TSTP Solution File: ALG187+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG187+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n027.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 16:28:11 EDT 2023

% Result   : Theorem 2.10s 0.86s
% Output   : CNFRefutation 2.10s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

cnf('1',plain,
    ( op(e0,e4) = e4
    | op(e0,e3) = e3
    | op(e0,e2) = e2
    | op(e0,e1) = e1
    | op(e0,e0) = e0
    | $pr($df3) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('2',plain,
    e3 != e4,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('3',plain,
    e1 != e3,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('4',plain,
    e0 != e2,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('5',plain,
    op(e0,e4) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('6',plain,
    op(e0,e3) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('7',plain,
    op(e0,e2) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('8',plain,
    op(e0,e1) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('9',plain,
    op(e0,e0) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('10',plain,
    ( e2 = e1
    | e4 = e0
    | $pr($df3) ),
    inference(simplify,[then_simplify],['1','2','3','4','5','6','7','8','9']) ).

cnf('11',plain,
    e1 != e2,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('12',plain,
    ( e4 = e0
    | $pr($df3) ),
    inference(paramodulation,[],['10','11']) ).

cnf('13',plain,
    e0 != e4,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('14',plain,
    $pr($df3),
    inference(paramodulation,[],['12','13']) ).

cnf('15',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df3) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('16',plain,
    ( e4 != e0
    | ~ $pr($df3) ),
    inference(simplify,[],['15','9']) ).

cnf('17',plain,
    e4 != e0,
    inference(resolution,[],['14','16']) ).

cnf('18',plain,
    ( ~ $pr($df2)
    | op(e0,e4) = e4
    | op(e0,e3) = e3
    | op(e0,e2) = e2
    | op(e0,e1) = e1
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('19',plain,
    ( ~ $pr($df2)
    | e2 = e1
    | e4 = e0 ),
    inference(simplify,[then_simplify],['18','2','3','4','5','6','7','8','9']) ).

cnf('20',plain,
    ( op(e0,e3) != e1
    | ~ $pr($df118)
    | $pr($df110)
    | $pr($df109) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('21',plain,
    ( ~ $pr($df118)
    | $pr($df110)
    | $pr($df109) ),
    inference(simplify,[],['20','6']) ).

cnf('22',plain,
    ( op(e1,e0) != e0
    | ~ $pr($df109) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('23',plain,
    op(e1,e0) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('24',plain,
    ~ $pr($df109),
    inference(simplify,[],['22','23']) ).

cnf('25',plain,
    ( ~ $pr($df118)
    | $pr($df110) ),
    inference(resolution,[],['21','24']) ).

cnf('26',plain,
    ( op(e0,e4) != e3
    | ~ $pr($df134)
    | $pr($df126)
    | $pr($df125) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('27',plain,
    ( ~ $pr($df134)
    | $pr($df126)
    | $pr($df125) ),
    inference(simplify,[],['26','5']) ).

cnf('28',plain,
    ( op(e4,e0) != e2
    | ~ $pr($df125) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('29',plain,
    op(e4,e0) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('30',plain,
    ~ $pr($df125),
    inference(simplify,[],['28','29']) ).

cnf('31',plain,
    ( ~ $pr($df134)
    | $pr($df126) ),
    inference(resolution,[],['27','30']) ).

cnf('32',plain,
    ( op(e3,e2) != e4
    | ~ $pr($df262)
    | $pr($df254)
    | $pr($df253) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('33',plain,
    op(e3,e2) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('34',plain,
    ( ~ $pr($df262)
    | $pr($df254)
    | $pr($df253) ),
    inference(simplify,[],['32','33']) ).

cnf('35',plain,
    ( op(e1,e3) != e3
    | ~ $pr($df253) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('36',plain,
    op(e1,e3) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('37',plain,
    ~ $pr($df253),
    inference(simplify,[],['35','36']) ).

cnf('38',plain,
    ( ~ $pr($df262)
    | $pr($df254) ),
    inference(resolution,[],['34','37']) ).

cnf('39',plain,
    ( op(e4,e2) != e1
    | ~ $pr($df278)
    | $pr($df270)
    | $pr($df269) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('40',plain,
    op(e4,e2) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('41',plain,
    ( ~ $pr($df278)
    | $pr($df270)
    | $pr($df269) ),
    inference(simplify,[],['39','40']) ).

cnf('42',plain,
    ( op(e4,e4) != e0
    | ~ $pr($df269) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('43',plain,
    op(e4,e4) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('44',plain,
    ~ $pr($df269),
    inference(simplify,[],['42','43']) ).

cnf('45',plain,
    ( ~ $pr($df278)
    | $pr($df270) ),
    inference(resolution,[],['41','44']) ).

cnf('46',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df294)
    | $pr($df286)
    | $pr($df285) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('47',plain,
    op(e4,e1) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('48',plain,
    ( ~ $pr($df294)
    | $pr($df286)
    | $pr($df285) ),
    inference(simplify,[],['46','47']) ).

cnf('49',plain,
    ( op(e2,e4) != e2
    | ~ $pr($df285) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('50',plain,
    op(e2,e4) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('51',plain,
    ~ $pr($df285),
    inference(simplify,[],['49','50']) ).

cnf('52',plain,
    ( ~ $pr($df294)
    | $pr($df286) ),
    inference(resolution,[],['48','51']) ).

cnf('53',plain,
    ( op(e4,e3) != e4
    | ~ $pr($df302)
    | $pr($df294)
    | $pr($df293) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('54',plain,
    op(e4,e3) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('55',plain,
    ( ~ $pr($df302)
    | $pr($df294)
    | $pr($df293) ),
    inference(simplify,[],['53','54']) ).

cnf('56',plain,
    ( op(e0,e4) != e3
    | ~ $pr($df293) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('57',plain,
    ~ $pr($df293),
    inference(simplify,[],['56','5']) ).

cnf('58',plain,
    ( ~ $pr($df302)
    | $pr($df294) ),
    inference(resolution,[],['55','57']) ).

cnf('59',plain,
    ( op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e3,e3),op(e3,e3)) != e3
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e0,e4),op(e4,e0)) != e4
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(op(e0,e3),op(e3,e0)) != e3
    | op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e4,e0),op(e0,e4)) != e0
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e0,e2),op(e2,e0)) != e2
    | op(op(e3,e0),op(e0,e3)) != e0
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e2,e0),op(e0,e2)) != e0
    | op(op(e0,e1),op(e1,e0)) != e1
    | op(op(e1,e0),op(e0,e1)) != e0
    | op(op(e0,e0),op(e0,e0)) != e0
    | $pr($df302)
    | $pr($df301) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('60',plain,
    op(e3,e4) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('61',plain,
    op(e1,e4) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('62',plain,
    op(e2,e1) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('63',plain,
    op(e3,e3) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('64',plain,
    op(e2,e2) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('65',plain,
    op(e1,e2) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('66',plain,
    op(e2,e3) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('67',plain,
    op(e3,e1) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('68',plain,
    op(e3,e0) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('69',plain,
    op(e2,e0) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('70',plain,
    op(e1,e1) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('71',plain,
    ( $pr($df302)
    | $pr($df301) ),
    inference(simplify,[then_simplify],['59','43','43','9','60','54','61','54','60','47','50','40','62','63','63','64','61','47','54','40','50','65','66','33','5','5','29','33','33','66','29','36','67','68','47','61','60','64','64','63','6','68','36','67','36','6','65','62','50','29','5','66','62','65','40','7','69','8','68','6','67','70','70','70','69','7','23','8','23','69','23','8','7','9','9','43']) ).

cnf('72',plain,
    ( op(e1,e4) != e4
    | ~ $pr($df301) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('73',plain,
    ~ $pr($df301),
    inference(simplify,[],['72','61']) ).

cnf('74',plain,
    $pr($df302),
    inference(resolution,[],['71','73']) ).

cnf('75',plain,
    $pr($df294),
    inference(simplify,[],['58','74']) ).

cnf('76',plain,
    ( ~ $pr($df294)
    | $pr($df307)
    | $pr($df304)
    | $pr($df303) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('77',plain,
    ( ~ $pr($df304)
    | op(e4,e1) = e4 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('78',plain,
    ~ $pr($df304),
    inference(simplify,[then_simplify],['77','2','47']) ).

cnf('79',plain,
    ( ~ $pr($df294)
    | $pr($df307)
    | $pr($df303) ),
    inference(resolution,[],['76','78']) ).

cnf('80',plain,
    ( ~ $pr($df303)
    | ~ $pr($df294) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('81',plain,
    ( ~ $pr($df294)
    | $pr($df307) ),
    inference(simplify,[],['79','80']) ).

cnf('82',plain,
    $pr($df307),
    inference(resolution,[],['75','81']) ).

cnf('83',plain,
    ( ~ $pr($df307)
    | $pr($df294) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('84',plain,
    $pr($df294),
    inference(resolution,[],['82','83']) ).

cnf('85',plain,
    $pr($df286),
    inference(simplify,[],['52','84']) ).

cnf('86',plain,
    ( op(e4,e0) != e2
    | ~ $pr($df286)
    | $pr($df278)
    | $pr($df277) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('87',plain,
    ( ~ $pr($df286)
    | $pr($df278)
    | $pr($df277) ),
    inference(simplify,[],['86','29']) ).

cnf('88',plain,
    ( op(e3,e4) != e1
    | ~ $pr($df277) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('89',plain,
    ~ $pr($df277),
    inference(simplify,[],['88','60']) ).

cnf('90',plain,
    ( ~ $pr($df286)
    | $pr($df278) ),
    inference(resolution,[],['87','89']) ).

cnf('91',plain,
    $pr($df278),
    inference(resolution,[],['85','90']) ).

cnf('92',plain,
    $pr($df270),
    inference(simplify,[],['45','91']) ).

cnf('93',plain,
    ( op(e4,e4) != e0
    | ~ $pr($df270)
    | $pr($df262)
    | $pr($df261) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('94',plain,
    ( ~ $pr($df270)
    | $pr($df262)
    | $pr($df261) ),
    inference(simplify,[],['93','43']) ).

cnf('95',plain,
    ( op(e4,e3) != e4
    | ~ $pr($df261) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('96',plain,
    ~ $pr($df261),
    inference(simplify,[],['95','54']) ).

cnf('97',plain,
    ( ~ $pr($df270)
    | $pr($df262) ),
    inference(resolution,[],['94','96']) ).

cnf('98',plain,
    $pr($df262),
    inference(resolution,[],['92','97']) ).

cnf('99',plain,
    $pr($df254),
    inference(simplify,[],['38','98']) ).

cnf('100',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df254)
    | $pr($df246)
    | $pr($df245) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('101',plain,
    ( ~ $pr($df254)
    | $pr($df246)
    | $pr($df245) ),
    inference(simplify,[],['100','68']) ).

cnf('102',plain,
    ( op(e3,e3) != e2
    | ~ $pr($df245) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('103',plain,
    ~ $pr($df245),
    inference(simplify,[],['102','63']) ).

cnf('104',plain,
    ( ~ $pr($df254)
    | $pr($df246) ),
    inference(resolution,[],['101','103']) ).

cnf('105',plain,
    $pr($df246),
    inference(resolution,[],['99','104']) ).

cnf('106',plain,
    ( op(e3,e3) != e2
    | ~ $pr($df246)
    | $pr($df238)
    | $pr($df237) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('107',plain,
    ( ~ $pr($df246)
    | $pr($df238)
    | $pr($df237) ),
    inference(simplify,[],['106','63']) ).

cnf('108',plain,
    ( op(e0,e3) != e1
    | ~ $pr($df237) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('109',plain,
    ~ $pr($df237),
    inference(simplify,[],['108','6']) ).

cnf('110',plain,
    ( ~ $pr($df246)
    | $pr($df238) ),
    inference(resolution,[],['107','109']) ).

cnf('111',plain,
    $pr($df238),
    inference(resolution,[],['105','110']) ).

cnf('112',plain,
    ( op(e3,e4) != e1
    | ~ $pr($df238)
    | $pr($df229)
    | $pr($df230) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('113',plain,
    ( ~ $pr($df238)
    | $pr($df229)
    | $pr($df230) ),
    inference(simplify,[],['112','60']) ).

cnf('114',plain,
    ( op(e2,e3) != e0
    | ~ $pr($df229) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('115',plain,
    ~ $pr($df229),
    inference(simplify,[],['114','66']) ).

cnf('116',plain,
    ( ~ $pr($df238)
    | $pr($df230) ),
    inference(resolution,[],['113','115']) ).

cnf('117',plain,
    $pr($df230),
    inference(resolution,[],['111','116']) ).

cnf('118',plain,
    ( op(e3,e1) != e0
    | ~ $pr($df230)
    | $pr($df222)
    | $pr($df221) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('119',plain,
    ( ~ $pr($df230)
    | $pr($df222)
    | $pr($df221) ),
    inference(simplify,[],['118','67']) ).

cnf('120',plain,
    ( op(e3,e2) != e4
    | ~ $pr($df221) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('121',plain,
    ~ $pr($df221),
    inference(simplify,[],['120','33']) ).

cnf('122',plain,
    ( ~ $pr($df230)
    | $pr($df222) ),
    inference(resolution,[],['119','121']) ).

cnf('123',plain,
    $pr($df222),
    inference(resolution,[],['117','122']) ).

cnf('124',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df222)
    | $pr($df214)
    | $pr($df213) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('125',plain,
    ( ~ $pr($df222)
    | $pr($df214)
    | $pr($df213) ),
    inference(simplify,[],['124','62']) ).

cnf('126',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df213) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('127',plain,
    ~ $pr($df213),
    inference(simplify,[],['126','64']) ).

cnf('128',plain,
    ( ~ $pr($df222)
    | $pr($df214) ),
    inference(resolution,[],['125','127']) ).

cnf('129',plain,
    $pr($df214),
    inference(resolution,[],['123','128']) ).

cnf('130',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df214)
    | $pr($df206)
    | $pr($df205) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('131',plain,
    ( ~ $pr($df214)
    | $pr($df206)
    | $pr($df205) ),
    inference(simplify,[],['130','64']) ).

cnf('132',plain,
    ( op(e1,e2) != e2
    | ~ $pr($df205) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('133',plain,
    ~ $pr($df205),
    inference(simplify,[],['132','65']) ).

cnf('134',plain,
    ( ~ $pr($df214)
    | $pr($df206) ),
    inference(resolution,[],['131','133']) ).

cnf('135',plain,
    $pr($df206),
    inference(resolution,[],['129','134']) ).

cnf('136',plain,
    ( op(e2,e4) != e2
    | ~ $pr($df206)
    | $pr($df198)
    | $pr($df197) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('137',plain,
    ( ~ $pr($df206)
    | $pr($df198)
    | $pr($df197) ),
    inference(simplify,[],['136','50']) ).

cnf('138',plain,
    ( op(e4,e2) != e1
    | ~ $pr($df197) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('139',plain,
    ~ $pr($df197),
    inference(simplify,[],['138','40']) ).

cnf('140',plain,
    ( ~ $pr($df206)
    | $pr($df198) ),
    inference(resolution,[],['137','139']) ).

cnf('141',plain,
    $pr($df198),
    inference(resolution,[],['135','140']) ).

cnf('142',plain,
    ( op(e2,e0) != e1
    | ~ $pr($df198)
    | $pr($df190)
    | $pr($df189) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('143',plain,
    ( ~ $pr($df198)
    | $pr($df190)
    | $pr($df189) ),
    inference(simplify,[],['142','69']) ).

cnf('144',plain,
    ( op(e0,e2) != e0
    | ~ $pr($df189) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('145',plain,
    ~ $pr($df189),
    inference(simplify,[],['144','7']) ).

cnf('146',plain,
    ( ~ $pr($df198)
    | $pr($df190) ),
    inference(resolution,[],['143','145']) ).

cnf('147',plain,
    $pr($df190),
    inference(resolution,[],['141','146']) ).

cnf('148',plain,
    ( op(e2,e3) != e0
    | ~ $pr($df190)
    | $pr($df182)
    | $pr($df181) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('149',plain,
    ( ~ $pr($df190)
    | $pr($df182)
    | $pr($df181) ),
    inference(simplify,[],['148','66']) ).

cnf('150',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df181) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('151',plain,
    ~ $pr($df181),
    inference(simplify,[],['150','62']) ).

cnf('152',plain,
    ( ~ $pr($df190)
    | $pr($df182) ),
    inference(resolution,[],['149','151']) ).

cnf('153',plain,
    $pr($df182),
    inference(resolution,[],['147','152']) ).

cnf('154',plain,
    ( op(e1,e4) != e4
    | ~ $pr($df182)
    | $pr($df174)
    | $pr($df173) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('155',plain,
    ( ~ $pr($df182)
    | $pr($df174)
    | $pr($df173) ),
    inference(simplify,[],['154','61']) ).

cnf('156',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df173) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('157',plain,
    ~ $pr($df173),
    inference(simplify,[],['156','47']) ).

cnf('158',plain,
    ( ~ $pr($df182)
    | $pr($df174) ),
    inference(resolution,[],['155','157']) ).

cnf('159',plain,
    $pr($df174),
    inference(resolution,[],['153','158']) ).

cnf('160',plain,
    ( op(e1,e3) != e3
    | ~ $pr($df174)
    | $pr($df166)
    | $pr($df165) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('161',plain,
    ( ~ $pr($df174)
    | $pr($df166)
    | $pr($df165) ),
    inference(simplify,[],['160','36']) ).

cnf('162',plain,
    ( op(e0,e1) != e2
    | ~ $pr($df165) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('163',plain,
    ~ $pr($df165),
    inference(simplify,[],['162','8']) ).

cnf('164',plain,
    ( ~ $pr($df174)
    | $pr($df166) ),
    inference(resolution,[],['161','163']) ).

cnf('165',plain,
    $pr($df166),
    inference(resolution,[],['159','164']) ).

cnf('166',plain,
    ( op(e1,e2) != e2
    | ~ $pr($df166)
    | $pr($df158)
    | $pr($df157) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('167',plain,
    ( ~ $pr($df166)
    | $pr($df158)
    | $pr($df157) ),
    inference(simplify,[],['166','65']) ).

cnf('168',plain,
    ( op(e1,e1) != e1
    | ~ $pr($df157) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('169',plain,
    ~ $pr($df157),
    inference(simplify,[],['168','70']) ).

cnf('170',plain,
    ( ~ $pr($df166)
    | $pr($df158) ),
    inference(resolution,[],['167','169']) ).

cnf('171',plain,
    $pr($df158),
    inference(resolution,[],['165','170']) ).

cnf('172',plain,
    ( op(e1,e1) != e1
    | ~ $pr($df158)
    | $pr($df150)
    | $pr($df149) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('173',plain,
    ( ~ $pr($df158)
    | $pr($df150)
    | $pr($df149) ),
    inference(simplify,[],['172','70']) ).

cnf('174',plain,
    ( op(e3,e1) != e0
    | ~ $pr($df149) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('175',plain,
    ~ $pr($df149),
    inference(simplify,[],['174','67']) ).

cnf('176',plain,
    ( ~ $pr($df158)
    | $pr($df150) ),
    inference(resolution,[],['173','175']) ).

cnf('177',plain,
    $pr($df150),
    inference(resolution,[],['171','176']) ).

cnf('178',plain,
    ( op(e1,e0) != e0
    | ~ $pr($df150)
    | $pr($df142)
    | $pr($df141) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('179',plain,
    ( ~ $pr($df150)
    | $pr($df142)
    | $pr($df141) ),
    inference(simplify,[],['178','23']) ).

cnf('180',plain,
    ( op(e0,e0) != e4
    | ~ $pr($df141) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('181',plain,
    ~ $pr($df141),
    inference(simplify,[],['180','9']) ).

cnf('182',plain,
    ( ~ $pr($df150)
    | $pr($df142) ),
    inference(resolution,[],['179','181']) ).

cnf('183',plain,
    $pr($df142),
    inference(resolution,[],['177','182']) ).

cnf('184',plain,
    ( op(e0,e0) != e4
    | ~ $pr($df142)
    | $pr($df134)
    | $pr($df133) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('185',plain,
    ( ~ $pr($df142)
    | $pr($df134)
    | $pr($df133) ),
    inference(simplify,[],['184','9']) ).

cnf('186',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df133) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('187',plain,
    ~ $pr($df133),
    inference(simplify,[],['186','68']) ).

cnf('188',plain,
    ( ~ $pr($df142)
    | $pr($df134) ),
    inference(resolution,[],['185','187']) ).

cnf('189',plain,
    $pr($df134),
    inference(resolution,[],['183','188']) ).

cnf('190',plain,
    $pr($df126),
    inference(simplify,[],['31','189']) ).

cnf('191',plain,
    ( op(e0,e1) != e2
    | ~ $pr($df126)
    | $pr($df118)
    | $pr($df117) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('192',plain,
    ( ~ $pr($df126)
    | $pr($df118)
    | $pr($df117) ),
    inference(simplify,[],['191','8']) ).

cnf('193',plain,
    ( op(e2,e0) != e1
    | ~ $pr($df117) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('194',plain,
    ~ $pr($df117),
    inference(simplify,[],['193','69']) ).

cnf('195',plain,
    ( ~ $pr($df126)
    | $pr($df118) ),
    inference(resolution,[],['192','194']) ).

cnf('196',plain,
    $pr($df118),
    inference(resolution,[],['190','195']) ).

cnf('197',plain,
    $pr($df110),
    inference(simplify,[],['25','196']) ).

cnf('198',plain,
    ( op(e0,e2) != e0
    | ~ $pr($df110)
    | $pr($df102)
    | $pr($df101) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('199',plain,
    ( ~ $pr($df110)
    | $pr($df102)
    | $pr($df101) ),
    inference(simplify,[],['198','7']) ).

cnf('200',plain,
    ( op(e4,e4) != e0
    | ~ $pr($df101) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('201',plain,
    ~ $pr($df101),
    inference(simplify,[],['200','43']) ).

cnf('202',plain,
    ( ~ $pr($df110)
    | $pr($df102) ),
    inference(resolution,[],['199','201']) ).

cnf('203',plain,
    $pr($df102),
    inference(resolution,[],['197','202']) ).

cnf('204',plain,
    ( op(e4,e3) != e4
    | ~ $pr($df102)
    | $pr($df94)
    | $pr($df93) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('205',plain,
    ( ~ $pr($df102)
    | $pr($df94)
    | $pr($df93) ),
    inference(simplify,[],['204','54']) ).

cnf('206',plain,
    ( op(e4,e2) != e1
    | ~ $pr($df93) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('207',plain,
    ~ $pr($df93),
    inference(simplify,[],['206','40']) ).

cnf('208',plain,
    ( ~ $pr($df102)
    | $pr($df94) ),
    inference(resolution,[],['205','207']) ).

cnf('209',plain,
    $pr($df94),
    inference(resolution,[],['203','208']) ).

cnf('210',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df94)
    | $pr($df86)
    | $pr($df85) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('211',plain,
    ( ~ $pr($df94)
    | $pr($df86)
    | $pr($df85) ),
    inference(simplify,[],['210','47']) ).

cnf('212',plain,
    ( op(e4,e0) != e2
    | ~ $pr($df85) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('213',plain,
    ~ $pr($df85),
    inference(simplify,[],['212','29']) ).

cnf('214',plain,
    ( ~ $pr($df94)
    | $pr($df86) ),
    inference(resolution,[],['211','213']) ).

cnf('215',plain,
    $pr($df86),
    inference(resolution,[],['209','214']) ).

cnf('216',plain,
    ( op(e3,e4) != e1
    | ~ $pr($df86)
    | $pr($df78)
    | $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('217',plain,
    ( ~ $pr($df86)
    | $pr($df78)
    | $pr($df77) ),
    inference(simplify,[],['216','60']) ).

cnf('218',plain,
    ( op(e3,e3) != e2
    | ~ $pr($df77) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('219',plain,
    ~ $pr($df77),
    inference(simplify,[],['218','63']) ).

cnf('220',plain,
    ( ~ $pr($df86)
    | $pr($df78) ),
    inference(resolution,[],['217','219']) ).

cnf('221',plain,
    $pr($df78),
    inference(resolution,[],['215','220']) ).

cnf('222',plain,
    ( op(e3,e2) != e4
    | ~ $pr($df78)
    | $pr($df70)
    | $pr($df69) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('223',plain,
    ( ~ $pr($df78)
    | $pr($df70)
    | $pr($df69) ),
    inference(simplify,[],['222','33']) ).

cnf('224',plain,
    ( op(e3,e1) != e0
    | ~ $pr($df69) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('225',plain,
    ~ $pr($df69),
    inference(simplify,[],['224','67']) ).

cnf('226',plain,
    ( ~ $pr($df78)
    | $pr($df70) ),
    inference(resolution,[],['223','225']) ).

cnf('227',plain,
    $pr($df70),
    inference(resolution,[],['221','226']) ).

cnf('228',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df70)
    | $pr($df62)
    | $pr($df61) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('229',plain,
    ( ~ $pr($df70)
    | $pr($df62)
    | $pr($df61) ),
    inference(simplify,[],['228','68']) ).

cnf('230',plain,
    ( op(e2,e4) != e2
    | ~ $pr($df61) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('231',plain,
    ~ $pr($df61),
    inference(simplify,[],['230','50']) ).

cnf('232',plain,
    ( ~ $pr($df70)
    | $pr($df62) ),
    inference(resolution,[],['229','231']) ).

cnf('233',plain,
    $pr($df62),
    inference(resolution,[],['227','232']) ).

cnf('234',plain,
    ( op(e2,e3) != e0
    | ~ $pr($df62)
    | $pr($df54)
    | $pr($df53) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('235',plain,
    ( ~ $pr($df62)
    | $pr($df54)
    | $pr($df53) ),
    inference(simplify,[],['234','66']) ).

cnf('236',plain,
    ( op(e2,e2) != e3
    | ~ $pr($df53) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('237',plain,
    ~ $pr($df53),
    inference(simplify,[],['236','64']) ).

cnf('238',plain,
    ( ~ $pr($df62)
    | $pr($df54) ),
    inference(resolution,[],['235','237']) ).

cnf('239',plain,
    $pr($df54),
    inference(resolution,[],['233','238']) ).

cnf('240',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df54)
    | $pr($df46)
    | $pr($df45) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('241',plain,
    ( ~ $pr($df54)
    | $pr($df46)
    | $pr($df45) ),
    inference(simplify,[],['240','62']) ).

cnf('242',plain,
    ( op(e2,e0) != e1
    | ~ $pr($df45) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('243',plain,
    ~ $pr($df45),
    inference(simplify,[],['242','69']) ).

cnf('244',plain,
    ( ~ $pr($df54)
    | $pr($df46) ),
    inference(resolution,[],['241','243']) ).

cnf('245',plain,
    $pr($df46),
    inference(resolution,[],['239','244']) ).

cnf('246',plain,
    ( op(e1,e4) != e4
    | ~ $pr($df46)
    | $pr($df38)
    | $pr($df37) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('247',plain,
    ( ~ $pr($df46)
    | $pr($df38)
    | $pr($df37) ),
    inference(simplify,[],['246','61']) ).

cnf('248',plain,
    ( op(e1,e3) != e3
    | ~ $pr($df37) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('249',plain,
    ~ $pr($df37),
    inference(simplify,[],['248','36']) ).

cnf('250',plain,
    ( ~ $pr($df46)
    | $pr($df38) ),
    inference(resolution,[],['247','249']) ).

cnf('251',plain,
    $pr($df38),
    inference(resolution,[],['245','250']) ).

cnf('252',plain,
    ( op(e1,e2) != e2
    | ~ $pr($df38)
    | $pr($df30)
    | $pr($df29) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('253',plain,
    ( ~ $pr($df38)
    | $pr($df30)
    | $pr($df29) ),
    inference(simplify,[],['252','65']) ).

cnf('254',plain,
    ( op(e1,e1) != e1
    | ~ $pr($df29) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('255',plain,
    ~ $pr($df29),
    inference(simplify,[],['254','70']) ).

cnf('256',plain,
    ( ~ $pr($df38)
    | $pr($df30) ),
    inference(resolution,[],['253','255']) ).

cnf('257',plain,
    $pr($df30),
    inference(resolution,[],['251','256']) ).

cnf('258',plain,
    ( op(e1,e0) != e0
    | ~ $pr($df30)
    | $pr($df22)
    | $pr($df21) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('259',plain,
    ( ~ $pr($df30)
    | $pr($df22)
    | $pr($df21) ),
    inference(simplify,[],['258','23']) ).

cnf('260',plain,
    ( op(e0,e4) != e3
    | ~ $pr($df21) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('261',plain,
    ~ $pr($df21),
    inference(simplify,[],['260','5']) ).

cnf('262',plain,
    ( ~ $pr($df30)
    | $pr($df22) ),
    inference(resolution,[],['259','261']) ).

cnf('263',plain,
    $pr($df22),
    inference(resolution,[],['257','262']) ).

cnf('264',plain,
    ( op(e0,e3) != e1
    | ~ $pr($df22)
    | $pr($df14)
    | $pr($df13) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('265',plain,
    ( ~ $pr($df22)
    | $pr($df14)
    | $pr($df13) ),
    inference(simplify,[],['264','6']) ).

cnf('266',plain,
    ( op(e0,e2) != e0
    | ~ $pr($df13) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('267',plain,
    ~ $pr($df13),
    inference(simplify,[],['266','7']) ).

cnf('268',plain,
    ( ~ $pr($df22)
    | $pr($df14) ),
    inference(resolution,[],['265','267']) ).

cnf('269',plain,
    $pr($df14),
    inference(resolution,[],['263','268']) ).

cnf('270',plain,
    ( op(e0,e1) != e2
    | ~ $pr($df14)
    | $pr($df1)
    | $pr($df2) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('271',plain,
    ( ~ $pr($df14)
    | $pr($df1)
    | $pr($df2) ),
    inference(simplify,[],['270','8']) ).

cnf('272',plain,
    ( op(e0,e0) != e4
    | ~ $pr($df1) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('273',plain,
    ~ $pr($df1),
    inference(simplify,[],['272','9']) ).

cnf('274',plain,
    ( ~ $pr($df14)
    | $pr($df2) ),
    inference(resolution,[],['271','273']) ).

cnf('275',plain,
    $pr($df2),
    inference(resolution,[],['269','274']) ).

cnf('276',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df3) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('277',plain,
    ( e2 != e1
    | ~ $pr($df3) ),
    inference(simplify,[],['276','8']) ).

cnf('278',plain,
    e2 != e1,
    inference(resolution,[],['14','277']) ).

cnf('279',plain,
    $false,
    inference(resolution,[then_simplify],['17','19','275','278']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG187+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command  : gkc %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.35  % DateTime : Mon Aug 28 03:58:36 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.41  
% 0.12/0.41  input clause set summed statistics:
% 0.12/0.41  ----------------------------------
% 0.12/0.41  in_clause_count:                  1584
% 0.12/0.41  in_rule_clause_count:             1584
% 0.12/0.41  in_fact_clause_count:                0
% 0.12/0.41  in_answer_clause_count:              0
% 0.12/0.41  in_ground_clause_count:           1584
% 0.12/0.41  in_unit_clause_count:               35
% 0.12/0.41  in_horn_clause_count:              810
% 0.12/0.41  in_pos_clause_count:               104
% 0.12/0.41  in_neg_clause_count:               595
% 0.12/0.41  in_poseq_clause_count:             261
% 0.12/0.41  in_negeq_clause_count:             563
% 0.12/0.41  in_unitposeq_clause_count:          25
% 0.12/0.41  in_chain_clause_count:               0
% 0.12/0.41  in_min_length:             1
% 0.12/0.41  in_max_length:            27
% 0.12/0.41  in_min_depth:              1
% 0.12/0.41  in_max_depth:              3
% 0.12/0.41  in_min_size:               3
% 0.12/0.41  in_max_size:             229
% 0.12/0.41  in_min_vars:               0
% 0.12/0.41  in_max_vars:               0
% 0.12/0.41  in_extaxiom_count:                 0
% 0.12/0.41  in_axiom_count:                   35
% 0.12/0.41  in_assumption_count:               0
% 0.12/0.41  in_goal_count:                  1549
% 0.12/0.41  in_neg_goal_count:               585
% 0.12/0.41  in_pos_goal_count:                79
% 0.12/0.41  in_posunit_goal_count:             0
% 0.12/0.41  
% 0.12/0.41  auto guide:
% 0.12/0.41  -----------
% 0.12/0.41  {
% 0.12/0.41  "print":1,
% 0.12/0.41  "print_level": 15,
% 0.12/0.41  "max_size": 0,
% 0.12/0.41  "max_depth": 0,
% 0.12/0.41  "max_length": 0,
% 0.12/0.41  "max_dseconds": 0,
% 0.12/0.41  "runs":[
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.12/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.12/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.12/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.12/0.41  {"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},
% 0.12/0.41  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.41  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.41  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.12/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.12/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.12/0.41  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.12/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.41  
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.12/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.12/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.12/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.12/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
% 0.12/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.12/0.41  {"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":10},
% 0.12/0.41  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.12/0.41  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.12/0.41  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.41  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
% 0.12/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":10},
% 0.12/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":10},
% 0.12/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.12/0.41  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":10},
% 0.12/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.12/0.41  
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.12/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.12/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.12/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.12/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.12/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.12/0.41  {"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},
% 0.12/0.41  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.12/0.41  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.12/0.41  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.12/0.41  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.41  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.12/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.12/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.12/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.12/0.41  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.12/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.12/0.41  
% 0.12/0.41  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.41  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.12/0.41  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.12/0.41  
% 0.12/0.41  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.41  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1} 
% 0.12/0.41  
% 0.12/0.41  ]}
% 0.12/0.41  
% 0.12/0.41  
% 0.12/0.41  **** run 1 fork 0 starts with strategy
% 0.12/0.41  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.12/0.41  
% 0.12/0.41  **** run 2 fork 1 starts with strategy
% 0.18/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.18/0.41  
% 0.18/0.41  **** run 3 fork 2 starts with strategy
% 0.18/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.18/0.41  
% 0.18/0.41  **** run 4 fork 3 starts with strategy
% 0.18/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.18/0.41  
% 0.18/0.41  **** run 5 fork 4 starts with strategy
% 0.18/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.18/0.41  
% 0.18/0.41  **** run 7 fork 6 starts with strategy
% 0.18/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.18/0.41  
% 0.18/0.41  **** run 8 fork 7 starts with strategy
% 0.18/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.18/0.41  
% 0.18/0.41  **** run 6 fork 5 starts with strategy
% 0.18/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.18/0.45  
% 0.18/0.45  fork 0: search finished without proof.
% 0.18/0.48  
% 0.18/0.48  **** run 9 fork 0 starts with strategy
% 0.18/0.48  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.18/0.54  
% 0.18/0.54  fork 7: search finished without proof.
% 0.18/0.54  
% 0.18/0.54  fork 3: search finished without proof.
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  fork 1: search terminated without proof.
% 0.18/0.57  
% 0.18/0.57  **** run 16 fork 7 starts with strategy
% 0.18/0.57  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.18/0.57  
% 0.18/0.57  **** run 12 fork 3 starts with strategy
% 0.18/0.57  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.57  
% 0.18/0.57  **** run 10 fork 1 starts with strategy
% 0.18/0.57  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.18/0.61  
% 0.18/0.61  
% 0.18/0.61  fork 0: search terminated without proof.
% 0.18/0.63  
% 0.18/0.63  **** run 17 fork 0 starts with strategy
% 0.18/0.63  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.69  
% 0.18/0.69  fork 7: search finished without proof.
% 0.18/0.70  
% 0.18/0.70  fork 1: search finished without proof.
% 0.18/0.72  
% 0.18/0.72  **** run 24 fork 7 starts with strategy
% 0.18/0.72  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.18/0.72  
% 0.18/0.72  **** run 18 fork 1 starts with strategy
% 0.18/0.72  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 1.68/0.77  
% 1.68/0.77  
% 1.68/0.77  fork 0: search terminated without proof.
% 1.68/0.79  
% 1.68/0.79  **** run 25 fork 0 starts with strategy
% 1.68/0.79  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 2.10/0.85  
% 2.10/0.85  
% 2.10/0.85  fork 7: search terminated without proof.
% 2.10/0.85  
% 2.10/0.85  fork 1: search finished without proof.
% 2.10/0.86  
% 2.10/0.86  
% 2.10/0.86  result: proof found
% 2.10/0.86  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.10/0.86  by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 2.10/0.86  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.10/0.86  
% 2.10/0.86  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 2.10/0.87  
% 2.10/0.87  run 3 fork 2 statistics:
% 2.10/0.87  ----------------------------------
% 2.10/0.87  this run seconds: 0.056972
% 2.10/0.87  total seconds: 0.094428
% 2.10/0.87  stat_given_used: 1372
% 2.10/0.87  stat_given_used_at_endgame: 0
% 2.10/0.87  stat_given_candidates:   2565
% 2.10/0.87  stat_given_candidates_at_endgame: 0
% 2.10/0.87  stat_given_candidates_h: 0
% 2.10/0.87  stat_binres_derived_cl:   971
% 2.10/0.87  stat_binres_derived_cl_h: 0
% 2.10/0.87  stat_factor_derived_cl: 0
% 2.10/0.87  stat_para_derived_cl: 1874
% 2.10/0.87  stat_tautologies_discarded: 0
% 2.10/0.87  stat_forward_subsumed: 1666
% 2.10/0.87  stat_derived_cut: 521
% 2.10/0.87  stat_derived_rewritten: 499
% 2.10/0.87  stat_weight_discarded_building: 0
% 2.10/0.87  stat_weight_discarded_cl: 0
% 2.10/0.87  stat_internlimit_discarded_cl: 0
% 2.10/0.87  stat_simplified:  731 simplified 0 derived 0 given
% 2.10/0.87  stat_kept_cl: 1128
% 2.10/0.87  stat_built_cl: 4603
% 2.10/0.87  stat_hyperres_partial_cl: 0
% 2.10/0.87  stat_made_rewriters: 25
% 2.10/0.87  stat_backward_subsumed: 0
% 2.10/0.87  stat_propagated_subsumed: 0
% 2.10/0.87  stat_clsubs_attempted:                      1693
% 2.10/0.87  stat_clsubs_fact_groundunit_found:             6
% 2.10/0.87  stat_clsubs_rule_groundunit_found:           263
% 2.10/0.87  stat_clsubs_top_meta_attempted:             863561
% 2.10/0.87  stat_clsubs_top_meta_failed:                861868
% 2.10/0.87  stat_clsubs_top_meta_nonpref_attempted:              863561
% 2.10/0.87  stat_clsubs_top_meta_nonpref_succeeded:              280502
% 2.10/0.87  stat_clsubs_top_meta_pref_attempted:                 280502
% 2.10/0.87  stat_clsubs_top_meta_pref1_succeeded:                227581
% 2.10/0.87  stat_clsubs_top_meta_pref2_succeeded:                  1964
% 2.10/0.87  stat_clsubs_top_meta_pref3_succeeded:                  1693
% 2.10/0.87  stat_clsubs_top_meta_pref_succeeded:                   1693
% 2.10/0.87  stat_clsubs_meta_attempted:                 3424
% 2.10/0.87  stat_clsubs_meta_failed:                    2833
% 2.10/0.87  stat_clsubs_predsymbs_attempted:               0
% 2.10/0.87  stat_clsubs_unit_attempted:                    0
% 2.10/0.87  stat_clsubs_full_attempted:                 1693
% 2.10/0.87  stat_forwardsubs_attempted:                 2795
% 2.10/0.87  stat_lit_hash_added:                   2872
% 2.10/0.87  stat_lit_hash_computed:               21159
% 2.10/0.87  stat_lit_hash_match_found:             3211
% 2.10/0.87  stat_lit_hash_match_miss:             19737
% 2.10/0.87  stat_lit_hash_cut_ok:                   733
% 2.10/0.87  stat_lit_strong_cut_ok:                   0
% 2.10/0.87  stat_lit_hash_subsume_ok:              1666
% 2.10/0.87  clqueue els 10000000 used 1
% 2.10/0.87  clactive els 10000000 used 1373
% 2.10/0.87  clactivesubsume els 10000000 used 6175
% 2.10/0.87  queue_termbuf els 200000000 used 88791
% 2.10/0.87  hyper_termbuf els 100000000 used 1
% 2.10/0.87  active_termbuf els 100000000 used 27779
% 2.10/0.87  varstack els 5000 last used 1
% 2.10/0.87  given_termbuf els 10000000 last used 1
% 2.10/0.87  simplified_termbuf els 10000000 last used 1
% 2.10/0.87  derived_termbuf els 10000000 last used 31
% 2.10/0.87  wr_mallocs: 12359
% 2.10/0.87  wr_callocs: 21
% 2.10/0.87  wr_reallocs: 831
% 2.10/0.87  wr_frees: 4
% 2.10/0.87  wr_malloc_bytes: 4163010788
% 2.10/0.87  wr_calloc_bytes: 112065536
% 2.10/0.87  wr_realloc_bytes: 220168
% 2.10/0.87  wr_realloc_freebytes: 0
% 2.10/0.87  ----------------------------------
%------------------------------------------------------------------------------