TSTP Solution File: ALG142+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG142+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : Sat May  4 07:20:23 EDT 2024

% Result   : Unsatisfiable 7.17s 1.85s
% Output   : CNFRefutation 7.17s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(ax5,axiom,
    ( ( ( op(e0,e0) = e0
        & op(e0,e0) != e0 )
      | ( op(e1,e1) = e0
        & op(e1,e0) != e1 )
      | ( op(e2,e2) = e0
        & op(e2,e0) != e2 )
      | ( op(e3,e3) = e0
        & op(e3,e0) != e3 ) )
    & ( ( op(e0,e0) = e1
        & op(e0,e1) != e0 )
      | ( op(e1,e1) = e1
        & op(e1,e1) != e1 )
      | ( op(e2,e2) = e1
        & op(e2,e1) != e2 )
      | ( op(e3,e3) = e1
        & op(e3,e1) != e3 ) )
    & ( ( op(e0,e0) = e2
        & op(e0,e2) != e0 )
      | ( op(e1,e1) = e2
        & op(e1,e2) != e1 )
      | ( op(e2,e2) = e2
        & op(e2,e2) != e2 )
      | ( op(e3,e3) = e2
        & op(e3,e2) != e3 ) )
    & ( ( op(e0,e0) = e3
        & op(e0,e3) != e0 )
      | ( op(e1,e1) = e3
        & op(e1,e3) != e1 )
      | ( op(e2,e2) = e3
        & op(e2,e3) != e2 )
      | ( op(e3,e3) = e3
        & op(e3,e3) != e3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax5) ).

fof(ax4,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax4) ).

fof(ax3,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax3) ).

fof(ax2,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax2) ).

fof(ax1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax1) ).

fof(ax28,axiom,
    ~ ( e3 = op(e1,op(e1,e1))
      & e2 = op(op(e1,e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax28) ).

fof(ax22,axiom,
    ~ ( e2 = op(e1,op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax22) ).

fof(ax21,axiom,
    ~ ( e2 = op(e0,op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax21) ).

fof(ax15,axiom,
    ~ ( e1 = op(e0,op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax15) ).

fof(ax19,axiom,
    ~ ( e2 = op(e1,op(e1,e1))
      & e0 = op(op(e1,e1),e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax19) ).

fof(ax17,axiom,
    ~ ( e1 = op(e0,op(e0,e0))
      & e3 = op(op(e0,e0),e0)
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p',ax17) ).

fof(c_0_11,plain,
    ( ( ( op(e0,e0) = e0
        & op(e0,e0) != e0 )
      | ( op(e1,e1) = e0
        & op(e1,e0) != e1 )
      | ( op(e2,e2) = e0
        & op(e2,e0) != e2 )
      | ( op(e3,e3) = e0
        & op(e3,e0) != e3 ) )
    & ( ( op(e0,e0) = e1
        & op(e0,e1) != e0 )
      | ( op(e1,e1) = e1
        & op(e1,e1) != e1 )
      | ( op(e2,e2) = e1
        & op(e2,e1) != e2 )
      | ( op(e3,e3) = e1
        & op(e3,e1) != e3 ) )
    & ( ( op(e0,e0) = e2
        & op(e0,e2) != e0 )
      | ( op(e1,e1) = e2
        & op(e1,e2) != e1 )
      | ( op(e2,e2) = e2
        & op(e2,e2) != e2 )
      | ( op(e3,e3) = e2
        & op(e3,e2) != e3 ) )
    & ( ( op(e0,e0) = e3
        & op(e0,e3) != e0 )
      | ( op(e1,e1) = e3
        & op(e1,e3) != e1 )
      | ( op(e2,e2) = e3
        & op(e2,e3) != e2 )
      | ( op(e3,e3) = e3
        & op(e3,e3) != e3 ) ) ),
    inference(fof_simplification,[status(thm)],[ax5]) ).

fof(c_0_12,plain,
    ( ( op(e3,e3) = e0
      | op(e2,e2) = e0
      | op(e1,e1) = e0
      | op(e0,e0) = e0 )
    & ( op(e3,e0) != e3
      | op(e2,e2) = e0
      | op(e1,e1) = e0
      | op(e0,e0) = e0 )
    & ( op(e3,e3) = e0
      | op(e2,e0) != e2
      | op(e1,e1) = e0
      | op(e0,e0) = e0 )
    & ( op(e3,e0) != e3
      | op(e2,e0) != e2
      | op(e1,e1) = e0
      | op(e0,e0) = e0 )
    & ( op(e3,e3) = e0
      | op(e2,e2) = e0
      | op(e1,e0) != e1
      | op(e0,e0) = e0 )
    & ( op(e3,e0) != e3
      | op(e2,e2) = e0
      | op(e1,e0) != e1
      | op(e0,e0) = e0 )
    & ( op(e3,e3) = e0
      | op(e2,e0) != e2
      | op(e1,e0) != e1
      | op(e0,e0) = e0 )
    & ( op(e3,e0) != e3
      | op(e2,e0) != e2
      | op(e1,e0) != e1
      | op(e0,e0) = e0 )
    & ( op(e3,e3) = e0
      | op(e2,e2) = e0
      | op(e1,e1) = e0
      | op(e0,e0) != e0 )
    & ( op(e3,e0) != e3
      | op(e2,e2) = e0
      | op(e1,e1) = e0
      | op(e0,e0) != e0 )
    & ( op(e3,e3) = e0
      | op(e2,e0) != e2
      | op(e1,e1) = e0
      | op(e0,e0) != e0 )
    & ( op(e3,e0) != e3
      | op(e2,e0) != e2
      | op(e1,e1) = e0
      | op(e0,e0) != e0 )
    & ( op(e3,e3) = e0
      | op(e2,e2) = e0
      | op(e1,e0) != e1
      | op(e0,e0) != e0 )
    & ( op(e3,e0) != e3
      | op(e2,e2) = e0
      | op(e1,e0) != e1
      | op(e0,e0) != e0 )
    & ( op(e3,e3) = e0
      | op(e2,e0) != e2
      | op(e1,e0) != e1
      | op(e0,e0) != e0 )
    & ( op(e3,e0) != e3
      | op(e2,e0) != e2
      | op(e1,e0) != e1
      | op(e0,e0) != e0 )
    & ( op(e3,e3) = e1
      | op(e2,e2) = e1
      | op(e1,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e1) != e3
      | op(e2,e2) = e1
      | op(e1,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e3) = e1
      | op(e2,e1) != e2
      | op(e1,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e1) != e3
      | op(e2,e1) != e2
      | op(e1,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e3) = e1
      | op(e2,e2) = e1
      | op(e1,e1) != e1
      | op(e0,e0) = e1 )
    & ( op(e3,e1) != e3
      | op(e2,e2) = e1
      | op(e1,e1) != e1
      | op(e0,e0) = e1 )
    & ( op(e3,e3) = e1
      | op(e2,e1) != e2
      | op(e1,e1) != e1
      | op(e0,e0) = e1 )
    & ( op(e3,e1) != e3
      | op(e2,e1) != e2
      | op(e1,e1) != e1
      | op(e0,e0) = e1 )
    & ( op(e3,e3) = e1
      | op(e2,e2) = e1
      | op(e1,e1) = e1
      | op(e0,e1) != e0 )
    & ( op(e3,e1) != e3
      | op(e2,e2) = e1
      | op(e1,e1) = e1
      | op(e0,e1) != e0 )
    & ( op(e3,e3) = e1
      | op(e2,e1) != e2
      | op(e1,e1) = e1
      | op(e0,e1) != e0 )
    & ( op(e3,e1) != e3
      | op(e2,e1) != e2
      | op(e1,e1) = e1
      | op(e0,e1) != e0 )
    & ( op(e3,e3) = e1
      | op(e2,e2) = e1
      | op(e1,e1) != e1
      | op(e0,e1) != e0 )
    & ( op(e3,e1) != e3
      | op(e2,e2) = e1
      | op(e1,e1) != e1
      | op(e0,e1) != e0 )
    & ( op(e3,e3) = e1
      | op(e2,e1) != e2
      | op(e1,e1) != e1
      | op(e0,e1) != e0 )
    & ( op(e3,e1) != e3
      | op(e2,e1) != e2
      | op(e1,e1) != e1
      | op(e0,e1) != e0 )
    & ( op(e3,e3) = e2
      | op(e2,e2) = e2
      | op(e1,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e2) != e3
      | op(e2,e2) = e2
      | op(e1,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e3) = e2
      | op(e2,e2) != e2
      | op(e1,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e2) != e3
      | op(e2,e2) != e2
      | op(e1,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e3) = e2
      | op(e2,e2) = e2
      | op(e1,e2) != e1
      | op(e0,e0) = e2 )
    & ( op(e3,e2) != e3
      | op(e2,e2) = e2
      | op(e1,e2) != e1
      | op(e0,e0) = e2 )
    & ( op(e3,e3) = e2
      | op(e2,e2) != e2
      | op(e1,e2) != e1
      | op(e0,e0) = e2 )
    & ( op(e3,e2) != e3
      | op(e2,e2) != e2
      | op(e1,e2) != e1
      | op(e0,e0) = e2 )
    & ( op(e3,e3) = e2
      | op(e2,e2) = e2
      | op(e1,e1) = e2
      | op(e0,e2) != e0 )
    & ( op(e3,e2) != e3
      | op(e2,e2) = e2
      | op(e1,e1) = e2
      | op(e0,e2) != e0 )
    & ( op(e3,e3) = e2
      | op(e2,e2) != e2
      | op(e1,e1) = e2
      | op(e0,e2) != e0 )
    & ( op(e3,e2) != e3
      | op(e2,e2) != e2
      | op(e1,e1) = e2
      | op(e0,e2) != e0 )
    & ( op(e3,e3) = e2
      | op(e2,e2) = e2
      | op(e1,e2) != e1
      | op(e0,e2) != e0 )
    & ( op(e3,e2) != e3
      | op(e2,e2) = e2
      | op(e1,e2) != e1
      | op(e0,e2) != e0 )
    & ( op(e3,e3) = e2
      | op(e2,e2) != e2
      | op(e1,e2) != e1
      | op(e0,e2) != e0 )
    & ( op(e3,e2) != e3
      | op(e2,e2) != e2
      | op(e1,e2) != e1
      | op(e0,e2) != e0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e3
      | op(e1,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e3) != e3
      | op(e2,e2) = e3
      | op(e1,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e3) = e3
      | op(e2,e3) != e2
      | op(e1,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e3) != e3
      | op(e2,e3) != e2
      | op(e1,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e3
      | op(e1,e3) != e1
      | op(e0,e0) = e3 )
    & ( op(e3,e3) != e3
      | op(e2,e2) = e3
      | op(e1,e3) != e1
      | op(e0,e0) = e3 )
    & ( op(e3,e3) = e3
      | op(e2,e3) != e2
      | op(e1,e3) != e1
      | op(e0,e0) = e3 )
    & ( op(e3,e3) != e3
      | op(e2,e3) != e2
      | op(e1,e3) != e1
      | op(e0,e0) = e3 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e3
      | op(e1,e1) = e3
      | op(e0,e3) != e0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) = e3
      | op(e1,e1) = e3
      | op(e0,e3) != e0 )
    & ( op(e3,e3) = e3
      | op(e2,e3) != e2
      | op(e1,e1) = e3
      | op(e0,e3) != e0 )
    & ( op(e3,e3) != e3
      | op(e2,e3) != e2
      | op(e1,e1) = e3
      | op(e0,e3) != e0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e3
      | op(e1,e3) != e1
      | op(e0,e3) != e0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) = e3
      | op(e1,e3) != e1
      | op(e0,e3) != e0 )
    & ( op(e3,e3) = e3
      | op(e2,e3) != e2
      | op(e1,e3) != e1
      | op(e0,e3) != e0 )
    & ( op(e3,e3) != e3
      | op(e2,e3) != e2
      | op(e1,e3) != e1
      | op(e0,e3) != e0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).

fof(c_0_13,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_simplification,[status(thm)],[ax4]) ).

fof(c_0_14,plain,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    inference(fof_simplification,[status(thm)],[ax3]) ).

cnf(c_0_15,plain,
    ( op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_17,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_nnf,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( op(e3,e3) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e2) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( op(e3,e3) = e2
    | op(e2,e2) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,plain,
    ( op(e3,e3) = e3
    | op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e2,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_22,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e3,e3) != e3
    | op(e2,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,plain,
    ( op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_24,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_25,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,plain,
    op(e3,e0) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( op(e3,e3) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,plain,
    ( op(e2,e2) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e2) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_30,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e2) != e3
    | op(e2,e2) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_31,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_32,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_33,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e0
    | op(e3,e0) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_34,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e3,e0) != e3
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_35,plain,
    ( op(e2,e2) = e3
    | op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e3
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_37,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e2,e3) != e2 ),
    inference(csr,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_38,plain,
    ( op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_39,plain,
    ( op(e3,e3) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e0
    | op(e2,e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_40,plain,
    ( op(e3,e3) = e0
    | op(e1,e1) = e0
    | op(e2,e0) != e2
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_41,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_42,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_43,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_28,c_0_27]) ).

cnf(c_0_44,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_45,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e2) != e3 ),
    inference(csr,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_46,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_47,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_48,plain,
    ( op(e2,e3) = e3
    | op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_32]) ).

cnf(c_0_49,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e3,e0) != e3 ),
    inference(csr,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_50,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_51,plain,
    op(e2,e0) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_52,plain,
    ( op(e2,e2) = e3
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(csr,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_53,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_54,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_55,plain,
    ( op(e3,e3) = e0
    | op(e1,e1) = e0
    | op(e2,e0) != e2 ),
    inference(csr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_56,plain,
    ( op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_57,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_58,plain,
    ( op(e2,e1) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_59,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_25]) ).

cnf(c_0_60,plain,
    ( op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_61,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_62,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_63,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_64,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_27]) ).

cnf(c_0_65,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_66,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_67,plain,
    ( op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_32]) ).

cnf(c_0_68,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e3,e3) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_69,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_70,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_71,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_72,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_73,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_74,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_75,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e1
    | op(e1,e1) = e1
    | op(e0,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_76,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e1
    | op(e0,e0) = e1
    | op(e3,e1) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_77,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e3,e1) != e3
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_78,plain,
    op(e1,e1) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_79,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_32]) ).

cnf(c_0_80,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_81,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_32]) ).

cnf(c_0_82,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_62]),c_0_32]),c_0_63]) ).

cnf(c_0_83,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_84,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_85,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_86,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_87,plain,
    ( e3 != op(e1,op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_88,plain,
    ( op(e0,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e1) = e0
    | op(e0,e3) = e2
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_89,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_68]),c_0_25]) ).

cnf(c_0_90,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_91,plain,
    ( op(e1,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_69,c_0_56]) ).

cnf(c_0_92,plain,
    ( op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_93,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_72,c_0_52]) ).

cnf(c_0_94,plain,
    op(e2,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_95,plain,
    ( op(e3,e2) = e3
    | op(e3,e1) = e3
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_73]),c_0_32]),c_0_49]) ).

cnf(c_0_96,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_97,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_98,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e3,e1) != e3 ),
    inference(csr,[status(thm)],[c_0_76,c_0_77]) ).

fof(c_0_99,plain,
    ( e2 != op(e1,op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_100,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e2) = e3
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_101,plain,
    ( op(e1,e1) = e0
    | op(e0,e3) = e3
    | op(e0,e0) = e3
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_102,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_83,c_0_52]) ).

cnf(c_0_103,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_104,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_105,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_86]),c_0_25]) ).

cnf(c_0_106,plain,
    ( e3 != op(e1,op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_107,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e1,e1) = e0
    | op(e0,e3) = e2
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_25]) ).

cnf(c_0_108,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e1,e0) = e2
    | op(e0,e3) = e2
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_91]),c_0_90]),c_0_25]) ).

cnf(c_0_109,plain,
    ( op(e1,e0) = e3
    | op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_50]),c_0_63]),c_0_93]) ).

cnf(c_0_110,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e3,e1) = e3
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_111,plain,
    ( op(e3,e2) = e3
    | op(e3,e0) = e3
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_73]),c_0_97]),c_0_98]) ).

cnf(c_0_112,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_113,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_114,plain,
    ( e2 != op(e1,op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_115,plain,
    ( op(e0,e0) = e3
    | op(e0,e3) = e3
    | op(e1,e1) = e0
    | op(e0,e2) = e3
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_32]),c_0_90]) ).

cnf(c_0_116,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_117,plain,
    ( op(e0,e0) = e3
    | op(e0,e3) = e3
    | op(e1,e1) = e0
    | op(e0,e0) = e2
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_101]),c_0_32]),c_0_90]) ).

cnf(c_0_118,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_85]),c_0_103]) ).

cnf(c_0_119,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_89]) ).

cnf(c_0_120,plain,
    ( op(e0,e0) = e3
    | op(e0,e3) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2
    | op(e1,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).

cnf(c_0_121,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_109]),c_0_32]),c_0_90]) ).

cnf(c_0_122,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e3,e1) = e3
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_52]),c_0_32]) ).

cnf(c_0_123,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e3,e0) = e3
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_94,c_0_111]) ).

cnf(c_0_124,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_27]),c_0_112]) ).

cnf(c_0_125,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_126,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_113]),c_0_64]) ).

cnf(c_0_127,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,e0) = e3
    | op(e1,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).

cnf(c_0_128,plain,
    ( op(e0,e3) = e3
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_117]),c_0_25]) ).

cnf(c_0_129,plain,
    ( op(e0,e0) = e2
    | op(e1,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_90]) ).

cnf(c_0_130,plain,
    ( op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e2
    | op(e0,e3) = e2
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_90]) ).

cnf(c_0_131,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_132,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e1
    | op(e0,e0) = e1
    | op(e2,e1) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_133,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e1
    | op(e2,e1) != e2
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_134,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e3
    | op(e1,e1) = e3
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_122]) ).

cnf(c_0_135,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e3,e0) = e3
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_52]),c_0_97]) ).

cnf(c_0_136,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_59]),c_0_125]) ).

cnf(c_0_137,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_124]),c_0_97]) ).

cnf(c_0_138,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_139,plain,
    ( op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e3,e2) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_94,c_0_126]) ).

cnf(c_0_140,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_141,plain,
    ( op(e0,e1) = e2
    | op(e0,e0) = e3
    | op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_142,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_129]),c_0_32]) ).

cnf(c_0_143,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_130]),c_0_90]) ).

cnf(c_0_144,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_131,c_0_27]) ).

cnf(c_0_145,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_146,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e1
    | op(e2,e1) != e2 ),
    inference(csr,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_147,plain,
    op(e0,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_148,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_149,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_150,plain,
    ( op(e0,e0) = e3
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_32]),c_0_90]) ).

cnf(c_0_151,plain,
    ( op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_138]),c_0_112]) ).

cnf(c_0_152,plain,
    ( op(e0,e0) = e1
    | op(e3,e2) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_139,c_0_124]) ).

cnf(c_0_153,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e0,e1) = e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_154,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_32]),c_0_97]),c_0_90]) ).

cnf(c_0_155,plain,
    ( op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_156,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e3,e3) = e1
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_146,c_0_58]) ).

cnf(c_0_157,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_158,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_90]),c_0_25]) ).

cnf(c_0_159,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_73]),c_0_90]),c_0_45]) ).

cnf(c_0_160,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e3,e0) = e1
    | op(e3,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_125]) ).

cnf(c_0_161,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_162,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_163,plain,
    ( op(e0,e0) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_90]) ).

cnf(c_0_164,plain,
    op(e0,e0) != op(e1,e0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_165,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_166,plain,
    op(e0,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_167,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_155]),c_0_112]) ).

cnf(c_0_168,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_156]),c_0_112]) ).

cnf(c_0_169,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_170,plain,
    ( op(e3,e0) = e1
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e3,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_97]) ).

cnf(c_0_171,plain,
    op(e0,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_172,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_173,plain,
    ( op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_161]),c_0_125]) ).

cnf(c_0_174,plain,
    ( op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_162]),c_0_112]) ).

cnf(c_0_175,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_163]),c_0_32]),c_0_97]),c_0_90]) ).

cnf(c_0_176,plain,
    op(e1,e0) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_177,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_178,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_179,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e2,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).

cnf(c_0_180,plain,
    op(e1,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_181,plain,
    ( op(e1,e1) = e2
    | op(e3,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_32]),c_0_97]),c_0_90]) ).

cnf(c_0_182,plain,
    ( op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_183,plain,
    ( op(e3,e0) = e3
    | op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e3,e0) = e0
    | op(e3,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_111]),c_0_32]) ).

cnf(c_0_184,plain,
    ( op(e3,e0) = e3
    | op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e3,e0) = e2
    | op(e3,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_111]),c_0_90]) ).

cnf(c_0_185,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_157,c_0_175]) ).

cnf(c_0_186,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_176,c_0_136]) ).

cnf(c_0_187,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_177,c_0_158]) ).

cnf(c_0_188,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_189,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_190,plain,
    ( op(e0,e0) = e2
    | op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_182,c_0_175]) ).

cnf(c_0_191,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e3,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_25]) ).

cnf(c_0_192,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_180,c_0_185]) ).

cnf(c_0_193,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_177,c_0_175]) ).

cnf(c_0_194,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_195,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_187]),c_0_189]) ).

cnf(c_0_196,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_178,c_0_190]) ).

cnf(c_0_197,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e3,e0) = e0
    | op(e3,e0) = e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_147,c_0_191]) ).

cnf(c_0_198,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_199,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e1,e0) = e0
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_25]) ).

cnf(c_0_200,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e0,e0) = e2
    | op(e2,e0) = e0
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_196,c_0_193]) ).

cnf(c_0_201,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e2,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_175]),c_0_97]) ).

cnf(c_0_202,plain,
    ( op(e3,e3) = e0
    | op(e0,e0) = e0
    | op(e2,e0) != e2
    | op(e1,e0) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_203,plain,
    ( op(e3,e3) = e0
    | op(e2,e0) != e2
    | op(e1,e0) != e1
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_204,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_205,plain,
    ( op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_198]),c_0_199]) ).

cnf(c_0_206,plain,
    ( op(e2,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_200]),c_0_199]) ).

cnf(c_0_207,plain,
    ( op(e2,e2) = e1
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_41,c_0_201]) ).

cnf(c_0_208,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_69,c_0_190]) ).

cnf(c_0_209,plain,
    ( op(e3,e3) = e0
    | op(e1,e0) != e1
    | op(e2,e0) != e2 ),
    inference(csr,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_210,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).

cnf(c_0_211,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_28,c_0_96]) ).

cnf(c_0_212,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_213,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_214,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_23]) ).

cnf(c_0_215,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_216,plain,
    ( op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e0,e0) = e0
    | op(e1,e0) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_217,plain,
    ( op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e1,e0) != e1
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_218,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e2) = e1
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_207]) ).

cnf(c_0_219,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e2,e0) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_208]),c_0_168]) ).

cnf(c_0_220,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_204,c_0_185]) ).

cnf(c_0_221,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e3,e3) = e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_222,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_131,c_0_96]) ).

cnf(c_0_223,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_224,plain,
    ( op(e2,e1) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_225,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_213,c_0_23]) ).

cnf(c_0_226,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_227,plain,
    ( op(e2,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_228,plain,
    ( op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e1,e0) != e1 ),
    inference(csr,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_229,plain,
    ( op(e0,e1) = e2
    | op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_230,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_41,c_0_185]) ).

cnf(c_0_231,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_220,c_0_190]) ).

cnf(c_0_232,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e3,e3) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_221,c_0_190]) ).

cnf(c_0_233,plain,
    ( op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_37,c_0_145]) ).

cnf(c_0_234,plain,
    ( op(e2,e1) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_235,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_26,c_0_96]) ).

cnf(c_0_236,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_237,plain,
    ( op(e2,e1) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_70,c_0_212]) ).

cnf(c_0_238,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_51,c_0_224]) ).

cnf(c_0_239,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_240,plain,
    ( op(e1,e2) = e0
    | op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_241,plain,
    ( op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_215]) ).

cnf(c_0_242,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_243,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) = e0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_51,c_0_227]) ).

cnf(c_0_244,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e3,e3) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_210]) ).

cnf(c_0_245,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_246,plain,
    ( op(e0,e1) = e2
    | op(e3,e2) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_139,c_0_229]) ).

cnf(c_0_247,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_180,c_0_230]) ).

cnf(c_0_248,plain,
    ( op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_180,c_0_231]) ).

cnf(c_0_249,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_232]) ).

cnf(c_0_250,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_233]),c_0_90]) ).

cnf(c_0_251,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_234]),c_0_97]) ).

cnf(c_0_252,plain,
    ( op(e2,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_253,plain,
    ( op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_236]),c_0_238]) ).

cnf(c_0_254,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e3
    | op(e1,e1) = e3
    | op(e0,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_255,plain,
    ( op(e2,e2) = e3
    | op(e1,e1) = e3
    | op(e3,e3) != e3
    | op(e0,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_256,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_239,c_0_23]) ).

cnf(c_0_257,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_258,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_240]) ).

cnf(c_0_259,plain,
    ( op(e1,e0) = e0
    | op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]) ).

cnf(c_0_260,plain,
    ( op(e2,e2) = e0
    | op(e1,e0) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_244]),c_0_25]) ).

cnf(c_0_261,plain,
    ( op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e2
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_262,plain,
    ( op(e1,e0) = e0
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_247,c_0_210]) ).

cnf(c_0_263,plain,
    ( op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_178,c_0_219]) ).

cnf(c_0_264,plain,
    ( op(e1,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_210]),c_0_249]) ).

cnf(c_0_265,plain,
    ( op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e1,e1) = e3
    | op(e2,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_112]) ).

cnf(c_0_266,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_72,c_0_252]) ).

cnf(c_0_267,plain,
    ( op(e1,e1) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_253]) ).

cnf(c_0_268,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_213,c_0_27]) ).

cnf(c_0_269,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_270,plain,
    ( op(e2,e2) = e3
    | op(e1,e1) = e3
    | op(e0,e3) != e0 ),
    inference(csr,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_271,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) = e2
    | op(e3,e3) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_190]) ).

cnf(c_0_272,plain,
    ( op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_51,c_0_59]) ).

cnf(c_0_273,plain,
    ( op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0
    | op(e1,e1) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_274,plain,
    op(e0,e2) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_275,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_258,c_0_259]) ).

cnf(c_0_276,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e0) = e2
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_260]),c_0_25]) ).

cnf(c_0_277,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).

cnf(c_0_278,plain,
    ( op(e1,e1) = e2
    | op(e1,e0) = e2
    | op(e3,e3) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_221,c_0_56]) ).

cnf(c_0_279,plain,
    ( op(e0,e0) = e2
    | op(e2,e0) = e0
    | op(e1,e0) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_264]),c_0_210]) ).

cnf(c_0_280,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e2,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_265]),c_0_158]) ).

cnf(c_0_281,plain,
    ( op(e1,e1) = e1
    | op(e0,e1) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_253]),c_0_267]) ).

cnf(c_0_282,plain,
    ( op(e1,e2) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_283,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_60]),c_0_97]) ).

cnf(c_0_284,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_285,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_286,plain,
    ( op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0
    | op(e2,e2) = e3
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_270,c_0_257]) ).

cnf(c_0_287,plain,
    ( op(e1,e1) = e0
    | op(e2,e0) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_271]),c_0_25]),c_0_272]) ).

cnf(c_0_288,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_273]) ).

cnf(c_0_289,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_290,plain,
    ( op(e2,e0) = e2
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_276]),c_0_277]) ).

cnf(c_0_291,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_278]),c_0_25]) ).

cnf(c_0_292,plain,
    ( op(e1,e0) = e0
    | op(e0,e0) = e2
    | op(e2,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_279]) ).

cnf(c_0_293,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_294,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_295,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_296,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_178,c_0_280]) ).

cnf(c_0_297,plain,
    ( op(e1,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e3
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_281]),c_0_97]),c_0_125]) ).

cnf(c_0_298,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_299,plain,
    ( op(e0,e0) = e1
    | op(e0,e2) = e3
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_90]),c_0_188]) ).

cnf(c_0_300,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_301,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e3
    | op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_273]),c_0_32]) ).

cnf(c_0_302,plain,
    ( op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_287]),c_0_136]) ).

cnf(c_0_303,plain,
    ( op(e1,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_259]),c_0_289]) ).

cnf(c_0_304,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_290]),c_0_291]) ).

cnf(c_0_305,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e1,e0) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_292]),c_0_279]) ).

cnf(c_0_306,plain,
    op(e1,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_307,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e0
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_293]),c_0_211]) ).

cnf(c_0_308,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_309,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_310,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_311,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e3
    | op(e0,e0) = e1
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_298,c_0_299]) ).

cnf(c_0_312,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_300,c_0_158]) ).

cnf(c_0_313,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_23]) ).

cnf(c_0_314,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_315,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_25]),c_0_90]) ).

cnf(c_0_316,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_25]) ).

cnf(c_0_317,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_25]) ).

cnf(c_0_318,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e3,e1) = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_319,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e3,e1) = e0
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_308,c_0_307]) ).

cnf(c_0_320,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_309,c_0_175]) ).

cnf(c_0_321,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e0,e1) = e1
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_298,c_0_310]) ).

cnf(c_0_322,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) = e1
    | op(e0,e2) = e3
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_323,plain,
    op(e0,e1) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_324,plain,
    ( op(e1,e2) = e0
    | op(e0,e2) = e0
    | op(e1,e1) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_325,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_83,c_0_227]) ).

cnf(c_0_326,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_315]),c_0_316]) ).

cnf(c_0_327,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_164,c_0_317]) ).

cnf(c_0_328,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_329,plain,
    ( op(e0,e0) = e2
    | op(e3,e1) = e0
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_168]),c_0_319]) ).

cnf(c_0_330,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e0) = e2
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_140,c_0_320]) ).

cnf(c_0_331,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_300,c_0_175]) ).

cnf(c_0_332,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_285]),c_0_97]),c_0_300]) ).

cnf(c_0_333,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_322]),c_0_32]),c_0_97]),c_0_90]) ).

cnf(c_0_334,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e0) = e2
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_142]) ).

cnf(c_0_335,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e2) = e1
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_180,c_0_207]) ).

cnf(c_0_336,plain,
    ( op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e2) = e1
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_207]) ).

cnf(c_0_337,plain,
    ( op(e1,e1) = e0
    | op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_324]) ).

cnf(c_0_338,plain,
    ( op(e0,e0) = e2
    | op(e2,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).

cnf(c_0_339,plain,
    ( op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_138]),c_0_125]) ).

cnf(c_0_340,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_341,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e1,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_329]) ).

cnf(c_0_342,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_329]) ).

cnf(c_0_343,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e3) = e0
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_344,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e0
    | op(e0,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_332]),c_0_333]) ).

cnf(c_0_345,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e2) = e0
    | op(e0,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_334,c_0_331]) ).

cnf(c_0_346,plain,
    ( op(e0,e1) = e0
    | op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_316]),c_0_336]) ).

cnf(c_0_347,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e1,e2) = e0
    | op(e0,e2) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

fof(c_0_348,plain,
    ( e2 != op(e0,op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | e3 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).

cnf(c_0_349,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_94,c_0_339]) ).

cnf(c_0_350,plain,
    ( op(e0,e0) = e2
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_338]),c_0_341]),c_0_342]) ).

cnf(c_0_351,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_352,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) = e2
    | op(e0,e1) = e0
    | op(e0,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_343]),c_0_344]) ).

cnf(c_0_353,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) = e2
    | op(e0,e1) = e0
    | op(e0,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_345]),c_0_344]) ).

cnf(c_0_354,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_355,plain,
    ( op(e0,e1) = e0
    | op(e3,e2) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_139,c_0_346]) ).

cnf(c_0_356,plain,
    ( op(e1,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e0) = e2
    | op(e0,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_347]),c_0_317]) ).

cnf(c_0_357,plain,
    ( e2 != op(e0,op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | e3 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_358,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_125]) ).

cnf(c_0_359,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_353]) ).

cnf(c_0_360,plain,
    ( op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_361,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e2) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_356]),c_0_317]) ).

cnf(c_0_362,plain,
    ( op(e2,e2) = e1
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_204,c_0_201]) ).

cnf(c_0_363,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) != e2
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_357,c_0_175]) ).

cnf(c_0_364,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_365,plain,
    ( op(e1,e1) = e0
    | op(e3,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_308,c_0_358]) ).

cnf(c_0_366,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_284,c_0_359]) ).

cnf(c_0_367,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_368,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_131,c_0_23]) ).

cnf(c_0_369,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_370,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e2
    | op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_271]) ).

cnf(c_0_371,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_362,c_0_190]) ).

cnf(c_0_372,plain,
    ( op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_363,c_0_364]) ).

cnf(c_0_373,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e3,e0) = e1
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_344]),c_0_366]) ).

cnf(c_0_374,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e0
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_298,c_0_367]) ).

cnf(c_0_375,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_376,plain,
    ( op(e2,e1) = e0
    | op(e2,e0) = e0
    | op(e1,e1) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_377,plain,
    ( op(e2,e2) = e1
    | op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_378,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_374]) ).

cnf(c_0_379,plain,
    ( op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_375]),c_0_125]) ).

cnf(c_0_380,plain,
    ( op(e0,e0) = e2
    | op(e2,e0) = e1
    | op(e1,e1) = e0
    | op(e2,e0) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_125]) ).

cnf(c_0_381,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_378]),c_0_25]) ).

cnf(c_0_382,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e0
    | op(e2,e0) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_350]),c_0_125]) ).

cnf(c_0_383,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_47,c_0_379]) ).

cnf(c_0_384,plain,
    ( op(e2,e0) = e0
    | op(e1,e1) = e0
    | op(e2,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_166,c_0_380]) ).

cnf(c_0_385,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_381]),c_0_25]) ).

cnf(c_0_386,plain,
    ( op(e2,e0) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_166,c_0_382]) ).

cnf(c_0_387,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e3) = e1
    | op(e0,e3) = e1
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_350]),c_0_125]) ).

cnf(c_0_388,plain,
    ( op(e0,e0) = e2
    | op(e2,e0) = e1
    | op(e1,e1) = e0
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_385]) ).

cnf(c_0_389,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e0
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_386,c_0_385]) ).

cnf(c_0_390,plain,
    ( op(e1,e1) = e0
    | op(e0,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_80,c_0_387]) ).

cnf(c_0_391,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_164,c_0_210]) ).

cnf(c_0_392,plain,
    ( op(e2,e0) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_388]),c_0_389]) ).

cnf(c_0_393,plain,
    ( op(e1,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e3) = e1
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_210]),c_0_391]) ).

fof(c_0_394,plain,
    ( e1 != op(e0,op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | e3 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).

cnf(c_0_395,plain,
    ( op(e0,e0) = e2
    | op(e1,e1) = e0
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_178,c_0_392]) ).

cnf(c_0_396,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = e2
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_393]),c_0_25]) ).

cnf(c_0_397,plain,
    ( e1 != op(e0,op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | e3 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_398,plain,
    ( op(e0,e3) = e1
    | op(e1,e1) = e0
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_395,c_0_396]) ).

cnf(c_0_399,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) != e1
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_397,c_0_175]) ).

cnf(c_0_400,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_398]),c_0_385]) ).

cnf(c_0_401,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_402,plain,
    ( op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_401,c_0_42]) ).

cnf(c_0_403,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_176,c_0_304]) ).

cnf(c_0_404,plain,
    ( op(e1,e0) = e0
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_402]),c_0_25]),c_0_403]) ).

cnf(c_0_405,plain,
    ( op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_24]),c_0_112]) ).

cnf(c_0_406,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_395,c_0_404]) ).

cnf(c_0_407,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e3
    | op(e0,e0) = e3
    | op(e1,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_408,plain,
    ( op(e2,e2) = e3
    | op(e0,e0) = e3
    | op(e3,e3) != e3
    | op(e1,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_409,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_410,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e1
    | op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_37,c_0_405]) ).

cnf(c_0_411,plain,
    op(e0,e0) = e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_406]),c_0_385]) ).

cnf(c_0_412,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_413,plain,
    ( op(e2,e2) = e3
    | op(e0,e0) = e3
    | op(e1,e3) != e1 ),
    inference(csr,[status(thm)],[c_0_407,c_0_408]) ).

cnf(c_0_414,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_415,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_213,c_0_96]) ).

cnf(c_0_416,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_148]),c_0_409]) ).

cnf(c_0_417,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_23]),c_0_125]) ).

cnf(c_0_418,plain,
    ( op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e0,e0) = e1
    | op(e1,e1) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_410]),c_0_97]) ).

cnf(c_0_419,plain,
    op(e0,e3) != e2,
    inference(rw,[status(thm)],[c_0_294,c_0_411]) ).

cnf(c_0_420,plain,
    ( op(e1,e1) = e3
    | op(e0,e0) = e3
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_412,c_0_52]) ).

cnf(c_0_421,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_180,c_0_135]) ).

cnf(c_0_422,plain,
    ( op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e2,e2) = e3
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

cnf(c_0_423,plain,
    ( op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_415,c_0_414]) ).

cnf(c_0_424,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e3,e0) = e1
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_147,c_0_416]) ).

cnf(c_0_425,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_412,c_0_417]) ).

cnf(c_0_426,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_427,plain,
    ( op(e1,e1) = e3
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_411]),c_0_411]),c_0_112]),c_0_90]),c_0_419]) ).

cnf(c_0_428,plain,
    ( op(e1,e1) = e3
    | op(e1,e2) != e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_411]),c_0_90]) ).

cnf(c_0_429,plain,
    ( op(e1,e1) = e3
    | op(e1,e0) != e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_411]),c_0_411]),c_0_112]),c_0_90]) ).

cnf(c_0_430,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_97]) ).

cnf(c_0_431,plain,
    ( op(e3,e0) = e1
    | op(e2,e2) = e0
    | op(e1,e1) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_411])]) ).

fof(c_0_432,plain,
    ( e2 != op(e1,op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])]) ).

cnf(c_0_433,plain,
    op(e0,e2) != e2,
    inference(rw,[status(thm)],[c_0_84,c_0_411]) ).

cnf(c_0_434,plain,
    ( op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e2) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_411]),c_0_112]) ).

cnf(c_0_435,plain,
    op(e1,e1) = e3,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_90]),c_0_428]),c_0_429]) ).

cnf(c_0_436,plain,
    ( op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_411]),c_0_411]),c_0_112]),c_0_90]) ).

cnf(c_0_437,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) = e0
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_180,c_0_431]) ).

cnf(c_0_438,plain,
    ( e2 != op(e1,op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_439,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_440,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_245,c_0_113]) ).

cnf(c_0_441,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_442,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e1,e2) = e2 ),
    inference(sr,[status(thm)],[c_0_65,c_0_433]) ).

cnf(c_0_443,plain,
    ( op(e2,e2) = e0
    | op(e1,e2) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_435]),c_0_32]) ).

cnf(c_0_444,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_435]),c_0_97]) ).

cnf(c_0_445,plain,
    ( op(e2,e2) = e0
    | op(e1,e0) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_437,c_0_435]),c_0_32]) ).

cnf(c_0_446,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e1,e3) != e2
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_447,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_448,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_440,c_0_50]) ).

cnf(c_0_449,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_450,plain,
    op(e2,e2) = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_445]) ).

cnf(c_0_451,plain,
    ( op(e2,e2) = e1
    | op(e3,e1) = e0
    | op(e3,e1) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_411]),c_0_112]) ).

cnf(c_0_452,plain,
    ( op(e1,e2) = e2
    | op(e1,e0) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_446,c_0_269]) ).

cnf(c_0_453,plain,
    op(e1,e0) != e2,
    inference(rw,[status(thm)],[c_0_164,c_0_411]) ).

cnf(c_0_454,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_176,c_0_149]) ).

cnf(c_0_455,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e1
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_53,c_0_96]) ).

cnf(c_0_456,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_354,c_0_113]) ).

fof(c_0_457,plain,
    ( e1 != op(e0,op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | e2 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax17])]) ).

cnf(c_0_458,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_459,plain,
    ( op(e1,e2) = e2
    | op(e3,e1) != e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_450]),c_0_25]) ).

cnf(c_0_460,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_450]),c_0_125]) ).

cnf(c_0_461,plain,
    ( op(e1,e2) = e2
    | op(e3,e1) != e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_435]),c_0_435]),c_0_435]),c_0_453]),c_0_32]),c_0_97]),c_0_90]) ).

cnf(c_0_462,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) != e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_411]),c_0_411]),c_0_90]),c_0_112]) ).

cnf(c_0_463,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_411]),c_0_112]) ).

cnf(c_0_464,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_456,c_0_85]) ).

cnf(c_0_465,plain,
    ( e1 != op(e0,op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | e2 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

cnf(c_0_466,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e1,e2) != e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_411]),c_0_90]) ).

cnf(c_0_467,plain,
    op(e1,e2) = e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_461]) ).

cnf(c_0_468,plain,
    op(e1,e0) != e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_462,c_0_435]),c_0_32]) ).

cnf(c_0_469,plain,
    op(e3,e2) != e0,
    inference(rw,[status(thm)],[c_0_94,c_0_450]) ).

cnf(c_0_470,plain,
    op(e3,e2) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_450]),c_0_125]) ).

cnf(c_0_471,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_447,c_0_464]) ).

cnf(c_0_472,plain,
    op(e0,e2) != e0,
    inference(rw,[status(thm)],[c_0_83,c_0_450]) ).

cnf(c_0_473,plain,
    ( op(e0,e2) != e1
    | op(e2,e0) != e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_411]),c_0_411]),c_0_411])]) ).

cnf(c_0_474,plain,
    op(e2,e0) = e3,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_467])]),c_0_468]),c_0_469]),c_0_470]) ).

cnf(c_0_475,plain,
    op(e0,e2) = e1,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_471,c_0_467])]),c_0_470]),c_0_469]),c_0_472]),c_0_433]) ).

cnf(c_0_476,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_473,c_0_474])]),c_0_475])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : ALG142+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n013.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Fri May  3 13:52:19 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.bIyeFrhxSv/E---3.1_20931.p
% 7.17/1.85  # Version: 3.1.0
% 7.17/1.85  # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.17/1.85  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.17/1.85  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.17/1.85  # Starting new_bool_3 with 300s (1) cores
% 7.17/1.85  # Starting new_bool_1 with 300s (1) cores
% 7.17/1.85  # Starting sh5l with 300s (1) cores
% 7.17/1.85  # new_bool_3 with pid 21010 completed with status 8
% 7.17/1.85  # new_bool_1 with pid 21011 completed with status 8
% 7.17/1.85  # sh5l with pid 21012 completed with status 8
% 7.17/1.85  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21009 completed with status 0
% 7.17/1.85  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.17/1.85  # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.17/1.85  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.17/1.85  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.17/1.85  # No SInE strategy applied
% 7.17/1.85  # Search class: FGHPF-FSLM22-SFFFFFNN
% 7.17/1.85  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.17/1.85  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 7.17/1.85  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.17/1.85  # Starting new_bool_3 with 136s (1) cores
% 7.17/1.85  # Starting new_bool_1 with 136s (1) cores
% 7.17/1.85  # Starting sh5l with 136s (1) cores
% 7.17/1.85  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21029 completed with status 0
% 7.17/1.85  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.17/1.85  # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.17/1.85  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.17/1.85  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.17/1.85  # No SInE strategy applied
% 7.17/1.85  # Search class: FGHPF-FSLM22-SFFFFFNN
% 7.17/1.85  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.17/1.85  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 7.17/1.85  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.17/1.85  # Preprocessing time       : 0.002 s
% 7.17/1.85  # Presaturation interreduction done
% 7.17/1.85  
% 7.17/1.85  # Proof found!
% 7.17/1.85  # SZS status Unsatisfiable
% 7.17/1.85  # SZS output start CNFRefutation
% See solution above
% 7.17/1.85  # Parsed axioms                        : 29
% 7.17/1.85  # Removed by relevancy pruning/SinE    : 0
% 7.17/1.85  # Initial clauses                      : 190
% 7.17/1.85  # Removed in clause preprocessing      : 0
% 7.17/1.85  # Initial clauses in saturation        : 190
% 7.17/1.85  # Processed clauses                    : 7021
% 7.17/1.85  # ...of these trivial                  : 74
% 7.17/1.85  # ...subsumed                          : 4311
% 7.17/1.85  # ...remaining for further processing  : 2635
% 7.17/1.85  # Other redundant clauses eliminated   : 0
% 7.17/1.85  # Clauses deleted for lack of memory   : 0
% 7.17/1.85  # Backward-subsumed                    : 1353
% 7.17/1.85  # Backward-rewritten                   : 943
% 7.17/1.85  # Generated clauses                    : 57560
% 7.17/1.85  # ...of the previous two non-redundant : 57223
% 7.17/1.85  # ...aggressively subsumed             : 0
% 7.17/1.85  # Contextual simplify-reflections      : 127
% 7.17/1.85  # Paramodulations                      : 57066
% 7.17/1.85  # Factorizations                       : 358
% 7.17/1.85  # NegExts                              : 0
% 7.17/1.85  # Equation resolutions                 : 0
% 7.17/1.85  # Disequality decompositions           : 0
% 7.17/1.85  # Total rewrite steps                  : 1192
% 7.17/1.85  # ...of those cached                   : 1182
% 7.17/1.85  # Propositional unsat checks           : 0
% 7.17/1.85  #    Propositional check models        : 0
% 7.17/1.85  #    Propositional check unsatisfiable : 0
% 7.17/1.85  #    Propositional clauses             : 0
% 7.17/1.85  #    Propositional clauses after purity: 0
% 7.17/1.85  #    Propositional unsat core size     : 0
% 7.17/1.85  #    Propositional preprocessing time  : 0.000
% 7.17/1.85  #    Propositional encoding time       : 0.000
% 7.17/1.85  #    Propositional solver time         : 0.000
% 7.17/1.85  #    Success case prop preproc time    : 0.000
% 7.17/1.85  #    Success case prop encoding time   : 0.000
% 7.17/1.85  #    Success case prop solver time     : 0.000
% 7.17/1.85  # Current number of processed clauses  : 45
% 7.17/1.85  #    Positive orientable unit clauses  : 10
% 7.17/1.85  #    Positive unorientable unit clauses: 0
% 7.17/1.85  #    Negative unit clauses             : 28
% 7.17/1.85  #    Non-unit-clauses                  : 7
% 7.17/1.85  # Current number of unprocessed clauses: 49581
% 7.17/1.85  # ...number of literals in the above   : 411309
% 7.17/1.85  # Current number of archived formulas  : 0
% 7.17/1.85  # Current number of archived clauses   : 2590
% 7.17/1.85  # Clause-clause subsumption calls (NU) : 145856
% 7.17/1.85  # Rec. Clause-clause subsumption calls : 5214
% 7.17/1.85  # Non-unit clause-clause subsumptions  : 2212
% 7.17/1.85  # Unit Clause-clause subsumption calls : 2476
% 7.17/1.85  # Rewrite failures with RHS unbound    : 0
% 7.17/1.85  # BW rewrite match attempts            : 10
% 7.17/1.85  # BW rewrite match successes           : 10
% 7.17/1.85  # Condensation attempts                : 0
% 7.17/1.85  # Condensation successes               : 0
% 7.17/1.85  # Termbank termtop insertions          : 1076737
% 7.17/1.85  # Search garbage collected termcells   : 519
% 7.17/1.85  
% 7.17/1.85  # -------------------------------------------------
% 7.17/1.85  # User time                : 1.341 s
% 7.17/1.85  # System time              : 0.043 s
% 7.17/1.85  # Total time               : 1.384 s
% 7.17/1.85  # Maximum resident set size: 2024 pages
% 7.17/1.85  
% 7.17/1.85  # -------------------------------------------------
% 7.17/1.85  # User time                : 6.744 s
% 7.17/1.85  # System time              : 0.217 s
% 7.17/1.85  # Total time               : 6.961 s
% 7.17/1.85  # Maximum resident set size: 1748 pages
% 7.17/1.85  % E---3.1 exiting
%------------------------------------------------------------------------------