | $pr($df591) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('212',plain,
    ( ~ $pr($df600)
    | $pr($df592)
    | $pr($df591) ),
    inference(simplify,[],['211','194']) ).

cnf('213',plain,
    ( op(e1,e2) != e4
    | ~ $pr($df591) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('214',plain,
    ~ $pr($df591),
    inference(simplify,[],['213','162']) ).

cnf('215',plain,
    ( ~ $pr($df600)
    | $pr($df592) ),
    inference(resolution,[],['212','214']) ).

cnf('216',plain,
    ( op(e0,e2) != e2
    | ~ $pr($df624)
    | $pr($df616)
    | $pr($df615) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('217',plain,
    ( ~ $pr($df624)
    | $pr($df616)
    | $pr($df615) ),
    inference(simplify,[then_simplify],['216','2','89']) ).

cnf('218',plain,
    ( op(e2,e0) != e2
    | ~ $pr($df615) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('219',plain,
    ~ $pr($df615),
    inference(simplify,[then_simplify],['218','2','190']) ).

cnf('220',plain,
    ( ~ $pr($df624)
    | $pr($df616) ),
    inference(resolution,[],['217','219']) ).

cnf('221',plain,
    ( op(e4,e3) != e1
    | ~ $pr($df656)
    | $pr($df648)
    | $pr($df647) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('222',plain,
    op(e4,e3) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('223',plain,
    ( ~ $pr($df656)
    | $pr($df648)
    | $pr($df647) ),
    inference(simplify,[],['221','222']) ).

cnf('224',plain,
    ( op(e3,e2) != e1
    | ~ $pr($df647) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('225',plain,
    op(e3,e2) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('226',plain,
    ~ $pr($df647),
    inference(simplify,[],['224','225']) ).

cnf('227',plain,
    ( ~ $pr($df656)
    | $pr($df648) ),
    inference(resolution,[],['223','226']) ).

cnf('228',plain,
    ( op(e2,e4) != e1
    | ~ $pr($df696)
    | $pr($df688)
    | $pr($df687) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('229',plain,
    op(e2,e4) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('230',plain,
    ( ~ $pr($df696)
    | $pr($df688)
    | $pr($df687) ),
    inference(simplify,[],['228','229']) ).

cnf('231',plain,
    ( op(e4,e3) != e1
    | ~ $pr($df687) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('232',plain,
    ~ $pr($df687),
    inference(simplify,[],['231','222']) ).

cnf('233',plain,
    ( ~ $pr($df696)
    | $pr($df688) ),
    inference(resolution,[],['230','232']) ).

cnf('234',plain,
    ( op(e4,e4) != e2
    | ~ $pr($df704)
    | $pr($df696)
    | $pr($df695) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('235',plain,
    ( ~ $pr($df704)
    | $pr($df696)
    | $pr($df695) ),
    inference(simplify,[],['234','208']) ).

cnf('236',plain,
    ( op(e4,e4) != e2
    | ~ $pr($df695) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('237',plain,
    ~ $pr($df695),
    inference(simplify,[],['236','208']) ).

cnf('238',plain,
    ( ~ $pr($df704)
    | $pr($df696) ),
    inference(resolution,[],['235','237']) ).

cnf('239',plain,
    ( op(e1,e4) != e3
    | ~ $pr($df712)
    | $pr($df704)
    | $pr($df703) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('240',plain,
    ( op(e0,e4) != e4
    | $pr($df712)
    | $pr($df711) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('241',plain,
    ( $pr($df712)
    | $pr($df711) ),
    inference(simplify,[then_simplify],['240','2','94']) ).

cnf('242',plain,
    ( op(e4,e0) != e4
    | ~ $pr($df711) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('243',plain,
    ~ $pr($df711),
    inference(simplify,[then_simplify],['242','2','203']) ).

cnf('244',plain,
    $pr($df712),
    inference(resolution,[],['241','243']) ).

cnf('245',plain,
    ( $pr($df704)
    | $pr($df703) ),
    inference(simplify,[then_simplify],['239','244','188']) ).

cnf('246',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df703) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('247',plain,
    op(e4,e1) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('248',plain,
    ~ $pr($df703),
    inference(simplify,[],['246','247']) ).

cnf('249',plain,
    $pr($df704),
    inference(resolution,[],['245','248']) ).

cnf('250',plain,
    $pr($df696),
    inference(simplify,[],['238','249']) ).

cnf('251',plain,
    ( ~ $pr($df696)
    | $pr($df709)
    | $pr($df706)
    | $pr($df705) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('252',plain,
    ( ~ $pr($df706)
    | op(e1,e4) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('253',plain,
    ( ~ $pr($df706)
    | e3 = e2 ),
    inference(simplify,[],['252','188']) ).

cnf('254',plain,
    e2 != e3,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('255',plain,
    ~ $pr($df706),
    inference(paramodulation,[],['253','254']) ).

cnf('256',plain,
    ( ~ $pr($df705)
    | op(e0,e4) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('257',plain,
    ( ~ $pr($df705)
    | e4 = e2 ),
    inference(simplify,[then_simplify],['256','2','94']) ).

cnf('258',plain,
    e2 != e4,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('259',plain,
    ~ $pr($df705),
    inference(paramodulation,[],['257','258']) ).

cnf('260',plain,
    ( ~ $pr($df696)
    | $pr($df709) ),
    inference(simplify,[then_simplify],['251','255','259']) ).

cnf('261',plain,
    $pr($df709),
    inference(resolution,[],['250','260']) ).

cnf('262',plain,
    ( ~ $pr($df709)
    | $pr($df696) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('263',plain,
    $pr($df696),
    inference(resolution,[],['261','262']) ).

cnf('264',plain,
    $pr($df688),
    inference(simplify,[],['233','263']) ).

cnf('265',plain,
    ( op(e3,e4) != e0
    | ~ $pr($df688)
    | $pr($df680)
    | $pr($df679) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('266',plain,
    op(e3,e4) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('267',plain,
    ( ~ $pr($df688)
    | $pr($df680)
    | $pr($df679) ),
    inference(simplify,[then_simplify],['265','266','2','2']) ).

cnf('268',plain,
    ( op(e4,e2) != e0
    | ~ $pr($df679) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('269',plain,
    op(e4,e2) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('270',plain,
    ~ $pr($df679),
    inference(simplify,[then_simplify],['268','269','2','2']) ).

cnf('271',plain,
    ( ~ $pr($df688)
    | $pr($df680) ),
    inference(resolution,[],['267','270']) ).

cnf('272',plain,
    $pr($df680),
    inference(resolution,[],['264','271']) ).

cnf('273',plain,
    ( op(e3,e3) != e4
    | ~ $pr($df680)
    | $pr($df672)
    | $pr($df671) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('274',plain,
    ( ~ $pr($df680)
    | $pr($df672)
    | $pr($df671) ),
    inference(simplify,[],['273','100']) ).

cnf('275',plain,
    ( op(e3,e3) != e4
    | ~ $pr($df671) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('276',plain,
    ~ $pr($df671),
    inference(simplify,[],['275','100']) ).

cnf('277',plain,
    ( ~ $pr($df680)
    | $pr($df672) ),
    inference(resolution,[],['274','276']) ).

cnf('278',plain,
    $pr($df672),
    inference(resolution,[],['272','277']) ).

cnf('279',plain,
    ( op(e0,e3) != e3
    | ~ $pr($df672)
    | $pr($df664)
    | $pr($df663) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('280',plain,
    ( ~ $pr($df672)
    | $pr($df664)
    | $pr($df663) ),
    inference(simplify,[then_simplify],['279','2','96']) ).

cnf('281',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df663) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('282',plain,
    ~ $pr($df663),
    inference(simplify,[then_simplify],['281','2','76']) ).

cnf('283',plain,
    ( ~ $pr($df672)
    | $pr($df664) ),
    inference(resolution,[],['280','282']) ).

cnf('284',plain,
    $pr($df664),
    inference(resolution,[],['278','283']) ).

cnf('285',plain,
    ( op(e1,e3) != e2
    | ~ $pr($df664)
    | $pr($df656)
    | $pr($df655) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('286',plain,
    ( ~ $pr($df664)
    | $pr($df656)
    | $pr($df655) ),
    inference(simplify,[],['285','181']) ).

cnf('287',plain,
    ( op(e3,e1) != e2
    | ~ $pr($df655) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('288',plain,
    ~ $pr($df655),
    inference(simplify,[],['287','199']) ).

cnf('289',plain,
    ( ~ $pr($df664)
    | $pr($df656) ),
    inference(resolution,[],['286','288']) ).

cnf('290',plain,
    $pr($df656),
    inference(resolution,[],['284','289']) ).

cnf('291',plain,
    $pr($df648),
    inference(simplify,[],['227','290']) ).

cnf('292',plain,
    ( op(e2,e3) != e0
    | ~ $pr($df648)
    | $pr($df639)
    | $pr($df640) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('293',plain,
    ( ~ $pr($df648)
    | $pr($df639)
    | $pr($df640) ),
    inference(simplify,[then_simplify],['292','109','2','2']) ).

cnf('294',plain,
    ( op(e3,e4) != e0
    | ~ $pr($df639) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('295',plain,
    ~ $pr($df639),
    inference(simplify,[then_simplify],['294','266','2','2']) ).

cnf('296',plain,
    ( ~ $pr($df648)
    | $pr($df640) ),
    inference(resolution,[],['293','295']) ).

cnf('297',plain,
    $pr($df640),
    inference(resolution,[],['291','296']) ).

cnf('298',plain,
    ( op(e1,e2) != e4
    | ~ $pr($df640)
    | $pr($df632)
    | $pr($df631) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('299',plain,
    ( ~ $pr($df640)
    | $pr($df632)
    | $pr($df631) ),
    inference(simplify,[],['298','162']) ).

cnf('300',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df631) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('301',plain,
    ~ $pr($df631),
    inference(simplify,[],['300','194']) ).

cnf('302',plain,
    ( ~ $pr($df640)
    | $pr($df632) ),
    inference(resolution,[],['299','301']) ).

cnf('303',plain,
    $pr($df632),
    inference(resolution,[],['297','302']) ).

cnf('304',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df632)
    | $pr($df624)
    | $pr($df623) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('305',plain,
    ( ~ $pr($df632)
    | $pr($df624)
    | $pr($df623) ),
    inference(simplify,[],['304','119']) ).

cnf('306',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df623) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('307',plain,
    ~ $pr($df623),
    inference(simplify,[],['306','119']) ).

cnf('308',plain,
    ( ~ $pr($df632)
    | $pr($df624) ),
    inference(resolution,[],['305','307']) ).

cnf('309',plain,
    $pr($df624),
    inference(resolution,[],['303','308']) ).

cnf('310',plain,
    $pr($df616),
    inference(simplify,[],['220','309']) ).

cnf('311',plain,
    ( op(e3,e2) != e1
    | ~ $pr($df616)
    | $pr($df608)
    | $pr($df607) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('312',plain,
    ( ~ $pr($df616)
    | $pr($df608)
    | $pr($df607) ),
    inference(simplify,[],['311','225']) ).

cnf('313',plain,
    ( op(e2,e4) != e1
    | ~ $pr($df607) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('314',plain,
    ~ $pr($df607),
    inference(simplify,[],['313','229']) ).

cnf('315',plain,
    ( ~ $pr($df616)
    | $pr($df608) ),
    inference(resolution,[],['312','314']) ).

cnf('316',plain,
    $pr($df608),
    inference(resolution,[],['310','315']) ).

cnf('317',plain,
    ( op(e4,e2) != e0
    | ~ $pr($df608)
    | $pr($df599)
    | $pr($df600) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('318',plain,
    ( ~ $pr($df608)
    | $pr($df599)
    | $pr($df600) ),
    inference(simplify,[then_simplify],['317','269','2','2']) ).

cnf('319',plain,
    ( op(e2,e3) != e0
    | ~ $pr($df599) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('320',plain,
    ~ $pr($df599),
    inference(simplify,[then_simplify],['319','109','2','2']) ).

cnf('321',plain,
    ( ~ $pr($df608)
    | $pr($df600) ),
    inference(resolution,[],['318','320']) ).

cnf('322',plain,
    $pr($df600),
    inference(resolution,[],['316','321']) ).

cnf('323',plain,
    $pr($df592),
    inference(simplify,[],['215','322']) ).

cnf('324',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df592)
    | $pr($df584)
    | $pr($df583) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('325',plain,
    ( ~ $pr($df592)
    | $pr($df584)
    | $pr($df583) ),
    inference(simplify,[],['324','247']) ).

cnf('326',plain,
    ( op(e1,e4) != e3
    | ~ $pr($df583) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('327',plain,
    ~ $pr($df583),
    inference(simplify,[],['326','188']) ).

cnf('328',plain,
    ( ~ $pr($df592)
    | $pr($df584) ),
    inference(resolution,[],['325','327']) ).

cnf('329',plain,
    $pr($df584),
    inference(resolution,[],['323','328']) ).

cnf('330',plain,
    ( op(e3,e1) != e2
    | ~ $pr($df584)
    | $pr($df576)
    | $pr($df575) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('331',plain,
    ( ~ $pr($df584)
    | $pr($df576)
    | $pr($df575) ),
    inference(simplify,[],['330','199']) ).

cnf('332',plain,
    ( op(e1,e3) != e2
    | ~ $pr($df575) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('333',plain,
    ~ $pr($df575),
    inference(simplify,[],['332','181']) ).

cnf('334',plain,
    ( ~ $pr($df584)
    | $pr($df576) ),
    inference(resolution,[],['331','333']) ).

cnf('335',plain,
    $pr($df576),
    inference(resolution,[],['329','334']) ).

cnf('336',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df576)
    | $pr($df568)
    | $pr($df567) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('337',plain,
    ( ~ $pr($df576)
    | $pr($df568)
    | $pr($df567) ),
    inference(simplify,[then_simplify],['336','2','145']) ).

cnf('338',plain,
    ( op(e1,e0) != e1
    | ~ $pr($df567) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('339',plain,
    ~ $pr($df567),
    inference(simplify,[then_simplify],['338','2','205']) ).

cnf('340',plain,
    ( ~ $pr($df576)
    | $pr($df568) ),
    inference(resolution,[],['337','339']) ).

cnf('341',plain,
    $pr($df568),
    inference(resolution,[],['335','340']) ).

cnf('342',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df568)
    | $pr($df559)
    | $pr($df560) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('343',plain,
    ( ~ $pr($df568)
    | $pr($df559)
    | $pr($df560) ),
    inference(simplify,[then_simplify],['342','163','2','2']) ).

cnf('344',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df559) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('345',plain,
    ~ $pr($df559),
    inference(simplify,[then_simplify],['344','163','2','2']) ).

cnf('346',plain,
    ( ~ $pr($df568)
    | $pr($df560) ),
    inference(resolution,[],['343','345']) ).

cnf('347',plain,
    $pr($df560),
    inference(resolution,[],['341','346']) ).

cnf('348',plain,
    ( op(e4,e0) != e4
    | ~ $pr($df560)
    | $pr($df552)
    | $pr($df551) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('349',plain,
    ( ~ $pr($df560)
    | $pr($df552)
    | $pr($df551) ),
    inference(simplify,[then_simplify],['348','2','203']) ).

cnf('350',plain,
    ( op(e0,e4) != e4
    | ~ $pr($df551) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('351',plain,
    ~ $pr($df551),
    inference(simplify,[then_simplify],['350','2','94']) ).

cnf('352',plain,
    ( ~ $pr($df560)
    | $pr($df552) ),
    inference(resolution,[],['349','351']) ).

cnf('353',plain,
    $pr($df552),
    inference(resolution,[],['347','352']) ).

cnf('354',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df552)
    | $pr($df544)
    | $pr($df543) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('355',plain,
    ( ~ $pr($df552)
    | $pr($df544)
    | $pr($df543) ),
    inference(simplify,[then_simplify],['354','2','76']) ).

cnf('356',plain,
    ( op(e0,e3) != e3
    | ~ $pr($df543) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('357',plain,
    ~ $pr($df543),
    inference(simplify,[then_simplify],['356','2','96']) ).

cnf('358',plain,
    ( ~ $pr($df552)
    | $pr($df544) ),
    inference(resolution,[],['355','357']) ).

cnf('359',plain,
    $pr($df544),
    inference(resolution,[],['353','358']) ).

cnf('360',plain,
    ( op(e2,e0) != e2
    | ~ $pr($df544)
    | $pr($df536)
    | $pr($df535) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('361',plain,
    ( ~ $pr($df544)
    | $pr($df536)
    | $pr($df535) ),
    inference(simplify,[then_simplify],['360','2','190']) ).

cnf('362',plain,
    ( op(e0,e2) != e2
    | ~ $pr($df535) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('363',plain,
    ~ $pr($df535),
    inference(simplify,[then_simplify],['362','2','89']) ).

cnf('364',plain,
    ( ~ $pr($df544)
    | $pr($df536) ),
    inference(resolution,[],['361','363']) ).

cnf('365',plain,
    $pr($df536),
    inference(resolution,[],['359','364']) ).

cnf('366',plain,
    ( op(e1,e0) != e1
    | ~ $pr($df536)
    | $pr($df528)
    | $pr($df527) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('367',plain,
    ( ~ $pr($df536)
    | $pr($df528)
    | $pr($df527) ),
    inference(simplify,[then_simplify],['366','2','205']) ).

cnf('368',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df527) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('369',plain,
    ~ $pr($df527),
    inference(simplify,[then_simplify],['368','2','145']) ).

cnf('370',plain,
    ( ~ $pr($df536)
    | $pr($df528) ),
    inference(resolution,[],['367','369']) ).

cnf('371',plain,
    $pr($df528),
    inference(resolution,[],['365','370']) ).

cnf('372',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df528)
    | $pr($df500)
    | $pr($df499) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('373',plain,
    ( ~ $pr($df528)
    | $pr($df500)
    | $pr($df499) ),
    inference(simplify,[then_simplify],['372','2','2','13','2']) ).

cnf('374',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df499) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('375',plain,
    ~ $pr($df499),
    inference(simplify,[then_simplify],['374','2','2','13','2']) ).

cnf('376',plain,
    ( ~ $pr($df528)
    | $pr($df500) ),
    inference(resolution,[],['373','375']) ).

cnf('377',plain,
    $pr($df500),
    inference(resolution,[],['371','376']) ).

cnf('378',plain,
    $pr($df492),
    inference(simplify,[],['210','377']) ).

cnf('379',plain,
    ( op(e4,e3) != e1
    | ~ $pr($df492)
    | $pr($df484)
    | $pr($df483) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('380',plain,
    ( ~ $pr($df492)
    | $pr($df484)
    | $pr($df483) ),
    inference(simplify,[],['379','222']) ).

cnf('381',plain,
    ( op(e4,e2) != e0
    | ~ $pr($df483) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('382',plain,
    ~ $pr($df483),
    inference(simplify,[then_simplify],['381','269','2','2']) ).

cnf('383',plain,
    ( ~ $pr($df492)
    | $pr($df484) ),
    inference(resolution,[],['380','382']) ).

cnf('384',plain,
    $pr($df484),
    inference(resolution,[],['378','383']) ).

cnf('385',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df484)
    | $pr($df476)
    | $pr($df475) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('386',plain,
    ( ~ $pr($df484)
    | $pr($df476)
    | $pr($df475) ),
    inference(simplify,[],['385','247']) ).

cnf('387',plain,
    ( op(e4,e0) != e4
    | ~ $pr($df475) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('388',plain,
    ~ $pr($df475),
    inference(simplify,[then_simplify],['387','2','203']) ).

cnf('389',plain,
    ( ~ $pr($df484)
    | $pr($df476) ),
    inference(resolution,[],['386','388']) ).

cnf('390',plain,
    $pr($df476),
    inference(resolution,[],['384','389']) ).

cnf('391',plain,
    ( op(e3,e4) != e0
    | ~ $pr($df476)
    | $pr($df468)
    | $pr($df467) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('392',plain,
    ( ~ $pr($df476)
    | $pr($df468)
    | $pr($df467) ),
    inference(simplify,[then_simplify],['391','266','2','2']) ).

cnf('393',plain,
    ( op(e3,e3) != e4
    | ~ $pr($df467) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('394',plain,
    ~ $pr($df467),
    inference(simplify,[],['393','100']) ).

cnf('395',plain,
    ( ~ $pr($df476)
    | $pr($df468) ),
    inference(resolution,[],['392','394']) ).

cnf('396',plain,
    $pr($df468),
    inference(resolution,[],['390','395']) ).

cnf('397',plain,
    ( op(e3,e2) != e1
    | ~ $pr($df468)
    | $pr($df460)
    | $pr($df459) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('398',plain,
    ( ~ $pr($df468)
    | $pr($df460)
    | $pr($df459) ),
    inference(simplify,[],['397','225']) ).

cnf('399',plain,
    ( op(e3,e1) != e2
    | ~ $pr($df459) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('400',plain,
    ~ $pr($df459),
    inference(simplify,[],['399','199']) ).

cnf('401',plain,
    ( ~ $pr($df468)
    | $pr($df460) ),
    inference(resolution,[],['398','400']) ).

cnf('402',plain,
    $pr($df460),
    inference(resolution,[],['396','401']) ).

cnf('403',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df460)
    | $pr($df452)
    | $pr($df451) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('404',plain,
    ( ~ $pr($df460)
    | $pr($df452)
    | $pr($df451) ),
    inference(simplify,[then_simplify],['403','2','76']) ).

cnf('405',plain,
    ( op(e2,e4) != e1
    | ~ $pr($df451) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('406',plain,
    ~ $pr($df451),
    inference(simplify,[],['405','229']) ).

cnf('407',plain,
    ( ~ $pr($df460)
    | $pr($df452) ),
    inference(resolution,[],['404','406']) ).

cnf('408',plain,
    $pr($df452),
    inference(resolution,[],['402','407']) ).

cnf('409',plain,
    ( op(e2,e3) != e0
    | ~ $pr($df452)
    | $pr($df444)
    | $pr($df443) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('410',plain,
    ( ~ $pr($df452)
    | $pr($df444)
    | $pr($df443) ),
    inference(simplify,[then_simplify],['409','109','2','2']) ).

cnf('411',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df443) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('412',plain,
    ~ $pr($df443),
    inference(simplify,[],['411','119']) ).

cnf('413',plain,
    ( ~ $pr($df452)
    | $pr($df444) ),
    inference(resolution,[],['410','412']) ).

cnf('414',plain,
    $pr($df444),
    inference(resolution,[],['408','413']) ).

cnf('415',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df444)
    | $pr($df436)
    | $pr($df435) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('416',plain,
    ( ~ $pr($df444)
    | $pr($df436)
    | $pr($df435) ),
    inference(simplify,[],['415','194']) ).

cnf('417',plain,
    ( op(e2,e0) != e2
    | ~ $pr($df435) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('418',plain,
    ~ $pr($df435),
    inference(simplify,[then_simplify],['417','2','190']) ).

cnf('419',plain,
    ( ~ $pr($df444)
    | $pr($df436) ),
    inference(resolution,[],['416','418']) ).

cnf('420',plain,
    $pr($df436),
    inference(resolution,[],['414','419']) ).

cnf('421',plain,
    ( op(e1,e4) != e3
    | ~ $pr($df436)
    | $pr($df428)
    | $pr($df427) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('422',plain,
    ( ~ $pr($df436)
    | $pr($df428)
    | $pr($df427) ),
    inference(simplify,[],['421','188']) ).

cnf('423',plain,
    ( op(e1,e3) != e2
    | ~ $pr($df427) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('424',plain,
    ~ $pr($df427),
    inference(simplify,[],['423','181']) ).

cnf('425',plain,
    ( ~ $pr($df436)
    | $pr($df428) ),
    inference(resolution,[],['422','424']) ).

cnf('426',plain,
    $pr($df428),
    inference(resolution,[],['420','425']) ).

cnf('427',plain,
    ( op(e1,e2) != e4
    | ~ $pr($df428)
    | $pr($df420)
    | $pr($df419) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('428',plain,
    ( ~ $pr($df428)
    | $pr($df420)
    | $pr($df419) ),
    inference(simplify,[],['427','162']) ).

cnf('429',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df419) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('430',plain,
    ~ $pr($df419),
    inference(simplify,[then_simplify],['429','163','2','2']) ).

cnf('431',plain,
    ( ~ $pr($df428)
    | $pr($df420) ),
    inference(resolution,[],['428','430']) ).

cnf('432',plain,
    $pr($df420),
    inference(resolution,[],['426','431']) ).

cnf('433',plain,
    ( op(e1,e0) != e1
    | ~ $pr($df420)
    | $pr($df412)
    | $pr($df411) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('434',plain,
    ( ~ $pr($df420)
    | $pr($df412)
    | $pr($df411) ),
    inference(simplify,[then_simplify],['433','2','205']) ).

cnf('435',plain,
    ( op(e0,e4) != e4
    | ~ $pr($df411) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('436',plain,
    ~ $pr($df411),
    inference(simplify,[then_simplify],['435','2','94']) ).

cnf('437',plain,
    ( ~ $pr($df420)
    | $pr($df412) ),
    inference(resolution,[],['434','436']) ).

cnf('438',plain,
    $pr($df412),
    inference(resolution,[],['432','437']) ).

cnf('439',plain,
    ( op(e0,e3) != e3
    | ~ $pr($df412)
    | $pr($df404)
    | $pr($df403) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('440',plain,
    ( ~ $pr($df412)
    | $pr($df404)
    | $pr($df403) ),
    inference(simplify,[then_simplify],['439','2','96']) ).

cnf('441',plain,
    ( op(e0,e2) != e2
    | ~ $pr($df403) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('442',plain,
    ~ $pr($df403),
    inference(simplify,[then_simplify],['441','2','89']) ).

cnf('443',plain,
    ( ~ $pr($df412)
    | $pr($df404) ),
    inference(resolution,[],['440','442']) ).

cnf('444',plain,
    $pr($df404),
    inference(resolution,[],['438','443']) ).

cnf('445',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df404)
    | $pr($df392)
    | $pr($df391) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('446',plain,
    ( ~ $pr($df404)
    | $pr($df392)
    | $pr($df391) ),
    inference(simplify,[then_simplify],['445','2','145']) ).

cnf('447',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df391) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('448',plain,
    ~ $pr($df391),
    inference(simplify,[then_simplify],['447','2','2','13','2']) ).

cnf('449',plain,
    ( ~ $pr($df404)
    | $pr($df392) ),
    inference(resolution,[],['446','448']) ).

cnf('450',plain,
    $pr($df392),
    inference(resolution,[],['444','449']) ).

cnf('451',plain,
    ( ~ $pr($df392)
    | op(e4,e4) = e1
    | $pr($df304)
    | $pr($df303) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('452',plain,
    ( ~ $pr($df392)
    | e2 = e1
    | $pr($df304)
    | $pr($df303) ),
    inference(simplify,[],['451','208']) ).

cnf('453',plain,
    ( $pr($df304)
    | $pr($df303) ),
    inference(resolution,[then_simplify],['450','452','187']) ).

cnf('454',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df303)
    | e1 = unit ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('455',plain,
    ~ $pr($df303),
    inference(simplify,[then_simplify],['454','149','247']) ).

cnf('456',plain,
    $pr($df304),
    inference(resolution,[],['453','455']) ).

cnf('457',plain,
    ( ~ $pr($df304)
    | op(e4,e2) = e1
    | op(e4,e1) = e1
    | $pr($df294)
    | $pr($df293) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('458',plain,
    ( ~ $pr($df293)
    | op(e4,e0) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('459',plain,
    ( ~ $pr($df293)
    | e4 = e1 ),
    inference(simplify,[then_simplify],['458','2','203']) ).

cnf('460',plain,
    ~ $pr($df293),
    inference(paramodulation,[],['459','106']) ).

cnf('461',plain,
    ( ~ $pr($df304)
    | e3 = e1
    | $pr($df294) ),
    inference(simplify,[then_simplify],['457','137','460','269','2','247']) ).

cnf('462',plain,
    ( ~ $pr($df304)
    | $pr($df294) ),
    inference(paramodulation,[],['461','81']) ).

cnf('463',plain,
    $pr($df294),
    inference(resolution,[],['456','462']) ).

cnf('464',plain,
    ( ~ $pr($df294)
    | op(e3,e4) = e1
    | op(e3,e3) = e1
    | $pr($df284)
    | $pr($df283) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('465',plain,
    ( ~ $pr($df294)
    | e4 = e1
    | $pr($df284)
    | $pr($df283) ),
    inference(simplify,[then_simplify],['464','137','266','2','100']) ).

cnf('466',plain,
    ( $pr($df284)
    | $pr($df283) ),
    inference(resolution,[then_simplify],['463','465','130']) ).

cnf('467',plain,
    ( op(e3,e1) != e2
    | ~ $pr($df283)
    | e1 = unit ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('468',plain,
    ~ $pr($df283),
    inference(simplify,[then_simplify],['467','149','199']) ).

cnf('469',plain,
    $pr($df284),
    inference(resolution,[],['466','468']) ).

cnf('470',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df273)
    | e1 = unit ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('471',plain,
    ~ $pr($df273),
    inference(simplify,[then_simplify],['470','149','194']) ).

cnf('472',plain,
    ( ~ $pr($df288)
    | $pr($df273) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('473',plain,
    ~ $pr($df288),
    inference(resolution,[],['471','472']) ).

cnf('474',plain,
    ( ~ $pr($df273)
    | $pr($df288)
    | $pr($df286)
    | $pr($df285) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('475',plain,
    ( ~ $pr($df286)
    | op(e3,e1) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('476',plain,
    ( ~ $pr($df286)
    | e2 = unit ),
    inference(simplify,[then_simplify],['475','199','2']) ).

cnf('477',plain,
    ~ $pr($df286),
    inference(paramodulation,[],['476','112']) ).

cnf('478',plain,
    ( ~ $pr($df273)
    | $pr($df288)
    | $pr($df285) ),
    inference(simplify,[],['474','477']) ).

cnf('479',plain,
    ( ~ $pr($df273)
    | $pr($df285) ),
    inference(resolution,[],['473','478']) ).

cnf('480',plain,
    ( ~ $pr($df285)
    | ~ $pr($df273) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('481',plain,
    ~ $pr($df273),
    inference(simplify,[],['479','480']) ).

cnf('482',plain,
    $pr($df274),
    inference(resolution,[then_simplify],['85','200','469','481']) ).

cnf('483',plain,
    $pr($df264),
    inference(paramodulation,[then_simplify],['197','85','482']) ).

cnf('484',plain,
    $pr($df254),
    inference(paramodulation,[then_simplify],['191','85','483']) ).

cnf('485',plain,
    $pr($df243),
    inference(resolution,[then_simplify],['160','177','484','130']) ).

cnf('486',plain,
    $false,
    inference(resolution,[then_simplify],['174','175','485']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG093+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.12  % Command  : gkc %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 05:41:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  
% 0.19/0.45  input clause set summed statistics:
% 0.19/0.45  ----------------------------------
% 0.19/0.45  in_clause_count:                  3683
% 0.19/0.45  in_rule_clause_count:             3682
% 0.19/0.45  in_fact_clause_count:                1
% 0.19/0.45  in_answer_clause_count:              0
% 0.19/0.45  in_ground_clause_count:           3683
% 0.19/0.45  in_unit_clause_count:               36
% 0.19/0.45  in_horn_clause_count:             2031
% 0.19/0.45  in_pos_clause_count:               287
% 0.19/0.45  in_neg_clause_count:              1425
% 0.19/0.45  in_poseq_clause_count:            1014
% 0.19/0.45  in_negeq_clause_count:            1288
% 0.19/0.45  in_unitposeq_clause_count:          26
% 0.19/0.45  in_chain_clause_count:               0
% 0.19/0.45  in_min_length:             1
% 0.19/0.45  in_max_length:            14
% 0.19/0.45  in_min_depth:              1
% 0.19/0.45  in_max_depth:              2
% 0.19/0.45  in_min_size:               3
% 0.19/0.45  in_max_size:              59
% 0.19/0.45  in_min_vars:               0
% 0.19/0.45  in_max_vars:               0
% 0.19/0.45  in_extaxiom_count:                 0
% 0.19/0.45  in_axiom_count:                   36
% 0.19/0.45  in_assumption_count:               0
% 0.19/0.45  in_goal_count:                  3647
% 0.19/0.45  in_neg_goal_count:              1415
% 0.19/0.45  in_pos_goal_count:               261
% 0.19/0.45  in_posunit_goal_count:             0
% 0.19/0.45  
% 0.19/0.45  auto guide:
% 0.19/0.45  -----------
% 0.19/0.45  {
% 0.19/0.45  "print":1,
% 0.19/0.45  "print_level": 15,
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% 0.19/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.45  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.45  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.45  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.45  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.45  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.19/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.45  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.45  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.45  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.45  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.45  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.45  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.45  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.45  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.45  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.19/0.45  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.45  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.45  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.45  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.45  
% 0.19/0.45  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.45  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.45  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.45  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.45  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.19/0.45  
% 0.19/0.45  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.45  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.45  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.45  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1} 
% 0.19/0.45  
% 0.19/0.45  ]}
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  **** run 1 fork 0 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.19/0.45  
% 0.19/0.45  **** run 2 fork 1 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.19/0.45  
% 0.19/0.45  **** run 3 fork 2 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.45  
% 0.19/0.45  **** run 4 fork 3 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.45  
% 0.19/0.45  **** run 7 fork 6 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.45  
% 0.19/0.45  **** run 5 fork 4 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.45  
% 0.19/0.45  **** run 6 fork 5 starts with strategy
% 0.19/0.45  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.46  
% 0.19/0.46  **** run 8 fork 7 starts with strategy
% 0.19/0.46  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.52  
% 0.19/0.52  fork 0: search finished without proof.
% 0.19/0.55  
% 0.19/0.55  **** run 9 fork 0 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.59  
% 0.19/0.59  fork 4: search finished without proof.
% 0.19/0.60  
% 0.19/0.60  fork 6: search finished without proof.
% 0.19/0.60  
% 0.19/0.60  fork 2: search finished without proof.
% 0.19/0.60  
% 0.19/0.60  fork 1: search finished without proof.
% 0.19/0.60  
% 0.19/0.60  fork 3: search finished without proof.
% 0.19/0.61  
% 0.19/0.61  fork 5: search finished without proof.
% 0.19/0.61  
% 0.19/0.61  fork 7: search finished without proof.
% 0.19/0.62  
% 0.19/0.62  **** run 13 fork 4 starts with strategy
% 0.19/0.62  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.19/0.62  
% 0.19/0.62  **** run 15 fork 6 starts with strategy
% 0.19/0.62  {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 0.19/0.62  
% 0.19/0.62  **** run 11 fork 2 starts with strategy
% 0.19/0.62  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.19/0.62  
% 0.19/0.62  **** run 12 fork 3 starts with strategy
% 0.19/0.62  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.62  
% 0.19/0.62  **** run 10 fork 1 starts with strategy
% 0.19/0.62  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.63  
% 0.19/0.63  **** run 14 fork 5 starts with strategy
% 0.19/0.63  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 0.19/0.63  
% 0.19/0.63  **** run 16 fork 7 starts with strategy
% 0.19/0.63  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.19/0.66  
% 0.19/0.66  fork 6: search finished without proof.
% 0.19/0.68  No candidate clauses found.
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 2: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  **** run 23 fork 6 starts with strategy
% 0.19/0.68  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.19/0.70  
% 0.19/0.70  **** run 19 fork 2 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.71  
% 0.19/0.71  fork 0: search finished without proof.
% 0.19/0.73  
% 0.19/0.73  **** run 17 fork 0 starts with strategy
% 0.19/0.73  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 2.28/0.75  
% 2.28/0.75  fork 3: search finished without proof.
% 2.28/0.77  
% 2.28/0.77  **** run 20 fork 3 starts with strategy
% 2.28/0.77  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 2.28/0.77  
% 2.28/0.77  fork 5: search finished without proof.
% 2.28/0.78  
% 2.28/0.78  fork 4: search finished without proof.
% 2.28/0.78  
% 2.28/0.78  
% 2.28/0.78  fork 7: search terminated without proof.
% 2.28/0.79  
% 2.28/0.79  
% 2.28/0.79  fork 1: search terminated without proof.
% 2.28/0.80  
% 2.28/0.80  **** run 24 fork 7 starts with strategy
% 2.28/0.80  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.28/0.81  
% 2.28/0.81  **** run 22 fork 5 starts with strategy
% 2.28/0.81  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 2.86/0.81  
% 2.86/0.81  **** run 18 fork 1 starts with strategy
% 2.86/0.81  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 2.86/0.81  
% 2.86/0.81  **** run 21 fork 4 starts with strategy
% 2.86/0.81  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 2.86/0.81  
% 2.86/0.81  fork 6: search finished without proof.
% 2.86/0.83  
% 2.86/0.83  **** run 31 fork 6 starts with strategy
% 2.86/0.83  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.86/0.86  
% 2.86/0.86  fork 2: search finished without proof.
% 2.86/0.86  
% 2.86/0.86  fork 0: search finished without proof.
% 3.30/0.88  
% 3.30/0.88  **** run 27 fork 2 starts with strategy
% 3.30/0.88  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 3.30/0.88  
% 3.30/0.88  **** run 25 fork 0 starts with strategy
% 3.30/0.88  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 3.30/0.94  
% 3.30/0.94  
% 3.30/0.94  fork 7: search terminated without proof.
% 3.30/0.94  
% 3.30/0.94  
% 3.30/0.94  fork 3: search terminated without proof.
% 3.30/0.95  
% 3.30/0.95  
% 3.30/0.95  fork 1: search terminated without proof.
% 3.30/0.96  
% 3.30/0.96  **** run 28 fork 3 starts with strategy
% 3.30/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.99/0.96  
% 3.99/0.96  **** run 32 fork 7 starts with strategy
% 3.99/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.99/0.96  
% 3.99/0.96  
% 3.99/0.96  fork 5: search terminated without proof.
% 3.99/0.97  
% 3.99/0.97  
% 3.99/0.97  fork 4: search terminated without proof.
% 3.99/0.97  
% 3.99/0.97  **** run 26 fork 1 starts with strategy
% 3.99/0.97  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.99/0.97  
% 3.99/0.97  
% 3.99/0.97  fork 6: search terminated without proof.
% 3.99/0.98  
% 3.99/0.98  **** run 30 fork 5 starts with strategy
% 3.99/0.98  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 4.24/0.99  
% 4.24/0.99  **** run 29 fork 4 starts with strategy
% 4.24/0.99  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 4.24/0.99  
% 4.24/0.99  **** run 39 fork 6 starts with strategy
% 4.24/0.99  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 4.24/1.01  
% 4.24/1.01  
% 4.24/1.01  fork 2: search terminated without proof.
% 4.24/1.01  
% 4.24/1.01  fork 0: search finished without proof.
% 4.57/1.03  
% 4.57/1.03  **** run 35 fork 2 starts with strategy
% 4.57/1.03  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 4.57/1.03  
% 4.57/1.03  **** run 33 fork 0 starts with strategy
% 4.57/1.03  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 4.64/1.08  
% 4.64/1.08  fork 7: search finished without proof.
% 4.64/1.08  
% 4.64/1.08  fork 3: search finished without proof.
% 4.64/1.10  
% 4.64/1.10  **** run 40 fork 7 starts with strategy
% 4.64/1.10  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 4.64/1.10  
% 4.64/1.10  **** run 36 fork 3 starts with strategy
% 4.64/1.10  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 4.64/1.10  
% 4.64/1.10  
% 4.64/1.10  fork 1: search terminated without proof.
% 5.21/1.12  
% 5.21/1.12  fork 4: search finished without proof.
% 5.21/1.12  
% 5.21/1.12  fork 5: search finished without proof.
% 5.21/1.12  
% 5.21/1.12  fork 6: search finished without proof.
% 5.21/1.12  
% 5.21/1.12  **** run 34 fork 1 starts with strategy
% 5.21/1.12  {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 5.21/1.14  
% 5.21/1.14  **** run 37 fork 4 starts with strategy
% 5.21/1.14  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 5.21/1.14  
% 5.21/1.14  **** run 38 fork 5 starts with strategy
% 5.21/1.14  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 5.21/1.14  
% 5.21/1.14  **** run 47 fork 6 starts with strategy
% 5.21/1.14  {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.21/1.16  
% 5.21/1.16  fork 2: search finished without proof.
% 5.21/1.16  
% 5.21/1.16  fork 0: search finished without proof.
% 5.21/1.17  
% 5.21/1.17  fork 1: search finished without proof.
% 5.69/1.18  
% 5.69/1.18  **** run 43 fork 2 starts with strategy
% 5.69/1.18  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 5.69/1.18  
% 5.69/1.18  **** run 41 fork 0 starts with strategy
% 5.69/1.18  {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 5.69/1.18  
% 5.69/1.18  **** run 42 fork 1 starts with strategy
% 5.69/1.18  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 5.69/1.23  
% 5.69/1.23  fork 3: search finished without proof.
% 5.69/1.24  
% 5.69/1.24  fork 7: search finished without proof.
% 5.69/1.25  
% 5.69/1.25  **** run 44 fork 3 starts with strategy
% 5.69/1.25  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 5.69/1.25  
% 5.69/1.25  **** run 48 fork 7 starts with strategy
% 5.69/1.25  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.40/1.27  
% 6.40/1.27  fork 4: search finished without proof.
% 6.40/1.27  
% 6.40/1.27  fork 6: search finished without proof.
% 6.40/1.27  
% 6.40/1.27  fork 5: search finished without proof.
% 6.64/1.29  
% 6.64/1.29  **** run 45 fork 4 starts with strategy
% 6.64/1.29  {"var_weight":70,"repeat_var_weight":70,"rewrite":0,"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["hardness_pref","max_weight"],"max_dseconds":1}
% 6.64/1.29  
% 6.64/1.29  **** run 55 fork 6 starts with strategy
% 6.64/1.29  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 6.64/1.29  
% 6.64/1.29  **** run 46 fork 5 starts with strategy
% 6.64/1.29  {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.64/1.31  
% 6.64/1.31  fork 2: search finished without proof.
% 6.64/1.31  
% 6.64/1.31  
% 6.64/1.31  fork 0: search terminated without proof.
% 6.64/1.32  
% 6.64/1.32  fork 1: search finished without proof.
% 6.64/1.33  
% 6.64/1.33  **** run 51 fork 2 starts with strategy
% 6.64/1.33  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.64/1.33  
% 6.64/1.33  **** run 49 fork 0 starts with strategy
% 6.64/1.33  {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 6.64/1.34  
% 6.64/1.34  **** run 50 fork 1 starts with strategy
% 6.64/1.34  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.64/1.38  
% 6.64/1.38  
% 6.64/1.38  fork 3: search terminated without proof.
% 6.64/1.39  
% 6.64/1.39  fork 7: search finished without proof.
% 6.64/1.40  
% 6.64/1.40  **** run 56 fork 7 starts with strategy
% 6.64/1.40  {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 6.64/1.41  
% 6.64/1.41  **** run 52 fork 3 starts with strategy
% 6.64/1.41  {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 6.64/1.42  
% 6.64/1.42  fork 6: search finished without proof.
% 6.64/1.42  
% 6.64/1.42  
% 6.64/1.42  fork 4: search terminated without proof.
% 7.78/1.44  
% 7.78/1.44  **** run 53 fork 4 starts with strategy
% 7.78/1.44  {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 7.78/1.44  
% 7.78/1.44  **** run 63 fork 6 starts with strategy
% 7.78/1.44  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 7.78/1.45  
% 7.78/1.45  fork 5: search finished without proof.
% 7.78/1.46  
% 7.78/1.46  fork 0: search finished without proof.
% 7.78/1.47  
% 7.78/1.47  **** run 54 fork 5 starts with strategy
% 7.78/1.47  {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 7.78/1.48  
% 7.78/1.48  
% 7.78/1.48  fork 1: search terminated without proof.
% 7.78/1.48  
% 7.78/1.48  **** run 57 fork 0 starts with strategy
% 7.78/1.48  {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 7.78/1.50  
% 7.78/1.50  **** run 58 fork 1 starts with strategy
% 7.78/1.50  {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 8.33/1.52  
% 8.33/1.52  
% 8.33/1.52  fork 2: search terminated without proof.
% 8.33/1.53  
% 8.33/1.53  fork 7: search finished without proof.
% 8.33/1.54  
% 8.33/1.54  **** run 59 fork 2 starts with strategy
% 8.33/1.54  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 8.33/1.55  
% 8.33/1.55  fork 1: search finished without proof.
% 8.33/1.55  
% 8.33/1.55  
% 8.33/1.55  fork 3: search terminated without proof.
% 8.33/1.55  
% 8.33/1.55  **** run 64 fork 7 starts with strategy
% 8.33/1.55  {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.33/1.56  
% 8.33/1.56  **** run 66 fork 1 starts with strategy
% 8.33/1.56  {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.77/1.57  
% 8.77/1.57  **** run 60 fork 3 starts with strategy
% 8.77/1.57  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 8.77/1.57  
% 8.77/1.57  
% 8.77/1.57  fork 4: search terminated without proof.
% 8.77/1.60  
% 8.77/1.60  **** run 61 fork 4 starts with strategy
% 8.77/1.60  {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 8.77/1.60  
% 8.77/1.60  
% 8.77/1.60  fork 5: search terminated without proof.
% 8.77/1.61  
% 8.77/1.61  fork 0: search finished without proof.
% 8.77/1.62  
% 8.77/1.62  **** run 62 fork 5 starts with strategy
% 8.77/1.62  {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.77/1.63  
% 8.77/1.63  **** run 65 fork 0 starts with strategy
% 8.77/1.63  {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 11.11/1.98  
% 11.11/1.98  
% 11.11/1.98  result: proof found
% 11.11/1.98  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 11.11/1.98  by run 60 fork 3 strategy {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 11.11/1.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 11.11/1.98  
% 11.11/1.98  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 11.11/1.99  
% 11.11/1.99  run 60 fork 3 statistics:
% 11.11/1.99  ----------------------------------
% 11.11/1.99  this run seconds: 0.097209
% 11.11/1.99  total seconds: 1.207919
% 11.11/1.99  stat_given_used: 3040
% 11.11/1.99  stat_given_used_at_endgame: 0
% 11.11/1.99  stat_given_candidates:   5917
% 11.11/1.99  stat_given_candidates_at_endgame: 0
% 11.11/1.99  stat_given_candidates_h: 0
% 11.11/1.99  stat_binres_derived_cl:   2251
% 11.11/1.99  stat_binres_derived_cl_h: 0
% 11.11/1.99  stat_factor_derived_cl: 0
% 11.11/1.99  stat_para_derived_cl: 7830
% 11.11/1.99  stat_tautologies_discarded: 8
% 11.11/1.99  stat_forward_subsumed: 5718
% 11.11/1.99  stat_derived_cut: 1204
% 11.11/1.99  stat_derived_rewritten: 1008
% 11.11/1.99  stat_weight_discarded_building: 0
% 11.11/1.99  stat_weight_discarded_cl: 0
% 11.11/1.99  stat_internlimit_discarded_cl: 0
% 11.11/1.99  stat_simplified:  1509 simplified 0 derived 0 given
% 11.11/1.99  stat_kept_cl: 4284
% 11.11/1.99  stat_built_cl: 11873
% 11.11/1.99  stat_hyperres_partial_cl: 0
% 11.11/1.99  stat_made_rewriters: 35
% 11.11/1.99  stat_backward_subsumed: 0
% 11.11/1.99  stat_propagated_subsumed: 0
% 11.11/1.99  stat_clsubs_attempted:                      6274
% 11.11/1.99  stat_clsubs_fact_groundunit_found:            21
% 11.11/1.99  stat_clsubs_rule_groundunit_found:           681
% 11.11/1.99  stat_clsubs_top_meta_attempted:            4329975
% 11.11/1.99  stat_clsubs_top_meta_failed:               4323701
% 11.11/1.99  stat_clsubs_top_meta_nonpref_attempted:             4329975
% 11.11/1.99  stat_clsubs_top_meta_nonpref_succeeded:             1335225
% 11.11/1.99  stat_clsubs_top_meta_pref_attempted:                1335225
% 11.11/1.99  stat_clsubs_top_meta_pref1_succeeded:               1136846
% 11.11/1.99  stat_clsubs_top_meta_pref2_succeeded:                  7347
% 11.11/1.99  stat_clsubs_top_meta_pref3_succeeded:                  6274
% 11.11/1.99  stat_clsubs_top_meta_pref_succeeded:                   6274
% 11.11/1.99  stat_clsubs_meta_attempted:                11696
% 11.11/1.99  stat_clsubs_meta_failed:                    9985
% 11.11/1.99  stat_clsubs_predsymbs_attempted:               0
% 11.11/1.99  stat_clsubs_unit_attempted:                    0
% 11.11/1.99  stat_clsubs_full_attempted:                 6274
% 11.11/1.99  stat_forwardsubs_attempted:                10003
% 11.11/1.99  stat_lit_hash_added:                   7145
% 11.11/1.99  stat_lit_hash_computed:               57834
% 11.11/1.99  stat_lit_hash_match_found:             9395
% 11.11/1.99  stat_lit_hash_match_miss:             59189
% 11.11/1.99  stat_lit_hash_cut_ok:                  1784
% 11.11/1.99  stat_lit_strong_cut_ok:                   0
% 11.11/1.99  stat_lit_hash_subsume_ok:              5718
% 11.11/1.99  clqueue els 10000000 used 1
% 11.11/1.99  clactive els 10000000 used 3041
% 11.11/1.99  clactivesubsume els 10000000 used 13675
% 11.11/1.99  queue_termbuf els 200000000 used 281514
% 11.11/1.99  hyper_termbuf els 100000000 used 1
% 11.11/1.99  active_termbuf els 100000000 used 61083
% 11.11/1.99  varstack els 5000 last used 1
% 11.11/1.99  given_termbuf els 10000000 last used 1
% 11.11/1.99  simplified_termbuf els 10000000 last used 1
% 11.11/1.99  derived_termbuf els 10000000 last used 21
% 11.11/1.99  wr_mallocs: 27097
% 11.11/1.99  wr_callocs: 21
% 11.11/1.99  wr_reallocs: 2040
% 11.11/1.99  wr_frees: 4
% 11.11/1.99  wr_malloc_bytes: 4163506884
% 11.11/1.99  wr_calloc_bytes: 112065536
% 11.11/1.99  wr_realloc_bytes: 534968
% 11.11/1.99  wr_realloc_freebytes: 0
% 11.11/1.99  ----------------------------------
%------------------------------------------------------------------------------