TSTP Solution File: ALG152+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ALG152+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : Mon May 20 18:03:33 EDT 2024

% Result   : Unsatisfiable 11.12s 2.57s
% Output   : CNFRefutation 11.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',ax3) ).

fof(ax5,axiom,
    ( ( ( op(e0,e0) = e0
        & ( 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,e1) = e0
        & ( 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,e2) = e0
        & ( 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,e3) = e0
        & ( 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 ) )
      | ( op(e1,e0) = e1
        & ( 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(e1,e1) = e1
        & ( 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(e1,e2) = e1
        & ( 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(e1,e3) = e1
        & ( 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 ) )
      | ( op(e2,e0) = e2
        & ( 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(e2,e1) = e2
        & ( 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(e2,e2) = e2
        & ( 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(e2,e3) = e2
        & ( 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 ) )
      | ( op(e3,e0) = e3
        & ( 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(e3,e1) = 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(e3,e2) = 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(e3,e3) = 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 ) ) )
    & ( ( op(e0,e0) = e0
        & ( 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(e1,e1) = e1
        & ( 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(e2,e2) = e2
        & ( 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(e3,e3) = 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/benchmark/theBenchmark.p',ax5) ).

fof(ax4,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

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/benchmark/theBenchmark.p',ax1) ).

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/benchmark/theBenchmark.p',ax2) ).

fof(ax21,axiom,
    ~ ( e2 = op(e3,op(e3,e3))
      & e1 = op(e3,op(e3,op(e3,e3)))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(ax19,axiom,
    ~ ( e2 = op(e3,op(e3,e3))
      & e0 = op(e3,op(e3,op(e3,e3)))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(ax25,axiom,
    ~ ( e3 = op(e2,op(e2,e2))
      & e0 = op(e2,op(e2,op(e2,e2)))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(ax27,axiom,
    ~ ( e3 = op(e2,op(e2,e2))
      & e1 = op(e2,op(e2,op(e2,e2)))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(ax29,axiom,
    ~ ( e3 = op(e1,op(e1,e1))
      & e2 = op(e1,op(e1,op(e1,e1)))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(ax23,axiom,
    ~ ( e2 = op(e1,op(e1,e1))
      & e3 = op(e1,op(e1,op(e1,e1)))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(ax18,axiom,
    ~ ( e2 = op(e1,op(e1,e1))
      & e0 = op(e1,op(e1,op(e1,e1)))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(ax24,axiom,
    ~ ( e3 = op(e1,op(e1,e1))
      & e0 = op(e1,op(e1,op(e1,e1)))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(ax14,axiom,
    ~ ( e1 = op(e0,op(e0,e0))
      & e2 = op(e0,op(e0,op(e0,e0)))
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(ax28,axiom,
    ~ ( e3 = op(e0,op(e0,e0))
      & e2 = op(e0,op(e0,op(e0,e0)))
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(ax22,axiom,
    ~ ( e2 = op(e0,op(e0,e0))
      & e3 = op(e0,op(e0,op(e0,e0)))
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(ax20,axiom,
    ~ ( e2 = op(e0,op(e0,e0))
      & e1 = op(e0,op(e0,op(e0,e0)))
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(ax26,axiom,
    ~ ( e3 = op(e0,op(e0,e0))
      & e1 = op(e0,op(e0,op(e0,e0)))
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(ax9,axiom,
    ~ ( e0 = op(e3,op(e3,e3))
      & e2 = op(e3,op(e3,op(e3,e3)))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(ax11,axiom,
    ~ ( e0 = op(e2,op(e2,e2))
      & e3 = op(e2,op(e2,op(e2,e2)))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(ax8,axiom,
    ~ ( e0 = op(e1,op(e1,e1))
      & e2 = op(e1,op(e1,op(e1,e1)))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(ax13,axiom,
    ~ ( e1 = op(e3,op(e3,e3))
      & e0 = op(e3,op(e3,op(e3,e3)))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(ax7,axiom,
    ~ ( e0 = op(e3,op(e3,e3))
      & e1 = op(e3,op(e3,op(e3,e3)))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(ax17,axiom,
    ~ ( e1 = op(e2,op(e2,e2))
      & e3 = op(e2,op(e2,op(e2,e2)))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(ax12,axiom,
    ~ ( e1 = op(e2,op(e2,e2))
      & e0 = op(e2,op(e2,op(e2,e2)))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(ax6,axiom,
    ~ ( e0 = op(e2,op(e2,e2))
      & e1 = op(e2,op(e2,op(e2,e2)))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(ax10,axiom,
    ~ ( e0 = op(e1,op(e1,e1))
      & e3 = op(e1,op(e1,op(e1,e1)))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(ax16,axiom,
    ~ ( e1 = op(e0,op(e0,e0))
      & e3 = op(e0,op(e0,op(e0,e0)))
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(c_0_28,plain,
    ( epred7_0
  <=> ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & ( 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(e1,e0) = e1
        & 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(e1,e1) = e1
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & ( 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(e2,e0) = e2
        & 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(e2,e1) = e2
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e2,e2) = e2
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e2,e3) = e2
        & ( 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,e0) = e3
        & 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(e3,e1) = e3
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    introduced(definition) ).

fof(c_0_29,plain,
    ( epred8_0
  <=> ( ( op(e0,e0) = e0
        & ( 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(e1,e1) = e1
        & ( 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 ) ) ) ),
    introduced(definition) ).

fof(c_0_30,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]) ).

fof(c_0_31,plain,
    ( ( epred7_0
      | ( op(e3,e2) = e3
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e3,e3) = 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 ) )
    & ( epred8_0
      | ( op(e2,e2) = e2
        & ( 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(e3,e3) = 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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax5]),c_0_28]),c_0_29]) ).

fof(c_0_32,plain,
    ( epred6_0
  <=> ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & ( 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(e1,e0) = e1
        & 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(e1,e1) = e1
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & ( 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(e2,e0) = e2
        & 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(e2,e1) = e2
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e2,e2) = e2
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e2,e3) = e2
        & ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_33,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_30]) ).

fof(c_0_34,plain,
    ( ( op(e3,e3) = e3
      | op(e3,e2) = e3
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e2) = e3
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e2) = e3
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e2) = e3
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e3,e2) = e3
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) != e2
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e2,e2) != e2
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e2,e2) != e2
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e2,e2) != e2
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) != e2
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) != e2
      | op(e0,e2) = e0
      | epred8_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0
      | op(e0,e0) != e2
      | op(e0,e2) = e0
      | epred8_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1
      | op(e0,e0) != e2
      | op(e0,e2) = e0
      | epred8_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2
      | op(e0,e0) != e2
      | op(e0,e2) = e0
      | epred8_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3
      | op(e0,e0) != e2
      | op(e0,e2) = e0
      | epred8_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) != e2
      | op(e1,e2) = e1
      | epred8_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0
      | op(e1,e1) != e2
      | op(e1,e2) = e1
      | epred8_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1
      | op(e1,e1) != e2
      | op(e1,e2) = e1
      | epred8_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2
      | op(e1,e1) != e2
      | op(e1,e2) = e1
      | epred8_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3
      | op(e1,e1) != e2
      | op(e1,e2) = e1
      | epred8_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) != e2
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0
      | op(e2,e2) != e2
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1
      | op(e2,e2) != e2
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2
      | op(e2,e2) != e2
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3
      | op(e2,e2) != e2
      | op(e2,e2) = e2
      | epred8_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) != e2
      | op(e3,e2) = e3
      | epred8_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0
      | op(e3,e3) != e2
      | op(e3,e2) = e3
      | epred8_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1
      | op(e3,e3) != e2
      | op(e3,e2) = e3
      | epred8_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2
      | op(e3,e3) != e2
      | op(e3,e2) = e3
      | epred8_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3
      | op(e3,e3) != e2
      | op(e3,e2) = e3
      | epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).

fof(c_0_35,plain,
    ( epred7_0
   => ( epred6_0
      | ( op(e3,e0) = e3
        & 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(e3,e1) = e3
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_28]),c_0_32]) ).

cnf(c_0_36,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_39,plain,
    ( op(e3,e2) = e3
    | epred7_0
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_40,plain,
    ( op(e3,e3) = e3
    | epred7_0
    | op(e2,e2) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( epred7_0
    | op(e3,e3) != e3
    | op(e2,e2) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_42,plain,
    ( ( op(e3,e1) = e3
      | op(e3,e0) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e3,e0) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e1
      | op(e3,e0) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e3,e0) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e3,e0) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e3
      | op(e0,e0) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e0,e0) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e0,e0) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e0,e0) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred6_0
      | ~ epred7_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

cnf(c_0_43,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_44,plain,
    ( op(e3,e2) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,plain,
    ( epred7_0
    | op(e2,e2) != e2 ),
    inference(csr,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,plain,
    ( op(e3,e0) = e3
    | epred6_0
    | op(e3,e3) != e1
    | op(e3,e1) != e3
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | epred6_0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,plain,
    ( epred8_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

fof(c_0_49,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_simplification,[status(thm)],[ax4]) ).

cnf(c_0_50,plain,
    ( op(e3,e0) = e3
    | epred6_0
    | op(e3,e3) != e1
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_52,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | epred8_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_53,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_nnf,[status(thm)],[c_0_49]) ).

cnf(c_0_54,plain,
    ( op(e3,e0) = e3
    | epred8_0
    | epred6_0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_50,c_0_48]) ).

cnf(c_0_55,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_56,plain,
    ( op(e3,e0) = e3
    | epred8_0
    | epred6_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,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_58,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_59,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_60,plain,
    ( op(e3,e1) = e3
    | epred6_0
    | op(e3,e3) != e0
    | op(e3,e0) != e3
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_61,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e3
    | epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_62,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_63,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,plain,
    ( op(e3,e1) = e3
    | epred6_0
    | op(e3,e3) != e0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[c_0_60,c_0_47]) ).

cnf(c_0_65,plain,
    ( op(e3,e2) = e0
    | op(e3,e0) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_66,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_67,plain,
    ( e2 != op(e3,op(e3,e3))
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).

cnf(c_0_68,plain,
    ( op(e3,e1) = e3
    | epred8_0
    | epred6_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_48]) ).

cnf(c_0_69,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_65]),c_0_66]) ).

cnf(c_0_70,plain,
    ( e2 != op(e3,op(e3,e3))
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_71,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e1) = e3
    | epred8_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,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_73,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_74,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_75,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred8_0
    | epred6_0
    | op(e3,op(e3,e0)) != e1
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_70,c_0_69]) ).

cnf(c_0_76,plain,
    ( op(e3,e2) = e0
    | op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_71]),c_0_66]) ).

cnf(c_0_77,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e0) = e0
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_63]) ).

cnf(c_0_78,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_72]),c_0_73]) ).

fof(c_0_79,plain,
    ( e2 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])]) ).

cnf(c_0_80,plain,
    ( op(e3,e0) = e3
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_52]),c_0_74]),c_0_54]) ).

cnf(c_0_81,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_82,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred6_0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_83,plain,
    ( op(e3,e0) = e0
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e2) = e0
    | op(e3,e3) = e0
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_74]),c_0_73]) ).

cnf(c_0_84,plain,
    ( e2 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_85,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | epred8_0
    | op(e3,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_86,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e3,e2) = e0
    | epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_76]),c_0_66]),c_0_81]),c_0_82]) ).

cnf(c_0_87,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e1
    | op(e3,e2) = e1
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_83]),c_0_63]),c_0_73]) ).

cnf(c_0_88,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,op(e3,e1)) != e0
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_84,c_0_55]) ).

cnf(c_0_89,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e2) = e3
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_66]) ).

cnf(c_0_90,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_86]),c_0_59]),c_0_81]) ).

cnf(c_0_91,plain,
    op(e3,e0) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_92,plain,
    ( op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_58]) ).

cnf(c_0_93,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_94,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred6_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_91,c_0_61]) ).

cnf(c_0_95,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e2
    | epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_59]),c_0_94]) ).

fof(c_0_96,plain,
    ( epred5_0
  <=> ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & ( 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(e1,e0) = e1
        & 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(e1,e1) = e1
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & ( 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(e2,e0) = e2
        & 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(e2,e1) = e2
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    introduced(definition) ).

cnf(c_0_97,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_95]),c_0_66]) ).

fof(c_0_98,plain,
    ( epred6_0
   => ( epred5_0
      | ( op(e2,e2) = e2
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e2,e3) = e2
        & ( 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 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_32]),c_0_96]) ).

cnf(c_0_99,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_97]),c_0_93]) ).

fof(c_0_100,plain,
    ( ( op(e2,e3) = e2
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e2
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e2
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e2
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e2
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])]) ).

cnf(c_0_101,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e3
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_99]),c_0_66]) ).

cnf(c_0_102,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e3
    | epred8_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_37]) ).

cnf(c_0_103,plain,
    ( op(e2,e2) = e2
    | epred5_0
    | op(e3,e3) != e3
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_104,plain,
    ( epred5_0
    | op(e3,e3) != e3
    | op(e2,e2) != e2
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

fof(c_0_105,plain,
    ( epred4_0
  <=> ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & ( 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(e1,e0) = e1
        & 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(e1,e1) = e1
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & ( 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 ) ) ),
    introduced(definition) ).

cnf(c_0_106,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | epred5_0
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_107,plain,
    ( op(e2,e3) = e2
    | epred5_0
    | op(e2,e2) != e2
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_108,plain,
    op(e2,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_109,plain,
    ( op(e3,e2) = e2
    | epred8_0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_101]),c_0_63]),c_0_66]) ).

cnf(c_0_110,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_102]),c_0_37]) ).

cnf(c_0_111,plain,
    ( epred5_0
    | op(e3,e3) != e3
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_103,c_0_104]) ).

fof(c_0_112,plain,
    ( epred5_0
   => ( epred4_0
      | ( op(e2,e0) = e2
        & 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(e2,e1) = e2
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_96]),c_0_105]) ).

cnf(c_0_113,plain,
    ( op(e2,e3) = e2
    | epred5_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_114,plain,
    ( epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).

cnf(c_0_115,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred5_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_111,c_0_37]) ).

fof(c_0_116,plain,
    ( ( op(e2,e1) = e2
      | op(e2,e0) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e2,e0) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e1
      | op(e2,e0) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e2,e0) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e2,e0) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e2
      | op(e0,e0) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e0,e0) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e0,e0) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e0,e0) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e2
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e2
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e2
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred4_0
      | ~ epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])]) ).

cnf(c_0_117,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_118,plain,
    ( op(e2,e3) = e2
    | epred8_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_119,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_114]) ).

cnf(c_0_120,plain,
    ( op(e2,e0) = e2
    | epred4_0
    | op(e2,e2) != e1
    | op(e2,e1) != e2
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_121,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | epred4_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_122,plain,
    ( epred8_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).

cnf(c_0_123,plain,
    ( op(e2,e0) = e2
    | epred4_0
    | op(e2,e2) != e1
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_124,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_125,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | epred8_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_126,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_127,plain,
    ( op(e2,e0) = e2
    | epred8_0
    | epred4_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_123,c_0_122]) ).

cnf(c_0_128,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_129,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_130,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_131,plain,
    ( op(e2,e0) = e2
    | epred8_0
    | epred4_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_132,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e1
    | op(e2,e0) = e1
    | epred8_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125]),c_0_81]),c_0_127]) ).

cnf(c_0_133,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e3
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_125]),c_0_66]) ).

cnf(c_0_134,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_125]),c_0_59]) ).

cnf(c_0_135,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_128]),c_0_63]) ).

cnf(c_0_136,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e2,e0) = e2
    | epred8_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_130]),c_0_131]) ).

cnf(c_0_137,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_128]),c_0_74]) ).

cnf(c_0_138,plain,
    ( op(e2,e2) = e3
    | op(e2,e3) = e3
    | op(e2,e0) = e2
    | op(e2,e3) = e1
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_66]),c_0_74]) ).

cnf(c_0_139,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_126]),c_0_73]) ).

cnf(c_0_140,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e2
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_132]),c_0_81]),c_0_73]) ).

cnf(c_0_141,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e3
    | op(e2,e3) = e3
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_66]),c_0_59]) ).

cnf(c_0_142,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e2) = e3
    | op(e2,e3) = e3
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_66]),c_0_81]) ).

fof(c_0_143,plain,
    ( e3 != op(e2,op(e2,e2))
    | e0 != op(e2,op(e2,op(e2,e2)))
    | e1 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])]) ).

cnf(c_0_144,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_81]),c_0_59]) ).

cnf(c_0_145,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e1
    | op(e2,e2) = e3
    | op(e2,e2) = e0
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_73]),c_0_74]) ).

cnf(c_0_146,plain,
    ( e3 != op(e2,op(e2,e2))
    | e0 != op(e2,op(e2,op(e2,e2)))
    | e1 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_147,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_63]),c_0_74]) ).

cnf(c_0_148,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred8_0
    | epred4_0
    | op(e2,op(e2,e1)) != e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_149,plain,
    ( op(e2,e1) = e2
    | epred4_0
    | op(e2,e2) != e0
    | op(e2,e0) != e2
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_150,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_151,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e2) = e3
    | op(e2,e2) = e0
    | epred8_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_128]),c_0_141]) ).

cnf(c_0_152,plain,
    op(e2,e0) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_153,plain,
    ( op(e2,e1) = e2
    | epred4_0
    | op(e2,e2) != e0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_149,c_0_121]) ).

cnf(c_0_154,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_150,c_0_37]) ).

cnf(c_0_155,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_151]),c_0_66]) ).

cnf(c_0_156,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred8_0
    | epred4_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_152,c_0_136]) ).

fof(c_0_157,plain,
    ( e3 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])]) ).

cnf(c_0_158,plain,
    ( op(e2,e1) = e2
    | epred8_0
    | epred4_0
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_122]) ).

cnf(c_0_159,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | epred8_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).

cnf(c_0_160,plain,
    ( e3 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_161,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e2
    | epred8_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_162,plain,
    ( op(e2,e2) = e3
    | epred8_0
    | epred4_0
    | op(e2,op(e2,e0)) != e1
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_160,c_0_159]) ).

cnf(c_0_163,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e3
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_161]),c_0_66]) ).

cnf(c_0_164,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | epred8_0
    | epred4_0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_165,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e1
    | op(e2,e2) = e3
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_142]),c_0_74]) ).

cnf(c_0_166,plain,
    ( op(e2,e2) = e3
    | epred8_0
    | epred4_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_124,c_0_161]) ).

cnf(c_0_167,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e1
    | epred8_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_165]),c_0_166]) ).

fof(c_0_168,plain,
    ( epred3_0
  <=> ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & ( 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(e1,e0) = e1
        & 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(e1,e1) = e1
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    introduced(definition) ).

cnf(c_0_169,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_170,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | epred8_0
    | op(e2,e2) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_171,plain,
    ( op(e2,e2) = e3
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_167]),c_0_74]),c_0_73]) ).

fof(c_0_172,plain,
    ( epred4_0
   => ( epred3_0
      | ( op(e1,e2) = e1
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & ( 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 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_105]),c_0_168]) ).

cnf(c_0_173,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e1
    | epred8_0
    | epred4_0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_169,c_0_140]) ).

cnf(c_0_174,plain,
    ( op(e2,e3) = e2
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_66]) ).

fof(c_0_175,plain,
    ( ( op(e1,e3) = e1
      | op(e1,e2) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e1,e2) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e1,e2) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e1,e2) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e3
      | op(e1,e2) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e1
      | op(e2,e2) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e2,e2) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e2,e2) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e2,e2) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred3_0
      | ~ epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])]) ).

cnf(c_0_176,plain,
    ( op(e2,e2) = e0
    | epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_59]),c_0_81]) ).

cnf(c_0_177,plain,
    ( epred3_0
    | op(e1,e1) != e3
    | op(e1,e3) != e1
    | op(e2,e2) != e2
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_178,plain,
    ( op(e1,e3) = e1
    | epred3_0
    | op(e2,e2) != e2
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_179,plain,
    ( op(e1,e3) = e1
    | op(e2,e2) = e2
    | epred8_0
    | op(e1,e1) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_180,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_181,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e3,e3) != e3
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_182,plain,
    ( epred8_0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_176]),c_0_63]) ).

cnf(c_0_183,plain,
    ( epred3_0
    | op(e1,e1) != e3
    | op(e2,e2) != e2
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_184,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_185,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_186,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1
    | epred3_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_187,plain,
    op(e1,e1) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_188,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_189,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3
    | op(e2,e2) = e2
    | op(e1,e3) = e1
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_190,plain,
    ( op(e1,e2) = e1
    | epred8_0
    | epred3_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_191,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3
    | epred3_0
    | op(e2,e2) != e2
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_180]) ).

cnf(c_0_192,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_193,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_182]) ).

cnf(c_0_194,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_187,c_0_185]) ).

cnf(c_0_195,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_196,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_197,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_198,plain,
    ( op(e2,e2) = e2
    | op(e0,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | epred8_0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_199,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) = e1
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_190,c_0_37]) ).

cnf(c_0_200,plain,
    ( op(e0,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | epred8_0
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_191,c_0_182]) ).

cnf(c_0_201,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_202,plain,
    op(e1,e0) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_203,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).

cnf(c_0_204,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_205,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_197,c_0_196]) ).

cnf(c_0_206,plain,
    op(e0,e1) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_207,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).

cnf(c_0_208,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_209,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_188,c_0_201]) ).

cnf(c_0_210,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred3_0
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_211,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_193]),c_0_205]) ).

cnf(c_0_212,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | epred8_0
    | epred3_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_213,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_199]),c_0_74]),c_0_43]) ).

cnf(c_0_214,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred3_0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_203]) ).

cnf(c_0_215,plain,
    ( op(e2,e2) = e2
    | op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_209,c_0_199]) ).

cnf(c_0_216,plain,
    op(e1,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_217,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_218,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_219,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e2,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_220,plain,
    ( epred3_0
    | op(e3,e3) != e3
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_221,plain,
    ( op(e1,e1) = e2
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | epred8_0
    | epred3_0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_222,plain,
    ( op(e2,e1) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_218]),c_0_37]) ).

cnf(c_0_223,plain,
    ( op(e1,e1) = e2
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | epred8_0
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_217]),c_0_182]) ).

cnf(c_0_224,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e2
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | epred8_0
    | epred3_0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_216,c_0_219]) ).

fof(c_0_225,plain,
    ( e3 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).

cnf(c_0_226,plain,
    ( epred3_0
    | op(e1,e1) != e2
    | op(e3,e3) != e3
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_220,c_0_181]) ).

cnf(c_0_227,plain,
    ( op(e2,e2) = e3
    | op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e1) = e2
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).

cnf(c_0_228,plain,
    ( op(e2,e2) = e3
    | op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e2,e2) = e2
    | op(e1,e1) = e2
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_224,c_0_222]) ).

cnf(c_0_229,plain,
    ( e3 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_225]) ).

cnf(c_0_230,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e2,e2) = e3
    | epred8_0
    | epred3_0
    | op(e3,e3) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_182]) ).

cnf(c_0_231,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_232,plain,
    ( op(e2,e2) = e2
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e2,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_228]),c_0_182]),c_0_37]) ).

cnf(c_0_233,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e1,e1) != e3
    | op(e1,e3) != e1
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_234,plain,
    ( op(e1,e3) = e1
    | epred3_0
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_235,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred3_0
    | op(e1,op(e1,e0)) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_229,c_0_203]) ).

cnf(c_0_236,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e1,e0) = e3
    | op(e1,e0) = e2
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_37]) ).

cnf(c_0_237,plain,
    ( op(e2,e2) = e3
    | op(e1,e3) = e2
    | op(e2,e2) = e2
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_37]) ).

cnf(c_0_238,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e1,e1) != e3
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_233,c_0_186]) ).

cnf(c_0_239,plain,
    ( op(e1,e3) = e1
    | epred3_0
    | op(e1,e1) != e2
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_234,c_0_186]) ).

cnf(c_0_240,plain,
    ( op(e1,e0) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).

cnf(c_0_241,plain,
    ( op(e1,e2) = e1
    | epred8_0
    | epred3_0
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_238,c_0_182]) ).

cnf(c_0_242,plain,
    ( op(e1,e3) = e1
    | epred8_0
    | epred3_0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_239,c_0_182]) ).

cnf(c_0_243,plain,
    ( op(e1,e3) = e1
    | epred8_0
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_178,c_0_182]) ).

cnf(c_0_244,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e1,e0) = e2
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_240]),c_0_227]) ).

cnf(c_0_245,plain,
    ( op(e3,e3) = e3
    | op(e1,e2) = e1
    | epred8_0
    | op(e1,e1) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_246,plain,
    ( op(e1,e1) = e2
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e2) = e1
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_241,c_0_217]) ).

cnf(c_0_247,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e1
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_219]),c_0_242]),c_0_243]) ).

cnf(c_0_248,plain,
    ( op(e1,e0) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_244]),c_0_237]) ).

fof(c_0_249,plain,
    ( e2 != op(e1,op(e1,e1))
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])]) ).

cnf(c_0_250,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e2) = e1
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_190]) ).

cnf(c_0_251,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred3_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_187,c_0_203]) ).

cnf(c_0_252,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_253,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_231,c_0_201]) ).

cnf(c_0_254,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e2,e2) = e2
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_247]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_255,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_248]),c_0_237]) ).

cnf(c_0_256,plain,
    ( e2 != op(e1,op(e1,e1))
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_249]) ).

cnf(c_0_257,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e2
    | epred8_0
    | epred3_0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_197,c_0_250]) ).

cnf(c_0_258,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_259,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_199]),c_0_73]) ).

cnf(c_0_260,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_253,c_0_55]) ).

cnf(c_0_261,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_262,plain,
    ( op(e2,e2) = e2
    | op(e1,e3) = e2
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_254]),c_0_37]) ).

cnf(c_0_263,plain,
    ( op(e2,e2) = e2
    | op(e2,e3) = e2
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_255]),c_0_66]) ).

cnf(c_0_264,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred3_0
    | op(e1,op(e1,e0)) != e3
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_256,c_0_203]) ).

cnf(c_0_265,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | op(e1,e0) = e2
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_208]),c_0_74]) ).

cnf(c_0_266,plain,
    ( op(e1,e1) = e2
    | op(e0,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_258]),c_0_182]),c_0_259]) ).

cnf(c_0_267,plain,
    ( op(e1,e2) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_193]),c_0_73]),c_0_81]),c_0_74]),c_0_190]) ).

cnf(c_0_268,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).

cnf(c_0_269,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_208]) ).

cnf(c_0_270,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | op(e1,e3) = e1
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_242,c_0_266]) ).

cnf(c_0_271,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_209,c_0_267]) ).

cnf(c_0_272,plain,
    ( op(e1,e3) = e1
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_268]) ).

cnf(c_0_273,plain,
    ( op(e1,e1) = e2
    | op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_269]),c_0_208]) ).

cnf(c_0_274,plain,
    ( op(e0,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | epred8_0
    | epred3_0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_188,c_0_270]) ).

cnf(c_0_275,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_276,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_273]),c_0_265]) ).

cnf(c_0_277,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_266]),c_0_190]),c_0_274]) ).

cnf(c_0_278,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_279,plain,
    ( op(e3,e3) = e2
    | epred8_0
    | epred3_0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_36,c_0_275]) ).

cnf(c_0_280,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e3,e2) = e3
    | op(e2,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_63]) ).

cnf(c_0_281,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_209,c_0_278]) ).

cnf(c_0_282,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e2,e2) = e0
    | op(e3,e3) = e2
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_283,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_272]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_284,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_282]),c_0_66]) ).

cnf(c_0_285,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_283]),c_0_73]) ).

fof(c_0_286,plain,
    ( epred2_0
  <=> ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & ( 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 ) ) ),
    introduced(definition) ).

cnf(c_0_287,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e3
    | op(e2,e2) = e0
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_74]) ).

fof(c_0_288,plain,
    ( epred3_0
   => ( epred2_0
      | ( op(e1,e0) = e1
        & 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(e1,e1) = e1
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_168]),c_0_286]) ).

cnf(c_0_289,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e3
    | op(e2,e2) = e0
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_287]),c_0_63]) ).

fof(c_0_290,plain,
    ( ( op(e1,e1) = e1
      | op(e1,e0) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e0) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e1,e0) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e0) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e0) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e0,e0) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e0,e0) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e0,e0) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e0,e0) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred2_0
      | ~ epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_288])])]) ).

cnf(c_0_291,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_289]),c_0_81]) ).

cnf(c_0_292,plain,
    ( op(e1,e1) = e1
    | op(e1,e0) = e1
    | epred2_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_293,plain,
    ( op(e1,e0) = e1
    | epred2_0
    | op(e1,e1) != e1
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_294,plain,
    ( op(e2,e2) = e3
    | epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_291]),c_0_59]) ).

cnf(c_0_295,plain,
    ( op(e1,e0) = e1
    | epred2_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_296,plain,
    ( epred8_0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_294]),c_0_66]) ).

cnf(c_0_297,plain,
    ( op(e1,e1) = e1
    | epred2_0
    | op(e1,e1) != e0
    | op(e1,e0) != e1
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_298,plain,
    ( epred2_0
    | op(e1,e1) != e1
    | op(e1,e1) != e0
    | op(e1,e0) != e1
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_299,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_202,c_0_185]) ).

cnf(c_0_300,plain,
    ( op(e1,e0) = e1
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_301,plain,
    ( epred2_0
    | op(e1,e0) != e1
    | op(e1,e1) != e0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_302,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_303,plain,
    ( e2 != op(e1,op(e1,e1))
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])]) ).

cnf(c_0_304,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_305,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_306,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0
    | epred2_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_295]) ).

cnf(c_0_307,plain,
    ( e2 != op(e1,op(e1,e1))
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_303]) ).

cnf(c_0_308,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_304]),c_0_296]),c_0_300]) ).

cnf(c_0_309,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e0) = e2
    | op(e3,e3) = e3
    | op(e1,e2) = e1
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_305]) ).

cnf(c_0_310,plain,
    ( epred8_0
    | epred2_0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_197,c_0_300]) ).

cnf(c_0_311,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_296]) ).

cnf(c_0_312,plain,
    ( op(e1,e1) = e2
    | epred8_0
    | epred2_0
    | op(e1,op(e1,e3)) != e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_313,plain,
    ( op(e3,e3) = e3
    | op(e1,e2) = e2
    | op(e1,e3) = e2
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_300]),c_0_81]),c_0_310]) ).

cnf(c_0_314,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_311]),c_0_73]) ).

cnf(c_0_315,plain,
    ( op(e1,e2) = e2
    | op(e3,e3) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred2_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_316,plain,
    ( op(e1,e2) = e2
    | op(e3,e3) = e3
    | op(e1,e2) = e0
    | epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_313]),c_0_59]) ).

cnf(c_0_317,plain,
    op(e0,e0) != op(e1,e0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_318,plain,
    ( e3 != op(e1,op(e1,e1))
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

cnf(c_0_319,plain,
    ( op(e1,e1) = e2
    | epred8_0
    | epred2_0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_187,c_0_308]) ).

cnf(c_0_320,plain,
    ( op(e1,e2) = e2
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_59]) ).

cnf(c_0_321,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_317,c_0_196]) ).

cnf(c_0_322,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_323,plain,
    ( e3 != op(e1,op(e1,e1))
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_324,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | op(e1,e1) = e2
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_319,c_0_208]) ).

cnf(c_0_325,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_326,plain,
    ( op(e3,e3) = e3
    | op(e1,e2) = e2
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_320]),c_0_313]) ).

cnf(c_0_327,plain,
    ( op(e1,e1) = e1
    | epred2_0
    | op(e0,e0) != e0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_328,plain,
    ( epred2_0
    | op(e1,e1) != e1
    | op(e0,e0) != e0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_329,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_330,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | epred8_0
    | epred2_0
    | op(e1,op(e1,e2)) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_208]) ).

cnf(c_0_331,plain,
    ( op(e3,e3) = e3
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_37]) ).

cnf(c_0_332,plain,
    ( epred2_0
    | op(e0,e0) != e0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_333,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_300]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_334,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | epred8_0
    | epred2_0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_330,c_0_208]) ).

cnf(c_0_335,plain,
    ( epred8_0
    | epred2_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_331]) ).

cnf(c_0_336,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_337,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_338,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_296]) ).

cnf(c_0_339,plain,
    ( op(e1,e2) = e0
    | op(e0,e2) = e3
    | op(e2,e2) = e3
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_314]),c_0_335]) ).

cnf(c_0_340,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_341,plain,
    ( epred8_0
    | epred2_0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_195,c_0_300]) ).

cnf(c_0_342,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e0) = e3
    | op(e2,e2) = e2
    | op(e1,e3) = e1
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_336]) ).

cnf(c_0_343,plain,
    ( op(e0,e0) = e2
    | epred8_0
    | epred2_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_344,plain,
    ( op(e2,e2) = e3
    | op(e0,e2) = e3
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_339]),c_0_63]),c_0_335]) ).

cnf(c_0_345,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e0,e3) = e2
    | op(e1,e1) = e2
    | epred8_0
    | epred2_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_312,c_0_340]) ).

cnf(c_0_346,plain,
    ( op(e1,e2) = e0
    | op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e0,e3) = e2
    | epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_314]),c_0_59]) ).

cnf(c_0_347,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e2
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_308]),c_0_341]) ).

cnf(c_0_348,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_300]),c_0_74]),c_0_341]) ).

cnf(c_0_349,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_350,plain,
    ( op(e2,e2) = e3
    | op(e0,e0) = e2
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_351,plain,
    ( op(e1,e1) = e2
    | op(e0,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_352,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred2_0
    | op(e1,op(e1,e2)) != e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_323,c_0_347]) ).

cnf(c_0_353,plain,
    ( op(e1,e2) = e3
    | op(e2,e2) = e2
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_348]),c_0_37]) ).

fof(c_0_354,plain,
    ( epred1_0
  <=> ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    introduced(definition) ).

cnf(c_0_355,plain,
    ( op(e2,e2) = e3
    | epred8_0
    | epred2_0
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_356,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e0,e3) = e2
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_351]),c_0_340]) ).

cnf(c_0_357,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred2_0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

fof(c_0_358,plain,
    ( epred1_0
   => ( ( 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,e1) = e0
        & ( op(e0,e0) != e1
          | op(e0,e1) != e0 )
        & op(e1,e1) != e1
        & ( op(e2,e2) != e1
          | op(e2,e1) != e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) != e3 ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_354]) ).

fof(c_0_359,plain,
    ( epred2_0
   => ( epred1_0
      | ( op(e0,e2) = e0
        & ( op(e0,e0) != e2
          | op(e0,e2) != e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) != e1 )
        & op(e2,e2) != e2
        & ( op(e3,e3) != e2
          | op(e3,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & ( 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 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_286]),c_0_354]) ).

cnf(c_0_360,plain,
    ( op(e2,e3) = e2
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_361,plain,
    ( op(e1,e2) = e0
    | op(e2,e2) = e2
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_357,c_0_314]) ).

fof(c_0_362,plain,
    ( ( op(e0,e1) = e0
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e0,e1) = e0
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e0,e1) = e0
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e1,e1) != e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e0,e1) = e0
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e1,e1) != e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_358])])]) ).

fof(c_0_363,plain,
    ( ( op(e0,e3) = e0
      | op(e0,e2) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e0,e2) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e0,e2) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e0,e2) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e3
      | op(e0,e2) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e0
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e0
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e0
      | op(e2,e2) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e2,e2) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e2,e2) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e2,e2) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e0
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred1_0
      | ~ epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_359])])]) ).

cnf(c_0_364,plain,
    ( op(e2,e2) = e3
    | op(e2,e3) = e2
    | epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_360]),c_0_66]) ).

cnf(c_0_365,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_361]),c_0_63]) ).

fof(c_0_366,plain,
    ( e1 != op(e0,op(e0,e0))
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])]) ).

cnf(c_0_367,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_368,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_369,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_370,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) != e0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_371,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_372,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_373,plain,
    ( op(e0,e3) = e0
    | epred1_0
    | op(e0,e0) != e2
    | op(e0,e2) != e0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_374,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | epred1_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_375,plain,
    ( op(e2,e2) = e3
    | epred8_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_364]),c_0_365]) ).

cnf(c_0_376,plain,
    ( e1 != op(e0,op(e0,e0))
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_377,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_66]) ).

cnf(c_0_378,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_379,plain,
    ( op(e0,e1) = e0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_369,c_0_370]) ).

cnf(c_0_380,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_381,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_382,plain,
    ( op(e0,e3) = e0
    | epred1_0
    | op(e0,e0) != e2
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_383,plain,
    ( epred8_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_375]),c_0_66]) ).

cnf(c_0_384,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,op(e0,e3)) != e2
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_385,plain,
    ( op(e0,e3) != e0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_386,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_387,plain,
    ( op(e0,e2) != e0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_379]) ).

cnf(c_0_388,plain,
    ( op(e0,e3) = e0
    | epred8_0
    | epred1_0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

cnf(c_0_389,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e0
    | op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_372]),c_0_81]),c_0_74]),c_0_367]) ).

cnf(c_0_390,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]) ).

cnf(c_0_391,plain,
    ( op(e0,e2) = e0
    | epred1_0
    | op(e3,e3) != e3
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

fof(c_0_392,plain,
    ( e3 != op(e0,op(e0,e0))
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_393,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_394,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e3) = e0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_390]) ).

cnf(c_0_395,plain,
    ( op(e0,e2) = e0
    | epred8_0
    | epred1_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_391,c_0_383]) ).

cnf(c_0_396,plain,
    ( e3 != op(e0,op(e0,e0))
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_397,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_368]),c_0_74]) ).

cnf(c_0_398,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e2
    | epred8_0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_394]) ).

cnf(c_0_399,plain,
    ( op(e2,e2) = e2
    | op(e0,e2) = e0
    | epred8_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_37]) ).

cnf(c_0_400,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e0) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,op(e0,e1)) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_368]) ).

cnf(c_0_401,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_402,plain,
    ( op(e2,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | epred8_0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_63]),c_0_59]) ).

cnf(c_0_403,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_400,c_0_368]) ).

cnf(c_0_404,plain,
    ( op(e0,e3) = e2
    | op(e2,e2) = e2
    | epred8_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_37]) ).

cnf(c_0_405,plain,
    ( op(e0,e3) = e0
    | epred1_0
    | op(e2,e2) != e2
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_406,plain,
    ( op(e0,e0) != e1
    | op(e0,e1) != e0
    | op(e0,e0) != e0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_407,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) != e1
    | op(e0,e1) != e0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_408,plain,
    ( op(e0,e3) = e0
    | op(e2,e2) = e2
    | epred8_0
    | op(e0,e0) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_409,plain,
    ( op(e2,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e0) = e3
    | op(e0,e2) = e3
    | epred8_0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_66]),c_0_81]) ).

cnf(c_0_410,plain,
    ( op(e0,e3) = e0
    | epred8_0
    | epred1_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_405,c_0_383]) ).

cnf(c_0_411,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_337,c_0_322]) ).

cnf(c_0_412,plain,
    ( op(e0,e0) != e0
    | op(e0,e0) != e1
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_406,c_0_379]) ).

cnf(c_0_413,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) != e1
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_407,c_0_379]) ).

cnf(c_0_414,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_415,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e1
    | op(e0,e3) = e0
    | epred8_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_410]) ).

cnf(c_0_416,plain,
    ( op(e0,e2) = e0
    | epred1_0
    | op(e0,e0) != e3
    | op(e0,e3) != e0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_417,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_381]) ).

cnf(c_0_418,plain,
    ( op(e0,e0) != e1
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_419,plain,
    ( op(e0,e0) != e0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_414,c_0_379]) ).

cnf(c_0_420,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e3
    | epred8_0
    | op(e0,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_415]),c_0_387]) ).

cnf(c_0_421,plain,
    ( op(e0,e2) = e0
    | epred1_0
    | op(e0,e0) != e3
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[c_0_416,c_0_374]) ).

cnf(c_0_422,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_417]) ).

cnf(c_0_423,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | epred8_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_374,c_0_383]) ).

cnf(c_0_424,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_322]),c_0_419]) ).

fof(c_0_425,plain,
    ( e2 != op(e0,op(e0,e0))
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_426,plain,
    ( op(e2,e2) = e2
    | epred8_0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_399]),c_0_73]),c_0_63]) ).

cnf(c_0_427,plain,
    ( op(e0,e2) = e0
    | epred8_0
    | epred1_0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_421,c_0_383]) ).

cnf(c_0_428,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_424]) ).

cnf(c_0_429,plain,
    ( e2 != op(e0,op(e0,e0))
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_430,plain,
    ( op(e0,e3) = e0
    | epred8_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_410,c_0_426]) ).

cnf(c_0_431,plain,
    ( op(e3,e3) = e3
    | op(e0,e2) = e0
    | epred8_0
    | op(e0,e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_432,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e0
    | epred8_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_427,c_0_428]) ).

cnf(c_0_433,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,op(e0,e1)) != e3
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_429,c_0_322]) ).

cnf(c_0_434,plain,
    ( epred8_0
    | op(e0,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_430]),c_0_387]) ).

cnf(c_0_435,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | epred8_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_395]) ).

cnf(c_0_436,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_433,c_0_367]) ).

cnf(c_0_437,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred8_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_438,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e3) = e2
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_66]),c_0_424]) ).

cnf(c_0_439,plain,
    ( op(e0,e3) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e2) = e2
    | epred8_0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_438]) ).

cnf(c_0_440,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_430]),c_0_59]),c_0_424]) ).

cnf(c_0_441,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e2
    | epred8_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_337,c_0_440]) ).

cnf(c_0_442,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e2
    | epred8_0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_437]),c_0_66]) ).

cnf(c_0_443,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_444,plain,
    ( op(e0,e2) = e2
    | epred8_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_442]),c_0_395]),c_0_434]) ).

cnf(c_0_445,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_367]),c_0_59]) ).

cnf(c_0_446,plain,
    ( epred8_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_426]) ).

fof(c_0_447,plain,
    ( e2 != op(e0,op(e0,e0))
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])]) ).

cnf(c_0_448,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_393]),c_0_73]),c_0_418]) ).

cnf(c_0_449,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_450,plain,
    ( e2 != op(e0,op(e0,e0))
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_447]) ).

cnf(c_0_451,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_424,c_0_446]) ).

cnf(c_0_452,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_448,c_0_446]) ).

cnf(c_0_453,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e3,e3) = e3
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_449]),c_0_434]) ).

cnf(c_0_454,plain,
    ( op(e0,e0) = e2
    | epred8_0
    | op(e0,op(e0,e3)) != e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_455,plain,
    ( op(e3,e3) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | epred8_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_81]) ).

cnf(c_0_456,plain,
    ( op(e3,e3) = e3
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_453]),c_0_455]) ).

cnf(c_0_457,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_368]),c_0_63]) ).

cnf(c_0_458,plain,
    ( op(e0,e2) = e2
    | op(e3,e3) = e3
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_456]),c_0_453]) ).

cnf(c_0_459,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_460,plain,
    ( op(e0,e0) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_457,c_0_446]) ).

cnf(c_0_461,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_390,c_0_446]) ).

cnf(c_0_462,plain,
    ( op(e3,e3) = e3
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_458]),c_0_37]) ).

cnf(c_0_463,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e0,e2) = e2
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_459]),c_0_59]) ).

cnf(c_0_464,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e0,e2) = e2
    | op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_459]),c_0_81]) ).

cnf(c_0_465,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | epred8_0
    | op(e0,op(e0,e3)) != e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_450,c_0_460]) ).

cnf(c_0_466,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_461]),c_0_462]) ).

cnf(c_0_467,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e3
    | op(e0,e2) = e2
    | epred8_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_452]),c_0_81]),c_0_74]),c_0_73]) ).

cnf(c_0_468,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_278]),c_0_73]) ).

cnf(c_0_469,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e0,e2) = e2
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e2,e2) = e2
    | op(e3,e2) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_81]),c_0_73]) ).

fof(c_0_470,plain,
    ( e3 != op(e0,op(e0,e0))
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])]) ).

cnf(c_0_471,plain,
    ( op(e0,e0) = e2
    | epred8_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_337,c_0_451]) ).

cnf(c_0_472,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_66]),c_0_467]) ).

cnf(c_0_473,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e2,e2) = e2
    | op(e0,e3) = e0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_460]) ).

cnf(c_0_474,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_81]),c_0_59]) ).

cnf(c_0_475,plain,
    ( e3 != op(e0,op(e0,e0))
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_476,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e2
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_471,c_0_472]) ).

cnf(c_0_477,plain,
    ( op(e0,e0) = e2
    | op(e2,e2) = e2
    | op(e0,e3) = e0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_451]) ).

cnf(c_0_478,plain,
    ( op(e2,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_473]),c_0_446]) ).

cnf(c_0_479,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

fof(c_0_480,plain,
    ( e0 != op(e3,op(e3,e3))
    | e2 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])]) ).

cnf(c_0_481,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_474]),c_0_74]),c_0_45]) ).

cnf(c_0_482,plain,
    ( op(e0,e2) = e2
    | epred8_0
    | op(e0,op(e0,e2)) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_472]) ).

cnf(c_0_483,plain,
    ( op(e0,e3) = e0
    | op(e2,e2) = e2
    | epred8_0
    | op(e0,op(e0,e2)) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_475,c_0_477]) ).

cnf(c_0_484,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e2
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_478]),c_0_462]) ).

cnf(c_0_485,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_51,c_0_479]) ).

cnf(c_0_486,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_487,plain,
    ( e0 != op(e3,op(e3,e3))
    | e2 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_480]) ).

cnf(c_0_488,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_489,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_481]),c_0_63]) ).

cnf(c_0_490,plain,
    ( op(e0,e2) = e2
    | epred8_0
    | op(e0,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_472]),c_0_66]) ).

cnf(c_0_491,plain,
    ( op(e2,e2) = e2
    | op(e0,e3) = e0
    | epred8_0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_483,c_0_484]) ).

cnf(c_0_492,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_493,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e1) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_485,c_0_55]) ).

cnf(c_0_494,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_91,c_0_486]) ).

cnf(c_0_495,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,op(e3,e1)) != e2
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_55]) ).

cnf(c_0_496,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_325,c_0_488]) ).

cnf(c_0_497,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_489]),c_0_66]) ).

fof(c_0_498,plain,
    ( epred8_0
   => ( ( op(e0,e0) = e0
        & ( 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(e1,e1) = e1
        & ( 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 ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_499,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_452]) ).

cnf(c_0_500,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e2
    | epred8_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_452]),c_0_73]) ).

cnf(c_0_501,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_502,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e0
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_494,c_0_55]) ).

cnf(c_0_503,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_495,c_0_493]) ).

cnf(c_0_504,plain,
    op(e0,e2) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_505,plain,
    ( op(e2,e2) = e0
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_506,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_443,c_0_381]) ).

fof(c_0_507,plain,
    ( ( op(e1,e1) = e1
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e1,e1) = e1
      | op(e0,e0) != e0
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0
      | op(e0,e0) != e0
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1
      | op(e0,e0) != e0
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2
      | op(e0,e0) != e0
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3
      | op(e0,e0) != e0
      | op(e0,e0) = e0
      | ~ epred8_0 )
    & ( op(e1,e1) = e1
      | op(e1,e1) != e0
      | op(e1,e0) = e1
      | ~ epred8_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0
      | op(e1,e1) != e0
      | op(e1,e0) = e1
      | ~ epred8_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1
      | op(e1,e1) != e0
      | op(e1,e0) = e1
      | ~ epred8_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2
      | op(e1,e1) != e0
      | op(e1,e0) = e1
      | ~ epred8_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3
      | op(e1,e1) != e0
      | op(e1,e0) = e1
      | ~ epred8_0 )
    & ( op(e1,e1) = e1
      | op(e2,e2) != e0
      | op(e2,e0) = e2
      | ~ epred8_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0
      | op(e2,e2) != e0
      | op(e2,e0) = e2
      | ~ epred8_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1
      | op(e2,e2) != e0
      | op(e2,e0) = e2
      | ~ epred8_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2
      | op(e2,e2) != e0
      | op(e2,e0) = e2
      | ~ epred8_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3
      | op(e2,e2) != e0
      | op(e2,e0) = e2
      | ~ epred8_0 )
    & ( op(e1,e1) = e1
      | op(e3,e3) != e0
      | op(e3,e0) = e3
      | ~ epred8_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0
      | op(e3,e3) != e0
      | op(e3,e0) = e3
      | ~ epred8_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1
      | op(e3,e3) != e0
      | op(e3,e0) = e3
      | ~ epred8_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2
      | op(e3,e3) != e0
      | op(e3,e0) = e3
      | ~ epred8_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3
      | op(e3,e3) != e0
      | op(e3,e0) = e3
      | ~ epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_498])])]) ).

cnf(c_0_508,plain,
    ( op(e0,e2) = e2
    | epred8_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_499]),c_0_81]),c_0_74]) ).

cnf(c_0_509,plain,
    ( op(e2,e2) = e2
    | epred8_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_500]),c_0_74]) ).

cnf(c_0_510,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_511,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_503]) ).

cnf(c_0_512,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

fof(c_0_513,plain,
    ( e0 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2)))
    | e1 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])]) ).

cnf(c_0_514,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e2,e2) = e0
    | epred7_0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_515,plain,
    ( op(e2,e2) = e0
    | op(e0,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_506,c_0_497]) ).

cnf(c_0_516,plain,
    ( op(e3,e1) = e3
    | op(e0,e0) = e0
    | op(e3,e3) != e1
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_517,plain,
    epred8_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_508]),c_0_509]) ).

cnf(c_0_518,plain,
    ( op(e3,e1) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) = e3
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_519,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_124,c_0_512]) ).

cnf(c_0_520,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_521,plain,
    ( e0 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2)))
    | e1 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_522,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_523,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_524,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e2,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_525,plain,
    ( op(e3,e1) = e3
    | op(e0,e0) = e0
    | op(e3,e3) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_516,c_0_517])]) ).

cnf(c_0_526,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e1) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_518,c_0_44]) ).

cnf(c_0_527,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_528,plain,
    ( op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_519,c_0_497]) ).

cnf(c_0_529,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_152,c_0_520]) ).

cnf(c_0_530,plain,
    ( op(e2,e2) = e0
    | epred7_0
    | op(e2,op(e2,e1)) != e3
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_521,c_0_497]) ).

cnf(c_0_531,plain,
    ( op(e3,e3) = e3
    | epred7_0
    | op(e0,e0) != e2
    | op(e0,e2) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_532,plain,
    ( epred7_0
    | op(e3,e3) != e3
    | op(e0,e0) != e2
    | op(e0,e2) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_533,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_197,c_0_522]) ).

cnf(c_0_534,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_44]) ).

cnf(c_0_535,plain,
    op(e0,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_536,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e0,e0) = e0
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_525,c_0_55]) ).

cnf(c_0_537,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | epred7_0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_526]) ).

cnf(c_0_538,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e2) = e0
    | epred7_0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_527,c_0_528]) ).

cnf(c_0_539,plain,
    ( op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e2,e0) = e2
    | op(e2,e0) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_529,c_0_497]) ).

cnf(c_0_540,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e2) = e0
    | epred7_0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_530,c_0_528]) ).

cnf(c_0_541,plain,
    ( epred7_0
    | op(e0,e0) != e2
    | op(e0,e2) != e0 ),
    inference(csr,[status(thm)],[c_0_531,c_0_532]) ).

cnf(c_0_542,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e2,e2) = e0
    | op(e0,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_533,c_0_534]) ).

cnf(c_0_543,plain,
    ( op(e3,e1) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_535,c_0_536]) ).

cnf(c_0_544,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) = e3
    | op(e3,e3) = e0
    | op(e3,e0) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_526]),c_0_59]),c_0_537]) ).

cnf(c_0_545,plain,
    ( op(e2,e2) = e0
    | epred7_0
    | op(e2,op(e2,e1)) != e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_146,c_0_497]) ).

cnf(c_0_546,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_539]),c_0_540]) ).

cnf(c_0_547,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_548,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e2,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_542]),c_0_515]) ).

cnf(c_0_549,plain,
    ( op(e2,e1) = e2
    | op(e3,e0) = e3
    | op(e2,e2) != e1
    | op(e3,e3) != e0
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_550,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e1) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_543,c_0_544]) ).

cnf(c_0_551,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_552,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e2,e2) = e0
    | epred7_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_545,c_0_546]) ).

cnf(c_0_553,plain,
    ( op(e0,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_44]) ).

cnf(c_0_554,plain,
    ( op(e3,e0) = e3
    | op(e2,e1) = e2
    | op(e2,e2) != e1
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_517])]) ).

cnf(c_0_555,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_556,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) = e3
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_550]),c_0_66]) ).

cnf(c_0_557,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_551,c_0_58]) ).

cnf(c_0_558,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_546]),c_0_63]),c_0_552]) ).

cnf(c_0_559,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e2,e2) = e0
    | epred7_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_547,c_0_553]) ).

cnf(c_0_560,plain,
    ( op(e2,e2) = e0
    | op(e2,e1) = e2
    | op(e3,e0) = e3
    | epred7_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_554,c_0_497]) ).

cnf(c_0_561,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_44]) ).

cnf(c_0_562,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e0
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_563,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) = e3
    | epred7_0
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_492,c_0_526]) ).

cnf(c_0_564,plain,
    ( op(e2,e0) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_558]),c_0_559]) ).

cnf(c_0_565,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e0) = e3
    | op(e2,e1) = e2
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_561]) ).

cnf(c_0_566,plain,
    op(e1,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_567,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_562,c_0_517])]) ).

cnf(c_0_568,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_66]) ).

cnf(c_0_569,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_558]),c_0_59]) ).

cnf(c_0_570,plain,
    ( op(e3,e3) = e3
    | epred7_0
    | op(e3,e3) != e2
    | op(e3,e2) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_571,plain,
    ( epred7_0
    | op(e3,e3) != e3
    | op(e3,e3) != e2
    | op(e3,e2) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_572,plain,
    ( op(e2,e2) = e0
    | op(e2,e1) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_565]),c_0_44]) ).

cnf(c_0_573,plain,
    op(e0,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_574,plain,
    ( op(e0,e0) = e0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_566,c_0_567]) ).

cnf(c_0_575,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_568]),c_0_569]) ).

cnf(c_0_576,plain,
    ( epred7_0
    | op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    inference(csr,[status(thm)],[c_0_570,c_0_571]) ).

cnf(c_0_577,plain,
    ( op(e3,e3) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_572]),c_0_44]) ).

cnf(c_0_578,plain,
    ( op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e1,e1) != e0
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_579,plain,
    ( op(e2,e0) != e0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_573,c_0_574]) ).

cnf(c_0_580,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_575]),c_0_44]) ).

cnf(c_0_581,plain,
    ( op(e2,e2) = e0
    | op(e2,e1) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_577]),c_0_44]) ).

cnf(c_0_582,plain,
    ( op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_578,c_0_517])]) ).

cnf(c_0_583,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_579,c_0_72]) ).

cnf(c_0_584,plain,
    ( op(e2,e0) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_580]),c_0_44]) ).

cnf(c_0_585,plain,
    ( op(e2,e2) = e0
    | epred7_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_527,c_0_581]) ).

cnf(c_0_586,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_205,c_0_278]) ).

cnf(c_0_587,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_194,c_0_278]) ).

cnf(c_0_588,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_302]),c_0_73]) ).

cnf(c_0_589,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_590,plain,
    ( op(e2,e2) = e0
    | op(e3,e0) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_557,c_0_581]) ).

cnf(c_0_591,plain,
    ( op(e2,e2) = e0
    | op(e3,e0) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_584]),c_0_585]) ).

cnf(c_0_592,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_317,c_0_586]) ).

cnf(c_0_593,plain,
    ( op(e0,e0) = e0
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_567]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_594,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_197,c_0_588]) ).

cnf(c_0_595,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_204,c_0_589]) ).

cnf(c_0_596,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_192,c_0_589]) ).

cnf(c_0_597,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_591]),c_0_81]) ).

cnf(c_0_598,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_592,c_0_593]) ).

cnf(c_0_599,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e3) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_278]),c_0_73]) ).

cnf(c_0_600,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_317,c_0_595]) ).

cnf(c_0_601,plain,
    ( op(e0,e0) = e0
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_567]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_602,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_195,c_0_588]) ).

cnf(c_0_603,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e3,e2) = e1
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_597]),c_0_74]),c_0_81]),c_0_73]) ).

fof(c_0_604,plain,
    ( e0 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])]) ).

cnf(c_0_605,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_587]) ).

cnf(c_0_606,plain,
    ( op(e1,e3) = e0
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_59]),c_0_63]) ).

cnf(c_0_607,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_600,c_0_601]) ).

cnf(c_0_608,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e1,e2) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_589]),c_0_73]) ).

cnf(c_0_609,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_603]),c_0_44]) ).

cnf(c_0_610,plain,
    ( e0 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_611,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_605,c_0_606]) ).

cnf(c_0_612,plain,
    ( op(e1,e2) = e0
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_608]),c_0_59]),c_0_63]) ).

cnf(c_0_613,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e2
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_609]),c_0_74]) ).

cnf(c_0_614,plain,
    ( op(e1,e1) = e2
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,op(e1,e3)) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_611]),c_0_606]) ).

cnf(c_0_615,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_325,c_0_612]) ).

cnf(c_0_616,plain,
    ( op(e2,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_613]),c_0_66]) ).

cnf(c_0_617,plain,
    ( op(e3,e3) = e3
    | epred7_0
    | op(e1,e1) != e2
    | op(e1,e2) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_618,plain,
    ( epred7_0
    | op(e3,e3) != e3
    | op(e1,e1) != e2
    | op(e1,e2) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_619,plain,
    ( op(e1,e1) = e2
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_202,c_0_611]) ).

cnf(c_0_620,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e1) = e2
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_614,c_0_606]) ).

cnf(c_0_621,plain,
    ( op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_615,c_0_616]) ).

cnf(c_0_622,plain,
    ( epred7_0
    | op(e1,e1) != e2
    | op(e1,e2) != e1 ),
    inference(csr,[status(thm)],[c_0_617,c_0_618]) ).

cnf(c_0_623,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_598]),c_0_620]) ).

cnf(c_0_624,plain,
    ( op(e1,e1) = e1
    | op(e2,e0) = e2
    | op(e2,e2) != e0
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_625,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | epred7_0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_371,c_0_621]) ).

cnf(c_0_626,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_278]) ).

cnf(c_0_627,plain,
    ( op(e2,e0) = e2
    | op(e1,e1) = e1
    | op(e2,e2) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_624,c_0_517])]) ).

cnf(c_0_628,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_625,c_0_626]) ).

cnf(c_0_629,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_194,c_0_488]) ).

cnf(c_0_630,plain,
    ( op(e1,e1) = e1
    | op(e2,e0) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_627,c_0_616]) ).

cnf(c_0_631,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_628]),c_0_74]),c_0_81]),c_0_73]) ).

cnf(c_0_632,plain,
    ( op(e2,e0) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_633,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_169,c_0_520]) ).

cnf(c_0_634,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_631]),c_0_74]) ).

cnf(c_0_635,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e2,e0) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_632]),c_0_616]) ).

cnf(c_0_636,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_389]),c_0_386]) ).

cnf(c_0_637,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e2
    | op(e2,e0) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_634]),c_0_529]) ).

cnf(c_0_638,plain,
    ( op(e2,e0) = e2
    | op(e1,e2) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_635]),c_0_44]) ).

cnf(c_0_639,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e2) = e3
    | op(e0,e2) = e2
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_621]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_640,plain,
    ( epred7_0
    | op(e2,op(e2,e0)) != e1
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_160,c_0_616]) ).

cnf(c_0_641,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_637]),c_0_616]) ).

cnf(c_0_642,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e0) = e2
    | epred7_0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_622,c_0_305]) ).

cnf(c_0_643,plain,
    ( op(e2,e0) = e2
    | epred7_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_504,c_0_638]) ).

cnf(c_0_644,plain,
    ( op(e0,e2) = e2
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_639]),c_0_44]) ).

cnf(c_0_645,plain,
    ( op(e2,e0) = e2
    | epred7_0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_640,c_0_641]) ).

cnf(c_0_646,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_192,c_0_201]) ).

cnf(c_0_647,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_648,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e0) = e2
    | op(e1,e3) = e2
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_488]),c_0_81]) ).

cnf(c_0_649,plain,
    ( op(e3,e3) = e1
    | op(e2,e0) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_644]),c_0_645]) ).

cnf(c_0_650,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e0) = e3
    | op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_336]),c_0_63]) ).

cnf(c_0_651,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0
    | op(e1,op(e1,e0)) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_229,c_0_302]) ).

cnf(c_0_652,plain,
    ( op(e0,e0) = e0
    | op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_567]),c_0_74]) ).

cnf(c_0_653,plain,
    ( op(e0,e0) = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_567]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_654,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred7_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_647,c_0_648]) ).

cnf(c_0_655,plain,
    ( op(e2,e0) = e2
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_649]),c_0_74]),c_0_81]),c_0_73]) ).

cnf(c_0_656,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_588]),c_0_74]),c_0_73]) ).

cnf(c_0_657,plain,
    ( op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e0,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_652]),c_0_63]),c_0_653]) ).

cnf(c_0_658,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e3) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_654,c_0_655]) ).

cnf(c_0_659,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e0
    | op(e1,e2) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_656]),c_0_657]) ).

cnf(c_0_660,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_659]),c_0_59]) ).

cnf(c_0_661,plain,
    op(e2,e1) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_662,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_660]),c_0_66]) ).

cnf(c_0_663,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_661,c_0_512]) ).

cnf(c_0_664,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_662]),c_0_616]) ).

cnf(c_0_665,plain,
    op(e0,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_666,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_634]),c_0_519]) ).

cnf(c_0_667,plain,
    ( op(e1,e2) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_664]),c_0_44]) ).

cnf(c_0_668,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_665,c_0_368]) ).

cnf(c_0_669,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_666]),c_0_616]) ).

cnf(c_0_670,plain,
    ( epred7_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_504,c_0_667]) ).

cnf(c_0_671,plain,
    ( op(e2,e1) = e2
    | op(e0,e0) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_668,c_0_669]) ).

cnf(c_0_672,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e0,e3) = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_188,c_0_340]) ).

cnf(c_0_673,plain,
    ( epred7_0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_169,c_0_655]) ).

cnf(c_0_674,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_670,c_0_644]) ).

cnf(c_0_675,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e2,e1) = e2
    | epred7_0
    | op(e0,op(e0,e3)) != e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_450,c_0_671]) ).

cnf(c_0_676,plain,
    ( op(e0,e3) = e2
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_667]),c_0_673]) ).

cnf(c_0_677,plain,
    ( op(e2,e3) = e1
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_674]),c_0_74]),c_0_81]),c_0_73]) ).

cnf(c_0_678,plain,
    ( op(e3,e3) = e2
    | op(e2,e1) = e2
    | op(e0,e2) = e3
    | epred7_0
    | op(e0,e2) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_676]),c_0_66]) ).

cnf(c_0_679,plain,
    ( epred7_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_117,c_0_677]) ).

cnf(c_0_680,plain,
    ( op(e3,e2) = e1
    | op(e2,e1) = e2
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_626]),c_0_74]),c_0_679]) ).

cnf(c_0_681,plain,
    ( op(e2,e1) = e2
    | op(e3,e2) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_680]),c_0_44]) ).

cnf(c_0_682,plain,
    ( op(e2,e1) = e2
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_681]),c_0_74]) ).

cnf(c_0_683,plain,
    ( epred6_0
    | op(e3,e3) != e1
    | op(e3,e1) != e3
    | op(e0,e0) != e0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_684,plain,
    ( op(e3,e1) = e3
    | epred6_0
    | op(e0,e0) != e0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_685,plain,
    epred7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_682]),c_0_655]) ).

cnf(c_0_686,plain,
    ( epred6_0
    | op(e0,e0) != e0
    | op(e3,e3) != e1
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[c_0_683,c_0_684]) ).

cnf(c_0_687,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_685])]) ).

cnf(c_0_688,plain,
    ( op(e3,e1) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | epred6_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_536]),c_0_55]),c_0_64]) ).

cnf(c_0_689,plain,
    ( op(e3,e0) = e3
    | epred6_0
    | op(e3,e3) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_685])]) ).

cnf(c_0_690,plain,
    ( op(e3,e0) = e3
    | epred6_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_687]) ).

cnf(c_0_691,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e1) = e3
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_688,c_0_685])]) ).

cnf(c_0_692,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_55]),c_0_690]) ).

cnf(c_0_693,plain,
    ( op(e3,e0) = e3
    | epred6_0
    | op(e1,e1) != e1
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_694,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | epred6_0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_492,c_0_691]) ).

cnf(c_0_695,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred6_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_91,c_0_692]) ).

cnf(c_0_696,plain,
    ( op(e3,e0) = e3
    | epred6_0
    | op(e1,e1) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_693,c_0_685])]) ).

cnf(c_0_697,plain,
    ( op(e3,e1) = e3
    | epred6_0
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_685])]) ).

cnf(c_0_698,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_692]),c_0_695]) ).

cnf(c_0_699,plain,
    ( op(e0,e0) = e0
    | op(e3,e0) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_696,c_0_567]) ).

cnf(c_0_700,plain,
    ( op(e1,e1) = e1
    | op(e3,e0) = e3
    | op(e3,e3) != e0
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_701,plain,
    ( op(e3,e3) = e2
    | op(e3,e1) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_697,c_0_698]) ).

cnf(c_0_702,plain,
    ( op(e3,e0) = e3
    | epred6_0
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_535,c_0_699]) ).

cnf(c_0_703,plain,
    ( op(e3,e0) = e3
    | op(e1,e1) = e1
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_700,c_0_517])]) ).

cnf(c_0_704,plain,
    ( op(e3,e3) = e2
    | epred6_0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_492,c_0_701]) ).

cnf(c_0_705,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_687]),c_0_63]),c_0_702]) ).

fof(c_0_706,plain,
    ( e1 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])]) ).

cnf(c_0_707,plain,
    ( op(e3,e3) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_698]),c_0_696]),c_0_704]) ).

cnf(c_0_708,plain,
    ( op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_705]),c_0_74]),c_0_63]) ).

cnf(c_0_709,plain,
    ( e1 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_710,plain,
    ( op(e3,e2) = e1
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_708]),c_0_81]) ).

cnf(c_0_711,plain,
    ( epred6_0
    | op(e3,op(e3,e2)) != e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_709,c_0_707]) ).

cnf(c_0_712,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_710]),c_0_59]) ).

cnf(c_0_713,plain,
    ( op(e3,e2) = e0
    | epred6_0
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_711,c_0_712]) ).

fof(c_0_714,plain,
    ( e0 != op(e3,op(e3,e3))
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])]) ).

cnf(c_0_715,plain,
    ( op(e3,e3) = e0
    | op(e3,e0) = e0
    | op(e3,e2) = e0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_713,c_0_57]) ).

cnf(c_0_716,plain,
    ( e0 != op(e3,op(e3,e3))
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_714]) ).

cnf(c_0_717,plain,
    ( op(e3,e2) = e0
    | op(e3,e3) = e0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_702,c_0_715]),c_0_63]) ).

cnf(c_0_718,plain,
    ( op(e3,e1) = e3
    | epred6_0
    | op(e0,e0) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_684,c_0_685])]) ).

cnf(c_0_719,plain,
    ( epred6_0
    | op(e3,op(e3,e2)) != e1
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_716,c_0_707]) ).

cnf(c_0_720,plain,
    ( op(e3,e2) = e0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_717]),c_0_59]) ).

cnf(c_0_721,plain,
    ( op(e3,e1) = e3
    | epred6_0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_718,c_0_574]) ).

cnf(c_0_722,plain,
    ( op(e2,e1) = e2
    | op(e0,e0) = e0
    | op(e2,e2) != e1
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_723,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_519,c_0_130]) ).

cnf(c_0_724,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,op(e2,e1)) != e3
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_521,c_0_130]) ).

cnf(c_0_725,plain,
    ( epred6_0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_719,c_0_720]) ).

cnf(c_0_726,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_72]),c_0_74]) ).

cnf(c_0_727,plain,
    ( op(e2,e1) = e2
    | op(e0,e0) = e0
    | op(e2,e2) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_722,c_0_517])]) ).

cnf(c_0_728,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_527,c_0_723]) ).

cnf(c_0_729,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_529,c_0_130]) ).

cnf(c_0_730,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_724,c_0_723]) ).

cnf(c_0_731,plain,
    ( op(e3,e2) = e1
    | op(e3,e3) = e1
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_725,c_0_726]) ).

cnf(c_0_732,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e0,e0) = e0
    | op(e2,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_727,c_0_130]) ).

cnf(c_0_733,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_729]),c_0_730]) ).

cnf(c_0_734,plain,
    ( op(e3,e2) = e1
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_731]),c_0_81]) ).

cnf(c_0_735,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_573,c_0_732]) ).

cnf(c_0_736,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e0) = e2
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_527,c_0_733]) ).

cnf(c_0_737,plain,
    ( op(e2,e2) = e2
    | epred5_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_738,plain,
    ( epred5_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | op(e2,e2) != e2
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_739,plain,
    epred6_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_734]),c_0_73]) ).

cnf(c_0_740,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_729]),c_0_736]) ).

cnf(c_0_741,plain,
    ( epred5_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_737,c_0_738]) ).

cnf(c_0_742,plain,
    ( op(e2,e3) = e2
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_739])]) ).

cnf(c_0_743,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e0) = e2
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_661,c_0_740]) ).

cnf(c_0_744,plain,
    ( epred5_0
    | op(e2,e2) != e3 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_741,c_0_739])]),c_0_742]) ).

cnf(c_0_745,plain,
    ( epred5_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_117,c_0_742]) ).

cnf(c_0_746,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_742]),c_0_744]),c_0_745]) ).

fof(c_0_747,plain,
    ( e1 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax17])]) ).

cnf(c_0_748,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_216,c_0_185]) ).

cnf(c_0_749,plain,
    ( op(e2,e2) = e0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_746]),c_0_742]) ).

cnf(c_0_750,plain,
    ( e1 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_747]) ).

cnf(c_0_751,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_748,c_0_126]) ).

cnf(c_0_752,plain,
    ( op(e1,e1) = e1
    | op(e2,e0) = e2
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_627,c_0_749]) ).

cnf(c_0_753,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_748,c_0_512]) ).

cnf(c_0_754,plain,
    ( epred5_0
    | op(e2,op(e2,e0)) != e3
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_750,c_0_749]) ).

cnf(c_0_755,plain,
    ( op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_752]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_756,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_752]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_757,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e2
    | epred5_0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_754,c_0_755]) ).

cnf(c_0_758,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e0) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_756]),c_0_749]) ).

cnf(c_0_759,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_757,c_0_758]) ).

cnf(c_0_760,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_759]),c_0_742]) ).

cnf(c_0_761,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_760]),c_0_742]) ).

cnf(c_0_762,plain,
    ( op(e2,e2) = e1
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_761]),c_0_81]) ).

cnf(c_0_763,plain,
    ( epred4_0
    | op(e2,e2) != e1
    | op(e2,e1) != e2
    | op(e0,e0) != e0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_764,plain,
    ( op(e2,e1) = e2
    | epred4_0
    | op(e0,e0) != e0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_765,plain,
    epred5_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_762]),c_0_73]) ).

cnf(c_0_766,plain,
    ( epred4_0
    | op(e0,e0) != e0
    | op(e2,e2) != e1
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_763,c_0_764]) ).

cnf(c_0_767,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_765])]) ).

cnf(c_0_768,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred4_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_732]),c_0_130]),c_0_153]) ).

cnf(c_0_769,plain,
    ( op(e2,e0) = e2
    | epred4_0
    | op(e2,e2) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_765])]) ).

cnf(c_0_770,plain,
    ( op(e2,e0) = e2
    | epred4_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_124,c_0_767]) ).

cnf(c_0_771,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e1) = e2
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_768,c_0_765])]) ).

cnf(c_0_772,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e2,e0) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_130]),c_0_770]) ).

cnf(c_0_773,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred4_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_527,c_0_771]) ).

cnf(c_0_774,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_152,c_0_772]) ).

cnf(c_0_775,plain,
    ( op(e2,e0) = e2
    | epred4_0
    | op(e1,e1) != e1
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_776,plain,
    ( op(e2,e1) = e2
    | epred4_0
    | op(e2,e2) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_765])]) ).

cnf(c_0_777,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_773,c_0_772]),c_0_774]) ).

cnf(c_0_778,plain,
    ( op(e2,e0) = e2
    | epred4_0
    | op(e1,e1) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_775,c_0_765])]) ).

cnf(c_0_779,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_776,c_0_777]) ).

cnf(c_0_780,plain,
    ( op(e0,e0) = e0
    | op(e2,e0) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_778,c_0_567]) ).

fof(c_0_781,plain,
    ( e1 != op(e2,op(e2,e2))
    | e0 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).

cnf(c_0_782,plain,
    ( op(e2,e2) = e3
    | epred4_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_527,c_0_779]) ).

cnf(c_0_783,plain,
    ( op(e2,e0) = e2
    | epred4_0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_573,c_0_780]) ).

cnf(c_0_784,plain,
    ( e1 != op(e2,op(e2,e2))
    | e0 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_781]) ).

cnf(c_0_785,plain,
    ( op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_777]),c_0_778]),c_0_782]) ).

cnf(c_0_786,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_767]),c_0_59]),c_0_783]) ).

cnf(c_0_787,plain,
    ( epred4_0
    | op(e2,op(e2,e3)) != e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_784,c_0_785]) ).

cnf(c_0_788,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_786]),c_0_81]),c_0_59]) ).

fof(c_0_789,plain,
    ( e0 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).

cnf(c_0_790,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | epred4_0
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_787,c_0_788]) ).

cnf(c_0_791,plain,
    ( e0 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_789]) ).

cnf(c_0_792,plain,
    ( op(e2,e0) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_790,c_0_129]) ).

cnf(c_0_793,plain,
    ( op(e2,e1) = e2
    | epred4_0
    | op(e0,e0) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_764,c_0_765])]) ).

cnf(c_0_794,plain,
    ( op(e0,e0) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_216,c_0_567]) ).

cnf(c_0_795,plain,
    ( epred4_0
    | op(e2,op(e2,e3)) != e1
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_791,c_0_785]) ).

cnf(c_0_796,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_792]),c_0_59]) ).

cnf(c_0_797,plain,
    ( op(e2,e1) = e2
    | epred4_0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_793,c_0_794]) ).

cnf(c_0_798,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred4_0
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_795,c_0_796]) ).

cnf(c_0_799,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_126]),c_0_81]) ).

cnf(c_0_800,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_798,c_0_799]) ).

cnf(c_0_801,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_800]),c_0_73]) ).

cnf(c_0_802,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_204,c_0_201]) ).

cnf(c_0_803,plain,
    ( op(e2,e2) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_801]),c_0_74]) ).

cnf(c_0_804,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_588]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_805,plain,
    epred4_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_803]),c_0_63]) ).

cnf(c_0_806,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e1,e2) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_804]),c_0_653]) ).

cnf(c_0_807,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_805])]) ).

cnf(c_0_808,plain,
    ( op(e1,e3) = e1
    | epred3_0
    | op(e1,e1) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_805])]) ).

cnf(c_0_809,plain,
    ( op(e1,e2) = e1
    | op(e1,e2) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_807]),c_0_74]),c_0_81]),c_0_73]) ).

cnf(c_0_810,plain,
    ( op(e0,e0) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_187,c_0_567]) ).

cnf(c_0_811,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e3) = e1
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_808,c_0_623]) ).

cnf(c_0_812,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_807]),c_0_194]) ).

cnf(c_0_813,plain,
    ( op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e0) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_809]),c_0_73]) ).

cnf(c_0_814,plain,
    ( op(e0,e0) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_807]),c_0_73]),c_0_81]),c_0_74]),c_0_810]) ).

cnf(c_0_815,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e3,e3) != e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_805])]) ).

cnf(c_0_816,plain,
    ( op(e1,e2) = e0
    | epred3_0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_504,c_0_809]) ).

cnf(c_0_817,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_811]),c_0_73]) ).

cnf(c_0_818,plain,
    ( op(e1,e2) = e0
    | epred3_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_325,c_0_809]) ).

cnf(c_0_819,plain,
    ( op(e1,e2) = e0
    | epred3_0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_523,c_0_809]) ).

cnf(c_0_820,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred3_0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_812]) ).

cnf(c_0_821,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_813]),c_0_814]) ).

cnf(c_0_822,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred3_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_187,c_0_812]) ).

cnf(c_0_823,plain,
    ( op(e1,e2) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_807]),c_0_73]),c_0_81]),c_0_74]),c_0_815]) ).

cnf(c_0_824,plain,
    ( op(e1,e2) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_817]),c_0_818]),c_0_819]) ).

cnf(c_0_825,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e1,e1) != e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_805])]) ).

cnf(c_0_826,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_821]),c_0_822]) ).

cnf(c_0_827,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_824]),c_0_73]) ).

cnf(c_0_828,plain,
    ( op(e1,e1) = e2
    | op(e1,e2) = e1
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_825,c_0_826]) ).

cnf(c_0_829,plain,
    ( epred3_0
    | op(e1,e1) != e3
    | op(e1,e3) != e1
    | op(e3,e3) != e2
    | op(e3,e2) != e3
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_830,plain,
    ( op(e1,e3) = e1
    | epred3_0
    | op(e3,e3) != e2
    | op(e3,e2) != e3
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_831,plain,
    ( op(e3,e3) = e2
    | op(e1,e1) = e1
    | op(e3,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_827]) ).

cnf(c_0_832,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_187,c_0_828]) ).

cnf(c_0_833,plain,
    ( epred3_0
    | op(e1,e1) != e3
    | op(e3,e2) != e3
    | op(e3,e3) != e2
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_829,c_0_830]) ).

cnf(c_0_834,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_826,c_0_831]),c_0_81]),c_0_74]) ).

cnf(c_0_835,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e0,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_832,c_0_459]),c_0_81]) ).

cnf(c_0_836,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_824]),c_0_63]) ).

cnf(c_0_837,plain,
    ( epred3_0
    | op(e1,e1) != e3
    | op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_833,c_0_805])]) ).

cnf(c_0_838,plain,
    ( op(e3,e3) = e2
    | epred3_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_555,c_0_834]) ).

cnf(c_0_839,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e2,e2) = e2
    | op(e3,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_835,c_0_836]),c_0_66]) ).

cnf(c_0_840,plain,
    ( epred3_0
    | op(e1,e1) != e3
    | op(e2,e2) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_805])]) ).

cnf(c_0_841,plain,
    ( op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_842,plain,
    ( op(e1,e1) = e2
    | epred3_0
    | op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_837,c_0_826]) ).

cnf(c_0_843,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_838,c_0_839]) ).

cnf(c_0_844,plain,
    ( op(e1,e1) = e2
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_840,c_0_826]) ).

cnf(c_0_845,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e0,e3) = e0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_841]) ).

cnf(c_0_846,plain,
    ( epred3_0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_814]) ).

cnf(c_0_847,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_848,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e3
    | op(e1,e1) = e2
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_842,c_0_839]),c_0_843]),c_0_844]) ).

cnf(c_0_849,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_845,c_0_824]),c_0_846]) ).

cnf(c_0_850,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_195,c_0_847]) ).

cnf(c_0_851,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_197,c_0_847]) ).

cnf(c_0_852,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e2
    | epred3_0
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_566,c_0_848]) ).

fof(c_0_853,plain,
    ( e0 != op(e1,op(e1,e1))
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10])]) ).

cnf(c_0_854,plain,
    ( op(e2,e3) = e0
    | op(e1,e1) = e1
    | op(e3,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_849]) ).

cnf(c_0_855,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_807]),c_0_851]) ).

cnf(c_0_856,plain,
    ( op(e3,e3) = e2
    | op(e3,e0) = e2
    | op(e3,e2) = e2
    | op(e2,e2) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_852,c_0_58]) ).

cnf(c_0_857,plain,
    ( e0 != op(e1,op(e1,e1))
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_858,plain,
    ( op(e3,e0) = e3
    | op(e2,e3) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_826,c_0_854]),c_0_81]),c_0_74]) ).

cnf(c_0_859,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_814,c_0_855]),c_0_73]) ).

cnf(c_0_860,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_835,c_0_817]),c_0_81]) ).

cnf(c_0_861,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_856]),c_0_66]) ).

cnf(c_0_862,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e1,op(e1,e2)) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_828]),c_0_809]) ).

cnf(c_0_863,plain,
    ( op(e2,e0) = e1
    | op(e2,e3) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_858,c_0_859]),c_0_74]) ).

cnf(c_0_864,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_817,c_0_836]),c_0_74]) ).

cnf(c_0_865,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_860,c_0_839]),c_0_74]),c_0_66]) ).

cnf(c_0_866,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e3) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_861]),c_0_59]) ).

cnf(c_0_867,plain,
    ( epred3_0
    | op(e1,e0) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_824]),c_0_73]) ).

cnf(c_0_868,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_869,plain,
    ( op(e2,e3) = e0
    | epred3_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_152,c_0_863]) ).

cnf(c_0_870,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e3
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_865]),c_0_66]),c_0_81]) ).

cnf(c_0_871,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e3
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_108,c_0_866]) ).

cnf(c_0_872,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_867,c_0_868]) ).

cnf(c_0_873,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_216,c_0_828]) ).

cnf(c_0_874,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_875,plain,
    ( op(e3,e3) = e2
    | epred3_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_827]) ).

cnf(c_0_876,plain,
    ( op(e2,e2) = e3
    | op(e2,e3) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_869,c_0_870]),c_0_871]) ).

cnf(c_0_877,plain,
    ( op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_814,c_0_872]),c_0_63]) ).

cnf(c_0_878,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e0) = e2
    | op(e1,e2) = e1
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_873,c_0_874]) ).

cnf(c_0_879,plain,
    ( op(e2,e2) = e3
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_875,c_0_876]) ).

cnf(c_0_880,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e3
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_877,c_0_859]),c_0_74]) ).

cnf(c_0_881,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_878]),c_0_73]) ).

cnf(c_0_882,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_883,plain,
    ( op(e2,e2) = e3
    | epred3_0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_150,c_0_879]) ).

cnf(c_0_884,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_881]),c_0_81]),c_0_66]) ).

cnf(c_0_885,plain,
    ( op(e1,e2) = e1
    | epred3_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_882,c_0_805])]) ).

cnf(c_0_886,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_883,c_0_884]) ).

cnf(c_0_887,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) = e1
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_886]),c_0_884]) ).

cnf(c_0_888,plain,
    ( op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_887]),c_0_73]) ).

cnf(c_0_889,plain,
    ( op(e1,e1) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_844,c_0_888]) ).

cnf(c_0_890,plain,
    ( epred3_0
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_566,c_0_889]) ).

cnf(c_0_891,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_890,c_0_58]) ).

cnf(c_0_892,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_891]),c_0_66]) ).

cnf(c_0_893,plain,
    ( epred3_0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_202,c_0_889]) ).

cnf(c_0_894,plain,
    ( op(e3,e2) = e2
    | op(e2,e3) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_892]),c_0_59]) ).

cnf(c_0_895,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_893,c_0_522]) ).

cnf(c_0_896,plain,
    ( op(e2,e3) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_894]),c_0_888]) ).

cnf(c_0_897,plain,
    ( op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_814,c_0_895]),c_0_59]) ).

cnf(c_0_898,plain,
    ( op(e3,e3) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_875,c_0_896]) ).

cnf(c_0_899,plain,
    ( op(e2,e0) = e2
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_897]),c_0_898]) ).

cnf(c_0_900,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e0
    | op(e0,e0) != e1
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_901,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_299,c_0_196]) ).

cnf(c_0_902,plain,
    epred3_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_899]),c_0_81]),c_0_66]) ).

cnf(c_0_903,plain,
    ( op(e1,e1) != e1
    | op(e0,e0) != e0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_904,plain,
    ( op(e0,e0) = e0
    | op(e1,e1) != e1
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_905,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_906,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) = e0
    | op(e0,e0) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_900,c_0_517])]) ).

cnf(c_0_907,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_901,c_0_567]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_908,plain,
    ( op(e1,e0) = e1
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_902])]) ).

cnf(c_0_909,plain,
    ( epred2_0
    | op(e0,e0) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_902])]) ).

cnf(c_0_910,plain,
    ( op(e1,e1) != e1
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_903,c_0_904]) ).

cnf(c_0_911,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_905,c_0_185]) ).

cnf(c_0_912,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_322]),c_0_73]) ).

cnf(c_0_913,plain,
    epred2_0,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_908]),c_0_73]),c_0_81]),c_0_74]),c_0_909]) ).

cnf(c_0_914,plain,
    ~ epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_567]),c_0_419]) ).

cnf(c_0_915,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_911,c_0_393]) ).

cnf(c_0_916,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_912]) ).

cnf(c_0_917,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_913])]),c_0_914]) ).

cnf(c_0_918,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_912]) ).

cnf(c_0_919,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_915,c_0_567]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_920,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_917]),c_0_918]) ).

cnf(c_0_921,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e0
    | op(e0,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_919]),c_0_73]) ).

cnf(c_0_922,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_920]) ).

cnf(c_0_923,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_920]) ).

cnf(c_0_924,plain,
    ( op(e0,e0) = e0
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_567]),c_0_74]) ).

cnf(c_0_925,plain,
    ( op(e0,e0) = e0
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_921]) ).

cnf(c_0_926,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_917]),c_0_923]) ).

cnf(c_0_927,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e0,e0) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_414,c_0_924]) ).

fof(c_0_928,plain,
    ( e1 != op(e0,op(e0,e0))
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])]) ).

cnf(c_0_929,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) != e3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_913])]),c_0_914]) ).

cnf(c_0_930,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_925,c_0_917]),c_0_73]) ).

cnf(c_0_931,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) = e1
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_919,c_0_926]),c_0_63]),c_0_74]) ).

cnf(c_0_932,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) != e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_913])]),c_0_914]) ).

cnf(c_0_933,plain,
    ( op(e0,e0) = e2
    | op(e3,e1) = e3
    | op(e2,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_927,c_0_926]),c_0_63]) ).

cnf(c_0_934,plain,
    ( e1 != op(e0,op(e0,e0))
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_928]) ).

cnf(c_0_935,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_929,c_0_926]) ).

cnf(c_0_936,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_930]),c_0_917]) ).

cnf(c_0_937,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_919,c_0_931]),c_0_59]),c_0_81]) ).

cnf(c_0_938,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_932,c_0_933]) ).

cnf(c_0_939,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_940,plain,
    ( op(e0,e2) = e0
    | op(e0,op(e0,e2)) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_934,c_0_935]),c_0_936]) ).

cnf(c_0_941,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_937,c_0_938]),c_0_73]) ).

cnf(c_0_942,plain,
    ( op(e0,e0) = e0
    | op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_939,c_0_567]),c_0_73]) ).

cnf(c_0_943,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e0,e1) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_940,c_0_941]),c_0_73]) ).

cnf(c_0_944,plain,
    ( op(e2,e1) = e0
    | op(e3,e1) = e0
    | op(e0,e0) = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_942]) ).

cnf(c_0_945,plain,
    ( op(e2,e1) = e0
    | op(e3,e1) = e0
    | op(e0,e0) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_942]) ).

cnf(c_0_946,plain,
    ( op(e0,e0) = e0
    | op(e3,e1) = e3
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_943,c_0_924]) ).

cnf(c_0_947,plain,
    ( op(e0,e0) = e0
    | op(e3,e1) = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_944,c_0_917]),c_0_945]) ).

cnf(c_0_948,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_946]),c_0_63]),c_0_59]) ).

cnf(c_0_949,plain,
    ( op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_947]),c_0_63]),c_0_59]) ).

cnf(c_0_950,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_299,c_0_847]) ).

cnf(c_0_951,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_732]) ).

cnf(c_0_952,plain,
    ( op(e0,e2) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_443,c_0_936]) ).

cnf(c_0_953,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_949]),c_0_63]) ).

cnf(c_0_954,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_955,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_950,c_0_567]),c_0_73]),c_0_81]),c_0_74]) ).

cnf(c_0_956,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_601]) ).

cnf(c_0_957,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_951,c_0_952]),c_0_130]) ).

cnf(c_0_958,plain,
    ( op(e2,e1) = e3
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_124,c_0_953]) ).

cnf(c_0_959,plain,
    ( op(e0,e2) = e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_954,c_0_917]) ).

cnf(c_0_960,plain,
    ( op(e0,e3) = e0
    | op(e2,e2) != e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_913])]),c_0_914]) ).

cnf(c_0_961,plain,
    ( op(e2,e1) = e3
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_661,c_0_953]) ).

cnf(c_0_962,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_955,c_0_926]),c_0_63]),c_0_74]) ).

cnf(c_0_963,plain,
    ( op(e0,e2) = e0
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_917]),c_0_73]) ).

cnf(c_0_964,plain,
    ( op(e2,e1) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_957,c_0_953]),c_0_59]),c_0_958]) ).

cnf(c_0_965,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,op(e2,e1)) != e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_146,c_0_130]) ).

cnf(c_0_966,plain,
    ( op(e2,e2) != e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_959]) ).

cnf(c_0_967,plain,
    ( op(e2,e3) != e0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_954,c_0_960]) ).

cnf(c_0_968,plain,
    ( op(e2,e2) != e3
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_124,c_0_961]) ).

cnf(c_0_969,plain,
    ( op(e0,e2) = e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_573,c_0_935]) ).

cnf(c_0_970,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_955,c_0_962]),c_0_59]),c_0_81]) ).

cnf(c_0_971,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_963]) ).

cnf(c_0_972,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_957,c_0_964]),c_0_66]) ).

cnf(c_0_973,plain,
    ( op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e2,e2) != e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_960]),c_0_73]) ).

cnf(c_0_974,plain,
    ( op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e0,e0) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_317,c_0_652]) ).

cnf(c_0_975,plain,
    op(e2,e3) != e0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_965,c_0_961]),c_0_966]),c_0_967]),c_0_968]) ).

cnf(c_0_976,plain,
    ( op(e2,e2) != e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_443,c_0_969]) ).

cnf(c_0_977,plain,
    ( op(e2,e0) = e1
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_91,c_0_970]) ).

cnf(c_0_978,plain,
    ( op(e2,e2) = e3
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_971,c_0_972]),c_0_973]) ).

cnf(c_0_979,plain,
    ( op(e0,e0) = e2
    | op(e1,e3) = e3
    | op(e1,e2) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_926]),c_0_63]) ).

cnf(c_0_980,plain,
    ( op(e3,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e3) = e0 ),
    inference(sr,[status(thm)],[c_0_841,c_0_975]) ).

cnf(c_0_981,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_958]),c_0_66]),c_0_976]) ).

cnf(c_0_982,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,op(e2,e0)) != e3
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_750,c_0_972]) ).

cnf(c_0_983,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e3
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_977,c_0_978]) ).

cnf(c_0_984,plain,
    ( op(e0,e3) = e0
    | op(e3,e3) = e0
    | op(e1,e2) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_979,c_0_980]),c_0_63]),c_0_932]) ).

cnf(c_0_985,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_981,c_0_972]),c_0_59]) ).

cnf(c_0_986,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_982,c_0_983]),c_0_964]) ).

cnf(c_0_987,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_988,plain,
    ( op(e3,e3) = e0
    | op(e0,e3) = e0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_325,c_0_984]) ).

cnf(c_0_989,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_985,c_0_986]),c_0_81]) ).

cnf(c_0_990,plain,
    ( op(e0,e0) = e0
    | op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_987,c_0_567]),c_0_81]) ).

cnf(c_0_991,plain,
    ( op(e0,e3) = e0
    | op(e3,e3) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_988,c_0_989]),c_0_960]) ).

cnf(c_0_992,plain,
    ( op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e0,e0) = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_414,c_0_990]) ).

cnf(c_0_993,plain,
    ( op(e3,e3) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_991]) ).

cnf(c_0_994,plain,
    ( op(e0,e2) = e0
    | op(e3,e1) = e2
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_992,c_0_935]),c_0_59]) ).

cnf(c_0_995,plain,
    ( op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_993,c_0_994]) ).

cnf(c_0_996,plain,
    ( op(e2,e1) = e0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_51,c_0_949]) ).

cnf(c_0_997,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_949,c_0_995]),c_0_59]),c_0_996]) ).

cnf(c_0_998,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_527,c_0_997]) ).

cnf(c_0_999,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_124,c_0_997]) ).

cnf(c_0_1000,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_367]),c_0_81]) ).

cnf(c_0_1001,plain,
    ( op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[c_0_129,c_0_975]) ).

cnf(c_0_1002,plain,
    op(e2,e0) != e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_998]),c_0_59]),c_0_66]) ).

cnf(c_0_1003,plain,
    op(e2,e2) != e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_999]),c_0_59]),c_0_66]) ).

cnf(c_0_1004,plain,
    ( epred1_0
    | op(e0,e0) != e3
    | op(e0,e3) != e0
    | op(e2,e2) != e2
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_1005,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,op(e0,e1)) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_1000]),c_0_367]) ).

cnf(c_0_1006,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_601]) ).

cnf(c_0_1007,plain,
    ( op(e0,e2) = e1
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_954,c_0_937]) ).

cnf(c_0_1008,plain,
    op(e2,e1) = e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1001,c_0_1002]),c_0_1003]) ).

cnf(c_0_1009,plain,
    ( op(e0,e2) = e1
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_401,c_0_937]) ).

cnf(c_0_1010,plain,
    ( op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_912,c_0_990]),c_0_59]),c_0_992]) ).

cnf(c_0_1011,plain,
    ( epred1_0
    | op(e0,e0) != e3
    | op(e2,e2) != e2
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[c_0_1004,c_0_405]) ).

cnf(c_0_1012,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_1005,c_0_367]) ).

cnf(c_0_1013,plain,
    ( op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_1006,c_0_963]) ).

cnf(c_0_1014,plain,
    ( op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e2,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1007,c_0_994]),c_0_73]) ).

cnf(c_0_1015,plain,
    op(e3,e1) = e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_948,c_0_1008]),c_0_63]) ).

cnf(c_0_1016,plain,
    ( op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e3,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_994]),c_0_73]) ).

cnf(c_0_1017,plain,
    ( op(e0,e0) = e3
    | op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_1010]) ).

cnf(c_0_1018,plain,
    ( op(e0,e0) != e3
    | op(e2,e2) != e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1011,c_0_913])]),c_0_914]) ).

cnf(c_0_1019,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) = e3
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1000,c_0_377]),c_0_66]),c_0_74]),c_0_1012]) ).

cnf(c_0_1020,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e2,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1013,c_0_991]),c_0_73]) ).

cnf(c_0_1021,plain,
    op(e2,e3) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1014,c_0_1008]),c_0_59]),c_0_1015]),c_0_66]) ).

cnf(c_0_1022,plain,
    op(e3,e3) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1016,c_0_1008]),c_0_59]),c_0_1015]),c_0_66]) ).

cnf(c_0_1023,plain,
    ( op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e2,e2) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1017,c_0_960]),c_0_1018]) ).

cnf(c_0_1024,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_1019]),c_0_66]),c_0_81]) ).

cnf(c_0_1025,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_349,c_0_926]) ).

cnf(c_0_1026,plain,
    ( op(e0,e2) = e0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_401,c_0_917]) ).

cnf(c_0_1027,plain,
    op(e3,e3) = e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1020,c_0_1021]),c_0_1022]) ).

cnf(c_0_1028,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_593]) ).

cnf(c_0_1029,plain,
    op(e2,e2) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1023,c_0_1008]),c_0_59]),c_0_1015]),c_0_66]) ).

cnf(c_0_1030,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e1
    | op(e0,e3) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_1024]),c_0_81]),c_0_74]),c_0_367]) ).

cnf(c_0_1031,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e3) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_992,c_0_1025]),c_0_59]) ).

cnf(c_0_1032,plain,
    op(e0,e2) = e0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1026,c_0_1027])]) ).

cnf(c_0_1033,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e3,e3) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1028,c_0_1026]),c_0_73]) ).

cnf(c_0_1034,plain,
    op(e2,e2) = e3,
    inference(sr,[status(thm)],[c_0_989,c_0_1029]) ).

cnf(c_0_1035,plain,
    ( op(e2,e1) = e3
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_492,c_0_948]) ).

cnf(c_0_1036,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e2
    | op(e0,e2) = e1
    | op(e0,e3) = e3
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_535,c_0_1030]) ).

cnf(c_0_1037,plain,
    op(e0,e3) != e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1031,c_0_1008]),c_0_59]),c_0_1015]),c_0_66]) ).

cnf(c_0_1038,plain,
    op(e0,e3) = e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_937,c_0_1032]),c_0_73]) ).

cnf(c_0_1039,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_555,c_0_486]) ).

cnf(c_0_1040,plain,
    op(e3,e2) = e1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1033,c_0_1034]),c_0_74]),c_0_1027])]) ).

cnf(c_0_1041,plain,
    op(e3,e0) != e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1035,c_0_1008]),c_0_63]) ).

cnf(c_0_1042,plain,
    op(e3,e0) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[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_1036,c_0_1032]),c_0_1032]),c_0_1032]),c_0_59]),c_0_63]),c_0_73]),c_0_1037]),c_0_1038]),c_0_81]) ).

cnf(c_0_1043,plain,
    op(e3,e0) != e0,
    inference(rw,[status(thm)],[c_0_91,c_0_1027]) ).

cnf(c_0_1044,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1039,c_0_1040])]),c_0_1041]),c_0_1042]),c_0_1043]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : ALG152+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.08  % Command    : run_E %s %d THM
% 0.07/0.26  % Computer : n024.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Sat May 18 23:43:37 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.12/2.57  # Version: 3.1.0
% 11.12/2.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.12/2.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.12/2.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.12/2.57  # Starting new_bool_3 with 300s (1) cores
% 11.12/2.57  # Starting new_bool_1 with 300s (1) cores
% 11.12/2.57  # Starting sh5l with 300s (1) cores
% 11.12/2.57  # sh5l with pid 23351 completed with status 8
% 11.12/2.57  # new_bool_3 with pid 23349 completed with status 8
% 11.12/2.57  # new_bool_1 with pid 23350 completed with status 8
% 11.12/2.57  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 23348 completed with status 0
% 11.12/2.57  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 11.12/2.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.12/2.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.12/2.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.12/2.57  # No SInE strategy applied
% 11.12/2.57  # Search class: FGHSF-FSLM22-MFFFFFNN
% 11.12/2.57  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.12/2.57  # Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 11.12/2.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 11.12/2.57  # Starting new_bool_3 with 136s (1) cores
% 11.12/2.57  # Starting new_bool_1 with 136s (1) cores
% 11.12/2.57  # Starting G-E--_042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 11.12/2.57  # U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 23375 completed with status 0
% 11.12/2.57  # Result found by U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 11.12/2.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.12/2.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.12/2.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.12/2.57  # No SInE strategy applied
% 11.12/2.57  # Search class: FGHSF-FSLM22-MFFFFFNN
% 11.12/2.57  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.12/2.57  # Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 11.12/2.57  # Preprocessing time       : 0.003 s
% 11.12/2.57  # Presaturation interreduction done
% 11.12/2.57  
% 11.12/2.57  # Proof found!
% 11.12/2.57  # SZS status Unsatisfiable
% 11.12/2.57  # SZS output start CNFRefutation
% See solution above
% 11.12/2.57  # Parsed axioms                        : 29
% 11.12/2.57  # Removed by relevancy pruning/SinE    : 0
% 11.12/2.57  # Initial clauses                      : 376
% 11.12/2.57  # Removed in clause preprocessing      : 18
% 11.12/2.57  # Initial clauses in saturation        : 358
% 11.12/2.57  # Processed clauses                    : 21939
% 11.12/2.57  # ...of these trivial                  : 1309
% 11.12/2.57  # ...subsumed                          : 14363
% 11.12/2.57  # ...remaining for further processing  : 6267
% 11.12/2.57  # Other redundant clauses eliminated   : 0
% 11.12/2.57  # Clauses deleted for lack of memory   : 0
% 11.12/2.57  # Backward-subsumed                    : 4212
% 11.12/2.57  # Backward-rewritten                   : 1495
% 11.12/2.57  # Generated clauses                    : 163542
% 11.12/2.57  # ...of the previous two non-redundant : 155967
% 11.12/2.57  # ...aggressively subsumed             : 0
% 11.12/2.57  # Contextual simplify-reflections      : 681
% 11.12/2.57  # Paramodulations                      : 162600
% 11.12/2.57  # Factorizations                       : 741
% 11.12/2.57  # NegExts                              : 0
% 11.12/2.57  # Equation resolutions                 : 0
% 11.12/2.57  # Disequality decompositions           : 0
% 11.12/2.57  # Total rewrite steps                  : 1692
% 11.12/2.57  # ...of those cached                   : 1675
% 11.12/2.57  # Propositional unsat checks           : 0
% 11.12/2.57  #    Propositional check models        : 0
% 11.12/2.57  #    Propositional check unsatisfiable : 0
% 11.12/2.57  #    Propositional clauses             : 0
% 11.12/2.57  #    Propositional clauses after purity: 0
% 11.12/2.57  #    Propositional unsat core size     : 0
% 11.12/2.57  #    Propositional preprocessing time  : 0.000
% 11.12/2.57  #    Propositional encoding time       : 0.000
% 11.12/2.57  #    Propositional solver time         : 0.000
% 11.12/2.57  #    Success case prop preproc time    : 0.000
% 11.12/2.57  #    Success case prop encoding time   : 0.000
% 11.12/2.57  #    Success case prop solver time     : 0.000
% 11.12/2.57  # Current number of processed clauses  : 77
% 11.12/2.57  #    Positive orientable unit clauses  : 17
% 11.12/2.57  #    Positive unorientable unit clauses: 0
% 11.12/2.57  #    Negative unit clauses             : 28
% 11.12/2.57  #    Non-unit-clauses                  : 32
% 11.12/2.57  # Current number of unprocessed clauses: 44945
% 11.12/2.57  # ...number of literals in the above   : 393681
% 11.12/2.57  # Current number of archived formulas  : 0
% 11.12/2.57  # Current number of archived clauses   : 6190
% 11.12/2.57  # Clause-clause subsumption calls (NU) : 419078
% 11.12/2.57  # Rec. Clause-clause subsumption calls : 16472
% 11.12/2.57  # Non-unit clause-clause subsumptions  : 7097
% 11.12/2.57  # Unit Clause-clause subsumption calls : 5369
% 11.12/2.57  # Rewrite failures with RHS unbound    : 0
% 11.12/2.57  # BW rewrite match attempts            : 17
% 11.12/2.57  # BW rewrite match successes           : 17
% 11.12/2.57  # Condensation attempts                : 0
% 11.12/2.57  # Condensation successes               : 0
% 11.12/2.57  # Termbank termtop insertions          : 3236162
% 11.12/2.57  # Search garbage collected termcells   : 1951
% 11.12/2.57  
% 11.12/2.57  # -------------------------------------------------
% 11.12/2.57  # User time                : 2.142 s
% 11.12/2.57  # System time              : 0.053 s
% 11.12/2.57  # Total time               : 2.194 s
% 11.12/2.57  # Maximum resident set size: 2436 pages
% 11.12/2.57  
% 11.12/2.57  # -------------------------------------------------
% 11.12/2.57  # User time                : 10.739 s
% 11.12/2.57  # System time              : 0.304 s
% 11.12/2.57  # Total time               : 11.043 s
% 11.12/2.57  # Maximum resident set size: 1880 pages
% 11.12/2.57  % E---3.1 exiting
% 11.12/2.57  % E exiting
%------------------------------------------------------------------------------