TSTP Solution File: ALG097+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ALG097+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 : n009.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 16:01:32 EDT 2023

% Result   : Unsatisfiable 0.52s 1.08s
% Output   : CNFRefutation 1.01s
% 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,
    e4: $i ).

tff(decl_28,type,
    unit: $i ).

fof(ax2,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & op(unit,e4) = e4
    & op(e4,unit) = e4
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3
      | unit = e4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(ax4,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e3,e0) != op(e4,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e3,e1) != op(e4,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e3,e2) != op(e4,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e3,e3) != op(e4,e3)
    & op(e0,e4) != op(e1,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e3,e4) != op(e4,e4)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e3) != op(e0,e4)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e3) != op(e1,e4)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e3) != op(e2,e4)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e3) != op(e3,e4)
    & op(e4,e0) != op(e4,e1)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e3) != op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(ax6,axiom,
    ( ( op(e0,e0) != e0
      | op(e0,e0) = e0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) = e0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0 )
    & ( op(e0,e0) != e4
      | op(e0,e4) = e0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) = e1 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1 )
    & ( op(e1,e1) != e2
      | op(e1,e2) = e1 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1 )
    & ( op(e1,e1) != e4
      | op(e1,e4) = e1 )
    & ( op(e2,e2) != e0
      | op(e2,e0) = e2 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2 )
    & ( op(e2,e2) != e4
      | op(e2,e4) = e2 )
    & ( op(e3,e3) != e0
      | op(e3,e0) = e3 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3 )
    & ( op(e3,e3) != e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3 )
    & ( op(e3,e3) != e4
      | op(e3,e4) = e3 )
    & ( op(e4,e4) != e0
      | op(e4,e0) = e4 )
    & ( op(e4,e4) != e1
      | op(e4,e1) = e4 )
    & ( op(e4,e4) != e2
      | op(e4,e2) = e4 )
    & ( op(e4,e4) != e3
      | op(e4,e3) = e4 )
    & ( op(e4,e4) != e4
      | op(e4,e4) = e4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(ax3,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0
      | op(e0,e4) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0
      | op(e4,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1
      | op(e0,e4) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1
      | op(e4,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2
      | op(e0,e4) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2
      | op(e4,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3
      | op(e0,e4) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3
      | op(e4,e0) = e3 )
    & ( op(e0,e0) = e4
      | op(e0,e1) = e4
      | op(e0,e2) = e4
      | op(e0,e3) = e4
      | op(e0,e4) = e4 )
    & ( op(e0,e0) = e4
      | op(e1,e0) = e4
      | op(e2,e0) = e4
      | op(e3,e0) = e4
      | op(e4,e0) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0
      | op(e1,e4) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0
      | op(e4,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1
      | op(e1,e4) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1
      | op(e4,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2
      | op(e1,e4) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2
      | op(e4,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3
      | op(e1,e4) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3
      | op(e4,e1) = e3 )
    & ( op(e1,e0) = e4
      | op(e1,e1) = e4
      | op(e1,e2) = e4
      | op(e1,e3) = e4
      | op(e1,e4) = e4 )
    & ( op(e0,e1) = e4
      | op(e1,e1) = e4
      | op(e2,e1) = e4
      | op(e3,e1) = e4
      | op(e4,e1) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0
      | op(e2,e4) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0
      | op(e4,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1
      | op(e2,e4) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1
      | op(e4,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2
      | op(e2,e4) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2
      | op(e4,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3
      | op(e2,e4) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3
      | op(e4,e2) = e3 )
    & ( op(e2,e0) = e4
      | op(e2,e1) = e4
      | op(e2,e2) = e4
      | op(e2,e3) = e4
      | op(e2,e4) = e4 )
    & ( op(e0,e2) = e4
      | op(e1,e2) = e4
      | op(e2,e2) = e4
      | op(e3,e2) = e4
      | op(e4,e2) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0
      | op(e3,e4) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0
      | op(e4,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1
      | op(e3,e4) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1
      | op(e4,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2
      | op(e3,e4) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2
      | op(e4,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3
      | op(e3,e4) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3
      | op(e4,e3) = e3 )
    & ( op(e3,e0) = e4
      | op(e3,e1) = e4
      | op(e3,e2) = e4
      | op(e3,e3) = e4
      | op(e3,e4) = e4 )
    & ( op(e0,e3) = e4
      | op(e1,e3) = e4
      | op(e2,e3) = e4
      | op(e3,e3) = e4
      | op(e4,e3) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e1) = e0
      | op(e4,e2) = e0
      | op(e4,e3) = e0
      | op(e4,e4) = e0 )
    & ( op(e0,e4) = e0
      | op(e1,e4) = e0
      | op(e2,e4) = e0
      | op(e3,e4) = e0
      | op(e4,e4) = e0 )
    & ( op(e4,e0) = e1
      | op(e4,e1) = e1
      | op(e4,e2) = e1
      | op(e4,e3) = e1
      | op(e4,e4) = e1 )
    & ( op(e0,e4) = e1
      | op(e1,e4) = e1
      | op(e2,e4) = e1
      | op(e3,e4) = e1
      | op(e4,e4) = e1 )
    & ( op(e4,e0) = e2
      | op(e4,e1) = e2
      | op(e4,e2) = e2
      | op(e4,e3) = e2
      | op(e4,e4) = e2 )
    & ( op(e0,e4) = e2
      | op(e1,e4) = e2
      | op(e2,e4) = e2
      | op(e3,e4) = e2
      | op(e4,e4) = e2 )
    & ( op(e4,e0) = e3
      | op(e4,e1) = e3
      | op(e4,e2) = e3
      | op(e4,e3) = e3
      | op(e4,e4) = e3 )
    & ( op(e0,e4) = e3
      | op(e1,e4) = e3
      | op(e2,e4) = e3
      | op(e3,e4) = e3
      | op(e4,e4) = e3 )
    & ( op(e4,e0) = e4
      | op(e4,e1) = e4
      | op(e4,e2) = e4
      | op(e4,e3) = e4
      | op(e4,e4) = e4 )
    & ( op(e0,e4) = e4
      | op(e1,e4) = e4
      | op(e2,e4) = e4
      | op(e3,e4) = e4
      | op(e4,e4) = e4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(ax106,axiom,
    ~ ( e4 = op(op(e1,e2),op(e1,e2))
      & e0 = op(e1,e2)
      & e3 = op(e2,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).

fof(ax104,axiom,
    ~ ( e4 = op(op(e2,e1),op(e2,e1))
      & e0 = op(e2,e1)
      & e3 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).

fof(ax79,axiom,
    ~ ( e3 = op(op(e4,e1),op(e4,e1))
      & e0 = op(e4,e1)
      & e2 = op(e1,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(ax1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3
      | op(e0,e0) = e4 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3
      | op(e0,e1) = e4 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3
      | op(e0,e2) = e4 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3
      | op(e0,e3) = e4 )
    & ( op(e0,e4) = e0
      | op(e0,e4) = e1
      | op(e0,e4) = e2
      | op(e0,e4) = e3
      | op(e0,e4) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3
      | op(e1,e0) = e4 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3
      | op(e1,e1) = e4 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3
      | op(e1,e2) = e4 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3
      | op(e1,e3) = e4 )
    & ( op(e1,e4) = e0
      | op(e1,e4) = e1
      | op(e1,e4) = e2
      | op(e1,e4) = e3
      | op(e1,e4) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3
      | op(e2,e0) = e4 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3
      | op(e2,e1) = e4 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3
      | op(e2,e2) = e4 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3
      | op(e2,e3) = e4 )
    & ( op(e2,e4) = e0
      | op(e2,e4) = e1
      | op(e2,e4) = e2
      | op(e2,e4) = e3
      | op(e2,e4) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3
      | op(e3,e0) = e4 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3
      | op(e3,e1) = e4 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3
      | op(e3,e2) = e4 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3
      | op(e3,e3) = e4 )
    & ( op(e3,e4) = e0
      | op(e3,e4) = e1
      | op(e3,e4) = e2
      | op(e3,e4) = e3
      | op(e3,e4) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e0) = e1
      | op(e4,e0) = e2
      | op(e4,e0) = e3
      | op(e4,e0) = e4 )
    & ( op(e4,e1) = e0
      | op(e4,e1) = e1
      | op(e4,e1) = e2
      | op(e4,e1) = e3
      | op(e4,e1) = e4 )
    & ( op(e4,e2) = e0
      | op(e4,e2) = e1
      | op(e4,e2) = e2
      | op(e4,e2) = e3
      | op(e4,e2) = e4 )
    & ( op(e4,e3) = e0
      | op(e4,e3) = e1
      | op(e4,e3) = e2
      | op(e4,e3) = e3
      | op(e4,e3) = e4 )
    & ( op(e4,e4) = e0
      | op(e4,e4) = e1
      | op(e4,e4) = e2
      | op(e4,e4) = e3
      | op(e4,e4) = e4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(ax80,axiom,
    ~ ( e3 = op(op(e2,e1),op(e2,e1))
      & e0 = op(e2,e1)
      & e4 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(ax88,axiom,
    ~ ( e3 = op(op(e0,e2),op(e0,e2))
      & e1 = op(e0,e2)
      & e4 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

fof(ax55,axiom,
    ~ ( e2 = op(op(e4,e1),op(e4,e1))
      & e0 = op(e4,e1)
      & e3 = op(e1,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(ax56,axiom,
    ~ ( e2 = op(op(e3,e1),op(e3,e1))
      & e0 = op(e3,e1)
      & e4 = op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(ax64,axiom,
    ~ ( e2 = op(op(e0,e3),op(e0,e3))
      & e1 = op(e0,e3)
      & e4 = op(e3,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(ax32,axiom,
    ~ ( e1 = op(op(e3,e2),op(e3,e2))
      & e0 = op(e3,e2)
      & e4 = op(e2,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(ax34,axiom,
    ~ ( e1 = op(op(e2,e3),op(e2,e3))
      & e0 = op(e2,e3)
      & e4 = op(e3,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(ax27,axiom,
    ~ ( e0 = op(op(e3,e2),op(e3,e2))
      & e4 = op(e3,e2)
      & e1 = op(e2,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(ax17,axiom,
    ~ ( e0 = op(op(e3,e4),op(e3,e4))
      & e2 = op(e3,e4)
      & e1 = op(e4,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

cnf(c_0_18,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_19,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | unit = e4 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_20,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_21,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_22,plain,
    op(e1,e3) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_23,plain,
    ( op(e1,e4) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_25,plain,
    op(e0,e1) != op(e0,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_26,plain,
    ( op(e0,e4) = e0
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_20,c_0_19]) ).

cnf(c_0_27,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_28,plain,
    op(e0,e2) != op(e0,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_29,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_30,plain,
    op(e3,e1) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_31,plain,
    ( op(e3,e4) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_19]) ).

cnf(c_0_32,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_33,plain,
    ( op(e1,e3) = e1
    | op(e1,e1) != e3 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_34,plain,
    op(e0,e3) != op(e0,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_35,plain,
    ( op(e4,e3) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_24,c_0_19]) ).

cnf(c_0_36,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e4,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_37,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_38,plain,
    op(unit,e0) = e0,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_39,plain,
    op(e1,e0) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_40,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_41,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) != e1 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_42,plain,
    op(e2,e0) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_43,plain,
    ( op(e2,e4) = e2
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_19]) ).

cnf(c_0_44,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_26]) ).

cnf(c_0_45,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) != e2 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_46,plain,
    ( op(e4,e1) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_29,c_0_19]) ).

cnf(c_0_47,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e4,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_48,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_49,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_50,plain,
    op(e3,e0) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_51,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_26]) ).

cnf(c_0_52,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) != e3 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_53,plain,
    ( op(e3,e1) = e3
    | op(e3,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_54,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_32]) ).

cnf(c_0_55,plain,
    ( op(e4,e0) = e0
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_38,c_0_19]) ).

cnf(c_0_56,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e4,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_57,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_58,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_23]) ).

cnf(c_0_59,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_60,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | op(e4,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_61,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_62,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_63,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_64,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_65,plain,
    op(e1,e2) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_66,plain,
    op(e3,e1) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_67,plain,
    op(e2,e1) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_68,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_69,plain,
    ( op(e2,e1) = e3
    | op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_37]),c_0_48]),c_0_49]) ).

cnf(c_0_70,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(e4,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_71,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_72,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_50,c_0_31]) ).

cnf(c_0_73,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_74,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_75,plain,
    ( op(e0,e3) = e1
    | op(e2,e3) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_48]) ).

cnf(c_0_76,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).

cnf(c_0_77,plain,
    ( op(e3,e0) = e2
    | op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_60]),c_0_61]),c_0_62]),c_0_63]) ).

cnf(c_0_78,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_79,plain,
    ( op(e4,e2) = e2
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_19]) ).

cnf(c_0_80,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e4,e2) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_81,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_65,c_0_23]) ).

cnf(c_0_82,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e4) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_83,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_66,c_0_46]) ).

cnf(c_0_84,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e4) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_85,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_67,c_0_46]) ).

cnf(c_0_86,plain,
    ( op(e0,e1) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_87,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_70]),c_0_71]),c_0_72]),c_0_73]) ).

cnf(c_0_88,plain,
    ( op(e0,e3) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_89,plain,
    ( op(e1,e0) = e2
    | op(e2,e0) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_90,plain,
    op(e2,e3) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_91,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_92,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_78]),c_0_81]) ).

cnf(c_0_93,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e4,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_94,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_82]),c_0_37]),c_0_83]) ).

cnf(c_0_95,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_96,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_84]),c_0_78]),c_0_85]) ).

cnf(c_0_97,plain,
    ( op(e1,e0) = e3
    | op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_98,plain,
    ( op(e1,e0) = e2
    | op(e0,e3) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_99,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_100,plain,
    op(e3,e2) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_101,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_90,c_0_43]) ).

cnf(c_0_102,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) != e3 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_103,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_104,plain,
    op(e2,e1) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_105,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_93]),c_0_61]),c_0_44]) ).

cnf(c_0_106,plain,
    ( op(e3,e0) = e1
    | op(e3,e2) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_94]),c_0_48]) ).

cnf(c_0_107,plain,
    ( op(e2,e0) = e1
    | op(e2,e2) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_108,plain,
    ( op(e0,e3) = e1
    | op(e0,e1) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).

cnf(c_0_109,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e4,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_110,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_100,c_0_31]) ).

cnf(c_0_111,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_112,plain,
    ( op(e2,e1) = e2
    | op(e2,e2) != e1 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_113,plain,
    ( op(e2,e0) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_103,c_0_76]) ).

cnf(c_0_114,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_104,c_0_43]) ).

cnf(c_0_115,plain,
    op(e0,e1) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_116,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_117,plain,
    ( op(e3,e0) = e1
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_57]) ).

cnf(c_0_118,plain,
    ( op(e0,e1) = e3
    | op(e2,e2) = e1
    | op(e2,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_119,plain,
    op(e0,e2) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_120,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_121,plain,
    ( op(e1,e2) = e3
    | op(e0,e2) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_109]),c_0_99]),c_0_110]),c_0_111]) ).

cnf(c_0_122,plain,
    ( op(e0,e2) = e1
    | op(e2,e0) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

cnf(c_0_123,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e4) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_124,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_115,c_0_46]) ).

cnf(c_0_125,plain,
    ( op(e0,e0) = e4
    | op(e0,e1) = e4
    | op(e0,e2) = e4
    | op(e0,e3) = e4
    | op(e0,e4) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_126,plain,
    e0 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_127,plain,
    ( op(e2,e2) = e0
    | op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_128,plain,
    ( op(e2,e0) = e1
    | op(e0,e1) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_118]),c_0_114]) ).

cnf(c_0_129,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e4) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_130,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_119,c_0_79]) ).

cnf(c_0_131,plain,
    op(e0,e3) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_132,plain,
    ( op(e0,e2) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_133,plain,
    ( op(e0,e2) = e1
    | op(e1,e0) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_122]),c_0_37]) ).

cnf(c_0_134,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_123]),c_0_57]),c_0_124]),c_0_59]) ).

cnf(c_0_135,plain,
    ( op(e0,e3) = e4
    | op(e0,e2) = e4
    | op(e0,e1) = e4
    | op(e0,e0) = e4
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_125]),c_0_126]) ).

cnf(c_0_136,plain,
    e1 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

fof(c_0_137,plain,
    ( e4 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,e2)
    | e3 != op(e2,e1) ),
    inference(fof_nnf,[status(thm)],[ax106]) ).

cnf(c_0_138,plain,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_139,plain,
    ( op(e0,e1) = e3
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_140,plain,
    ( op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e4,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_141,plain,
    ( op(e0,e3) = e2
    | op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_129]),c_0_61]),c_0_130]),c_0_63]) ).

cnf(c_0_142,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,e4) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_143,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_131,c_0_35]) ).

cnf(c_0_144,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_145,plain,
    ( op(e0,e0) = e4
    | op(e0,e1) = e4
    | op(e0,e2) = e4
    | op(e0,e2) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_146,plain,
    e3 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_147,plain,
    ( e4 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,e2)
    | e3 != op(e2,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_148,plain,
    ( op(e1,e2) = e0
    | op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_62]) ).

cnf(c_0_149,plain,
    ( op(e3,e0) = e3
    | op(e3,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_150,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e1,e3) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_140]),c_0_71]),c_0_51]) ).

cnf(c_0_151,plain,
    ( op(e0,e1) = e2
    | op(e0,e2) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_141]),c_0_78]) ).

cnf(c_0_152,plain,
    ( op(e0,e2) = e3
    | op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_142]),c_0_71]),c_0_143]),c_0_73]) ).

cnf(c_0_153,plain,
    ( op(e0,e2) = e1
    | op(e0,e1) = e4
    | op(e0,e0) = e4
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_136]),c_0_146]) ).

cnf(c_0_154,plain,
    ( op(e0,e1) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_69]) ).

cnf(c_0_155,plain,
    op(e2,e0) != op(e4,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_156,plain,
    ( op(e1,e3) = e0
    | op(e2,e3) = e0
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_72]) ).

cnf(c_0_157,plain,
    op(e2,e3) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_158,plain,
    op(e0,e1) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_159,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_37]) ).

cnf(c_0_160,plain,
    ( op(e0,e1) = e4
    | op(e0,e1) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_37]),c_0_154]) ).

cnf(c_0_161,plain,
    e2 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_162,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_163,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_55]) ).

cnf(c_0_164,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_165,plain,
    ( op(e2,e0) = e1
    | op(e2,e2) = e1
    | op(e1,e3) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_96]),c_0_57]) ).

cnf(c_0_166,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3
    | op(e2,e4) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_167,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_157,c_0_35]) ).

cnf(c_0_168,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_169,plain,
    ( op(e0,e2) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_158,c_0_144]) ).

cnf(c_0_170,plain,
    ( op(e0,e1) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_146]),c_0_161]) ).

cnf(c_0_171,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_172,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_162]),c_0_61]),c_0_163]) ).

cnf(c_0_173,plain,
    ( op(e1,e3) = e0
    | op(e2,e0) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_122]) ).

cnf(c_0_174,plain,
    op(e0,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_175,plain,
    ( op(e2,e1) = e3
    | op(e2,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_166]),c_0_99]),c_0_167]),c_0_111]) ).

cnf(c_0_176,plain,
    ( op(e0,e0) = e4
    | op(e1,e0) = e4
    | op(e2,e0) = e4
    | op(e3,e0) = e4
    | op(e4,e0) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_177,plain,
    ( op(e3,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_168,c_0_106]) ).

cnf(c_0_178,plain,
    ( op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_179,plain,
    ( op(e2,e1) = e0
    | op(e2,e2) = e0
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_180,plain,
    ( op(e1,e3) = e0
    | op(e1,e0) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_173]),c_0_37]) ).

cnf(c_0_181,plain,
    op(e1,e3) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_182,plain,
    ( op(e2,e0) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_183,plain,
    ( op(e3,e0) = e4
    | op(e2,e0) = e4
    | op(e1,e0) = e4
    | op(e0,e0) = e4
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_176]),c_0_126]) ).

cnf(c_0_184,plain,
    ( op(e3,e0) = e1
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

fof(c_0_185,plain,
    ( e4 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1)
    | e3 != op(e1,e2) ),
    inference(fof_nnf,[status(thm)],[ax104]) ).

cnf(c_0_186,plain,
    ( op(e1,e0) = e3
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_187,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e1,e4) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_188,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_181,c_0_35]) ).

cnf(c_0_189,plain,
    ( op(e2,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_182,c_0_170]) ).

cnf(c_0_190,plain,
    ( op(e0,e0) = e4
    | op(e1,e0) = e4
    | op(e2,e0) = e4
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_136]) ).

cnf(c_0_191,plain,
    ( e4 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1)
    | e3 != op(e1,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_185]) ).

cnf(c_0_192,plain,
    ( op(e2,e1) = e0
    | op(e1,e0) = e3
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_186]),c_0_62]) ).

cnf(c_0_193,plain,
    ( op(e1,e2) = e3
    | op(e1,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_187]),c_0_37]),c_0_188]),c_0_49]) ).

cnf(c_0_194,plain,
    ( op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_189]),c_0_37]) ).

cnf(c_0_195,plain,
    ( op(e1,e0) = e4
    | op(e0,e0) = e4
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_146]) ).

cnf(c_0_196,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_197,plain,
    ( op(e1,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | op(e0,e0) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).

cnf(c_0_198,plain,
    ( op(e0,e0) = e4
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_161]) ).

cnf(c_0_199,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_196,c_0_189]) ).

cnf(c_0_200,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).

cnf(c_0_201,plain,
    op(e4,unit) = e4,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_202,plain,
    ( op(e0,e4) = e0
    | op(e0,e0) != e4 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_203,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_204,plain,
    ( op(e0,e3) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_20,c_0_200]) ).

cnf(c_0_205,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_206,plain,
    op(e4,e2) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_207,plain,
    ( op(e4,e3) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_201,c_0_200]) ).

cnf(c_0_208,plain,
    ( op(e4,e2) = e4
    | op(e4,e4) != e2 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_209,plain,
    ( op(e0,e4) = e2
    | op(e1,e4) = e2
    | op(e2,e4) = e2
    | op(e3,e4) = e2
    | op(e4,e4) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

fof(c_0_210,plain,
    ( e3 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1)
    | e2 != op(e1,e4) ),
    inference(fof_nnf,[status(thm)],[ax79]) ).

cnf(c_0_211,plain,
    ( op(e0,e3) != e0
    | op(e0,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_34,c_0_202]) ).

cnf(c_0_212,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_213,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_205,c_0_204]) ).

cnf(c_0_214,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_215,plain,
    op(unit,e4) = e4,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_216,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e4,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_217,plain,
    ( op(e3,e4) = e2
    | op(e2,e4) = e2
    | op(e1,e4) = e2
    | op(e0,e4) = e2
    | op(e4,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_218,plain,
    ( e3 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1)
    | e2 != op(e1,e4) ),
    inference(split_conjunct,[status(thm)],[c_0_210]) ).

cnf(c_0_219,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0
    | op(e4,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_220,plain,
    ( op(e0,e1) != e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_205,c_0_52]) ).

cnf(c_0_221,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_211,c_0_204]) ).

cnf(c_0_222,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_223,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_212,c_0_45]) ).

cnf(c_0_224,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_213,c_0_41]) ).

cnf(c_0_225,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_204]) ).

cnf(c_0_226,plain,
    ( op(e3,e4) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_215,c_0_200]) ).

cnf(c_0_227,plain,
    ( op(e0,e4) = e2
    | op(e1,e4) = e2
    | op(e2,e4) = e2
    | op(e3,e4) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_228,plain,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_229,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e0) != e3
    | op(e1,e4) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).

cnf(c_0_230,plain,
    ( op(e0,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224]),c_0_225]) ).

cnf(c_0_231,plain,
    ( op(e2,e4) = e2
    | op(e1,e4) = e2
    | op(e0,e4) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_161]) ).

cnf(c_0_232,plain,
    ( op(e2,e3) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_27,c_0_200]) ).

cnf(c_0_233,plain,
    op(e2,e4) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_234,plain,
    ( op(e2,e3) != e2
    | op(e2,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_90,c_0_228]) ).

cnf(c_0_235,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e4) != e2 ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_236,plain,
    ( op(e0,e4) = e2
    | op(e1,e4) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_231]),c_0_232]) ).

cnf(c_0_237,plain,
    ( op(e1,e4) = e1
    | op(e1,e1) != e4 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_238,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_233,c_0_226]) ).

cnf(c_0_239,plain,
    ( op(e2,e0) = e4
    | op(e2,e1) = e4
    | op(e2,e2) = e4
    | op(e2,e3) = e4
    | op(e2,e4) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_240,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_157,c_0_207]) ).

cnf(c_0_241,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_234,c_0_232]) ).

cnf(c_0_242,plain,
    ( op(e3,e1) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_29,c_0_200]) ).

cnf(c_0_243,plain,
    ( op(e0,e4) = e2
    | op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_244,plain,
    op(e4,e1) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_245,plain,
    ( op(e1,e3) != e1
    | op(e1,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_22,c_0_237]) ).

cnf(c_0_246,plain,
    ( op(e1,e3) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_18,c_0_200]) ).

fof(c_0_247,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1)
    | e4 != op(e1,e2) ),
    inference(fof_nnf,[status(thm)],[ax80]) ).

cnf(c_0_248,plain,
    op(e1,e4) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_249,plain,
    ( op(e2,e1) = e4
    | op(e2,e0) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]),c_0_241]) ).

cnf(c_0_250,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e4) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_57]) ).

cnf(c_0_251,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e4,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_244,c_0_207]) ).

cnf(c_0_252,plain,
    ( op(e0,e1) = e4
    | op(e1,e1) = e4
    | op(e2,e1) = e4
    | op(e3,e1) = e4
    | op(e4,e1) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_253,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e3,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_30,c_0_226]) ).

cnf(c_0_254,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_255,plain,
    op(e4,e0) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_256,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1)
    | e4 != op(e1,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_247]) ).

cnf(c_0_257,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_248,c_0_226]) ).

cnf(c_0_258,plain,
    ( op(e1,e0) = e4
    | op(e1,e1) = e4
    | op(e1,e2) = e4
    | op(e1,e3) = e4
    | op(e1,e4) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_259,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_181,c_0_207]) ).

cnf(c_0_260,plain,
    ( op(e0,e4) = e2
    | op(e1,e1) = e0
    | op(e2,e0) = e4
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_126]) ).

cnf(c_0_261,plain,
    ( op(e0,e2) = e4
    | op(e1,e2) = e4
    | op(e2,e2) = e4
    | op(e3,e2) = e4
    | op(e4,e2) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_262,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e3,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_100,c_0_226]) ).

cnf(c_0_263,plain,
    ( op(e2,e1) = e4
    | op(e0,e1) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_254]) ).

cnf(c_0_264,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_255,c_0_207]) ).

cnf(c_0_265,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e3,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_50,c_0_226]) ).

cnf(c_0_266,plain,
    ( op(e0,e4) = e2
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e2) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_250]),c_0_230]) ).

cnf(c_0_267,plain,
    ( op(e1,e2) = e4
    | op(e1,e0) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]),c_0_254]) ).

cnf(c_0_268,plain,
    ( op(e1,e1) = e0
    | op(e0,e4) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_196,c_0_260]) ).

cnf(c_0_269,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_270,plain,
    ( op(e1,e2) = e4
    | op(e0,e2) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_261]),c_0_262]),c_0_241]) ).

cnf(c_0_271,plain,
    ( op(e0,e1) = e4
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_68,c_0_263]) ).

cnf(c_0_272,plain,
    ( op(e2,e0) = e4
    | op(e1,e0) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_176]),c_0_265]),c_0_221]) ).

cnf(c_0_273,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_274,plain,
    ( op(e1,e1) = e0
    | op(e0,e4) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]) ).

cnf(c_0_275,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_269,c_0_246]) ).

cnf(c_0_276,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_277,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_278,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_279,plain,
    ( op(e0,e2) = e4
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_120,c_0_270]) ).

cnf(c_0_280,plain,
    ( op(e1,e0) = e4
    | op(e0,e1) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_281,plain,
    ( op(e0,e4) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]) ).

cnf(c_0_282,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_276,c_0_246]) ).

cnf(c_0_283,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_277,c_0_242]) ).

fof(c_0_284,plain,
    ( e3 != op(op(e0,e2),op(e0,e2))
    | e1 != op(e0,e2)
    | e4 != op(e2,e0) ),
    inference(fof_nnf,[status(thm)],[ax88]) ).

cnf(c_0_285,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_278,c_0_246]) ).

cnf(c_0_286,plain,
    ( op(e1,e2) = e1
    | op(e1,e1) != e2 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_287,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_288,plain,
    ( op(e0,e1) = e4
    | op(e0,e2) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_289,plain,
    ( op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_281]),c_0_78]),c_0_282]),c_0_283]),c_0_224]) ).

cnf(c_0_290,plain,
    ( e3 != op(op(e0,e2),op(e0,e2))
    | e1 != op(e0,e2)
    | e4 != op(e2,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_284]) ).

cnf(c_0_291,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_292,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_293,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_246]) ).

cnf(c_0_294,plain,
    ( op(e2,e0) = e4
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_174,c_0_249]) ).

cnf(c_0_295,plain,
    ( op(e0,e1) = e4
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_136]) ).

cnf(c_0_296,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e1) != e3
    | op(e2,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_290,c_0_289]) ).

cnf(c_0_297,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_291]),c_0_292]),c_0_293]) ).

cnf(c_0_298,plain,
    ( op(e2,e0) = e4
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_299,plain,
    ( op(e1,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]) ).

cnf(c_0_300,plain,
    ( unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_299]),c_0_275]) ).

cnf(c_0_301,plain,
    ( op(e4,e3) = e4
    | op(e4,e4) != e3 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_302,plain,
    ( op(e0,e4) = e3
    | op(e1,e4) = e3
    | op(e2,e4) = e3
    | op(e3,e4) = e3
    | op(e4,e4) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_303,plain,
    ( op(e3,e4) = e3
    | op(e3,e3) != e4 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_304,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_305,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_306,plain,
    ( op(e0,e2) != e0
    | op(e0,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_28,c_0_202]) ).

cnf(c_0_307,plain,
    ( op(e0,e2) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_20,c_0_300]) ).

cnf(c_0_308,plain,
    ( op(e3,e4) = e3
    | op(e2,e4) = e3
    | op(e1,e4) = e3
    | op(e0,e4) = e3
    | op(e4,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_309,plain,
    ( op(e3,e2) != e3
    | op(e3,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_100,c_0_303]) ).

cnf(c_0_310,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

fof(c_0_311,plain,
    ( e2 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1)
    | e3 != op(e1,e4) ),
    inference(fof_nnf,[status(thm)],[ax55]) ).

cnf(c_0_312,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e0) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]) ).

cnf(c_0_313,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_158,c_0_307]) ).

cnf(c_0_314,plain,
    ( op(e0,e2) != e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_203,c_0_52]) ).

cnf(c_0_315,plain,
    ( op(e0,e4) = e3
    | op(e1,e4) = e3
    | op(e2,e4) = e3
    | op(e3,e4) = e3
    | op(e4,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_206,c_0_308]) ).

cnf(c_0_316,plain,
    ( op(e4,e2) = e4
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_201,c_0_300]) ).

cnf(c_0_317,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_318,plain,
    ( op(e3,e2) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_300]) ).

cnf(c_0_319,plain,
    ( op(e3,e0) = e4
    | op(e3,e1) = e4
    | op(e3,e2) = e4
    | op(e3,e3) = e4
    | op(e3,e4) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_320,plain,
    op(e3,e2) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_321,plain,
    ( e2 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1)
    | e3 != op(e1,e4) ),
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_322,plain,
    ( op(e0,e1) != e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_158,c_0_45]) ).

cnf(c_0_323,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_312,c_0_222]) ).

cnf(c_0_324,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_304,c_0_307]) ).

cnf(c_0_325,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_313,c_0_41]) ).

cnf(c_0_326,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_314,c_0_307]) ).

cnf(c_0_327,plain,
    ( op(e3,e4) = e3
    | op(e2,e4) = e3
    | op(e1,e4) = e3
    | op(e0,e4) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

cnf(c_0_328,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_329,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_330,plain,
    ( op(e2,e3) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_24,c_0_300]) ).

cnf(c_0_331,plain,
    ( op(e3,e3) = e4
    | op(e3,e2) = e4
    | op(e3,e1) = e4
    | op(e3,e0) = e4
    | op(e2,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_233,c_0_319]) ).

cnf(c_0_332,plain,
    ( op(e2,e4) = e4
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_215,c_0_300]) ).

cnf(c_0_333,plain,
    ( unit = e0
    | unit = e1
    | op(e3,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_320,c_0_316]) ).

cnf(c_0_334,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e0) != e2
    | op(e1,e4) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_219]),c_0_322]) ).

cnf(c_0_335,plain,
    ( op(e0,e0) = e2
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[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_323,c_0_307]),c_0_57]),c_0_61]),c_0_71]),c_0_324]),c_0_325]),c_0_326]) ).

cnf(c_0_336,plain,
    ( op(e0,e4) = e3
    | op(e1,e4) = e3
    | op(e2,e4) = e3
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_327]),c_0_318]) ).

cnf(c_0_337,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]) ).

cnf(c_0_338,plain,
    ( op(e3,e0) = e4
    | op(e3,e1) = e4
    | op(e3,e3) = e4
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).

cnf(c_0_339,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0
    | unit = e1
    | unit = e0
    | op(e1,e4) != e3 ),
    inference(spm,[status(thm)],[c_0_334,c_0_335]) ).

cnf(c_0_340,plain,
    ( op(e1,e4) = e3
    | op(e0,e4) = e3
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_336]),c_0_146]) ).

fof(c_0_341,plain,
    ( e2 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,e1)
    | e4 != op(e1,e3) ),
    inference(fof_nnf,[status(thm)],[ax56]) ).

cnf(c_0_342,plain,
    op(e1,e4) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_343,plain,
    op(e1,e2) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_344,plain,
    ( op(e1,e2) != e1
    | op(e1,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_65,c_0_237]) ).

cnf(c_0_345,plain,
    ( op(e1,e2) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_300]) ).

cnf(c_0_346,plain,
    ( op(e3,e1) = e4
    | op(e3,e0) = e4
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_161]),c_0_136]),c_0_126]) ).

cnf(c_0_347,plain,
    ( op(e0,e4) = e3
    | op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_348,plain,
    ( op(e0,e3) = e4
    | op(e1,e3) = e4
    | op(e2,e3) = e4
    | op(e3,e3) = e4
    | op(e4,e3) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_349,plain,
    op(e4,e1) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_350,plain,
    ( e2 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,e1)
    | e4 != op(e1,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_351,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_342,c_0_332]) ).

cnf(c_0_352,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_343,c_0_316]) ).

cnf(c_0_353,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_354,plain,
    op(e1,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_355,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e4) = e3
    | op(e3,e0) = e4
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_126]) ).

cnf(c_0_356,plain,
    ( op(e3,e3) = e4
    | op(e2,e3) = e4
    | op(e1,e3) = e4
    | op(e0,e3) = e4
    | op(e4,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_206,c_0_348]) ).

cnf(c_0_357,plain,
    ( unit = e0
    | unit = e1
    | op(e2,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_90,c_0_332]) ).

cnf(c_0_358,plain,
    ( unit = e0
    | unit = e1
    | op(e4,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_349,c_0_316]) ).

cnf(c_0_359,plain,
    ( unit = e0
    | unit = e1
    | op(e2,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_104,c_0_332]) ).

cnf(c_0_360,plain,
    op(e4,e0) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_361,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e4) = e3
    | unit = e1
    | unit = e0
    | op(e1,e3) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_347]),c_0_335]) ).

cnf(c_0_362,plain,
    ( op(e1,e3) = e4
    | op(e1,e0) = e4
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_258]),c_0_352]),c_0_353]) ).

cnf(c_0_363,plain,
    ( op(e0,e4) = e3
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | op(e1,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_364,plain,
    ( op(e0,e3) = e4
    | op(e1,e3) = e4
    | op(e3,e3) = e4
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_316]),c_0_357]) ).

cnf(c_0_365,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_366,plain,
    ( op(e3,e1) = e4
    | op(e0,e1) = e4
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_252]),c_0_359]),c_0_353]) ).

cnf(c_0_367,plain,
    ( unit = e0
    | unit = e1
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_360,c_0_316]) ).

cnf(c_0_368,plain,
    ( unit = e0
    | unit = e1
    | op(e2,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_42,c_0_332]) ).

cnf(c_0_369,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_370,plain,
    ( op(e2,e1) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_29,c_0_300]) ).

cnf(c_0_371,plain,
    ( op(e0,e4) = e3
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]) ).

cnf(c_0_372,plain,
    ( op(e1,e3) = e4
    | op(e0,e3) = e4
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_364]),c_0_161]),c_0_136]),c_0_126]) ).

cnf(c_0_373,plain,
    ( op(e0,e1) = e4
    | unit = e0
    | unit = e1
    | op(e3,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_365,c_0_366]) ).

cnf(c_0_374,plain,
    ( op(e3,e0) = e4
    | op(e1,e0) = e4
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_176]),c_0_368]),c_0_369]) ).

cnf(c_0_375,plain,
    ( op(e1,e1) = e0
    | op(e0,e4) = e3
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_57]) ).

cnf(c_0_376,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_120,c_0_345]) ).

cnf(c_0_377,plain,
    op(e0,e2) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_378,plain,
    ( op(e0,e3) = e4
    | unit = e1
    | unit = e0
    | op(e1,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_269,c_0_372]) ).

cnf(c_0_379,plain,
    ( op(e1,e0) = e4
    | op(e0,e1) = e4
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_380,plain,
    ( op(e0,e4) = e3
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_375]),c_0_376]) ).

cnf(c_0_381,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_377,c_0_345]) ).

cnf(c_0_382,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_174,c_0_370]) ).

cnf(c_0_383,plain,
    ( op(e0,e1) = e4
    | op(e0,e3) = e4
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_384,plain,
    ( op(e0,e3) = e1
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_380]),c_0_37]),c_0_381]),c_0_382]),c_0_325]) ).

fof(c_0_385,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,e3)
    | e4 != op(e3,e0) ),
    inference(fof_nnf,[status(thm)],[ax64]) ).

cnf(c_0_386,plain,
    ( op(e3,e0) = e4
    | unit = e1
    | unit = e0
    | op(e0,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_277,c_0_346]) ).

cnf(c_0_387,plain,
    ( op(e0,e1) = e4
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_136]) ).

cnf(c_0_388,plain,
    ( op(e1,e2) != e1
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_278,c_0_33]) ).

cnf(c_0_389,plain,
    op(e1,e1) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_390,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,e3)
    | e4 != op(e3,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_391,plain,
    ( op(e3,e0) = e4
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_392,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_388,c_0_345]) ).

cnf(c_0_393,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_389,c_0_345]) ).

cnf(c_0_394,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_384]),c_0_391]) ).

cnf(c_0_395,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_291]),c_0_392]),c_0_393]) ).

cnf(c_0_396,plain,
    ( op(e1,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_397,plain,
    ( unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_396]),c_0_376]) ).

cnf(c_0_398,plain,
    ( op(e3,e1) != e3
    | op(e3,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_30,c_0_303]) ).

cnf(c_0_399,plain,
    op(e4,e0) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_400,plain,
    ( op(e4,e1) = e4
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_201,c_0_397]) ).

cnf(c_0_401,plain,
    ( op(e1,e4) = e4
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_215,c_0_397]) ).

cnf(c_0_402,plain,
    ( op(e0,e1) != e0
    | op(e0,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_25,c_0_202]) ).

cnf(c_0_403,plain,
    ( op(e0,e1) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_20,c_0_397]) ).

cnf(c_0_404,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_398,c_0_310]) ).

cnf(c_0_405,plain,
    ( op(e3,e1) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_397]) ).

cnf(c_0_406,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3
    | op(e3,e2) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_407,plain,
    ( unit = e0
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_408,plain,
    ( unit = e0
    | op(e1,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_39,c_0_401]) ).

cnf(c_0_409,plain,
    ( unit = e0
    | op(e0,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_410,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_411,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_404,c_0_405]) ).

cnf(c_0_412,plain,
    ( op(e1,e3) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_24,c_0_397]) ).

cnf(c_0_413,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_91,c_0_406]) ).

cnf(c_0_414,plain,
    ( op(e3,e0) = e4
    | op(e2,e0) = e4
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_176]),c_0_408]),c_0_409]) ).

cnf(c_0_415,plain,
    ( op(e3,e2) = e3
    | op(e3,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_416,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412]) ).

cnf(c_0_417,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_418,plain,
    ( op(e2,e0) = e4
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

cnf(c_0_419,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_420,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e2) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_421,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_422,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e2,e0) = e4
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_405]) ).

cnf(c_0_423,plain,
    ( op(e1,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_397]) ).

cnf(c_0_424,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_425,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3
    | op(e0,e1) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_426,plain,
    op(e2,e1) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_427,plain,
    ( op(e3,e2) = e3
    | op(e3,e3) = e0
    | unit = e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_419,c_0_420]) ).

cnf(c_0_428,plain,
    ( op(e2,e0) = e4
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_423]) ).

cnf(c_0_429,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e0) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_402]) ).

cnf(c_0_430,plain,
    ( op(e2,e1) != e2
    | op(e2,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_104,c_0_228]) ).

cnf(c_0_431,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_432,plain,
    ( op(e2,e1) != e2
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_426,c_0_102]) ).

fof(c_0_433,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | e0 != op(e3,e2)
    | e4 != op(e2,e3) ),
    inference(fof_nnf,[status(thm)],[ax32]) ).

cnf(c_0_434,plain,
    ( op(e3,e2) = e0
    | op(e2,e0) = e4
    | op(e3,e3) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_37]) ).

cnf(c_0_435,plain,
    ( unit = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_365,c_0_405]) ).

cnf(c_0_436,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_429,c_0_222]) ).

cnf(c_0_437,plain,
    ( unit = e0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_424,c_0_403]) ).

cnf(c_0_438,plain,
    ( unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_322,c_0_403]) ).

cnf(c_0_439,plain,
    ( unit = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_220,c_0_403]) ).

cnf(c_0_440,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_431]),c_0_432]) ).

cnf(c_0_441,plain,
    ( op(e2,e1) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_397]) ).

cnf(c_0_442,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | e0 != op(e3,e2)
    | e4 != op(e2,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_443,plain,
    ( op(e2,e0) = e4
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_434]),c_0_435]) ).

cnf(c_0_444,plain,
    ( op(e0,e0) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[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_436,c_0_403]),c_0_57]),c_0_61]),c_0_71]),c_0_437]),c_0_438]),c_0_439]) ).

cnf(c_0_445,plain,
    ( op(e2,e3) = e4
    | op(e2,e2) = e4
    | op(e2,e1) = e4
    | op(e2,e0) = e4
    | op(e1,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_342,c_0_239]) ).

cnf(c_0_446,plain,
    ( unit = e0
    | op(e2,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_67,c_0_400]) ).

cnf(c_0_447,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_448,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_440,c_0_441]) ).

cnf(c_0_449,plain,
    ( op(e2,e0) = e4
    | unit = e0
    | op(e2,e3) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_444]) ).

cnf(c_0_450,plain,
    ( op(e2,e0) = e4
    | op(e2,e2) = e4
    | op(e2,e3) = e4
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_401]),c_0_446]) ).

cnf(c_0_451,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | op(e2,e3) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_452,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_448]),c_0_423]) ).

cnf(c_0_453,plain,
    ( op(e2,e2) = e4
    | op(e2,e0) = e4
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_454,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e2,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_74,c_0_451]) ).

cnf(c_0_455,plain,
    ( op(e2,e0) = e4
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_136]),c_0_126]) ).

cnf(c_0_456,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_455]) ).

cnf(c_0_457,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_456]),c_0_412]) ).

cnf(c_0_458,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_459,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_457]),c_0_441]) ).

fof(c_0_460,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3)
    | e4 != op(e3,e2) ),
    inference(fof_nnf,[status(thm)],[ax34]) ).

cnf(c_0_461,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_462,plain,
    ( op(e3,e3) = e4
    | op(e3,e2) = e4
    | op(e3,e1) = e4
    | op(e3,e0) = e4
    | op(e1,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_248,c_0_319]) ).

cnf(c_0_463,plain,
    ( unit = e0
    | op(e3,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_66,c_0_400]) ).

cnf(c_0_464,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3)
    | e4 != op(e3,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_465,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_461,c_0_452]) ).

cnf(c_0_466,plain,
    ( op(e3,e0) = e4
    | op(e3,e2) = e4
    | op(e3,e3) = e4
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_401]),c_0_463]) ).

cnf(c_0_467,plain,
    ( op(e2,e2) = e0
    | unit = e0
    | op(e3,e2) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_444]) ).

cnf(c_0_468,plain,
    ( op(e3,e2) = e4
    | op(e3,e0) = e4
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_466]),c_0_161]),c_0_136]),c_0_126]) ).

cnf(c_0_469,plain,
    ( op(e3,e0) = e4
    | op(e2,e2) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_467,c_0_468]) ).

cnf(c_0_470,plain,
    ( op(e2,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_469]),c_0_455]) ).

cnf(c_0_471,plain,
    ( unit = e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_68,c_0_441]) ).

cnf(c_0_472,plain,
    op(e0,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_473,plain,
    ( op(e4,e4) = e0
    | op(e4,e4) = e1
    | op(e4,e4) = e2
    | op(e4,e4) = e3
    | op(e4,e4) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_474,plain,
    unit = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_470]),c_0_471]) ).

cnf(c_0_475,plain,
    ( op(e4,e4) = e3
    | op(e4,e4) = e2
    | op(e4,e4) = e1
    | op(e4,e4) = e0
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_476,plain,
    op(e0,e4) = e4,
    inference(rw,[status(thm)],[c_0_215,c_0_474]) ).

cnf(c_0_477,plain,
    op(e4,e0) = e4,
    inference(rw,[status(thm)],[c_0_201,c_0_474]) ).

cnf(c_0_478,plain,
    ( op(e4,e4) = e0
    | op(e4,e4) = e1
    | op(e4,e4) = e2
    | op(e4,e4) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_476])]) ).

cnf(c_0_479,plain,
    op(e4,e3) != e4,
    inference(rw,[status(thm)],[c_0_255,c_0_477]) ).

cnf(c_0_480,plain,
    ( op(e2,e0) != e2
    | op(e2,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_42,c_0_228]) ).

cnf(c_0_481,plain,
    ( op(e2,e0) != e2
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_74,c_0_102]) ).

cnf(c_0_482,plain,
    op(e0,e2) = e2,
    inference(rw,[status(thm)],[c_0_64,c_0_474]) ).

cnf(c_0_483,plain,
    ( op(e1,e0) != e1
    | op(e1,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_39,c_0_237]) ).

cnf(c_0_484,plain,
    ( op(e1,e0) != e1
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_269,c_0_33]) ).

cnf(c_0_485,plain,
    ( op(e1,e0) != e1
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_120,c_0_286]) ).

cnf(c_0_486,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_487,plain,
    op(e0,e1) = e1,
    inference(rw,[status(thm)],[c_0_29,c_0_474]) ).

cnf(c_0_488,plain,
    ( op(e4,e4) = e2
    | op(e4,e4) = e1
    | op(e4,e4) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_478]),c_0_479]) ).

cnf(c_0_489,plain,
    op(e4,e2) != e4,
    inference(rw,[status(thm)],[c_0_360,c_0_477]) ).

cnf(c_0_490,plain,
    ( op(e4,e1) = e4
    | op(e4,e4) != e1 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_491,plain,
    ( op(e0,e4) = e1
    | op(e1,e4) = e1
    | op(e2,e4) = e1
    | op(e3,e4) = e1
    | op(e4,e4) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_492,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_431]),c_0_481]) ).

cnf(c_0_493,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_27,c_0_474]) ).

cnf(c_0_494,plain,
    op(e2,e2) != e2,
    inference(rw,[status(thm)],[c_0_164,c_0_482]) ).

cnf(c_0_495,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e1,e0) != e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_291]),c_0_484]),c_0_485]) ).

cnf(c_0_496,plain,
    op(e1,e0) = e1,
    inference(rw,[status(thm)],[c_0_18,c_0_474]) ).

cnf(c_0_497,plain,
    op(e1,e1) != e1,
    inference(rw,[status(thm)],[c_0_486,c_0_487]) ).

cnf(c_0_498,plain,
    op(e0,e4) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_499,plain,
    ( op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e4) = e2
    | op(e3,e4) = e3
    | op(e3,e4) = e4 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_500,plain,
    op(e3,e0) = e3,
    inference(rw,[status(thm)],[c_0_21,c_0_474]) ).

cnf(c_0_501,plain,
    ( op(e4,e4) = e0
    | op(e4,e4) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_488]),c_0_489]) ).

cnf(c_0_502,plain,
    op(e4,e1) != e4,
    inference(rw,[status(thm)],[c_0_399,c_0_477]) ).

cnf(c_0_503,plain,
    ( op(e3,e4) = e1
    | op(e2,e4) = e1
    | op(e1,e4) = e1
    | op(e0,e4) = e1
    | op(e4,e1) = e4 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

fof(c_0_504,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,e2)
    | e1 != op(e2,e3) ),
    inference(fof_nnf,[status(thm)],[ax27]) ).

cnf(c_0_505,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_493])]),c_0_494]) ).

cnf(c_0_506,plain,
    op(e2,e1) != e2,
    inference(rw,[status(thm)],[c_0_68,c_0_493]) ).

fof(c_0_507,plain,
    ( e0 != op(op(e3,e4),op(e3,e4))
    | e2 != op(e3,e4)
    | e1 != op(e4,e3) ),
    inference(fof_nnf,[status(thm)],[ax17]) ).

cnf(c_0_508,plain,
    ( op(e0,e4) = e2
    | op(e1,e4) = e2
    | op(e2,e4) = e2
    | op(e3,e4) = e2
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_360,c_0_217]) ).

cnf(c_0_509,plain,
    op(e2,e4) != e2,
    inference(rw,[status(thm)],[c_0_42,c_0_493]) ).

cnf(c_0_510,plain,
    ( op(e0,e4) = e0
    | op(e1,e4) = e0
    | op(e2,e4) = e0
    | op(e3,e4) = e0
    | op(e4,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_511,plain,
    ( op(e4,e0) = e1
    | op(e4,e1) = e1
    | op(e4,e2) = e1
    | op(e4,e3) = e1
    | op(e4,e4) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_512,plain,
    op(e1,e1) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_513,plain,
    op(e1,e1) = e0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_496])]),c_0_497]) ).

cnf(c_0_514,plain,
    ( op(e3,e4) = e3
    | op(e3,e4) = e2
    | op(e3,e4) = e1
    | op(e3,e4) = e0
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_515,plain,
    op(e3,e4) != e3,
    inference(rw,[status(thm)],[c_0_50,c_0_500]) ).

cnf(c_0_516,plain,
    op(e3,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_517,plain,
    op(e4,e4) = e0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_501]),c_0_502]) ).

cnf(c_0_518,plain,
    ( op(e0,e4) = e1
    | op(e1,e4) = e1
    | op(e2,e4) = e1
    | op(e3,e4) = e1
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_399,c_0_503]) ).

cnf(c_0_519,plain,
    op(e1,e4) != e1,
    inference(rw,[status(thm)],[c_0_39,c_0_496]) ).

cnf(c_0_520,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,e2)
    | e1 != op(e2,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_504]) ).

cnf(c_0_521,plain,
    op(e2,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_522,plain,
    op(e2,e2) = e0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_505]),c_0_506]) ).

cnf(c_0_523,plain,
    ( e0 != op(op(e3,e4),op(e3,e4))
    | e2 != op(e3,e4)
    | e1 != op(e4,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_524,plain,
    ( op(e3,e4) = e2
    | op(e1,e4) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_508,c_0_476]),c_0_161]),c_0_477])]),c_0_509]) ).

cnf(c_0_525,plain,
    ( op(e4,e3) = e1
    | op(e4,e2) = e1
    | op(e4,e1) = e1
    | op(e4,e0) = e1
    | op(e3,e4) = e0
    | op(e2,e4) = e0
    | op(e1,e4) = e0
    | op(e0,e4) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_57]) ).

cnf(c_0_526,plain,
    op(e4,e1) != e1,
    inference(rw,[status(thm)],[c_0_115,c_0_487]) ).

cnf(c_0_527,plain,
    op(e1,e4) != e0,
    inference(rw,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_528,plain,
    op(e2,e2) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_529,plain,
    ( op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e4) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_514,c_0_476])]),c_0_515]) ).

cnf(c_0_530,plain,
    op(e3,e4) != e0,
    inference(rw,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_531,plain,
    op(e0,e4) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_532,plain,
    ( op(e3,e4) = e1
    | op(e2,e4) = e1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_518,c_0_476]),c_0_136]),c_0_477])]),c_0_519]) ).

cnf(c_0_533,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e4,e4) != e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_520,c_0_406]) ).

cnf(c_0_534,plain,
    op(e3,e2) != e3,
    inference(rw,[status(thm)],[c_0_91,c_0_500]) ).

cnf(c_0_535,plain,
    op(e3,e2) != e2,
    inference(rw,[status(thm)],[c_0_168,c_0_482]) ).

cnf(c_0_536,plain,
    op(e3,e2) != e0,
    inference(rw,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_537,plain,
    ( op(e3,e0) != e3
    | op(e3,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_50,c_0_303]) ).

cnf(c_0_538,plain,
    ( op(e1,e4) = e2
    | op(e2,e2) != e0
    | op(e4,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_523,c_0_524]) ).

cnf(c_0_539,plain,
    ( op(e2,e4) = e0
    | op(e3,e4) = e0
    | op(e4,e2) = e1
    | op(e4,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_525,c_0_476]),c_0_126]),c_0_477]),c_0_526]),c_0_136]),c_0_527]) ).

cnf(c_0_540,plain,
    op(e2,e4) != e0,
    inference(rw,[status(thm)],[c_0_528,c_0_522]) ).

cnf(c_0_541,plain,
    ( op(e3,e4) = e2
    | op(e3,e4) = e1 ),
    inference(sr,[status(thm)],[c_0_529,c_0_530]) ).

cnf(c_0_542,plain,
    ( op(e2,e3) = e4
    | op(e2,e2) = e4
    | op(e2,e1) = e4
    | op(e2,e0) = e4
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_531,c_0_239]) ).

cnf(c_0_543,plain,
    ( op(e2,e4) = e1
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_100,c_0_532]) ).

cnf(c_0_544,plain,
    ( op(e3,e2) = e1
    | op(e2,e3) != e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_517])]),c_0_534]),c_0_535]),c_0_536]) ).

cnf(c_0_545,plain,
    ( op(e3,e3) = e4
    | op(e3,e2) = e4
    | op(e3,e1) = e4
    | op(e3,e0) = e4
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_498,c_0_319]) ).

cnf(c_0_546,plain,
    op(e3,e3) != e4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_500])]) ).

cnf(c_0_547,plain,
    ( op(e1,e4) = e2
    | op(e4,e3) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_522])]) ).

cnf(c_0_548,plain,
    ( op(e4,e3) = e1
    | op(e4,e2) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_539,c_0_540]),c_0_530]) ).

cnf(c_0_549,plain,
    ( op(e3,e4) = e1
    | op(e1,e4) != e2 ),
    inference(spm,[status(thm)],[c_0_248,c_0_541]) ).

cnf(c_0_550,plain,
    ( op(e2,e1) = e4
    | op(e2,e3) = e4 ),
    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_542,c_0_476])]),c_0_522]),c_0_493]),c_0_126]),c_0_161]) ).

cnf(c_0_551,plain,
    op(e0,e3) = e3,
    inference(rw,[status(thm)],[c_0_24,c_0_474]) ).

cnf(c_0_552,plain,
    ( op(e2,e4) = e1
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_543,c_0_544]) ).

cnf(c_0_553,plain,
    ( op(e3,e1) = e4
    | op(e3,e2) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_545,c_0_476])]),c_0_500]),c_0_546]),c_0_146]) ).

cnf(c_0_554,plain,
    ( op(e4,e2) = e1
    | op(e1,e4) = e2 ),
    inference(spm,[status(thm)],[c_0_547,c_0_548]) ).

cnf(c_0_555,plain,
    ( op(e3,e2) != e1
    | op(e1,e4) != e2 ),
    inference(spm,[status(thm)],[c_0_100,c_0_549]) ).

cnf(c_0_556,plain,
    op(e0,e4) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_557,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e2,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_426,c_0_451]) ).

cnf(c_0_558,plain,
    ( op(e2,e1) = e4
    | op(e1,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_171,c_0_550]) ).

cnf(c_0_559,plain,
    op(e2,e3) != e3,
    inference(rw,[status(thm)],[c_0_95,c_0_551]) ).

cnf(c_0_560,plain,
    op(e2,e3) != e2,
    inference(rw,[status(thm)],[c_0_74,c_0_493]) ).

cnf(c_0_561,plain,
    op(e2,e3) != e1,
    inference(spm,[status(thm)],[c_0_90,c_0_552]) ).

cnf(c_0_562,plain,
    op(e2,e3) != e0,
    inference(rw,[status(thm)],[c_0_458,c_0_522]) ).

cnf(c_0_563,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_417,c_0_406]) ).

cnf(c_0_564,plain,
    ( op(e3,e1) = e4
    | op(e1,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_421,c_0_553]) ).

cnf(c_0_565,plain,
    op(e3,e2) != e1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_554]),c_0_555]) ).

cnf(c_0_566,plain,
    ( op(e1,e3) = e4
    | op(e1,e2) = e4
    | op(e1,e1) = e4
    | op(e1,e0) = e4
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_556,c_0_258]) ).

cnf(c_0_567,plain,
    op(e1,e3) != e4,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_558]),c_0_559]),c_0_560]),c_0_561]),c_0_562]) ).

cnf(c_0_568,plain,
    op(e1,e2) != e4,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_534]),c_0_535]),c_0_565]),c_0_536]) ).

cnf(c_0_569,plain,
    $false,
    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_566,c_0_476])]),c_0_513]),c_0_496]),c_0_567]),c_0_568]),c_0_126]),c_0_136]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ALG097+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 28 05:20:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.47/0.56  start to proof: theBenchmark
% 0.52/1.08  % Version  : CSE_E---1.5
% 0.52/1.08  % Problem  : theBenchmark.p
% 0.52/1.08  % Proof found
% 0.52/1.08  % SZS status Theorem for theBenchmark.p
% 0.52/1.08  % SZS output start Proof
% See solution above
% 1.01/1.10  % Total time : 0.512000 s
% 1.01/1.10  % SZS output end Proof
% 1.01/1.10  % Total time : 0.520000 s
%------------------------------------------------------------------------------