TSTP Solution File: ALG091+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG091+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n032.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 16:27:47 EDT 2023

% Result   : Theorem 0.12s 0.46s
% Output   : CNFRefutation 0.12s
% 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 )
    | ( op(e4,e4) != e4
      & op(e4,e4) = e4 )
    | ( op(e4,e3) != e4
      & op(e4,e4) = e3 )
    | ( op(e4,e2) != e4
      & op(e4,e4) = e2 )
    | ( op(e4,e1) != e4
      & op(e4,e4) = e1 )
    | ( op(e4,e0) != e4
      & op(e4,e4) = e0 )
    | ( op(e3,e4) != e3
      & op(e3,e3) = e4 )
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3 )
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2 )
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1 )
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0 )
    | ( op(e2,e4) != e2
      & op(e2,e2) = e4 )
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3 )
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2 )
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1 )
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0 )
    | ( op(e1,e4) != e1
      & op(e1,e1) = e4 )
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3 )
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2 )
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1 )
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0 )
    | ( op(e0,e4) != e0
      & op(e0,e0) = e4 )
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3 )
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2 )
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1 )
    | ( op(e0,e0) != e0
      & op(e0,e0) = e0 ) ),
    inference(negpush_and_skolemize,[],[co1]) ).

fof(co1,conjecture,
    ( ( op(e0,e0) != e0
      | op(e0,e0) = e0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) = e0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0 )
    & ( op(e0,e0) != e4
      | op(e0,e4) = e0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) = e1 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1 )
    & ( op(e1,e1) != e2
      | op(e1,e2) = e1 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1 )
    & ( op(e1,e1) != e4
      | op(e1,e4) = e1 )
    & ( op(e2,e2) != e0
      | op(e2,e0) = e2 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2 )
    & ( op(e2,e2) != e4
      | op(e2,e4) = e2 )
    & ( op(e3,e3) != e0
      | op(e3,e0) = e3 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3 )
    & ( op(e3,e3) != e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3 )
    & ( op(e3,e3) != e4
      | op(e3,e4) = e3 )
    & ( op(e4,e4) != e0
      | op(e4,e0) = e4 )
    & ( op(e4,e4) != e1
      | op(e4,e1) = e4 )
    & ( op(e4,e4) != e2
      | op(e4,e2) = e4 )
    & ( op(e4,e4) != e3
      | op(e4,e3) = e4 )
    & ( op(e4,e4) != e4
      | 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(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('ax2_$sk',plain,
    ( op(e4,e4) = e0
    & op(e4,e3) = e2
    & op(e4,e2) = e1
    & op(e4,e1) = e3
    & op(e4,e0) = e4
    & op(e3,e4) = e1
    & op(e3,e3) = e0
    & op(e3,e2) = e4
    & op(e3,e1) = e2
    & op(e3,e0) = e3
    & op(e2,e4) = e3
    & op(e2,e3) = e1
    & op(e2,e2) = e0
    & op(e2,e1) = e4
    & op(e2,e0) = e2
    & op(e1,e4) = e2
    & op(e1,e3) = e4
    & op(e1,e2) = e3
    & 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) = e3
    & op(e1,e3) = e4
    & op(e1,e4) = e2
    & op(e2,e0) = e2
    & op(e2,e1) = e4
    & op(e2,e2) = e0
    & op(e2,e3) = e1
    & op(e2,e4) = e3
    & op(e3,e0) = e3
    & op(e3,e1) = e2
    & op(e3,e2) = e4
    & op(e3,e3) = e0
    & op(e3,e4) = e1
    & op(e4,e0) = e4
    & op(e4,e1) = e3
    & op(e4,e2) = e1
    & op(e4,e3) = e2
    & op(e4,e4) = e0 ),
    input ).

fof(ax3,axiom,
    unit = e0,
    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,
    ( 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
    | op(e4,e4) != e0
    | ~ $pr($df196)
    | $pr($df188)
    | $pr($df187) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('2',plain,
    ( op(e0,e4) != e4
    | ~ $pr($df256)
    | $pr($df248)
    | $pr($df247) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('3',plain,
    op(e0,e4) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('4',plain,
    ( ~ $pr($df256)
    | $pr($df248)
    | $pr($df247) ),
    inference(simplify,[],['2','3']) ).

cnf('5',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df247) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

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

cnf('7',plain,
    ~ $pr($df247),
    inference(simplify,[],['5','6']) ).

cnf('8',plain,
    ( ~ $pr($df256)
    | $pr($df248) ),
    inference(resolution,[],['4','7']) ).

cnf('9',plain,
    ( op(e1,e3) != e4
    | ~ $pr($df296)
    | $pr($df288)
    | $pr($df287) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('10',plain,
    op(e1,e3) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('11',plain,
    ( ~ $pr($df296)
    | $pr($df288)
    | $pr($df287) ),
    inference(simplify,[],['9','10']) ).

cnf('12',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df287) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('13',plain,
    op(e4,e1) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('14',plain,
    ~ $pr($df287),
    inference(simplify,[],['12','13']) ).

cnf('15',plain,
    ( ~ $pr($df296)
    | $pr($df288) ),
    inference(resolution,[],['11','14']) ).

cnf('16',plain,
    ( op(e3,e1) != e2
    | ~ $pr($df360)
    | $pr($df352)
    | $pr($df351) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('17',plain,
    op(e3,e1) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('18',plain,
    ( ~ $pr($df360)
    | $pr($df352)
    | $pr($df351) ),
    inference(simplify,[],['16','17']) ).

cnf('19',plain,
    ( op(e2,e3) != e1
    | ~ $pr($df351) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('20',plain,
    op(e2,e3) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('21',plain,
    ~ $pr($df351),
    inference(simplify,[],['19','20']) ).

cnf('22',plain,
    ( ~ $pr($df360)
    | $pr($df352) ),
    inference(resolution,[],['18','21']) ).

cnf('23',plain,
    ( op(e3,e2) != e4
    | ~ $pr($df376)
    | $pr($df368)
    | $pr($df367) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('24',plain,
    op(e3,e2) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('25',plain,
    ( ~ $pr($df376)
    | $pr($df368)
    | $pr($df367) ),
    inference(simplify,[],['23','24']) ).

cnf('26',plain,
    ( op(e0,e3) != e3
    | ~ $pr($df367) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('27',plain,
    op(e0,e3) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('28',plain,
    ~ $pr($df367),
    inference(simplify,[],['26','27']) ).

cnf('29',plain,
    ( ~ $pr($df376)
    | $pr($df368) ),
    inference(resolution,[],['25','28']) ).

cnf('30',plain,
    ( op(e4,e3) != e2
    | ~ $pr($df400)
    | $pr($df392)
    | $pr($df391) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('31',plain,
    op(e4,e3) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('32',plain,
    ( ~ $pr($df400)
    | $pr($df392)
    | $pr($df391) ),
    inference(simplify,[],['30','31']) ).

cnf('33',plain,
    ( op(e3,e4) != e1
    | ~ $pr($df391) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('34',plain,
    op(e3,e4) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('35',plain,
    ~ $pr($df391),
    inference(simplify,[],['33','34']) ).

cnf('36',plain,
    ( ~ $pr($df400)
    | $pr($df392) ),
    inference(resolution,[],['32','35']) ).

cnf('37',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df408)
    | $pr($df400)
    | $pr($df399) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('38',plain,
    ( op(e4,e0) != e4
    | ~ $pr($df416)
    | $pr($df408)
    | $pr($df407) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('39',plain,
    op(e4,e0) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('40',plain,
    ( op(e0,e4) != e4
    | ~ $pr($df415) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('41',plain,
    ~ $pr($df415),
    inference(simplify,[],['40','3']) ).

cnf('42',plain,
    ( $pr($df416)
    | $pr($df415) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('43',plain,
    $pr($df416),
    inference(resolution,[],['41','42']) ).

cnf('44',plain,
    ( $pr($df408)
    | $pr($df407) ),
    inference(simplify,[then_simplify],['38','39','43']) ).

cnf('45',plain,
    ( op(e2,e4) != e3
    | ~ $pr($df407) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('46',plain,
    op(e2,e4) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('47',plain,
    ~ $pr($df407),
    inference(simplify,[],['45','46']) ).

cnf('48',plain,
    $pr($df408),
    inference(resolution,[],['44','47']) ).

cnf('49',plain,
    ( $pr($df400)
    | $pr($df399) ),
    inference(simplify,[then_simplify],['37','13','48']) ).

cnf('50',plain,
    ( op(e1,e4) != e2
    | ~ $pr($df399) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('51',plain,
    op(e1,e4) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('52',plain,
    ~ $pr($df399),
    inference(simplify,[],['50','51']) ).

cnf('53',plain,
    $pr($df400),
    inference(resolution,[],['49','52']) ).

cnf('54',plain,
    $pr($df392),
    inference(simplify,[],['36','53']) ).

cnf('55',plain,
    ( op(e4,e2) != e1
    | ~ $pr($df392)
    | $pr($df384)
    | $pr($df383) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('56',plain,
    op(e4,e2) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('57',plain,
    ( ~ $pr($df392)
    | $pr($df384)
    | $pr($df383) ),
    inference(simplify,[],['55','56']) ).

cnf('58',plain,
    ( op(e4,e4) != e0
    | ~ $pr($df383) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('59',plain,
    op(e4,e4) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('60',plain,
    ~ $pr($df383),
    inference(simplify,[],['58','59']) ).

cnf('61',plain,
    ( ~ $pr($df392)
    | $pr($df384) ),
    inference(resolution,[],['57','60']) ).

cnf('62',plain,
    $pr($df384),
    inference(resolution,[],['54','61']) ).

cnf('63',plain,
    ( op(e4,e4) != e0
    | ~ $pr($df384)
    | $pr($df376)
    | $pr($df375) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('64',plain,
    ( ~ $pr($df384)
    | $pr($df376)
    | $pr($df375) ),
    inference(simplify,[],['63','59']) ).

cnf('65',plain,
    ( op(e1,e3) != e4
    | ~ $pr($df375) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('66',plain,
    ~ $pr($df375),
    inference(simplify,[],['65','10']) ).

cnf('67',plain,
    ( ~ $pr($df384)
    | $pr($df376) ),
    inference(resolution,[],['64','66']) ).

cnf('68',plain,
    $pr($df376),
    inference(resolution,[],['62','67']) ).

cnf('69',plain,
    $pr($df368),
    inference(simplify,[],['29','68']) ).

cnf('70',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df368)
    | $pr($df360)
    | $pr($df359) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('71',plain,
    ( ~ $pr($df368)
    | $pr($df360)
    | $pr($df359) ),
    inference(simplify,[],['70','6']) ).

cnf('72',plain,
    ( op(e4,e3) != e2
    | ~ $pr($df359) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('73',plain,
    ~ $pr($df359),
    inference(simplify,[],['72','31']) ).

cnf('74',plain,
    ( ~ $pr($df368)
    | $pr($df360) ),
    inference(resolution,[],['71','73']) ).

cnf('75',plain,
    $pr($df360),
    inference(resolution,[],['69','74']) ).

cnf('76',plain,
    $pr($df352),
    inference(simplify,[],['22','75']) ).

cnf('77',plain,
    ( op(e3,e4) != e1
    | ~ $pr($df352)
    | $pr($df344)
    | $pr($df343) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('78',plain,
    ( ~ $pr($df352)
    | $pr($df344)
    | $pr($df343) ),
    inference(simplify,[],['77','34']) ).

cnf('79',plain,
    ( op(e3,e3) != e0
    | ~ $pr($df343) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('80',plain,
    op(e3,e3) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('81',plain,
    ~ $pr($df343),
    inference(simplify,[],['79','80']) ).

cnf('82',plain,
    ( ~ $pr($df352)
    | $pr($df344) ),
    inference(resolution,[],['78','81']) ).

cnf('83',plain,
    $pr($df344),
    inference(resolution,[],['76','82']) ).

cnf('84',plain,
    ( op(e3,e3) != e0
    | ~ $pr($df344)
    | $pr($df336)
    | $pr($df335) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('85',plain,
    ( ~ $pr($df344)
    | $pr($df336)
    | $pr($df335) ),
    inference(simplify,[],['84','80']) ).

cnf('86',plain,
    ( op(e3,e2) != e4
    | ~ $pr($df335) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('87',plain,
    ~ $pr($df335),
    inference(simplify,[],['86','24']) ).

cnf('88',plain,
    ( ~ $pr($df344)
    | $pr($df336) ),
    inference(resolution,[],['85','87']) ).

cnf('89',plain,
    $pr($df336),
    inference(resolution,[],['83','88']) ).

cnf('90',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df336)
    | $pr($df328)
    | $pr($df327) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('91',plain,
    op(e2,e1) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('92',plain,
    ( ~ $pr($df336)
    | $pr($df328)
    | $pr($df327) ),
    inference(simplify,[],['90','91']) ).

cnf('93',plain,
    ( op(e1,e2) != e3
    | ~ $pr($df327) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('94',plain,
    op(e1,e2) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('95',plain,
    ~ $pr($df327),
    inference(simplify,[],['93','94']) ).

cnf('96',plain,
    ( ~ $pr($df336)
    | $pr($df328) ),
    inference(resolution,[],['92','95']) ).

cnf('97',plain,
    $pr($df328),
    inference(resolution,[],['89','96']) ).

cnf('98',plain,
    ( op(e2,e4) != e3
    | ~ $pr($df328)
    | $pr($df320)
    | $pr($df319) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('99',plain,
    ( ~ $pr($df328)
    | $pr($df320)
    | $pr($df319) ),
    inference(simplify,[],['98','46']) ).

cnf('100',plain,
    ( op(e0,e2) != e2
    | ~ $pr($df319) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('101',plain,
    op(e0,e2) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('102',plain,
    ~ $pr($df319),
    inference(simplify,[],['100','101']) ).

cnf('103',plain,
    ( ~ $pr($df328)
    | $pr($df320) ),
    inference(resolution,[],['99','102']) ).

cnf('104',plain,
    $pr($df320),
    inference(resolution,[],['97','103']) ).

cnf('105',plain,
    ( op(e2,e0) != e2
    | ~ $pr($df320)
    | $pr($df312)
    | $pr($df311) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('106',plain,
    op(e2,e0) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('107',plain,
    ( ~ $pr($df320)
    | $pr($df312)
    | $pr($df311) ),
    inference(simplify,[],['105','106']) ).

cnf('108',plain,
    ( op(e4,e2) != e1
    | ~ $pr($df311) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('109',plain,
    ~ $pr($df311),
    inference(simplify,[],['108','56']) ).

cnf('110',plain,
    ( ~ $pr($df320)
    | $pr($df312) ),
    inference(resolution,[],['107','109']) ).

cnf('111',plain,
    $pr($df312),
    inference(resolution,[],['104','110']) ).

cnf('112',plain,
    ( op(e2,e3) != e1
    | ~ $pr($df312)
    | $pr($df304)
    | $pr($df303) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('113',plain,
    ( ~ $pr($df312)
    | $pr($df304)
    | $pr($df303) ),
    inference(simplify,[],['112','20']) ).

cnf('114',plain,
    ( op(e2,e2) != e0
    | ~ $pr($df303) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('115',plain,
    op(e2,e2) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('116',plain,
    ~ $pr($df303),
    inference(simplify,[],['114','115']) ).

cnf('117',plain,
    ( ~ $pr($df312)
    | $pr($df304) ),
    inference(resolution,[],['113','116']) ).

cnf('118',plain,
    $pr($df304),
    inference(resolution,[],['111','117']) ).

cnf('119',plain,
    ( op(e2,e2) != e0
    | ~ $pr($df304)
    | $pr($df296)
    | $pr($df295) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('120',plain,
    ( ~ $pr($df304)
    | $pr($df296)
    | $pr($df295) ),
    inference(simplify,[],['119','115']) ).

cnf('121',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df295) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('122',plain,
    ~ $pr($df295),
    inference(simplify,[],['121','91']) ).

cnf('123',plain,
    ( ~ $pr($df304)
    | $pr($df296) ),
    inference(resolution,[],['120','122']) ).

cnf('124',plain,
    $pr($df296),
    inference(resolution,[],['118','123']) ).

cnf('125',plain,
    $pr($df288),
    inference(simplify,[],['15','124']) ).

cnf('126',plain,
    ( op(e1,e2) != e3
    | ~ $pr($df288)
    | $pr($df280)
    | $pr($df279) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('127',plain,
    ( ~ $pr($df288)
    | $pr($df280)
    | $pr($df279) ),
    inference(simplify,[],['126','94']) ).

cnf('128',plain,
    ( op(e3,e1) != e2
    | ~ $pr($df279) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('129',plain,
    ~ $pr($df279),
    inference(simplify,[],['128','17']) ).

cnf('130',plain,
    ( ~ $pr($df288)
    | $pr($df280) ),
    inference(resolution,[],['127','129']) ).

cnf('131',plain,
    $pr($df280),
    inference(resolution,[],['125','130']) ).

cnf('132',plain,
    ( op(e1,e4) != e2
    | ~ $pr($df280)
    | $pr($df272)
    | $pr($df271) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('133',plain,
    ( ~ $pr($df280)
    | $pr($df272)
    | $pr($df271) ),
    inference(simplify,[],['132','51']) ).

cnf('134',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df271) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('135',plain,
    op(e0,e1) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('136',plain,
    ~ $pr($df271),
    inference(simplify,[],['134','135']) ).

cnf('137',plain,
    ( ~ $pr($df280)
    | $pr($df272) ),
    inference(resolution,[],['133','136']) ).

cnf('138',plain,
    $pr($df272),
    inference(resolution,[],['131','137']) ).

cnf('139',plain,
    ( op(e1,e0) != e1
    | ~ $pr($df272)
    | $pr($df264)
    | $pr($df263) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('140',plain,
    op(e1,e0) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('141',plain,
    ( ~ $pr($df272)
    | $pr($df264)
    | $pr($df263) ),
    inference(simplify,[],['139','140']) ).

cnf('142',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df263) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('143',plain,
    op(e1,e1) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('144',plain,
    ~ $pr($df263),
    inference(simplify,[],['142','143']) ).

cnf('145',plain,
    ( ~ $pr($df272)
    | $pr($df264) ),
    inference(resolution,[],['141','144']) ).

cnf('146',plain,
    $pr($df264),
    inference(resolution,[],['138','145']) ).

cnf('147',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df264)
    | $pr($df256)
    | $pr($df255) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('148',plain,
    ( ~ $pr($df264)
    | $pr($df256)
    | $pr($df255) ),
    inference(simplify,[],['147','143']) ).

cnf('149',plain,
    ( op(e4,e0) != e4
    | ~ $pr($df255) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('150',plain,
    ~ $pr($df255),
    inference(simplify,[],['149','39']) ).

cnf('151',plain,
    ( ~ $pr($df264)
    | $pr($df256) ),
    inference(resolution,[],['148','150']) ).

cnf('152',plain,
    $pr($df256),
    inference(resolution,[],['146','151']) ).

cnf('153',plain,
    $pr($df248),
    inference(simplify,[],['8','152']) ).

cnf('154',plain,
    ( op(e0,e3) != e3
    | ~ $pr($df248)
    | $pr($df240)
    | $pr($df239) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('155',plain,
    ( ~ $pr($df248)
    | $pr($df240)
    | $pr($df239) ),
    inference(simplify,[],['154','27']) ).

cnf('156',plain,
    ( op(e2,e0) != e2
    | ~ $pr($df239) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('157',plain,
    ~ $pr($df239),
    inference(simplify,[],['156','106']) ).

cnf('158',plain,
    ( ~ $pr($df248)
    | $pr($df240) ),
    inference(resolution,[],['155','157']) ).

cnf('159',plain,
    $pr($df240),
    inference(resolution,[],['153','158']) ).

cnf('160',plain,
    ( op(e0,e2) != e2
    | ~ $pr($df240)
    | $pr($df232)
    | $pr($df231) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('161',plain,
    ( ~ $pr($df240)
    | $pr($df232)
    | $pr($df231) ),
    inference(simplify,[],['160','101']) ).

cnf('162',plain,
    ( op(e1,e0) != e1
    | ~ $pr($df231) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('163',plain,
    ~ $pr($df231),
    inference(simplify,[],['162','140']) ).

cnf('164',plain,
    ( ~ $pr($df240)
    | $pr($df232) ),
    inference(resolution,[],['161','163']) ).

cnf('165',plain,
    $pr($df232),
    inference(resolution,[],['159','164']) ).

cnf('166',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df232)
    | $pr($df224)
    | $pr($df223) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('167',plain,
    ( ~ $pr($df232)
    | $pr($df224)
    | $pr($df223) ),
    inference(simplify,[],['166','135']) ).

cnf('168',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df223) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('169',plain,
    op(e0,e0) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('170',plain,
    ~ $pr($df223),
    inference(simplify,[],['168','169']) ).

cnf('171',plain,
    ( ~ $pr($df232)
    | $pr($df224) ),
    inference(resolution,[],['167','170']) ).

cnf('172',plain,
    $pr($df224),
    inference(resolution,[],['165','171']) ).

cnf('173',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df224)
    | $pr($df196)
    | $pr($df195) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('174',plain,
    ( ~ $pr($df224)
    | $pr($df196)
    | $pr($df195) ),
    inference(simplify,[],['173','169']) ).

cnf('175',plain,
    ( unit != e0
    | ~ $pr($df195) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('176',plain,
    unit = e0,
    inference(cnf_transformation,[],[ax3]) ).

cnf('177',plain,
    ~ $pr($df195),
    inference(simplify,[],['175','176']) ).

cnf('178',plain,
    ( ~ $pr($df224)
    | $pr($df196) ),
    inference(resolution,[],['174','177']) ).

cnf('179',plain,
    $pr($df196),
    inference(resolution,[],['172','178']) ).

cnf('180',plain,
    unit = e0,
    inference(cnf_transformation,[],[ax3]) ).

cnf('181',plain,
    op(e0,e4) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('182',plain,
    op(unit,e4) = e4,
    inference(paramodulation,[],['180','181']) ).

cnf('183',plain,
    op(e4,e0) = e4,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('184',plain,
    op(e4,unit) = e4,
    inference(paramodulation,[],['180','183']) ).

cnf('185',plain,
    op(e0,e3) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('186',plain,
    op(unit,e3) = e3,
    inference(paramodulation,[],['180','185']) ).

cnf('187',plain,
    op(e3,e0) = e3,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('188',plain,
    op(e3,unit) = e3,
    inference(paramodulation,[],['180','187']) ).

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

cnf('190',plain,
    op(unit,e2) = e2,
    inference(paramodulation,[],['180','189']) ).

cnf('191',plain,
    op(e2,e0) = e2,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('192',plain,
    op(e2,unit) = e2,
    inference(paramodulation,[],['180','191']) ).

cnf('193',plain,
    op(e0,e1) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('194',plain,
    op(unit,e1) = e1,
    inference(paramodulation,[],['180','193']) ).

cnf('195',plain,
    op(e1,e0) = e1,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('196',plain,
    op(e1,unit) = e1,
    inference(paramodulation,[],['180','195']) ).

cnf('197',plain,
    op(e0,e0) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('198',plain,
    op(e0,e0) = unit,
    inference(paramodulation,[],['180','197']) ).

cnf('199',plain,
    op(unit,unit) = unit,
    inference(simplify,[then_simplify],['198','180','180']) ).

cnf('200',plain,
    op(e4,e4) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('201',plain,
    ( $pr($df188)
    | $pr($df187) ),
    inference(simplify,[then_simplify],['1','179','182','184','186','188','190','192','194','196','180','199','180','180','199','180','200','180','180']) ).

cnf('202',plain,
    ( op(e4,e3) != e2
    | ~ $pr($df187) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('203',plain,
    ~ $pr($df187),
    inference(simplify,[],['202','31']) ).

cnf('204',plain,
    $pr($df188),
    inference(resolution,[],['201','203']) ).

cnf('205',plain,
    ( op(e4,e2) != e1
    | ~ $pr($df188)
    | $pr($df180)
    | $pr($df179) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('206',plain,
    ( ~ $pr($df188)
    | $pr($df180)
    | $pr($df179) ),
    inference(simplify,[],['205','56']) ).

cnf('207',plain,
    ( op(e4,e1) != e3
    | ~ $pr($df179) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('208',plain,
    ~ $pr($df179),
    inference(simplify,[],['207','13']) ).

cnf('209',plain,
    ( ~ $pr($df188)
    | $pr($df180) ),
    inference(resolution,[],['206','208']) ).

cnf('210',plain,
    $pr($df180),
    inference(resolution,[],['204','209']) ).

cnf('211',plain,
    ( op(e4,e0) != e4
    | ~ $pr($df180)
    | $pr($df172)
    | $pr($df171) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('212',plain,
    ( ~ $pr($df180)
    | $pr($df172)
    | $pr($df171) ),
    inference(simplify,[],['211','39']) ).

cnf('213',plain,
    ( op(e3,e4) != e1
    | ~ $pr($df171) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('214',plain,
    ~ $pr($df171),
    inference(simplify,[],['213','34']) ).

cnf('215',plain,
    ( ~ $pr($df180)
    | $pr($df172) ),
    inference(resolution,[],['212','214']) ).

cnf('216',plain,
    $pr($df172),
    inference(resolution,[],['210','215']) ).

cnf('217',plain,
    ( op(e3,e3) != e0
    | ~ $pr($df172)
    | $pr($df164)
    | $pr($df163) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('218',plain,
    ( ~ $pr($df172)
    | $pr($df164)
    | $pr($df163) ),
    inference(simplify,[],['217','80']) ).

cnf('219',plain,
    ( op(e3,e2) != e4
    | ~ $pr($df163) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('220',plain,
    ~ $pr($df163),
    inference(simplify,[],['219','24']) ).

cnf('221',plain,
    ( ~ $pr($df172)
    | $pr($df164) ),
    inference(resolution,[],['218','220']) ).

cnf('222',plain,
    $pr($df164),
    inference(resolution,[],['216','221']) ).

cnf('223',plain,
    ( op(e3,e1) != e2
    | ~ $pr($df164)
    | $pr($df156)
    | $pr($df155) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('224',plain,
    ( ~ $pr($df164)
    | $pr($df156)
    | $pr($df155) ),
    inference(simplify,[],['223','17']) ).

cnf('225',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df155) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('226',plain,
    ~ $pr($df155),
    inference(simplify,[],['225','6']) ).

cnf('227',plain,
    ( ~ $pr($df164)
    | $pr($df156) ),
    inference(resolution,[],['224','226']) ).

cnf('228',plain,
    $pr($df156),
    inference(resolution,[],['222','227']) ).

cnf('229',plain,
    ( op(e2,e4) != e3
    | ~ $pr($df156)
    | $pr($df148)
    | $pr($df147) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('230',plain,
    ( ~ $pr($df156)
    | $pr($df148)
    | $pr($df147) ),
    inference(simplify,[],['229','46']) ).

cnf('231',plain,
    ( op(e2,e3) != e1
    | ~ $pr($df147) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('232',plain,
    ~ $pr($df147),
    inference(simplify,[],['231','20']) ).

cnf('233',plain,
    ( ~ $pr($df156)
    | $pr($df148) ),
    inference(resolution,[],['230','232']) ).

cnf('234',plain,
    $pr($df148),
    inference(resolution,[],['228','233']) ).

cnf('235',plain,
    ( op(e2,e2) != e0
    | ~ $pr($df148)
    | $pr($df140)
    | $pr($df139) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('236',plain,
    ( ~ $pr($df148)
    | $pr($df140)
    | $pr($df139) ),
    inference(simplify,[],['235','115']) ).

cnf('237',plain,
    ( op(e2,e1) != e4
    | ~ $pr($df139) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('238',plain,
    ~ $pr($df139),
    inference(simplify,[],['237','91']) ).

cnf('239',plain,
    ( ~ $pr($df148)
    | $pr($df140) ),
    inference(resolution,[],['236','238']) ).

cnf('240',plain,
    $pr($df140),
    inference(resolution,[],['234','239']) ).

cnf('241',plain,
    ( op(e2,e0) != e2
    | ~ $pr($df140)
    | $pr($df132)
    | $pr($df131) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('242',plain,
    ( ~ $pr($df140)
    | $pr($df132)
    | $pr($df131) ),
    inference(simplify,[],['241','106']) ).

cnf('243',plain,
    ( op(e1,e4) != e2
    | ~ $pr($df131) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('244',plain,
    ~ $pr($df131),
    inference(simplify,[],['243','51']) ).

cnf('245',plain,
    ( ~ $pr($df140)
    | $pr($df132) ),
    inference(resolution,[],['242','244']) ).

cnf('246',plain,
    $pr($df132),
    inference(resolution,[],['240','245']) ).

cnf('247',plain,
    ( op(e1,e3) != e4
    | ~ $pr($df132)
    | $pr($df124)
    | $pr($df123) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('248',plain,
    ( ~ $pr($df132)
    | $pr($df124)
    | $pr($df123) ),
    inference(simplify,[],['247','10']) ).

cnf('249',plain,
    ( op(e1,e2) != e3
    | ~ $pr($df123) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('250',plain,
    ~ $pr($df123),
    inference(simplify,[],['249','94']) ).

cnf('251',plain,
    ( ~ $pr($df132)
    | $pr($df124) ),
    inference(resolution,[],['248','250']) ).

cnf('252',plain,
    $pr($df124),
    inference(resolution,[],['246','251']) ).

cnf('253',plain,
    ( op(e1,e1) != e0
    | ~ $pr($df124)
    | $pr($df116)
    | $pr($df115) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('254',plain,
    ( ~ $pr($df124)
    | $pr($df116)
    | $pr($df115) ),
    inference(simplify,[],['253','143']) ).

cnf('255',plain,
    ( op(e1,e0) != e1
    | ~ $pr($df115) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('256',plain,
    ~ $pr($df115),
    inference(simplify,[],['255','140']) ).

cnf('257',plain,
    ( ~ $pr($df124)
    | $pr($df116) ),
    inference(resolution,[],['254','256']) ).

cnf('258',plain,
    $pr($df116),
    inference(resolution,[],['252','257']) ).

cnf('259',plain,
    ( op(e0,e4) != e4
    | ~ $pr($df116)
    | $pr($df108)
    | $pr($df107) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('260',plain,
    ( ~ $pr($df116)
    | $pr($df108)
    | $pr($df107) ),
    inference(simplify,[],['259','3']) ).

cnf('261',plain,
    ( op(e0,e3) != e3
    | ~ $pr($df107) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('262',plain,
    ~ $pr($df107),
    inference(simplify,[],['261','27']) ).

cnf('263',plain,
    ( ~ $pr($df116)
    | $pr($df108) ),
    inference(resolution,[],['260','262']) ).

cnf('264',plain,
    $pr($df108),
    inference(resolution,[],['258','263']) ).

cnf('265',plain,
    ( op(e0,e2) != e2
    | ~ $pr($df108)
    | $pr($df99)
    | $pr($df100) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('266',plain,
    ( ~ $pr($df108)
    | $pr($df99)
    | $pr($df100) ),
    inference(simplify,[],['265','101']) ).

cnf('267',plain,
    ( op(e0,e1) != e1
    | ~ $pr($df99) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('268',plain,
    ~ $pr($df99),
    inference(simplify,[],['267','135']) ).

cnf('269',plain,
    ( ~ $pr($df108)
    | $pr($df100) ),
    inference(resolution,[],['266','268']) ).

cnf('270',plain,
    $pr($df100),
    inference(resolution,[],['264','269']) ).

cnf('271',plain,
    ( ~ $pr($df87)
    | op(e4,e4) = e4 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('272',plain,
    e0 != e4,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('273',plain,
    ~ $pr($df87),
    inference(paramodulation,[then_simplify],['200','271','272']) ).

cnf('274',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df100)
    | $pr($df88)
    | $pr($df87) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('275',plain,
    ( ~ $pr($df100)
    | $pr($df88)
    | $pr($df87) ),
    inference(simplify,[],['274','169']) ).

cnf('276',plain,
    ( ~ $pr($df100)
    | $pr($df88) ),
    inference(resolution,[],['273','275']) ).

cnf('277',plain,
    $pr($df88),
    inference(resolution,[],['270','276']) ).

cnf('278',plain,
    ( ~ $pr($df88)
    | op(e4,e4) = e3
    | op(e4,e4) = e2
    | $pr($df76)
    | $pr($df75) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('279',plain,
    e0 != e3,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('280',plain,
    unit != e3,
    inference(paramodulation,[],['180','279']) ).

cnf('281',plain,
    e0 != e2,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('282',plain,
    unit != e2,
    inference(paramodulation,[],['180','281']) ).

cnf('283',plain,
    ( ~ $pr($df75)
    | op(e4,e4) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('284',plain,
    e0 != e1,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('285',plain,
    ~ $pr($df75),
    inference(paramodulation,[then_simplify],['200','283','284']) ).

cnf('286',plain,
    ( ~ $pr($df88)
    | $pr($df76) ),
    inference(simplify,[then_simplify],['278','280','282','285','200','180','200','180']) ).

cnf('287',plain,
    $pr($df76),
    inference(resolution,[],['277','286']) ).

cnf('288',plain,
    ( op(e4,e0) != e4
    | ~ $pr($df76)
    | op(e3,e3) = e4
    | $pr($df64)
    | $pr($df63) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('289',plain,
    e0 != e4,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('290',plain,
    unit != e4,
    inference(paramodulation,[],['180','289']) ).

cnf('291',plain,
    op(e3,e3) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('292',plain,
    ( ~ $pr($df63)
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('293',plain,
    e0 != e3,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('294',plain,
    ~ $pr($df63),
    inference(paramodulation,[then_simplify],['291','292','293']) ).

cnf('295',plain,
    ( ~ $pr($df76)
    | $pr($df64) ),
    inference(simplify,[then_simplify],['288','290','294','180','184','291','180']) ).

cnf('296',plain,
    $pr($df64),
    inference(resolution,[],['287','295']) ).

cnf('297',plain,
    ( ~ $pr($df64)
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | $pr($df52)
    | $pr($df51) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('298',plain,
    e0 != e1,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('299',plain,
    unit != e1,
    inference(paramodulation,[],['180','298']) ).

cnf('300',plain,
    ( ~ $pr($df64)
    | $pr($df52)
    | $pr($df51) ),
    inference(simplify,[then_simplify],['297','282','299','291','180','291','180']) ).

cnf('301',plain,
    ( op(e0,e0) != e0
    | ~ $pr($df2)
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('302',plain,
    ~ $pr($df2),
    inference(simplify,[then_simplify],['301','282','299','180','180','199','180','180','180','199','180','180','199']) ).

cnf('303',plain,
    ( op(e1,e0) != e1
    | ~ $pr($df16)
    | op(e0,e0) = e4
    | $pr($df1)
    | $pr($df2) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('304',plain,
    ( ~ $pr($df1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('305',plain,
    ~ $pr($df1),
    inference(paramodulation,[then_simplify],['197','304','293']) ).

cnf('306',plain,
    ( ~ $pr($df16)
    | $pr($df2) ),
    inference(simplify,[then_simplify],['303','290','305','180','196','180','180','199']) ).

cnf('307',plain,
    ~ $pr($df16),
    inference(resolution,[],['302','306']) ).

cnf('308',plain,
    ( ~ $pr($df28)
    | op(e1,e1) = e3
    | op(e1,e1) = e2
    | $pr($df16)
    | $pr($df15) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('309',plain,
    op(e1,e1) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('310',plain,
    ( ~ $pr($df15)
    | op(e1,e1) = e1 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('311',plain,
    ~ $pr($df15),
    inference(paramodulation,[then_simplify],['309','310','284']) ).

cnf('312',plain,
    ( ~ $pr($df28)
    | $pr($df16) ),
    inference(simplify,[then_simplify],['308','280','282','311','309','180','309','180']) ).

cnf('313',plain,
    ~ $pr($df28),
    inference(resolution,[],['307','312']) ).

cnf('314',plain,
    op(e2,e2) = e0,
    inference(cnf_transformation,[],['ax2_$sk']) ).

cnf('315',plain,
    ( op(e2,e0) != e2
    | ~ $pr($df40)
    | op(e2,e2) = e1
    | $pr($df28)
    | $pr($df27) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('316',plain,
    ( ~ $pr($df40)
    | op(e2,e2) = e1
    | $pr($df28)
    | $pr($df27) ),
    inference(simplify,[],['315','106']) ).

cnf('317',plain,
    ( ~ $pr($df40)
    | $pr($df28)
    | $pr($df27) ),
    inference(paramodulation,[then_simplify],['314','316','284']) ).

cnf('318',plain,
    ( ~ $pr($df27)
    | op(e1,e1) = e4 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('319',plain,
    ~ $pr($df27),
    inference(paramodulation,[then_simplify],['309','318','272']) ).

cnf('320',plain,
    ( ~ $pr($df40)
    | $pr($df28) ),
    inference(simplify,[],['317','319']) ).

cnf('321',plain,
    ~ $pr($df40),
    inference(resolution,[],['313','320']) ).

cnf('322',plain,
    ( ~ $pr($df52)
    | op(e2,e2) = e4
    | op(e2,e2) = e3
    | $pr($df39)
    | $pr($df40) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('323',plain,
    ( ~ $pr($df39)
    | op(e2,e2) = e2 ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('324',plain,
    e0 != e2,
    inference(cnf_transformation,[],['ax1_$sk']) ).

cnf('325',plain,
    ~ $pr($df39),
    inference(paramodulation,[then_simplify],['314','323','324']) ).

cnf('326',plain,
    ( ~ $pr($df52)
    | $pr($df40) ),
    inference(simplify,[then_simplify],['322','290','280','325','314','180','314','180']) ).

cnf('327',plain,
    ~ $pr($df52),
    inference(resolution,[],['321','326']) ).

cnf('328',plain,
    $pr($df51),
    inference(resolution,[then_simplify],['296','300','327']) ).

cnf('329',plain,
    ( op(e3,e0) != e3
    | ~ $pr($df51) ),
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('330',plain,
    ~ $pr($df51),
    inference(simplify,[],['329','6']) ).

cnf('331',plain,
    $false,
    inference(resolution,[],['328','330']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : ALG091+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.09  % Command  : gkc %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Mon Aug 28 04:20:45 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.12/0.34  
% 0.12/0.34  input clause set summed statistics:
% 0.12/0.34  ----------------------------------
% 0.12/0.34  in_clause_count:                  2145
% 0.12/0.34  in_rule_clause_count:             2144
% 0.12/0.34  in_fact_clause_count:                1
% 0.12/0.34  in_answer_clause_count:              0
% 0.12/0.34  in_ground_clause_count:           2145
% 0.12/0.34  in_unit_clause_count:               36
% 0.12/0.34  in_horn_clause_count:             1115
% 0.12/0.34  in_pos_clause_count:               156
% 0.12/0.34  in_neg_clause_count:               787
% 0.12/0.34  in_poseq_clause_count:             436
% 0.12/0.34  in_negeq_clause_count:             674
% 0.12/0.34  in_unitposeq_clause_count:          26
% 0.12/0.34  in_chain_clause_count:               0
% 0.12/0.34  in_min_length:             1
% 0.12/0.34  in_max_length:            14
% 0.12/0.34  in_min_depth:              1
% 0.12/0.34  in_max_depth:              2
% 0.12/0.34  in_min_size:               3
% 0.12/0.34  in_max_size:              61
% 0.12/0.34  in_min_vars:               0
% 0.12/0.34  in_max_vars:               0
% 0.12/0.34  in_extaxiom_count:                 0
% 0.12/0.34  in_axiom_count:                   36
% 0.12/0.34  in_assumption_count:               0
% 0.12/0.34  in_goal_count:                  2109
% 0.12/0.34  in_neg_goal_count:               777
% 0.12/0.34  in_pos_goal_count:               130
% 0.12/0.34  in_posunit_goal_count:             0
% 0.12/0.34  
% 0.12/0.34  auto guide:
% 0.12/0.34  -----------
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% 0.12/0.34  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.34  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.12/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.12/0.34  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.12/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.12/0.34  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.12/0.34  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.12/0.34  
% 0.12/0.34  {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.34  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.34  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.12/0.34  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.34  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.12/0.34  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.12/0.34  
% 0.12/0.34  {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.34  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.12/0.34  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1} 
% 0.12/0.34  
% 0.12/0.34  ]}
% 0.12/0.34  
% 0.12/0.34  
% 0.12/0.34  **** run 1 fork 0 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.12/0.34  
% 0.12/0.34  **** run 2 fork 1 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.12/0.34  
% 0.12/0.34  **** run 3 fork 2 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.12/0.34  
% 0.12/0.34  **** run 4 fork 3 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.12/0.34  
% 0.12/0.34  **** run 5 fork 4 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.12/0.34  
% 0.12/0.34  **** run 6 fork 5 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.12/0.34  
% 0.12/0.34  **** run 7 fork 6 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.12/0.34  
% 0.12/0.34  **** run 8 fork 7 starts with strategy
% 0.12/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.12/0.39  
% 0.12/0.39  fork 0: search finished without proof.
% 0.12/0.41  
% 0.12/0.41  **** run 9 fork 0 starts with strategy
% 0.12/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.12/0.46  
% 0.12/0.46  
% 0.12/0.46  result: proof found
% 0.12/0.46  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.12/0.46  by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.12/0.46  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.12/0.46  
% 0.12/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.12/0.47  
% 0.12/0.47  run 8 fork 7 statistics:
% 0.12/0.47  ----------------------------------
% 0.12/0.47  this run seconds: 0.089833
% 0.12/0.47  total seconds: 0.125772
% 0.12/0.47  stat_given_used: 2302
% 0.12/0.47  stat_given_used_at_endgame: 0
% 0.12/0.47  stat_given_candidates:   5135
% 0.12/0.47  stat_given_candidates_at_endgame: 0
% 0.12/0.47  stat_given_candidates_h: 0
% 0.12/0.47  stat_binres_derived_cl:   1828
% 0.12/0.47  stat_binres_derived_cl_h: 0
% 0.12/0.47  stat_factor_derived_cl: 0
% 0.12/0.47  stat_para_derived_cl: 1525
% 0.12/0.47  stat_tautologies_discarded: 0
% 0.12/0.47  stat_forward_subsumed: 1312
% 0.12/0.47  stat_derived_cut: 1632
% 0.12/0.47  stat_derived_rewritten: 340
% 0.12/0.47  stat_weight_discarded_building: 0
% 0.12/0.47  stat_weight_discarded_cl: 1136
% 0.12/0.47  stat_internlimit_discarded_cl: 0
% 0.12/0.47  stat_simplified:  1126 simplified 0 derived 0 given
% 0.12/0.47  stat_kept_cl: 850
% 0.12/0.47  stat_built_cl: 7716
% 0.12/0.47  stat_hyperres_partial_cl: 0
% 0.12/0.47  stat_made_rewriters: 35
% 0.12/0.47  stat_backward_subsumed: 0
% 0.12/0.47  stat_propagated_subsumed: 0
% 0.12/0.47  stat_clsubs_attempted:                      6549
% 0.12/0.47  stat_clsubs_fact_groundunit_found:             6
% 0.12/0.47  stat_clsubs_rule_groundunit_found:           544
% 0.12/0.47  stat_clsubs_top_meta_attempted:            2909127
% 0.12/0.47  stat_clsubs_top_meta_failed:               2902578
% 0.12/0.47  stat_clsubs_top_meta_nonpref_attempted:             2909127
% 0.12/0.47  stat_clsubs_top_meta_nonpref_succeeded:             1017687
% 0.12/0.47  stat_clsubs_top_meta_pref_attempted:                1017687
% 0.12/0.47  stat_clsubs_top_meta_pref1_succeeded:                789222
% 0.12/0.47  stat_clsubs_top_meta_pref2_succeeded:                 10798
% 0.12/0.47  stat_clsubs_top_meta_pref3_succeeded:                  6549
% 0.12/0.47  stat_clsubs_top_meta_pref_succeeded:                   6549
% 0.12/0.47  stat_clsubs_meta_attempted:                14917
% 0.12/0.47  stat_clsubs_meta_failed:                   13154
% 0.12/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.12/0.47  stat_clsubs_unit_attempted:                    0
% 0.12/0.47  stat_clsubs_full_attempted:                 6549
% 0.12/0.47  stat_forwardsubs_attempted:                 3298
% 0.12/0.47  stat_lit_hash_added:                   3934
% 0.12/0.47  stat_lit_hash_computed:               41279
% 0.12/0.47  stat_lit_hash_match_found:             6193
% 0.12/0.47  stat_lit_hash_match_miss:             40119
% 0.12/0.47  stat_lit_hash_cut_ok:                  3270
% 0.12/0.47  stat_lit_strong_cut_ok:                   0
% 0.12/0.47  stat_lit_hash_subsume_ok:              1312
% 0.12/0.47  clqueue els 10000000 used 1
% 0.12/0.47  clactive els 10000000 used 2303
% 0.12/0.47  clactivesubsume els 10000000 used 11041
% 0.12/0.47  queue_termbuf els 200000000 used 84138
% 0.12/0.47  hyper_termbuf els 100000000 used 1
% 0.12/0.47  active_termbuf els 100000000 used 56517
% 0.12/0.47  varstack els 5000 last used 1
% 0.12/0.47  given_termbuf els 10000000 last used 7
% 0.12/0.47  simplified_termbuf els 10000000 last used 1
% 0.12/0.47  derived_termbuf els 10000000 last used 9
% 0.12/0.47  wr_mallocs: 23679
% 0.12/0.47  wr_callocs: 21
% 0.12/0.47  wr_reallocs: 1061
% 0.12/0.47  wr_frees: 4
% 0.12/0.47  wr_malloc_bytes: 4163380244
% 0.12/0.47  wr_calloc_bytes: 112065536
% 0.12/0.47  wr_realloc_bytes: 270328
% 0.12/0.47  wr_realloc_freebytes: 0
% 0.12/0.47  ----------------------------------
%------------------------------------------------------------------------------