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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:14:44 AM UTC 2026

% Result   : Unsatisfiable 3.67s 1.16s
% Output   : Refutation 4.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f4,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( op(e0,e0) != e0
    & op(e1,e1) != e1
    & op(e2,e2) != e2
    & op(e3,e3) != e3
    & ( ( ( op(e0,e0) != e0
          | op(e0,e0) = e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) = e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) = e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) = e3 )
        & ( op(e1,e0) != e0
          | op(e1,e0) = e0 )
        & ( op(e1,e1) != e0
          | op(e1,e0) = e1 )
        & ( op(e1,e2) != e0
          | op(e1,e0) = e2 )
        & ( op(e1,e3) != e0
          | op(e1,e0) = e3 )
        & ( op(e2,e0) != e0
          | op(e2,e0) = e0 )
        & ( op(e2,e1) != e0
          | op(e2,e0) = e1 )
        & ( op(e2,e2) != e0
          | op(e2,e0) = e2 )
        & ( op(e2,e3) != e0
          | op(e2,e0) = e3 )
        & ( op(e3,e0) != e0
          | op(e3,e0) = e0 )
        & ( op(e3,e1) != e0
          | op(e3,e0) = e1 )
        & ( op(e3,e2) != e0
          | op(e3,e0) = e2 )
        & ( op(e3,e3) != e0
          | op(e3,e0) = e3 ) )
      | ( ( op(e0,e0) != e1
          | op(e0,e1) = e0 )
        & ( op(e0,e1) != e1
          | op(e0,e1) = e1 )
        & ( op(e0,e2) != e1
          | op(e0,e1) = e2 )
        & ( op(e0,e3) != e1
          | op(e0,e1) = e3 )
        & ( op(e1,e0) != e1
          | op(e1,e1) = e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) = e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) = e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) = e3 )
        & ( op(e2,e0) != e1
          | op(e2,e1) = e0 )
        & ( op(e2,e1) != e1
          | op(e2,e1) = e1 )
        & ( op(e2,e2) != e1
          | op(e2,e1) = e2 )
        & ( op(e2,e3) != e1
          | op(e2,e1) = e3 )
        & ( op(e3,e0) != e1
          | op(e3,e1) = e0 )
        & ( op(e3,e1) != e1
          | op(e3,e1) = e1 )
        & ( op(e3,e2) != e1
          | op(e3,e1) = e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) = e3 ) )
      | ( ( op(e0,e0) != e2
          | op(e0,e2) = e0 )
        & ( op(e0,e1) != e2
          | op(e0,e2) = e1 )
        & ( op(e0,e2) != e2
          | op(e0,e2) = e2 )
        & ( op(e0,e3) != e2
          | op(e0,e2) = e3 )
        & ( op(e1,e0) != e2
          | op(e1,e2) = e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) = e1 )
        & ( op(e1,e2) != e2
          | op(e1,e2) = e2 )
        & ( op(e1,e3) != e2
          | op(e1,e2) = e3 )
        & ( op(e2,e0) != e2
          | op(e2,e2) = e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) = e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) = e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) = e3 )
        & ( op(e3,e0) != e2
          | op(e3,e2) = e0 )
        & ( op(e3,e1) != e2
          | op(e3,e2) = e1 )
        & ( op(e3,e2) != e2
          | op(e3,e2) = e2 )
        & ( op(e3,e3) != e2
          | op(e3,e2) = e3 ) )
      | ( ( op(e0,e0) != e3
          | op(e0,e3) = e0 )
        & ( op(e0,e1) != e3
          | op(e0,e3) = e1 )
        & ( op(e0,e2) != e3
          | op(e0,e3) = e2 )
        & ( op(e0,e3) != e3
          | op(e0,e3) = e3 )
        & ( op(e1,e0) != e3
          | op(e1,e3) = e0 )
        & ( op(e1,e1) != e3
          | op(e1,e3) = e1 )
        & ( op(e1,e2) != e3
          | op(e1,e3) = e2 )
        & ( op(e1,e3) != e3
          | op(e1,e3) = e3 )
        & ( op(e2,e0) != e3
          | op(e2,e3) = e0 )
        & ( op(e2,e1) != e3
          | op(e2,e3) = e1 )
        & ( op(e2,e2) != e3
          | op(e2,e3) = e2 )
        & ( op(e2,e3) != e3
          | op(e2,e3) = e3 )
        & ( op(e3,e0) != e3
          | op(e3,e3) = e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) = e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) = e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) = e3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f6,axiom,
    ~ ( e1 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(e0,e0),e0)
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f7,axiom,
    ~ ( e1 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f8,axiom,
    ~ ( e2 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

fof(f9,axiom,
    ~ ( e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

fof(f10,axiom,
    ~ ( e3 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f11,axiom,
    ~ ( e3 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(e0,e0),e0)
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f12,axiom,
    ~ ( e0 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f13,axiom,
    ~ ( e0 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(e1,e1),e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

fof(f14,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f15,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(e1,e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ~ ( e3 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ~ ( e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f18,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f19,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

fof(f20,axiom,
    ~ ( e1 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f21,axiom,
    ~ ( e1 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f22,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f23,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f24,axiom,
    ~ ( e0 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(e3,e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

fof(f25,axiom,
    ~ ( e0 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f26,axiom,
    ~ ( e1 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f27,axiom,
    ~ ( e1 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(f28,axiom,
    ~ ( e2 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f29,axiom,
    ~ ( e2 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(e3,e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).

fof(f30,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f6]) ).

fof(f31,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f7]) ).

fof(f32,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f8]) ).

fof(f33,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f9]) ).

fof(f34,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f35,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f11]) ).

fof(f36,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f37,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(e1,e1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f38,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f39,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f40,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(e1,e1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f41,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f42,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f43,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f44,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f45,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f46,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f47,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f48,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f49,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f50,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f51,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f52,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f53,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f54,definition,
    ( ( ( op(e0,e0) != e3
        | op(e0,e3) = e0 )
      & ( op(e0,e1) != e3
        | op(e0,e3) = e1 )
      & ( op(e0,e2) != e3
        | op(e0,e3) = e2 )
      & ( op(e0,e3) != e3
        | op(e0,e3) = e3 )
      & ( op(e1,e0) != e3
        | op(e1,e3) = e0 )
      & ( op(e1,e1) != e3
        | op(e1,e3) = e1 )
      & ( op(e1,e2) != e3
        | op(e1,e3) = e2 )
      & ( op(e1,e3) != e3
        | op(e1,e3) = e3 )
      & ( op(e2,e0) != e3
        | op(e2,e3) = e0 )
      & ( op(e2,e1) != e3
        | op(e2,e3) = e1 )
      & ( op(e2,e2) != e3
        | op(e2,e3) = e2 )
      & ( op(e2,e3) != e3
        | op(e2,e3) = e3 )
      & ( op(e3,e0) != e3
        | op(e3,e3) = e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) = e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) = e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) = e3 ) )
    | ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f55,definition,
    ( ( ( op(e0,e0) != e2
        | op(e0,e2) = e0 )
      & ( op(e0,e1) != e2
        | op(e0,e2) = e1 )
      & ( op(e0,e2) != e2
        | op(e0,e2) = e2 )
      & ( op(e0,e3) != e2
        | op(e0,e2) = e3 )
      & ( op(e1,e0) != e2
        | op(e1,e2) = e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) = e1 )
      & ( op(e1,e2) != e2
        | op(e1,e2) = e2 )
      & ( op(e1,e3) != e2
        | op(e1,e2) = e3 )
      & ( op(e2,e0) != e2
        | op(e2,e2) = e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) = e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) = e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) = e3 )
      & ( op(e3,e0) != e2
        | op(e3,e2) = e0 )
      & ( op(e3,e1) != e2
        | op(e3,e2) = e1 )
      & ( op(e3,e2) != e2
        | op(e3,e2) = e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) = e3 ) )
    | ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f56,definition,
    ( ( ( op(e0,e0) != e1
        | op(e0,e1) = e0 )
      & ( op(e0,e1) != e1
        | op(e0,e1) = e1 )
      & ( op(e0,e2) != e1
        | op(e0,e1) = e2 )
      & ( op(e0,e3) != e1
        | op(e0,e1) = e3 )
      & ( op(e1,e0) != e1
        | op(e1,e1) = e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) = e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) = e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) = e3 )
      & ( op(e2,e0) != e1
        | op(e2,e1) = e0 )
      & ( op(e2,e1) != e1
        | op(e2,e1) = e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) = e2 )
      & ( op(e2,e3) != e1
        | op(e2,e1) = e3 )
      & ( op(e3,e0) != e1
        | op(e3,e1) = e0 )
      & ( op(e3,e1) != e1
        | op(e3,e1) = e1 )
      & ( op(e3,e2) != e1
        | op(e3,e1) = e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) = e3 ) )
    | ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f57,definition,
    ( ( ( op(e0,e0) != e0
        | op(e0,e0) = e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) = e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) = e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) = e3 )
      & ( op(e1,e0) != e0
        | op(e1,e0) = e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) = e1 )
      & ( op(e1,e2) != e0
        | op(e1,e0) = e2 )
      & ( op(e1,e3) != e0
        | op(e1,e0) = e3 )
      & ( op(e2,e0) != e0
        | op(e2,e0) = e0 )
      & ( op(e2,e1) != e0
        | op(e2,e0) = e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) = e2 )
      & ( op(e2,e3) != e0
        | op(e2,e0) = e3 )
      & ( op(e3,e0) != e0
        | op(e3,e0) = e0 )
      & ( op(e3,e1) != e0
        | op(e3,e0) = e1 )
      & ( op(e3,e2) != e0
        | op(e3,e0) = e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) = e3 ) )
    | ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f58,plain,
    ( op(e0,e0) != e0
    & op(e1,e1) != e1
    & op(e2,e2) != e2
    & op(e3,e3) != e3
    & ( sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).

fof(f59,plain,
    ( ( ( op(e0,e0) != e0
        | op(e0,e0) = e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) = e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) = e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) = e3 )
      & ( op(e1,e0) != e0
        | op(e1,e0) = e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) = e1 )
      & ( op(e1,e2) != e0
        | op(e1,e0) = e2 )
      & ( op(e1,e3) != e0
        | op(e1,e0) = e3 )
      & ( op(e2,e0) != e0
        | op(e2,e0) = e0 )
      & ( op(e2,e1) != e0
        | op(e2,e0) = e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) = e2 )
      & ( op(e2,e3) != e0
        | op(e2,e0) = e3 )
      & ( op(e3,e0) != e0
        | op(e3,e0) = e0 )
      & ( op(e3,e1) != e0
        | op(e3,e0) = e1 )
      & ( op(e3,e2) != e0
        | op(e3,e0) = e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) = e3 ) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f60,plain,
    ( ( ( op(e0,e0) != e1
        | op(e0,e1) = e0 )
      & ( op(e0,e1) != e1
        | op(e0,e1) = e1 )
      & ( op(e0,e2) != e1
        | op(e0,e1) = e2 )
      & ( op(e0,e3) != e1
        | op(e0,e1) = e3 )
      & ( op(e1,e0) != e1
        | op(e1,e1) = e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) = e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) = e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) = e3 )
      & ( op(e2,e0) != e1
        | op(e2,e1) = e0 )
      & ( op(e2,e1) != e1
        | op(e2,e1) = e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) = e2 )
      & ( op(e2,e3) != e1
        | op(e2,e1) = e3 )
      & ( op(e3,e0) != e1
        | op(e3,e1) = e0 )
      & ( op(e3,e1) != e1
        | op(e3,e1) = e1 )
      & ( op(e3,e2) != e1
        | op(e3,e1) = e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) = e3 ) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f61,plain,
    ( ( ( op(e0,e0) != e2
        | op(e0,e2) = e0 )
      & ( op(e0,e1) != e2
        | op(e0,e2) = e1 )
      & ( op(e0,e2) != e2
        | op(e0,e2) = e2 )
      & ( op(e0,e3) != e2
        | op(e0,e2) = e3 )
      & ( op(e1,e0) != e2
        | op(e1,e2) = e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) = e1 )
      & ( op(e1,e2) != e2
        | op(e1,e2) = e2 )
      & ( op(e1,e3) != e2
        | op(e1,e2) = e3 )
      & ( op(e2,e0) != e2
        | op(e2,e2) = e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) = e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) = e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) = e3 )
      & ( op(e3,e0) != e2
        | op(e3,e2) = e0 )
      & ( op(e3,e1) != e2
        | op(e3,e2) = e1 )
      & ( op(e3,e2) != e2
        | op(e3,e2) = e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) = e3 ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f62,plain,
    ( ( ( op(e0,e0) != e3
        | op(e0,e3) = e0 )
      & ( op(e0,e1) != e3
        | op(e0,e3) = e1 )
      & ( op(e0,e2) != e3
        | op(e0,e3) = e2 )
      & ( op(e0,e3) != e3
        | op(e0,e3) = e3 )
      & ( op(e1,e0) != e3
        | op(e1,e3) = e0 )
      & ( op(e1,e1) != e3
        | op(e1,e3) = e1 )
      & ( op(e1,e2) != e3
        | op(e1,e3) = e2 )
      & ( op(e1,e3) != e3
        | op(e1,e3) = e3 )
      & ( op(e2,e0) != e3
        | op(e2,e3) = e0 )
      & ( op(e2,e1) != e3
        | op(e2,e3) = e1 )
      & ( op(e2,e2) != e3
        | op(e2,e3) = e2 )
      & ( op(e2,e3) != e3
        | op(e2,e3) = e3 )
      & ( op(e3,e0) != e3
        | op(e3,e3) = e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) = e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) = e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) = e3 ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f63,plain,
    ( e0 = op(e3,e3)
    | e1 = op(e3,e3)
    | e2 = op(e3,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f64,plain,
    ( e0 = op(e3,e2)
    | e1 = op(e3,e2)
    | e2 = op(e3,e2)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f65,plain,
    ( e0 = op(e3,e1)
    | e1 = op(e3,e1)
    | e2 = op(e3,e1)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f66,plain,
    ( e0 = op(e3,e0)
    | e1 = op(e3,e0)
    | e2 = op(e3,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f67,plain,
    ( e0 = op(e2,e3)
    | e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f68,plain,
    ( e0 = op(e2,e2)
    | e1 = op(e2,e2)
    | e2 = op(e2,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f69,plain,
    ( e0 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f70,plain,
    ( e0 = op(e2,e0)
    | e1 = op(e2,e0)
    | e2 = op(e2,e0)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f71,plain,
    ( e0 = op(e1,e3)
    | e1 = op(e1,e3)
    | e2 = op(e1,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f72,plain,
    ( e0 = op(e1,e2)
    | e1 = op(e1,e2)
    | e2 = op(e1,e2)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f73,plain,
    ( e0 = op(e1,e1)
    | e1 = op(e1,e1)
    | e2 = op(e1,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f74,plain,
    ( e0 = op(e1,e0)
    | e1 = op(e1,e0)
    | e2 = op(e1,e0)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f75,plain,
    ( e0 = op(e0,e3)
    | e1 = op(e0,e3)
    | e2 = op(e0,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f76,plain,
    ( e0 = op(e0,e2)
    | e1 = op(e0,e2)
    | e2 = op(e0,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f77,plain,
    ( e0 = op(e0,e1)
    | e1 = op(e0,e1)
    | e2 = op(e0,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f78,plain,
    ( e0 = op(e0,e0)
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f79,plain,
    ( e3 = op(e0,e3)
    | e3 = op(e1,e3)
    | e3 = op(e2,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f80,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e3,e1)
    | e3 = op(e3,e2)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f81,plain,
    ( e2 = op(e0,e3)
    | e2 = op(e1,e3)
    | e2 = op(e2,e3)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f82,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e3,e1)
    | e2 = op(e3,e2)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f83,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e1,e3)
    | e1 = op(e2,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f84,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e3,e1)
    | e1 = op(e3,e2)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f85,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e1,e3)
    | e0 = op(e2,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f86,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e3,e1)
    | e0 = op(e3,e2)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f87,plain,
    ( e3 = op(e0,e2)
    | e3 = op(e1,e2)
    | e3 = op(e2,e2)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f88,plain,
    ( e3 = op(e2,e0)
    | e3 = op(e2,e1)
    | e3 = op(e2,e2)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f89,plain,
    ( e2 = op(e0,e2)
    | e2 = op(e1,e2)
    | e2 = op(e2,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f90,plain,
    ( e2 = op(e2,e0)
    | e2 = op(e2,e1)
    | e2 = op(e2,e2)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f91,plain,
    ( e1 = op(e0,e2)
    | e1 = op(e1,e2)
    | e1 = op(e2,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f92,plain,
    ( e1 = op(e2,e0)
    | e1 = op(e2,e1)
    | e1 = op(e2,e2)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f93,plain,
    ( e0 = op(e0,e2)
    | e0 = op(e1,e2)
    | e0 = op(e2,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f94,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e2,e1)
    | e0 = op(e2,e2)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f95,plain,
    ( e3 = op(e0,e1)
    | e3 = op(e1,e1)
    | e3 = op(e2,e1)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f96,plain,
    ( e3 = op(e1,e0)
    | e3 = op(e1,e1)
    | e3 = op(e1,e2)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f97,plain,
    ( e2 = op(e0,e1)
    | e2 = op(e1,e1)
    | e2 = op(e2,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f98,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e1,e1)
    | e2 = op(e1,e2)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f99,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e1,e1)
    | e1 = op(e2,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f100,plain,
    ( e1 = op(e1,e0)
    | e1 = op(e1,e1)
    | e1 = op(e1,e2)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f101,plain,
    ( e0 = op(e0,e1)
    | e0 = op(e1,e1)
    | e0 = op(e2,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f102,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e1,e1)
    | e0 = op(e1,e2)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f103,plain,
    ( op(e0,e0) = e3
    | e3 = op(e1,e0)
    | e3 = op(e2,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f104,plain,
    ( op(e0,e0) = e3
    | e3 = op(e0,e1)
    | e3 = op(e0,e2)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f105,plain,
    ( op(e0,e0) = e2
    | e2 = op(e1,e0)
    | e2 = op(e2,e0)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f106,plain,
    ( op(e0,e0) = e2
    | e2 = op(e0,e1)
    | e2 = op(e0,e2)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f107,plain,
    ( op(e0,e0) = e1
    | e1 = op(e1,e0)
    | e1 = op(e2,e0)
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f108,plain,
    ( op(e0,e0) = e1
    | e1 = op(e0,e1)
    | e1 = op(e0,e2)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f109,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e1,e0)
    | e0 = op(e2,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f110,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e0,e1)
    | e0 = op(e0,e2)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f111,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f112,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f113,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f114,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f115,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f116,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f117,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f118,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f119,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f120,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f121,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f122,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f123,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f124,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f125,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f126,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f127,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f128,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f129,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f130,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f131,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f132,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f133,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f134,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f135,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f136,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f137,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f138,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f139,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f140,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f141,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f142,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f143,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f144,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f145,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f146,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f147,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f148,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f149,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f150,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f151,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f152,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f153,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f154,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f155,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f156,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f157,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f158,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f159,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f160,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f161,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f162,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f163,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f164,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f165,plain,
    ( e0 != op(e3,e3)
    | e3 = op(e3,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f166,plain,
    ( e0 != op(e3,e2)
    | e2 = op(e3,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f167,plain,
    ( e0 != op(e3,e1)
    | e1 = op(e3,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f169,plain,
    ( e0 != op(e2,e3)
    | e3 = op(e2,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f170,plain,
    ( e0 != op(e2,e2)
    | e2 = op(e2,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f171,plain,
    ( e0 != op(e2,e1)
    | e1 = op(e2,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f173,plain,
    ( e0 != op(e1,e3)
    | e3 = op(e1,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f174,plain,
    ( e0 != op(e1,e2)
    | e2 = op(e1,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f175,plain,
    ( e0 != op(e1,e1)
    | e1 = op(e1,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f177,plain,
    ( e0 != op(e0,e3)
    | op(e0,e0) = e3
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f178,plain,
    ( e0 != op(e0,e2)
    | op(e0,e0) = e2
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f179,plain,
    ( e0 != op(e0,e1)
    | op(e0,e0) = e1
    | ~ sP3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f181,plain,
    ( e1 != op(e3,e3)
    | e3 = op(e3,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f182,plain,
    ( e1 != op(e3,e2)
    | e2 = op(e3,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f184,plain,
    ( e1 != op(e3,e0)
    | e0 = op(e3,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f185,plain,
    ( e1 != op(e2,e3)
    | e3 = op(e2,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f186,plain,
    ( e1 != op(e2,e2)
    | e2 = op(e2,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f188,plain,
    ( e1 != op(e2,e0)
    | e0 = op(e2,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f189,plain,
    ( e1 != op(e1,e3)
    | e3 = op(e1,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f190,plain,
    ( e1 != op(e1,e2)
    | e2 = op(e1,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f192,plain,
    ( e1 != op(e1,e0)
    | e0 = op(e1,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f193,plain,
    ( e1 != op(e0,e3)
    | e3 = op(e0,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f194,plain,
    ( e1 != op(e0,e2)
    | e2 = op(e0,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f196,plain,
    ( op(e0,e0) != e1
    | e0 = op(e0,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f197,plain,
    ( e2 != op(e3,e3)
    | e3 = op(e3,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f199,plain,
    ( e2 != op(e3,e1)
    | e1 = op(e3,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f200,plain,
    ( e2 != op(e3,e0)
    | e0 = op(e3,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f201,plain,
    ( e2 != op(e2,e3)
    | e3 = op(e2,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f203,plain,
    ( e2 != op(e2,e1)
    | e1 = op(e2,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f204,plain,
    ( e2 != op(e2,e0)
    | e0 = op(e2,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f205,plain,
    ( e2 != op(e1,e3)
    | e3 = op(e1,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f207,plain,
    ( e2 != op(e1,e1)
    | e1 = op(e1,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f208,plain,
    ( e2 != op(e1,e0)
    | e0 = op(e1,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f209,plain,
    ( e2 != op(e0,e3)
    | e3 = op(e0,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f211,plain,
    ( e2 != op(e0,e1)
    | e1 = op(e0,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f212,plain,
    ( op(e0,e0) != e2
    | e0 = op(e0,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f214,plain,
    ( e3 != op(e3,e2)
    | e2 = op(e3,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f215,plain,
    ( e3 != op(e3,e1)
    | e1 = op(e3,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f216,plain,
    ( e3 != op(e3,e0)
    | e0 = op(e3,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f218,plain,
    ( e3 != op(e2,e2)
    | e2 = op(e2,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f219,plain,
    ( e3 != op(e2,e1)
    | e1 = op(e2,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f220,plain,
    ( e3 != op(e2,e0)
    | e0 = op(e2,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f222,plain,
    ( e3 != op(e1,e2)
    | e2 = op(e1,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f223,plain,
    ( e3 != op(e1,e1)
    | e1 = op(e1,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f224,plain,
    ( e3 != op(e1,e0)
    | e0 = op(e1,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f226,plain,
    ( e3 != op(e0,e2)
    | e2 = op(e0,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f227,plain,
    ( e3 != op(e0,e1)
    | e1 = op(e0,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f228,plain,
    ( op(e0,e0) != e3
    | e0 = op(e0,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f229,plain,
    ( sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f230,plain,
    e3 != op(e3,e3),
    inference(cnf_transformation,[],[f58]) ).

fof(f231,plain,
    e2 != op(e2,e2),
    inference(cnf_transformation,[],[f58]) ).

fof(f232,plain,
    e1 != op(e1,e1),
    inference(cnf_transformation,[],[f58]) ).

fof(f233,plain,
    e0 != op(e0,e0),
    inference(cnf_transformation,[],[f58]) ).

fof(f234,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f235,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f236,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f237,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f238,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f239,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f240,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f241,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f242,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f243,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f244,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f245,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f246,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f247,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f248,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f249,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f250,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f251,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f252,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f253,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f254,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f255,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f256,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f257,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f259,definition,
    ( spl4_1
  <=> e0 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f260,plain,
    ( e0 = op(e3,e3)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f263,definition,
    ( spl4_2
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f264,plain,
    ( e1 = op(op(e3,e3),e3)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f265,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f267,definition,
    ( spl4_3
  <=> e2 = op(op(op(e3,e3),e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f268,plain,
    ( e2 = op(op(op(e3,e3),e3),e3)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f269,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f270,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f257,f267,f263,f259]) ).

fof(f272,definition,
    ( spl4_4
  <=> e1 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

fof(f273,plain,
    ( e1 = op(e3,e3)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f276,definition,
    ( spl4_5
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

fof(f278,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl4_5 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f279,plain,
    ( ~ spl4_4
    | ~ spl4_5
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f256,f267,f276,f272]) ).

fof(f281,definition,
    ( spl4_6
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

fof(f283,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl4_6 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f285,definition,
    ( spl4_7
  <=> e1 = op(op(op(e3,e3),e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

fof(f287,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | spl4_7 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f288,plain,
    ( ~ spl4_1
    | ~ spl4_6
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f255,f285,f281,f259]) ).

fof(f290,definition,
    ( spl4_8
  <=> e2 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

fof(f291,plain,
    ( e2 = op(e3,e3)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f293,plain,
    ( ~ spl4_8
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f254,f285,f276,f290]) ).

fof(f295,definition,
    ( spl4_9
  <=> e0 = op(op(op(e3,e3),e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

fof(f297,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | spl4_9 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f298,plain,
    ( ~ spl4_4
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f253,f295,f281,f272]) ).

fof(f299,plain,
    ( ~ spl4_8
    | ~ spl4_2
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f252,f295,f263,f290]) ).

fof(f301,definition,
    ( spl4_10
  <=> e0 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).

fof(f302,plain,
    ( e0 = op(e2,e2)
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f305,definition,
    ( spl4_11
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).

fof(f306,plain,
    ( e1 = op(op(e2,e2),e2)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f307,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl4_11 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f309,definition,
    ( spl4_12
  <=> e3 = op(op(op(e2,e2),e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).

fof(f311,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | spl4_12 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f312,plain,
    ( ~ spl4_10
    | ~ spl4_11
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f251,f309,f305,f301]) ).

fof(f314,definition,
    ( spl4_13
  <=> e1 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).

fof(f315,plain,
    ( e1 = op(e2,e2)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f318,definition,
    ( spl4_14
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).

fof(f320,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl4_14 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f321,plain,
    ( ~ spl4_13
    | ~ spl4_14
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f250,f309,f318,f314]) ).

fof(f323,definition,
    ( spl4_15
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).

fof(f325,plain,
    ( e3 != op(op(e2,e2),e2)
    | spl4_15 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f327,definition,
    ( spl4_16
  <=> e1 = op(op(op(e2,e2),e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).

fof(f329,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | spl4_16 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f330,plain,
    ( ~ spl4_10
    | ~ spl4_15
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f249,f327,f323,f301]) ).

fof(f332,definition,
    ( spl4_17
  <=> e3 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).

fof(f333,plain,
    ( e3 = op(e2,e2)
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f335,plain,
    ( ~ spl4_17
    | ~ spl4_14
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f248,f327,f318,f332]) ).

fof(f337,definition,
    ( spl4_18
  <=> e0 = op(op(op(e2,e2),e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).

fof(f339,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | spl4_18 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f340,plain,
    ( ~ spl4_13
    | ~ spl4_15
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f247,f337,f323,f314]) ).

fof(f341,plain,
    ( ~ spl4_17
    | ~ spl4_11
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f246,f337,f305,f332]) ).

fof(f343,definition,
    ( spl4_19
  <=> e0 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).

fof(f344,plain,
    ( e0 = op(e1,e1)
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f347,definition,
    ( spl4_20
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).

fof(f349,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl4_20 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f351,definition,
    ( spl4_21
  <=> e3 = op(op(op(e1,e1),e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).

fof(f353,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | spl4_21 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f354,plain,
    ( ~ spl4_19
    | ~ spl4_20
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f245,f351,f347,f343]) ).

fof(f356,definition,
    ( spl4_22
  <=> e2 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).

fof(f357,plain,
    ( e2 = op(e1,e1)
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f360,definition,
    ( spl4_23
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).

fof(f362,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl4_23 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f363,plain,
    ( ~ spl4_22
    | ~ spl4_23
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f244,f351,f360,f356]) ).

fof(f365,definition,
    ( spl4_24
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl4_24])],[avatar_definition]) ).

fof(f367,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl4_24 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f369,definition,
    ( spl4_25
  <=> e2 = op(op(op(e1,e1),e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).

fof(f371,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | spl4_25 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f372,plain,
    ( ~ spl4_19
    | ~ spl4_24
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f243,f369,f365,f343]) ).

fof(f374,definition,
    ( spl4_26
  <=> e3 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).

fof(f375,plain,
    ( e3 = op(e1,e1)
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f377,plain,
    ( ~ spl4_26
    | ~ spl4_23
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f242,f369,f360,f374]) ).

fof(f379,definition,
    ( spl4_27
  <=> e0 = op(op(op(e1,e1),e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).

fof(f381,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | spl4_27 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f382,plain,
    ( ~ spl4_22
    | ~ spl4_24
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f241,f379,f365,f356]) ).

fof(f383,plain,
    ( ~ spl4_26
    | ~ spl4_20
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f240,f379,f347,f374]) ).

fof(f385,definition,
    ( spl4_28
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).

fof(f386,plain,
    ( op(e0,e0) = e1
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f389,definition,
    ( spl4_29
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl4_29])],[avatar_definition]) ).

fof(f391,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl4_29 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f393,definition,
    ( spl4_30
  <=> e3 = op(op(op(e0,e0),e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl4_30])],[avatar_definition]) ).

fof(f395,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | spl4_30 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f396,plain,
    ( ~ spl4_28
    | ~ spl4_29
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f239,f393,f389,f385]) ).

fof(f398,definition,
    ( spl4_31
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[spl4_31])],[avatar_definition]) ).

fof(f399,plain,
    ( op(e0,e0) = e2
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f402,definition,
    ( spl4_32
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl4_32])],[avatar_definition]) ).

fof(f404,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl4_32 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f405,plain,
    ( ~ spl4_31
    | ~ spl4_32
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f238,f393,f402,f398]) ).

fof(f407,definition,
    ( spl4_33
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl4_33])],[avatar_definition]) ).

fof(f409,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl4_33 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f411,definition,
    ( spl4_34
  <=> e2 = op(op(op(e0,e0),e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).

fof(f413,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | spl4_34 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f414,plain,
    ( ~ spl4_28
    | ~ spl4_33
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f237,f411,f407,f385]) ).

fof(f416,definition,
    ( spl4_35
  <=> op(e0,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[spl4_35])],[avatar_definition]) ).

fof(f417,plain,
    ( op(e0,e0) = e3
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f419,plain,
    ( ~ spl4_35
    | ~ spl4_32
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f236,f411,f402,f416]) ).

fof(f421,definition,
    ( spl4_36
  <=> e1 = op(op(op(e0,e0),e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl4_36])],[avatar_definition]) ).

fof(f423,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | spl4_36 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f424,plain,
    ( ~ spl4_31
    | ~ spl4_33
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f235,f421,f407,f398]) ).

fof(f425,plain,
    ( ~ spl4_35
    | ~ spl4_29
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f234,f421,f389,f416]) ).

fof(f427,definition,
    ( spl4_37
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl4_37])],[avatar_definition]) ).

fof(f431,definition,
    ( spl4_38
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl4_38])],[avatar_definition]) ).

fof(f435,definition,
    ( spl4_39
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl4_39])],[avatar_definition]) ).

fof(f439,definition,
    ( spl4_40
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl4_40])],[avatar_definition]) ).

fof(f442,plain,
    ( spl4_37
    | spl4_38
    | spl4_39
    | spl4_40 ),
    inference(avatar_split_clause,[],[f229,f439,f435,f431,f427]) ).

fof(f444,definition,
    ( spl4_41
  <=> e3 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_41])],[avatar_definition]) ).

fof(f445,plain,
    ( e3 = op(e3,e2)
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f447,plain,
    ( ~ spl4_37
    | spl4_8
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f214,f444,f290,f427]) ).

fof(f449,definition,
    ( spl4_42
  <=> e3 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_42])],[avatar_definition]) ).

fof(f450,plain,
    ( e3 = op(e3,e1)
    | ~ spl4_42 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f452,plain,
    ( ~ spl4_37
    | spl4_4
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f215,f449,f272,f427]) ).

fof(f454,definition,
    ( spl4_43
  <=> e3 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_43])],[avatar_definition]) ).

fof(f455,plain,
    ( e3 = op(e3,e0)
    | ~ spl4_43 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f457,plain,
    ( ~ spl4_37
    | spl4_1
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f216,f454,f259,f427]) ).

fof(f459,definition,
    ( spl4_44
  <=> e2 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_44])],[avatar_definition]) ).

fof(f461,plain,
    ( e2 = op(e2,e3)
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f462,plain,
    ( ~ spl4_37
    | spl4_44
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f218,f332,f459,f427]) ).

fof(f464,definition,
    ( spl4_45
  <=> e1 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_45])],[avatar_definition]) ).

fof(f466,plain,
    ( e1 = op(e2,e3)
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f468,definition,
    ( spl4_46
  <=> e3 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_46])],[avatar_definition]) ).

fof(f469,plain,
    ( e3 = op(e2,e1)
    | ~ spl4_46 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f471,plain,
    ( ~ spl4_37
    | spl4_45
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f219,f468,f464,f427]) ).

fof(f473,definition,
    ( spl4_47
  <=> e0 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_47])],[avatar_definition]) ).

fof(f475,plain,
    ( e0 = op(e2,e3)
    | ~ spl4_47 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f477,definition,
    ( spl4_48
  <=> e3 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_48])],[avatar_definition]) ).

fof(f478,plain,
    ( e3 = op(e2,e0)
    | ~ spl4_48 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f480,plain,
    ( ~ spl4_37
    | spl4_47
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f220,f477,f473,f427]) ).

fof(f482,definition,
    ( spl4_49
  <=> e2 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_49])],[avatar_definition]) ).

fof(f484,plain,
    ( e2 = op(e1,e3)
    | ~ spl4_49 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f486,definition,
    ( spl4_50
  <=> e3 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_50])],[avatar_definition]) ).

fof(f487,plain,
    ( e3 = op(e1,e2)
    | ~ spl4_50 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f489,plain,
    ( ~ spl4_37
    | spl4_49
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f222,f486,f482,f427]) ).

fof(f491,definition,
    ( spl4_51
  <=> e1 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_51])],[avatar_definition]) ).

fof(f493,plain,
    ( e1 = op(e1,e3)
    | ~ spl4_51 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f494,plain,
    ( ~ spl4_37
    | spl4_51
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f223,f374,f491,f427]) ).

fof(f496,definition,
    ( spl4_52
  <=> e0 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_52])],[avatar_definition]) ).

fof(f498,plain,
    ( e0 = op(e1,e3)
    | ~ spl4_52 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f500,definition,
    ( spl4_53
  <=> e3 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_53])],[avatar_definition]) ).

fof(f501,plain,
    ( e3 = op(e1,e0)
    | ~ spl4_53 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( ~ spl4_37
    | spl4_52
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f224,f500,f496,f427]) ).

fof(f505,definition,
    ( spl4_54
  <=> e2 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_54])],[avatar_definition]) ).

fof(f506,plain,
    ( e2 != op(e0,e3)
    | spl4_54 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( e2 = op(e0,e3)
    | ~ spl4_54 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f509,definition,
    ( spl4_55
  <=> e3 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_55])],[avatar_definition]) ).

fof(f510,plain,
    ( e3 = op(e0,e2)
    | ~ spl4_55 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f512,plain,
    ( ~ spl4_37
    | spl4_54
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f226,f509,f505,f427]) ).

fof(f514,definition,
    ( spl4_56
  <=> e1 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_56])],[avatar_definition]) ).

fof(f516,plain,
    ( e1 = op(e0,e3)
    | ~ spl4_56 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f518,definition,
    ( spl4_57
  <=> e3 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_57])],[avatar_definition]) ).

fof(f519,plain,
    ( e3 = op(e0,e1)
    | ~ spl4_57 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f521,plain,
    ( ~ spl4_37
    | spl4_56
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f227,f518,f514,f427]) ).

fof(f523,definition,
    ( spl4_58
  <=> e0 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_58])],[avatar_definition]) ).

fof(f525,plain,
    ( e0 = op(e0,e3)
    | ~ spl4_58 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f526,plain,
    ( ~ spl4_37
    | spl4_58
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f228,f416,f523,f427]) ).

fof(f527,plain,
    ( ~ spl4_38
    | spl4_41
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f197,f290,f444,f431]) ).

fof(f529,definition,
    ( spl4_59
  <=> e1 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_59])],[avatar_definition]) ).

fof(f531,plain,
    ( e1 = op(e3,e2)
    | ~ spl4_59 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f533,definition,
    ( spl4_60
  <=> e2 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_60])],[avatar_definition]) ).

fof(f534,plain,
    ( e2 = op(e3,e1)
    | ~ spl4_60 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f536,plain,
    ( ~ spl4_38
    | spl4_59
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f199,f533,f529,f431]) ).

fof(f538,definition,
    ( spl4_61
  <=> e0 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_61])],[avatar_definition]) ).

fof(f540,plain,
    ( e0 = op(e3,e2)
    | ~ spl4_61 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f542,definition,
    ( spl4_62
  <=> e2 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_62])],[avatar_definition]) ).

fof(f543,plain,
    ( e2 = op(e3,e0)
    | ~ spl4_62 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f545,plain,
    ( ~ spl4_38
    | spl4_61
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f200,f542,f538,f431]) ).

fof(f546,plain,
    ( ~ spl4_38
    | spl4_17
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f201,f459,f332,f431]) ).

fof(f548,definition,
    ( spl4_63
  <=> e2 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_63])],[avatar_definition]) ).

fof(f549,plain,
    ( e2 = op(e2,e1)
    | ~ spl4_63 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f551,plain,
    ( ~ spl4_38
    | spl4_13
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f203,f548,f314,f431]) ).

fof(f553,definition,
    ( spl4_64
  <=> e2 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_64])],[avatar_definition]) ).

fof(f554,plain,
    ( e2 = op(e2,e0)
    | ~ spl4_64 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f556,plain,
    ( ~ spl4_38
    | spl4_10
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f204,f553,f301,f431]) ).

fof(f557,plain,
    ( ~ spl4_38
    | spl4_50
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f205,f482,f486,f431]) ).

fof(f559,definition,
    ( spl4_65
  <=> e1 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_65])],[avatar_definition]) ).

fof(f561,plain,
    ( e1 = op(e1,e2)
    | ~ spl4_65 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f562,plain,
    ( ~ spl4_38
    | spl4_65
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f207,f356,f559,f431]) ).

fof(f564,definition,
    ( spl4_66
  <=> e0 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_66])],[avatar_definition]) ).

fof(f566,plain,
    ( e0 = op(e1,e2)
    | ~ spl4_66 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f568,definition,
    ( spl4_67
  <=> e2 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_67])],[avatar_definition]) ).

fof(f569,plain,
    ( e2 = op(e1,e0)
    | ~ spl4_67 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f571,plain,
    ( ~ spl4_38
    | spl4_66
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f208,f568,f564,f431]) ).

fof(f572,plain,
    ( ~ spl4_38
    | spl4_55
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f209,f505,f509,f431]) ).

fof(f574,definition,
    ( spl4_68
  <=> e1 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_68])],[avatar_definition]) ).

fof(f576,plain,
    ( e1 = op(e0,e2)
    | ~ spl4_68 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f578,definition,
    ( spl4_69
  <=> e2 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_69])],[avatar_definition]) ).

fof(f579,plain,
    ( e2 = op(e0,e1)
    | ~ spl4_69 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( ~ spl4_38
    | spl4_68
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f211,f578,f574,f431]) ).

fof(f583,definition,
    ( spl4_70
  <=> e0 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_70])],[avatar_definition]) ).

fof(f585,plain,
    ( e0 = op(e0,e2)
    | ~ spl4_70 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f586,plain,
    ( ~ spl4_38
    | spl4_70
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f212,f398,f583,f431]) ).

fof(f587,plain,
    ( ~ spl4_39
    | spl4_42
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f181,f272,f449,f435]) ).

fof(f588,plain,
    ( ~ spl4_39
    | spl4_60
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f182,f529,f533,f435]) ).

fof(f590,definition,
    ( spl4_71
  <=> e0 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_71])],[avatar_definition]) ).

fof(f592,plain,
    ( e0 = op(e3,e1)
    | ~ spl4_71 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f594,definition,
    ( spl4_72
  <=> e1 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_72])],[avatar_definition]) ).

fof(f595,plain,
    ( e1 = op(e3,e0)
    | ~ spl4_72 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f597,plain,
    ( ~ spl4_39
    | spl4_71
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f184,f594,f590,f435]) ).

fof(f598,plain,
    ( ~ spl4_39
    | spl4_46
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f185,f464,f468,f435]) ).

fof(f599,plain,
    ( ~ spl4_39
    | spl4_63
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f186,f314,f548,f435]) ).

fof(f601,definition,
    ( spl4_73
  <=> e0 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_73])],[avatar_definition]) ).

fof(f603,plain,
    ( e0 = op(e2,e1)
    | ~ spl4_73 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f605,definition,
    ( spl4_74
  <=> e1 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_74])],[avatar_definition]) ).

fof(f606,plain,
    ( e1 = op(e2,e0)
    | ~ spl4_74 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f608,plain,
    ( ~ spl4_39
    | spl4_73
    | ~ spl4_74 ),
    inference(avatar_split_clause,[],[f188,f605,f601,f435]) ).

fof(f609,plain,
    ( ~ spl4_39
    | spl4_26
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f189,f491,f374,f435]) ).

fof(f610,plain,
    ( ~ spl4_39
    | spl4_22
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f190,f559,f356,f435]) ).

fof(f612,definition,
    ( spl4_75
  <=> e1 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_75])],[avatar_definition]) ).

fof(f613,plain,
    ( e1 = op(e1,e0)
    | ~ spl4_75 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl4_39
    | spl4_19
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f192,f612,f343,f435]) ).

fof(f616,plain,
    ( ~ spl4_39
    | spl4_57
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f193,f514,f518,f435]) ).

fof(f617,plain,
    ( ~ spl4_39
    | spl4_69
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f194,f574,f578,f435]) ).

fof(f619,definition,
    ( spl4_76
  <=> e0 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_76])],[avatar_definition]) ).

fof(f621,plain,
    ( e0 = op(e0,e1)
    | ~ spl4_76 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f622,plain,
    ( ~ spl4_39
    | spl4_76
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f196,f385,f619,f435]) ).

fof(f623,plain,
    ( ~ spl4_40
    | spl4_43
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f165,f259,f454,f439]) ).

fof(f624,plain,
    ( ~ spl4_40
    | spl4_62
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f166,f538,f542,f439]) ).

fof(f625,plain,
    ( ~ spl4_40
    | spl4_72
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f167,f590,f594,f439]) ).

fof(f626,plain,
    ( ~ spl4_40
    | spl4_48
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f169,f473,f477,f439]) ).

fof(f627,plain,
    ( ~ spl4_40
    | spl4_64
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f170,f301,f553,f439]) ).

fof(f628,plain,
    ( ~ spl4_40
    | spl4_74
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f171,f601,f605,f439]) ).

fof(f629,plain,
    ( ~ spl4_40
    | spl4_53
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f173,f496,f500,f439]) ).

fof(f630,plain,
    ( ~ spl4_40
    | spl4_67
    | ~ spl4_66 ),
    inference(avatar_split_clause,[],[f174,f564,f568,f439]) ).

fof(f631,plain,
    ( ~ spl4_40
    | spl4_75
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f175,f343,f612,f439]) ).

fof(f632,plain,
    ( ~ spl4_40
    | spl4_35
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f177,f523,f416,f439]) ).

fof(f633,plain,
    ( ~ spl4_40
    | spl4_31
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f178,f583,f398,f439]) ).

fof(f634,plain,
    ( ~ spl4_40
    | spl4_28
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f179,f619,f385,f439]) ).

fof(f636,definition,
    ( spl4_77
  <=> e3 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_77])],[avatar_definition]) ).

fof(f640,definition,
    ( spl4_78
  <=> e3 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_78])],[avatar_definition]) ).

fof(f642,plain,
    ( e3 = op(e2,e3)
    | ~ spl4_78 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f644,definition,
    ( spl4_79
  <=> e3 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_79])],[avatar_definition]) ).

fof(f646,plain,
    ( e3 = op(e1,e3)
    | ~ spl4_79 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f648,definition,
    ( spl4_80
  <=> e3 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl4_80])],[avatar_definition]) ).

fof(f650,plain,
    ( e3 = op(e0,e3)
    | ~ spl4_80 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f651,plain,
    ( spl4_77
    | spl4_78
    | spl4_79
    | spl4_80 ),
    inference(avatar_split_clause,[],[f79,f648,f644,f640,f636]) ).

fof(f652,plain,
    ( spl4_77
    | spl4_41
    | spl4_42
    | spl4_43 ),
    inference(avatar_split_clause,[],[f80,f454,f449,f444,f636]) ).

fof(f653,plain,
    ( spl4_8
    | spl4_44
    | spl4_49
    | spl4_54 ),
    inference(avatar_split_clause,[],[f81,f505,f482,f459,f290]) ).

fof(f655,definition,
    ( spl4_81
  <=> e2 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_81])],[avatar_definition]) ).

fof(f657,plain,
    ( e2 = op(e3,e2)
    | ~ spl4_81 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( spl4_8
    | spl4_81
    | spl4_60
    | spl4_62 ),
    inference(avatar_split_clause,[],[f82,f542,f533,f655,f290]) ).

fof(f659,plain,
    ( spl4_4
    | spl4_45
    | spl4_51
    | spl4_56 ),
    inference(avatar_split_clause,[],[f83,f514,f491,f464,f272]) ).

fof(f661,definition,
    ( spl4_82
  <=> e1 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_82])],[avatar_definition]) ).

fof(f663,plain,
    ( e1 = op(e3,e1)
    | ~ spl4_82 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f664,plain,
    ( spl4_4
    | spl4_59
    | spl4_82
    | spl4_72 ),
    inference(avatar_split_clause,[],[f84,f594,f661,f529,f272]) ).

fof(f665,plain,
    ( spl4_1
    | spl4_47
    | spl4_52
    | spl4_58 ),
    inference(avatar_split_clause,[],[f85,f523,f496,f473,f259]) ).

fof(f667,definition,
    ( spl4_83
  <=> e0 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_83])],[avatar_definition]) ).

fof(f669,plain,
    ( e0 = op(e3,e0)
    | ~ spl4_83 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( spl4_1
    | spl4_61
    | spl4_71
    | spl4_83 ),
    inference(avatar_split_clause,[],[f86,f667,f590,f538,f259]) ).

fof(f671,plain,
    ( spl4_41
    | spl4_17
    | spl4_50
    | spl4_55 ),
    inference(avatar_split_clause,[],[f87,f509,f486,f332,f444]) ).

fof(f672,plain,
    ( spl4_78
    | spl4_17
    | spl4_46
    | spl4_48 ),
    inference(avatar_split_clause,[],[f88,f477,f468,f332,f640]) ).

fof(f674,definition,
    ( spl4_84
  <=> e2 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_84])],[avatar_definition]) ).

fof(f678,definition,
    ( spl4_85
  <=> e2 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_85])],[avatar_definition]) ).

fof(f680,plain,
    ( e2 = op(e1,e2)
    | ~ spl4_85 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f682,definition,
    ( spl4_86
  <=> e2 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl4_86])],[avatar_definition]) ).

fof(f684,plain,
    ( e2 = op(e0,e2)
    | ~ spl4_86 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( spl4_81
    | spl4_84
    | spl4_85
    | spl4_86 ),
    inference(avatar_split_clause,[],[f89,f682,f678,f674,f655]) ).

fof(f686,plain,
    ( spl4_44
    | spl4_84
    | spl4_63
    | spl4_64 ),
    inference(avatar_split_clause,[],[f90,f553,f548,f674,f459]) ).

fof(f687,plain,
    ( spl4_59
    | spl4_13
    | spl4_65
    | spl4_68 ),
    inference(avatar_split_clause,[],[f91,f574,f559,f314,f529]) ).

fof(f689,definition,
    ( spl4_87
  <=> e1 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_87])],[avatar_definition]) ).

fof(f691,plain,
    ( e1 = op(e2,e1)
    | ~ spl4_87 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( spl4_45
    | spl4_13
    | spl4_87
    | spl4_74 ),
    inference(avatar_split_clause,[],[f92,f605,f689,f314,f464]) ).

fof(f693,plain,
    ( spl4_61
    | spl4_10
    | spl4_66
    | spl4_70 ),
    inference(avatar_split_clause,[],[f93,f583,f564,f301,f538]) ).

fof(f695,definition,
    ( spl4_88
  <=> e0 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_88])],[avatar_definition]) ).

fof(f697,plain,
    ( e0 = op(e2,e0)
    | ~ spl4_88 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f698,plain,
    ( spl4_47
    | spl4_10
    | spl4_73
    | spl4_88 ),
    inference(avatar_split_clause,[],[f94,f695,f601,f301,f473]) ).

fof(f699,plain,
    ( spl4_42
    | spl4_46
    | spl4_26
    | spl4_57 ),
    inference(avatar_split_clause,[],[f95,f518,f374,f468,f449]) ).

fof(f700,plain,
    ( spl4_79
    | spl4_50
    | spl4_26
    | spl4_53 ),
    inference(avatar_split_clause,[],[f96,f500,f374,f486,f644]) ).

fof(f701,plain,
    ( spl4_60
    | spl4_63
    | spl4_22
    | spl4_69 ),
    inference(avatar_split_clause,[],[f97,f578,f356,f548,f533]) ).

fof(f702,plain,
    ( spl4_49
    | spl4_85
    | spl4_22
    | spl4_67 ),
    inference(avatar_split_clause,[],[f98,f568,f356,f678,f482]) ).

fof(f704,definition,
    ( spl4_89
  <=> e1 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_89])],[avatar_definition]) ).

fof(f708,definition,
    ( spl4_90
  <=> e1 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl4_90])],[avatar_definition]) ).

fof(f710,plain,
    ( e1 = op(e0,e1)
    | ~ spl4_90 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f711,plain,
    ( spl4_82
    | spl4_87
    | spl4_89
    | spl4_90 ),
    inference(avatar_split_clause,[],[f99,f708,f704,f689,f661]) ).

fof(f712,plain,
    ( spl4_51
    | spl4_65
    | spl4_89
    | spl4_75 ),
    inference(avatar_split_clause,[],[f100,f612,f704,f559,f491]) ).

fof(f713,plain,
    ( spl4_71
    | spl4_73
    | spl4_19
    | spl4_76 ),
    inference(avatar_split_clause,[],[f101,f619,f343,f601,f590]) ).

fof(f715,definition,
    ( spl4_91
  <=> e0 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_91])],[avatar_definition]) ).

fof(f717,plain,
    ( e0 = op(e1,e0)
    | ~ spl4_91 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,plain,
    ( spl4_52
    | spl4_66
    | spl4_19
    | spl4_91 ),
    inference(avatar_split_clause,[],[f102,f715,f343,f564,f496]) ).

fof(f719,plain,
    ( spl4_43
    | spl4_48
    | spl4_53
    | spl4_35 ),
    inference(avatar_split_clause,[],[f103,f416,f500,f477,f454]) ).

fof(f720,plain,
    ( spl4_80
    | spl4_55
    | spl4_57
    | spl4_35 ),
    inference(avatar_split_clause,[],[f104,f416,f518,f509,f648]) ).

fof(f721,plain,
    ( spl4_62
    | spl4_64
    | spl4_67
    | spl4_31 ),
    inference(avatar_split_clause,[],[f105,f398,f568,f553,f542]) ).

fof(f722,plain,
    ( spl4_54
    | spl4_86
    | spl4_69
    | spl4_31 ),
    inference(avatar_split_clause,[],[f106,f398,f578,f682,f505]) ).

fof(f723,plain,
    ( spl4_72
    | spl4_74
    | spl4_75
    | spl4_28 ),
    inference(avatar_split_clause,[],[f107,f385,f612,f605,f594]) ).

fof(f724,plain,
    ( spl4_56
    | spl4_68
    | spl4_90
    | spl4_28 ),
    inference(avatar_split_clause,[],[f108,f385,f708,f574,f514]) ).

fof(f726,definition,
    ( spl4_92
  <=> e0 = op(e0,e0) ),
    introduced(definition,[new_symbols(definition,[spl4_92])],[avatar_definition]) ).

fof(f729,plain,
    ( spl4_83
    | spl4_88
    | spl4_91
    | spl4_92 ),
    inference(avatar_split_clause,[],[f109,f726,f715,f695,f667]) ).

fof(f730,plain,
    ( spl4_58
    | spl4_70
    | spl4_76
    | spl4_92 ),
    inference(avatar_split_clause,[],[f110,f726,f619,f583,f523]) ).

fof(f731,plain,
    ( spl4_77
    | spl4_8
    | spl4_4
    | spl4_1 ),
    inference(avatar_split_clause,[],[f63,f259,f272,f290,f636]) ).

fof(f732,plain,
    ( spl4_41
    | spl4_81
    | spl4_59
    | spl4_61 ),
    inference(avatar_split_clause,[],[f64,f538,f529,f655,f444]) ).

fof(f733,plain,
    ( spl4_42
    | spl4_60
    | spl4_82
    | spl4_71 ),
    inference(avatar_split_clause,[],[f65,f590,f661,f533,f449]) ).

fof(f734,plain,
    ( spl4_43
    | spl4_62
    | spl4_72
    | spl4_83 ),
    inference(avatar_split_clause,[],[f66,f667,f594,f542,f454]) ).

fof(f735,plain,
    ( spl4_78
    | spl4_44
    | spl4_45
    | spl4_47 ),
    inference(avatar_split_clause,[],[f67,f473,f464,f459,f640]) ).

fof(f736,plain,
    ( spl4_17
    | spl4_84
    | spl4_13
    | spl4_10 ),
    inference(avatar_split_clause,[],[f68,f301,f314,f674,f332]) ).

fof(f737,plain,
    ( spl4_46
    | spl4_63
    | spl4_87
    | spl4_73 ),
    inference(avatar_split_clause,[],[f69,f601,f689,f548,f468]) ).

fof(f738,plain,
    ( spl4_48
    | spl4_64
    | spl4_74
    | spl4_88 ),
    inference(avatar_split_clause,[],[f70,f695,f605,f553,f477]) ).

fof(f739,plain,
    ( spl4_79
    | spl4_49
    | spl4_51
    | spl4_52 ),
    inference(avatar_split_clause,[],[f71,f496,f491,f482,f644]) ).

fof(f740,plain,
    ( spl4_50
    | spl4_85
    | spl4_65
    | spl4_66 ),
    inference(avatar_split_clause,[],[f72,f564,f559,f678,f486]) ).

fof(f741,plain,
    ( spl4_26
    | spl4_22
    | spl4_89
    | spl4_19 ),
    inference(avatar_split_clause,[],[f73,f343,f704,f356,f374]) ).

fof(f742,plain,
    ( spl4_53
    | spl4_67
    | spl4_75
    | spl4_91 ),
    inference(avatar_split_clause,[],[f74,f715,f612,f568,f500]) ).

fof(f743,plain,
    ( spl4_80
    | spl4_54
    | spl4_56
    | spl4_58 ),
    inference(avatar_split_clause,[],[f75,f523,f514,f505,f648]) ).

fof(f744,plain,
    ( spl4_55
    | spl4_86
    | spl4_68
    | spl4_70 ),
    inference(avatar_split_clause,[],[f76,f583,f574,f682,f509]) ).

fof(f745,plain,
    ( spl4_57
    | spl4_69
    | spl4_90
    | spl4_76 ),
    inference(avatar_split_clause,[],[f77,f619,f708,f578,f518]) ).

fof(f746,plain,
    ( spl4_35
    | spl4_31
    | spl4_28
    | spl4_92 ),
    inference(avatar_split_clause,[],[f78,f726,f385,f398,f416]) ).

fof(f747,plain,
    ~ spl4_77,
    inference(avatar_split_clause,[],[f230,f636]) ).

fof(f748,plain,
    ~ spl4_84,
    inference(avatar_split_clause,[],[f231,f674]) ).

fof(f749,plain,
    ~ spl4_89,
    inference(avatar_split_clause,[],[f232,f704]) ).

fof(f750,plain,
    ~ spl4_92,
    inference(avatar_split_clause,[],[f233,f726]) ).

fof(f753,plain,
    ( e0 = e1
    | ~ spl4_10
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f315,f302]) ).

fof(f754,plain,
    ( $false
    | ~ spl4_10
    | ~ spl4_13 ),
    inference(forward_subsumption_resolution,[],[f753,f164]) ).

fof(f755,plain,
    ( ~ spl4_10
    | ~ spl4_13 ),
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f757,plain,
    ( e0 = e2
    | ~ spl4_19
    | ~ spl4_22 ),
    inference(forward_demodulation,[],[f357,f344]) ).

fof(f758,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_22 ),
    inference(forward_subsumption_resolution,[],[f757,f163]) ).

fof(f759,plain,
    ( ~ spl4_19
    | ~ spl4_22 ),
    inference(avatar_contradiction_clause,[],[f758]) ).

fof(f761,plain,
    ( e1 = e2
    | ~ spl4_28
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f399,f386]) ).

fof(f762,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_31 ),
    inference(forward_subsumption_resolution,[],[f761,f161]) ).

fof(f763,plain,
    ( ~ spl4_28
    | ~ spl4_31 ),
    inference(avatar_contradiction_clause,[],[f762]) ).

fof(f765,plain,
    ( e1 = e2
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(superposition,[],[f466,f461]) ).

fof(f769,plain,
    ( $false
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(forward_subsumption_resolution,[],[f765,f161]) ).

fof(f770,plain,
    ( ~ spl4_44
    | ~ spl4_45 ),
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f773,plain,
    ( e1 = e3
    | ~ spl4_13
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f333,f315]) ).

fof(f774,plain,
    ( $false
    | ~ spl4_13
    | ~ spl4_17 ),
    inference(forward_subsumption_resolution,[],[f773,f160]) ).

fof(f775,plain,
    ( ~ spl4_13
    | ~ spl4_17 ),
    inference(avatar_contradiction_clause,[],[f774]) ).

fof(f779,plain,
    ( e1 = e2
    | ~ spl4_49
    | ~ spl4_51 ),
    inference(superposition,[],[f493,f484]) ).

fof(f783,plain,
    ( $false
    | ~ spl4_49
    | ~ spl4_51 ),
    inference(forward_subsumption_resolution,[],[f779,f161]) ).

fof(f784,plain,
    ( ~ spl4_49
    | ~ spl4_51 ),
    inference(avatar_contradiction_clause,[],[f783]) ).

fof(f786,plain,
    ( e0 = e2
    | ~ spl4_49
    | ~ spl4_52 ),
    inference(superposition,[],[f498,f484]) ).

fof(f787,plain,
    ( e0 = e2
    | ~ spl4_49
    | ~ spl4_52 ),
    inference(superposition,[],[f484,f498]) ).

fof(f788,plain,
    ( $false
    | ~ spl4_49
    | ~ spl4_52 ),
    inference(forward_subsumption_resolution,[],[f787,f163]) ).

fof(f789,plain,
    ( ~ spl4_49
    | ~ spl4_52 ),
    inference(avatar_contradiction_clause,[],[f788]) ).

fof(f790,plain,
    ( $false
    | ~ spl4_49
    | ~ spl4_52 ),
    inference(forward_subsumption_resolution,[],[f786,f163]) ).

fof(f791,plain,
    ( ~ spl4_49
    | ~ spl4_52 ),
    inference(avatar_contradiction_clause,[],[f790]) ).

fof(f793,plain,
    ( e1 = e2
    | ~ spl4_54
    | ~ spl4_56 ),
    inference(superposition,[],[f516,f507]) ).

fof(f797,plain,
    ( $false
    | ~ spl4_54
    | ~ spl4_56 ),
    inference(forward_subsumption_resolution,[],[f793,f161]) ).

fof(f798,plain,
    ( ~ spl4_54
    | ~ spl4_56 ),
    inference(avatar_contradiction_clause,[],[f797]) ).

fof(f800,plain,
    ( e1 = e2
    | ~ spl4_4
    | ~ spl4_8 ),
    inference(superposition,[],[f273,f291]) ).

fof(f805,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f800,f161]) ).

fof(f806,plain,
    ( ~ spl4_4
    | ~ spl4_8 ),
    inference(avatar_contradiction_clause,[],[f805]) ).

fof(f808,plain,
    ( e0 = e2
    | ~ spl4_54
    | ~ spl4_58 ),
    inference(superposition,[],[f525,f507]) ).

fof(f809,plain,
    ( e0 = e2
    | ~ spl4_54
    | ~ spl4_58 ),
    inference(superposition,[],[f507,f525]) ).

fof(f810,plain,
    ( $false
    | ~ spl4_54
    | ~ spl4_58 ),
    inference(forward_subsumption_resolution,[],[f809,f163]) ).

fof(f811,plain,
    ( ~ spl4_54
    | ~ spl4_58 ),
    inference(avatar_contradiction_clause,[],[f810]) ).

fof(f812,plain,
    ( $false
    | ~ spl4_54
    | ~ spl4_58 ),
    inference(forward_subsumption_resolution,[],[f808,f163]) ).

fof(f813,plain,
    ( ~ spl4_54
    | ~ spl4_58 ),
    inference(avatar_contradiction_clause,[],[f812]) ).

fof(f816,plain,
    ( e1 = e3
    | ~ spl4_41
    | ~ spl4_59 ),
    inference(superposition,[],[f531,f445]) ).

fof(f820,plain,
    ( $false
    | ~ spl4_41
    | ~ spl4_59 ),
    inference(forward_subsumption_resolution,[],[f816,f160]) ).

fof(f821,plain,
    ( ~ spl4_41
    | ~ spl4_59 ),
    inference(avatar_contradiction_clause,[],[f820]) ).

fof(f823,plain,
    ( e0 = e3
    | ~ spl4_41
    | ~ spl4_61 ),
    inference(superposition,[],[f540,f445]) ).

fof(f827,plain,
    ( $false
    | ~ spl4_41
    | ~ spl4_61 ),
    inference(forward_subsumption_resolution,[],[f823,f162]) ).

fof(f828,plain,
    ( ~ spl4_41
    | ~ spl4_61 ),
    inference(avatar_contradiction_clause,[],[f827]) ).

fof(f833,plain,
    ( e2 = e3
    | ~ spl4_46
    | ~ spl4_63 ),
    inference(superposition,[],[f549,f469]) ).

fof(f837,plain,
    ( $false
    | ~ spl4_46
    | ~ spl4_63 ),
    inference(forward_subsumption_resolution,[],[f833,f159]) ).

fof(f838,plain,
    ( ~ spl4_46
    | ~ spl4_63 ),
    inference(avatar_contradiction_clause,[],[f837]) ).

fof(f841,plain,
    ( e1 = e3
    | ~ spl4_50
    | ~ spl4_65 ),
    inference(superposition,[],[f561,f487]) ).

fof(f845,plain,
    ( $false
    | ~ spl4_50
    | ~ spl4_65 ),
    inference(forward_subsumption_resolution,[],[f841,f160]) ).

fof(f846,plain,
    ( ~ spl4_50
    | ~ spl4_65 ),
    inference(avatar_contradiction_clause,[],[f845]) ).

fof(f850,plain,
    ( e1 = e3
    | ~ spl4_53
    | ~ spl4_75 ),
    inference(superposition,[],[f613,f501]) ).

fof(f854,plain,
    ( $false
    | ~ spl4_53
    | ~ spl4_75 ),
    inference(forward_subsumption_resolution,[],[f850,f160]) ).

fof(f855,plain,
    ( ~ spl4_53
    | ~ spl4_75 ),
    inference(avatar_contradiction_clause,[],[f854]) ).

fof(f861,plain,
    ( e0 = e3
    | ~ spl4_57
    | ~ spl4_76 ),
    inference(superposition,[],[f621,f519]) ).

fof(f865,plain,
    ( $false
    | ~ spl4_57
    | ~ spl4_76 ),
    inference(forward_subsumption_resolution,[],[f861,f162]) ).

fof(f866,plain,
    ( ~ spl4_57
    | ~ spl4_76 ),
    inference(avatar_contradiction_clause,[],[f865]) ).

fof(f868,plain,
    ( e0 = e3
    | ~ spl4_55
    | ~ spl4_70 ),
    inference(superposition,[],[f585,f510]) ).

fof(f872,plain,
    ( $false
    | ~ spl4_55
    | ~ spl4_70 ),
    inference(forward_subsumption_resolution,[],[f868,f162]) ).

fof(f873,plain,
    ( ~ spl4_55
    | ~ spl4_70 ),
    inference(avatar_contradiction_clause,[],[f872]) ).

fof(f875,plain,
    ( e0 = e3
    | ~ spl4_42
    | ~ spl4_71 ),
    inference(superposition,[],[f592,f450]) ).

fof(f880,plain,
    ( $false
    | ~ spl4_42
    | ~ spl4_71 ),
    inference(forward_subsumption_resolution,[],[f875,f162]) ).

fof(f881,plain,
    ( ~ spl4_42
    | ~ spl4_71 ),
    inference(avatar_contradiction_clause,[],[f880]) ).

fof(f886,plain,
    ( e0 = e3
    | ~ spl4_47
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f642,f475]) ).

fof(f887,plain,
    ( $false
    | ~ spl4_47
    | ~ spl4_78 ),
    inference(forward_subsumption_resolution,[],[f886,f162]) ).

fof(f888,plain,
    ( ~ spl4_47
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f891,plain,
    ( e0 = e1
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(superposition,[],[f260,f273]) ).

fof(f895,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(forward_subsumption_resolution,[],[f891,f164]) ).

fof(f896,plain,
    ( ~ spl4_1
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f895]) ).

fof(f907,plain,
    ( e0 = e2
    | ~ spl4_61
    | ~ spl4_81 ),
    inference(forward_demodulation,[],[f657,f540]) ).

fof(f908,plain,
    ( $false
    | ~ spl4_61
    | ~ spl4_81 ),
    inference(forward_subsumption_resolution,[],[f907,f163]) ).

fof(f909,plain,
    ( ~ spl4_61
    | ~ spl4_81 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f918,plain,
    ( e2 = e3
    | ~ spl4_22
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f375,f357]) ).

fof(f920,plain,
    ( e2 = e3
    | ~ spl4_43
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f455,f543]) ).

fof(f922,plain,
    ( $false
    | ~ spl4_22
    | ~ spl4_26 ),
    inference(forward_subsumption_resolution,[],[f918,f159]) ).

fof(f923,plain,
    ( ~ spl4_22
    | ~ spl4_26 ),
    inference(avatar_contradiction_clause,[],[f922]) ).

fof(f924,plain,
    ( $false
    | ~ spl4_43
    | ~ spl4_62 ),
    inference(forward_subsumption_resolution,[],[f920,f159]) ).

fof(f925,plain,
    ( ~ spl4_43
    | ~ spl4_62 ),
    inference(avatar_contradiction_clause,[],[f924]) ).

fof(f935,plain,
    ( e0 = e1
    | ~ spl4_65
    | ~ spl4_66 ),
    inference(superposition,[],[f566,f561]) ).

fof(f940,plain,
    ( $false
    | ~ spl4_65
    | ~ spl4_66 ),
    inference(forward_subsumption_resolution,[],[f935,f164]) ).

fof(f941,plain,
    ( ~ spl4_65
    | ~ spl4_66 ),
    inference(avatar_contradiction_clause,[],[f940]) ).

fof(f944,plain,
    ( e0 = e1
    | ~ spl4_51
    | ~ spl4_52 ),
    inference(forward_demodulation,[],[f493,f498]) ).

fof(f945,plain,
    ( e1 = e2
    | ~ spl4_60
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f534,f663]) ).

fof(f948,plain,
    ( $false
    | ~ spl4_51
    | ~ spl4_52 ),
    inference(forward_subsumption_resolution,[],[f944,f164]) ).

fof(f949,plain,
    ( ~ spl4_51
    | ~ spl4_52 ),
    inference(avatar_contradiction_clause,[],[f948]) ).

fof(f950,plain,
    ( $false
    | ~ spl4_60
    | ~ spl4_82 ),
    inference(forward_subsumption_resolution,[],[f945,f161]) ).

fof(f951,plain,
    ( ~ spl4_60
    | ~ spl4_82 ),
    inference(avatar_contradiction_clause,[],[f950]) ).

fof(f963,plain,
    ( e0 = e2
    | ~ spl4_60
    | ~ spl4_71 ),
    inference(superposition,[],[f592,f534]) ).

fof(f968,plain,
    ( $false
    | ~ spl4_60
    | ~ spl4_71 ),
    inference(forward_subsumption_resolution,[],[f963,f163]) ).

fof(f969,plain,
    ( ~ spl4_60
    | ~ spl4_71 ),
    inference(avatar_contradiction_clause,[],[f968]) ).

fof(f971,plain,
    ( e1 = e2
    | ~ spl4_67
    | ~ spl4_75 ),
    inference(superposition,[],[f613,f569]) ).

fof(f976,plain,
    ( $false
    | ~ spl4_67
    | ~ spl4_75 ),
    inference(forward_subsumption_resolution,[],[f971,f161]) ).

fof(f977,plain,
    ( ~ spl4_67
    | ~ spl4_75 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f979,plain,
    ( e2 = e3
    | ~ spl4_54
    | ~ spl4_80 ),
    inference(forward_demodulation,[],[f650,f507]) ).

fof(f981,plain,
    ( $false
    | ~ spl4_54
    | ~ spl4_80 ),
    inference(forward_subsumption_resolution,[],[f979,f159]) ).

fof(f982,plain,
    ( ~ spl4_54
    | ~ spl4_80 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f983,plain,
    ( e1 = op(e1,e3)
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f264,f273]) ).

fof(f985,plain,
    ( spl4_51
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f983,f272,f263,f491]) ).

fof(f994,plain,
    ( e1 = e3
    | ~ spl4_51
    | ~ spl4_79 ),
    inference(forward_demodulation,[],[f646,f493]) ).

fof(f995,plain,
    ( $false
    | ~ spl4_51
    | ~ spl4_79 ),
    inference(forward_subsumption_resolution,[],[f994,f160]) ).

fof(f996,plain,
    ( ~ spl4_51
    | ~ spl4_79 ),
    inference(avatar_contradiction_clause,[],[f995]) ).

fof(f1014,plain,
    ( e2 = e3
    | ~ spl4_55
    | ~ spl4_86 ),
    inference(superposition,[],[f684,f510]) ).

fof(f1018,plain,
    ( $false
    | ~ spl4_55
    | ~ spl4_86 ),
    inference(forward_subsumption_resolution,[],[f1014,f159]) ).

fof(f1019,plain,
    ( ~ spl4_55
    | ~ spl4_86 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1020,plain,
    ( e0 = e2
    | ~ spl4_66
    | ~ spl4_85 ),
    inference(forward_demodulation,[],[f680,f566]) ).

fof(f1022,plain,
    ( $false
    | ~ spl4_66
    | ~ spl4_85 ),
    inference(forward_subsumption_resolution,[],[f1020,f163]) ).

fof(f1023,plain,
    ( ~ spl4_66
    | ~ spl4_85 ),
    inference(avatar_contradiction_clause,[],[f1022]) ).

fof(f1024,plain,
    ( e0 = e3
    | ~ spl4_50
    | ~ spl4_66 ),
    inference(forward_demodulation,[],[f487,f566]) ).

fof(f1026,plain,
    ( $false
    | ~ spl4_50
    | ~ spl4_66 ),
    inference(forward_subsumption_resolution,[],[f1024,f162]) ).

fof(f1027,plain,
    ( ~ spl4_50
    | ~ spl4_66 ),
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1029,plain,
    ( e2 = e3
    | ~ spl4_31
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f417,f399]) ).

fof(f1030,plain,
    ( $false
    | ~ spl4_31
    | ~ spl4_35 ),
    inference(forward_subsumption_resolution,[],[f1029,f159]) ).

fof(f1031,plain,
    ( ~ spl4_31
    | ~ spl4_35 ),
    inference(avatar_contradiction_clause,[],[f1030]) ).

fof(f1033,plain,
    ( e0 = e3
    | ~ spl4_19
    | ~ spl4_26 ),
    inference(superposition,[],[f344,f375]) ).

fof(f1038,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_26 ),
    inference(forward_subsumption_resolution,[],[f1033,f162]) ).

fof(f1039,plain,
    ( ~ spl4_19
    | ~ spl4_26 ),
    inference(avatar_contradiction_clause,[],[f1038]) ).

fof(f1055,plain,
    ( e0 = e2
    | ~ spl4_70
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f684,f585]) ).

fof(f1056,plain,
    ( $false
    | ~ spl4_70
    | ~ spl4_86 ),
    inference(forward_subsumption_resolution,[],[f1055,f163]) ).

fof(f1057,plain,
    ( ~ spl4_70
    | ~ spl4_86 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1059,plain,
    ( e2 = e3
    | ~ spl4_50
    | ~ spl4_85 ),
    inference(superposition,[],[f680,f487]) ).

fof(f1060,plain,
    ( e2 = e3
    | ~ spl4_50
    | ~ spl4_85 ),
    inference(superposition,[],[f487,f680]) ).

fof(f1061,plain,
    ( $false
    | ~ spl4_50
    | ~ spl4_85 ),
    inference(forward_subsumption_resolution,[],[f1060,f159]) ).

fof(f1062,plain,
    ( ~ spl4_50
    | ~ spl4_85 ),
    inference(avatar_contradiction_clause,[],[f1061]) ).

fof(f1063,plain,
    ( $false
    | ~ spl4_50
    | ~ spl4_85 ),
    inference(forward_subsumption_resolution,[],[f1059,f159]) ).

fof(f1064,plain,
    ( ~ spl4_50
    | ~ spl4_85 ),
    inference(avatar_contradiction_clause,[],[f1063]) ).

fof(f1072,plain,
    ( e1 = e3
    | ~ spl4_45
    | ~ spl4_78 ),
    inference(superposition,[],[f466,f642]) ).

fof(f1078,plain,
    ( $false
    | ~ spl4_45
    | ~ spl4_78 ),
    inference(forward_subsumption_resolution,[],[f1072,f160]) ).

fof(f1079,plain,
    ( ~ spl4_45
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f1078]) ).

fof(f1084,plain,
    ( e2 = e3
    | ~ spl4_48
    | ~ spl4_64 ),
    inference(superposition,[],[f554,f478]) ).

fof(f1088,plain,
    ( $false
    | ~ spl4_48
    | ~ spl4_64 ),
    inference(forward_subsumption_resolution,[],[f1084,f159]) ).

fof(f1089,plain,
    ( ~ spl4_48
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f1088]) ).

fof(f1100,plain,
    ( e0 = e2
    | ~ spl4_64
    | ~ spl4_88 ),
    inference(superposition,[],[f697,f554]) ).

fof(f1104,plain,
    ( $false
    | ~ spl4_64
    | ~ spl4_88 ),
    inference(forward_subsumption_resolution,[],[f1100,f163]) ).

fof(f1105,plain,
    ( ~ spl4_64
    | ~ spl4_88 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

fof(f1108,plain,
    ( e0 = e1
    | ~ spl4_76
    | ~ spl4_90 ),
    inference(forward_demodulation,[],[f710,f621]) ).

fof(f1109,plain,
    ( $false
    | ~ spl4_76
    | ~ spl4_90 ),
    inference(forward_subsumption_resolution,[],[f1108,f164]) ).

fof(f1110,plain,
    ( ~ spl4_76
    | ~ spl4_90 ),
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1112,plain,
    ( e1 = e3
    | ~ spl4_55
    | ~ spl4_68 ),
    inference(superposition,[],[f576,f510]) ).

fof(f1116,plain,
    ( $false
    | ~ spl4_55
    | ~ spl4_68 ),
    inference(forward_subsumption_resolution,[],[f1112,f160]) ).

fof(f1117,plain,
    ( ~ spl4_55
    | ~ spl4_68 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1119,plain,
    ( e1 = e3
    | ~ spl4_28
    | ~ spl4_35 ),
    inference(superposition,[],[f386,f417]) ).

fof(f1120,plain,
    ( e1 = e3
    | ~ spl4_28
    | ~ spl4_35 ),
    inference(superposition,[],[f417,f386]) ).

fof(f1122,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_35 ),
    inference(forward_subsumption_resolution,[],[f1120,f160]) ).

fof(f1123,plain,
    ( ~ spl4_28
    | ~ spl4_35 ),
    inference(avatar_contradiction_clause,[],[f1122]) ).

fof(f1124,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_35 ),
    inference(forward_subsumption_resolution,[],[f1119,f160]) ).

fof(f1125,plain,
    ( ~ spl4_28
    | ~ spl4_35 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1127,plain,
    ( e1 = e3
    | ~ spl4_46
    | ~ spl4_87 ),
    inference(superposition,[],[f691,f469]) ).

fof(f1131,plain,
    ( $false
    | ~ spl4_46
    | ~ spl4_87 ),
    inference(forward_subsumption_resolution,[],[f1127,f160]) ).

fof(f1132,plain,
    ( ~ spl4_46
    | ~ spl4_87 ),
    inference(avatar_contradiction_clause,[],[f1131]) ).

fof(f1142,plain,
    ( e0 = e1
    | ~ spl4_59
    | ~ spl4_61 ),
    inference(superposition,[],[f540,f531]) ).

fof(f1147,plain,
    ( $false
    | ~ spl4_59
    | ~ spl4_61 ),
    inference(forward_subsumption_resolution,[],[f1142,f164]) ).

fof(f1148,plain,
    ( ~ spl4_59
    | ~ spl4_61 ),
    inference(avatar_contradiction_clause,[],[f1147]) ).

fof(f1156,plain,
    ( e1 = e2
    | ~ spl4_65
    | ~ spl4_85 ),
    inference(superposition,[],[f561,f680]) ).

fof(f1160,plain,
    ( $false
    | ~ spl4_65
    | ~ spl4_85 ),
    inference(forward_subsumption_resolution,[],[f1156,f161]) ).

fof(f1161,plain,
    ( ~ spl4_65
    | ~ spl4_85 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1162,plain,
    ( e1 = e2
    | ~ spl4_63
    | ~ spl4_87 ),
    inference(forward_demodulation,[],[f549,f691]) ).

fof(f1164,plain,
    ( $false
    | ~ spl4_63
    | ~ spl4_87 ),
    inference(forward_subsumption_resolution,[],[f1162,f161]) ).

fof(f1165,plain,
    ( ~ spl4_63
    | ~ spl4_87 ),
    inference(avatar_contradiction_clause,[],[f1164]) ).

fof(f1167,plain,
    ( e0 = e2
    | ~ spl4_69
    | ~ spl4_76 ),
    inference(forward_demodulation,[],[f579,f621]) ).

fof(f1168,plain,
    ( $false
    | ~ spl4_69
    | ~ spl4_76 ),
    inference(forward_subsumption_resolution,[],[f1167,f163]) ).

fof(f1169,plain,
    ( ~ spl4_69
    | ~ spl4_76 ),
    inference(avatar_contradiction_clause,[],[f1168]) ).

fof(f1182,plain,
    ( e2 = e3
    | ~ spl4_42
    | ~ spl4_60 ),
    inference(superposition,[],[f534,f450]) ).

fof(f1186,plain,
    ( $false
    | ~ spl4_42
    | ~ spl4_60 ),
    inference(forward_subsumption_resolution,[],[f1182,f159]) ).

fof(f1187,plain,
    ( ~ spl4_42
    | ~ spl4_60 ),
    inference(avatar_contradiction_clause,[],[f1186]) ).

fof(f1222,plain,
    ( e1 = e2
    | ~ spl4_68
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f684,f576]) ).

fof(f1223,plain,
    ( $false
    | ~ spl4_68
    | ~ spl4_86 ),
    inference(forward_subsumption_resolution,[],[f1222,f161]) ).

fof(f1224,plain,
    ( ~ spl4_68
    | ~ spl4_86 ),
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1241,plain,
    ( e0 = e1
    | ~ spl4_73
    | ~ spl4_87 ),
    inference(superposition,[],[f603,f691]) ).

fof(f1245,plain,
    ( $false
    | ~ spl4_73
    | ~ spl4_87 ),
    inference(forward_subsumption_resolution,[],[f1241,f164]) ).

fof(f1246,plain,
    ( ~ spl4_73
    | ~ spl4_87 ),
    inference(avatar_contradiction_clause,[],[f1245]) ).

fof(f1251,plain,
    ( e0 = e1
    | ~ spl4_56
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f516,f525]) ).

fof(f1253,plain,
    ( $false
    | ~ spl4_56
    | ~ spl4_58 ),
    inference(forward_subsumption_resolution,[],[f1251,f164]) ).

fof(f1254,plain,
    ( ~ spl4_56
    | ~ spl4_58 ),
    inference(avatar_contradiction_clause,[],[f1253]) ).

fof(f1268,plain,
    ( e0 = e1
    | ~ spl4_72
    | ~ spl4_83 ),
    inference(superposition,[],[f595,f669]) ).

fof(f1271,plain,
    ( $false
    | ~ spl4_72
    | ~ spl4_83 ),
    inference(forward_subsumption_resolution,[],[f1268,f164]) ).

fof(f1272,plain,
    ( ~ spl4_72
    | ~ spl4_83 ),
    inference(avatar_contradiction_clause,[],[f1271]) ).

fof(f1283,plain,
    ( e0 = e3
    | ~ spl4_53
    | ~ spl4_91 ),
    inference(superposition,[],[f717,f501]) ).

fof(f1288,plain,
    ( $false
    | ~ spl4_53
    | ~ spl4_91 ),
    inference(forward_subsumption_resolution,[],[f1283,f162]) ).

fof(f1289,plain,
    ( ~ spl4_53
    | ~ spl4_91 ),
    inference(avatar_contradiction_clause,[],[f1288]) ).

fof(f1290,plain,
    ( e0 = e3
    | ~ spl4_10
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f333,f302]) ).

fof(f1291,plain,
    ( e1 = e3
    | ~ spl4_43
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f455,f595]) ).

fof(f1294,plain,
    ( $false
    | ~ spl4_10
    | ~ spl4_17 ),
    inference(forward_subsumption_resolution,[],[f1290,f162]) ).

fof(f1295,plain,
    ( ~ spl4_10
    | ~ spl4_17 ),
    inference(avatar_contradiction_clause,[],[f1294]) ).

fof(f1296,plain,
    ( $false
    | ~ spl4_43
    | ~ spl4_72 ),
    inference(forward_subsumption_resolution,[],[f1291,f160]) ).

fof(f1297,plain,
    ( ~ spl4_43
    | ~ spl4_72 ),
    inference(avatar_contradiction_clause,[],[f1296]) ).

fof(f1308,plain,
    ( e2 = e3
    | ~ spl4_57
    | ~ spl4_69 ),
    inference(superposition,[],[f579,f519]) ).

fof(f1312,plain,
    ( $false
    | ~ spl4_57
    | ~ spl4_69 ),
    inference(forward_subsumption_resolution,[],[f1308,f159]) ).

fof(f1313,plain,
    ( ~ spl4_57
    | ~ spl4_69 ),
    inference(avatar_contradiction_clause,[],[f1312]) ).

fof(f1329,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f112,f291]) ).

fof(f1332,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_41 ),
    inference(forward_demodulation,[],[f115,f445]) ).

fof(f1334,plain,
    ( e0 != op(e3,e0)
    | ~ spl4_71 ),
    inference(forward_demodulation,[],[f116,f592]) ).

fof(f1336,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f117,f642]) ).

fof(f1340,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f119,f302]) ).

fof(f1343,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f121,f302]) ).

fof(f1347,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_51 ),
    inference(forward_demodulation,[],[f123,f493]) ).

fof(f1351,plain,
    ( e1 != op(e1,e0)
    | ~ spl4_51 ),
    inference(forward_demodulation,[],[f126,f493]) ).

fof(f1353,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_85 ),
    inference(forward_demodulation,[],[f127,f680]) ).

fof(f1356,plain,
    ( e0 != op(e0,e2)
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f129,f525]) ).

fof(f1364,plain,
    ( op(e0,e0) != e2
    | ~ spl4_69 ),
    inference(forward_demodulation,[],[f134,f579]) ).

fof(f1365,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f135,f291]) ).

fof(f1367,plain,
    ( e3 != op(e1,e3)
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f137,f642]) ).

fof(f1370,plain,
    ( e3 != op(e0,e3)
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f139,f642]) ).

fof(f1372,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_51 ),
    inference(forward_demodulation,[],[f140,f493]) ).

fof(f1374,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_41 ),
    inference(forward_demodulation,[],[f141,f445]) ).

fof(f1376,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_41 ),
    inference(forward_demodulation,[],[f142,f445]) ).

fof(f1377,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f143,f302]) ).

fof(f1379,plain,
    ( e0 != op(e0,e2)
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f145,f302]) ).

fof(f1384,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_71 ),
    inference(forward_demodulation,[],[f148,f592]) ).

fof(f1397,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f155,f554]) ).

fof(f1398,plain,
    ( op(e0,e0) != e1
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f156,f595]) ).

fof(f1399,plain,
    ( op(e0,e0) != e2
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f157,f554]) ).

fof(f1402,plain,
    ( e1 != op(e2,e3)
    | spl4_2
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f265,f291]) ).

fof(f1403,plain,
    ( e0 != op(e2,e3)
    | spl4_5
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f278,f291]) ).

fof(f1404,plain,
    ( e2 != op(e3,e1)
    | spl4_20
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f349,f375]) ).

fof(f1405,plain,
    ( e0 != op(e3,e1)
    | spl4_23
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f362,f375]) ).

fof(f1409,plain,
    ( e2 != op(op(e3,e1),e1)
    | spl4_25
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f371,f375]) ).

fof(f1410,plain,
    ( e2 != op(e0,e1)
    | spl4_25
    | ~ spl4_26
    | ~ spl4_71 ),
    inference(forward_demodulation,[],[f1409,f592]) ).

fof(f1411,plain,
    ( $false
    | spl4_25
    | ~ spl4_26
    | ~ spl4_69
    | ~ spl4_71 ),
    inference(forward_subsumption_resolution,[],[f1410,f579]) ).

fof(f1412,plain,
    ( spl4_25
    | ~ spl4_26
    | ~ spl4_69
    | ~ spl4_71 ),
    inference(avatar_contradiction_clause,[],[f1411]) ).

fof(f1413,plain,
    ( e0 = e1
    | ~ spl4_75
    | ~ spl4_91 ),
    inference(forward_demodulation,[],[f613,f717]) ).

fof(f1414,plain,
    ( e0 = e1
    | ~ spl4_71
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f663,f592]) ).

fof(f1415,plain,
    ( ~ spl4_73
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f1340,f301,f601]) ).

fof(f1416,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f122,f554]) ).

fof(f1419,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f117,f302]) ).

fof(f1420,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f120,f554]) ).

fof(f1421,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f139,f525]) ).

fof(f1423,plain,
    ( e0 != op(e1,e3)
    | ~ spl4_91 ),
    inference(forward_demodulation,[],[f126,f717]) ).

fof(f1425,plain,
    ( ~ spl4_45
    | spl4_2
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1402,f290,f263,f464]) ).

fof(f1428,plain,
    ( ~ spl4_19
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1384,f590,f343]) ).

fof(f1429,plain,
    ( $false
    | ~ spl4_75
    | ~ spl4_91 ),
    inference(forward_subsumption_resolution,[],[f1413,f164]) ).

fof(f1430,plain,
    ( ~ spl4_75
    | ~ spl4_91 ),
    inference(avatar_contradiction_clause,[],[f1429]) ).

fof(f1431,plain,
    ( $false
    | ~ spl4_71
    | ~ spl4_82 ),
    inference(forward_subsumption_resolution,[],[f1414,f164]) ).

fof(f1432,plain,
    ( ~ spl4_71
    | ~ spl4_82 ),
    inference(avatar_contradiction_clause,[],[f1431]) ).

fof(f1433,plain,
    ( ~ spl4_63
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1416,f553,f548]) ).

fof(f1435,plain,
    ( ~ spl4_52
    | ~ spl4_91 ),
    inference(avatar_split_clause,[],[f1423,f715,f496]) ).

fof(f1438,plain,
    ( e1 = op(e2,e3)
    | ~ spl4_2
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f264,f291]) ).

fof(f1439,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f158,f417]) ).

fof(f1440,plain,
    ( ~ spl4_43
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f1332,f444,f454]) ).

fof(f1441,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f153,f554]) ).

fof(f1442,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f156,f417]) ).

fof(f1444,plain,
    ( spl4_45
    | ~ spl4_2
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1438,f290,f263,f464]) ).

fof(f1445,plain,
    ( ~ spl4_53
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f1439,f416,f500]) ).

fof(f1446,plain,
    ( ~ spl4_43
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f1442,f416,f454]) ).

fof(f1469,plain,
    ( e1 != op(e2,e1)
    | ~ spl4_45 ),
    inference(forward_demodulation,[],[f118,f466]) ).

fof(f1471,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_79 ),
    inference(forward_demodulation,[],[f124,f646]) ).

fof(f1473,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_79 ),
    inference(forward_demodulation,[],[f126,f646]) ).

fof(f1476,plain,
    ( e1 != op(e1,e3)
    | ~ spl4_45 ),
    inference(forward_demodulation,[],[f137,f466]) ).

fof(f1477,plain,
    ( e1 != op(e2,e1)
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f147,f663]) ).

fof(f1481,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f149,f469]) ).

fof(f1483,plain,
    ( e0 != op(e1,e0)
    | ~ spl4_83 ),
    inference(forward_demodulation,[],[f154,f669]) ).

fof(f1485,plain,
    ( e2 != op(e0,e1)
    | ~ spl4_19
    | spl4_20 ),
    inference(forward_demodulation,[],[f349,f344]) ).

fof(f1486,plain,
    ( $false
    | ~ spl4_19
    | spl4_20
    | ~ spl4_69 ),
    inference(forward_subsumption_resolution,[],[f1485,f579]) ).

fof(f1487,plain,
    ( ~ spl4_19
    | spl4_20
    | ~ spl4_69 ),
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1489,plain,
    ( e3 != op(op(e0,e1),e1)
    | ~ spl4_19
    | spl4_21 ),
    inference(forward_demodulation,[],[f353,f344]) ).

fof(f1490,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_19
    | spl4_21
    | ~ spl4_69 ),
    inference(forward_demodulation,[],[f1489,f579]) ).

fof(f1491,plain,
    ( $false
    | ~ spl4_19
    | spl4_21
    | ~ spl4_46
    | ~ spl4_69 ),
    inference(forward_subsumption_resolution,[],[f1490,f469]) ).

fof(f1492,plain,
    ( ~ spl4_19
    | spl4_21
    | ~ spl4_46
    | ~ spl4_69 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1496,plain,
    ( ~ spl4_56
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f1372,f491,f514]) ).

fof(f1497,plain,
    ( ~ spl4_75
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f1351,f491,f612]) ).

fof(f1499,plain,
    ( ~ spl4_91
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1483,f667,f715]) ).

fof(f1500,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f122,f469]) ).

fof(f1501,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_83 ),
    inference(forward_demodulation,[],[f153,f669]) ).

fof(f1502,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_68 ),
    inference(forward_demodulation,[],[f129,f576]) ).

fof(f1504,plain,
    ( ~ spl4_47
    | spl4_5
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1403,f290,f276,f473]) ).

fof(f1505,plain,
    ( e3 != op(e2,e3)
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f118,f469]) ).

fof(f1506,plain,
    ( ~ spl4_44
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1365,f290,f459]) ).

fof(f1508,plain,
    ( ~ spl4_31
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1364,f578,f398]) ).

fof(f1510,plain,
    ( ~ spl4_26
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f1481,f468,f374]) ).

fof(f1511,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f119,f469]) ).

fof(f1512,plain,
    ( ~ spl4_17
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f1374,f444,f332]) ).

fof(f1514,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_68 ),
    inference(forward_demodulation,[],[f145,f576]) ).

fof(f1515,plain,
    ( ~ spl4_48
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f1500,f468,f477]) ).

fof(f1516,plain,
    ( ~ spl4_88
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1501,f667,f695]) ).

fof(f1517,plain,
    ( ~ spl4_56
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f1502,f574,f514]) ).

fof(f1518,plain,
    ( ~ spl4_78
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f1505,f468,f640]) ).

fof(f1520,plain,
    ( ~ spl4_17
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f1511,f468,f332]) ).

fof(f1522,plain,
    ( ~ spl4_13
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f1514,f574,f314]) ).

fof(f1525,plain,
    ( ~ spl4_51
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f1476,f464,f491]) ).

fof(f1527,plain,
    ( ~ spl4_31
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1399,f553,f398]) ).

fof(f1529,plain,
    ( ~ spl4_44
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1420,f553,f459]) ).

fof(f1530,plain,
    ( e2 != op(e0,e2)
    | ~ spl4_69 ),
    inference(forward_demodulation,[],[f131,f579]) ).

fof(f1533,plain,
    ( ~ spl4_86
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1530,f578,f682]) ).

fof(f1536,plain,
    ( ~ spl4_80
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f1370,f640,f648]) ).

fof(f1538,plain,
    ( ~ spl4_17
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f1336,f640,f332]) ).

fof(f1539,plain,
    ( ~ spl4_79
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f1367,f640,f644]) ).

fof(f1540,plain,
    ( e1 != op(e0,e1)
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f150,f663]) ).

fof(f1541,plain,
    ( ~ spl4_87
    | ~ spl4_82 ),
    inference(avatar_split_clause,[],[f1477,f661,f689]) ).

fof(f1542,plain,
    ( ~ spl4_90
    | ~ spl4_82 ),
    inference(avatar_split_clause,[],[f1540,f661,f708]) ).

fof(f1559,plain,
    ( e0 = e2
    | ~ spl4_63
    | ~ spl4_73 ),
    inference(superposition,[],[f603,f549]) ).

fof(f1564,plain,
    ( $false
    | ~ spl4_63
    | ~ spl4_73 ),
    inference(forward_subsumption_resolution,[],[f1559,f163]) ).

fof(f1565,plain,
    ( ~ spl4_63
    | ~ spl4_73 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1567,plain,
    ( ~ spl4_83
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1334,f590,f667]) ).

fof(f1572,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_53 ),
    inference(forward_demodulation,[],[f154,f501]) ).

fof(f1573,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f156,f399]) ).

fof(f1574,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f147,f549]) ).

fof(f1575,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_22 ),
    inference(forward_demodulation,[],[f148,f357]) ).

fof(f1588,plain,
    ( e2 = e3
    | ~ spl4_41
    | ~ spl4_81 ),
    inference(superposition,[],[f657,f445]) ).

fof(f1593,plain,
    ( $false
    | ~ spl4_41
    | ~ spl4_81 ),
    inference(forward_subsumption_resolution,[],[f1588,f159]) ).

fof(f1594,plain,
    ( ~ spl4_41
    | ~ spl4_81 ),
    inference(avatar_contradiction_clause,[],[f1593]) ).

fof(f1596,plain,
    ( e1 = e3
    | ~ spl4_56
    | ~ spl4_80 ),
    inference(forward_demodulation,[],[f650,f516]) ).

fof(f1597,plain,
    ( ~ spl4_43
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f1572,f500,f454]) ).

fof(f1599,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_81 ),
    inference(forward_demodulation,[],[f113,f657]) ).

fof(f1602,plain,
    ( e2 != op(e1,e2)
    | ~ spl4_81 ),
    inference(forward_demodulation,[],[f142,f657]) ).

fof(f1604,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_81 ),
    inference(forward_demodulation,[],[f111,f657]) ).

fof(f1605,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_71 ),
    inference(forward_demodulation,[],[f112,f592]) ).

fof(f1606,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_52 ),
    inference(forward_demodulation,[],[f136,f498]) ).

fof(f1607,plain,
    ( e1 != op(e3,e3)
    | ~ spl4_56 ),
    inference(forward_demodulation,[],[f138,f516]) ).

fof(f1608,plain,
    ( $false
    | ~ spl4_56
    | ~ spl4_80 ),
    inference(forward_subsumption_resolution,[],[f1596,f160]) ).

fof(f1609,plain,
    ( ~ spl4_56
    | ~ spl4_80 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1613,plain,
    ( ~ spl4_8
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f1604,f655,f290]) ).

fof(f1614,plain,
    ( ~ spl4_1
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1605,f590,f259]) ).

fof(f1615,plain,
    ( ~ spl4_1
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f1606,f496,f259]) ).

fof(f1616,plain,
    ( ~ spl4_53
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1473,f644,f500]) ).

fof(f1620,plain,
    ( ~ spl4_60
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f1575,f356,f533]) ).

fof(f1621,plain,
    ( ~ spl4_60
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f1599,f655,f533]) ).

fof(f1631,plain,
    ( e1 = e2
    | ~ spl4_59
    | ~ spl4_81 ),
    inference(superposition,[],[f531,f657]) ).

fof(f1635,plain,
    ( $false
    | ~ spl4_59
    | ~ spl4_81 ),
    inference(forward_subsumption_resolution,[],[f1631,f161]) ).

fof(f1636,plain,
    ( ~ spl4_59
    | ~ spl4_81 ),
    inference(avatar_contradiction_clause,[],[f1635]) ).

fof(f1666,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f112,f273]) ).

fof(f1669,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_42 ),
    inference(forward_demodulation,[],[f116,f450]) ).

fof(f1672,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f118,f461]) ).

fof(f1675,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f121,f333]) ).

fof(f1676,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_73 ),
    inference(forward_demodulation,[],[f122,f603]) ).

fof(f1684,plain,
    ( e1 != op(e1,e0)
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f127,f561]) ).

fof(f1686,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_22 ),
    inference(forward_demodulation,[],[f128,f357]) ).

fof(f1688,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_80 ),
    inference(forward_demodulation,[],[f129,f650]) ).

fof(f1690,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_70 ),
    inference(forward_demodulation,[],[f131,f585]) ).

fof(f1691,plain,
    ( op(e0,e0) != e3
    | ~ spl4_80 ),
    inference(forward_demodulation,[],[f132,f650]) ).

fof(f1695,plain,
    ( op(e0,e0) != e1
    | ~ spl4_90 ),
    inference(forward_demodulation,[],[f134,f710]) ).

fof(f1696,plain,
    ( e1 != op(e2,e3)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f135,f273]) ).

fof(f1697,plain,
    ( e1 != op(e1,e3)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f136,f273]) ).

fof(f1698,plain,
    ( e2 != op(e1,e3)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f137,f461]) ).

fof(f1700,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f139,f461]) ).

fof(f1702,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f143,f333]) ).

fof(f1704,plain,
    ( e1 != op(e0,e2)
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f146,f561]) ).

fof(f1705,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_42 ),
    inference(forward_demodulation,[],[f147,f450]) ).

fof(f1706,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_73 ),
    inference(forward_demodulation,[],[f149,f603]) ).

fof(f1714,plain,
    ( e1 != op(e1,e0)
    | ~ spl4_74 ),
    inference(forward_demodulation,[],[f155,f606]) ).

fof(f1720,plain,
    ( e0 != op(e1,e3)
    | ~ spl4_4
    | spl4_5 ),
    inference(forward_demodulation,[],[f278,f273]) ).

fof(f1728,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_22
    | spl4_23 ),
    inference(forward_demodulation,[],[f362,f357]) ).

fof(f1731,plain,
    ( e3 != op(op(e2,e1),e1)
    | spl4_21
    | ~ spl4_22 ),
    inference(forward_demodulation,[],[f353,f357]) ).

fof(f1733,plain,
    ( e3 != op(e0,e1)
    | spl4_21
    | ~ spl4_22
    | ~ spl4_73 ),
    inference(forward_demodulation,[],[f1731,f603]) ).

fof(f1734,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_22
    | spl4_24 ),
    inference(forward_demodulation,[],[f367,f357]) ).

fof(f1736,plain,
    ( e1 != op(e2,e0)
    | ~ spl4_31
    | spl4_32 ),
    inference(forward_demodulation,[],[f404,f399]) ).

fof(f1739,plain,
    ( e3 != op(op(e2,e0),e0)
    | spl4_30
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f395,f399]) ).

fof(f1741,plain,
    ( e3 != op(e1,e0)
    | spl4_30
    | ~ spl4_31
    | ~ spl4_74 ),
    inference(forward_demodulation,[],[f1739,f606]) ).

fof(f1742,plain,
    ( $false
    | spl4_30
    | ~ spl4_31
    | ~ spl4_53
    | ~ spl4_74 ),
    inference(forward_subsumption_resolution,[],[f1741,f501]) ).

fof(f1743,plain,
    ( spl4_30
    | ~ spl4_31
    | ~ spl4_53
    | ~ spl4_74 ),
    inference(avatar_contradiction_clause,[],[f1742]) ).

fof(f1744,plain,
    ( ~ spl4_70
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f1356,f523,f583]) ).

fof(f1749,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_42 ),
    inference(forward_demodulation,[],[f113,f450]) ).

fof(f1751,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f142,f561]) ).

fof(f1752,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f111,f273]) ).

fof(f1753,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_90 ),
    inference(forward_demodulation,[],[f130,f710]) ).

fof(f1755,plain,
    ( ~ spl4_75
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1684,f559,f612]) ).

fof(f1756,plain,
    ( ~ spl4_67
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f1686,f356,f568]) ).

fof(f1757,plain,
    ( ~ spl4_75
    | ~ spl4_74 ),
    inference(avatar_split_clause,[],[f1714,f605,f612]) ).

fof(f1762,plain,
    ( ~ spl4_41
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f1749,f449,f444]) ).

fof(f1763,plain,
    ( ~ spl4_59
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1751,f559,f529]) ).

fof(f1764,plain,
    ( ~ spl4_59
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f1752,f272,f529]) ).

fof(f1766,plain,
    ( ~ spl4_52
    | ~ spl4_4
    | spl4_5 ),
    inference(avatar_split_clause,[],[f1720,f276,f272,f496]) ).

fof(f1769,plain,
    ( e0 = e2
    | ~ spl4_44
    | ~ spl4_47 ),
    inference(superposition,[],[f475,f461]) ).

fof(f1774,plain,
    ( $false
    | ~ spl4_44
    | ~ spl4_47 ),
    inference(forward_subsumption_resolution,[],[f1769,f163]) ).

fof(f1775,plain,
    ( ~ spl4_44
    | ~ spl4_47 ),
    inference(avatar_contradiction_clause,[],[f1774]) ).

fof(f1803,plain,
    ( op(e0,e0) != e2
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f133,f684]) ).

fof(f1806,plain,
    ( e0 != op(e0,e2)
    | ~ spl4_61 ),
    inference(forward_demodulation,[],[f144,f540]) ).

fof(f1807,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f154,f543]) ).

fof(f1811,plain,
    ( e2 != op(e3,e0)
    | spl4_29
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f391,f417]) ).

fof(f1815,plain,
    ( e1 != op(op(e3,e0),e0)
    | ~ spl4_35
    | spl4_36 ),
    inference(forward_demodulation,[],[f423,f417]) ).

fof(f1816,plain,
    ( e1 != op(e2,e0)
    | ~ spl4_35
    | spl4_36
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f1815,f543]) ).

fof(f1819,plain,
    ( ~ spl4_60
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1329,f290,f533]) ).

fof(f1822,plain,
    ( ~ spl4_71
    | spl4_23
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f1405,f374,f360,f590]) ).

fof(f1823,plain,
    ( ~ spl4_60
    | spl4_20
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f1404,f374,f347,f533]) ).

fof(f1824,plain,
    ( ~ spl4_65
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f1347,f491,f559]) ).

fof(f1826,plain,
    ( $false
    | ~ spl4_62
    | ~ spl4_64 ),
    inference(forward_subsumption_resolution,[],[f1441,f543]) ).

fof(f1827,plain,
    ( ~ spl4_62
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f1826]) ).

fof(f1828,plain,
    ( e0 = e2
    | ~ spl4_67
    | ~ spl4_91 ),
    inference(forward_demodulation,[],[f569,f717]) ).

fof(f1832,plain,
    ( ~ spl4_88
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1676,f601,f695]) ).

fof(f1833,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_91 ),
    inference(forward_demodulation,[],[f155,f717]) ).

fof(f1835,plain,
    ( e2 != op(e2,e0)
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f153,f543]) ).

fof(f1836,plain,
    ( ~ spl4_74
    | ~ spl4_35
    | spl4_36
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1816,f542,f421,f416,f605]) ).

fof(f1838,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_91 ),
    inference(forward_demodulation,[],[f127,f717]) ).

fof(f1839,plain,
    ( e2 != op(e1,e2)
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f146,f684]) ).

fof(f1840,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f115,f543]) ).

fof(f1841,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f144,f684]) ).

fof(f1842,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_73 ),
    inference(forward_demodulation,[],[f118,f603]) ).

fof(f1844,plain,
    ( ~ spl4_47
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f1421,f523,f473]) ).

fof(f1845,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f116,f543]) ).

fof(f1852,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f114,f543]) ).

fof(f1853,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f138,f525]) ).

fof(f1854,plain,
    ( $false
    | ~ spl4_67
    | ~ spl4_91 ),
    inference(forward_subsumption_resolution,[],[f1828,f163]) ).

fof(f1855,plain,
    ( ~ spl4_67
    | ~ spl4_91 ),
    inference(avatar_contradiction_clause,[],[f1854]) ).

fof(f1856,plain,
    ( ~ spl4_88
    | ~ spl4_91 ),
    inference(avatar_split_clause,[],[f1833,f715,f695]) ).

fof(f1858,plain,
    ( ~ spl4_64
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1835,f542,f553]) ).

fof(f1859,plain,
    ( ~ spl4_66
    | ~ spl4_91 ),
    inference(avatar_split_clause,[],[f1838,f715,f564]) ).

fof(f1860,plain,
    ( ~ spl4_85
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f1839,f682,f678]) ).

fof(f1861,plain,
    ( ~ spl4_81
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1840,f542,f655]) ).

fof(f1862,plain,
    ( ~ spl4_81
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f1841,f682,f655]) ).

fof(f1863,plain,
    ( ~ spl4_47
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1842,f601,f473]) ).

fof(f1864,plain,
    ( ~ spl4_60
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1845,f542,f533]) ).

fof(f1867,plain,
    ( ~ spl4_8
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1852,f542,f290]) ).

fof(f1868,plain,
    ( ~ spl4_1
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f1853,f523,f259]) ).

fof(f1869,plain,
    ( ~ spl4_47
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f1419,f301,f473]) ).

fof(f1870,plain,
    ( ~ spl4_66
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f1377,f301,f564]) ).

fof(f1871,plain,
    ( ~ spl4_88
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f1343,f301,f695]) ).

fof(f1872,plain,
    ( ~ spl4_46
    | ~ spl4_22
    | spl4_24 ),
    inference(avatar_split_clause,[],[f1734,f365,f356,f468]) ).

fof(f1875,plain,
    ( ~ spl4_62
    | spl4_29
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f1811,f416,f389,f542]) ).

fof(f1876,plain,
    ( ~ spl4_87
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f1469,f464,f689]) ).

fof(f1879,plain,
    ( ~ spl4_26
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1471,f644,f374]) ).

fof(f1881,plain,
    ( e1 != op(e2,e1)
    | ~ spl4_90 ),
    inference(forward_demodulation,[],[f151,f710]) ).

fof(f1884,plain,
    ( ~ spl4_87
    | ~ spl4_90 ),
    inference(avatar_split_clause,[],[f1881,f708,f689]) ).

fof(f1926,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_45 ),
    inference(forward_demodulation,[],[f117,f466]) ).

fof(f1937,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_79 ),
    inference(forward_demodulation,[],[f123,f646]) ).

fof(f1965,plain,
    ( e2 != op(op(e2,e3),e3)
    | spl4_3
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f269,f291]) ).

fof(f1967,plain,
    ( e1 != op(op(e2,e3),e3)
    | spl4_7
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f287,f291]) ).

fof(f1969,plain,
    ( e0 != op(op(e2,e3),e3)
    | ~ spl4_8
    | spl4_9 ),
    inference(forward_demodulation,[],[f297,f291]) ).

fof(f1970,plain,
    ( e0 != op(e1,e3)
    | ~ spl4_8
    | spl4_9
    | ~ spl4_45 ),
    inference(forward_demodulation,[],[f1969,f466]) ).

fof(f1971,plain,
    ( e3 != op(op(e0,e2),e2)
    | ~ spl4_10
    | spl4_12 ),
    inference(forward_demodulation,[],[f311,f302]) ).

fof(f1974,plain,
    ( e1 != op(op(e0,e2),e2)
    | ~ spl4_10
    | spl4_16 ),
    inference(forward_demodulation,[],[f329,f302]) ).

fof(f1985,plain,
    ( e0 != op(op(e2,e1),e1)
    | ~ spl4_22
    | spl4_27 ),
    inference(forward_demodulation,[],[f381,f357]) ).

fof(f1986,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_22
    | spl4_27
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f1985,f469]) ).

fof(f1987,plain,
    ( $false
    | ~ spl4_22
    | spl4_27
    | ~ spl4_46
    | ~ spl4_71 ),
    inference(forward_subsumption_resolution,[],[f1986,f592]) ).

fof(f1988,plain,
    ( ~ spl4_22
    | spl4_27
    | ~ spl4_46
    | ~ spl4_71 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f2021,plain,
    ( e1 != op(e2,e1)
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f119,f315]) ).

fof(f2024,plain,
    ( e1 != op(e2,e0)
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f121,f315]) ).

fof(f2036,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f143,f315]) ).

fof(f2037,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f149,f549]) ).

fof(f2040,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_13
    | spl4_15 ),
    inference(forward_demodulation,[],[f325,f315]) ).

fof(f2047,plain,
    ( e2 != op(e3,e3)
    | spl4_3
    | ~ spl4_8
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f1965,f642]) ).

fof(f2048,plain,
    ( $false
    | spl4_3
    | ~ spl4_8
    | ~ spl4_78 ),
    inference(forward_subsumption_resolution,[],[f2047,f291]) ).

fof(f2049,plain,
    ( spl4_3
    | ~ spl4_8
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2050,plain,
    ( e2 = op(op(e2,e3),e3)
    | ~ spl4_3
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f268,f291]) ).

fof(f2054,plain,
    ( e3 != op(op(e1,e2),e2)
    | spl4_12
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f311,f315]) ).

fof(f2055,plain,
    ( e3 != op(e0,e2)
    | spl4_12
    | ~ spl4_13
    | ~ spl4_66 ),
    inference(forward_demodulation,[],[f2054,f566]) ).

fof(f2062,plain,
    ( e0 != op(op(e1,e2),e2)
    | ~ spl4_13
    | spl4_18 ),
    inference(forward_demodulation,[],[f339,f315]) ).

fof(f2070,plain,
    ( e2 != op(op(e3,e0),e0)
    | spl4_34
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f413,f417]) ).

fof(f2071,plain,
    ( e2 != op(e1,e0)
    | spl4_34
    | ~ spl4_35
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f2070,f595]) ).

fof(f2072,plain,
    ( $false
    | spl4_34
    | ~ spl4_35
    | ~ spl4_67
    | ~ spl4_72 ),
    inference(forward_subsumption_resolution,[],[f2071,f569]) ).

fof(f2073,plain,
    ( spl4_34
    | ~ spl4_35
    | ~ spl4_67
    | ~ spl4_72 ),
    inference(avatar_contradiction_clause,[],[f2072]) ).

fof(f2074,plain,
    ( e1 != op(e3,e0)
    | spl4_32
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f404,f417]) ).

fof(f2076,plain,
    ( $false
    | spl4_32
    | ~ spl4_35
    | ~ spl4_72 ),
    inference(forward_subsumption_resolution,[],[f2074,f595]) ).

fof(f2077,plain,
    ( spl4_32
    | ~ spl4_35
    | ~ spl4_72 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2081,plain,
    ( ~ spl4_35
    | ~ spl4_80 ),
    inference(avatar_split_clause,[],[f1691,f648,f416]) ).

fof(f2083,plain,
    ( ~ spl4_67
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1353,f678,f568]) ).

fof(f2115,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_47 ),
    inference(forward_demodulation,[],[f120,f475]) ).

fof(f2126,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_48 ),
    inference(forward_demodulation,[],[f155,f478]) ).

fof(f2132,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_31
    | spl4_33 ),
    inference(forward_demodulation,[],[f409,f399]) ).

fof(f2136,plain,
    ( e1 != op(op(e2,e0),e0)
    | ~ spl4_31
    | spl4_36 ),
    inference(forward_demodulation,[],[f423,f399]) ).

fof(f2137,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_31
    | spl4_36
    | ~ spl4_48 ),
    inference(forward_demodulation,[],[f2136,f478]) ).

fof(f2138,plain,
    ( $false
    | ~ spl4_31
    | spl4_36
    | ~ spl4_48
    | ~ spl4_72 ),
    inference(forward_subsumption_resolution,[],[f2137,f595]) ).

fof(f2139,plain,
    ( ~ spl4_31
    | spl4_36
    | ~ spl4_48
    | ~ spl4_72 ),
    inference(avatar_contradiction_clause,[],[f2138]) ).

fof(f2147,plain,
    ( ~ spl4_31
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f1803,f682,f398]) ).

fof(f2151,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f116,f595]) ).

fof(f2155,plain,
    ( ~ spl4_28
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1398,f594,f385]) ).

fof(f2156,plain,
    ( ~ spl4_82
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f2151,f594,f661]) ).

fof(f2162,plain,
    ( e0 = e2
    | ~ spl4_1
    | ~ spl4_8 ),
    inference(superposition,[],[f260,f291]) ).

fof(f2167,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f2162,f163]) ).

fof(f2168,plain,
    ( ~ spl4_1
    | ~ spl4_8 ),
    inference(avatar_contradiction_clause,[],[f2167]) ).

fof(f2208,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_28
    | spl4_29 ),
    inference(forward_demodulation,[],[f391,f386]) ).

fof(f2215,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_28
    | spl4_33 ),
    inference(forward_demodulation,[],[f409,f386]) ).

fof(f2217,plain,
    ( e1 != op(e0,e3)
    | spl4_7
    | ~ spl4_8
    | ~ spl4_47 ),
    inference(forward_demodulation,[],[f1967,f475]) ).

fof(f2219,plain,
    ( e2 = op(e0,e3)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_47 ),
    inference(forward_demodulation,[],[f2050,f475]) ).

fof(f2220,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_47
    | spl4_54 ),
    inference(forward_subsumption_resolution,[],[f2219,f506]) ).

fof(f2221,plain,
    ( ~ spl4_3
    | ~ spl4_8
    | ~ spl4_47
    | spl4_54 ),
    inference(avatar_contradiction_clause,[],[f2220]) ).

fof(f2234,plain,
    ( e3 != op(op(e1,e0),e0)
    | ~ spl4_28
    | spl4_30 ),
    inference(forward_demodulation,[],[f395,f386]) ).

fof(f2235,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_28
    | spl4_30
    | ~ spl4_67 ),
    inference(forward_demodulation,[],[f2234,f569]) ).

fof(f2236,plain,
    ( $false
    | ~ spl4_28
    | spl4_30
    | ~ spl4_48
    | ~ spl4_67 ),
    inference(forward_subsumption_resolution,[],[f2235,f478]) ).

fof(f2237,plain,
    ( ~ spl4_28
    | spl4_30
    | ~ spl4_48
    | ~ spl4_67 ),
    inference(avatar_contradiction_clause,[],[f2236]) ).

fof(f2244,plain,
    ( ~ spl4_73
    | ~ spl4_22
    | spl4_23 ),
    inference(avatar_split_clause,[],[f1728,f360,f356,f601]) ).

fof(f2247,plain,
    ( ~ spl4_13
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f1926,f464,f314]) ).

fof(f2248,plain,
    ( ~ spl4_52
    | ~ spl4_8
    | spl4_9
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f1970,f464,f295,f290,f496]) ).

fof(f2252,plain,
    ( ~ spl4_67
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1397,f553,f568]) ).

fof(f2254,plain,
    ( e1 != op(e1,e0)
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f158,f386]) ).

fof(f2257,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_76 ),
    inference(forward_demodulation,[],[f151,f621]) ).

fof(f2259,plain,
    ( ~ spl4_53
    | ~ spl4_28
    | spl4_33 ),
    inference(avatar_split_clause,[],[f2215,f407,f385,f500]) ).

fof(f2260,plain,
    ( e3 != op(e1,e3)
    | ~ spl4_80 ),
    inference(forward_demodulation,[],[f140,f650]) ).

fof(f2261,plain,
    ( e1 != op(e2,e0)
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f157,f386]) ).

fof(f2264,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_76 ),
    inference(forward_demodulation,[],[f152,f621]) ).

fof(f2269,plain,
    ( ~ spl4_73
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f2257,f619,f601]) ).

fof(f2270,plain,
    ( ~ spl4_79
    | ~ spl4_80 ),
    inference(avatar_split_clause,[],[f2260,f648,f644]) ).

fof(f2271,plain,
    ( ~ spl4_82
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f1666,f272,f661]) ).

fof(f2272,plain,
    ( ~ spl4_45
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f1696,f272,f464]) ).

fof(f2273,plain,
    ( ~ spl4_51
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f1697,f272,f491]) ).

fof(f2274,plain,
    ( ~ spl4_48
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f1675,f332,f477]) ).

fof(f2276,plain,
    ( ~ spl4_67
    | ~ spl4_28
    | spl4_29 ),
    inference(avatar_split_clause,[],[f2208,f389,f385,f568]) ).

fof(f2279,plain,
    ( ~ spl4_46
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f1705,f449,f468]) ).

fof(f2281,plain,
    ( ~ spl4_63
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f1672,f459,f548]) ).

fof(f2283,plain,
    ( ~ spl4_67
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1807,f542,f568]) ).

fof(f2290,plain,
    ( ~ spl4_74
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f2261,f385,f605]) ).

fof(f2364,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_42 ),
    inference(forward_demodulation,[],[f148,f450]) ).

fof(f2375,plain,
    ( e2 != op(e1,e3)
    | ~ spl4_4
    | spl4_6 ),
    inference(forward_demodulation,[],[f283,f273]) ).

fof(f2376,plain,
    ( e1 != op(e3,e2)
    | spl4_11
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f307,f333]) ).

fof(f2385,plain,
    ( e2 != op(op(e1,e3),e3)
    | spl4_3
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f269,f273]) ).

fof(f2386,plain,
    ( e2 != op(e0,e3)
    | spl4_3
    | ~ spl4_4
    | ~ spl4_52 ),
    inference(forward_demodulation,[],[f2385,f498]) ).

fof(f2389,plain,
    ( e1 != op(op(e3,e2),e2)
    | spl4_16
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f329,f333]) ).

fof(f2390,plain,
    ( e1 != op(e0,e2)
    | spl4_16
    | ~ spl4_17
    | ~ spl4_61 ),
    inference(forward_demodulation,[],[f2389,f540]) ).

fof(f2395,plain,
    ( e0 != op(op(e3,e2),e2)
    | ~ spl4_17
    | spl4_18 ),
    inference(forward_demodulation,[],[f339,f333]) ).

fof(f2408,plain,
    ( e2 != op(op(e1,e0),e0)
    | ~ spl4_28
    | spl4_34 ),
    inference(forward_demodulation,[],[f413,f386]) ).

fof(f2409,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_28
    | spl4_34
    | ~ spl4_53 ),
    inference(forward_demodulation,[],[f2408,f501]) ).

fof(f2427,plain,
    ( e1 != op(e0,e2)
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f133,f386]) ).

fof(f2430,plain,
    ( e0 != op(e0,e3)
    | ~ spl4_76 ),
    inference(forward_demodulation,[],[f130,f621]) ).

fof(f2434,plain,
    ( ~ spl4_62
    | ~ spl4_28
    | spl4_34
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f2409,f500,f411,f385,f542]) ).

fof(f2437,plain,
    ( ~ spl4_54
    | spl4_3
    | ~ spl4_4
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f2386,f496,f272,f267,f505]) ).

fof(f2439,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_52 ),
    inference(forward_demodulation,[],[f137,f498]) ).

fof(f2442,plain,
    ( ~ spl4_47
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f2439,f496,f473]) ).

fof(f2444,plain,
    ( ~ spl4_87
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f2021,f314,f689]) ).

fof(f2445,plain,
    ( ~ spl4_65
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f2036,f314,f559]) ).

fof(f2446,plain,
    ( ~ spl4_50
    | ~ spl4_13
    | spl4_15 ),
    inference(avatar_split_clause,[],[f2040,f323,f314,f486]) ).

fof(f2447,plain,
    ( ~ spl4_62
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f1573,f398,f542]) ).

fof(f2449,plain,
    ( ~ spl4_88
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f2115,f473,f695]) ).

fof(f2450,plain,
    ( ~ spl4_53
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f2126,f477,f500]) ).

fof(f2451,plain,
    ( ~ spl4_22
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f2037,f548,f356]) ).

fof(f2452,plain,
    ( ~ spl4_76
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1690,f583,f619]) ).

fof(f2453,plain,
    ( ~ spl4_55
    | ~ spl4_80 ),
    inference(avatar_split_clause,[],[f1688,f648,f509]) ).

fof(f2456,plain,
    ( ~ spl4_28
    | ~ spl4_90 ),
    inference(avatar_split_clause,[],[f1695,f708,f385]) ).

fof(f2458,plain,
    ( ~ spl4_85
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f1602,f655,f678]) ).

fof(f2459,plain,
    ( ~ spl4_49
    | ~ spl4_4
    | spl4_6 ),
    inference(avatar_split_clause,[],[f2375,f281,f272,f482]) ).

fof(f2460,plain,
    ( ~ spl4_26
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f2364,f449,f374]) ).

fof(f2462,plain,
    ( e0 != op(op(e1,e3),e3)
    | ~ spl4_4
    | spl4_9 ),
    inference(forward_demodulation,[],[f297,f273]) ).

fof(f2516,plain,
    ( e2 != op(e1,e2)
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f123,f484]) ).

fof(f2518,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f124,f484]) ).

fof(f2520,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_50 ),
    inference(forward_demodulation,[],[f125,f487]) ).

fof(f2566,plain,
    ( e3 != op(e0,e1)
    | ~ spl4_19
    | spl4_24 ),
    inference(forward_demodulation,[],[f367,f344]) ).

fof(f2573,plain,
    ( e0 != op(e3,e2)
    | ~ spl4_13
    | spl4_18
    | ~ spl4_50 ),
    inference(forward_demodulation,[],[f2062,f487]) ).

fof(f2576,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_4
    | spl4_9
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f2462,f484]) ).

fof(f2577,plain,
    ( $false
    | ~ spl4_4
    | spl4_9
    | ~ spl4_47
    | ~ spl4_49 ),
    inference(forward_subsumption_resolution,[],[f2576,f475]) ).

fof(f2578,plain,
    ( ~ spl4_4
    | spl4_9
    | ~ spl4_47
    | ~ spl4_49 ),
    inference(avatar_contradiction_clause,[],[f2577]) ).

fof(f2579,plain,
    ( ~ spl4_56
    | spl4_7
    | ~ spl4_8
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f2217,f473,f290,f285,f514]) ).

fof(f2588,plain,
    ( ~ spl4_50
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f1376,f444,f486]) ).

fof(f2590,plain,
    ( ~ spl4_4
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f1607,f514,f272]) ).

fof(f2592,plain,
    ( e2 = e3
    | ~ spl4_49
    | ~ spl4_79 ),
    inference(forward_demodulation,[],[f646,f484]) ).

fof(f2594,plain,
    ( ~ spl4_50
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1937,f644,f486]) ).

fof(f2608,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f141,f315]) ).

fof(f2611,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f132,f399]) ).

fof(f2612,plain,
    ( ~ spl4_57
    | ~ spl4_19
    | spl4_24 ),
    inference(avatar_split_clause,[],[f2566,f365,f343,f518]) ).

fof(f2613,plain,
    ( ~ spl4_85
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f2516,f482,f678]) ).

fof(f2614,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_19 ),
    inference(forward_demodulation,[],[f125,f344]) ).

fof(f2616,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_70 ),
    inference(forward_demodulation,[],[f146,f585]) ).

fof(f2624,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f136,f484]) ).

fof(f2625,plain,
    ( $false
    | ~ spl4_49
    | ~ spl4_79 ),
    inference(forward_subsumption_resolution,[],[f2592,f159]) ).

fof(f2626,plain,
    ( ~ spl4_49
    | ~ spl4_79 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2627,plain,
    ( ~ spl4_66
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f2614,f343,f564]) ).

fof(f2628,plain,
    ( ~ spl4_66
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f2616,f583,f564]) ).

fof(f2629,plain,
    ( ~ spl4_8
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f2624,f482,f290]) ).

fof(f2630,plain,
    ( ~ spl4_50
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f1702,f332,f486]) ).

fof(f2631,plain,
    ( ~ spl4_59
    | spl4_11
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f2376,f332,f305,f529]) ).

fof(f2633,plain,
    ( e2 != op(op(e0,e1),e1)
    | ~ spl4_19
    | spl4_25 ),
    inference(forward_demodulation,[],[f371,f344]) ).

fof(f2635,plain,
    ( ~ spl4_48
    | ~ spl4_31
    | spl4_33 ),
    inference(avatar_split_clause,[],[f2132,f407,f398,f477]) ).

fof(f2636,plain,
    ( ~ spl4_49
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f1698,f459,f482]) ).

fof(f2644,plain,
    ( e0 != op(e1,e3)
    | ~ spl4_19 ),
    inference(forward_demodulation,[],[f124,f344]) ).

fof(f2650,plain,
    ( ~ spl4_52
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f2644,f343,f496]) ).

fof(f2689,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_59 ),
    inference(forward_demodulation,[],[f113,f531]) ).

fof(f2691,plain,
    ( e0 != op(e3,e0)
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f114,f260]) ).

fof(f2705,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f135,f260]) ).

fof(f2721,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_1
    | spl4_2 ),
    inference(forward_demodulation,[],[f265,f260]) ).

fof(f2722,plain,
    ( $false
    | ~ spl4_1
    | spl4_2
    | ~ spl4_56 ),
    inference(forward_subsumption_resolution,[],[f2721,f516]) ).

fof(f2723,plain,
    ( ~ spl4_1
    | spl4_2
    | ~ spl4_56 ),
    inference(avatar_contradiction_clause,[],[f2722]) ).

fof(f2732,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_1
    | spl4_6 ),
    inference(forward_demodulation,[],[f283,f260]) ).

fof(f2733,plain,
    ( e1 = op(e3,e2)
    | ~ spl4_11
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f306,f333]) ).

fof(f2740,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_17
    | spl4_18
    | ~ spl4_59 ),
    inference(forward_demodulation,[],[f2395,f531]) ).

fof(f2741,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_19
    | spl4_25
    | ~ spl4_57 ),
    inference(forward_demodulation,[],[f2633,f519]) ).

fof(f2745,plain,
    ( $false
    | spl4_21
    | ~ spl4_22
    | ~ spl4_57
    | ~ spl4_73 ),
    inference(forward_subsumption_resolution,[],[f1733,f519]) ).

fof(f2746,plain,
    ( spl4_21
    | ~ spl4_22
    | ~ spl4_57
    | ~ spl4_73 ),
    inference(avatar_contradiction_clause,[],[f2745]) ).

fof(f2750,plain,
    ( ~ spl4_19
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1706,f601,f343]) ).

fof(f2763,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f158,f399]) ).

fof(f2770,plain,
    ( spl4_59
    | ~ spl4_11
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f2733,f332,f305,f529]) ).

fof(f2774,plain,
    ( ~ spl4_74
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f2024,f314,f605]) ).

fof(f2775,plain,
    ( ~ spl4_59
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f2608,f314,f529]) ).

fof(f2777,plain,
    ( ~ spl4_60
    | ~ spl4_19
    | spl4_25
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f2741,f518,f369,f343,f533]) ).

fof(f2780,plain,
    ( ~ spl4_74
    | ~ spl4_31
    | spl4_32 ),
    inference(avatar_split_clause,[],[f1736,f402,f398,f605]) ).

fof(f2781,plain,
    ( ~ spl4_22
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f2518,f482,f356]) ).

fof(f2783,plain,
    ( ~ spl4_26
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f2520,f486,f374]) ).

fof(f2784,plain,
    ( ~ spl4_60
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1574,f548,f533]) ).

fof(f2787,plain,
    ( ~ spl4_47
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f2705,f259,f473]) ).

fof(f2872,plain,
    ( e2 != op(op(e0,e3),e3)
    | ~ spl4_1
    | spl4_3 ),
    inference(forward_demodulation,[],[f269,f260]) ).

fof(f2873,plain,
    ( e2 != op(e1,e3)
    | ~ spl4_1
    | spl4_3
    | ~ spl4_56 ),
    inference(forward_demodulation,[],[f2872,f516]) ).

fof(f2874,plain,
    ( $false
    | ~ spl4_1
    | spl4_3
    | ~ spl4_49
    | ~ spl4_56 ),
    inference(forward_subsumption_resolution,[],[f2873,f484]) ).

fof(f2875,plain,
    ( ~ spl4_1
    | spl4_3
    | ~ spl4_49
    | ~ spl4_56 ),
    inference(avatar_contradiction_clause,[],[f2874]) ).

fof(f2882,plain,
    ( ~ spl4_43
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f1669,f449,f454]) ).

fof(f2884,plain,
    ( ~ spl4_70
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f1806,f538,f583]) ).

fof(f2891,plain,
    ( ~ spl4_56
    | ~ spl4_90 ),
    inference(avatar_split_clause,[],[f1753,f708,f514]) ).

fof(f2898,plain,
    ( ~ spl4_61
    | ~ spl4_13
    | spl4_18
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f2573,f486,f337,f314,f538]) ).

fof(f2912,plain,
    ( ~ spl4_68
    | spl4_16
    | ~ spl4_17
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f2390,f538,f332,f327,f574]) ).

fof(f3017,plain,
    ( e0 != op(e3,e2)
    | spl4_14
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f320,f333]) ).

fof(f3018,plain,
    ( $false
    | spl4_14
    | ~ spl4_17
    | ~ spl4_61 ),
    inference(forward_subsumption_resolution,[],[f3017,f540]) ).

fof(f3019,plain,
    ( spl4_14
    | ~ spl4_17
    | ~ spl4_61 ),
    inference(avatar_contradiction_clause,[],[f3018]) ).

fof(f3022,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_10
    | spl4_12
    | ~ spl4_68 ),
    inference(forward_demodulation,[],[f1971,f576]) ).

fof(f3057,plain,
    ( ~ spl4_50
    | ~ spl4_10
    | spl4_12
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f3022,f574,f309,f301,f486]) ).

fof(f3096,plain,
    ( e1 != op(e0,e2)
    | ~ spl4_10
    | spl4_11 ),
    inference(forward_demodulation,[],[f307,f302]) ).

fof(f3097,plain,
    ( $false
    | ~ spl4_10
    | spl4_11
    | ~ spl4_68 ),
    inference(forward_subsumption_resolution,[],[f3096,f576]) ).

fof(f3098,plain,
    ( ~ spl4_10
    | spl4_11
    | ~ spl4_68 ),
    inference(avatar_contradiction_clause,[],[f3097]) ).

fof(f3099,plain,
    ( ~ spl4_83
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f2691,f259,f667]) ).

fof(f3104,plain,
    ( ~ spl4_68
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f2427,f385,f574]) ).

fof(f3105,plain,
    ( ~ spl4_75
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f2254,f385,f612]) ).

fof(f3107,plain,
    ( ~ spl4_68
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1704,f559,f574]) ).

fof(f3108,plain,
    ( ~ spl4_19
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f2264,f619,f343]) ).

fof(f3109,plain,
    ( ~ spl4_58
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f2430,f619,f523]) ).

fof(f3118,plain,
    ( ~ spl4_70
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f1379,f301,f583]) ).

fof(f3214,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_10
    | spl4_15 ),
    inference(forward_demodulation,[],[f325,f302]) ).

fof(f3215,plain,
    ( $false
    | ~ spl4_10
    | spl4_15
    | ~ spl4_55 ),
    inference(forward_subsumption_resolution,[],[f3214,f510]) ).

fof(f3216,plain,
    ( ~ spl4_10
    | spl4_15
    | ~ spl4_55 ),
    inference(avatar_contradiction_clause,[],[f3215]) ).

fof(f3219,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_10
    | spl4_16
    | ~ spl4_55 ),
    inference(forward_demodulation,[],[f1974,f510]) ).

fof(f3241,plain,
    ( e1 != op(op(e0,e3),e3)
    | ~ spl4_1
    | spl4_7 ),
    inference(forward_demodulation,[],[f287,f260]) ).

fof(f3242,plain,
    ( e1 != op(e2,e3)
    | ~ spl4_1
    | spl4_7
    | ~ spl4_54 ),
    inference(forward_demodulation,[],[f3241,f507]) ).

fof(f3255,plain,
    ( ~ spl4_45
    | ~ spl4_1
    | spl4_7
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f3242,f505,f285,f259,f464]) ).

fof(f3261,plain,
    ( $false
    | spl4_12
    | ~ spl4_13
    | ~ spl4_55
    | ~ spl4_66 ),
    inference(forward_subsumption_resolution,[],[f2055,f510]) ).

fof(f3262,plain,
    ( spl4_12
    | ~ spl4_13
    | ~ spl4_55
    | ~ spl4_66 ),
    inference(avatar_contradiction_clause,[],[f3261]) ).

fof(f3286,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_55 ),
    inference(forward_demodulation,[],[f145,f510]) ).

fof(f3288,plain,
    ( ~ spl4_17
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f3286,f509,f332]) ).

fof(f3336,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_13
    | spl4_14 ),
    inference(forward_demodulation,[],[f320,f315]) ).

fof(f3337,plain,
    ( $false
    | ~ spl4_13
    | spl4_14
    | ~ spl4_66 ),
    inference(forward_subsumption_resolution,[],[f3336,f566]) ).

fof(f3338,plain,
    ( ~ spl4_13
    | spl4_14
    | ~ spl4_66 ),
    inference(avatar_contradiction_clause,[],[f3337]) ).

fof(f3343,plain,
    ( ~ spl4_59
    | ~ spl4_10
    | spl4_16
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f3219,f509,f327,f301,f529]) ).

fof(f3348,plain,
    ( ~ spl4_82
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f2689,f529,f661]) ).

fof(f3372,plain,
    ( ~ spl4_54
    | ~ spl4_1
    | spl4_6 ),
    inference(avatar_split_clause,[],[f2732,f281,f259,f505]) ).

fof(f3373,plain,
    ( ~ spl4_66
    | ~ spl4_17
    | spl4_18
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f2740,f529,f337,f332,f564]) ).

fof(f3375,plain,
    ( ~ spl4_54
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f1700,f459,f505]) ).

fof(f3389,plain,
    ( ~ spl4_67
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f2763,f398,f568]) ).

fof(f3390,plain,
    ( ~ spl4_54
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f2611,f398,f505]) ).

fof(f3516,plain,
    ( e0 != op(op(e3,e1),e1)
    | ~ spl4_26
    | spl4_27 ),
    inference(forward_demodulation,[],[f381,f375]) ).

fof(f3517,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_26
    | spl4_27
    | ~ spl4_60 ),
    inference(forward_demodulation,[],[f3516,f534]) ).

fof(f3518,plain,
    ( $false
    | ~ spl4_26
    | spl4_27
    | ~ spl4_60
    | ~ spl4_73 ),
    inference(forward_subsumption_resolution,[],[f3517,f603]) ).

fof(f3519,plain,
    ( ~ spl4_26
    | spl4_27
    | ~ spl4_60
    | ~ spl4_73 ),
    inference(avatar_contradiction_clause,[],[f3518]) ).

cnf(s1,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s2,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s3,plain,
    ( ~ spl4_1
    | ~ spl4_6
    | ~ spl4_7 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s4,plain,
    ( ~ spl4_5
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s5,plain,
    ( ~ spl4_4
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s6,plain,
    ( ~ spl4_2
    | ~ spl4_8
    | ~ spl4_9 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s7,plain,
    ( ~ spl4_10
    | ~ spl4_11
    | ~ spl4_12 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s8,plain,
    ( ~ spl4_12
    | ~ spl4_13
    | ~ spl4_14 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s9,plain,
    ( ~ spl4_10
    | ~ spl4_15
    | ~ spl4_16 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s10,plain,
    ( ~ spl4_14
    | ~ spl4_16
    | ~ spl4_17 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s11,plain,
    ( ~ spl4_13
    | ~ spl4_15
    | ~ spl4_18 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s12,plain,
    ( ~ spl4_11
    | ~ spl4_17
    | ~ spl4_18 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s13,plain,
    ( ~ spl4_19
    | ~ spl4_20
    | ~ spl4_21 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s14,plain,
    ( ~ spl4_21
    | ~ spl4_22
    | ~ spl4_23 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s15,plain,
    ( ~ spl4_19
    | ~ spl4_24
    | ~ spl4_25 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s16,plain,
    ( ~ spl4_23
    | ~ spl4_25
    | ~ spl4_26 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s17,plain,
    ( ~ spl4_22
    | ~ spl4_24
    | ~ spl4_27 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s18,plain,
    ( ~ spl4_20
    | ~ spl4_26
    | ~ spl4_27 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s19,plain,
    ( ~ spl4_28
    | ~ spl4_29
    | ~ spl4_30 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s20,plain,
    ( ~ spl4_30
    | ~ spl4_31
    | ~ spl4_32 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s21,plain,
    ( ~ spl4_28
    | ~ spl4_33
    | ~ spl4_34 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s22,plain,
    ( ~ spl4_32
    | ~ spl4_34
    | ~ spl4_35 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s23,plain,
    ( ~ spl4_31
    | ~ spl4_33
    | ~ spl4_36 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s24,plain,
    ( ~ spl4_29
    | ~ spl4_35
    | ~ spl4_36 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s25,plain,
    ( spl4_37
    | spl4_38
    | spl4_39
    | spl4_40 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s26,plain,
    ( spl4_8
    | ~ spl4_37
    | ~ spl4_41 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s27,plain,
    ( spl4_4
    | ~ spl4_37
    | ~ spl4_42 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s28,plain,
    ( spl4_1
    | ~ spl4_37
    | ~ spl4_43 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s29,plain,
    ( ~ spl4_17
    | ~ spl4_37
    | spl4_44 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s30,plain,
    ( ~ spl4_37
    | spl4_45
    | ~ spl4_46 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s31,plain,
    ( ~ spl4_37
    | spl4_47
    | ~ spl4_48 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s32,plain,
    ( ~ spl4_37
    | spl4_49
    | ~ spl4_50 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s33,plain,
    ( ~ spl4_26
    | ~ spl4_37
    | spl4_51 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s34,plain,
    ( ~ spl4_37
    | spl4_52
    | ~ spl4_53 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s35,plain,
    ( ~ spl4_37
    | spl4_54
    | ~ spl4_55 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s36,plain,
    ( ~ spl4_37
    | spl4_56
    | ~ spl4_57 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s37,plain,
    ( ~ spl4_35
    | ~ spl4_37
    | spl4_58 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s38,plain,
    ( ~ spl4_8
    | ~ spl4_38
    | spl4_41 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s39,plain,
    ( ~ spl4_38
    | spl4_59
    | ~ spl4_60 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s40,plain,
    ( ~ spl4_38
    | spl4_61
    | ~ spl4_62 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s41,plain,
    ( spl4_17
    | ~ spl4_38
    | ~ spl4_44 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s42,plain,
    ( spl4_13
    | ~ spl4_38
    | ~ spl4_63 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s43,plain,
    ( spl4_10
    | ~ spl4_38
    | ~ spl4_64 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s44,plain,
    ( ~ spl4_38
    | ~ spl4_49
    | spl4_50 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s45,plain,
    ( ~ spl4_22
    | ~ spl4_38
    | spl4_65 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s46,plain,
    ( ~ spl4_38
    | spl4_66
    | ~ spl4_67 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s47,plain,
    ( ~ spl4_38
    | ~ spl4_54
    | spl4_55 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s48,plain,
    ( ~ spl4_38
    | spl4_68
    | ~ spl4_69 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s49,plain,
    ( ~ spl4_31
    | ~ spl4_38
    | spl4_70 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s50,plain,
    ( ~ spl4_4
    | ~ spl4_39
    | spl4_42 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s51,plain,
    ( ~ spl4_39
    | ~ spl4_59
    | spl4_60 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s52,plain,
    ( ~ spl4_39
    | spl4_71
    | ~ spl4_72 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s53,plain,
    ( ~ spl4_39
    | ~ spl4_45
    | spl4_46 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s54,plain,
    ( ~ spl4_13
    | ~ spl4_39
    | spl4_63 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s55,plain,
    ( ~ spl4_39
    | spl4_73
    | ~ spl4_74 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s56,plain,
    ( spl4_26
    | ~ spl4_39
    | ~ spl4_51 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s57,plain,
    ( spl4_22
    | ~ spl4_39
    | ~ spl4_65 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s58,plain,
    ( spl4_19
    | ~ spl4_39
    | ~ spl4_75 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s59,plain,
    ( ~ spl4_39
    | ~ spl4_56
    | spl4_57 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s60,plain,
    ( ~ spl4_39
    | ~ spl4_68
    | spl4_69 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s61,plain,
    ( ~ spl4_28
    | ~ spl4_39
    | spl4_76 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s62,plain,
    ( ~ spl4_1
    | ~ spl4_40
    | spl4_43 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s63,plain,
    ( ~ spl4_40
    | ~ spl4_61
    | spl4_62 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s64,plain,
    ( ~ spl4_40
    | ~ spl4_71
    | spl4_72 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s65,plain,
    ( ~ spl4_40
    | ~ spl4_47
    | spl4_48 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s66,plain,
    ( ~ spl4_10
    | ~ spl4_40
    | spl4_64 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s67,plain,
    ( ~ spl4_40
    | ~ spl4_73
    | spl4_74 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s68,plain,
    ( ~ spl4_40
    | ~ spl4_52
    | spl4_53 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s69,plain,
    ( ~ spl4_40
    | ~ spl4_66
    | spl4_67 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s70,plain,
    ( ~ spl4_19
    | ~ spl4_40
    | spl4_75 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s71,plain,
    ( spl4_35
    | ~ spl4_40
    | ~ spl4_58 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s72,plain,
    ( spl4_31
    | ~ spl4_40
    | ~ spl4_70 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s73,plain,
    ( spl4_28
    | ~ spl4_40
    | ~ spl4_76 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s74,plain,
    ( spl4_77
    | spl4_78
    | spl4_79
    | spl4_80 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s75,plain,
    ( spl4_41
    | spl4_42
    | spl4_43
    | spl4_77 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s76,plain,
    ( spl4_8
    | spl4_44
    | spl4_49
    | spl4_54 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s77,plain,
    ( spl4_8
    | spl4_60
    | spl4_62
    | spl4_81 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s78,plain,
    ( spl4_4
    | spl4_45
    | spl4_51
    | spl4_56 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s79,plain,
    ( spl4_4
    | spl4_59
    | spl4_72
    | spl4_82 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s80,plain,
    ( spl4_1
    | spl4_47
    | spl4_52
    | spl4_58 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s81,plain,
    ( spl4_1
    | spl4_61
    | spl4_71
    | spl4_83 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s82,plain,
    ( spl4_17
    | spl4_41
    | spl4_50
    | spl4_55 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s83,plain,
    ( spl4_17
    | spl4_46
    | spl4_48
    | spl4_78 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s84,plain,
    ( spl4_81
    | spl4_84
    | spl4_85
    | spl4_86 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s85,plain,
    ( spl4_44
    | spl4_63
    | spl4_64
    | spl4_84 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s86,plain,
    ( spl4_13
    | spl4_59
    | spl4_65
    | spl4_68 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s87,plain,
    ( spl4_13
    | spl4_45
    | spl4_74
    | spl4_87 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s88,plain,
    ( spl4_10
    | spl4_61
    | spl4_66
    | spl4_70 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s89,plain,
    ( spl4_10
    | spl4_47
    | spl4_73
    | spl4_88 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s90,plain,
    ( spl4_26
    | spl4_42
    | spl4_46
    | spl4_57 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s91,plain,
    ( spl4_26
    | spl4_50
    | spl4_53
    | spl4_79 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s92,plain,
    ( spl4_22
    | spl4_60
    | spl4_63
    | spl4_69 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s93,plain,
    ( spl4_22
    | spl4_49
    | spl4_67
    | spl4_85 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s94,plain,
    ( spl4_82
    | spl4_87
    | spl4_89
    | spl4_90 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s95,plain,
    ( spl4_51
    | spl4_65
    | spl4_75
    | spl4_89 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s96,plain,
    ( spl4_19
    | spl4_71
    | spl4_73
    | spl4_76 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s97,plain,
    ( spl4_19
    | spl4_52
    | spl4_66
    | spl4_91 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s98,plain,
    ( spl4_35
    | spl4_43
    | spl4_48
    | spl4_53 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s99,plain,
    ( spl4_35
    | spl4_55
    | spl4_57
    | spl4_80 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s100,plain,
    ( spl4_31
    | spl4_62
    | spl4_64
    | spl4_67 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s101,plain,
    ( spl4_31
    | spl4_54
    | spl4_69
    | spl4_86 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s102,plain,
    ( spl4_28
    | spl4_72
    | spl4_74
    | spl4_75 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s103,plain,
    ( spl4_28
    | spl4_56
    | spl4_68
    | spl4_90 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s104,plain,
    ( spl4_83
    | spl4_88
    | spl4_91
    | spl4_92 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s105,plain,
    ( spl4_58
    | spl4_70
    | spl4_76
    | spl4_92 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s106,plain,
    ( spl4_1
    | spl4_4
    | spl4_8
    | spl4_77 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s107,plain,
    ( spl4_41
    | spl4_59
    | spl4_61
    | spl4_81 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s108,plain,
    ( spl4_42
    | spl4_60
    | spl4_71
    | spl4_82 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s109,plain,
    ( spl4_43
    | spl4_62
    | spl4_72
    | spl4_83 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s110,plain,
    ( spl4_44
    | spl4_45
    | spl4_47
    | spl4_78 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s111,plain,
    ( spl4_10
    | spl4_13
    | spl4_17
    | spl4_84 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s112,plain,
    ( spl4_46
    | spl4_63
    | spl4_73
    | spl4_87 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s113,plain,
    ( spl4_48
    | spl4_64
    | spl4_74
    | spl4_88 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s114,plain,
    ( spl4_49
    | spl4_51
    | spl4_52
    | spl4_79 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s115,plain,
    ( spl4_50
    | spl4_65
    | spl4_66
    | spl4_85 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s116,plain,
    ( spl4_19
    | spl4_22
    | spl4_26
    | spl4_89 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s117,plain,
    ( spl4_53
    | spl4_67
    | spl4_75
    | spl4_91 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s118,plain,
    ( spl4_54
    | spl4_56
    | spl4_58
    | spl4_80 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s119,plain,
    ( spl4_55
    | spl4_68
    | spl4_70
    | spl4_86 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s120,plain,
    ( spl4_57
    | spl4_69
    | spl4_76
    | spl4_90 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s121,plain,
    ( spl4_28
    | spl4_31
    | spl4_35
    | spl4_92 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s122,plain,
    ~ spl4_77,
    inference(sat_conversion,[],[f747]) ).

cnf(s123,plain,
    ~ spl4_84,
    inference(sat_conversion,[],[f748]) ).

cnf(s124,plain,
    ~ spl4_89,
    inference(sat_conversion,[],[f749]) ).

cnf(s125,plain,
    ~ spl4_92,
    inference(sat_conversion,[],[f750]) ).

cnf(s126,plain,
    ( ~ spl4_10
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s127,plain,
    ( ~ spl4_19
    | ~ spl4_22 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s128,plain,
    ( ~ spl4_28
    | ~ spl4_31 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s130,plain,
    ( ~ spl4_44
    | ~ spl4_45 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s131,plain,
    ( ~ spl4_13
    | ~ spl4_17 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s133,plain,
    ( ~ spl4_49
    | ~ spl4_51 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s134,plain,
    ( ~ spl4_49
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s135,plain,
    ( ~ spl4_49
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s137,plain,
    ( ~ spl4_54
    | ~ spl4_56 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s139,plain,
    ( ~ spl4_4
    | ~ spl4_8 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s140,plain,
    ( ~ spl4_54
    | ~ spl4_58 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s141,plain,
    ( ~ spl4_54
    | ~ spl4_58 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s143,plain,
    ( ~ spl4_41
    | ~ spl4_59 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s145,plain,
    ( ~ spl4_41
    | ~ spl4_61 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s147,plain,
    ( ~ spl4_46
    | ~ spl4_63 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s149,plain,
    ( ~ spl4_50
    | ~ spl4_65 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s151,plain,
    ( ~ spl4_53
    | ~ spl4_75 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s153,plain,
    ( ~ spl4_57
    | ~ spl4_76 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s155,plain,
    ( ~ spl4_55
    | ~ spl4_70 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s157,plain,
    ( ~ spl4_42
    | ~ spl4_71 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s158,plain,
    ( ~ spl4_47
    | ~ spl4_78 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s160,plain,
    ( ~ spl4_1
    | ~ spl4_4 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s162,plain,
    ( ~ spl4_61
    | ~ spl4_81 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s165,plain,
    ( ~ spl4_22
    | ~ spl4_26 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s166,plain,
    ( ~ spl4_43
    | ~ spl4_62 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s168,plain,
    ( ~ spl4_65
    | ~ spl4_66 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s170,plain,
    ( ~ spl4_51
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s171,plain,
    ( ~ spl4_60
    | ~ spl4_82 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s173,plain,
    ( ~ spl4_60
    | ~ spl4_71 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s175,plain,
    ( ~ spl4_67
    | ~ spl4_75 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s177,plain,
    ( ~ spl4_54
    | ~ spl4_80 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s178,plain,
    ( ~ spl4_2
    | ~ spl4_4
    | spl4_51 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s179,plain,
    ( ~ spl4_51
    | ~ spl4_79 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s183,plain,
    ( ~ spl4_55
    | ~ spl4_86 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s184,plain,
    ( ~ spl4_66
    | ~ spl4_85 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s185,plain,
    ( ~ spl4_50
    | ~ spl4_66 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s186,plain,
    ( ~ spl4_31
    | ~ spl4_35 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s188,plain,
    ( ~ spl4_19
    | ~ spl4_26 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s189,plain,
    ( ~ spl4_70
    | ~ spl4_86 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s190,plain,
    ( ~ spl4_50
    | ~ spl4_85 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s191,plain,
    ( ~ spl4_50
    | ~ spl4_85 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s193,plain,
    ( ~ spl4_45
    | ~ spl4_78 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s195,plain,
    ( ~ spl4_48
    | ~ spl4_64 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s197,plain,
    ( ~ spl4_64
    | ~ spl4_88 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s198,plain,
    ( ~ spl4_76
    | ~ spl4_90 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s200,plain,
    ( ~ spl4_55
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s201,plain,
    ( ~ spl4_28
    | ~ spl4_35 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s202,plain,
    ( ~ spl4_28
    | ~ spl4_35 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s204,plain,
    ( ~ spl4_46
    | ~ spl4_87 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s206,plain,
    ( ~ spl4_59
    | ~ spl4_61 ),
    inference(sat_conversion,[],[f1148]) ).

cnf(s208,plain,
    ( ~ spl4_65
    | ~ spl4_85 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s209,plain,
    ( ~ spl4_63
    | ~ spl4_87 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s210,plain,
    ( ~ spl4_69
    | ~ spl4_76 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s212,plain,
    ( ~ spl4_42
    | ~ spl4_60 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s215,plain,
    ( ~ spl4_68
    | ~ spl4_86 ),
    inference(sat_conversion,[],[f1224]) ).

cnf(s217,plain,
    ( ~ spl4_73
    | ~ spl4_87 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s219,plain,
    ( ~ spl4_56
    | ~ spl4_58 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s220,plain,
    ( ~ spl4_72
    | ~ spl4_83 ),
    inference(sat_conversion,[],[f1272]) ).

cnf(s223,plain,
    ( ~ spl4_53
    | ~ spl4_91 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s224,plain,
    ( ~ spl4_10
    | ~ spl4_17 ),
    inference(sat_conversion,[],[f1295]) ).

cnf(s225,plain,
    ( ~ spl4_43
    | ~ spl4_72 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s227,plain,
    ( ~ spl4_57
    | ~ spl4_69 ),
    inference(sat_conversion,[],[f1313]) ).

cnf(s229,plain,
    ( spl4_25
    | ~ spl4_26
    | ~ spl4_69
    | ~ spl4_71 ),
    inference(sat_conversion,[],[f1412]) ).

cnf(s230,plain,
    ( ~ spl4_10
    | ~ spl4_73 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s232,plain,
    ( spl4_2
    | ~ spl4_8
    | ~ spl4_45 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s233,plain,
    ( ~ spl4_19
    | ~ spl4_71 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s234,plain,
    ( ~ spl4_75
    | ~ spl4_91 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s235,plain,
    ( ~ spl4_71
    | ~ spl4_82 ),
    inference(sat_conversion,[],[f1432]) ).

cnf(s236,plain,
    ( ~ spl4_63
    | ~ spl4_64 ),
    inference(sat_conversion,[],[f1433]) ).

cnf(s238,plain,
    ( ~ spl4_52
    | ~ spl4_91 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s241,plain,
    ( ~ spl4_41
    | ~ spl4_43 ),
    inference(sat_conversion,[],[f1440]) ).

cnf(s242,plain,
    ( ~ spl4_2
    | ~ spl4_8
    | spl4_45 ),
    inference(sat_conversion,[],[f1444]) ).

cnf(s243,plain,
    ( ~ spl4_35
    | ~ spl4_53 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s244,plain,
    ( ~ spl4_35
    | ~ spl4_43 ),
    inference(sat_conversion,[],[f1446]) ).

cnf(s245,plain,
    ( ~ spl4_19
    | spl4_20
    | ~ spl4_69 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s246,plain,
    ( ~ spl4_19
    | spl4_21
    | ~ spl4_46
    | ~ spl4_69 ),
    inference(sat_conversion,[],[f1492]) ).

cnf(s249,plain,
    ( ~ spl4_51
    | ~ spl4_56 ),
    inference(sat_conversion,[],[f1496]) ).

cnf(s250,plain,
    ( ~ spl4_51
    | ~ spl4_75 ),
    inference(sat_conversion,[],[f1497]) ).

cnf(s253,plain,
    ( ~ spl4_83
    | ~ spl4_91 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s254,plain,
    ( spl4_5
    | ~ spl4_8
    | ~ spl4_47 ),
    inference(sat_conversion,[],[f1504]) ).

cnf(s255,plain,
    ( ~ spl4_8
    | ~ spl4_44 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s256,plain,
    ( ~ spl4_31
    | ~ spl4_69 ),
    inference(sat_conversion,[],[f1508]) ).

cnf(s258,plain,
    ( ~ spl4_26
    | ~ spl4_46 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s259,plain,
    ( ~ spl4_17
    | ~ spl4_41 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s261,plain,
    ( ~ spl4_46
    | ~ spl4_48 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s262,plain,
    ( ~ spl4_83
    | ~ spl4_88 ),
    inference(sat_conversion,[],[f1516]) ).

cnf(s263,plain,
    ( ~ spl4_56
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s264,plain,
    ( ~ spl4_46
    | ~ spl4_78 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s266,plain,
    ( ~ spl4_17
    | ~ spl4_46 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s268,plain,
    ( ~ spl4_13
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f1522]) ).

cnf(s270,plain,
    ( ~ spl4_45
    | ~ spl4_51 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s271,plain,
    ( ~ spl4_31
    | ~ spl4_64 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s272,plain,
    ( ~ spl4_44
    | ~ spl4_64 ),
    inference(sat_conversion,[],[f1529]) ).

cnf(s276,plain,
    ( ~ spl4_69
    | ~ spl4_86 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s281,plain,
    ( ~ spl4_78
    | ~ spl4_80 ),
    inference(sat_conversion,[],[f1536]) ).

cnf(s283,plain,
    ( ~ spl4_17
    | ~ spl4_78 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s284,plain,
    ( ~ spl4_78
    | ~ spl4_79 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s285,plain,
    ( ~ spl4_82
    | ~ spl4_87 ),
    inference(sat_conversion,[],[f1541]) ).

cnf(s288,plain,
    ( ~ spl4_82
    | ~ spl4_90 ),
    inference(sat_conversion,[],[f1542]) ).

cnf(s290,plain,
    ( ~ spl4_63
    | ~ spl4_73 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s291,plain,
    ( ~ spl4_71
    | ~ spl4_83 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s294,plain,
    ( ~ spl4_41
    | ~ spl4_81 ),
    inference(sat_conversion,[],[f1594]) ).

cnf(s295,plain,
    ( ~ spl4_43
    | ~ spl4_53 ),
    inference(sat_conversion,[],[f1597]) ).

cnf(s296,plain,
    ( ~ spl4_56
    | ~ spl4_80 ),
    inference(sat_conversion,[],[f1609]) ).

cnf(s298,plain,
    ( ~ spl4_8
    | ~ spl4_81 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s299,plain,
    ( ~ spl4_1
    | ~ spl4_71 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s300,plain,
    ( ~ spl4_1
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s301,plain,
    ( ~ spl4_53
    | ~ spl4_79 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s303,plain,
    ( ~ spl4_22
    | ~ spl4_60 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s304,plain,
    ( ~ spl4_60
    | ~ spl4_81 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s311,plain,
    ( ~ spl4_59
    | ~ spl4_81 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s316,plain,
    ( spl4_30
    | ~ spl4_31
    | ~ spl4_53
    | ~ spl4_74 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s319,plain,
    ( ~ spl4_58
    | ~ spl4_70 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s324,plain,
    ( ~ spl4_65
    | ~ spl4_75 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s325,plain,
    ( ~ spl4_22
    | ~ spl4_67 ),
    inference(sat_conversion,[],[f1756]) ).

cnf(s326,plain,
    ( ~ spl4_74
    | ~ spl4_75 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s328,plain,
    ( ~ spl4_41
    | ~ spl4_42 ),
    inference(sat_conversion,[],[f1762]) ).

cnf(s330,plain,
    ( ~ spl4_59
    | ~ spl4_65 ),
    inference(sat_conversion,[],[f1763]) ).

cnf(s331,plain,
    ( ~ spl4_4
    | ~ spl4_59 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s332,plain,
    ( ~ spl4_4
    | spl4_5
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s335,plain,
    ( ~ spl4_44
    | ~ spl4_47 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s340,plain,
    ( ~ spl4_8
    | ~ spl4_60 ),
    inference(sat_conversion,[],[f1819]) ).

cnf(s344,plain,
    ( spl4_23
    | ~ spl4_26
    | ~ spl4_71 ),
    inference(sat_conversion,[],[f1822]) ).

cnf(s345,plain,
    ( spl4_20
    | ~ spl4_26
    | ~ spl4_60 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s349,plain,
    ( ~ spl4_51
    | ~ spl4_65 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s351,plain,
    ( ~ spl4_62
    | ~ spl4_64 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s356,plain,
    ( ~ spl4_73
    | ~ spl4_88 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s357,plain,
    ( ~ spl4_35
    | spl4_36
    | ~ spl4_62
    | ~ spl4_74 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s358,plain,
    ( ~ spl4_47
    | ~ spl4_58 ),
    inference(sat_conversion,[],[f1844]) ).

cnf(s359,plain,
    ( ~ spl4_67
    | ~ spl4_91 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s360,plain,
    ( ~ spl4_88
    | ~ spl4_91 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s362,plain,
    ( ~ spl4_62
    | ~ spl4_64 ),
    inference(sat_conversion,[],[f1858]) ).

cnf(s363,plain,
    ( ~ spl4_66
    | ~ spl4_91 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s364,plain,
    ( ~ spl4_85
    | ~ spl4_86 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s365,plain,
    ( ~ spl4_62
    | ~ spl4_81 ),
    inference(sat_conversion,[],[f1861]) ).

cnf(s366,plain,
    ( ~ spl4_81
    | ~ spl4_86 ),
    inference(sat_conversion,[],[f1862]) ).

cnf(s367,plain,
    ( ~ spl4_47
    | ~ spl4_73 ),
    inference(sat_conversion,[],[f1863]) ).

cnf(s369,plain,
    ( ~ spl4_60
    | ~ spl4_62 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s374,plain,
    ( ~ spl4_8
    | ~ spl4_62 ),
    inference(sat_conversion,[],[f1867]) ).

cnf(s375,plain,
    ( ~ spl4_1
    | ~ spl4_58 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s378,plain,
    ( ~ spl4_10
    | ~ spl4_47 ),
    inference(sat_conversion,[],[f1869]) ).

cnf(s380,plain,
    ( ~ spl4_10
    | ~ spl4_66 ),
    inference(sat_conversion,[],[f1870]) ).

cnf(s381,plain,
    ( ~ spl4_10
    | ~ spl4_88 ),
    inference(sat_conversion,[],[f1871]) ).

cnf(s383,plain,
    ( ~ spl4_22
    | spl4_24
    | ~ spl4_46 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s384,plain,
    ( spl4_29
    | ~ spl4_35
    | ~ spl4_62 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s386,plain,
    ( ~ spl4_45
    | ~ spl4_87 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s396,plain,
    ( ~ spl4_26
    | ~ spl4_79 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s400,plain,
    ( ~ spl4_87
    | ~ spl4_90 ),
    inference(sat_conversion,[],[f1884]) ).

cnf(s403,plain,
    ( ~ spl4_22
    | spl4_27
    | ~ spl4_46
    | ~ spl4_71 ),
    inference(sat_conversion,[],[f1988]) ).

cnf(s418,plain,
    ( spl4_3
    | ~ spl4_8
    | ~ spl4_78 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s420,plain,
    ( spl4_34
    | ~ spl4_35
    | ~ spl4_67
    | ~ spl4_72 ),
    inference(sat_conversion,[],[f2073]) ).

cnf(s421,plain,
    ( spl4_32
    | ~ spl4_35
    | ~ spl4_72 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s424,plain,
    ( ~ spl4_35
    | ~ spl4_80 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s426,plain,
    ( ~ spl4_67
    | ~ spl4_85 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s433,plain,
    ( ~ spl4_31
    | spl4_36
    | ~ spl4_48
    | ~ spl4_72 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s438,plain,
    ( ~ spl4_31
    | ~ spl4_86 ),
    inference(sat_conversion,[],[f2147]) ).

cnf(s445,plain,
    ( ~ spl4_28
    | ~ spl4_72 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s447,plain,
    ( ~ spl4_72
    | ~ spl4_82 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s455,plain,
    ( ~ spl4_1
    | ~ spl4_8 ),
    inference(sat_conversion,[],[f2168]) ).

cnf(s458,plain,
    ( ~ spl4_3
    | ~ spl4_8
    | ~ spl4_47
    | spl4_54 ),
    inference(sat_conversion,[],[f2221]) ).

cnf(s460,plain,
    ( ~ spl4_28
    | spl4_30
    | ~ spl4_48
    | ~ spl4_67 ),
    inference(sat_conversion,[],[f2237]) ).

cnf(s476,plain,
    ( ~ spl4_22
    | spl4_23
    | ~ spl4_73 ),
    inference(sat_conversion,[],[f2244]) ).

cnf(s483,plain,
    ( ~ spl4_13
    | ~ spl4_45 ),
    inference(sat_conversion,[],[f2247]) ).

cnf(s484,plain,
    ( ~ spl4_8
    | spl4_9
    | ~ spl4_45
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f2248]) ).

cnf(s494,plain,
    ( ~ spl4_64
    | ~ spl4_67 ),
    inference(sat_conversion,[],[f2252]) ).

cnf(s502,plain,
    ( ~ spl4_28
    | spl4_33
    | ~ spl4_53 ),
    inference(sat_conversion,[],[f2259]) ).

cnf(s512,plain,
    ( ~ spl4_73
    | ~ spl4_76 ),
    inference(sat_conversion,[],[f2269]) ).

cnf(s514,plain,
    ( ~ spl4_79
    | ~ spl4_80 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s522,plain,
    ( ~ spl4_4
    | ~ spl4_82 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s523,plain,
    ( ~ spl4_4
    | ~ spl4_45 ),
    inference(sat_conversion,[],[f2272]) ).

cnf(s524,plain,
    ( ~ spl4_4
    | ~ spl4_51 ),
    inference(sat_conversion,[],[f2273]) ).

cnf(s525,plain,
    ( ~ spl4_17
    | ~ spl4_48 ),
    inference(sat_conversion,[],[f2274]) ).

cnf(s529,plain,
    ( ~ spl4_28
    | spl4_29
    | ~ spl4_67 ),
    inference(sat_conversion,[],[f2276]) ).

cnf(s531,plain,
    ( ~ spl4_42
    | ~ spl4_46 ),
    inference(sat_conversion,[],[f2279]) ).

cnf(s534,plain,
    ( ~ spl4_44
    | ~ spl4_63 ),
    inference(sat_conversion,[],[f2281]) ).

cnf(s540,plain,
    ( ~ spl4_62
    | ~ spl4_67 ),
    inference(sat_conversion,[],[f2283]) ).

cnf(s544,plain,
    ( ~ spl4_28
    | ~ spl4_74 ),
    inference(sat_conversion,[],[f2290]) ).

cnf(s568,plain,
    ( ~ spl4_28
    | spl4_34
    | ~ spl4_53
    | ~ spl4_62 ),
    inference(sat_conversion,[],[f2434]) ).

cnf(s569,plain,
    ( spl4_3
    | ~ spl4_4
    | ~ spl4_52
    | ~ spl4_54 ),
    inference(sat_conversion,[],[f2437]) ).

cnf(s572,plain,
    ( ~ spl4_47
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f2442]) ).

cnf(s576,plain,
    ( ~ spl4_13
    | ~ spl4_87 ),
    inference(sat_conversion,[],[f2444]) ).

cnf(s577,plain,
    ( ~ spl4_13
    | ~ spl4_65 ),
    inference(sat_conversion,[],[f2445]) ).

cnf(s578,plain,
    ( ~ spl4_13
    | spl4_15
    | ~ spl4_50 ),
    inference(sat_conversion,[],[f2446]) ).

cnf(s580,plain,
    ( ~ spl4_31
    | ~ spl4_62 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s582,plain,
    ( ~ spl4_47
    | ~ spl4_88 ),
    inference(sat_conversion,[],[f2449]) ).

cnf(s583,plain,
    ( ~ spl4_48
    | ~ spl4_53 ),
    inference(sat_conversion,[],[f2450]) ).

cnf(s585,plain,
    ( ~ spl4_22
    | ~ spl4_63 ),
    inference(sat_conversion,[],[f2451]) ).

cnf(s588,plain,
    ( ~ spl4_70
    | ~ spl4_76 ),
    inference(sat_conversion,[],[f2452]) ).

cnf(s591,plain,
    ( ~ spl4_55
    | ~ spl4_80 ),
    inference(sat_conversion,[],[f2453]) ).

cnf(s599,plain,
    ( ~ spl4_28
    | ~ spl4_90 ),
    inference(sat_conversion,[],[f2456]) ).

cnf(s600,plain,
    ( ~ spl4_81
    | ~ spl4_85 ),
    inference(sat_conversion,[],[f2458]) ).

cnf(s604,plain,
    ( ~ spl4_4
    | spl4_6
    | ~ spl4_49 ),
    inference(sat_conversion,[],[f2459]) ).

cnf(s607,plain,
    ( ~ spl4_26
    | ~ spl4_42 ),
    inference(sat_conversion,[],[f2460]) ).

cnf(s610,plain,
    ( ~ spl4_4
    | spl4_9
    | ~ spl4_47
    | ~ spl4_49 ),
    inference(sat_conversion,[],[f2578]) ).

cnf(s611,plain,
    ( spl4_7
    | ~ spl4_8
    | ~ spl4_47
    | ~ spl4_56 ),
    inference(sat_conversion,[],[f2579]) ).

cnf(s616,plain,
    ( ~ spl4_41
    | ~ spl4_50 ),
    inference(sat_conversion,[],[f2588]) ).

cnf(s620,plain,
    ( ~ spl4_4
    | ~ spl4_56 ),
    inference(sat_conversion,[],[f2590]) ).

cnf(s623,plain,
    ( ~ spl4_50
    | ~ spl4_79 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s627,plain,
    ( ~ spl4_19
    | spl4_24
    | ~ spl4_57 ),
    inference(sat_conversion,[],[f2612]) ).

cnf(s628,plain,
    ( ~ spl4_49
    | ~ spl4_85 ),
    inference(sat_conversion,[],[f2613]) ).

cnf(s633,plain,
    ( ~ spl4_49
    | ~ spl4_79 ),
    inference(sat_conversion,[],[f2626]) ).

cnf(s634,plain,
    ( ~ spl4_19
    | ~ spl4_66 ),
    inference(sat_conversion,[],[f2627]) ).

cnf(s636,plain,
    ( ~ spl4_66
    | ~ spl4_70 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s637,plain,
    ( ~ spl4_8
    | ~ spl4_49 ),
    inference(sat_conversion,[],[f2629]) ).

cnf(s639,plain,
    ( ~ spl4_17
    | ~ spl4_50 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s643,plain,
    ( spl4_11
    | ~ spl4_17
    | ~ spl4_59 ),
    inference(sat_conversion,[],[f2631]) ).

cnf(s644,plain,
    ( ~ spl4_31
    | spl4_33
    | ~ spl4_48 ),
    inference(sat_conversion,[],[f2635]) ).

cnf(s645,plain,
    ( ~ spl4_44
    | ~ spl4_49 ),
    inference(sat_conversion,[],[f2636]) ).

cnf(s659,plain,
    ( ~ spl4_19
    | ~ spl4_52 ),
    inference(sat_conversion,[],[f2650]) ).

cnf(s661,plain,
    ( ~ spl4_1
    | spl4_2
    | ~ spl4_56 ),
    inference(sat_conversion,[],[f2723]) ).

cnf(s667,plain,
    ( spl4_21
    | ~ spl4_22
    | ~ spl4_57
    | ~ spl4_73 ),
    inference(sat_conversion,[],[f2746]) ).

cnf(s677,plain,
    ( ~ spl4_19
    | ~ spl4_73 ),
    inference(sat_conversion,[],[f2750]) ).

cnf(s689,plain,
    ( ~ spl4_11
    | ~ spl4_17
    | spl4_59 ),
    inference(sat_conversion,[],[f2770]) ).

cnf(s696,plain,
    ( ~ spl4_13
    | ~ spl4_74 ),
    inference(sat_conversion,[],[f2774]) ).

cnf(s698,plain,
    ( ~ spl4_13
    | ~ spl4_59 ),
    inference(sat_conversion,[],[f2775]) ).

cnf(s705,plain,
    ( ~ spl4_19
    | spl4_25
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(sat_conversion,[],[f2777]) ).

cnf(s708,plain,
    ( ~ spl4_31
    | spl4_32
    | ~ spl4_74 ),
    inference(sat_conversion,[],[f2780]) ).

cnf(s710,plain,
    ( ~ spl4_22
    | ~ spl4_49 ),
    inference(sat_conversion,[],[f2781]) ).

cnf(s711,plain,
    ( ~ spl4_26
    | ~ spl4_50 ),
    inference(sat_conversion,[],[f2783]) ).

cnf(s712,plain,
    ( ~ spl4_60
    | ~ spl4_63 ),
    inference(sat_conversion,[],[f2784]) ).

cnf(s726,plain,
    ( ~ spl4_1
    | ~ spl4_47 ),
    inference(sat_conversion,[],[f2787]) ).

cnf(s733,plain,
    ( ~ spl4_1
    | spl4_3
    | ~ spl4_49
    | ~ spl4_56 ),
    inference(sat_conversion,[],[f2875]) ).

cnf(s743,plain,
    ( ~ spl4_42
    | ~ spl4_43 ),
    inference(sat_conversion,[],[f2882]) ).

cnf(s752,plain,
    ( ~ spl4_61
    | ~ spl4_70 ),
    inference(sat_conversion,[],[f2884]) ).

cnf(s763,plain,
    ( ~ spl4_56
    | ~ spl4_90 ),
    inference(sat_conversion,[],[f2891]) ).

cnf(s764,plain,
    ( ~ spl4_13
    | spl4_18
    | ~ spl4_50
    | ~ spl4_61 ),
    inference(sat_conversion,[],[f2898]) ).

cnf(s778,plain,
    ( spl4_16
    | ~ spl4_17
    | ~ spl4_61
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f2912]) ).

cnf(s811,plain,
    ( spl4_14
    | ~ spl4_17
    | ~ spl4_61 ),
    inference(sat_conversion,[],[f3019]) ).

cnf(s843,plain,
    ( ~ spl4_10
    | spl4_12
    | ~ spl4_50
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s845,plain,
    ( ~ spl4_10
    | spl4_11
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f3098]) ).

cnf(s846,plain,
    ( ~ spl4_1
    | ~ spl4_83 ),
    inference(sat_conversion,[],[f3099]) ).

cnf(s855,plain,
    ( ~ spl4_28
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f3104]) ).

cnf(s856,plain,
    ( ~ spl4_28
    | ~ spl4_75 ),
    inference(sat_conversion,[],[f3105]) ).

cnf(s864,plain,
    ( ~ spl4_65
    | ~ spl4_68 ),
    inference(sat_conversion,[],[f3107]) ).

cnf(s870,plain,
    ( ~ spl4_19
    | ~ spl4_76 ),
    inference(sat_conversion,[],[f3108]) ).

cnf(s871,plain,
    ( ~ spl4_58
    | ~ spl4_76 ),
    inference(sat_conversion,[],[f3109]) ).

cnf(s897,plain,
    ( ~ spl4_10
    | ~ spl4_70 ),
    inference(sat_conversion,[],[f3118]) ).

cnf(s905,plain,
    ( ~ spl4_10
    | spl4_15
    | ~ spl4_55 ),
    inference(sat_conversion,[],[f3216]) ).

cnf(s909,plain,
    ( ~ spl4_1
    | spl4_7
    | ~ spl4_45
    | ~ spl4_54 ),
    inference(sat_conversion,[],[f3255]) ).

cnf(s916,plain,
    ( spl4_12
    | ~ spl4_13
    | ~ spl4_55
    | ~ spl4_66 ),
    inference(sat_conversion,[],[f3262]) ).

cnf(s959,plain,
    ( ~ spl4_17
    | ~ spl4_55 ),
    inference(sat_conversion,[],[f3288]) ).

cnf(s961,plain,
    ( ~ spl4_13
    | spl4_14
    | ~ spl4_66 ),
    inference(sat_conversion,[],[f3338]) ).

cnf(s966,plain,
    ( ~ spl4_10
    | spl4_16
    | ~ spl4_55
    | ~ spl4_59 ),
    inference(sat_conversion,[],[f3343]) ).

cnf(s973,plain,
    ( ~ spl4_59
    | ~ spl4_82 ),
    inference(sat_conversion,[],[f3348]) ).

cnf(s992,plain,
    ( ~ spl4_1
    | spl4_6
    | ~ spl4_54 ),
    inference(sat_conversion,[],[f3372]) ).

cnf(s996,plain,
    ( ~ spl4_17
    | spl4_18
    | ~ spl4_59
    | ~ spl4_66 ),
    inference(sat_conversion,[],[f3373]) ).

cnf(s1000,plain,
    ( ~ spl4_44
    | ~ spl4_54 ),
    inference(sat_conversion,[],[f3375]) ).

cnf(s1043,plain,
    ( ~ spl4_31
    | ~ spl4_67 ),
    inference(sat_conversion,[],[f3389]) ).

cnf(s1044,plain,
    ( ~ spl4_31
    | ~ spl4_54 ),
    inference(sat_conversion,[],[f3390]) ).

cnf(s1083,plain,
    ( ~ spl4_26
    | spl4_27
    | ~ spl4_60
    | ~ spl4_73 ),
    inference(sat_conversion,[],[f3519]) ).

cnf(s1084,plain,
    ( spl4_28
    | spl4_31
    | spl4_35 ),
    inference(rat,[],[s121,s125]) ).

cnf(s1085,plain,
    ( spl4_19
    | spl4_22
    | spl4_26 ),
    inference(rat,[],[s116,s124]) ).

cnf(s1086,plain,
    ( spl4_10
    | spl4_13
    | spl4_17 ),
    inference(rat,[],[s111,s123]) ).

cnf(s1087,plain,
    ( spl4_1
    | spl4_4
    | spl4_8 ),
    inference(rat,[],[s106,s122]) ).

cnf(s1088,plain,
    ( spl4_58
    | spl4_70
    | spl4_76 ),
    inference(rat,[],[s105,s125]) ).

cnf(s1089,plain,
    ( spl4_83
    | spl4_88
    | spl4_91 ),
    inference(rat,[],[s104,s125]) ).

cnf(s1090,plain,
    ( spl4_51
    | spl4_65
    | spl4_75 ),
    inference(rat,[],[s95,s124]) ).

cnf(s1091,plain,
    ( spl4_82
    | spl4_87
    | spl4_90 ),
    inference(rat,[],[s94,s124]) ).

cnf(s1092,plain,
    ( spl4_44
    | spl4_63
    | spl4_64 ),
    inference(rat,[],[s85,s123]) ).

cnf(s1093,plain,
    ( spl4_81
    | spl4_85
    | spl4_86 ),
    inference(rat,[],[s84,s123]) ).

cnf(s1094,plain,
    ( spl4_41
    | spl4_42
    | spl4_43 ),
    inference(rat,[],[s75,s122]) ).

cnf(s1095,plain,
    ( spl4_78
    | spl4_79
    | spl4_80 ),
    inference(rat,[],[s74,s122]) ).

cnf(s1096,plain,
    ( spl4_13
    | spl4_11
    | spl4_65
    | spl4_10
    | spl4_81 ),
    inference(rat,[],[s10,s778,s811,s107,s86,s259,s643,s1086]) ).

cnf(s1097,plain,
    ( spl4_41
    | ~ spl4_13
    | spl4_55
    | ~ spl4_51
    | ~ spl4_8 ),
    inference(rat,[],[s56,s25,s63,s32,s711,s38,s107,s82,s637,s374,s298,s698,s131]) ).

cnf(s1098,plain,
    ( spl4_26
    | spl4_50
    | spl4_74
    | ~ spl4_51
    | ~ spl4_47 ),
    inference(rat,[],[s43,s25,s113,s65,s34,s583,s91,s56,s582,s572,s378,s179]) ).

cnf(s1099,plain,
    ( spl4_82
    | ~ spl4_48
    | spl4_87
    | spl4_59
    | spl4_35
    | spl4_4 ),
    inference(rat,[],[s23,s433,s644,s1084,s599,s79,s1091]) ).

cnf(s1100,plain,
    ( ~ spl4_13
    | ~ spl4_51
    | ~ spl4_47
    | spl4_78
    | ~ spl4_8
    | spl4_4 ),
    inference(rat,[],[s19,s460,s529,s117,s253,s102,s109,s447,s1099,s583,s83,s258,s1098,s241,s616,s1097,s131,s576,s696,s698,s374,s250,s591,s424,s1095,s179]) ).

cnf(s1101,plain,
    ( spl4_4
    | spl4_3
    | spl4_2
    | spl4_1 ),
    inference(rat,[],[s25,s51,s38,s65,s689,s29,s259,s525,s1096,s1086,s1100,s349,s78,s611,s4,s254,s378,s110,s232,s418,s255,s298,s340,s1087]) ).

cnf(s1102,plain,
    ( ~ spl4_41
    | spl4_26
    | spl4_71
    | ~ spl4_70
    | spl4_44
    | spl4_53
    | ~ spl4_4 ),
    inference(rat,[],[s72,s1044,s25,s76,s39,s633,s108,s50,s91,s26,s328,s616,s522,s331,s139]) ).

cnf(s1103,plain,
    ( ~ spl4_47
    | ~ spl4_13
    | ~ spl4_4 ),
    inference(rat,[],[s5,s610,s604,s114,s623,s82,s1102,s188,s96,s155,s291,s1088,s1089,s335,s358,s367,s572,s582,s131,s234,s151,s1090,s577,s524,s198,s1091,s576,s522]) ).

cnf(s1104,plain,
    ( ~ spl4_38
    | spl4_55
    | spl4_44
    | spl4_50
    | spl4_8 ),
    inference(rat,[],[s76,s44,s47]) ).

cnf(s1105,plain,
    ( ~ spl4_40
    | spl4_31
    | spl4_61
    | spl4_67
    | spl4_10 ),
    inference(rat,[],[s88,s69,s72]) ).

cnf(s1106,plain,
    ( spl4_31
    | spl4_39
    | spl4_37
    | spl4_61
    | spl4_67
    | spl4_10 ),
    inference(rat,[],[s100,s40,s43,s25,s1105]) ).

cnf(s1107,plain,
    ( ~ spl4_41
    | ~ spl4_13
    | ~ spl4_4 ),
    inference(rat,[],[s67,s25,s112,s261,s39,s712,s98,s77,s186,s580,s1106,s50,s26,s145,s241,s294,s328,s331,s139,s696,s576,s126,s175,s151,s1090,s577,s524]) ).

cnf(s1108,plain,
    ( spl4_50
    | ~ spl4_38
    | spl4_41
    | spl4_76
    | spl4_17
    | spl4_8 ),
    inference(rat,[],[s140,s1088,s76,s155,s44,s82,s41]) ).

cnf(s1109,plain,
    ( ~ spl4_38
    | ~ spl4_13
    | ~ spl4_4
    | spl4_1 ),
    inference(rat,[],[s81,s764,s233,s11,s1085,s578,s711,s1108,s262,s89,s290,s92,s39,s45,s48,s331,s139,s577,s268,s131,s126,s198,s1091,s576,s522,s1103,s1107]) ).

cnf(s1110,plain,
    ( spl4_44
    | spl4_37
    | spl4_54
    | spl4_50
    | spl4_38
    | spl4_47
    | spl4_65
    | ~ spl4_4 ),
    inference(rat,[],[s25,s50,s69,s607,s115,s91,s628,s284,s76,s110,s523,s139,s175,s151,s1090,s524]) ).

cnf(s1111,plain,
    ( spl4_50
    | spl4_38
    | ~ spl4_13
    | ~ spl4_4 ),
    inference(rat,[],[s531,s1094,s112,s244,s67,s71,s25,s54,s534,s1110,s35,s141,s1088,s155,s82,s696,s577,s131,s198,s1091,s576,s522,s1103,s1107]) ).

cnf(s1112,plain,
    ( ~ spl4_13
    | ~ spl4_4
    | spl4_1 ),
    inference(rat,[],[s25,s32,s58,s68,s135,s659,s80,s319,s88,s764,s11,s578,s185,s1111,s1109,s1103,s151,s1090,s126,s577,s524]) ).

cnf(s1113,plain,
    ( ~ spl4_38
    | ~ spl4_41
    | ~ spl4_4 ),
    inference(rat,[],[s77,s40,s39,s331,s139,s294,s145]) ).

cnf(s1114,plain,
    ( spl4_65
    | spl4_44
    | spl4_38
    | spl4_47
    | spl4_66
    | spl4_37
    | spl4_50
    | ~ spl4_4
    | spl4_3 ),
    inference(rat,[],[s114,s569,s628,s1110,s115,s524,s284,s110,s523]) ).

cnf(s1115,plain,
    ( ~ spl4_41
    | ~ spl4_4
    | spl4_3
    | spl4_1 ),
    inference(rat,[],[s134,s97,s93,s70,s208,s324,s1114,s253,s81,s173,s303,s77,s272,s362,s494,s66,s25,s1113,s378,s380,s1086,s50,s26,s145,s259,s294,s328,s616,s139,s1112]) ).

cnf(s1116,plain,
    ( ~ spl4_47
    | spl4_63
    | ~ spl4_38 ),
    inference(rat,[],[s1092,s43,s335,s378]) ).

cnf(s1117,plain,
    ( spl4_44
    | spl4_49
    | spl4_47
    | ~ spl4_4
    | spl4_3 ),
    inference(rat,[],[s114,s569,s284,s76,s110,s524,s523,s139]) ).

cnf(s1118,plain,
    ( spl4_65
    | spl4_11
    | spl4_10
    | spl4_49
    | ~ spl4_38
    | spl4_13
    | spl4_51 ),
    inference(rat,[],[s93,s600,s175,s45,s1096,s1090]) ).

cnf(s1119,plain,
    ( ~ spl4_53
    | ~ spl4_74
    | ~ spl4_31 ),
    inference(rat,[],[s20,s708,s316]) ).

cnf(s1121,plain,
    ( spl4_53
    | ~ spl4_62
    | spl4_67
    | spl4_75
    | spl4_48
    | spl4_64 ),
    inference(rat,[],[s357,s113,s24,s360,s384,s117,s98,s166]) ).

cnf(s1122,plain,
    ( ~ spl4_28
    | ~ spl4_62
    | ~ spl4_53 ),
    inference(rat,[],[s21,s502,s568]) ).

cnf(s1123,plain,
    ( ~ spl4_61
    | spl4_67
    | spl4_75
    | spl4_48
    | spl4_64
    | spl4_60
    | ~ spl4_38
    | spl4_8 ),
    inference(rat,[],[s1122,s1084,s243,s1121,s77,s49,s162,s752]) ).

cnf(s1125,plain,
    ( spl4_49
    | ~ spl4_38
    | ~ spl4_4
    | spl4_3
    | spl4_1 ),
    inference(rat,[],[s87,s400,s1119,s103,s117,s128,s238,s80,s319,s100,s88,s40,s1123,s46,s168,s324,s864,s1118,s689,s224,s525,s41,s272,s1117,s620,s524,s523,s139,s39,s331,s1116,s42,s1112]) ).

cnf(s1126,plain,
    ( ~ spl4_38
    | ~ spl4_4
    | spl4_3
    | spl4_1 ),
    inference(rat,[],[s7,s843,s845,s43,s48,s1092,s92,s44,s645,s710,s1125,s39,s42,s331,s1112]) ).

cnf(s1127,plain,
    ( spl4_65
    | spl4_85
    | ~ spl4_39
    | spl4_50
    | spl4_51 ),
    inference(rat,[],[s634,s58,s115,s1090]) ).

cnf(s1128,plain,
    ( ~ spl4_17
    | spl4_44
    | spl4_38
    | ~ spl4_4 ),
    inference(rat,[],[s127,s97,s57,s168,s1127,s600,s253,s77,s109,s362,s52,s113,s157,s212,s743,s55,s50,s25,s65,s367,s572,s582,s110,s29,s283,s525,s639,s524,s523,s139]) ).

cnf(s1129,plain,
    ( spl4_65
    | spl4_85
    | ~ spl4_10
    | spl4_13
    | spl4_59 ),
    inference(rat,[],[s7,s843,s845,s115,s86,s380]) ).

cnf(s1130,plain,
    ( spl4_44
    | ~ spl4_4
    | spl4_3
    | spl4_1 ),
    inference(rat,[],[s1094,s607,s244,s1085,s71,s70,s25,s35,s82,s57,s149,s324,s1129,s141,s80,s135,s628,s710,s1117,s378,s1086,s1128,s331,s1112,s1115,s1126]) ).

cnf(s1131,plain,
    ( spl4_10
    | spl4_46
    | spl4_73
    | spl4_65
    | spl4_47
    | spl4_49
    | spl4_38
    | spl4_13
    | spl4_59
    | spl4_51
    | spl4_56
    | spl4_1 ),
    inference(rat,[],[s36,s90,s25,s157,s69,s165,s81,s1127,s115,s93,s162,s600,s1096,s262,s689,s639,s89,s1086,s175,s1090]) ).

cnf(s1132,plain,
    ( spl4_65
    | spl4_47
    | spl4_49
    | spl4_38
    | spl4_41
    | spl4_13
    | spl4_59
    | spl4_45
    | spl4_51
    | spl4_56
    | spl4_1 ),
    inference(rat,[],[s190,s82,s1129,s224,s1131,s204,s217,s87,s200,s326,s86,s1090]) ).

cnf(s1133,plain,
    ( spl4_74
    | spl4_19
    | ~ spl4_40
    | spl4_48
    | spl4_66
    | spl4_68
    | spl4_64
    | spl4_13
    | spl4_45
    | spl4_56 ),
    inference(rat,[],[s109,s1122,s295,s68,s445,s97,s103,s262,s360,s400,s113,s87]) ).

cnf(s1134,plain,
    ( spl4_53
    | ~ spl4_40
    | spl4_48
    | spl4_66
    | spl4_75
    | spl4_64
    | spl4_47
    | spl4_1 ),
    inference(rat,[],[s1121,s100,s186,s359,s71,s97,s80,s68,s70]) ).

cnf(s1135,plain,
    ( ~ spl4_40
    | spl4_48
    | spl4_66
    | spl4_75
    | spl4_68
    | spl4_64
    | spl4_47
    | spl4_13
    | spl4_45
    | spl4_56
    | spl4_1 ),
    inference(rat,[],[s1084,s1119,s243,s1134,s544,s1133,s70]) ).

cnf(s1136,plain,
    ( spl4_53
    | spl4_67
    | spl4_43
    | spl4_48
    | spl4_75
    | spl4_64 ),
    inference(rat,[],[s100,s186,s1121,s98]) ).

cnf(s1137,plain,
    ( ~ spl4_31
    | ~ spl4_53
    | spl4_72
    | spl4_75 ),
    inference(rat,[],[s102,s1119,s128]) ).

cnf(s1138,plain,
    ( ~ spl4_39
    | spl4_48
    | ~ spl4_65
    | spl4_64
    | ~ spl4_4 ),
    inference(rat,[],[s1122,s100,s1084,s1137,s243,s1136,s52,s325,s157,s743,s57,s50,s324]) ).

cnf(s1139,plain,
    ( spl4_53
    | spl4_60
    | spl4_43
    | ~ spl4_37
    | spl4_48
    | spl4_10
    | spl4_66
    | spl4_75
    | spl4_64
    | spl4_8 ),
    inference(rat,[],[s162,s88,s77,s319,s540,s37,s1136,s98]) ).

cnf(s1140,plain,
    ( spl4_62
    | spl4_67
    | ~ spl4_53
    | spl4_71
    | spl4_60
    | spl4_75
    | spl4_64
    | spl4_8
    | spl4_1 ),
    inference(rat,[],[s220,s81,s1137,s162,s100,s77]) ).

cnf(s1141,plain,
    ( spl4_10
    | ~ spl4_65
    | spl4_64
    | spl4_47
    | spl4_38
    | ~ spl4_4
    | spl4_1 ),
    inference(rat,[],[s1084,s1122,s580,s1140,s325,s1085,s659,s34,s243,s1139,s157,s212,s90,s28,s33,s36,s25,s1138,s1135,s266,s525,s1086,s620,s524,s523,s139,s1112,s864,s324,s168]) ).

cnf(s1142,plain,
    ( spl4_3
    | spl4_2
    | spl4_1 ),
    inference(rat,[],[s52,s102,s157,s61,s55,s50,s871,s25,s118,s35,s591,s82,s66,s224,s230,s1141,s149,s324,s1132,s272,s335,s645,s1000,s1130,s1126,s1115,s1112,s331,s523,s524,s620,s1101]) ).

cnf(s1143,plain,
    ( ~ spl4_47
    | ~ spl4_13
    | spl4_45
    | ~ spl4_8
    | spl4_4
    | ~ spl4_3 ),
    inference(rat,[],[s78,s137,s1100,s458,s158]) ).

cnf(s1144,plain,
    ( ~ spl4_13
    | spl4_22
    | ~ spl4_38
    | spl4_45
    | spl4_4
    | ~ spl4_3
    | spl4_1 ),
    inference(rat,[],[s22,s420,s421,s1084,s93,s49,s184,s319,s97,s80,s170,s78,s763,s1091,s445,s233,s235,s109,s81,s262,s360,s89,s1143,s290,s92,s48,s126,s268,s576,s637,s374,s340,s241,s145,s38,s1087]) ).

cnf(s1145,plain,
    ( ~ spl4_38
    | spl4_65
    | spl4_45
    | spl4_4
    | ~ spl4_3
    | spl4_1 ),
    inference(rat,[],[s16,s229,s344,s96,s188,s90,s264,s210,s227,s110,s230,s92,s1116,s1086,s42,s1144,s259,s328,s45,s38,s340,s255,s1087]) ).

cnf(s1146,plain,
    ( ~ spl4_40
    | ~ spl4_58
    | spl4_75
    | ~ spl4_13
    | spl4_62 ),
    inference(rat,[],[s22,s420,s421,s69,s64,s88,s96,s71,s67,s63,s70,s696,s126,s871,s319]) ).

cnf(s1147,plain,
    ( ~ spl4_39
    | spl4_76
    | ~ spl4_51
    | spl4_75
    | spl4_47
    | ~ spl4_13
    | ~ spl4_8 ),
    inference(rat,[],[s22,s420,s421,s1084,s438,s93,s1093,s184,s97,s360,s89,s102,s290,s165,s188,s61,s54,s56,s637,s298,s696,s126,s170]) ).

cnf(s1148,plain,
    ( ~ spl4_67
    | ~ spl4_35
    | ~ spl4_72 ),
    inference(rat,[],[s22,s421,s420]) ).

cnf(s1149,plain,
    ( spl4_75
    | spl4_46
    | spl4_80
    | spl4_47
    | ~ spl4_13
    | spl4_38
    | spl4_65
    | spl4_4
    | spl4_1 ),
    inference(rat,[],[s1148,s102,s93,s202,s364,s165,s99,s119,s90,s27,s35,s36,s25,s1147,s1146,s141,s319,s871,s80,s170,s249,s1090,s637,s374,s1087,s696,s268]) ).

cnf(s1150,plain,
    ( ~ spl4_13
    | spl4_65
    | spl4_45
    | spl4_4
    | ~ spl4_3
    | spl4_1 ),
    inference(rat,[],[s91,s32,s33,s25,s58,s68,s659,s114,s151,s250,s1149,s264,s281,s284,s110,s1143,s637,s255,s1087,s1145]) ).

cnf(s1151,plain,
    ( ~ spl4_47
    | spl4_13
    | spl4_38
    | spl4_65
    | ~ spl4_8 ),
    inference(rat,[],[s51,s25,s65,s689,s29,s525,s1096,s1086,s378,s340,s298,s255]) ).

cnf(s1152,plain,
    ( ~ spl4_69
    | ~ spl4_71
    | ~ spl4_26 ),
    inference(rat,[],[s16,s344,s229]) ).

cnf(s1153,plain,
    ( spl4_75
    | spl4_90
    | spl4_31
    | ~ spl4_40
    | spl4_73
    | spl4_66
    | spl4_79
    | spl4_47
    | spl4_65
    | spl4_1 ),
    inference(rat,[],[s1152,s91,s101,s616,s215,s1094,s103,s157,s202,s244,s96,s223,s71,s141,s871,s97,s80,s170,s249,s70,s1090]) ).

cnf(s1154,plain,
    ( ~ spl4_40
    | ~ spl4_10
    | spl4_46
    | spl4_79
    | spl4_47
    | spl4_65
    | spl4_49
    | spl4_1 ),
    inference(rat,[],[s68,s114,s151,s250,s1153,s400,s112,s236,s271,s66,s380,s230]) ).

cnf(s1155,plain,
    ( ~ spl4_39
    | spl4_73
    | spl4_13
    | spl4_65
    | spl4_45
    | spl4_60
    | spl4_4 ),
    inference(rat,[],[s1152,s52,s56,s79,s78,s285,s60,s263,s87,s86,s55,s51]) ).

cnf(s1156,plain,
    ( spl4_65
    | spl4_45
    | spl4_4
    | ~ spl4_3
    | spl4_1 ),
    inference(rat,[],[s1152,s101,s96,s141,s871,s186,s188,s80,s99,s90,s170,s36,s78,s200,s263,s86,s143,s364,s1094,s115,s27,s28,s32,s25,s1155,s1154,s230,s380,s1086,s264,s281,s283,s284,s110,s1151,s1150,s1145,s637,s340,s255,s1087]) ).

cnf(s1157,plain,
    ( spl4_4
    | spl4_2
    | spl4_1 ),
    inference(rat,[],[s46,s25,s117,s68,s37,s243,s238,s99,s59,s80,s153,s458,s1088,s183,s189,s137,s219,s296,s1093,s78,s168,s208,s324,s349,s1156,s232,s298,s1087,s1142]) ).

cnf(s1158,plain,
    ( spl4_10
    | spl4_66
    | spl4_70
    | spl4_65
    | spl4_13
    | spl4_59 ),
    inference(rat,[],[s1096,s162,s689,s88,s1086]) ).

cnf(s1159,plain,
    ( ~ spl4_38
    | spl4_65
    | spl4_2
    | spl4_1 ),
    inference(rat,[],[s190,s82,s1129,s224,s1158,s634,s1085,s607,s1094,s244,s1084,s319,s256,s80,s92,s1116,s45,s1113,s39,s332,s2,s1142,s856,s200,s86,s331,s209,s87,s326,s1090,s524,s1112,s523,s1157]) ).

cnf(s1160,plain,
    ( ~ spl4_47
    | spl4_38
    | spl4_13
    | ~ spl4_4 ),
    inference(rat,[],[s1128,s1086,s335,s378]) ).

cnf(s1161,plain,
    ( spl4_10
    | spl4_38
    | spl4_65
    | ~ spl4_4
    | spl4_1 ),
    inference(rat,[],[s645,s1128,s1131,s1086,s620,s331,s217,s204,s87,s326,s1090,s524,s523,s1160,s1112]) ).

cnf(s1162,plain,
    ( spl4_65
    | spl4_2
    | spl4_1 ),
    inference(rat,[],[s25,s50,s66,s26,s328,s272,s1132,s76,s628,s1129,s1161,s141,s80,s1160,s1159,s620,s524,s523,s331,s139,s1112,s332,s2,s1142,s1157]) ).

cnf(s1163,plain,
    ( ~ spl4_47
    | ~ spl4_4
    | spl4_13 ),
    inference(rat,[],[s1116,s42,s1160]) ).

cnf(s1164,plain,
    ( ~ spl4_38
    | spl4_54
    | spl4_70
    | spl4_76
    | spl4_50
    | spl4_66
    | spl4_75
    | ~ spl4_4 ),
    inference(rat,[],[s88,s1123,s272,s224,s525,s76,s1108,s44,s46,s1113,s39,s331,s139]) ).

cnf(s1165,plain,
    ( spl4_10
    | spl4_2
    | spl4_1 ),
    inference(rat,[],[s272,s1128,s1141,s1086,s1164,s141,s319,s871,s80,s1163,s1112,s332,s2,s1142,s149,s168,s324,s1162,s1157]) ).

cnf(s1166,plain,
    ( ~ spl4_40
    | spl4_46
    | ~ spl4_10
    | ~ spl4_58
    | spl4_68
    | spl4_56 ),
    inference(rat,[],[s400,s103,s112,s202,s236,s71,s66,s230]) ).

cnf(s1167,plain,
    ( ~ spl4_37
    | spl4_17
    | spl4_54
    | spl4_50
    | spl4_8 ),
    inference(rat,[],[s82,s35,s26]) ).

cnf(s1168,plain,
    ( spl4_44
    | ~ spl4_10
    | spl4_38
    | ~ spl4_58
    | spl4_47
    | ~ spl4_65
    | spl4_8
    | spl4_45
    | spl4_56 ),
    inference(rat,[],[s25,s57,s1166,s710,s264,s76,s110,s864,s1167,s224,s141,s149]) ).

cnf(s1169,plain,
    ( spl4_2
    | spl4_1 ),
    inference(rat,[],[s96,s127,s157,s57,s50,s25,s66,s272,s1168,s1167,s224,s230,s1165,s1164,s141,s319,s871,s80,s1163,s149,s168,s324,s1162,s332,s1112,s2,s139,s523,s620,s1157,s1142]) ).

cnf(s1170,plain,
    ( spl4_22
    | ~ spl4_46
    | spl4_63
    | spl4_26
    | spl4_60 ),
    inference(rat,[],[s13,s246,s245,s92,s1085]) ).

cnf(s1171,plain,
    ( ~ spl4_38
    | ~ spl4_8
    | spl4_1 ),
    inference(rat,[],[s403,s17,s96,s383,s127,s1170,s83,s871,s230,s195,s80,s1086,s1092,s1116,s259,s42,s38,s340,s255,s483,s193,s396,s114,s484,s6,s637,s270,s242,s1169]) ).

cnf(s1172,plain,
    ( spl4_10
    | spl4_70
    | spl4_65
    | spl4_13
    | spl4_81 ),
    inference(rat,[],[s88,s996,s206,s12,s689,s1096,s1086]) ).

cnf(s1173,plain,
    ( spl4_63
    | spl4_22
    | spl4_73
    | spl4_26
    | spl4_87
    | spl4_60 ),
    inference(rat,[],[s1170,s112]) ).

cnf(s1174,plain,
    ( spl4_65
    | ~ spl4_8
    | spl4_1 ),
    inference(rat,[],[s31,s25,s53,s113,s66,s147,s236,s1173,s127,s97,s230,s380,s381,s1172,s319,s80,s234,s326,s1151,s1090,s340,s298,s483,s386,s396,s114,s484,s6,s637,s270,s242,s1169,s1171]) ).

cnf(s1175,plain,
    ( spl4_10
    | spl4_70
    | spl4_66
    | spl4_38
    | ~ spl4_45
    | spl4_44
    | spl4_62 ),
    inference(rat,[],[s25,s53,s63,s29,s266,s88,s1086,s483]) ).

cnf(s1176,plain,
    ( ~ spl4_39
    | spl4_76
    | spl4_73
    | ~ spl4_65
    | ~ spl4_45 ),
    inference(rat,[],[s403,s17,s96,s383,s127,s57,s53]) ).

cnf(s1177,plain,
    ( ~ spl4_37
    | spl4_42
    | spl4_56
    | spl4_76
    | spl4_17
    | spl4_47
    | spl4_69
    | spl4_78
    | spl4_60 ),
    inference(rat,[],[s17,s403,s383,s108,s92,s288,s147,s120,s83,s36,s31]) ).

cnf(s1178,plain,
    ( ~ spl4_71
    | ~ spl4_22
    | ~ spl4_46 ),
    inference(rat,[],[s17,s383,s403]) ).

cnf(s1179,plain,
    ( ~ spl4_8
    | spl4_1 ),
    inference(rat,[],[s1178,s1085,s96,s1166,s70,s25,s1177,s1176,s328,s219,s871,s82,s80,s224,s230,s378,s1175,s183,s189,s276,s1093,s168,s208,s324,s864,s1174,s1171,s396,s623,s114,s484,s193,s270,s6,s242,s255,s298,s340,s374,s637,s1169]) ).

cnf(s1180,plain,
    spl4_1,
    inference(rat,[],[s178,s524,s1087,s1179,s1169]) ).

cnf(s1181,plain,
    ~ spl4_83,
    inference(rat,[],[s846,s1180]) ).

cnf(s1182,plain,
    ~ spl4_47,
    inference(rat,[],[s726,s1180]) ).

cnf(s1183,plain,
    ~ spl4_8,
    inference(rat,[],[s455,s1180]) ).

cnf(s1184,plain,
    ~ spl4_58,
    inference(rat,[],[s375,s1180]) ).

cnf(s1185,plain,
    ~ spl4_52,
    inference(rat,[],[s300,s1180]) ).

cnf(s1186,plain,
    ~ spl4_71,
    inference(rat,[],[s299,s1180]) ).

cnf(s1187,plain,
    ~ spl4_4,
    inference(rat,[],[s160,s1180]) ).

cnf(s1189,plain,
    ( ~ spl4_13
    | spl4_49
    | spl4_10
    | spl4_22
    | ~ spl4_38 ),
    inference(rat,[],[s8,s916,s961,s97,s870,s1088,s360,s155,s89,s47,s290,s76,s92,s41,s48,s39,s131,s268,s698,s1185,s1184,s1182,s1183]) ).

cnf(s1190,plain,
    ( spl4_81
    | ~ spl4_51
    | spl4_10
    | spl4_65
    | ~ spl4_38 ),
    inference(rat,[],[s1083,s18,s96,s345,s188,s91,s295,s1094,s212,s77,s40,s588,s752,s1172,s179,s639,s259,s1086,s1189,s133,s45,s1186,s1183]) ).

cnf(s1191,plain,
    ( ~ spl4_51
    | spl4_10
    | spl4_65
    | ~ spl4_38 ),
    inference(rat,[],[s1088,s210,s636,s92,s115,s304,s600,s1190,s639,s1086,s42,s1189,s133,s45,s1184]) ).

cnf(s1192,plain,
    ( ~ spl4_57
    | ~ spl4_60
    | ~ spl4_19 ),
    inference(rat,[],[s15,s627,s705]) ).

cnf(s1193,plain,
    ( ~ spl4_56
    | spl4_51
    | spl4_10
    | spl4_22
    | ~ spl4_38 ),
    inference(rat,[],[s1192,s120,s870,s92,s1085,s42,s396,s1189,s114,s733,s1,s48,s661,s263,s763,s1185,s1180]) ).

cnf(s1194,plain,
    ( spl4_10
    | spl4_65
    | ~ spl4_38 ),
    inference(rat,[],[s1092,s42,s130,s483,s78,s1193,s1191,s43,s45,s1187]) ).

cnf(s1195,plain,
    ( ~ spl4_55
    | ~ spl4_59
    | ~ spl4_10 ),
    inference(rat,[],[s9,s905,s966]) ).

cnf(s1196,plain,
    ( spl4_65
    | ~ spl4_38 ),
    inference(rat,[],[s1195,s1104,s711,s39,s1085,s92,s210,s870,s42,s41,s1088,s126,s224,s897,s1194,s45,s1184,s1183]) ).

cnf(s1197,plain,
    ( spl4_10
    | ~ spl4_38 ),
    inference(rat,[],[s90,s667,s743,s14,s1136,s476,s266,s525,s89,s1086,s43,s324,s46,s165,s301,s114,s44,s149,s349,s360,s97,s127,s92,s39,s330,s42,s577,s48,s864,s168,s1196,s1182,s1185]) ).

cnf(s1198,plain,
    ~ spl4_38,
    inference(rat,[],[s3,s909,s992,s110,s76,s41,s224,s1197,s284,s114,s44,s149,s349,s1196,s1180,s1182,s1183,s1185]) ).

cnf(s1199,plain,
    ( spl4_19
    | ~ spl4_70
    | spl4_66
    | spl4_31
    | spl4_22
    | ~ spl4_13
    | spl4_10 ),
    inference(rat,[],[s1106,s26,s54,s82,s290,s711,s359,s96,s1085,s97,s131,s752,s588,s155,s1183,s1186,s1185]) ).

cnf(s1200,plain,
    ( ~ spl4_70
    | spl4_66
    | spl4_31
    | ~ spl4_51
    | spl4_22
    | ~ spl4_13
    | spl4_10 ),
    inference(rat,[],[s82,s26,s32,s25,s56,s188,s1199,s72,s155,s131,s133,s1183,s1198]) ).

cnf(s1201,plain,
    ( spl4_66
    | spl4_31
    | spl4_10
    | ~ spl4_51
    | spl4_22
    | ~ spl4_13 ),
    inference(rat,[],[s360,s89,s97,s512,s870,s1088,s1200,s1184,s1185,s1182]) ).

cnf(s1202,plain,
    ( ~ spl4_54
    | spl4_56
    | spl4_22
    | ~ spl4_13
    | spl4_10 ),
    inference(rat,[],[s201,s99,s103,s916,s153,s198,s8,s1088,s961,s636,s1201,s177,s1044,s268,s78,s483,s1184,s1187]) ).

cnf(s1203,plain,
    ( ~ spl4_31
    | spl4_54
    | spl4_49
    | spl4_75
    | spl4_22
    | ~ spl4_13 ),
    inference(rat,[],[s25,s62,s1167,s225,s191,s102,s93,s128,s1043,s696,s131,s54,s534,s76,s1198,s1180,s1183]) ).

cnf(s1204,plain,
    ( spl4_56
    | spl4_22
    | ~ spl4_13
    | spl4_10 ),
    inference(rat,[],[s112,s258,s512,s1085,s1088,s634,s636,s1201,s1203,s534,s76,s1202,s133,s250,s78,s576,s483,s1184,s1183,s1187]) ).

cnf(s1205,plain,
    ( spl4_22
    | ~ spl4_13
    | spl4_65
    | spl4_10 ),
    inference(rat,[],[s1173,s534,s396,s356,s76,s114,s1089,s733,s234,s171,s1,s1090,s1091,s661,s137,s249,s763,s1204,s576,s1183,s1185,s1181,s1180]) ).

cnf(s1206,plain,
    ( spl4_44
    | spl4_39
    | spl4_60
    | spl4_63
    | spl4_49
    | spl4_45
    | spl4_87
    | spl4_74
    | spl4_65 ),
    inference(rat,[],[s32,s115,s25,s363,s600,s67,s1089,s77,s112,s197,s362,s264,s1092,s110,s1198,s1181,s1183,s1182]) ).

cnf(s1207,plain,
    ( spl4_88
    | spl4_64
    | spl4_39
    | spl4_74
    | spl4_10 ),
    inference(rat,[],[s25,s31,s67,s113,s89,s1198,s1182]) ).

cnf(s1208,plain,
    ( ~ spl4_13
    | spl4_65
    | spl4_10 ),
    inference(rat,[],[s25,s30,s69,s112,s97,s356,s360,s1207,s272,s1206,s54,s127,s303,s325,s585,s710,s1205,s483,s576,s696,s1198,s1185]) ).

cnf(s1209,plain,
    ( spl4_44
    | ~ spl4_17
    | spl4_65 ),
    inference(rat,[],[s76,s628,s1044,s115,s1084,s69,s244,s175,s856,s62,s1090,s25,s53,s270,s29,s110,s639,s283,s266,s1183,s1180,s1198,s1182]) ).

cnf(s1210,plain,
    ( spl4_73
    | ~ spl4_51
    | spl4_76
    | spl4_67
    | spl4_10 ),
    inference(rat,[],[s34,s25,s56,s117,s70,s188,s360,s96,s89,s250,s1185,s1198,s1186,s1182]) ).

cnf(s1211,plain,
    ( ~ spl4_73
    | spl4_82
    | spl4_22 ),
    inference(rat,[],[s18,s1083,s345,s108,s607,s1085,s677,s1186]) ).

cnf(s1212,plain,
    ( ~ spl4_31
    | spl4_90
    | ~ spl4_19
    | spl4_76
    | spl4_81 ),
    inference(rat,[],[s1192,s120,s77,s256,s580,s1183]) ).

cnf(s1213,plain,
    ( ~ spl4_85
    | spl4_22
    | spl4_65
    | spl4_10 ),
    inference(rat,[],[s25,s37,s51,s369,s1084,s72,s100,s1212,s856,s1090,s400,s1210,s96,s112,s1211,s973,s588,s689,s1172,s1096,s426,s600,s266,s534,s272,s1209,s1086,s1208,s1198,s1184,s1186]) ).

cnf(s1214,plain,
    ( spl4_22
    | spl4_65
    | spl4_10 ),
    inference(rat,[],[s101,s210,s366,s1088,s1172,s1043,s636,s93,s115,s1213,s639,s1000,s645,s1209,s1086,s1208,s1184]) ).

cnf(s1215,plain,
    ( spl4_66
    | spl4_19
    | spl4_60
    | spl4_67
    | spl4_64
    | spl4_48
    | spl4_50
    | spl4_65 ),
    inference(rat,[],[s1121,s77,s223,s234,s600,s97,s115,s1183,s1185]) ).

cnf(s1216,plain,
    ( spl4_65
    | spl4_10 ),
    inference(rat,[],[s27,s25,s90,s1155,s153,s512,s1088,s69,s636,s1215,s127,s165,s303,s325,s1214,s130,s272,s1209,s266,s525,s639,s1086,s1208,s1184,s1198,s1187]) ).

cnf(s1217,plain,
    ( spl4_19
    | spl4_22
    | spl4_10 ),
    inference(rat,[],[s103,s288,s544,s1211,s67,s296,s89,s25,s1095,s360,s33,s396,s97,s1085,s864,s349,s168,s283,s1086,s577,s57,s1216,s1182,s1198,s1185]) ).

cnf(s1218,plain,
    ( spl4_22
    | spl4_10 ),
    inference(rat,[],[s92,s227,s304,s90,s534,s107,s27,s29,s752,s25,s1088,s70,s188,s870,s1217,s57,s330,s324,s266,s259,s1086,s577,s1216,s1187,s1198,s1184]) ).

cnf(s1219,plain,
    spl4_10,
    inference(rat,[],[s52,s1106,s109,s186,s27,s743,s365,s99,s90,s107,s667,s752,s14,s1088,s476,s512,s89,s360,s514,s97,s114,s127,s165,s325,s710,s1218,s259,s266,s959,s1086,s168,s330,s349,s577,s1216,s1186,s1181,s1187,s1184,s1182,s1185]) ).

cnf(s1220,plain,
    ~ spl4_70,
    inference(rat,[],[s897,s1219]) ).

cnf(s1221,plain,
    ~ spl4_88,
    inference(rat,[],[s381,s1219]) ).

cnf(s1222,plain,
    ~ spl4_66,
    inference(rat,[],[s380,s1219]) ).

cnf(s1223,plain,
    ~ spl4_73,
    inference(rat,[],[s230,s1219]) ).

cnf(s1224,plain,
    ~ spl4_17,
    inference(rat,[],[s224,s1219]) ).

cnf(s1225,plain,
    ~ spl4_13,
    inference(rat,[],[s126,s1219]) ).

cnf(s1226,plain,
    spl4_76,
    inference(rat,[],[s1088,s1184,s1220]) ).

cnf(s1227,plain,
    spl4_91,
    inference(rat,[],[s1089,s1181,s1221]) ).

cnf(s1228,plain,
    ~ spl4_19,
    inference(rat,[],[s870,s1226]) ).

cnf(s1229,plain,
    ~ spl4_69,
    inference(rat,[],[s210,s1226]) ).

cnf(s1231,plain,
    ~ spl4_57,
    inference(rat,[],[s153,s1226]) ).

cnf(s1233,plain,
    ~ spl4_75,
    inference(rat,[],[s234,s1227]) ).

cnf(s1236,plain,
    ( spl4_68
    | spl4_86
    | spl4_65 ),
    inference(rat,[],[s1195,s119,s86,s1219,s1220,s1225]) ).

cnf(s1238,plain,
    ( ~ spl4_68
    | spl4_50 ),
    inference(rat,[],[s26,s25,s73,s82,s60,s200,s855,s1183,s1198,s1226,s1224,s1229]) ).

cnf(s1239,plain,
    ( spl4_65
    | spl4_50 ),
    inference(rat,[],[s364,s1236,s115,s1238,s1222]) ).

cnf(s1240,plain,
    spl4_22,
    inference(rat,[],[s285,s79,s112,s225,s236,s62,s66,s25,s33,s57,s330,s349,s1239,s258,s711,s1085,s1187,s1223,s1180,s1219,s1198,s1228]) ).

cnf(s1241,plain,
    ~ spl4_49,
    inference(rat,[],[s710,s1240]) ).

cnf(s1243,plain,
    ~ spl4_60,
    inference(rat,[],[s303,s1240]) ).

cnf(s1244,plain,
    ~ spl4_26,
    inference(rat,[],[s165,s1240]) ).

cnf(s1247,plain,
    spl4_65,
    inference(rat,[],[s351,s77,s66,s311,s25,s1129,s32,s191,s56,s1239,s1090,s1183,s1243,s1219,s1198,s1225,s1241,s1244,s1233]) ).

cnf(s1249,plain,
    ~ spl4_51,
    inference(rat,[],[s349,s1247]) ).

cnf(s1252,plain,
    ~ spl4_50,
    inference(rat,[],[s149,s1247]) ).

cnf(s1253,plain,
    spl4_79,
    inference(rat,[],[s114,s1241,s1185,s1249]) ).

cnf(s1254,plain,
    ~ spl4_80,
    inference(rat,[],[s514,s1253]) ).

cnf(s1255,plain,
    ~ spl4_78,
    inference(rat,[],[s284,s1253]) ).

cnf(s1256,plain,
    spl4_44,
    inference(rat,[],[s3,s909,s992,s110,s76,s1180,s1182,s1255,s1241,s1183]) ).

cnf(s1257,plain,
    ~ spl4_54,
    inference(rat,[],[s1000,s1256]) ).

cnf(s1258,plain,
    ~ spl4_64,
    inference(rat,[],[s272,s1256]) ).

cnf(s1261,plain,
    spl4_56,
    inference(rat,[],[s118,s1254,s1184,s1257]) ).

cnf(s1262,plain,
    ~ spl4_40,
    inference(rat,[],[s66,s1219,s1258]) ).

cnf(s1264,plain,
    ~ spl4_39,
    inference(rat,[],[s59,s1231,s1261]) ).

cnf(s1265,plain,
    spl4_37,
    inference(rat,[],[s25,s1198,s1262,s1264]) ).

cnf(s1266,plain,
    $false,
    inference(rat,[],[s1167,s1183,s1252,s1224,s1257,s1265]) ).

fof(f3520,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1266]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n005.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 19:35:32 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/1.16  % (1073914)Detected formulas, will run a generic FOF schedule.
% 3.67/1.16  % (1073923)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1306003548:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.67/1.16  % (1073923)Refutation not found, incomplete strategy
% 3.67/1.16  % (1073923)------------------------------
% 3.67/1.16  % (1073923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.16  % (1073923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.16  % (1073923)CaDiCaL version: 2.1.3
% 3.67/1.16  % (1073923)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.16  % (1073923)Time elapsed: 0.0000 s
% 3.67/1.16  % (1073923)Peak memory usage: 86 MB
% 3.67/1.16  % (1073924)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2229748196:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.67/1.16  % (1073919)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2844713209:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.67/1.16  % (1073920)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2536472394:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.67/1.16  % (1073922)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3706418790:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.67/1.16  % (1073921)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1602335000:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.67/1.16  % (1073922)Refutation not found, incomplete strategy
% 3.67/1.16  % (1073922)------------------------------
% 3.67/1.16  % (1073922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.16  % (1073922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.16  % (1073922)CaDiCaL version: 2.1.3
% 3.67/1.16  % (1073922)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.16  % (1073922)Time elapsed: 0.001 s
% 3.67/1.16  % (1073922)Peak memory usage: 86 MB
% 3.67/1.16  % (1073925)dis-21_1_sil=8000:lcm=predicate:random_seed=2528818646:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.67/1.16  % (1073925)Refutation not found, incomplete strategy
% 3.67/1.16  % (1073925)------------------------------
% 3.67/1.16  % (1073925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.16  % (1073925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.16  % (1073925)CaDiCaL version: 2.1.3
% 3.67/1.16  % (1073925)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.16  % (1073925)Time elapsed: 0.008 s
% 3.67/1.16  % (1073925)Peak memory usage: 88 MB
% 3.67/1.16  % (1073925)Instructions burned: 15 (million)
% 3.67/1.16  % (1073924)First to succeed.
% 3.67/1.16  % (1073924)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1073914"
% 3.67/1.16  % (1073923)------------------------------
% 3.67/1.16  % (1073923)------------------------------
% 3.67/1.16  % (1073922)------------------------------
% 3.67/1.16  % (1073922)------------------------------
% 3.67/1.16  % (1073933)lrs+10_1_sil=8000:sp=occurrence:random_seed=1441812951:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.67/1.16  % (1073933)Refutation not found, incomplete strategy
% 3.67/1.16  % (1073933)------------------------------
% 3.67/1.16  % (1073933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.16  % (1073933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.16  % (1073933)CaDiCaL version: 2.1.3
% 3.67/1.16  % (1073933)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.16  % (1073933)Time elapsed: 0.0000 s
% 3.67/1.16  % (1073933)Peak memory usage: 86 MB
% 3.67/1.16  % (1073925)------------------------------
% 3.67/1.16  % (1073925)------------------------------
% 3.67/1.16  % (1073924)Refutation found. Thanks to Tanya!
% 3.67/1.16  % SZS status Unsatisfiable for theBenchmark
% 3.67/1.16  % SZS output start Proof for theBenchmark
% See solution above
% 4.18/1.36  % (1073924)------------------------------
% 4.18/1.36  % (1073924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.36  % (1073924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.36  % (1073924)CaDiCaL version: 2.1.3
% 4.18/1.36  % (1073924)Termination reason: Refutation
% 4.18/1.36  % (1073924)Time elapsed: 0.091 s
% 4.18/1.36  % (1073924)Peak memory usage: 90 MB
% 4.18/1.36  % (1073924)Instructions burned: 170 (million)
% 4.18/1.36  % (1073924)------------------------------
% 4.18/1.36  % (1073924)------------------------------
% 4.18/1.36  % (1073914)Success in time 0.506 s
% 4.18/1.36  % Vampire exiting
%------------------------------------------------------------------------------