%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ALG148+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% 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 : Wed Aug 30 16:03:38 EDT 2023

% Result   : Unsatisfiable 3.97s 4.08s
% Output   : CNFRefutation 3.97s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    e0: $i ).

tff(decl_23,type,
    op: ( $i * $i ) > $i ).

tff(decl_24,type,
    e1: $i ).

tff(decl_25,type,
    e2: $i ).

tff(decl_26,type,
    e3: $i ).

tff(decl_27,type,
    epred1_0: $o ).

tff(decl_28,type,
    epred2_0: $o ).

tff(decl_29,type,
    epred3_0: $o ).

tff(decl_30,type,
    epred4_0: $o ).

tff(decl_31,type,
    epred5_0: $o ).

tff(decl_32,type,
    epred6_0: $o ).

tff(decl_33,type,
    epred7_0: $o ).

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) = 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(e0,e2) = 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(e0,e3) = 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(e1,e0) = 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(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) = 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(e1,e3) = 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(e2,e0) = 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(e2,e1) = 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(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) = 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,e0) = 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(e3,e1) = 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(e3,e2) = 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,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(e1,e1) = e1
      | op(e2,e2) = e2
      | op(e3,e3) = e3 )
    & ( op(e0,e0) != e0
      | op(e0,e0) = e0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) = e0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) = e1 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1 )
    & ( op(e1,e1) != e2
      | op(e1,e2) = e1 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1 )
    & ( op(e2,e2) != e0
      | op(e2,e0) = e2 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2 )
    & ( op(e3,e3) != e0
      | op(e3,e0) = e3 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3 )
    & ( op(e3,e3) != e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

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

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

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

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

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

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

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

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

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

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

fof(ax15,axiom,
    ~ ( e1 = op(e0,e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

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

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

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

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

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

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

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

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

fof(c_0_23,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) = 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(e0,e2) = 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(e0,e3) = 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(e1,e0) = 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(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) = 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(e1,e3) = 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 ) )
      | ( op(e2,e0) = 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(e2,e1) = 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(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) = 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,e0) = 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,e1) = 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) ).

fof(c_0_24,plain,
    ( ( epred7_0
      | ( op(e3,e2) = 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(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(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2
      | op(e3,e3) = e3 )
    & ( op(e0,e0) != e0
      | op(e0,e0) = e0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) = e0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) = e1 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1 )
    & ( op(e1,e1) != e2
      | op(e1,e2) = e1 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1 )
    & ( op(e2,e2) != e0
      | op(e2,e0) = e2 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2 )
    & ( op(e3,e3) != e0
      | op(e3,e0) = e3 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3 )
    & ( op(e3,e3) != e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3 ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax5]),c_0_23]) ).

fof(c_0_25,plain,
    ( ( op(e3,e3) = e3
      | op(e3,e2) = e2
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e2) = e2
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e2) = e2
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e2) = e2
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e3,e2) = e2
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred7_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) != e3
      | epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e3) != e3
      | epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e3) != e3
      | epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e3) != e3
      | epred7_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) != e3
      | epred7_0 )
    & ( op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2
      | op(e3,e3) = e3 )
    & ( op(e0,e0) != e0
      | op(e0,e0) = e0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) = e0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) = e1 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1 )
    & ( op(e1,e1) != e2
      | op(e1,e2) = e1 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1 )
    & ( op(e2,e2) != e0
      | op(e2,e0) = e2 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2 )
    & ( op(e3,e3) != e0
      | op(e3,e0) = e3 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3 )
    & ( op(e3,e3) != e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3 ) ),
    inference(distribute,[status(thm)],[c_0_24]) ).

cnf(c_0_26,plain,
    ( epred7_0
    | op(e0,e0) != e3
    | op(e0,e3) != e0
    | op(e0,e0) != e3
    | op(e0,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_27,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_28,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_29,plain,
    ( epred7_0
    | op(e0,e0) != e3
    | op(e0,e3) != e0 ),
    inference(cn,[status(thm)],[c_0_26]) ).

cnf(c_0_30,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_33,plain,
    ( epred7_0
    | op(e3,e3) != e3
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_35,plain,
    ( epred7_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | op(e2,e2) != e3
    | op(e2,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    ( epred7_0
    | op(e1,e1) != e3
    | op(e1,e3) != e1
    | op(e1,e1) != e3
    | op(e1,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( epred7_0
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,plain,
    ( op(e3,e3) = e3
    | op(e2,e3) = e3
    | op(e0,e3) = e3
    | op(e0,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,plain,
    ( epred7_0
    | op(e3,e3) != e3 ),
    inference(cn,[status(thm)],[c_0_33]) ).

cnf(c_0_40,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_34,c_0_28]) ).

cnf(c_0_41,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_42,plain,
    ( epred7_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2 ),
    inference(cn,[status(thm)],[c_0_35]) ).

cnf(c_0_43,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_44,plain,
    ( epred7_0
    | op(e1,e1) != e3
    | op(e1,e3) != e1 ),
    inference(cn,[status(thm)],[c_0_36]) ).

cnf(c_0_45,plain,
    ( op(e1,e3) = e1
    | op(e1,e1) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_46,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_47,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e3) = e3
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_48,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_49,plain,
    ( epred7_0
    | op(e2,e2) != e3 ),
    inference(csr,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( epred7_0
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,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_52,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_53,plain,
    ( op(e3,e1) = e3
    | op(e3,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_54,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred7_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_55,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e2) = e3
    | op(e3,e2) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_49]) ).

cnf(c_0_56,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_57,plain,
    op(e1,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_58,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e0) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_59,plain,
    ( op(e3,e0) != e3
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    ( op(e3,e2) = e3
    | op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_61,plain,
    ( op(e3,e2) != e3
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_53]) ).

cnf(c_0_62,plain,
    op(e0,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_63,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_64,plain,
    ( op(e1,e2) = e3
    | op(e1,e3) = e3
    | epred7_0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_65,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_66,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | epred7_0
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_67,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_68,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_69,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_70,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,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_72,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | epred7_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_73,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_39]) ).

cnf(c_0_74,plain,
    ( op(e1,e2) = e3
    | op(e1,e3) = e3
    | epred7_0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_68,c_0_58]) ).

cnf(c_0_75,plain,
    op(e2,e1) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_76,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_77,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_78,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_69]) ).

cnf(c_0_79,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_80,plain,
    op(e0,e1) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_81,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_82,plain,
    ( op(e2,e3) = e3
    | op(e3,e3) = e2
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_83,plain,
    ( op(e2,e3) != e2
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | epred7_0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_85,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79]),c_0_49]) ).

cnf(c_0_86,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | epred7_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_80,c_0_78]) ).

cnf(c_0_87,plain,
    ( op(e1,e2) = e3
    | op(e3,e3) = e2
    | op(e2,e3) = e3
    | epred7_0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_88,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_89,plain,
    ( op(e2,e2) != e1
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_83,c_0_43]) ).

cnf(c_0_90,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_91,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_92,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).

cnf(c_0_93,plain,
    ( op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_87,c_0_47]) ).

cnf(c_0_94,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_95,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_96,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_71]),c_0_88]),c_0_89]) ).

cnf(c_0_97,plain,
    ( op(e2,e3) != e2
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_98,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_99,plain,
    ( op(e2,e1) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred7_0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_52,c_0_92]) ).

cnf(c_0_100,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_93]),c_0_37]) ).

cnf(c_0_101,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e2
    | epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_102,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_103,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_104,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e1
    | op(e2,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_71]),c_0_95]),c_0_96]) ).

cnf(c_0_105,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_106,plain,
    ( op(e2,e2) != e0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_97,c_0_43]) ).

cnf(c_0_107,plain,
    ( op(e2,e0) != e2
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_98,c_0_76]) ).

cnf(c_0_108,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_109,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e1) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_110,plain,
    ( op(e3,e2) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[c_0_101,c_0_39]) ).

cnf(c_0_111,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_102,c_0_71]),c_0_103]) ).

cnf(c_0_112,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_113,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_104]),c_0_105]),c_0_106]) ).

cnf(c_0_114,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_115,plain,
    ( op(e2,e2) != e1
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_107,c_0_91]) ).

cnf(c_0_116,plain,
    ( op(e2,e1) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).

cnf(c_0_117,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e3
    | op(e2,e3) = e0
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_104]),c_0_95]),c_0_112]),c_0_113]) ).

cnf(c_0_118,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_119,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_120,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_121,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_122,plain,
    ( op(e2,e3) = e0
    | op(e2,e0) = e0
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_102]),c_0_114]),c_0_115]) ).

cnf(c_0_123,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_116]),c_0_103]) ).

cnf(c_0_124,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e1
    | op(e2,e0) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_116]),c_0_95]),c_0_96]) ).

cnf(c_0_125,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_117]),c_0_88]),c_0_106]) ).

cnf(c_0_126,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_127,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_128,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_129,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_130,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_131,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e1
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_94]),c_0_112]),c_0_122]) ).

cnf(c_0_132,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e3
    | op(e2,e3) = e0
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_95]),c_0_112]),c_0_125]) ).

cnf(c_0_133,plain,
    op(e1,e0) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_134,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_126,c_0_127]) ).

cnf(c_0_135,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_27,c_0_128]) ).

cnf(c_0_136,plain,
    op(e1,e1) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_137,plain,
    ( op(e2,e0) != e3
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_129,c_0_65]) ).

cnf(c_0_138,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_130,c_0_67]) ).

cnf(c_0_139,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_95]),c_0_103]),c_0_125]) ).

cnf(c_0_140,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_141,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_135,c_0_127]),c_0_112]) ).

cnf(c_0_142,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_136,c_0_134]) ).

cnf(c_0_143,plain,
    ( op(e2,e3) = e3
    | op(e2,e1) = e3
    | epred7_0
    | op(e3,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_65]),c_0_137]) ).

cnf(c_0_144,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_39]) ).

cnf(c_0_145,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).

cnf(c_0_146,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_147,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_148,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_149,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e0
    | op(e2,e1) = e3
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_150,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_151,plain,
    ( op(e1,e2) = e1
    | op(e1,e1) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_152,plain,
    ( op(e1,e1) = e2
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_145]) ).

cnf(c_0_153,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_146,c_0_127]) ).

cnf(c_0_154,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_155,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_156,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_147,c_0_63]) ).

cnf(c_0_157,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e0) = e2
    | op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_148]),c_0_105]) ).

cnf(c_0_158,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_71]),c_0_88]),c_0_43]) ).

cnf(c_0_159,plain,
    ( op(e2,e3) = e3
    | op(e2,e1) = e3
    | op(e2,e3) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_149]),c_0_110]) ).

cnf(c_0_160,plain,
    op(e2,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_161,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_81,c_0_150]) ).

cnf(c_0_162,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).

cnf(c_0_163,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_154,c_0_150]) ).

cnf(c_0_164,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_155,c_0_150]) ).

cnf(c_0_165,plain,
    ( op(e0,e0) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_156,c_0_53]) ).

cnf(c_0_166,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e0) = e2
    | op(e2,e3) = e0
    | op(e2,e0) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_148]),c_0_114]),c_0_91]) ).

cnf(c_0_167,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e3
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_88]),c_0_95]) ).

cnf(c_0_168,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_159]),c_0_103]) ).

cnf(c_0_169,plain,
    ( epred7_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_160,c_0_110]) ).

cnf(c_0_170,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]),c_0_164]) ).

cnf(c_0_171,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_165,c_0_67]) ).

cnf(c_0_172,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e0) = e2
    | op(e2,e3) = e0
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_157]),c_0_105]),c_0_112]) ).

cnf(c_0_173,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e3) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_167]),c_0_88]),c_0_105]),c_0_43]) ).

cnf(c_0_174,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_168]),c_0_103]),c_0_114]),c_0_169]) ).

cnf(c_0_175,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | epred7_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_170]) ).

cnf(c_0_176,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | epred7_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_154,c_0_170]) ).

cnf(c_0_177,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_178,plain,
    ( op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_171]),c_0_39]) ).

cnf(c_0_179,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_172]),c_0_105]),c_0_114]) ).

cnf(c_0_180,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_114]),c_0_112]),c_0_103]),c_0_169]) ).

fof(c_0_181,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(fof_nnf,[status(thm)],[ax12]) ).

cnf(c_0_182,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_144]),c_0_176]) ).

cnf(c_0_183,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e0,e2) = e3
    | epred7_0
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

fof(c_0_184,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(fof_nnf,[status(thm)],[ax16]) ).

cnf(c_0_185,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_88]),c_0_103]),c_0_95]),c_0_169]) ).

cnf(c_0_186,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_187,plain,
    ( op(e1,e3) = e2
    | op(e2,e3) = e3
    | op(e3,e3) = e2
    | epred7_0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_146,c_0_182]) ).

cnf(c_0_188,plain,
    ( op(e3,e3) = e0
    | op(e0,e2) = e3
    | op(e3,e3) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_178]),c_0_183]) ).

cnf(c_0_189,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_190,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_191,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_192,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_193,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_184]) ).

cnf(c_0_194,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_185]),c_0_88]),c_0_114]),c_0_105]) ).

cnf(c_0_195,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(op(e1,e3),e3) != e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_186,c_0_67]) ).

cnf(c_0_196,plain,
    ( op(e0,e2) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e1,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_183]) ).

cnf(c_0_197,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e0
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_83]) ).

cnf(c_0_198,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_199,plain,
    ( op(e2,e2) = e0
    | epred7_0
    | op(op(e1,e2),e2) != e3
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_200,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_201,plain,
    ( op(e0,e2) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred7_0
    | op(e2,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_39]) ).

cnf(c_0_202,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_197,c_0_194]) ).

cnf(c_0_203,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_198,c_0_194]) ).

cnf(c_0_204,plain,
    ( op(e3,e2) = e0
    | op(e0,e2) = e0
    | op(e2,e2) = e0
    | epred7_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_205,plain,
    ( op(e2,e2) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e0,e2) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_183]) ).

cnf(c_0_206,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e2,e2) = e0
    | epred7_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_199,c_0_203]) ).

cnf(c_0_207,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_103]) ).

cnf(c_0_208,plain,
    op(e0,e2) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_209,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e2,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_205]) ).

cnf(c_0_210,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e3) = e2
    | epred7_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_130,c_0_207]) ).

cnf(c_0_211,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_212,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_205]) ).

cnf(c_0_213,plain,
    ( op(e2,e3) = e3
    | op(e3,e3) = e2
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_202]) ).

fof(c_0_214,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(fof_nnf,[status(thm)],[ax8]) ).

cnf(c_0_215,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_110]) ).

cnf(c_0_216,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_213]),c_0_110]) ).

cnf(c_0_217,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(split_conjunct,[status(thm)],[c_0_214]) ).

cnf(c_0_218,plain,
    ( op(e2,e2) = e0
    | op(e3,e3) = e2
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_215]) ).

cnf(c_0_219,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_216]),c_0_114]) ).

cnf(c_0_220,plain,
    ( op(e2,e2) = e0
    | op(e3,e3) = e2
    | epred7_0
    | op(op(e0,e3),e3) != e2
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_217,c_0_215]) ).

cnf(c_0_221,plain,
    ( op(e1,e3) = e2
    | op(e3,e3) = e2
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_218]),c_0_219]) ).

cnf(c_0_222,plain,
    ( op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_162]),c_0_221]) ).

cnf(c_0_223,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_224,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_225,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_222]),c_0_112]),c_0_105]) ).

cnf(c_0_226,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_223,c_0_63]),c_0_88]) ).

cnf(c_0_227,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_228,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e0) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_223]),c_0_114]) ).

cnf(c_0_229,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_124]),c_0_95]),c_0_105]),c_0_169]) ).

cnf(c_0_230,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_225]),c_0_110]) ).

cnf(c_0_231,plain,
    op(e0,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_232,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_226]) ).

cnf(c_0_233,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e3) = e1
    | op(e0,e2) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_223]),c_0_105]),c_0_228]) ).

cnf(c_0_234,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e1
    | epred7_0
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_229]),c_0_88]),c_0_97]) ).

cnf(c_0_235,plain,
    ( op(e2,e2) = e0
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_230]),c_0_95]) ).

cnf(c_0_236,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | epred7_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_237,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_231,c_0_233]) ).

cnf(c_0_238,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_239,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_240,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e0,e0) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_63]),c_0_103]) ).

cnf(c_0_241,plain,
    ( op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | epred7_0
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_236,c_0_91]) ).

cnf(c_0_242,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_91]) ).

cnf(c_0_243,plain,
    ( op(e2,e3) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_238]),c_0_39]) ).

cnf(c_0_244,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_177,c_0_239]) ).

fof(c_0_245,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(fof_nnf,[status(thm)],[ax10]) ).

cnf(c_0_246,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e3
    | op(e0,e3) = e1
    | op(e0,e2) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_63]),c_0_95]),c_0_240]) ).

cnf(c_0_247,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_241,c_0_235]) ).

cnf(c_0_248,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_242,c_0_235]) ).

cnf(c_0_249,plain,
    ( op(e3,e3) = e2
    | op(e2,e1) = e3
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_243]) ).

cnf(c_0_250,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_251,plain,
    ( op(e2,e3) = e3
    | op(e0,e3) = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_244,c_0_238]) ).

cnf(c_0_252,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_245]) ).

cnf(c_0_253,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_246]) ).

cnf(c_0_254,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_95]),c_0_105]) ).

cnf(c_0_255,plain,
    ( op(e2,e3) = e3
    | op(e2,e1) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_249]),c_0_110]) ).

cnf(c_0_256,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e2,e3) = e3
    | epred7_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_257,plain,
    ( epred7_0
    | op(op(e0,e2),e2) != e3
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_252,c_0_235]) ).

cnf(c_0_258,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e1
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_105]),c_0_88]) ).

cnf(c_0_259,plain,
    ( op(e2,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_255]),c_0_37]) ).

fof(c_0_260,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(fof_nnf,[status(thm)],[ax6]) ).

cnf(c_0_261,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_243]) ).

cnf(c_0_262,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | epred7_0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_263,plain,
    ( op(e0,e2) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e2
    | op(e1,e2) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_87,c_0_259]) ).

cnf(c_0_264,plain,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_265,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(split_conjunct,[status(thm)],[c_0_260]) ).

cnf(c_0_266,plain,
    ( op(e0,e3) = e2
    | op(e2,e3) = e3
    | op(e3,e3) = e2
    | epred7_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_46,c_0_261]) ).

cnf(c_0_267,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_268,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_269,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_136,c_0_264]) ).

cnf(c_0_270,plain,
    op(e2,e0) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_271,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e3
    | epred7_0
    | op(op(e0,e3),e3) != e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_265,c_0_243]) ).

cnf(c_0_272,plain,
    ( op(e0,e2) = e2
    | op(e3,e3) = e2
    | op(e2,e3) = e3
    | op(e0,e3) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_266,c_0_267]) ).

cnf(c_0_273,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e0) = e2
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_268]),c_0_105]) ).

cnf(c_0_274,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_269,c_0_192]) ).

cnf(c_0_275,plain,
    ( op(e2,e2) != e2
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_91]) ).

cnf(c_0_276,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_277,plain,
    ( op(e0,e2) = e2
    | op(e2,e3) = e3
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_238]) ).

cnf(c_0_278,plain,
    ( op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e1,e2) = e2
    | op(e1,e3) = e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_68,c_0_273]) ).

cnf(c_0_279,plain,
    ( op(e3,e3) = e3
    | op(e0,e0) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_274]),c_0_275]) ).

cnf(c_0_280,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_110]) ).

cnf(c_0_281,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e3,e3) = e3
    | op(e0,e0) = e0
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_91]),c_0_275]) ).

cnf(c_0_282,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e0,e0) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_235]),c_0_39]) ).

cnf(c_0_283,plain,
    ( op(e2,e3) = e3
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_280]),c_0_110]) ).

cnf(c_0_284,plain,
    ( op(e0,e0) = e0
    | op(e1,e2) = e2
    | op(e1,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_235]),c_0_39]) ).

cnf(c_0_285,plain,
    ( op(e0,e0) = e0
    | op(e1,e2) = e2
    | epred7_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_208,c_0_282]) ).

cnf(c_0_286,plain,
    ( op(e0,e2) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_283]) ).

cnf(c_0_287,plain,
    ( op(e1,e2) = e2
    | op(e0,e0) = e0
    | epred7_0
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_155,c_0_284]) ).

cnf(c_0_288,plain,
    ( op(e3,e3) = e0
    | op(e1,e2) = e2
    | op(e0,e0) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287]) ).

cnf(c_0_289,plain,
    op(e3,e0) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_290,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_291,plain,
    op(e0,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_292,plain,
    ( op(e0,e0) = e0
    | op(e3,e3) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_288]),c_0_110]) ).

cnf(c_0_293,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_59]) ).

cnf(c_0_294,plain,
    ( op(e3,e3) = e0
    | epred7_0
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_295,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e0
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_293,c_0_67]) ).

cnf(c_0_296,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_297,plain,
    ( op(e3,e0) = e2
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_39]) ).

cnf(c_0_298,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_110]) ).

cnf(c_0_299,plain,
    ( op(e3,e3) = e2
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_298]) ).

cnf(c_0_300,plain,
    ( op(e3,e3) = e2
    | epred7_0
    | op(op(e0,e3),e3) != e2
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_217,c_0_298]) ).

cnf(c_0_301,plain,
    ( op(e1,e3) = e2
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_299]),c_0_283]) ).

fof(c_0_302,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) = 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(e0,e2) = 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(e0,e3) = 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(e1,e0) = 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(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) = 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(e1,e3) = 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 ) )
      | ( op(e2,e0) = 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(e2,e1) = 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(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) = 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 ) ) ) ),
    introduced(definition) ).

cnf(c_0_303,plain,
    ( op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_162]),c_0_301]) ).

fof(c_0_304,plain,
    ( epred7_0
   => ( epred6_0
      | ( op(e3,e0) = 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,e1) = 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_23]),c_0_302]) ).

cnf(c_0_305,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e1
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_303]),c_0_112]),c_0_105]) ).

fof(c_0_306,plain,
    ( ( op(e3,e1) = e1
      | op(e3,e0) = e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e0) = e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e0) = e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e0) = e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e3
      | op(e3,e0) = e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e1
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e3
      | op(e0,e0) != e3
      | op(e0,e3) != e0
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e1
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e3
      | op(e1,e1) != e3
      | op(e1,e3) != e1
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e1
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e3
      | op(e2,e2) != e3
      | op(e2,e3) != e2
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e1) = e1
      | op(e3,e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) != e0
      | op(e3,e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e1,e1) != e3
      | op(e1,e3) != e1
      | op(e3,e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e2,e2) != e3
      | op(e2,e3) != e2
      | op(e3,e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e3,e3) != e3
      | op(e3,e3) != e3
      | epred6_0
      | ~ epred7_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_304])]) ).

cnf(c_0_307,plain,
    ( op(e2,e3) = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_305]),c_0_110]) ).

cnf(c_0_308,plain,
    ( epred6_0
    | op(e3,e3) != e3
    | op(e3,e3) != e3
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_309,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_310,plain,
    ( op(e3,e2) != e3
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_65]) ).

cnf(c_0_311,plain,
    op(e1,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_312,plain,
    ( op(e3,e1) = e1
    | op(e3,e0) = e0
    | epred6_0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_313,plain,
    epred7_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_307]),c_0_95]) ).

cnf(c_0_314,plain,
    ( epred6_0
    | op(e3,e3) != e3
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[c_0_308]) ).

cnf(c_0_315,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_316,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_309]),c_0_88]) ).

cnf(c_0_317,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_318,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e2) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_67]),c_0_310]) ).

cnf(c_0_319,plain,
    op(e1,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_320,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_321,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_322,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_311,c_0_264]) ).

cnf(c_0_323,plain,
    ( op(e3,e1) = e1
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_313])]) ).

cnf(c_0_324,plain,
    ( epred6_0
    | op(e3,e3) != e3 ),
    inference(csr,[status(thm)],[c_0_314,c_0_39]) ).

cnf(c_0_325,plain,
    ( epred6_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_326,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e2) = e1
    | op(e3,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_309]),c_0_105]),c_0_316]) ).

cnf(c_0_327,plain,
    ( op(e3,e3) = e3
    | op(e3,e0) = e3
    | op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_317]),c_0_88]),c_0_318]) ).

cnf(c_0_328,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_329,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_319,c_0_264]) ).

cnf(c_0_330,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_331,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_332,plain,
    ( op(e3,e0) = e0
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]) ).

cnf(c_0_333,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_334,plain,
    ( epred6_0
    | op(e2,e2) != e3
    | op(e2,e3) != e2
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[c_0_325]) ).

cnf(c_0_335,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | op(e3,e0) = e3
    | op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_317]),c_0_95]) ).

cnf(c_0_336,plain,
    ( op(e3,e0) = e2
    | op(e3,e3) = e3
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_88]),c_0_95]) ).

cnf(c_0_337,plain,
    ( op(e3,e2) = e3
    | op(e3,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_338,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_147,c_0_328]) ).

cnf(c_0_339,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_340,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e3,e1) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_331,c_0_330]) ).

cnf(c_0_341,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e0
    | epred6_0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_231,c_0_332]) ).

cnf(c_0_342,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_333]) ).

cnf(c_0_343,plain,
    ( epred6_0
    | op(e2,e2) != e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_334,c_0_49]),c_0_43]) ).

cnf(c_0_344,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_88]),c_0_105]),c_0_337]) ).

cnf(c_0_345,plain,
    ( op(e3,e0) = e0
    | epred6_0
    | op(e3,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_323]),c_0_95]) ).

cnf(c_0_346,plain,
    ( epred6_0
    | op(e1,e1) != e3
    | op(e1,e3) != e1
    | op(e1,e1) != e3
    | op(e1,e3) != e1
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_347,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_348,plain,
    ( op(e3,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e1) = e2
    | op(e0,e1) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_338,c_0_323]) ).

cnf(c_0_349,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_339]) ).

cnf(c_0_350,plain,
    ( op(e3,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_323]),c_0_112]),c_0_105]),c_0_95]) ).

cnf(c_0_351,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e3,e0) = e0
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]) ).

cnf(c_0_352,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | op(e3,e2) = e1
    | op(e3,e0) = e2
    | op(e3,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_344]),c_0_105]) ).

cnf(c_0_353,plain,
    ( op(e3,e3) != e3
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_65]) ).

cnf(c_0_354,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e2
    | op(e3,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_67]),c_0_105]) ).

cnf(c_0_355,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_67]),c_0_324]) ).

cnf(c_0_356,plain,
    ( epred6_0
    | op(e1,e1) != e3
    | op(e1,e3) != e1
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[c_0_346]) ).

cnf(c_0_357,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e3,e0) = e0
    | epred6_0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_358,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_324]) ).

cnf(c_0_359,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | epred6_0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_129,c_0_351]) ).

cnf(c_0_360,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_361,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e3) != e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_352]),c_0_88]),c_0_310]),c_0_353]) ).

cnf(c_0_362,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_114]),c_0_324]) ).

fof(c_0_363,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(fof_nnf,[status(thm)],[ax11]) ).

cnf(c_0_364,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_311,c_0_119]) ).

cnf(c_0_365,plain,
    ( epred6_0
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_356,c_0_50]),c_0_45]) ).

cnf(c_0_366,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e0
    | op(e0,e1) = e2
    | op(e0,e1) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_357,c_0_332]) ).

cnf(c_0_367,plain,
    ( op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred6_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_75,c_0_358]) ).

cnf(c_0_368,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_342]),c_0_343]) ).

cnf(c_0_369,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred6_0
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_358]),c_0_275]) ).

cnf(c_0_370,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_361,c_0_362]) ).

cnf(c_0_371,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_372,plain,
    ( op(e3,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_323]),c_0_365]) ).

cnf(c_0_373,plain,
    ( op(e0,e1) = e2
    | op(e3,e0) = e0
    | op(e2,e2) = e2
    | epred6_0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_62,c_0_366]) ).

cnf(c_0_374,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369]) ).

cnf(c_0_375,plain,
    ( op(e3,e0) = e0
    | epred6_0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_323]) ).

cnf(c_0_376,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_370]) ).

cnf(c_0_377,plain,
    ( op(e1,e1) = e2
    | op(e3,e0) = e0
    | epred6_0
    | op(op(e0,e1),e1) != e3
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_378,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e3,e0) = e0
    | op(e0,e1) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_379,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_380,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_381,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_322,c_0_315]) ).

cnf(c_0_382,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_383,plain,
    ( op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e3,e0) = e0
    | op(e1,e1) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_374]) ).

cnf(c_0_384,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e0
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_379]),c_0_107]) ).

cnf(c_0_385,plain,
    ( op(e3,e2) = e2
    | epred6_0
    | op(e3,e3) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_380]),c_0_103]),c_0_310]) ).

cnf(c_0_386,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e3,e0) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_381]) ).

cnf(c_0_387,plain,
    ( op(e3,e0) = e0
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_378]) ).

cnf(c_0_388,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_384,c_0_333]) ).

cnf(c_0_389,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_385,c_0_362]) ).

cnf(c_0_390,plain,
    ( op(e2,e1) != e3
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_320,c_0_53]) ).

cnf(c_0_391,plain,
    ( op(e2,e1) = e2
    | op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_112]),c_0_324]) ).

cnf(c_0_392,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_90,c_0_388]) ).

cnf(c_0_393,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_389]) ).

cnf(c_0_394,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e1
    | op(e2,e1) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_374]) ).

cnf(c_0_395,plain,
    ( op(e2,e2) = e2
    | op(e2,e1) = e2
    | epred6_0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_98,c_0_374]) ).

cnf(c_0_396,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_368]),c_0_343]) ).

cnf(c_0_397,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_329,c_0_94]) ).

cnf(c_0_398,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | op(e3,e1) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_331,c_0_94]) ).

cnf(c_0_399,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_105]),c_0_95]) ).

cnf(c_0_400,plain,
    ( op(e2,e2) = e0
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_396]) ).

cnf(c_0_401,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e2,e0) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_397]) ).

cnf(c_0_402,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_323]),c_0_112]),c_0_105]),c_0_95]) ).

cnf(c_0_403,plain,
    ( op(e2,e2) = e2
    | epred6_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_98,c_0_399]) ).

cnf(c_0_404,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e3
    | op(e2,e3) = e0
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_158]),c_0_88]),c_0_103]) ).

cnf(c_0_405,plain,
    ( op(e2,e2) = e2
    | epred6_0
    | op(e2,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_400]),c_0_97]) ).

cnf(c_0_406,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_324]) ).

cnf(c_0_407,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_368]),c_0_114]),c_0_112]),c_0_103]) ).

cnf(c_0_408,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e3
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_405]) ).

cnf(c_0_409,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_406]),c_0_105]),c_0_407]) ).

cnf(c_0_410,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_408]),c_0_114]),c_0_112]),c_0_103]) ).

cnf(c_0_411,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_95]) ).

cnf(c_0_412,plain,
    ( op(e2,e2) = e2
    | op(e2,e0) = e0
    | op(e2,e3) = e0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_411]) ).

fof(c_0_413,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(fof_nnf,[status(thm)],[ax20]) ).

cnf(c_0_414,plain,
    ( op(e3,e0) = e0
    | epred6_0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_52,c_0_323]) ).

cnf(c_0_415,plain,
    ( op(e2,e2) = e2
    | op(e2,e0) = e0
    | op(e2,e0) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_411]) ).

cnf(c_0_416,plain,
    ( op(e2,e3) = e0
    | op(e3,e0) = e0
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_341,c_0_412]) ).

cnf(c_0_417,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e1
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_147,c_0_227]) ).

cnf(c_0_418,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_62,c_0_223]) ).

cnf(c_0_419,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_420,plain,
    ( op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e0) = e3
    | op(e3,e2) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_335]),c_0_112]),c_0_324]) ).

cnf(c_0_421,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e2
    | epred6_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_90,c_0_415]) ).

cnf(c_0_422,plain,
    ( op(e2,e2) = e2
    | op(e2,e3) = e0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_416]),c_0_412]) ).

cnf(c_0_423,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_424,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_425,plain,
    ( op(e3,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_323]) ).

cnf(c_0_426,plain,
    ( op(e2,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_399]) ).

cnf(c_0_427,plain,
    ( op(e3,e2) = e2
    | epred6_0
    | op(op(e2,e3),e3) != e1
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_419,c_0_389]) ).

cnf(c_0_428,plain,
    ( op(e3,e2) = e3
    | op(e3,e3) = e1
    | op(e3,e2) = e1
    | epred6_0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_129,c_0_420]) ).

cnf(c_0_429,plain,
    ( op(e2,e2) = e2
    | op(e2,e0) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_430,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_423,c_0_424]) ).

cnf(c_0_431,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_425]),c_0_112]) ).

cnf(c_0_432,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_426]),c_0_114]) ).

cnf(c_0_433,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e2
    | epred6_0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_427,c_0_422]) ).

cnf(c_0_434,plain,
    ( epred6_0
    | op(e0,e0) != e3
    | op(e0,e3) != e0
    | op(e0,e0) != e3
    | op(e0,e3) != e0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_435,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e2) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_436,plain,
    ( op(e2,e2) = e2
    | op(e0,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_430,c_0_411]) ).

cnf(c_0_437,plain,
    ( op(e0,e2) = e2
    | op(e3,e0) = e0
    | op(e2,e2) = e2
    | op(e0,e2) = e1
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_105]) ).

cnf(c_0_438,plain,
    ( op(e3,e0) = e0
    | op(e0,e2) = e1
    | op(e3,e2) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_433,c_0_431]) ).

cnf(c_0_439,plain,
    ( epred6_0
    | op(e0,e0) != e3
    | op(e0,e3) != e0
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[c_0_434]) ).

cnf(c_0_440,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_441,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e2
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_435]),c_0_375]) ).

cnf(c_0_442,plain,
    ( op(e3,e0) = e0
    | op(e0,e2) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_112]),c_0_105]),c_0_95]) ).

cnf(c_0_443,plain,
    ( op(e3,e2) = e2
    | op(e3,e0) = e0
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_438]),c_0_112]),c_0_105]),c_0_95]) ).

cnf(c_0_444,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_320,c_0_315]) ).

cnf(c_0_445,plain,
    ( epred6_0
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_439,c_0_37]),c_0_30]) ).

cnf(c_0_446,plain,
    ( op(e2,e3) = e2
    | op(e0,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_195,c_0_440]) ).

cnf(c_0_447,plain,
    ( op(e2,e2) = e2
    | epred6_0
    | op(e3,e3) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_441]),c_0_103]),c_0_310]) ).

cnf(c_0_448,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_442]),c_0_443]) ).

cnf(c_0_449,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e3,e0) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_444,c_0_330]) ).

cnf(c_0_450,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e0
    | epred6_0
    | op(op(e1,e2),e2) != e3
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_193,c_0_407]) ).

cnf(c_0_451,plain,
    ( op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_171]),c_0_324]) ).

cnf(c_0_452,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e2
    | op(e0,e3) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_422]),c_0_114]),c_0_324]),c_0_447]) ).

cnf(c_0_453,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_448]),c_0_112]),c_0_324]) ).

cnf(c_0_454,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_449]),c_0_112]) ).

cnf(c_0_455,plain,
    ( op(e3,e2) = e0
    | op(e0,e2) = e0
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | epred6_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_450,c_0_200]) ).

cnf(c_0_456,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e2
    | op(e0,e2) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_88]),c_0_447]) ).

cnf(c_0_457,plain,
    ( epred6_0
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_91]),c_0_275]) ).

cnf(c_0_458,plain,
    ( op(e2,e2) = e2
    | epred6_0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_448]) ).

cnf(c_0_459,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e1
    | epred6_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_61,c_0_453]) ).

fof(c_0_460,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(fof_nnf,[status(thm)],[ax22]) ).

cnf(c_0_461,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e3,e2) = e1
    | epred6_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_61,c_0_454]) ).

cnf(c_0_462,plain,
    ( op(e3,e3) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_103]),c_0_457]),c_0_458]) ).

cnf(c_0_463,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_393]),c_0_95]) ).

cnf(c_0_464,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_465,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_466,plain,
    ( op(e3,e2) = e2
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_393]),c_0_95]) ).

cnf(c_0_467,plain,
    ( op(e2,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_462]),c_0_463]) ).

cnf(c_0_468,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e3) = e3
    | op(e2,e3) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_38]),c_0_324]) ).

cnf(c_0_469,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e1) = e2
    | op(op(e2,e1),e1) != e3
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_465]) ).

cnf(c_0_470,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_466]),c_0_467]) ).

cnf(c_0_471,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred6_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_46,c_0_468]) ).

cnf(c_0_472,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e2) = e3
    | op(e3,e2) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_48]),c_0_343]) ).

cnf(c_0_473,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e0,e1) = e2
    | op(e3,e1) = e2
    | epred6_0
    | op(e0,e1) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_114]) ).

cnf(c_0_474,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_365,c_0_69]) ).

cnf(c_0_475,plain,
    ( op(e1,e1) = e2
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_365,c_0_145]) ).

cnf(c_0_476,plain,
    ( op(e3,e2) = e3
    | op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_471,c_0_472]) ).

cnf(c_0_477,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_88]) ).

cnf(c_0_478,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_475]),c_0_153]) ).

cnf(c_0_479,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_79]),c_0_343]) ).

cnf(c_0_480,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | epred6_0
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_476]),c_0_61]) ).

cnf(c_0_481,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e3,e1) = e2
    | epred6_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_56,c_0_477]) ).

cnf(c_0_482,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e0,e2) = e3
    | op(e2,e3) = e1
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_479]),c_0_95]),c_0_480]) ).

cnf(c_0_483,plain,
    ( op(e1,e1) = e2
    | op(e3,e0) = e0
    | op(e1,e0) = e1
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_120,c_0_372]) ).

cnf(c_0_484,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_485,plain,
    ( op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_481,c_0_393]) ).

cnf(c_0_486,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred6_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_276,c_0_482]) ).

cnf(c_0_487,plain,
    ( op(e1,e0) = e1
    | op(e3,e0) = e0
    | epred6_0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_133,c_0_483]) ).

cnf(c_0_488,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_489,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e3,e2) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_389]) ).

cnf(c_0_490,plain,
    ( op(e3,e2) = e2
    | op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e1
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_486,c_0_393]) ).

cnf(c_0_491,plain,
    ( op(e0,e2) != e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_80,c_0_224]) ).

cnf(c_0_492,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_493,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_105]) ).

cnf(c_0_494,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_489]),c_0_467]) ).

cnf(c_0_495,plain,
    ( op(e2,e3) = e1
    | op(e2,e0) = e3
    | op(e2,e3) = e3
    | epred6_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_160,c_0_490]) ).

cnf(c_0_496,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e3,e0) = e0
    | epred6_0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_425]) ).

cnf(c_0_497,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | op(e0,e2) = e0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_498,plain,
    ( op(e2,e1) = e2
    | epred6_0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_98,c_0_494]) ).

cnf(c_0_499,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e3) = e1
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_495,c_0_467]) ).

cnf(c_0_500,plain,
    ( op(e2,e1) = e2
    | epred6_0
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_75,c_0_494]) ).

cnf(c_0_501,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e0
    | op(e0,e3) = e1
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_497]),c_0_112]) ).

cnf(c_0_502,plain,
    ( op(e2,e3) = e1
    | op(e2,e1) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_500]) ).

cnf(c_0_503,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred6_0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_177,c_0_501]) ).

cnf(c_0_504,plain,
    ( op(e2,e3) = e1
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_502]),c_0_467]) ).

cnf(c_0_505,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_503,c_0_504]) ).

cnf(c_0_506,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_90,c_0_379]) ).

cnf(c_0_507,plain,
    ( op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred6_0
    | op(e3,e3) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_505]),c_0_103]) ).

cnf(c_0_508,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_504]),c_0_324]) ).

fof(c_0_509,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) = 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(e0,e2) = 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(e0,e3) = 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(e1,e0) = 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(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) = 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(e1,e3) = 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 ) )
      | ( op(e2,e0) = 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(e2,e1) = 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 ) ) ) ),
    introduced(definition) ).

cnf(c_0_510,plain,
    ( op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred6_0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_129,c_0_505]) ).

cnf(c_0_511,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e2
    | op(e2,e0) = e3
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_506,c_0_504]) ).

cnf(c_0_512,plain,
    ( op(e3,e3) = e2
    | op(e3,e0) = e2
    | op(e2,e0) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_507,c_0_508]) ).

fof(c_0_513,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) = 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 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_302]),c_0_509]) ).

cnf(c_0_514,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_114]) ).

cnf(c_0_515,plain,
    ( op(e2,e0) = e2
    | op(e3,e3) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_512]),c_0_88]),c_0_508]) ).

fof(c_0_516,plain,
    ( ( op(e2,e3) = e3
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e2,e2) = e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e2
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e2
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e3
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e2
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e2,e2) != e2
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) = e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e2) != e2
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred5_0
      | ~ epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_513])]) ).

cnf(c_0_517,plain,
    ( op(e2,e0) = e2
    | op(e2,e0) = e3
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_514]),c_0_515]) ).

cnf(c_0_518,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_519,plain,
    ( op(e3,e3) != e1
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_65]) ).

cnf(c_0_520,plain,
    ( epred5_0
    | op(e2,e2) != e2
    | op(e2,e2) != e2
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_521,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_517]) ).

cnf(c_0_522,plain,
    ( op(e3,e2) = e0
    | op(e3,e0) = e0
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_518]),c_0_103]),c_0_519]) ).

cnf(c_0_523,plain,
    ( epred5_0
    | op(e0,e0) != e2
    | op(e0,e2) != e0
    | op(e0,e0) != e2
    | op(e0,e2) != e0
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_524,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e2
    | epred5_0
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_525,plain,
    ( epred5_0
    | op(e2,e2) != e2
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_520]) ).

cnf(c_0_526,plain,
    ( op(e2,e0) = e2
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_521]),c_0_467]) ).

cnf(c_0_527,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e0) = e0
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_67]) ).

cnf(c_0_528,plain,
    ( epred5_0
    | op(e0,e0) != e2
    | op(e0,e2) != e0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_523]) ).

cnf(c_0_529,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_418,c_0_76]) ).

cnf(c_0_530,plain,
    ( op(e2,e3) = e3
    | epred5_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_531,plain,
    epred6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_526]),c_0_467]) ).

cnf(c_0_532,plain,
    ( epred5_0
    | op(e3,e3) != e2
    | op(e3,e2) != e3
    | op(e3,e3) != e2
    | op(e3,e2) != e3
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_533,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e3) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_336]),c_0_88]),c_0_353]) ).

cnf(c_0_534,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_354]),c_0_114]) ).

cnf(c_0_535,plain,
    ( epred5_0
    | op(e0,e0) != e2
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_528,c_0_492]) ).

cnf(c_0_536,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_529,c_0_333]) ).

cnf(c_0_537,plain,
    ( op(e2,e3) = e3
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_531])]) ).

cnf(c_0_538,plain,
    ( epred5_0
    | op(e3,e2) != e3
    | op(e3,e3) != e2
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_532]) ).

cnf(c_0_539,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_534]),c_0_114]) ).

cnf(c_0_540,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_541,plain,
    ( epred5_0
    | op(e2,e2) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_525,c_0_531])]) ).

cnf(c_0_542,plain,
    ( op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred5_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_536]),c_0_525]) ).

cnf(c_0_543,plain,
    ( epred5_0
    | op(e2,e2) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_537]),c_0_88]) ).

cnf(c_0_544,plain,
    ( epred5_0
    | op(e3,e3) != e2
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_538,c_0_337]) ).

cnf(c_0_545,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e3) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_539]),c_0_540]) ).

cnf(c_0_546,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_537]),c_0_88]),c_0_103]),c_0_95]),c_0_541]) ).

cnf(c_0_547,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_246]) ).

cnf(c_0_548,plain,
    ( op(e2,e2) = e0
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_542,c_0_531])]),c_0_543]) ).

cnf(c_0_549,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | epred5_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_545]) ).

cnf(c_0_550,plain,
    ( op(e2,e2) = e0
    | epred5_0
    | op(op(e1,e2),e2) != e3
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_193,c_0_546]) ).

cnf(c_0_551,plain,
    ( op(e2,e2) = e0
    | op(e0,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_430,c_0_546]) ).

cnf(c_0_552,plain,
    ( op(e0,e2) = e2
    | op(e2,e2) = e0
    | op(e0,e2) = e3
    | op(e0,e2) = e1
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_105]),c_0_88]),c_0_114]) ).

cnf(c_0_553,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_531])]) ).

fof(c_0_554,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(fof_nnf,[status(thm)],[ax13]) ).

cnf(c_0_555,plain,
    ( op(e3,e2) = e0
    | op(e0,e2) = e0
    | op(e2,e2) = e0
    | epred5_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_550,c_0_200]) ).

cnf(c_0_556,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e2,e2) = e0
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_112]),c_0_105]),c_0_95]) ).

cnf(c_0_557,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred5_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_160,c_0_553]) ).

cnf(c_0_558,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_554]) ).

cnf(c_0_559,plain,
    ( op(e2,e2) = e0
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_546]) ).

cnf(c_0_560,plain,
    ( op(e0,e2) = e2
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_103]) ).

cnf(c_0_561,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e2) = e0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_557,c_0_546]) ).

cnf(c_0_562,plain,
    ( op(e2,e2) = e0
    | epred5_0
    | op(op(e1,e2),e2) != e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_558,c_0_546]) ).

fof(c_0_563,plain,
    ( e1 != op(e0,e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(fof_nnf,[status(thm)],[ax15]) ).

cnf(c_0_564,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_565,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e2,e2) = e0
    | epred5_0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_211,c_0_559]) ).

cnf(c_0_566,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_560]),c_0_561]) ).

cnf(c_0_567,plain,
    ( op(e3,e2) = e3
    | op(e0,e2) = e3
    | op(e2,e2) = e0
    | epred5_0
    | op(e3,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_41]),c_0_543]) ).

cnf(c_0_568,plain,
    ( e1 != op(e0,e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(split_conjunct,[status(thm)],[c_0_563]) ).

cnf(c_0_569,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_28]),c_0_95]) ).

cnf(c_0_570,plain,
    ( op(e2,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_565,c_0_566]) ).

cnf(c_0_571,plain,
    ( op(e2,e2) = e0
    | op(e0,e2) = e3
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_566]),c_0_103]) ).

cnf(c_0_572,plain,
    ( op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e0,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(op(e1,e0),e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_28]) ).

cnf(c_0_573,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_34,c_0_488]) ).

cnf(c_0_574,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_570]),c_0_571]) ).

cnf(c_0_575,plain,
    ( epred5_0
    | op(e0,e0) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_535,c_0_531])]) ).

cnf(c_0_576,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_572,c_0_28]) ).

cnf(c_0_577,plain,
    ( op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_91]),c_0_575]) ).

cnf(c_0_578,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_579,plain,
    ( op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e0,e0) = e3
    | op(e2,e0) = e3
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_577]),c_0_88]),c_0_105]) ).

cnf(c_0_580,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | epred5_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_578,c_0_579]) ).

cnf(c_0_581,plain,
    ( op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e3
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_571]),c_0_91]) ).

cnf(c_0_582,plain,
    ( epred5_0
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_583,plain,
    ( op(e2,e0) = e3
    | epred5_0
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_581]),c_0_107]) ).

cnf(c_0_584,plain,
    ( epred5_0
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_582]) ).

cnf(c_0_585,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_129,c_0_354]) ).

cnf(c_0_586,plain,
    ( op(e2,e2) = e0
    | op(e2,e0) = e3
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_583,c_0_546]) ).

cnf(c_0_587,plain,
    ( epred5_0
    | op(e1,e1) != e2
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_584,c_0_151]) ).

cnf(c_0_588,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e2) = e2
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_585,c_0_91]) ).

cnf(c_0_589,plain,
    ( op(e2,e2) = e0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_586]),c_0_537]) ).

cnf(c_0_590,plain,
    ( epred5_0
    | op(e3,e3) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_531])]) ).

cnf(c_0_591,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e0) = e2
    | epred5_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_587,c_0_268]) ).

cnf(c_0_592,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e3
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_589]),c_0_590]) ).

cnf(c_0_593,plain,
    ( op(e1,e0) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_531])]) ).

cnf(c_0_594,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_361,c_0_592]) ).

cnf(c_0_595,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | epred5_0
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_57,c_0_593]) ).

cnf(c_0_596,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | epred5_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_68,c_0_593]) ).

fof(c_0_597,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(fof_nnf,[status(thm)],[ax7]) ).

cnf(c_0_598,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_276,c_0_424]) ).

cnf(c_0_599,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_594]),c_0_537]) ).

cnf(c_0_600,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_136,c_0_119]) ).

cnf(c_0_601,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_602,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_603,plain,
    ( op(e1,e2) = e2
    | op(e1,e3) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_577]),c_0_596]) ).

cnf(c_0_604,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_605,plain,
    ( op(e3,e2) = e2
    | op(e0,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_598,c_0_599]) ).

cnf(c_0_606,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_600,c_0_601]) ).

cnf(c_0_607,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_34,c_0_128]) ).

cnf(c_0_608,plain,
    ( op(e1,e2) = e2
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e0,e3) = e0
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_114]) ).

cnf(c_0_609,plain,
    ( epred5_0
    | op(op(e0,e2),e2) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_604,c_0_589]) ).

cnf(c_0_610,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e3,e2) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_605]),c_0_589]) ).

cnf(c_0_611,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_133,c_0_606]) ).

cnf(c_0_612,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_607,c_0_601]),c_0_112]) ).

cnf(c_0_613,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_118,c_0_606]) ).

cnf(c_0_614,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | epred5_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_535,c_0_233]) ).

cnf(c_0_615,plain,
    ( op(e0,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | epred5_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_608]) ).

cnf(c_0_616,plain,
    ( op(e3,e2) = e2
    | op(e0,e2) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_610]),c_0_599]) ).

cnf(c_0_617,plain,
    ( op(e0,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | epred5_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_211,c_0_608]) ).

cnf(c_0_618,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e0) = e3
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_45,c_0_51]) ).

cnf(c_0_619,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_612]),c_0_613]) ).

cnf(c_0_620,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | op(e3,e0) = e3
    | op(e3,e2) = e0
    | op(e3,e0) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_317]),c_0_103]),c_0_65]) ).

cnf(c_0_621,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e1
    | op(e0,e2) = e1
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_614,c_0_531])]) ).

cnf(c_0_622,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e0,e3) = e0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_616]),c_0_617]) ).

cnf(c_0_623,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_618]),c_0_103]),c_0_95]) ).

cnf(c_0_624,plain,
    ( op(e1,e2) = e2
    | op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_603]),c_0_105]) ).

cnf(c_0_625,plain,
    ( op(e1,e1) = e2
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_45,c_0_619]) ).

cnf(c_0_626,plain,
    ( op(e2,e0) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e3
    | op(e3,e3) = e3
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_577]),c_0_88]),c_0_114]) ).

cnf(c_0_627,plain,
    ( epred5_0
    | op(op(e0,e2),e2) != e3
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_252,c_0_589]) ).

cnf(c_0_628,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_622]),c_0_114]),c_0_112]) ).

cnf(c_0_629,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e3
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_603]),c_0_105]),c_0_88]),c_0_114]) ).

cnf(c_0_630,plain,
    ( op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred5_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_624]) ).

cnf(c_0_631,plain,
    ( op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred5_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_211,c_0_624]) ).

cnf(c_0_632,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_146,c_0_623]) ).

cnf(c_0_633,plain,
    ( op(e1,e3) = e1
    | op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | epred5_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_587,c_0_625]) ).

cnf(c_0_634,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e0
    | op(e2,e0) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_626]),c_0_537]) ).

cnf(c_0_635,plain,
    ( op(e2,e0) = e2
    | epred5_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_296,c_0_577]) ).

cnf(c_0_636,plain,
    ( op(e0,e2) = e2
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | epred5_0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_627,c_0_628]) ).

cnf(c_0_637,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_629]),c_0_574]) ).

cnf(c_0_638,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_616]),c_0_631]) ).

cnf(c_0_639,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e3) = e3
    | op(e1,e3) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_601]),c_0_112]),c_0_95]) ).

cnf(c_0_640,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e3) = e1
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_633,c_0_531])]) ).

cnf(c_0_641,plain,
    ( op(e2,e0) = e2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_599]),c_0_95]),c_0_112]),c_0_635]) ).

cnf(c_0_642,plain,
    ( op(e1,e2) = e2
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e0,e2) = e2
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_636,c_0_637]) ).

cnf(c_0_643,plain,
    ( op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred5_0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_46,c_0_638]) ).

cnf(c_0_644,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_640]),c_0_95]),c_0_112]) ).

cnf(c_0_645,plain,
    ( epred5_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_107,c_0_641]) ).

cnf(c_0_646,plain,
    ( op(e0,e2) = e2
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_642]),c_0_616]) ).

cnf(c_0_647,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_622]),c_0_112]) ).

cnf(c_0_648,plain,
    ( op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e2,e3) = e1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_644]),c_0_645]) ).

cnf(c_0_649,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e3,e2) = e1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_646]),c_0_105]),c_0_645]) ).

cnf(c_0_650,plain,
    ( op(e2,e3) = e1
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | epred5_0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_108,c_0_647]) ).

cnf(c_0_651,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e3,e2) = e1
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_649]),c_0_112]) ).

cnf(c_0_652,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e2,e3) = e1
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_650,c_0_651]) ).

cnf(c_0_653,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0
    | epred5_0
    | op(op(e0,e3),e3) != e2
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_217,c_0_652]) ).

cnf(c_0_654,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | epred5_0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_653,c_0_638]) ).

cnf(c_0_655,plain,
    ( op(e1,e2) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e3,e3) = e1
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_654,c_0_603]) ).

fof(c_0_656,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) = 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(e0,e2) = 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(e0,e3) = 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(e1,e0) = 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(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) = 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(e1,e3) = 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) ).

cnf(c_0_657,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | epred5_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_655]) ).

cnf(c_0_658,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | epred5_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_211,c_0_655]) ).

fof(c_0_659,plain,
    ( epred5_0
   => ( epred4_0
      | ( op(e2,e0) = 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(e2,e1) = 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 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_509]),c_0_656]) ).

cnf(c_0_660,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e3,e3) = e1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_616]),c_0_658]) ).

fof(c_0_661,plain,
    ( ( op(e2,e1) = e1
      | op(e2,e0) = e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e2,e0) = e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e2,e0) = e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e2
      | op(e2,e0) = e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e2,e0) = e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e2
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e0,e0) != e2
      | op(e0,e2) != e0
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e2
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e1,e1) != e2
      | op(e1,e2) != e1
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e1
      | op(e2,e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e2,e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e2,e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e2
      | op(e2,e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e2,e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e1) = e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) != e0
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e1,e1) != e2
      | op(e1,e2) != e1
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e2,e2) != e2
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred4_0
      | ~ epred5_0 )
    & ( op(e3,e3) != e2
      | op(e3,e2) != e3
      | op(e3,e3) != e2
      | op(e3,e2) != e3
      | epred4_0
      | ~ epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_659])]) ).

cnf(c_0_662,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_660]),c_0_112]) ).

cnf(c_0_663,plain,
    ( epred4_0
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_664,plain,
    ( op(e2,e3) = e0
    | epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_662]),c_0_95]) ).

cnf(c_0_665,plain,
    ( epred4_0
    | op(e1,e1) != e2
    | op(e1,e2) != e1
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_663]) ).

cnf(c_0_666,plain,
    ( op(e2,e1) = e1
    | op(e2,e0) = e0
    | epred4_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_667,plain,
    epred5_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_664]),c_0_103]) ).

cnf(c_0_668,plain,
    ( epred4_0
    | op(e1,e1) != e2
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_665,c_0_151]) ).

cnf(c_0_669,plain,
    ( epred4_0
    | op(e2,e2) != e2
    | op(e2,e2) != e2
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_670,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_319,c_0_119]) ).

cnf(c_0_671,plain,
    ( op(e2,e1) = e1
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_666,c_0_667])]) ).

cnf(c_0_672,plain,
    ( epred4_0
    | op(e1,e1) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_667])]) ).

cnf(c_0_673,plain,
    ( epred4_0
    | op(e2,e2) != e2
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_669]) ).

cnf(c_0_674,plain,
    ( op(e2,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_671]),c_0_672]) ).

cnf(c_0_675,plain,
    ( epred4_0
    | op(e2,e2) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_673,c_0_667])]) ).

cnf(c_0_676,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_330]) ).

cnf(c_0_677,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e0) = e2
    | epred4_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_668,c_0_268]) ).

cnf(c_0_678,plain,
    ( op(e1,e1) = e3
    | op(e2,e0) = e0
    | op(e1,e0) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_120,c_0_674]) ).

cnf(c_0_679,plain,
    ( op(e2,e0) = e0
    | op(e2,e3) = e2
    | op(e2,e0) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_671]),c_0_105]),c_0_675]) ).

cnf(c_0_680,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e0
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_676,c_0_190]) ).

cnf(c_0_681,plain,
    ( op(e1,e0) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_677,c_0_667])]) ).

cnf(c_0_682,plain,
    ( op(e1,e0) = e1
    | op(e2,e0) = e0
    | op(e1,e3) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_678]) ).

cnf(c_0_683,plain,
    ( op(e2,e0) = e2
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_679]),c_0_103]),c_0_114]),c_0_675]) ).

cnf(c_0_684,plain,
    ( op(e2,e0) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_671]),c_0_112]),c_0_105]),c_0_95]) ).

cnf(c_0_685,plain,
    ( epred4_0
    | op(e3,e3) != e2
    | op(e3,e2) != e3
    | op(e3,e3) != e2
    | op(e3,e2) != e3
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_686,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_681]),c_0_114]),c_0_105]) ).

cnf(c_0_687,plain,
    ( op(e1,e3) = e1
    | op(e2,e0) = e0
    | op(e1,e3) = e2
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_682]),c_0_105]) ).

cnf(c_0_688,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e3
    | op(e2,e3) = e2
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_684]),c_0_114]) ).

cnf(c_0_689,plain,
    ( op(e2,e3) = e3
    | epred4_0
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_683]),c_0_83]) ).

cnf(c_0_690,plain,
    ( epred4_0
    | op(e3,e2) != e3
    | op(e3,e3) != e2
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_685]) ).

cnf(c_0_691,plain,
    ( op(e1,e3) = e2
    | op(e2,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_687]),c_0_105]),c_0_112]) ).

cnf(c_0_692,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_688]),c_0_114]),c_0_112]),c_0_103]),c_0_689]),c_0_675]) ).

cnf(c_0_693,plain,
    ( op(e1,e0) = e1
    | op(e2,e0) = e0
    | epred4_0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_311,c_0_678]) ).

cnf(c_0_694,plain,
    ( epred4_0
    | op(e3,e3) != e2
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_690,c_0_337]) ).

cnf(c_0_695,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e2,e0) = e0
    | epred4_0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_154,c_0_691]) ).

cnf(c_0_696,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_692]),c_0_88]),c_0_103]),c_0_95]),c_0_675]) ).

cnf(c_0_697,plain,
    ( op(e2,e0) = e0
    | epred4_0
    | op(e2,e2) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_671]),c_0_105]) ).

cnf(c_0_698,plain,
    ( op(e2,e0) = e0
    | op(e1,e0) = e1
    | epred4_0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_693,c_0_53]) ).

cnf(c_0_699,plain,
    ( epred4_0
    | op(e3,e3) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_694,c_0_667])]) ).

cnf(c_0_700,plain,
    ( op(e2,e0) = e0
    | epred4_0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_671]) ).

cnf(c_0_701,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e1
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_62,c_0_227]) ).

cnf(c_0_702,plain,
    ( op(e2,e0) = e0
    | op(e0,e0) = e0
    | op(e3,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_671]),c_0_675]) ).

cnf(c_0_703,plain,
    ( op(e1,e1) = e3
    | op(e2,e0) = e0
    | epred4_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_136,c_0_674]) ).

cnf(c_0_704,plain,
    ( op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_696]),c_0_697]) ).

cnf(c_0_705,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e0
    | op(e1,e0) = e1
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_67]),c_0_699]) ).

cnf(c_0_706,plain,
    ( op(e1,e1) = e3
    | op(e2,e0) = e0
    | op(e0,e3) = e1
    | op(e3,e3) = e1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_674]),c_0_114]),c_0_103]),c_0_700]) ).

cnf(c_0_707,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_250,c_0_239]) ).

cnf(c_0_708,plain,
    ( op(e2,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_701,c_0_671]) ).

cnf(c_0_709,plain,
    ( op(e3,e3) = e3
    | op(e2,e0) = e0
    | epred4_0
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_702]) ).

cnf(c_0_710,plain,
    ( op(e1,e0) = e1
    | op(e2,e0) = e0
    | epred4_0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_133,c_0_678]) ).

cnf(c_0_711,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e3
    | op(e2,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_96,c_0_333]) ).

cnf(c_0_712,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_333]),c_0_675]) ).

cnf(c_0_713,plain,
    ( epred4_0
    | op(e0,e0) != e2
    | op(e0,e2) != e0
    | op(e0,e0) != e2
    | op(e0,e2) != e0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_714,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | op(e1,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_715,plain,
    ( op(e2,e0) = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e3
    | epred4_0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_27,c_0_705]) ).

cnf(c_0_716,plain,
    ( op(e3,e3) = e1
    | op(e0,e3) = e1
    | op(e2,e0) = e0
    | op(e1,e3) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_706]) ).

cnf(c_0_717,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_707,c_0_67]) ).

cnf(c_0_718,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e3,e3) = e3
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_702,c_0_708]),c_0_112]) ).

cnf(c_0_719,plain,
    ( op(e3,e0) = e2
    | op(e3,e3) = e0
    | op(e2,e0) = e0
    | op(e3,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_295]),c_0_699]) ).

cnf(c_0_720,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_618]),c_0_95]) ).

cnf(c_0_721,plain,
    ( op(e2,e0) = e0
    | op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_671]),c_0_95]) ).

cnf(c_0_722,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_712]),c_0_103]),c_0_675]) ).

cnf(c_0_723,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_600,c_0_192]) ).

cnf(c_0_724,plain,
    ( epred4_0
    | op(e0,e0) != e2
    | op(e0,e2) != e0
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_713]) ).

cnf(c_0_725,plain,
    ( op(e2,e0) = e0
    | op(e2,e2) = e0
    | op(e1,e2) = e2
    | epred4_0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_311,c_0_714]) ).

cnf(c_0_726,plain,
    ( op(e0,e3) = e1
    | op(e3,e3) = e1
    | op(e3,e3) = e3
    | op(e3,e3) = e0
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_715,c_0_716]) ).

cnf(c_0_727,plain,
    ( op(e2,e0) = e0
    | op(e0,e2) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_718]),c_0_112]),c_0_105]),c_0_95]),c_0_699]) ).

cnf(c_0_728,plain,
    ( op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e3,e3) = e0
    | epred4_0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_129,c_0_719]) ).

cnf(c_0_729,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e3,e3) = e3
    | op(e3,e3) = e0
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_715,c_0_720]) ).

cnf(c_0_730,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_721]),c_0_114]),c_0_722]) ).

cnf(c_0_731,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_133,c_0_723]) ).

cnf(c_0_732,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_192]),c_0_112]) ).

cnf(c_0_733,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_118,c_0_723]) ).

cnf(c_0_734,plain,
    ( epred4_0
    | op(e0,e0) != e2
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_724,c_0_492]) ).

cnf(c_0_735,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e0
    | epred4_0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_725,c_0_53]) ).

cnf(c_0_736,plain,
    ( op(e2,e0) = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e3
    | op(e3,e3) = e1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_726]),c_0_727]) ).

cnf(c_0_737,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e3
    | epred4_0
    | op(e2,e2) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_91]),c_0_114]) ).

cnf(c_0_738,plain,
    ( op(e2,e0) = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e3
    | op(e1,e2) = e3
    | epred4_0
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_154,c_0_729]) ).

cnf(c_0_739,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_730]),c_0_88]),c_0_722]) ).

cnf(c_0_740,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_731,c_0_732]),c_0_733]) ).

cnf(c_0_741,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e0
    | op(e2,e3) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_117]),c_0_95]),c_0_103]),c_0_125]) ).

cnf(c_0_742,plain,
    ( op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_734,c_0_536]),c_0_673]) ).

cnf(c_0_743,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_62,c_0_328]) ).

cnf(c_0_744,plain,
    ( op(e2,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_331,c_0_671]) ).

cnf(c_0_745,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e0
    | op(e2,e0) = e0
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_736]),c_0_737]) ).

cnf(c_0_746,plain,
    ( op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e3,e3) = e3
    | op(e3,e3) = e0
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_738,c_0_739]) ).

cnf(c_0_747,plain,
    ( op(e1,e1) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_45,c_0_740]) ).

cnf(c_0_748,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_696]),c_0_88]),c_0_114]),c_0_105]) ).

cnf(c_0_749,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e0,e3) = e2
    | op(e0,e2) = e2
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_742,c_0_667])]) ).

cnf(c_0_750,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | epred4_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_694,c_0_545]) ).

fof(c_0_751,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(fof_nnf,[status(thm)],[ax9]) ).

cnf(c_0_752,plain,
    ( op(e2,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e1) = e2
    | op(e0,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_743,c_0_671]) ).

cnf(c_0_753,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e2,e0) = e0
    | epred4_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_484,c_0_744]) ).

cnf(c_0_754,plain,
    ( op(e2,e2) = e3
    | op(e2,e0) = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_746]),c_0_88]) ).

cnf(c_0_755,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | epred4_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_668,c_0_747]) ).

cnf(c_0_756,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | epred4_0
    | op(op(e1,e2),e2) != e3
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_193,c_0_748]) ).

cnf(c_0_757,plain,
    ( op(e0,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | op(e0,e2) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_749]),c_0_105]),c_0_88]),c_0_114]) ).

cnf(c_0_758,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_750,c_0_667])]) ).

cnf(c_0_759,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_760,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e2,e0) = e0
    | epred4_0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_752]) ).

cnf(c_0_761,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_753,c_0_754]) ).

cnf(c_0_762,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e3) = e1
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_755,c_0_667])]) ).

cnf(c_0_763,plain,
    ( op(e3,e2) = e0
    | op(e0,e2) = e0
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_756,c_0_200]) ).

cnf(c_0_764,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e0,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_757]),c_0_748]) ).

cnf(c_0_765,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred4_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_160,c_0_758]) ).

cnf(c_0_766,plain,
    ( op(e1,e1) = e3
    | op(e2,e0) = e0
    | epred4_0
    | op(op(e0,e1),e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_759,c_0_674]) ).

cnf(c_0_767,plain,
    ( op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e0,e1) = e2
    | op(e0,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_760,c_0_702]) ).

cnf(c_0_768,plain,
    ( op(e3,e1) = e2
    | op(e2,e0) = e0
    | op(e2,e2) = e3
    | op(e3,e3) = e3
    | epred4_0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_52,c_0_761]) ).

cnf(c_0_769,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_762]),c_0_192]) ).

cnf(c_0_770,plain,
    ( op(e0,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_764]),c_0_103]) ).

cnf(c_0_771,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e2) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_765,c_0_748]) ).

cnf(c_0_772,plain,
    ( op(e0,e1) = e2
    | op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e1,e1) = e3
    | epred4_0
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_766,c_0_767]) ).

cnf(c_0_773,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e0) = e0
    | op(e3,e1) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_768,c_0_65]),c_0_754]) ).

cnf(c_0_774,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred4_0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_211,c_0_769]) ).

cnf(c_0_775,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_770]),c_0_771]) ).

cnf(c_0_776,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e3
    | epred4_0
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_769]) ).

cnf(c_0_777,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | epred4_0
    | op(op(e1,e2),e2) != e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_558,c_0_748]) ).

cnf(c_0_778,plain,
    ( op(e2,e2) = e3
    | op(e1,e1) = e3
    | op(e2,e0) = e0
    | op(e3,e3) = e3
    | op(e0,e1) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_772,c_0_773]) ).

cnf(c_0_779,plain,
    ( op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_775]),c_0_776]) ).

cnf(c_0_780,plain,
    ( op(e3,e2) = e3
    | op(e0,e2) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e3
    | epred4_0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_777,c_0_41]) ).

cnf(c_0_781,plain,
    ( op(e0,e1) = e2
    | op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_778]),c_0_767]) ).

cnf(c_0_782,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e3
    | epred4_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_208,c_0_779]) ).

cnf(c_0_783,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e0,e2) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_775]),c_0_103]) ).

cnf(c_0_784,plain,
    ( op(e2,e0) = e0
    | epred4_0
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_98,c_0_671]) ).

cnf(c_0_785,plain,
    ( op(e2,e2) = e3
    | op(e2,e0) = e0
    | op(e3,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_781]),c_0_773]) ).

cnf(c_0_786,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e3
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_782,c_0_783]) ).

cnf(c_0_787,plain,
    ( epred4_0
    | op(e0,e0) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_734,c_0_667])]) ).

cnf(c_0_788,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e0) = e2
    | op(e2,e3) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_157]),c_0_112]),c_0_675]) ).

cnf(c_0_789,plain,
    ( op(e2,e0) = e0
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_785]),c_0_739]) ).

cnf(c_0_790,plain,
    ( op(e2,e2) = e3
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_786]),c_0_91]),c_0_787]) ).

cnf(c_0_791,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e2) = e1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_789]),c_0_114]),c_0_43]) ).

cnf(c_0_792,plain,
    ( op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e0) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_315]),c_0_112]),c_0_522]) ).

cnf(c_0_793,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e3
    | epred4_0
    | op(e3,e3) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_790]),c_0_88]) ).

cnf(c_0_794,plain,
    ( op(e2,e2) = e1
    | op(e2,e3) = e2
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_791]),c_0_105]),c_0_95]) ).

cnf(c_0_795,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e3
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_790]),c_0_105]),c_0_114]),c_0_793]) ).

cnf(c_0_796,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_794]),c_0_88]),c_0_114]),c_0_105]) ).

cnf(c_0_797,plain,
    ( op(e3,e2) = e0
    | epred4_0
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_795]),c_0_89]),c_0_107]) ).

cnf(c_0_798,plain,
    ( op(e2,e2) = e3
    | epred4_0
    | op(op(e1,e2),e2) != e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_558,c_0_796]) ).

cnf(c_0_799,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_797,c_0_796]) ).

cnf(c_0_800,plain,
    ( op(e1,e2) = e2
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_779]),c_0_799]) ).

cnf(c_0_801,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_320,c_0_309]) ).

cnf(c_0_802,plain,
    ( op(e2,e2) = e3
    | epred4_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_800]) ).

cnf(c_0_803,plain,
    ( op(e3,e0) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_801,c_0_76]) ).

cnf(c_0_804,plain,
    ( op(e2,e2) = e3
    | epred4_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_211,c_0_800]) ).

cnf(c_0_805,plain,
    ( op(e2,e2) = e3
    | op(e0,e3) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_796]),c_0_802]),c_0_787]) ).

cnf(c_0_806,plain,
    ( op(e2,e2) = e3
    | op(e3,e0) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_796]),c_0_699]),c_0_804]) ).

cnf(c_0_807,plain,
    ( op(e2,e2) = e3
    | op(e0,e2) = e3
    | op(e0,e2) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_805]),c_0_105]),c_0_88]),c_0_114]) ).

cnf(c_0_808,plain,
    ( op(e2,e2) = e3
    | op(e2,e0) = e1
    | op(e0,e0) = e3
    | op(e2,e0) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_806]),c_0_88]),c_0_105]) ).

cnf(c_0_809,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_807]),c_0_796]) ).

cnf(c_0_810,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e1
    | op(e2,e2) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_808]),c_0_809]) ).

fof(c_0_811,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(fof_nnf,[status(thm)],[ax24]) ).

cnf(c_0_812,plain,
    ( op(e2,e2) = e3
    | op(e2,e0) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_810]),c_0_112]) ).

cnf(c_0_813,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_814,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_811]) ).

cnf(c_0_815,plain,
    ( op(e2,e2) = e3
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_812]),c_0_103]) ).

cnf(c_0_816,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_578,c_0_813]) ).

cnf(c_0_817,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_813]) ).

cnf(c_0_818,plain,
    ( epred4_0
    | op(op(e3,e2),e2) != e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_814,c_0_815]) ).

cnf(c_0_819,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_424]),c_0_817]) ).

cnf(c_0_820,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred4_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_818,c_0_758]) ).

cnf(c_0_821,plain,
    ( epred4_0
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_789]),c_0_114]),c_0_106]) ).

cnf(c_0_822,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_578,c_0_819]) ).

cnf(c_0_823,plain,
    ( op(e0,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e2) = e0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_200]),c_0_821]) ).

cnf(c_0_824,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_147,c_0_223]) ).

cnf(c_0_825,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | op(e0,e0) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_823]),c_0_114]),c_0_103]),c_0_787]) ).

cnf(c_0_826,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_824,c_0_309]) ).

cnf(c_0_827,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e0,e3) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_825]) ).

cnf(c_0_828,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e2) = e2
    | epred4_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_734,c_0_826]),c_0_694]) ).

fof(c_0_829,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(fof_nnf,[status(thm)],[ax26]) ).

cnf(c_0_830,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_827]),c_0_823]) ).

cnf(c_0_831,plain,
    ( op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_828,c_0_667])]) ).

cnf(c_0_832,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(split_conjunct,[status(thm)],[c_0_829]) ).

cnf(c_0_833,plain,
    ( op(e1,e3) = e1
    | op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | epred4_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_668,c_0_625]) ).

cnf(c_0_834,plain,
    ( op(e2,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | epred4_0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_695,c_0_43]) ).

cnf(c_0_835,plain,
    ( op(e3,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_774,c_0_830]) ).

cnf(c_0_836,plain,
    ( op(e0,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e2) = e2
    | epred4_0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_177,c_0_831]) ).

cnf(c_0_837,plain,
    ( epred4_0
    | op(op(e3,e2),e2) != e1
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_832,c_0_815]) ).

cnf(c_0_838,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e3) = e1
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_833,c_0_667])]) ).

cnf(c_0_839,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_834,c_0_815]) ).

cnf(c_0_840,plain,
    ( op(e1,e2) = e2
    | op(e3,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_835]),c_0_815]) ).

cnf(c_0_841,plain,
    ( op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e0,e2) = e2
    | epred4_0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_836,c_0_43]) ).

cnf(c_0_842,plain,
    ( op(e3,e2) = e2
    | epred4_0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_837,c_0_830]) ).

cnf(c_0_843,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_838]),c_0_95]),c_0_112]) ).

fof(c_0_844,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(fof_nnf,[status(thm)],[ax28]) ).

cnf(c_0_845,plain,
    ( op(e1,e1) = e3
    | op(e2,e0) = e0
    | epred4_0
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_674]) ).

cnf(c_0_846,plain,
    ( op(e1,e2) = e2
    | op(e2,e0) = e0
    | op(e1,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_839]) ).

cnf(c_0_847,plain,
    ( op(e3,e2) = e2
    | epred4_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_840]) ).

cnf(c_0_848,plain,
    ( op(e0,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_841,c_0_815]) ).

cnf(c_0_849,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_842,c_0_843]) ).

cnf(c_0_850,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(split_conjunct,[status(thm)],[c_0_844]) ).

cnf(c_0_851,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e2,e0) = e0
    | op(e1,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_845,c_0_744]) ).

cnf(c_0_852,plain,
    ( op(e2,e0) = e0
    | op(e1,e2) = e2
    | op(e1,e3) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_846]) ).

cnf(c_0_853,plain,
    ( op(e3,e0) = e2
    | op(e3,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_847,c_0_848]) ).

cnf(c_0_854,plain,
    ( op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e3,e3) = e0
    | epred4_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_296,c_0_719]) ).

cnf(c_0_855,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_830,c_0_849]),c_0_112]),c_0_105]) ).

cnf(c_0_856,plain,
    ( op(e2,e0) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | epred4_0
    | op(op(e3,e1),e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_851]),c_0_744]) ).

cnf(c_0_857,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e1) = e2
    | epred4_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_668,c_0_465]) ).

cnf(c_0_858,plain,
    ( op(e1,e2) = e2
    | op(e2,e0) = e0
    | epred4_0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_81,c_0_852]) ).

cnf(c_0_859,plain,
    ( op(e3,e2) = e2
    | epred4_0
    | op(e3,e3) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_853]),c_0_88]) ).

cnf(c_0_860,plain,
    ( op(e3,e3) = e0
    | op(e2,e0) = e0
    | op(e3,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_854,c_0_855]),c_0_697]) ).

cnf(c_0_861,plain,
    ( op(e2,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_444,c_0_671]) ).

cnf(c_0_862,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e2,e0) = e0
    | epred4_0
    | op(e0,e1) != e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_744]),c_0_114]),c_0_103]) ).

cnf(c_0_863,plain,
    ( op(e0,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_857,c_0_667])]) ).

cnf(c_0_864,plain,
    ( op(e3,e3) = e3
    | op(e0,e2) = e1
    | op(e2,e0) = e0
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_858,c_0_718]) ).

cnf(c_0_865,plain,
    ( op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e3,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_859,c_0_860]) ).

cnf(c_0_866,plain,
    ( op(e3,e2) = e1
    | op(e2,e0) = e0
    | epred4_0
    | op(e3,e3) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_861]),c_0_95]),c_0_519]) ).

cnf(c_0_867,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_862,c_0_863]) ).

cnf(c_0_868,plain,
    ( op(e2,e0) = e0
    | op(e0,e2) = e1
    | op(e3,e3) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_864]),c_0_865]) ).

cnf(c_0_869,plain,
    ( op(e3,e3) = e3
    | op(e2,e0) = e0
    | op(e3,e2) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_866,c_0_860]) ).

cnf(c_0_870,plain,
    ( op(e3,e1) = e2
    | op(e2,e0) = e0
    | op(e2,e1) = e2
    | epred4_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_484,c_0_867]) ).

cnf(c_0_871,plain,
    ( op(e3,e3) = e3
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_868]),c_0_869]) ).

cnf(c_0_872,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e0
    | op(e3,e1) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_870,c_0_871]) ).

cnf(c_0_873,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e2
    | epred4_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_56,c_0_872]) ).

cnf(c_0_874,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_813]),c_0_105]) ).

cnf(c_0_875,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_855]),c_0_76]) ).

cnf(c_0_876,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_231,c_0_874]) ).

cnf(c_0_877,plain,
    ( op(e2,e0) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_875]),c_0_105]) ).

cnf(c_0_878,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e0) = e2
    | op(e1,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_151,c_0_268]) ).

cnf(c_0_879,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_34,c_0_564]) ).

cnf(c_0_880,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | epred4_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_734,c_0_233]) ).

cnf(c_0_881,plain,
    ( op(e0,e0) = e3
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_876,c_0_877]),c_0_787]) ).

cnf(c_0_882,plain,
    ( op(e1,e2) = e2
    | op(e1,e3) = e2
    | op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_878]),c_0_105]),c_0_879]) ).

cnf(c_0_883,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e1
    | op(e0,e2) = e1
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_880,c_0_667])]) ).

cnf(c_0_884,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_881]) ).

cnf(c_0_885,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e1,e2) = e2
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_154,c_0_882]) ).

cnf(c_0_886,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_884]),c_0_114]),c_0_112]) ).

cnf(c_0_887,plain,
    ( op(e1,e2) = e2
    | op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_885,c_0_43]) ).

cnf(c_0_888,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | epred4_0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_177,c_0_886]) ).

cnf(c_0_889,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_887,c_0_815]) ).

cnf(c_0_890,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_43]),c_0_815]) ).

cnf(c_0_891,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | epred4_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_211,c_0_889]) ).

cnf(c_0_892,plain,
    ( op(e3,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_842,c_0_890]),c_0_847]) ).

cnf(c_0_893,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e0,e3) = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_146,c_0_440]) ).

cnf(c_0_894,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_891,c_0_892]) ).

cnf(c_0_895,plain,
    ( op(e2,e2) = e0
    | op(e0,e3) = e2
    | op(e2,e3) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_893,c_0_786]),c_0_43]),c_0_699]) ).

cnf(c_0_896,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e0
    | op(e0,e0) = e3
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_843]),c_0_787]) ).

cnf(c_0_897,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | epred4_0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_578,c_0_894]) ).

cnf(c_0_898,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e0
    | op(e0,e2) = e3
    | op(e0,e2) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_895]),c_0_105]),c_0_88]),c_0_114]) ).

fof(c_0_899,plain,
    ( e3 != op(e0,e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0) ),
    inference(fof_nnf,[status(thm)],[ax29]) ).

cnf(c_0_900,plain,
    ( op(e0,e0) = e3
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred4_0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_231,c_0_896]) ).

cnf(c_0_901,plain,
    ( op(e0,e2) = e2
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_897,c_0_890]) ).

cnf(c_0_902,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e0
    | op(e2,e3) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_898]),c_0_696]) ).

cnf(c_0_903,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e0
    | epred4_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_46,c_0_895]) ).

cnf(c_0_904,plain,
    ( e3 != op(e0,e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0) ),
    inference(split_conjunct,[status(thm)],[c_0_899]) ).

cnf(c_0_905,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_900,c_0_877]) ).

cnf(c_0_906,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_901]),c_0_892]) ).

cnf(c_0_907,plain,
    ( op(e2,e3) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_902,c_0_890]),c_0_95]),c_0_903]),c_0_821]) ).

fof(c_0_908,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) = 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(e0,e2) = 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(e0,e3) = 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(e1,e0) = 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(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_909,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) = e1
    | epred4_0
    | op(op(e3,e0),e0) != e2
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_904,c_0_905]) ).

cnf(c_0_910,plain,
    ( op(e2,e0) = e1
    | epred4_0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_296,c_0_906]) ).

cnf(c_0_911,plain,
    ( epred4_0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_83,c_0_907]) ).

fof(c_0_912,plain,
    ( epred4_0
   => ( epred3_0
      | ( op(e1,e2) = 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(e1,e3) = 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_656]),c_0_908]) ).

cnf(c_0_913,plain,
    ( op(e2,e0) = e1
    | epred4_0
    | op(e1,e0) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_909,c_0_906]),c_0_910]),c_0_911]) ).

fof(c_0_914,plain,
    ( ( op(e1,e3) = e3
      | op(e1,e2) = e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e2) = e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e1
      | op(e1,e2) = e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e2) = e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e2) = e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e3
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e3
      | op(e1,e1) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e1) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e1) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e1) != e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e3
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e1
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e3) = e3
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e1) != e1
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred3_0
      | ~ epred4_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred3_0
      | ~ epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_912])]) ).

cnf(c_0_915,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e2,e0) = e1
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_913,c_0_681]) ).

cnf(c_0_916,plain,
    ( epred3_0
    | op(e1,e1) != e1
    | op(e1,e1) != e1
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_917,plain,
    ( op(e2,e0) = e1
    | op(e1,e2) = e2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_915]),c_0_907]) ).

cnf(c_0_918,plain,
    ( epred3_0
    | op(e1,e1) != e1
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_916]) ).

cnf(c_0_919,plain,
    ( op(e2,e0) = e1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_917]),c_0_892]) ).

cnf(c_0_920,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | epred3_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_918,c_0_119]) ).

cnf(c_0_921,plain,
    epred4_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_877,c_0_919]),c_0_112]) ).

cnf(c_0_922,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_920,c_0_921])]) ).

cnf(c_0_923,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e0) = e1
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_120,c_0_922]) ).

cnf(c_0_924,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e2
    | epred3_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_925,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e2
    | epred3_0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_118,c_0_923]) ).

cnf(c_0_926,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e2
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_924,c_0_921])]) ).

cnf(c_0_927,plain,
    ( op(e1,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e1
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_925,c_0_926]) ).

cnf(c_0_928,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | epred3_0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_133,c_0_927]) ).

cnf(c_0_929,plain,
    ( epred3_0
    | op(e0,e0) != e1
    | op(e0,e1) != e0
    | op(e0,e0) != e1
    | op(e0,e1) != e0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_930,plain,
    ( op(e1,e2) = e1
    | op(e1,e3) = e2
    | op(e1,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_928,c_0_878]),c_0_105]) ).

cnf(c_0_931,plain,
    ( epred3_0
    | op(e0,e0) != e1
    | op(e0,e1) != e0
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_929]) ).

cnf(c_0_932,plain,
    ( op(e1,e2) = e1
    | op(e1,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_930]),c_0_88]) ).

cnf(c_0_933,plain,
    ( epred3_0
    | op(e0,e0) != e1
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_931,c_0_224]) ).

cnf(c_0_934,plain,
    op(e0,e0) != op(e1,e0),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_935,plain,
    ( op(e1,e2) = e2
    | op(e1,e3) = e0
    | op(e1,e0) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_932]),c_0_112]) ).

cnf(c_0_936,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | epred3_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_933,c_0_813]) ).

cnf(c_0_937,plain,
    ( epred3_0
    | op(e2,e2) != e1
    | op(e2,e1) != e2
    | op(e2,e2) != e1
    | op(e2,e1) != e2
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_938,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e2
    | epred3_0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_934,c_0_935]) ).

cnf(c_0_939,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_936,c_0_921])]) ).

cnf(c_0_940,plain,
    ( epred3_0
    | op(e3,e3) != e1
    | op(e3,e1) != e3
    | op(e3,e3) != e1
    | op(e3,e1) != e3
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_941,plain,
    ( epred3_0
    | op(e2,e1) != e2
    | op(e2,e2) != e1
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_937]) ).

cnf(c_0_942,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_938,c_0_939]) ).

cnf(c_0_943,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | epred3_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_918,c_0_264]) ).

cnf(c_0_944,plain,
    ( epred3_0
    | op(e3,e1) != e3
    | op(e3,e3) != e1
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_940]) ).

cnf(c_0_945,plain,
    ( epred3_0
    | op(e2,e2) != e1
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_941,c_0_76]) ).

cnf(c_0_946,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e1,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_942]),c_0_103]) ).

cnf(c_0_947,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e2
    | epred3_0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_133,c_0_923]) ).

cnf(c_0_948,plain,
    ( op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_943,c_0_921])]) ).

cnf(c_0_949,plain,
    ( op(e1,e2) = e2
    | epred3_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_155,c_0_926]) ).

cnf(c_0_950,plain,
    ( epred3_0
    | op(e3,e3) != e1
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_944,c_0_53]) ).

cnf(c_0_951,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | epred3_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_945,c_0_333]) ).

cnf(c_0_952,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_573,c_0_946]) ).

cnf(c_0_953,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | op(e1,e1) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_28]),c_0_95]) ).

cnf(c_0_954,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_938,c_0_948]),c_0_949]) ).

cnf(c_0_955,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e0
    | epred3_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_950,c_0_67]) ).

cnf(c_0_956,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_951,c_0_921])]) ).

cnf(c_0_957,plain,
    ( op(e1,e2) = e2
    | epred3_0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_146,c_0_926]) ).

cnf(c_0_958,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | epred3_0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_291,c_0_952]) ).

cnf(c_0_959,plain,
    ( op(e0,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred3_0
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_136,c_0_953]) ).

cnf(c_0_960,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_954]),c_0_103]) ).

cnf(c_0_961,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_955,c_0_921])]) ).

cnf(c_0_962,plain,
    ( epred3_0
    | op(e2,e2) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_945,c_0_921])]) ).

cnf(c_0_963,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | epred3_0
    | op(op(e0,e2),e2) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_604,c_0_956]) ).

cnf(c_0_964,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_957,c_0_41]),c_0_88]) ).

cnf(c_0_965,plain,
    ( op(e0,e0) = e2
    | op(e2,e0) = e2
    | epred3_0
    | op(e3,e3) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_958,c_0_65]),c_0_88]) ).

cnf(c_0_966,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_959,c_0_960]) ).

cnf(c_0_967,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_361,c_0_961]) ).

cnf(c_0_968,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e1
    | op(e0,e2) = e1
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_960]),c_0_105]),c_0_962]) ).

cnf(c_0_969,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred3_0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_963,c_0_964]) ).

cnf(c_0_970,plain,
    ( op(e2,e2) = e2
    | op(e0,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_573,c_0_960]) ).

cnf(c_0_971,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_965,c_0_961]) ).

cnf(c_0_972,plain,
    ( op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_966]),c_0_103]) ).

cnf(c_0_973,plain,
    ( op(e0,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_926]),c_0_959]) ).

cnf(c_0_974,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e3) = e2
    | epred3_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_108,c_0_967]) ).

cnf(c_0_975,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_968]),c_0_95]),c_0_969]) ).

cnf(c_0_976,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_970]),c_0_114]) ).

cnf(c_0_977,plain,
    ( op(e2,e0) = e2
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_971]),c_0_114]) ).

cnf(c_0_978,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e2,e0) = e3
    | epred3_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_296,c_0_972]) ).

cnf(c_0_979,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e3) = e0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_973]) ).

cnf(c_0_980,plain,
    ( op(e1,e2) = e2
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_932]),c_0_112]) ).

cnf(c_0_981,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_975]),c_0_88]),c_0_95]) ).

cnf(c_0_982,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e2,e0) = e2
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_976]),c_0_977]) ).

cnf(c_0_983,plain,
    ( op(e2,e2) = e3
    | op(e2,e0) = e3
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_978,c_0_975]) ).

cnf(c_0_984,plain,
    ( op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred3_0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_979]) ).

cnf(c_0_985,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_980]),c_0_114]) ).

cnf(c_0_986,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_981,c_0_982]),c_0_88]) ).

cnf(c_0_987,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_981,c_0_983]),c_0_88]) ).

cnf(c_0_988,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e3,e0) = e3
    | op(e2,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_984,c_0_985]) ).

cnf(c_0_989,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | epred3_0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_578,c_0_948]) ).

cnf(c_0_990,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_960]),c_0_114]) ).

cnf(c_0_991,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_986,c_0_987]),c_0_88]) ).

cnf(c_0_992,plain,
    ( op(e2,e0) = e3
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | epred3_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_289,c_0_988]) ).

cnf(c_0_993,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_989,c_0_990]) ).

cnf(c_0_994,plain,
    ( op(e2,e2) = e2
    | epred3_0
    | op(op(e3,e2),e2) != e1
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_832,c_0_991]) ).

cnf(c_0_995,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e2,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_992,c_0_993]) ).

cnf(c_0_996,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | epred3_0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_994,c_0_995]) ).

cnf(c_0_997,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_996,c_0_968]) ).

cnf(c_0_998,plain,
    ( op(e1,e2) = e2
    | epred3_0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_211,c_0_932]) ).

cnf(c_0_999,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_995,c_0_997]),c_0_112]) ).

cnf(c_0_1000,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e1,e2) = e2
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_949,c_0_967]),c_0_998]) ).

cnf(c_0_1001,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_999]),c_0_991]) ).

cnf(c_0_1002,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_191,c_0_1000]) ).

cnf(c_0_1003,plain,
    ( op(e2,e2) = e2
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_991,c_0_1001]),c_0_103]),c_0_114]) ).

cnf(c_0_1004,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_1002,c_0_1003]) ).

cnf(c_0_1005,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_191,c_0_946]) ).

cnf(c_0_1006,plain,
    ( op(e2,e0) = e3
    | op(e3,e2) = e0
    | op(e2,e2) = e0
    | epred3_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_296,c_0_988]) ).

cnf(c_0_1007,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_1004]) ).

cnf(c_0_1008,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_1005,c_0_1003]) ).

cnf(c_0_1009,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e0) = e3
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1006,c_0_1007]),c_0_103]) ).

fof(c_0_1010,plain,
    ( e2 != op(e0,e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(fof_nnf,[status(thm)],[ax21]) ).

cnf(c_0_1011,plain,
    ( op(e0,e0) = e2
    | epred3_0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_231,c_0_1008]) ).

cnf(c_0_1012,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_1009]),c_0_1003]) ).

cnf(c_0_1013,plain,
    ( epred3_0
    | op(e0,e0) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_933,c_0_921])]) ).

fof(c_0_1014,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) = 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(e0,e2) = 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(e0,e3) = 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 ) ) ) ),
    introduced(definition) ).

cnf(c_0_1015,plain,
    ( e2 != op(e0,e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(split_conjunct,[status(thm)],[c_0_1010]) ).

cnf(c_0_1016,plain,
    ( op(e2,e2) = e0
    | op(e0,e0) = e2
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_1011,c_0_1012]) ).

cnf(c_0_1017,plain,
    ( op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e1,e2) = e2
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_882,c_0_926]),c_0_88]),c_0_1013]) ).

fof(c_0_1018,plain,
    ( epred3_0
   => ( epred2_0
      | ( op(e1,e0) = 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(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_908]),c_0_1014]) ).

cnf(c_0_1019,plain,
    ( op(e2,e2) = e0
    | epred3_0
    | op(op(e2,e0),e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_1016]),c_0_1012]) ).

cnf(c_0_1020,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | epred3_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_191,c_0_1017]) ).

fof(c_0_1021,plain,
    ( ( op(e1,e1) = e1
      | op(e1,e0) = e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e0) = e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e1,e0) = e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e0) = e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e0) = e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e0,e0) != e1
      | op(e0,e1) != e0
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e1,e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e1,e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e1,e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e1,e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e1,e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e2,e2) != e1
      | op(e2,e1) != e2
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) = e1
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) != e0
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e1,e1) != e1
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e2,e2) != e1
      | op(e2,e1) != e2
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e3) != e1
      | op(e3,e1) != e3
      | op(e3,e3) != e1
      | op(e3,e1) != e3
      | epred2_0
      | ~ epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1018])]) ).

cnf(c_0_1022,plain,
    ( op(e2,e2) = e0
    | epred3_0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_1019,c_0_1012]) ).

cnf(c_0_1023,plain,
    ( op(e2,e0) = e1
    | op(e3,e0) = e1
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_1020,c_0_1003]) ).

cnf(c_0_1024,plain,
    ( epred2_0
    | op(e1,e1) != e1
    | op(e1,e1) != e1
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1025,plain,
    ( op(e2,e0) = e1
    | op(e2,e2) = e0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_1022,c_0_1023]) ).

cnf(c_0_1026,plain,
    ( epred2_0
    | op(e1,e1) != e1
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_1024]) ).

cnf(c_0_1027,plain,
    ( op(e2,e2) = e0
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1012,c_0_1025]),c_0_95]) ).

cnf(c_0_1028,plain,
    ( op(e1,e1) = e1
    | op(e1,e0) = e0
    | epred2_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1029,plain,
    ( epred2_0
    | op(e0,e0) != e1
    | op(e0,e1) != e0
    | op(e0,e0) != e1
    | op(e0,e1) != e0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1030,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | epred2_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_1026,c_0_119]) ).

cnf(c_0_1031,plain,
    epred3_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1003,c_0_1027]),c_0_114]) ).

cnf(c_0_1032,plain,
    ( op(e1,e0) = e0
    | epred2_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_1028,c_0_1026]) ).

cnf(c_0_1033,plain,
    ( epred2_0
    | op(e0,e0) != e1
    | op(e0,e1) != e0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_1029]) ).

cnf(c_0_1034,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1030,c_0_1031])]) ).

cnf(c_0_1035,plain,
    ( op(e1,e0) = e0
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1032,c_0_1031])]) ).

cnf(c_0_1036,plain,
    ( epred2_0
    | op(e0,e0) != e1
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_1033,c_0_224]) ).

cnf(c_0_1037,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_1034]),c_0_1035]) ).

cnf(c_0_1038,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | epred2_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_1036,c_0_813]) ).

cnf(c_0_1039,plain,
    ( epred2_0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_934,c_0_1035]) ).

cnf(c_0_1040,plain,
    ( op(e1,e1) = e2
    | op(e1,e3) = e1
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_1037]) ).

cnf(c_0_1041,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1038,c_0_1031])]),c_0_1039]) ).

cnf(c_0_1042,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_1035]),c_0_103]) ).

cnf(c_0_1043,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_151,c_0_1040]) ).

cnf(c_0_1044,plain,
    ( op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e3) = e2
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_878,c_0_1035]),c_0_114]) ).

cnf(c_0_1045,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_1046,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) = e0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_1041]) ).

cnf(c_0_1047,plain,
    ( op(e1,e3) = e1
    | epred2_0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_118,c_0_1040]) ).

cnf(c_0_1048,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | epred2_0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_146,c_0_1042]) ).

cnf(c_0_1049,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1043,c_0_1044]),c_0_105]) ).

cnf(c_0_1050,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | epred2_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_1026,c_0_264]) ).

cnf(c_0_1051,plain,
    ( op(e0,e3) = e0
    | epred2_0
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_1045,c_0_1046]) ).

cnf(c_0_1052,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e0,e3) = e2
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1047,c_0_440]),c_0_105]) ).

cnf(c_0_1053,plain,
    ( op(e1,e2) = e2
    | op(e1,e3) = e3
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1048,c_0_1049]),c_0_95]) ).

cnf(c_0_1054,plain,
    ( epred2_0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_1035]) ).

cnf(c_0_1055,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1050,c_0_1031])]),c_0_1039]) ).

cnf(c_0_1056,plain,
    ( op(e2,e3) = e2
    | op(e3,e3) = e2
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1051,c_0_1052]),c_0_114]) ).

cnf(c_0_1057,plain,
    ( op(e1,e2) = e2
    | epred2_0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_146,c_0_1053]) ).

cnf(c_0_1058,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e0,e3) = e0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1054,c_0_602]) ).

cnf(c_0_1059,plain,
    ( epred2_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_1035]) ).

cnf(c_0_1060,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1055,c_0_1056]),c_0_88]) ).

cnf(c_0_1061,plain,
    ( op(e0,e0) = e2
    | epred2_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_578,c_0_1041]) ).

cnf(c_0_1062,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e3
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1057,c_0_41]),c_0_88]) ).

cnf(c_0_1063,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | epred2_0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_1058]) ).

cnf(c_0_1064,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1059,c_0_200]) ).

cnf(c_0_1065,plain,
    ( epred2_0
    | op(e2,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_1060]),c_0_275]) ).

cnf(c_0_1066,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e0,e0) = e2
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1061,c_0_1062]) ).

cnf(c_0_1067,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e0) = e3
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_1035]),c_0_103]) ).

cnf(c_0_1068,plain,
    ( op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_1064]),c_0_1065]) ).

cnf(c_0_1069,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e0,e2) = e0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_1066]) ).

cnf(c_0_1070,plain,
    ( op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(e0,e3) = e0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_1067]) ).

cnf(c_0_1071,plain,
    ( op(e2,e3) = e0
    | op(e3,e2) = e0
    | epred2_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_310,c_0_1068]) ).

cnf(c_0_1072,plain,
    ( op(e2,e3) = e2
    | op(e3,e2) = e3
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_1056]) ).

cnf(c_0_1073,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e3
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1062,c_0_1069]),c_0_103]) ).

cnf(c_0_1074,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | epred2_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_1070]) ).

cnf(c_0_1075,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1072]),c_0_103]) ).

cnf(c_0_1076,plain,
    ( op(e2,e2) = e3
    | op(e2,e3) = e0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1073]),c_0_103]) ).

cnf(c_0_1077,plain,
    ( op(e2,e3) = e2
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1074,c_0_1075]) ).

cnf(c_0_1078,plain,
    ( op(e2,e2) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1074,c_0_1076]) ).

cnf(c_0_1079,plain,
    ( op(e0,e0) = e2
    | epred2_0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_231,c_0_1041]) ).

cnf(c_0_1080,plain,
    ( op(e2,e0) = e3
    | op(e2,e3) = e2
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_1077]),c_0_1072]) ).

cnf(c_0_1081,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e3
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_1078]),c_0_1073]) ).

cnf(c_0_1082,plain,
    ( op(e2,e3) = e2
    | op(e0,e0) = e2
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1079,c_0_1080]) ).

cnf(c_0_1083,plain,
    ( op(e2,e2) = e3
    | op(e0,e0) = e2
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1079,c_0_1081]) ).

cnf(c_0_1084,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_1046]) ).

cnf(c_0_1085,plain,
    ( op(e2,e3) = e2
    | epred2_0
    | op(op(e2,e0),e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_1082]),c_0_1080]) ).

cnf(c_0_1086,plain,
    ( epred2_0
    | op(e0,e0) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1036,c_0_1031])]) ).

cnf(c_0_1087,plain,
    ( op(e2,e2) = e3
    | epred2_0
    | op(op(e2,e0),e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_1083]),c_0_1081]) ).

cnf(c_0_1088,plain,
    ( op(e0,e2) = e0
    | epred2_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_250,c_0_1084]) ).

cnf(c_0_1089,plain,
    ( op(e0,e2) = e0
    | epred2_0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_1084]) ).

cnf(c_0_1090,plain,
    ( op(e2,e3) = e2
    | epred2_0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_1085,c_0_1080]) ).

cnf(c_0_1091,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_1035]),c_0_112]),c_0_1086]) ).

fof(c_0_1092,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) = 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 ) ) ) ),
    introduced(definition) ).

cnf(c_0_1093,plain,
    ( op(e2,e2) = e3
    | epred2_0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_1087,c_0_1081]) ).

cnf(c_0_1094,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | epred2_0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_1070]) ).

cnf(c_0_1095,plain,
    ( op(e3,e2) = e0
    | op(e0,e2) = e0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1088,c_0_1068]),c_0_1089]) ).

cnf(c_0_1096,plain,
    ( op(e2,e0) = e1
    | op(e2,e3) = e2
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1090,c_0_1091]) ).

fof(c_0_1097,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) = 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 ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1092]) ).

cnf(c_0_1098,plain,
    ( op(e2,e0) = e1
    | op(e2,e2) = e3
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1091]) ).

cnf(c_0_1099,plain,
    ( op(e3,e2) = e0
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1094,c_0_1095]) ).

cnf(c_0_1100,plain,
    ( op(e2,e3) = e2
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1080,c_0_1096]),c_0_95]) ).

fof(c_0_1101,plain,
    ( ( op(e0,e1) = e1
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e0,e0) != e0
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e0,e0) = e0
      | ~ epred1_0 )
    & ( op(e0,e1) = e1
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e0,e0) != e0
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e0,e0) != e0
      | ~ epred1_0 )
    & ( op(e0,e1) = e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e0,e0) != e0
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | ~ epred1_0 )
    & ( op(e0,e1) = e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e0,e0) != e0
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | ~ epred1_0 )
    & ( op(e0,e1) = e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e0,e0) != e0
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1097])]) ).

cnf(c_0_1102,plain,
    ( op(e2,e2) = e3
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1081,c_0_1098]),c_0_95]) ).

cnf(c_0_1103,plain,
    ( op(e2,e0) = e3
    | op(e3,e2) = e0
    | epred2_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_289,c_0_1099]) ).

cnf(c_0_1104,plain,
    ( epred2_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_189,c_0_1100]) ).

cnf(c_0_1105,plain,
    ( op(e0,e0) != e0
    | op(e0,e0) != e0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1106,plain,
    ( epred2_0
    | op(op(e3,e2),e2) != e1
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_832,c_0_1102]) ).

cnf(c_0_1107,plain,
    ( op(e3,e2) = e0
    | op(e2,e0) = e3
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1103,c_0_1055]),c_0_1104]) ).

cnf(c_0_1108,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_233]) ).

fof(c_0_1109,plain,
    ( epred2_0
   => ( epred1_0
      | ( op(e0,e2) = 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(e0,e3) = 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 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_1014]),c_0_1092]) ).

cnf(c_0_1110,plain,
    ( op(e0,e1) = e1
    | op(e0,e0) = e0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1111,plain,
    ( op(e0,e0) != e0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_1105]) ).

cnf(c_0_1112,plain,
    ( op(e1,e2) = e2
    | epred2_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_155,c_0_1053]) ).

cnf(c_0_1113,plain,
    ( op(e2,e0) = e3
    | epred2_0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_1106,c_0_1107]) ).

cnf(c_0_1114,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1108,c_0_1084]),c_0_112]),c_0_114]) ).

fof(c_0_1115,plain,
    ( ( op(e0,e3) = e3
      | op(e0,e2) = e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e0
      | op(e0,e2) = e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e0,e2) = e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e0,e2) = e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e0,e2) = e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e3
      | op(e0,e0) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e0
      | op(e0,e0) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e0,e0) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e0,e0) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e0,e0) != e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e0
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e1,e1) != e0
      | op(e1,e0) != e1
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e0
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e2,e2) != e0
      | op(e2,e0) != e2
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e3) = e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e0) != e0
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) != e1
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e2,e2) != e0
      | op(e2,e0) != e2
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e3,e3) != e0
      | op(e3,e0) != e3
      | op(e3,e3) != e0
      | op(e3,e0) != e3
      | epred1_0
      | ~ epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1109])]) ).

cnf(c_0_1116,plain,
    ( op(e0,e1) = e1
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_1110,c_0_1111]) ).

cnf(c_0_1117,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) = e2
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1112,c_0_1055]) ).

cnf(c_0_1118,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e2,e0) = e3
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1113,c_0_1114]) ).

cnf(c_0_1119,plain,
    ( epred1_0
    | op(e0,e0) != e0
    | op(e0,e0) != e0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1120,plain,
    ( op(e0,e0) != e1
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_1116]),c_0_112]) ).

cnf(c_0_1121,plain,
    ( op(e2,e2) = e2
    | epred2_0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_1117]) ).

cnf(c_0_1122,plain,
    ( op(e2,e0) = e3
    | op(e0,e2) = e2
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_1118]),c_0_1107]) ).

cnf(c_0_1123,plain,
    ( epred1_0
    | op(e0,e0) != e0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_1119]) ).

cnf(c_0_1124,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1120,c_0_813]),c_0_1111]) ).

cnf(c_0_1125,plain,
    ( op(e2,e0) = e3
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1121,c_0_1122]),c_0_1104]) ).

cnf(c_0_1126,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_819]),c_0_1124]) ).

cnf(c_0_1127,plain,
    epred2_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_1125]),c_0_1102]) ).

cnf(c_0_1128,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e2
    | epred1_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1129,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1126,c_0_1127])]) ).

cnf(c_0_1130,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1128,c_0_1127])]) ).

cnf(c_0_1131,plain,
    ( op(e3,e3) != e0
    | op(e3,e0) != e3
    | op(e3,e3) != e0
    | op(e3,e0) != e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1132,plain,
    ( epred1_0
    | op(e3,e3) != e0
    | op(e3,e0) != e3
    | op(e3,e3) != e0
    | op(e3,e0) != e3
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1133,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_813]),c_0_95]) ).

cnf(c_0_1134,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_382,c_0_264]) ).

cnf(c_0_1135,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_1045,c_0_1129]) ).

cnf(c_0_1136,plain,
    ( op(e0,e2) = e2
    | epred1_0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_46,c_0_1130]) ).

cnf(c_0_1137,plain,
    ( op(e3,e0) != e3
    | op(e3,e3) != e0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_1131]) ).

cnf(c_0_1138,plain,
    ( epred1_0
    | op(e2,e2) != e0
    | op(e2,e0) != e2
    | op(e2,e2) != e0
    | op(e2,e0) != e2
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1139,plain,
    ( op(e2,e2) != e0
    | op(e2,e0) != e2
    | op(e2,e2) != e0
    | op(e2,e0) != e2
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1140,plain,
    ( epred1_0
    | op(e3,e0) != e3
    | op(e3,e3) != e0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_1132]) ).

cnf(c_0_1141,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1133]),c_0_1124]) ).

cnf(c_0_1142,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_1134,c_0_227]) ).

cnf(c_0_1143,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_1130]),c_0_1136]) ).

cnf(c_0_1144,plain,
    ( op(e3,e3) != e0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_1137,c_0_65]) ).

cnf(c_0_1145,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(op(e1,e2),e2) != e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_558,c_0_333]) ).

cnf(c_0_1146,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_160,c_0_540]) ).

cnf(c_0_1147,plain,
    ( epred1_0
    | op(e2,e0) != e2
    | op(e2,e2) != e0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_1138]) ).

cnf(c_0_1148,plain,
    ( op(e2,e0) != e2
    | op(e2,e2) != e0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_1139]) ).

cnf(c_0_1149,plain,
    ( epred1_0
    | op(e3,e3) != e0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[c_0_1140,c_0_65]) ).

cnf(c_0_1150,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1141,c_0_1127])]) ).

cnf(c_0_1151,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_1142]) ).

cnf(c_0_1152,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_1143]) ).

cnf(c_0_1153,plain,
    op(e0,e0) != e0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1123,c_0_1127])]),c_0_1111]) ).

cnf(c_0_1154,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1134,c_0_1116]),c_0_1111]) ).

cnf(c_0_1155,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_118,c_0_264]) ).

cnf(c_0_1156,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_1144,c_0_534]) ).

cnf(c_0_1157,plain,
    ( op(e3,e2) = e3
    | op(e0,e2) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_1145,c_0_41]) ).

cnf(c_0_1158,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_1146,c_0_333]) ).

cnf(c_0_1159,plain,
    ( epred1_0
    | op(e2,e2) != e0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[c_0_1147,c_0_91]) ).

cnf(c_0_1160,plain,
    ( op(e2,e2) != e0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_1148,c_0_91]) ).

cnf(c_0_1161,plain,
    op(e3,e3) != e0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1149,c_0_1127])]),c_0_1144]) ).

cnf(c_0_1162,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e0) = e2
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_1150]) ).

cnf(c_0_1163,plain,
    ( op(e0,e2) = e2
    | op(e0,e3) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1151,c_0_1152]),c_0_1153]),c_0_112]),c_0_1154]) ).

cnf(c_0_1164,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_1155,c_0_127]) ).

cnf(c_0_1165,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1149,c_0_534]),c_0_1156]) ).

cnf(c_0_1166,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e0,e2) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1158]),c_0_103]) ).

cnf(c_0_1167,plain,
    op(e2,e2) != e0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1159,c_0_1127])]),c_0_1160]) ).

cnf(c_0_1168,plain,
    ( op(e0,e2) = e2
    | epred1_0
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_291,c_0_1143]) ).

cnf(c_0_1169,plain,
    ( op(e3,e2) = e2
    | op(e3,e0) = e2
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(sr,[status(thm)],[c_0_354,c_0_1161]) ).

cnf(c_0_1170,plain,
    ( op(e0,e2) = e2
    | epred1_0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_250,c_0_1130]) ).

cnf(c_0_1171,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_578,c_0_1162]) ).

cnf(c_0_1172,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1130,c_0_1163]),c_0_95]),c_0_1154]) ).

cnf(c_0_1173,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1164]),c_0_1154]) ).

cnf(c_0_1174,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1165,c_0_1127])]) ).

cnf(c_0_1175,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(sr,[status(thm)],[c_0_1166,c_0_1167]) ).

cnf(c_0_1176,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1168,c_0_1169]),c_0_1170]) ).

cnf(c_0_1177,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e0,e3) = e3
    | op(e0,e3) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1171,c_0_1172]),c_0_88]) ).

cnf(c_0_1178,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1173,c_0_1127])]) ).

cnf(c_0_1179,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_108,c_0_1174]) ).

cnf(c_0_1180,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_1175]),c_0_88]) ).

cnf(c_0_1181,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | epred1_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1176]) ).

cnf(c_0_1182,plain,
    ( op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e3,e3) = e3
    | op(e2,e2) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1177,c_0_1178]),c_0_95]),c_0_112]) ).

cnf(c_0_1183,plain,
    ( op(e2,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e3) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1179,c_0_1180]),c_0_103]),c_0_88]),c_0_1181]) ).

cnf(c_0_1184,plain,
    ( op(e1,e1) != e0
    | op(e1,e0) != e1
    | op(e1,e1) != e0
    | op(e1,e0) != e1
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1185,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_276,c_0_1172]) ).

cnf(c_0_1186,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e3) = e1
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1182,c_0_1183]),c_0_105]),c_0_88]) ).

cnf(c_0_1187,plain,
    ( epred1_0
    | op(e1,e1) != e0
    | op(e1,e0) != e1
    | op(e1,e1) != e0
    | op(e1,e0) != e1
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1188,plain,
    ( op(e1,e0) != e1
    | op(e1,e1) != e0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_1184]) ).

cnf(c_0_1189,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e3
    | op(e3,e3) = e3
    | op(e2,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1185,c_0_1186]),c_0_1154]) ).

cnf(c_0_1190,plain,
    ( epred1_0
    | op(e1,e0) != e1
    | op(e1,e1) != e0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_1187]) ).

cnf(c_0_1191,plain,
    ( op(e1,e1) != e0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_1188,c_0_120]) ).

cnf(c_0_1192,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_1193,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_197,c_0_333]) ).

cnf(c_0_1194,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e3) = e1
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1170,c_0_1189]) ).

cnf(c_0_1195,plain,
    ( epred1_0
    | op(e1,e1) != e0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[c_0_1190,c_0_120]) ).

cnf(c_0_1196,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e1) = e0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_1191,c_0_1192]) ).

cnf(c_0_1197,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(sr,[status(thm)],[c_0_1193,c_0_1167]) ).

cnf(c_0_1198,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e3
    | op(e2,e2) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_1194]),c_0_1186]) ).

cnf(c_0_1199,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_130,c_0_545]) ).

cnf(c_0_1200,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_120,c_0_1192]) ).

cnf(c_0_1201,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e1) = e0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1195,c_0_1192]),c_0_1196]) ).

cnf(c_0_1202,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1197,c_0_1198]),c_0_95]),c_0_112]) ).

cnf(c_0_1203,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_1199,c_0_43]) ).

cnf(c_0_1204,plain,
    ( op(e0,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1200,c_0_1035]),c_0_112]),c_0_1201]) ).

cnf(c_0_1205,plain,
    ( op(e2,e2) = e2
    | epred1_0
    | op(op(e3,e2),e2) != e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_814,c_0_1202]) ).

cnf(c_0_1206,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1203,c_0_1202]) ).

cnf(c_0_1207,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_80,c_0_1204]) ).

cnf(c_0_1208,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1116,c_0_1204]),c_0_112]) ).

cnf(c_0_1209,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e0,e0) = e0
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_269,c_0_601]) ).

cnf(c_0_1210,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e2,e2) = e2
    | epred1_0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_1205,c_0_1206]) ).

cnf(c_0_1211,plain,
    ( op(e3,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[c_0_200,c_0_1167]) ).

cnf(c_0_1212,plain,
    ( op(e0,e2) = e2
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1207,c_0_1152]),c_0_1208]) ).

cnf(c_0_1213,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_77,c_0_1204]) ).

cnf(c_0_1214,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1209]),c_0_1154]) ).

cnf(c_0_1215,plain,
    ( op(e0,e2) = e0
    | op(e2,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1210,c_0_1211]) ).

cnf(c_0_1216,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e3) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1171,c_0_1212]),c_0_88]),c_0_1213]) ).

cnf(c_0_1217,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1214,c_0_1127])]) ).

cnf(c_0_1218,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e3) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1176,c_0_1215]),c_0_114]),c_0_1181]) ).

cnf(c_0_1219,plain,
    ( op(e2,e1) = e0
    | op(e3,e1) = e0
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_250,c_0_1216]) ).

cnf(c_0_1220,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_1217]),c_0_105]) ).

cnf(c_0_1221,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1212]) ).

cnf(c_0_1222,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | epred1_0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_130,c_0_1218]) ).

cnf(c_0_1223,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e1) = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_1220]),c_0_1221]) ).

cnf(c_0_1224,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e2
    | epred1_0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_1222,c_0_43]) ).

cnf(c_0_1225,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1170,c_0_1220]) ).

cnf(c_0_1226,plain,
    ( op(e2,e1) = e0
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_1223]) ).

cnf(c_0_1227,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e2
    | op(e3,e2) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1224,c_0_1202]) ).

cnf(c_0_1228,plain,
    ( op(e2,e1) != e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_62,c_0_224]) ).

cnf(c_0_1229,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_813,c_0_1153]) ).

cnf(c_0_1230,plain,
    ( op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e2,e2) = e2
    | epred1_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_276,c_0_1225]) ).

cnf(c_0_1231,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e1) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1226,c_0_1227]),c_0_112]) ).

cnf(c_0_1232,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_1228,c_0_1229]) ).

cnf(c_0_1233,plain,
    ( op(e2,e1) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1230,c_0_1231]),c_0_105]) ).

cnf(c_0_1234,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1232,c_0_1233]),c_0_1124]) ).

cnf(c_0_1235,plain,
    ( op(e0,e0) = e2
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_1234]) ).

cnf(c_0_1236,plain,
    ( op(e0,e3) != e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_77,c_0_224]) ).

cnf(c_0_1237,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e0) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[c_0_1142,c_0_1153]) ).

cnf(c_0_1238,plain,
    ( op(e0,e3) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_578,c_0_1235]) ).

cnf(c_0_1239,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_1236,c_0_1237]) ).

cnf(c_0_1240,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_1238,c_0_1172]) ).

cnf(c_0_1241,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1239,c_0_1240]),c_0_112]) ).

cnf(c_0_1242,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_1241]),c_0_105]) ).

cnf(c_0_1243,plain,
    ( op(e2,e2) = e1
    | op(e3,e1) = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_1242]),c_0_1221]) ).

cnf(c_0_1244,plain,
    ( op(e2,e1) = e0
    | op(e2,e2) = e1
    | op(e3,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_1243]),c_0_103]) ).

cnf(c_0_1245,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1 ),
    inference(sr,[status(thm)],[c_0_67,c_0_1161]) ).

cnf(c_0_1246,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e2,e2) = e1
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_1244,c_0_1245]) ).

cnf(c_0_1247,plain,
    ( op(e2,e1) = e0
    | op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1170,c_0_1246]) ).

cnf(c_0_1248,plain,
    ( op(e3,e3) = e2
    | op(e2,e2) = e1
    | op(e2,e1) = e0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_1247]),c_0_1233]) ).

cnf(c_0_1249,plain,
    ( op(e2,e1) = e0
    | epred1_0
    | op(e2,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_1248]),c_0_83]) ).

cnf(c_0_1250,plain,
    ( op(e2,e1) = e0
    | epred1_0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_1249,c_0_43]) ).

cnf(c_0_1251,plain,
    ( op(e2,e2) = e2
    | op(e2,e1) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1250,c_0_1202]) ).

cnf(c_0_1252,plain,
    ( op(e2,e2) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1232,c_0_1251]),c_0_1124]) ).

cnf(c_0_1253,plain,
    ( op(e0,e0) = e2
    | op(e2,e2) = e2
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_1252]) ).

cnf(c_0_1254,plain,
    ( op(e0,e3) = e0
    | op(e2,e2) = e2
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_578,c_0_1253]) ).

cnf(c_0_1255,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_1254,c_0_1172]) ).

cnf(c_0_1256,plain,
    ( op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1239,c_0_1255]),c_0_112]) ).

cnf(c_0_1257,plain,
    ( op(e3,e1) != e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_147,c_0_224]) ).

cnf(c_0_1258,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_1256]),c_0_105]) ).

cnf(c_0_1259,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_1257,c_0_1229]) ).

cnf(c_0_1260,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_1258]),c_0_1221]) ).

cnf(c_0_1261,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1259,c_0_1260]),c_0_1232]) ).

cnf(c_0_1262,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_1263,plain,
    ( op(e0,e0) = e2
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_231,c_0_1261]) ).

cnf(c_0_1264,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e0
    | op(e0,e2) = e0
    | op(e0,e0) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_223]),c_0_114]),c_0_492]) ).

cnf(c_0_1265,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1116,c_0_1262]),c_0_112]),c_0_1111]) ).

cnf(c_0_1266,plain,
    ( op(op(e2,e0),e0) != e1
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_1015,c_0_1263]) ).

cnf(c_0_1267,plain,
    ( op(e2,e3) = e3
    | op(e2,e0) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(sr,[status(thm)],[c_0_711,c_0_1167]) ).

cnf(c_0_1268,plain,
    ( op(e2,e2) = e2
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_130,c_0_1258]) ).

cnf(c_0_1269,plain,
    ( op(e2,e1) = e0
    | op(e3,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_1260]),c_0_103]) ).

cnf(c_0_1270,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e3
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1259,c_0_1243]),c_0_1232]) ).

cnf(c_0_1271,plain,
    ( op(e0,e2) = e0
    | op(e0,e3) = e0
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1264]),c_0_1265]) ).

cnf(c_0_1272,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e3,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1266,c_0_1267]),c_0_1268]) ).

cnf(c_0_1273,plain,
    ( op(e2,e1) = e0
    | op(e3,e2) = e1
    | op(e3,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_1260]),c_0_112]),c_0_1269]) ).

cnf(c_0_1274,plain,
    ( op(e0,e0) = e2
    | op(e2,e2) = e1
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_1270]) ).

cnf(c_0_1275,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e0
    | op(e0,e2) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1271,c_0_1127])]) ).

cnf(c_0_1276,plain,
    ( op(e3,e2) = e1
    | op(e2,e1) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_1272,c_0_1273]) ).

cnf(c_0_1277,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1 ),
    inference(sr,[status(thm)],[c_0_333,c_0_1167]) ).

cnf(c_0_1278,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_1261]) ).

cnf(c_0_1279,plain,
    ( op(e0,e3) = e0
    | op(e2,e2) = e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_1045,c_0_1274]) ).

cnf(c_0_1280,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e0
    | op(e0,e2) = e2
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1108,c_0_1275]),c_0_112]),c_0_114]) ).

cnf(c_0_1281,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_1276]),c_0_1277]) ).

cnf(c_0_1282,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_1045,c_0_1278]) ).

cnf(c_0_1283,plain,
    ( op(e0,e2) != e1
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_80,c_0_1116]) ).

cnf(c_0_1284,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e0
    | op(e2,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1279,c_0_1280]),c_0_114]) ).

cnf(c_0_1285,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_1281]),c_0_114]),c_0_1277]) ).

cnf(c_0_1286,plain,
    ( op(e0,e3) = e0
    | op(e2,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_1274]),c_0_107]) ).

cnf(c_0_1287,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1282,c_0_1280]),c_0_114]) ).

cnf(c_0_1288,plain,
    ( op(e2,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1283,c_0_1284]),c_0_1152]) ).

cnf(c_0_1289,plain,
    ( op(e2,e2) = e2
    | op(op(e3,e2),e2) != e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_814,c_0_1285]) ).

cnf(c_0_1290,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_1258]),c_0_88]) ).

cnf(c_0_1291,plain,
    ( op(e0,e2) != e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_46,c_0_1286]) ).

cnf(c_0_1292,plain,
    ( op(e1,e3) = e3
    | op(e0,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_81,c_0_639]) ).

cnf(c_0_1293,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_578,c_0_1278]) ).

cnf(c_0_1294,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_1287]),c_0_1288]) ).

cnf(c_0_1295,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e2,e2) = e2
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_1289,c_0_1290]) ).

cnf(c_0_1296,plain,
    ( op(e0,e2) = e2
    | op(e2,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1291,c_0_1288]),c_0_107]) ).

cnf(c_0_1297,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_291,c_0_813]) ).

cnf(c_0_1298,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e1,e3) = e3
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_1292,c_0_1293]) ).

cnf(c_0_1299,plain,
    ( op(e0,e2) = e2
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_1294]) ).

cnf(c_0_1300,plain,
    ( op(e0,e2) = e0
    | op(e2,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_1295,c_0_1211]) ).

cnf(c_0_1301,plain,
    ( op(e3,e2) != e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_276,c_0_1296]) ).

cnf(c_0_1302,plain,
    ( op(e2,e2) != e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1296]) ).

cnf(c_0_1303,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_1297,c_0_290]) ).

cnf(c_0_1304,plain,
    ( op(e1,e3) = e3
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e3,e2) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1298,c_0_1299]),c_0_105]) ).

cnf(c_0_1305,plain,
    ( op(e3,e2) = e0
    | op(e2,e0) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1291,c_0_1300]),c_0_1301]),c_0_1302]) ).

cnf(c_0_1306,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e2
    | op(e3,e0) = e3
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1303]),c_0_1124]) ).

cnf(c_0_1307,plain,
    ( op(e1,e3) = e3
    | op(e2,e0) != e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1304,c_0_1305]),c_0_112]),c_0_107]) ).

cnf(c_0_1308,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1306,c_0_1127])]) ).

cnf(c_0_1309,plain,
    ( op(e3,e3) != e3
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_155,c_0_1307]) ).

cnf(c_0_1310,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e2
    | op(e3,e0) = e3
    | op(op(e3,e0),e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_904,c_0_1308]),c_0_290]) ).

cnf(c_0_1311,plain,
    op(e2,e0) != e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1309,c_0_1258]),c_0_1302]) ).

cnf(c_0_1312,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e0,e0) = e2
    | op(e1,e0) != e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1310,c_0_290]),c_0_112]),c_0_105]),c_0_95]) ).

cnf(c_0_1313,plain,
    ( op(e3,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[c_0_488,c_0_1311]) ).

cnf(c_0_1314,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_291,c_0_1261]) ).

cnf(c_0_1315,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1312,c_0_1313]),c_0_1314]) ).

cnf(c_0_1316,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e0,e0) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_417,c_0_315]) ).

cnf(c_0_1317,plain,
    ( op(e0,e3) = e0
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_291,c_0_1278]) ).

cnf(c_0_1318,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_578,c_0_1315]) ).

cnf(c_0_1319,plain,
    ( op(e2,e2) = e2
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1170,c_0_1258]) ).

cnf(c_0_1320,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e3,e0) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_1236,c_0_1316]) ).

cnf(c_0_1321,plain,
    ( op(e0,e2) != e0
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_46,c_0_1317]) ).

cnf(c_0_1322,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e0
    | op(e3,e0) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1318,c_0_1319]) ).

cnf(c_0_1323,plain,
    ( op(e2,e2) != e2
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1299]) ).

cnf(c_0_1324,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_45,c_0_69]) ).

cnf(c_0_1325,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e0,e2) = e1
    | op(e0,e2) != e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1320,c_0_1293]),c_0_112]) ).

cnf(c_0_1326,plain,
    ( op(e0,e2) = e2
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_1321,c_0_1294]) ).

cnf(c_0_1327,plain,
    ( op(e3,e0) = e2
    | epred1_0
    | op(e3,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_1322]),c_0_1323]) ).

cnf(c_0_1328,plain,
    ( op(e2,e2) = e2
    | epred1_0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_276,c_0_1319]) ).

cnf(c_0_1329,plain,
    ( op(e0,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e0,e3) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_1324]),c_0_112]) ).

cnf(c_0_1330,plain,
    ( op(e3,e0) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e0) != e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1325,c_0_1326]),c_0_105]) ).

cnf(c_0_1331,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1327,c_0_1227]),c_0_1328]) ).

cnf(c_0_1332,plain,
    ( op(e0,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_77,c_0_1329]) ).

cnf(c_0_1333,plain,
    ( op(e2,e2) = e2
    | op(e3,e3) = e1
    | op(e3,e2) = e1
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_1331]),c_0_105]) ).

cnf(c_0_1334,plain,
    ( op(e0,e2) = e2
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e2,e3) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1332,c_0_1130]),c_0_103]),c_0_1161]) ).

cnf(c_0_1335,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e0
    | op(e3,e2) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_1218]) ).

cnf(c_0_1336,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e2
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1258,c_0_1333]),c_0_95]) ).

cnf(c_0_1337,plain,
    ( op(e0,e2) = e2
    | epred1_0
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_1152]) ).

cnf(c_0_1338,plain,
    ( op(e2,e3) = e0
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | epred1_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1334]) ).

cnf(c_0_1339,plain,
    ( op(e2,e2) = e2
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1335,c_0_1336]),c_0_105]),c_0_112]),c_0_95]) ).

cnf(c_0_1340,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1337,c_0_1335]) ).

cnf(c_0_1341,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e2,e3) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1338,c_0_1339]) ).

cnf(c_0_1342,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e3
    | epred1_0
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1340]) ).

fof(c_0_1343,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(fof_nnf,[status(thm)],[ax19]) ).

cnf(c_0_1344,plain,
    ( op(e2,e3) = e0
    | op(e2,e1) = e3
    | epred1_0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_56,c_0_1341]) ).

cnf(c_0_1345,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1342,c_0_1339]) ).

cnf(c_0_1346,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(split_conjunct,[status(thm)],[c_0_1343]) ).

cnf(c_0_1347,plain,
    ( op(e3,e2) = e2
    | op(e2,e1) = e3
    | op(e2,e3) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1344,c_0_1345]) ).

cnf(c_0_1348,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e1) = e2
    | op(op(e2,e1),e1) != e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_1346,c_0_465]) ).

cnf(c_0_1349,plain,
    ( op(e2,e3) = e0
    | op(e2,e1) = e3
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_1347]),c_0_1339]) ).

cnf(c_0_1350,plain,
    ( op(e2,e3) = e0
    | op(e0,e1) = e2
    | op(e3,e1) = e2
    | epred1_0
    | op(e3,e1) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1348,c_0_1349]),c_0_88]) ).

cnf(c_0_1351,plain,
    ( op(e2,e1) = e0
    | op(e0,e1) = e2
    | op(e2,e3) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1350,c_0_1260]),c_0_114]) ).

cnf(c_0_1352,plain,
    ( op(e2,e3) != e0
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_177,c_0_1293]) ).

cnf(c_0_1353,plain,
    ( op(e2,e3) = e0
    | op(e2,e1) = e0
    | epred1_0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_347,c_0_1351]) ).

cnf(c_0_1354,plain,
    ( op(e2,e1) = e0
    | epred1_0
    | op(e0,e2) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1351]),c_0_1352]) ).

cnf(c_0_1355,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(op(e1,e3),e3) != e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_186,c_0_1245]) ).

cnf(c_0_1356,plain,
    ( op(e2,e1) = e0
    | op(e2,e3) = e0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1143]),c_0_1354]) ).

cnf(c_0_1357,plain,
    ( op(e2,e3) = e2
    | op(e0,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_1355,c_0_440]) ).

cnf(c_0_1358,plain,
    ( op(e2,e3) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1349,c_0_1356]),c_0_103]) ).

cnf(c_0_1359,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e0,e3) = e2
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1357,c_0_1358]),c_0_114]) ).

cnf(c_0_1360,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1282,c_0_1359]),c_0_114]) ).

cnf(c_0_1361,plain,
    ( op(e3,e3) = e2
    | op(e0,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1170,c_0_1360]) ).

cnf(c_0_1362,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_1181,c_0_1339]) ).

cnf(c_0_1363,plain,
    ( op(e3,e3) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_1361]),c_0_1362]) ).

cnf(c_0_1364,plain,
    ( epred1_0
    | op(op(e2,e3),e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_1363]),c_0_1358]) ).

cnf(c_0_1365,plain,
    ( op(e0,e3) != e1
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_77,c_0_1116]) ).

cnf(c_0_1366,plain,
    op(e0,e3) != e1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1364,c_0_1358]),c_0_1365]) ).

cnf(c_0_1367,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_239,c_0_1366]),c_0_1282]) ).

cnf(c_0_1368,plain,
    ( op(e0,e3) = e3
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_1367]) ).

cnf(c_0_1369,plain,
    ( op(e3,e3) != e3
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_250,c_0_1368]) ).

cnf(c_0_1370,plain,
    ( op(e2,e0) = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(sr,[status(thm)],[c_0_166,c_0_1311]) ).

cnf(c_0_1371,plain,
    ( op(e2,e2) = e2
    | op(e2,e3) = e2
    | op(e2,e0) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_158,c_0_1311]),c_0_1268]) ).

cnf(c_0_1372,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_1367]) ).

cnf(c_0_1373,plain,
    ( op(e2,e2) = e2
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_1369,c_0_1258]) ).

cnf(c_0_1374,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1370,c_0_1371]),c_0_103]) ).

cnf(c_0_1375,plain,
    ( op(e3,e3) != e3
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_250,c_0_1372]) ).

cnf(c_0_1376,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_1373,c_0_1374]) ).

cnf(c_0_1377,plain,
    ( op(e2,e2) != e2
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_360,c_0_76]) ).

cnf(c_0_1378,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_382,c_0_121]) ).

cnf(c_0_1379,plain,
    ( op(e0,e2) = e2
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_1375,c_0_1294]) ).

cnf(c_0_1380,plain,
    op(e2,e2) != e1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1376]),c_0_1377]) ).

cnf(c_0_1381,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_1378,c_0_224]) ).

cnf(c_0_1382,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_488]),c_0_105]) ).

cnf(c_0_1383,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_68,c_0_128]) ).

cnf(c_0_1384,plain,
    ( op(e1,e0) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_128]) ).

cnf(c_0_1385,plain,
    ( op(e1,e3) = e3
    | op(e3,e2) = e1
    | op(e3,e3) != e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1298,c_0_1379]),c_0_1380]),c_0_105]) ).

cnf(c_0_1386,plain,
    ( op(e0,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1381,c_0_1382]),c_0_1383]),c_0_1384]) ).

cnf(c_0_1387,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e1
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_1385,c_0_1258]) ).

cnf(c_0_1388,plain,
    ( op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_1386]),c_0_114]) ).

cnf(c_0_1389,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1387]),c_0_1258]) ).

cnf(c_0_1390,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) = e2
    | op(e1,e3) = e0
    | op(e1,e2) = e0 ),
    inference(sr,[status(thm)],[c_0_1388,c_0_1311]) ).

cnf(c_0_1391,plain,
    ( op(e2,e2) = e2
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_1289,c_0_1389]) ).

cnf(c_0_1392,plain,
    ( op(e1,e2) = e0
    | op(e3,e0) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_1390]),c_0_1278]) ).

cnf(c_0_1393,plain,
    ( op(e0,e0) = e2
    | op(e3,e0) = e2
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_1391,c_0_1392]) ).

cnf(c_0_1394,plain,
    ( op(e3,e2) != e2
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_276,c_0_1326]) ).

cnf(c_0_1395,plain,
    ( op(e2,e2) != e2
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1326]) ).

cnf(c_0_1396,plain,
    ( op(e2,e2) = e2
    | op(e3,e0) = e2
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_578,c_0_1393]) ).

cnf(c_0_1397,plain,
    ( op(e3,e2) = e0
    | op(e3,e0) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1321,c_0_1300]),c_0_1394]),c_0_1395]) ).

cnf(c_0_1398,plain,
    ( op(e3,e0) = e2
    | op(e2,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1396,c_0_1379]),c_0_1258]) ).

cnf(c_0_1399,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_1397,c_0_1398]) ).

cnf(c_0_1400,plain,
    op(e2,e2) = e2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1389,c_0_1399]),c_0_112]) ).

cnf(c_0_1401,plain,
    ( op(e2,e2) != e2
    | op(e3,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_423,c_0_1379]) ).

cnf(c_0_1402,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1395,c_0_1169]),c_0_1258]) ).

cnf(c_0_1403,plain,
    op(e0,e2) != e2,
    inference(rw,[status(thm)],[c_0_423,c_0_1400]) ).

cnf(c_0_1404,plain,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_1401,c_0_1402]) ).

cnf(c_0_1405,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e1) = e2
    | op(e1,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_151,c_0_465]) ).

cnf(c_0_1406,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1392]),c_0_1321]) ).

cnf(c_0_1407,plain,
    op(e0,e2) = e0,
    inference(sr,[status(thm)],[c_0_1294,c_0_1403]) ).

cnf(c_0_1408,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1404,c_0_1400])]) ).

cnf(c_0_1409,plain,
    op(e3,e2) != e2,
    inference(rw,[status(thm)],[c_0_160,c_0_1400]) ).

cnf(c_0_1410,plain,
    ( op(e0,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_1405]),c_0_112]),c_0_95]) ).

cnf(c_0_1411,plain,
    ( op(e0,e2) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_227,c_0_1366]) ).

cnf(c_0_1412,plain,
    op(e0,e0) = e2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1406,c_0_1407])]) ).

cnf(c_0_1413,plain,
    op(e0,e3) = e3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1372,c_0_1407])]) ).

cnf(c_0_1414,plain,
    op(e3,e3) = e2,
    inference(sr,[status(thm)],[c_0_1408,c_0_1409]) ).

cnf(c_0_1415,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_1416,plain,
    ( op(e1,e3) = e3
    | op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e0,e1) = e2
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_154,c_0_1410]) ).

cnf(c_0_1417,plain,
    op(e0,e1) = e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1411,c_0_1407]),c_0_112]),c_0_1412]),c_0_105]) ).

cnf(c_0_1418,plain,
    op(e1,e3) != e3,
    inference(rw,[status(thm)],[c_0_81,c_0_1413]) ).

cnf(c_0_1419,plain,
    op(e2,e1) != e2,
    inference(rw,[status(thm)],[c_0_360,c_0_1400]) ).

cnf(c_0_1420,plain,
    op(e3,e1) != e2,
    inference(rw,[status(thm)],[c_0_484,c_0_1414]) ).

cnf(c_0_1421,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e0,e0) = e0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_1415]) ).

cnf(c_0_1422,plain,
    ( op(e3,e1) != e1
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_1116]) ).

cnf(c_0_1423,plain,
    op(e2,e3) != e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1416,c_0_1417]),c_0_1418]),c_0_1419]),c_0_105]),c_0_1420]) ).

cnf(c_0_1424,plain,
    op(e3,e2) = e3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_1414])]) ).

cnf(c_0_1425,plain,
    ( op(e0,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e1,e2) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1324]),c_0_112]) ).

cnf(c_0_1426,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e0,e3) = e0
    | op(e0,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_1421,c_0_602]) ).

cnf(c_0_1427,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_1422,c_0_321]) ).

cnf(c_0_1428,plain,
    epred1_0,
    inference(sr,[status(thm)],[c_0_1358,c_0_1423]) ).

cnf(c_0_1429,plain,
    op(e3,e1) != e3,
    inference(rw,[status(thm)],[c_0_56,c_0_1424]) ).

cnf(c_0_1430,plain,
    ( op(e1,e2) = e0
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_68,c_0_1425]) ).

cnf(c_0_1431,plain,
    op(e1,e2) != e0,
    inference(rw,[status(thm)],[c_0_208,c_0_1407]) ).

cnf(c_0_1432,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e0,e3) = e0
    | op(e2,e3) = e0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1111,c_0_1426]),c_0_1144]) ).

cnf(c_0_1433,plain,
    op(e3,e1) = e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1427,c_0_1428])]),c_0_1429]),c_0_1420]) ).

cnf(c_0_1434,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e0) = e2
    | op(op(e2,e1),e1) != e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_1346,c_0_268]) ).

cnf(c_0_1435,plain,
    ( op(e2,e1) = e3
    | op(e2,e0) != e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1430,c_0_1417]),c_0_1431]),c_0_1429]),c_0_95]) ).

cnf(c_0_1436,plain,
    op(e1,e3) != e2,
    inference(rw,[status(thm)],[c_0_155,c_0_1414]) ).

cnf(c_0_1437,plain,
    op(e1,e2) != e2,
    inference(rw,[status(thm)],[c_0_191,c_0_1400]) ).

cnf(c_0_1438,plain,
    op(e1,e0) != e2,
    inference(rw,[status(thm)],[c_0_934,c_0_1412]) ).

cnf(c_0_1439,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e0,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1426]),c_0_1432]) ).

cnf(c_0_1440,plain,
    op(e3,e0) != e0,
    inference(rw,[status(thm)],[c_0_52,c_0_1433]) ).

cnf(c_0_1441,plain,
    op(e2,e0) != e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_1435]),c_0_1433])]),c_0_1436]),c_0_1437]),c_0_1438]) ).

cnf(c_0_1442,plain,
    $false,
    inference(sr,[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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1439,c_0_1127])]),c_0_1413]),c_0_1414]),c_0_1440]),c_0_1441]),c_0_103]),c_0_1423]),c_0_114]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ALG148+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 28 02:45:08 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 3.97/4.08  % Version  : CSE_E---1.5
% 3.97/4.08  % Problem  : theBenchmark.p
% 3.97/4.08  % Proof found
% 3.97/4.08  % SZS status Theorem for theBenchmark.p
% 3.97/4.08  % SZS output start Proof
% See solution above
% 3.97/4.12  % Total time : 3.495000 s
% 3.97/4.12  % SZS output end Proof
% 3.97/4.12  % Total time : 3.502000 s
%------------------------------------------------------------------------------