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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG148+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 09:25:42 AM UTC 2026

% Result   : Unsatisfiable 0.35s 0.29s
% Output   : Refutation 0.35s
% 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax3) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f58,definition,
    ( ( op(e2,e3) = e3
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f59,definition,
    ( ( op(e2,e2) = e2
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP5 ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f60,definition,
    ( ( op(e2,e1) = e1
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP6 ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f61,definition,
    ( ( op(e2,e0) = e0
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP7 ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f62,definition,
    ( ( op(e1,e3) = e3
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP8 ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f63,definition,
    ( ( op(e1,e2) = e2
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP9 ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f64,definition,
    ( ( op(e1,e1) = e1
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP10 ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f65,definition,
    ( ( op(e1,e0) = e0
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP11 ),
    introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).

fof(f66,definition,
    ( ( op(e0,e3) = e3
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) != e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) != e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) != e3 ) )
    | ~ sP12 ),
    introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).

fof(f67,definition,
    ( ( op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) != e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) != e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) != e3 ) )
    | ~ sP13 ),
    introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).

fof(f68,definition,
    ( ( op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) != e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) != e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) != e3 ) )
    | ~ sP14 ),
    introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).

fof(f69,plain,
    ( ( ( op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e1,e1) != e0
          | op(e1,e0) != e1 )
        & ( op(e2,e2) != e0
          | op(e2,e0) != e2 )
        & ( op(e3,e3) != e0
          | op(e3,e0) != e3 ) )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2
      | op(e3,e3) = e3 )
    & ( op(e0,e0) != e0
      | op(e0,e0) = e0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) = e0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) = e1 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1 )
    & ( op(e1,e1) != e2
      | op(e1,e2) = e1 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1 )
    & ( op(e2,e2) != e0
      | op(e2,e0) = e2 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2 )
    & ( op(e3,e3) != e0
      | op(e3,e0) = e3 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3 )
    & ( op(e3,e3) != e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3 ) ),
    inference(definition_folding,[],[f5,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).

fof(f70,plain,
    ( ( op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) != e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) != e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) != e3 ) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f71,plain,
    ( ( op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) != e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) != e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) != e3 ) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f72,plain,
    ( ( op(e0,e3) = e3
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) != e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) != e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) != e3 ) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f73,plain,
    ( ( op(e1,e0) = e0
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f74,plain,
    ( ( op(e1,e1) = e1
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f75,plain,
    ( ( op(e1,e2) = e2
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f76,plain,
    ( ( op(e1,e3) = e3
      & ( op(e0,e0) != e1
        | op(e0,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) != e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) != e3 ) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f77,plain,
    ( ( op(e2,e0) = e0
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f78,plain,
    ( ( op(e2,e1) = e1
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f79,plain,
    ( ( op(e2,e2) = e2
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f80,plain,
    ( ( op(e2,e3) = e3
      & ( op(e0,e0) != e2
        | op(e0,e2) != e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) != e3 ) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f81,plain,
    ( ( op(e3,e0) = e0
      & ( op(e0,e0) != e3
        | op(e0,e3) != e0 )
      & ( op(e1,e1) != e3
        | op(e1,e3) != e1 )
      & ( op(e2,e2) != e3
        | op(e2,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f82,plain,
    ( ( op(e3,e1) = e1
      & ( op(e0,e0) != e3
        | op(e0,e3) != e0 )
      & ( op(e1,e1) != e3
        | op(e1,e3) != e1 )
      & ( op(e2,e2) != e3
        | op(e2,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f83,plain,
    ( ( op(e3,e2) = e2
      & ( op(e0,e0) != e3
        | op(e0,e3) != e0 )
      & ( op(e1,e1) != e3
        | op(e1,e3) != e1 )
      & ( op(e2,e2) != e3
        | op(e2,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f84,plain,
    ( ( op(e3,e3) = e3
      & ( op(e0,e0) != e3
        | op(e0,e3) != e0 )
      & ( op(e1,e1) != e3
        | op(e1,e3) != e1 )
      & ( op(e2,e2) != e3
        | op(e2,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f85,plain,
    ( e0 = op(e3,e3)
    | e1 = op(e3,e3)
    | e2 = op(e3,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f88,plain,
    ( e0 = op(e3,e0)
    | e1 = op(e3,e0)
    | e2 = op(e3,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f90,plain,
    ( e0 = op(e2,e2)
    | e1 = op(e2,e2)
    | e2 = op(e2,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f92,plain,
    ( e0 = op(e2,e0)
    | e1 = op(e2,e0)
    | e2 = op(e2,e0)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f93,plain,
    ( e0 = op(e1,e3)
    | e1 = op(e1,e3)
    | e2 = op(e1,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f94,plain,
    ( e0 = op(e1,e2)
    | e1 = op(e1,e2)
    | e2 = op(e1,e2)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f95,plain,
    ( e0 = op(e1,e1)
    | e1 = op(e1,e1)
    | e2 = op(e1,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f96,plain,
    ( e0 = op(e1,e0)
    | e1 = op(e1,e0)
    | e2 = op(e1,e0)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f97,plain,
    ( e0 = op(e0,e3)
    | e1 = op(e0,e3)
    | e2 = op(e0,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f98,plain,
    ( e0 = op(e0,e2)
    | e1 = op(e0,e2)
    | e2 = op(e0,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f100,plain,
    ( e0 = op(e0,e0)
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f1]) ).

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

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

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

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

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

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

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

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

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

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

fof(f111,plain,
    ( e2 = op(e0,e2)
    | e2 = op(e1,e2)
    | e2 = op(e2,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f112,plain,
    ( e2 = op(e2,e0)
    | e2 = op(e2,e1)
    | e2 = op(e2,e2)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f113,plain,
    ( e1 = op(e0,e2)
    | e1 = op(e1,e2)
    | e1 = op(e2,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f114,plain,
    ( e1 = op(e2,e0)
    | e1 = op(e2,e1)
    | e1 = op(e2,e2)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f115,plain,
    ( e0 = op(e0,e2)
    | e0 = op(e1,e2)
    | e0 = op(e2,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f116,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e2,e1)
    | e0 = op(e2,e2)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f117,plain,
    ( e3 = op(e0,e1)
    | e3 = op(e1,e1)
    | e3 = op(e2,e1)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f118,plain,
    ( e3 = op(e1,e0)
    | e3 = op(e1,e1)
    | e3 = op(e1,e2)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f119,plain,
    ( e2 = op(e0,e1)
    | e2 = op(e1,e1)
    | e2 = op(e2,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f120,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e1,e1)
    | e2 = op(e1,e2)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f121,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e1,e1)
    | e1 = op(e2,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f122,plain,
    ( e1 = op(e1,e0)
    | e1 = op(e1,e1)
    | e1 = op(e1,e2)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f123,plain,
    ( e0 = op(e0,e1)
    | e0 = op(e1,e1)
    | e0 = op(e2,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f124,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e1,e1)
    | e0 = op(e1,e2)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f125,plain,
    ( op(e0,e0) = e3
    | e3 = op(e1,e0)
    | e3 = op(e2,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f126,plain,
    ( op(e0,e0) = e3
    | e3 = op(e0,e1)
    | e3 = op(e0,e2)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f127,plain,
    ( op(e0,e0) = e2
    | e2 = op(e1,e0)
    | e2 = op(e2,e0)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f128,plain,
    ( op(e0,e0) = e2
    | e2 = op(e0,e1)
    | e2 = op(e0,e2)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f129,plain,
    ( op(e0,e0) = e1
    | e1 = op(e1,e0)
    | e1 = op(e2,e0)
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f130,plain,
    ( op(e0,e0) = e1
    | e1 = op(e0,e1)
    | e1 = op(e0,e2)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f131,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e1,e0)
    | e0 = op(e2,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f133,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f134,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f135,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f136,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f137,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f138,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f140,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f141,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f142,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f143,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f144,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f145,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f146,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f148,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f149,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f151,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f152,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f153,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

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

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

fof(f156,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f157,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f158,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f159,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f160,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f161,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f162,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f163,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f164,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f165,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f166,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f167,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f168,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f170,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f173,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f175,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f176,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f177,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f180,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f181,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f182,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f183,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f184,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f185,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f186,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f187,plain,
    ( e0 != op(e3,e3)
    | e3 != op(e3,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f188,plain,
    ( e0 != op(e2,e2)
    | e2 != op(e2,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f189,plain,
    ( e0 != op(e1,e1)
    | e1 != op(e1,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f190,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f191,plain,
    ( e1 = op(e0,e1)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f192,plain,
    ( e0 != op(e3,e3)
    | e3 != op(e3,e0)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f193,plain,
    ( e0 != op(e2,e2)
    | e2 != op(e2,e0)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f194,plain,
    ( e0 != op(e1,e1)
    | e1 != op(e1,e0)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f195,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f196,plain,
    ( e2 = op(e0,e2)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f197,plain,
    ( e0 != op(e3,e3)
    | e3 != op(e3,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f198,plain,
    ( e0 != op(e2,e2)
    | e2 != op(e2,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f199,plain,
    ( e0 != op(e1,e1)
    | e1 != op(e1,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f200,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f201,plain,
    ( e3 = op(e0,e3)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f203,plain,
    ( e1 != op(e2,e2)
    | e2 != op(e2,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f204,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f205,plain,
    ( op(e0,e0) != e1
    | e0 != op(e0,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f206,plain,
    ( e0 = op(e1,e0)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f208,plain,
    ( e1 != op(e2,e2)
    | e2 != op(e2,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f209,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f210,plain,
    ( op(e0,e0) != e1
    | e0 != op(e0,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f211,plain,
    ( e1 = op(e1,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f212,plain,
    ( e1 != op(e3,e3)
    | e3 != op(e3,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f213,plain,
    ( e1 != op(e2,e2)
    | e2 != op(e2,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f214,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f215,plain,
    ( op(e0,e0) != e1
    | e0 != op(e0,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f216,plain,
    ( e2 = op(e1,e2)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f217,plain,
    ( e1 != op(e3,e3)
    | e3 != op(e3,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f218,plain,
    ( e1 != op(e2,e2)
    | e2 != op(e2,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f219,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f220,plain,
    ( op(e0,e0) != e1
    | e0 != op(e0,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f221,plain,
    ( e3 = op(e1,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f222,plain,
    ( e2 != op(e3,e3)
    | e3 != op(e3,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f223,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f224,plain,
    ( e2 != op(e1,e1)
    | e1 != op(e1,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f225,plain,
    ( op(e0,e0) != e2
    | e0 != op(e0,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f226,plain,
    ( e0 = op(e2,e0)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f227,plain,
    ( e2 != op(e3,e3)
    | e3 != op(e3,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f228,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f229,plain,
    ( e2 != op(e1,e1)
    | e1 != op(e1,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f230,plain,
    ( op(e0,e0) != e2
    | e0 != op(e0,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f231,plain,
    ( e1 = op(e2,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f232,plain,
    ( e2 != op(e3,e3)
    | e3 != op(e3,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f233,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f234,plain,
    ( e2 != op(e1,e1)
    | e1 != op(e1,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f235,plain,
    ( op(e0,e0) != e2
    | e0 != op(e0,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f236,plain,
    ( e2 = op(e2,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f237,plain,
    ( e2 != op(e3,e3)
    | e3 != op(e3,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f238,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f239,plain,
    ( e2 != op(e1,e1)
    | e1 != op(e1,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f240,plain,
    ( op(e0,e0) != e2
    | e0 != op(e0,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f241,plain,
    ( e3 = op(e2,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f242,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f243,plain,
    ( e3 != op(e2,e2)
    | e2 != op(e2,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f244,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f245,plain,
    ( op(e0,e0) != e3
    | e0 != op(e0,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f246,plain,
    ( e0 = op(e3,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f247,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f248,plain,
    ( e3 != op(e2,e2)
    | e2 != op(e2,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f249,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f250,plain,
    ( op(e0,e0) != e3
    | e0 != op(e0,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f251,plain,
    ( e1 = op(e3,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f252,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f253,plain,
    ( e3 != op(e2,e2)
    | e2 != op(e2,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f254,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f255,plain,
    ( op(e0,e0) != e3
    | e0 != op(e0,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f256,plain,
    ( e2 = op(e3,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f257,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f258,plain,
    ( e3 != op(e2,e2)
    | e2 != op(e2,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f259,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f260,plain,
    ( op(e0,e0) != e3
    | e0 != op(e0,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f261,plain,
    ( e3 = op(e3,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f263,plain,
    ( e2 != op(e3,e3)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f264,plain,
    ( e1 != op(e3,e3)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f265,plain,
    ( e0 != op(e3,e3)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f266,plain,
    ( e3 != op(e2,e2)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f268,plain,
    ( e1 != op(e2,e2)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f269,plain,
    ( e0 != op(e2,e2)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f270,plain,
    ( e3 != op(e1,e1)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f271,plain,
    ( e2 != op(e1,e1)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f273,plain,
    ( e0 != op(e1,e1)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f274,plain,
    ( op(e0,e0) != e3
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f275,plain,
    ( op(e0,e0) != e2
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f276,plain,
    ( op(e0,e0) != e1
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f278,plain,
    ( e0 = op(e0,e0)
    | e1 = op(e1,e1)
    | e2 = op(e2,e2)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f279,plain,
    ( e0 != op(e3,e3)
    | e3 != op(e3,e0)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f280,plain,
    ( e0 != op(e2,e2)
    | e2 != op(e2,e0)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f281,plain,
    ( e0 != op(e1,e1)
    | e1 != op(e1,e0)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f282,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f283,plain,
    ( e0 = op(e0,e0)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f285,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f287,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f289,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f291,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f293,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f295,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f297,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f299,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f301,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f303,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f304,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f305,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f306,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f307,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f308,plain,
    ( e1 = op(e0,e1)
    | sP14 ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f309,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | sP14 ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f310,plain,
    ( e0 != op(e1,e1)
    | e1 != op(e1,e0)
    | sP14 ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f311,plain,
    ( e0 != op(e2,e2)
    | e2 != op(e2,e0)
    | sP14 ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f312,plain,
    ( e0 != op(e3,e3)
    | e3 != op(e3,e0)
    | sP14 ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f313,plain,
    ( e0 = op(e1,e0)
    | sP11 ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f314,plain,
    ( op(e0,e0) != e1
    | e0 != op(e0,e1)
    | sP11 ),
    inference(consistent_polarity_flipping,[],[f205]) ).

fof(f315,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | sP11 ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f316,plain,
    ( e1 != op(e2,e2)
    | e2 != op(e2,e1)
    | sP11 ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f318,plain,
    ( e2 = op(e1,e2)
    | sP9 ),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f319,plain,
    ( op(e0,e0) != e1
    | e0 != op(e0,e1)
    | sP9 ),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f320,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | sP9 ),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f321,plain,
    ( e1 != op(e2,e2)
    | e2 != op(e2,e1)
    | sP9 ),
    inference(consistent_polarity_flipping,[],[f213]) ).

fof(f322,plain,
    ( e1 != op(e3,e3)
    | e3 != op(e3,e1)
    | sP9 ),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f323,plain,
    ( e3 = op(e1,e3)
    | sP8 ),
    inference(consistent_polarity_flipping,[],[f221]) ).

fof(f324,plain,
    ( op(e0,e0) != e1
    | e0 != op(e0,e1)
    | sP8 ),
    inference(consistent_polarity_flipping,[],[f220]) ).

fof(f325,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | sP8 ),
    inference(consistent_polarity_flipping,[],[f219]) ).

fof(f326,plain,
    ( e1 != op(e2,e2)
    | e2 != op(e2,e1)
    | sP8 ),
    inference(consistent_polarity_flipping,[],[f218]) ).

fof(f327,plain,
    ( e1 != op(e3,e3)
    | e3 != op(e3,e1)
    | sP8 ),
    inference(consistent_polarity_flipping,[],[f217]) ).

fof(f328,plain,
    ( e1 = op(e2,e1)
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f329,plain,
    ( op(e0,e0) != e2
    | e0 != op(e0,e2)
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f230]) ).

fof(f330,plain,
    ( e2 != op(e1,e1)
    | e1 != op(e1,e2)
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f229]) ).

fof(f331,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f332,plain,
    ( e2 != op(e3,e3)
    | e3 != op(e3,e2)
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f227]) ).

fof(f333,plain,
    ( e2 = op(e2,e2)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f236]) ).

fof(f334,plain,
    ( op(e0,e0) != e2
    | e0 != op(e0,e2)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f235]) ).

fof(f335,plain,
    ( e2 != op(e1,e1)
    | e1 != op(e1,e2)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f234]) ).

fof(f336,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f233]) ).

fof(f337,plain,
    ( e2 != op(e3,e3)
    | e3 != op(e3,e2)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f232]) ).

fof(f338,plain,
    ( e0 = op(e3,e0)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f246]) ).

fof(f339,plain,
    ( op(e0,e0) != e3
    | e0 != op(e0,e3)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f245]) ).

fof(f340,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f244]) ).

fof(f341,plain,
    ( e3 != op(e2,e2)
    | e2 != op(e2,e3)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f243]) ).

fof(f342,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f242]) ).

fof(f343,plain,
    ( e1 = op(e3,e1)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f251]) ).

fof(f344,plain,
    ( op(e0,e0) != e3
    | e0 != op(e0,e3)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f250]) ).

fof(f345,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f249]) ).

fof(f346,plain,
    ( e3 != op(e2,e2)
    | e2 != op(e2,e3)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f248]) ).

fof(f347,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f247]) ).

fof(f348,plain,
    ( e0 = op(e0,e0)
    | ~ sP14
    | sP13
    | sP12
    | ~ sP11
    | sP10
    | ~ sP9
    | ~ sP8
    | sP7
    | ~ sP6
    | ~ sP5
    | sP4
    | ~ sP3
    | ~ sP2
    | sP1
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f283]) ).

fof(f349,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP14
    | sP13
    | sP12
    | ~ sP11
    | sP10
    | ~ sP9
    | ~ sP8
    | sP7
    | ~ sP6
    | ~ sP5
    | sP4
    | ~ sP3
    | ~ sP2
    | sP1
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f282]) ).

fof(f350,plain,
    ( e0 != op(e1,e1)
    | e1 != op(e1,e0)
    | ~ sP14
    | sP13
    | sP12
    | ~ sP11
    | sP10
    | ~ sP9
    | ~ sP8
    | sP7
    | ~ sP6
    | ~ sP5
    | sP4
    | ~ sP3
    | ~ sP2
    | sP1
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f281]) ).

fof(f351,plain,
    ( e0 != op(e2,e2)
    | e2 != op(e2,e0)
    | ~ sP14
    | sP13
    | sP12
    | ~ sP11
    | sP10
    | ~ sP9
    | ~ sP8
    | sP7
    | ~ sP6
    | ~ sP5
    | sP4
    | ~ sP3
    | ~ sP2
    | sP1
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f280]) ).

fof(f352,plain,
    ( e0 != op(e3,e3)
    | e3 != op(e3,e0)
    | ~ sP14
    | sP13
    | sP12
    | ~ sP11
    | sP10
    | ~ sP9
    | ~ sP8
    | sP7
    | ~ sP6
    | ~ sP5
    | sP4
    | ~ sP3
    | ~ sP2
    | sP1
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f279]) ).

fof(f353,plain,
    ( e0 != op(e0,e0)
    | ~ sP14
    | sP13
    | sP12
    | ~ sP11
    | sP10
    | ~ sP9
    | ~ sP8
    | sP7
    | ~ sP6
    | ~ sP5
    | sP4
    | ~ sP3
    | ~ sP2
    | sP1
    | sP0 ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f354,plain,
    ( e3 != op(e3,e3)
    | ~ sP0 ),
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f355,plain,
    ( e3 != op(e3,e3)
    | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f252]) ).

fof(f356,plain,
    ( e3 != op(e3,e3)
    | sP2 ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f357,plain,
    ( e3 != op(e3,e3)
    | sP3 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f358,plain,
    ( e2 != op(e2,e2)
    | ~ sP4 ),
    inference(duplicate_literal_removal,[],[f238]) ).

fof(f359,plain,
    ( e2 != op(e2,e2)
    | sP5 ),
    inference(duplicate_literal_removal,[],[f336]) ).

fof(f360,plain,
    ( e2 != op(e2,e2)
    | sP6 ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f361,plain,
    ( e2 != op(e2,e2)
    | ~ sP7 ),
    inference(duplicate_literal_removal,[],[f223]) ).

fof(f362,plain,
    ( e1 != op(e1,e1)
    | sP8 ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f363,plain,
    ( e1 != op(e1,e1)
    | sP9 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f364,plain,
    ( e1 != op(e1,e1)
    | ~ sP10 ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f365,plain,
    ( e1 != op(e1,e1)
    | sP11 ),
    inference(duplicate_literal_removal,[],[f315]) ).

fof(f366,plain,
    ( e0 != op(e0,e0)
    | ~ sP12 ),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f367,plain,
    ( e0 != op(e0,e0)
    | ~ sP13 ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f368,plain,
    ( e0 != op(e0,e0)
    | sP14 ),
    inference(duplicate_literal_removal,[],[f309]) ).

fof(f370,definition,
    ( spl15_1
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).

fof(f371,plain,
    ( e1 = op(op(e0,e0),e0)
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f372,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl15_1 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f374,definition,
    ( spl15_2
  <=> e2 = op(op(op(e0,e0),e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).

fof(f376,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | spl15_2 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f378,definition,
    ( spl15_3
  <=> op(e0,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).

fof(f379,plain,
    ( op(e0,e0) = e3
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f307,f378,f374,f370]) ).

fof(f383,definition,
    ( spl15_4
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).

fof(f384,plain,
    ( e0 = op(op(e1,e1),e1)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f385,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl15_4 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f387,definition,
    ( spl15_5
  <=> e2 = op(op(op(e1,e1),e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).

fof(f389,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | spl15_5 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f391,definition,
    ( spl15_6
  <=> e3 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).

fof(f392,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f394,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f306,f391,f387,f383]) ).

fof(f396,definition,
    ( spl15_7
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).

fof(f397,plain,
    ( e2 = op(op(e0,e0),e0)
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f398,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl15_7 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f400,definition,
    ( spl15_8
  <=> e1 = op(op(op(e0,e0),e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).

fof(f401,plain,
    ( e1 = op(op(op(e0,e0),e0),e0)
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | spl15_8 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f403,plain,
    ( ~ spl15_7
    | ~ spl15_8
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f305,f378,f400,f396]) ).

fof(f405,definition,
    ( spl15_9
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).

fof(f406,plain,
    ( e0 = op(op(e2,e2),e2)
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f407,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl15_9 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f409,definition,
    ( spl15_10
  <=> e1 = op(op(op(e2,e2),e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).

fof(f410,plain,
    ( e1 = op(op(op(e2,e2),e2),e2)
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | spl15_10 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f413,definition,
    ( spl15_11
  <=> e3 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).

fof(f414,plain,
    ( e3 = op(e2,e2)
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,plain,
    ( ~ spl15_9
    | ~ spl15_10
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f304,f413,f409,f405]) ).

fof(f418,definition,
    ( spl15_12
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).

fof(f419,plain,
    ( e2 = op(op(e1,e1),e1)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl15_12 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f422,definition,
    ( spl15_13
  <=> e0 = op(op(op(e1,e1),e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).

fof(f424,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | spl15_13 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f425,plain,
    ( ~ spl15_12
    | ~ spl15_13
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f303,f391,f422,f418]) ).

fof(f427,definition,
    ( spl15_14
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).

fof(f428,plain,
    ( e1 = op(op(e2,e2),e2)
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f429,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl15_14 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f431,definition,
    ( spl15_15
  <=> e0 = op(op(op(e2,e2),e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).

fof(f433,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | spl15_15 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f436,definition,
    ( spl15_16
  <=> e3 = op(op(op(e0,e0),e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).

fof(f438,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | spl15_16 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f440,definition,
    ( spl15_17
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).

fof(f441,plain,
    ( op(e0,e0) = e2
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f443,plain,
    ( ~ spl15_1
    | ~ spl15_16
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f301,f440,f436,f370]) ).

fof(f445,definition,
    ( spl15_18
  <=> e3 = op(op(op(e1,e1),e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_18])],[avatar_definition]) ).

fof(f447,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | spl15_18 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f449,definition,
    ( spl15_19
  <=> e2 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_19])],[avatar_definition]) ).

fof(f450,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f454,definition,
    ( spl15_20
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_20])],[avatar_definition]) ).

fof(f455,plain,
    ( e3 = op(op(e0,e0),e0)
    | ~ spl15_20 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl15_20 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f457,plain,
    ( ~ spl15_20
    | ~ spl15_8
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f299,f440,f400,f454]) ).

fof(f467,definition,
    ( spl15_23
  <=> e2 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_23])],[avatar_definition]) ).

fof(f468,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( e2 != op(e3,e3)
    | spl15_23 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f472,definition,
    ( spl15_24
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_24])],[avatar_definition]) ).

fof(f473,plain,
    ( e3 = op(op(e1,e1),e1)
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl15_24 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f475,plain,
    ( ~ spl15_24
    | ~ spl15_13
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f297,f449,f422,f472]) ).

fof(f477,definition,
    ( spl15_25
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl15_25])],[avatar_definition]) ).

fof(f478,plain,
    ( e1 = op(op(e3,e3),e3)
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f479,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl15_25 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f486,definition,
    ( spl15_27
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[spl15_27])],[avatar_definition]) ).

fof(f487,plain,
    ( op(e0,e0) = e1
    | ~ spl15_27 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f489,plain,
    ( ~ spl15_7
    | ~ spl15_16
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f295,f486,f436,f396]) ).

fof(f495,definition,
    ( spl15_29
  <=> e1 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_29])],[avatar_definition]) ).

fof(f496,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_29 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( e1 != op(e2,e2)
    | spl15_29 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f499,plain,
    ( ~ spl15_20
    | ~ spl15_2
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f293,f486,f374,f454]) ).

fof(f505,definition,
    ( spl15_31
  <=> e1 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_31])],[avatar_definition]) ).

fof(f506,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_31 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f510,definition,
    ( spl15_32
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_32])],[avatar_definition]) ).

fof(f511,plain,
    ( e3 = op(op(e2,e2),e2)
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( e3 != op(op(e2,e2),e2)
    | spl15_32 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f513,plain,
    ( ~ spl15_32
    | ~ spl15_15
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f291,f495,f431,f510]) ).

fof(f520,definition,
    ( spl15_34
  <=> e0 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_34])],[avatar_definition]) ).

fof(f521,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f523,plain,
    ( ~ spl15_12
    | ~ spl15_18
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f289,f520,f445,f418]) ).

fof(f525,definition,
    ( spl15_35
  <=> e0 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_35])],[avatar_definition]) ).

fof(f526,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_35 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f529,plain,
    ( ~ spl15_24
    | ~ spl15_5
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f287,f520,f387,f472]) ).

fof(f531,definition,
    ( spl15_36
  <=> e0 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_36])],[avatar_definition]) ).

fof(f532,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f535,plain,
    ( ~ spl15_32
    | ~ spl15_10
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f285,f525,f409,f510]) ).

fof(f538,definition,
    ( spl15_37
  <=> e3 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_37])],[avatar_definition]) ).

fof(f539,plain,
    ( e3 != op(e3,e2)
    | spl15_37 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_37 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f541,plain,
    ( spl15_37
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f263,f467,f538]) ).

fof(f543,definition,
    ( spl15_38
  <=> e3 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_38])],[avatar_definition]) ).

fof(f545,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_38 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f546,plain,
    ( spl15_38
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f264,f505,f543]) ).

fof(f548,definition,
    ( spl15_39
  <=> e3 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_39])],[avatar_definition]) ).

fof(f550,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_39 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f551,plain,
    ( spl15_39
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f265,f531,f548]) ).

fof(f553,definition,
    ( spl15_40
  <=> e2 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_40])],[avatar_definition]) ).

fof(f554,plain,
    ( e2 != op(e2,e3)
    | spl15_40 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_40 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f556,plain,
    ( spl15_40
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f266,f413,f553]) ).

fof(f558,definition,
    ( spl15_41
  <=> e2 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_41])],[avatar_definition]) ).

fof(f560,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_41 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f561,plain,
    ( spl15_41
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f268,f495,f558]) ).

fof(f563,definition,
    ( spl15_42
  <=> e2 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_42])],[avatar_definition]) ).

fof(f564,plain,
    ( e2 != op(e2,e0)
    | spl15_42 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_42 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f566,plain,
    ( spl15_42
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f269,f525,f563]) ).

fof(f568,definition,
    ( spl15_43
  <=> e1 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_43])],[avatar_definition]) ).

fof(f569,plain,
    ( e1 != op(e1,e3)
    | spl15_43 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_43 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f571,plain,
    ( spl15_43
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f270,f391,f568]) ).

fof(f573,definition,
    ( spl15_44
  <=> e1 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_44])],[avatar_definition]) ).

fof(f575,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_44 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f576,plain,
    ( spl15_44
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f271,f449,f573]) ).

fof(f578,definition,
    ( spl15_45
  <=> e1 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_45])],[avatar_definition]) ).

fof(f579,plain,
    ( e1 != op(e1,e0)
    | spl15_45 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f580,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_45 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( spl15_45
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f273,f520,f578]) ).

fof(f583,definition,
    ( spl15_46
  <=> e0 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_46])],[avatar_definition]) ).

fof(f585,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_46 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f586,plain,
    ( spl15_46
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f274,f378,f583]) ).

fof(f588,definition,
    ( spl15_47
  <=> e0 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_47])],[avatar_definition]) ).

fof(f589,plain,
    ( e0 != op(e0,e2)
    | spl15_47 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f590,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_47 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( spl15_47
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f275,f440,f588]) ).

fof(f593,definition,
    ( spl15_48
  <=> e0 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_48])],[avatar_definition]) ).

fof(f595,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_48 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f596,plain,
    ( spl15_48
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f276,f486,f593]) ).

fof(f598,definition,
    ( spl15_49
  <=> e3 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_49])],[avatar_definition]) ).

fof(f600,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_49 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f602,definition,
    ( spl15_50
  <=> e2 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_50])],[avatar_definition]) ).

fof(f604,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_50 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f606,definition,
    ( spl15_51
  <=> e1 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_51])],[avatar_definition]) ).

fof(f608,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_51 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f610,definition,
    ( spl15_52
  <=> e0 = op(e0,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_52])],[avatar_definition]) ).

fof(f612,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_52 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( spl15_49
    | spl15_50
    | spl15_51
    | spl15_52 ),
    inference(avatar_split_clause,[],[f278,f610,f606,f602,f598]) ).

fof(f615,definition,
    ( spl15_53
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl15_53])],[avatar_definition]) ).

fof(f619,definition,
    ( spl15_54
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl15_54])],[avatar_definition]) ).

fof(f623,definition,
    ( spl15_55
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl15_55])],[avatar_definition]) ).

fof(f627,definition,
    ( spl15_56
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl15_56])],[avatar_definition]) ).

fof(f631,definition,
    ( spl15_57
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl15_57])],[avatar_definition]) ).

fof(f635,definition,
    ( spl15_58
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl15_58])],[avatar_definition]) ).

fof(f639,definition,
    ( spl15_59
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl15_59])],[avatar_definition]) ).

fof(f643,definition,
    ( spl15_60
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl15_60])],[avatar_definition]) ).

fof(f647,definition,
    ( spl15_61
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl15_61])],[avatar_definition]) ).

fof(f651,definition,
    ( spl15_62
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl15_62])],[avatar_definition]) ).

fof(f655,definition,
    ( spl15_63
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl15_63])],[avatar_definition]) ).

fof(f659,definition,
    ( spl15_64
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl15_64])],[avatar_definition]) ).

fof(f663,definition,
    ( spl15_65
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl15_65])],[avatar_definition]) ).

fof(f667,definition,
    ( spl15_66
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl15_66])],[avatar_definition]) ).

fof(f671,definition,
    ( spl15_67
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl15_67])],[avatar_definition]) ).

fof(f674,plain,
    ( spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67
    | ~ spl15_39
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f352,f531,f548,f671,f667,f663,f659,f655,f651,f647,f643,f639,f635,f631,f627,f623,f619,f615]) ).

fof(f675,plain,
    ( spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67
    | ~ spl15_42
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f351,f525,f563,f671,f667,f663,f659,f655,f651,f647,f643,f639,f635,f631,f627,f623,f619,f615]) ).

fof(f676,plain,
    ( spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67
    | ~ spl15_45
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f350,f520,f578,f671,f667,f663,f659,f655,f651,f647,f643,f639,f635,f631,f627,f623,f619,f615]) ).

fof(f677,plain,
    ( spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f353,f610,f671,f667,f663,f659,f655,f651,f647,f643,f639,f635,f631,f627,f623,f619,f615]) ).

fof(f678,plain,
    ( spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67
    | spl15_52 ),
    inference(avatar_split_clause,[],[f348,f610,f671,f667,f663,f659,f655,f651,f647,f643,f639,f635,f631,f627,f623,f619,f615]) ).

fof(f679,plain,
    ( ~ spl15_53
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f354,f598,f615]) ).

fof(f680,plain,
    ( ~ spl15_53
    | ~ spl15_40
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f258,f413,f553,f615]) ).

fof(f681,plain,
    ( ~ spl15_53
    | ~ spl15_43
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f259,f391,f568,f615]) ).

fof(f682,plain,
    ( ~ spl15_53
    | ~ spl15_46
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f260,f378,f583,f615]) ).

fof(f683,plain,
    ( ~ spl15_53
    | spl15_49 ),
    inference(avatar_split_clause,[],[f261,f598,f615]) ).

fof(f684,plain,
    ( ~ spl15_54
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f355,f598,f619]) ).

fof(f685,plain,
    ( ~ spl15_54
    | ~ spl15_40
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f253,f413,f553,f619]) ).

fof(f686,plain,
    ( ~ spl15_54
    | ~ spl15_43
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f254,f391,f568,f619]) ).

fof(f687,plain,
    ( ~ spl15_54
    | ~ spl15_46
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f255,f378,f583,f619]) ).

fof(f689,definition,
    ( spl15_68
  <=> e2 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_68])],[avatar_definition]) ).

fof(f691,plain,
    ( e2 = op(e3,e2)
    | ~ spl15_68 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( ~ spl15_54
    | spl15_68 ),
    inference(avatar_split_clause,[],[f256,f689,f619]) ).

fof(f693,plain,
    ( spl15_55
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f356,f598,f623]) ).

fof(f694,plain,
    ( spl15_55
    | ~ spl15_40
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f346,f413,f553,f623]) ).

fof(f695,plain,
    ( spl15_55
    | ~ spl15_43
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f345,f391,f568,f623]) ).

fof(f696,plain,
    ( spl15_55
    | ~ spl15_46
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f344,f378,f583,f623]) ).

fof(f698,definition,
    ( spl15_69
  <=> e1 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_69])],[avatar_definition]) ).

fof(f699,plain,
    ( e1 != op(e3,e1)
    | spl15_69 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f700,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f701,plain,
    ( spl15_55
    | spl15_69 ),
    inference(avatar_split_clause,[],[f343,f698,f623]) ).

fof(f702,plain,
    ( spl15_56
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f357,f598,f627]) ).

fof(f703,plain,
    ( spl15_56
    | ~ spl15_40
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f341,f413,f553,f627]) ).

fof(f704,plain,
    ( spl15_56
    | ~ spl15_43
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f340,f391,f568,f627]) ).

fof(f705,plain,
    ( spl15_56
    | ~ spl15_46
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f339,f378,f583,f627]) ).

fof(f707,definition,
    ( spl15_70
  <=> e0 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_70])],[avatar_definition]) ).

fof(f708,plain,
    ( e0 != op(e3,e0)
    | spl15_70 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( e0 = op(e3,e0)
    | ~ spl15_70 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( spl15_56
    | spl15_70 ),
    inference(avatar_split_clause,[],[f338,f707,f627]) ).

fof(f711,plain,
    ( ~ spl15_57
    | ~ spl15_37
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f237,f467,f538,f631]) ).

fof(f712,plain,
    ( ~ spl15_57
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f358,f602,f631]) ).

fof(f713,plain,
    ( ~ spl15_57
    | ~ spl15_44
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f239,f449,f573,f631]) ).

fof(f714,plain,
    ( ~ spl15_57
    | ~ spl15_47
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f240,f440,f588,f631]) ).

fof(f716,definition,
    ( spl15_71
  <=> e3 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_71])],[avatar_definition]) ).

fof(f718,plain,
    ( e3 = op(e2,e3)
    | ~ spl15_71 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( ~ spl15_57
    | spl15_71 ),
    inference(avatar_split_clause,[],[f241,f716,f631]) ).

fof(f720,plain,
    ( spl15_58
    | ~ spl15_37
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f337,f467,f538,f635]) ).

fof(f721,plain,
    ( spl15_58
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f359,f602,f635]) ).

fof(f722,plain,
    ( spl15_58
    | ~ spl15_44
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f335,f449,f573,f635]) ).

fof(f723,plain,
    ( spl15_58
    | ~ spl15_47
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f334,f440,f588,f635]) ).

fof(f724,plain,
    ( spl15_58
    | spl15_50 ),
    inference(avatar_split_clause,[],[f333,f602,f635]) ).

fof(f725,plain,
    ( spl15_59
    | ~ spl15_37
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f332,f467,f538,f639]) ).

fof(f726,plain,
    ( spl15_59
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f360,f602,f639]) ).

fof(f727,plain,
    ( spl15_59
    | ~ spl15_44
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f330,f449,f573,f639]) ).

fof(f728,plain,
    ( spl15_59
    | ~ spl15_47
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f329,f440,f588,f639]) ).

fof(f730,definition,
    ( spl15_72
  <=> e1 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_72])],[avatar_definition]) ).

fof(f732,plain,
    ( e1 = op(e2,e1)
    | ~ spl15_72 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f733,plain,
    ( spl15_59
    | spl15_72 ),
    inference(avatar_split_clause,[],[f328,f730,f639]) ).

fof(f734,plain,
    ( ~ spl15_60
    | ~ spl15_37
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f222,f467,f538,f643]) ).

fof(f735,plain,
    ( ~ spl15_60
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f361,f602,f643]) ).

fof(f736,plain,
    ( ~ spl15_60
    | ~ spl15_44
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f224,f449,f573,f643]) ).

fof(f737,plain,
    ( ~ spl15_60
    | ~ spl15_47
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f225,f440,f588,f643]) ).

fof(f739,definition,
    ( spl15_73
  <=> e0 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_73])],[avatar_definition]) ).

fof(f741,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_73 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f742,plain,
    ( ~ spl15_60
    | spl15_73 ),
    inference(avatar_split_clause,[],[f226,f739,f643]) ).

fof(f743,plain,
    ( spl15_61
    | ~ spl15_38
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f327,f505,f543,f647]) ).

fof(f744,plain,
    ( spl15_61
    | ~ spl15_41
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f326,f495,f558,f647]) ).

fof(f745,plain,
    ( spl15_61
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f362,f606,f647]) ).

fof(f746,plain,
    ( spl15_61
    | ~ spl15_48
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f324,f486,f593,f647]) ).

fof(f748,definition,
    ( spl15_74
  <=> e3 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_74])],[avatar_definition]) ).

fof(f750,plain,
    ( e3 = op(e1,e3)
    | ~ spl15_74 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( spl15_61
    | spl15_74 ),
    inference(avatar_split_clause,[],[f323,f748,f647]) ).

fof(f752,plain,
    ( spl15_62
    | ~ spl15_38
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f322,f505,f543,f651]) ).

fof(f753,plain,
    ( spl15_62
    | ~ spl15_41
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f321,f495,f558,f651]) ).

fof(f754,plain,
    ( spl15_62
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f363,f606,f651]) ).

fof(f755,plain,
    ( spl15_62
    | ~ spl15_48
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f319,f486,f593,f651]) ).

fof(f757,definition,
    ( spl15_75
  <=> e2 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_75])],[avatar_definition]) ).

fof(f758,plain,
    ( e2 != op(e1,e2)
    | spl15_75 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f759,plain,
    ( e2 = op(e1,e2)
    | ~ spl15_75 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f760,plain,
    ( spl15_62
    | spl15_75 ),
    inference(avatar_split_clause,[],[f318,f757,f651]) ).

fof(f762,plain,
    ( ~ spl15_63
    | ~ spl15_41
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f208,f495,f558,f655]) ).

fof(f763,plain,
    ( ~ spl15_63
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f364,f606,f655]) ).

fof(f764,plain,
    ( ~ spl15_63
    | ~ spl15_48
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f210,f486,f593,f655]) ).

fof(f765,plain,
    ( ~ spl15_63
    | spl15_51 ),
    inference(avatar_split_clause,[],[f211,f606,f655]) ).

fof(f767,plain,
    ( spl15_64
    | ~ spl15_41
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f316,f495,f558,f659]) ).

fof(f768,plain,
    ( spl15_64
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f365,f606,f659]) ).

fof(f769,plain,
    ( spl15_64
    | ~ spl15_48
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f314,f486,f593,f659]) ).

fof(f771,definition,
    ( spl15_76
  <=> e0 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_76])],[avatar_definition]) ).

fof(f772,plain,
    ( e0 != op(e1,e0)
    | spl15_76 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f773,plain,
    ( e0 = op(e1,e0)
    | ~ spl15_76 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f774,plain,
    ( spl15_64
    | spl15_76 ),
    inference(avatar_split_clause,[],[f313,f771,f659]) ).

fof(f775,plain,
    ( ~ spl15_65
    | ~ spl15_39
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f197,f531,f548,f663]) ).

fof(f776,plain,
    ( ~ spl15_65
    | ~ spl15_42
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f198,f525,f563,f663]) ).

fof(f777,plain,
    ( ~ spl15_65
    | ~ spl15_45
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f199,f520,f578,f663]) ).

fof(f778,plain,
    ( ~ spl15_65
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f366,f610,f663]) ).

fof(f780,definition,
    ( spl15_77
  <=> e3 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_77])],[avatar_definition]) ).

fof(f782,plain,
    ( e3 = op(e0,e3)
    | ~ spl15_77 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl15_65
    | spl15_77 ),
    inference(avatar_split_clause,[],[f201,f780,f663]) ).

fof(f784,plain,
    ( ~ spl15_66
    | ~ spl15_39
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f192,f531,f548,f667]) ).

fof(f785,plain,
    ( ~ spl15_66
    | ~ spl15_42
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f193,f525,f563,f667]) ).

fof(f786,plain,
    ( ~ spl15_66
    | ~ spl15_45
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f194,f520,f578,f667]) ).

fof(f787,plain,
    ( ~ spl15_66
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f367,f610,f667]) ).

fof(f789,definition,
    ( spl15_78
  <=> e2 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_78])],[avatar_definition]) ).

fof(f791,plain,
    ( e2 = op(e0,e2)
    | ~ spl15_78 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f792,plain,
    ( ~ spl15_66
    | spl15_78 ),
    inference(avatar_split_clause,[],[f196,f789,f667]) ).

fof(f793,plain,
    ( spl15_67
    | ~ spl15_39
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f312,f531,f548,f671]) ).

fof(f794,plain,
    ( spl15_67
    | ~ spl15_42
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f311,f525,f563,f671]) ).

fof(f795,plain,
    ( spl15_67
    | ~ spl15_45
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f310,f520,f578,f671]) ).

fof(f796,plain,
    ( spl15_67
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f368,f610,f671]) ).

fof(f798,definition,
    ( spl15_79
  <=> e1 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_79])],[avatar_definition]) ).

fof(f800,plain,
    ( e1 = op(e0,e1)
    | ~ spl15_79 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( spl15_67
    | spl15_79 ),
    inference(avatar_split_clause,[],[f308,f798,f671]) ).

fof(f802,plain,
    ( spl15_49
    | spl15_71
    | spl15_74
    | spl15_77 ),
    inference(avatar_split_clause,[],[f101,f780,f748,f716,f598]) ).

fof(f803,plain,
    ( spl15_49
    | spl15_37
    | spl15_38
    | spl15_39 ),
    inference(avatar_split_clause,[],[f102,f548,f543,f538,f598]) ).

fof(f805,definition,
    ( spl15_80
  <=> e2 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_80])],[avatar_definition]) ).

fof(f807,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_80 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f809,definition,
    ( spl15_81
  <=> e2 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_81])],[avatar_definition]) ).

fof(f811,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_81 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f812,plain,
    ( spl15_23
    | spl15_40
    | spl15_80
    | spl15_81 ),
    inference(avatar_split_clause,[],[f103,f809,f805,f553,f467]) ).

fof(f814,definition,
    ( spl15_82
  <=> e2 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_82])],[avatar_definition]) ).

fof(f816,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_82 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f818,definition,
    ( spl15_83
  <=> e2 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_83])],[avatar_definition]) ).

fof(f819,plain,
    ( e2 != op(e3,e0)
    | spl15_83 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f820,plain,
    ( e2 = op(e3,e0)
    | ~ spl15_83 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( spl15_23
    | spl15_68
    | spl15_82
    | spl15_83 ),
    inference(avatar_split_clause,[],[f104,f818,f814,f689,f467]) ).

fof(f823,definition,
    ( spl15_84
  <=> e1 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_84])],[avatar_definition]) ).

fof(f825,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_84 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f827,definition,
    ( spl15_85
  <=> e1 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_85])],[avatar_definition]) ).

fof(f828,plain,
    ( e1 != op(e0,e3)
    | spl15_85 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f829,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_85 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( spl15_31
    | spl15_84
    | spl15_43
    | spl15_85 ),
    inference(avatar_split_clause,[],[f105,f827,f568,f823,f505]) ).

fof(f832,definition,
    ( spl15_86
  <=> e1 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_86])],[avatar_definition]) ).

fof(f833,plain,
    ( e1 != op(e3,e2)
    | spl15_86 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f834,plain,
    ( e1 = op(e3,e2)
    | ~ spl15_86 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f836,definition,
    ( spl15_87
  <=> e1 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_87])],[avatar_definition]) ).

fof(f837,plain,
    ( e1 != op(e3,e0)
    | spl15_87 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f838,plain,
    ( e1 = op(e3,e0)
    | ~ spl15_87 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl15_31
    | spl15_86
    | spl15_69
    | spl15_87 ),
    inference(avatar_split_clause,[],[f106,f836,f698,f832,f505]) ).

fof(f841,definition,
    ( spl15_88
  <=> e0 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_88])],[avatar_definition]) ).

fof(f842,plain,
    ( e0 != op(e2,e3)
    | spl15_88 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f843,plain,
    ( e0 = op(e2,e3)
    | ~ spl15_88 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f845,definition,
    ( spl15_89
  <=> e0 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_89])],[avatar_definition]) ).

fof(f847,plain,
    ( e0 = op(e1,e3)
    | ~ spl15_89 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f848,plain,
    ( spl15_36
    | spl15_88
    | spl15_89
    | spl15_46 ),
    inference(avatar_split_clause,[],[f107,f583,f845,f841,f531]) ).

fof(f850,definition,
    ( spl15_90
  <=> e0 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_90])],[avatar_definition]) ).

fof(f851,plain,
    ( e0 != op(e3,e2)
    | spl15_90 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f852,plain,
    ( e0 = op(e3,e2)
    | ~ spl15_90 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f854,definition,
    ( spl15_91
  <=> e0 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_91])],[avatar_definition]) ).

fof(f855,plain,
    ( e0 != op(e3,e1)
    | spl15_91 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f856,plain,
    ( e0 = op(e3,e1)
    | ~ spl15_91 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( spl15_36
    | spl15_90
    | spl15_91
    | spl15_70 ),
    inference(avatar_split_clause,[],[f108,f707,f854,f850,f531]) ).

fof(f859,definition,
    ( spl15_92
  <=> e3 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_92])],[avatar_definition]) ).

fof(f860,plain,
    ( e3 != op(e1,e2)
    | spl15_92 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f861,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_92 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f863,definition,
    ( spl15_93
  <=> e3 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_93])],[avatar_definition]) ).

fof(f865,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_93 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f866,plain,
    ( spl15_37
    | spl15_11
    | spl15_92
    | spl15_93 ),
    inference(avatar_split_clause,[],[f109,f863,f859,f413,f538]) ).

fof(f868,definition,
    ( spl15_94
  <=> e3 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_94])],[avatar_definition]) ).

fof(f870,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_94 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f872,definition,
    ( spl15_95
  <=> e3 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_95])],[avatar_definition]) ).

fof(f874,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_95 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f875,plain,
    ( spl15_71
    | spl15_11
    | spl15_94
    | spl15_95 ),
    inference(avatar_split_clause,[],[f110,f872,f868,f413,f716]) ).

fof(f876,plain,
    ( spl15_68
    | spl15_50
    | spl15_75
    | spl15_78 ),
    inference(avatar_split_clause,[],[f111,f789,f757,f602,f689]) ).

fof(f877,plain,
    ( spl15_40
    | spl15_50
    | spl15_41
    | spl15_42 ),
    inference(avatar_split_clause,[],[f112,f563,f558,f602,f553]) ).

fof(f879,definition,
    ( spl15_96
  <=> e1 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_96])],[avatar_definition]) ).

fof(f881,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_96 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( spl15_86
    | spl15_29
    | spl15_44
    | spl15_96 ),
    inference(avatar_split_clause,[],[f113,f879,f573,f495,f832]) ).

fof(f884,definition,
    ( spl15_97
  <=> e1 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_97])],[avatar_definition]) ).

fof(f886,plain,
    ( e1 = op(e2,e0)
    | ~ spl15_97 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f887,plain,
    ( spl15_84
    | spl15_29
    | spl15_72
    | spl15_97 ),
    inference(avatar_split_clause,[],[f114,f884,f730,f495,f823]) ).

fof(f889,definition,
    ( spl15_98
  <=> e0 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_98])],[avatar_definition]) ).

fof(f891,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_98 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f892,plain,
    ( spl15_90
    | spl15_35
    | spl15_98
    | spl15_47 ),
    inference(avatar_split_clause,[],[f115,f588,f889,f525,f850]) ).

fof(f894,definition,
    ( spl15_99
  <=> e0 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_99])],[avatar_definition]) ).

fof(f895,plain,
    ( e0 != op(e2,e1)
    | spl15_99 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f896,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_99 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f897,plain,
    ( spl15_88
    | spl15_35
    | spl15_99
    | spl15_73 ),
    inference(avatar_split_clause,[],[f116,f739,f894,f525,f841]) ).

fof(f899,definition,
    ( spl15_100
  <=> e3 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_100])],[avatar_definition]) ).

fof(f901,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f902,plain,
    ( spl15_38
    | spl15_94
    | spl15_6
    | spl15_100 ),
    inference(avatar_split_clause,[],[f117,f899,f391,f868,f543]) ).

fof(f904,definition,
    ( spl15_101
  <=> e3 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_101])],[avatar_definition]) ).

fof(f906,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_101 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f907,plain,
    ( spl15_74
    | spl15_92
    | spl15_6
    | spl15_101 ),
    inference(avatar_split_clause,[],[f118,f904,f391,f859,f748]) ).

fof(f909,definition,
    ( spl15_102
  <=> e2 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_102])],[avatar_definition]) ).

fof(f911,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_102 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f912,plain,
    ( spl15_82
    | spl15_41
    | spl15_19
    | spl15_102 ),
    inference(avatar_split_clause,[],[f119,f909,f449,f558,f814]) ).

fof(f914,definition,
    ( spl15_103
  <=> e2 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_103])],[avatar_definition]) ).

fof(f916,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_103 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f917,plain,
    ( spl15_80
    | spl15_75
    | spl15_19
    | spl15_103 ),
    inference(avatar_split_clause,[],[f120,f914,f449,f757,f805]) ).

fof(f918,plain,
    ( spl15_69
    | spl15_72
    | spl15_51
    | spl15_79 ),
    inference(avatar_split_clause,[],[f121,f798,f606,f730,f698]) ).

fof(f919,plain,
    ( spl15_43
    | spl15_44
    | spl15_51
    | spl15_45 ),
    inference(avatar_split_clause,[],[f122,f578,f606,f573,f568]) ).

fof(f920,plain,
    ( spl15_91
    | spl15_99
    | spl15_34
    | spl15_48 ),
    inference(avatar_split_clause,[],[f123,f593,f520,f894,f854]) ).

fof(f921,plain,
    ( spl15_89
    | spl15_98
    | spl15_34
    | spl15_76 ),
    inference(avatar_split_clause,[],[f124,f771,f520,f889,f845]) ).

fof(f922,plain,
    ( spl15_39
    | spl15_95
    | spl15_101
    | spl15_3 ),
    inference(avatar_split_clause,[],[f125,f378,f904,f872,f548]) ).

fof(f923,plain,
    ( spl15_77
    | spl15_93
    | spl15_100
    | spl15_3 ),
    inference(avatar_split_clause,[],[f126,f378,f899,f863,f780]) ).

fof(f924,plain,
    ( spl15_83
    | spl15_42
    | spl15_103
    | spl15_17 ),
    inference(avatar_split_clause,[],[f127,f440,f914,f563,f818]) ).

fof(f925,plain,
    ( spl15_81
    | spl15_78
    | spl15_102
    | spl15_17 ),
    inference(avatar_split_clause,[],[f128,f440,f909,f789,f809]) ).

fof(f926,plain,
    ( spl15_87
    | spl15_97
    | spl15_45
    | spl15_27 ),
    inference(avatar_split_clause,[],[f129,f486,f578,f884,f836]) ).

fof(f927,plain,
    ( spl15_85
    | spl15_96
    | spl15_79
    | spl15_27 ),
    inference(avatar_split_clause,[],[f130,f486,f798,f879,f827]) ).

fof(f928,plain,
    ( spl15_70
    | spl15_73
    | spl15_76
    | spl15_52 ),
    inference(avatar_split_clause,[],[f131,f610,f771,f739,f707]) ).

fof(f930,plain,
    ( spl15_49
    | spl15_23
    | spl15_31
    | spl15_36 ),
    inference(avatar_split_clause,[],[f85,f531,f505,f467,f598]) ).

fof(f933,plain,
    ( spl15_39
    | spl15_83
    | spl15_87
    | spl15_70 ),
    inference(avatar_split_clause,[],[f88,f707,f836,f818,f548]) ).

fof(f935,plain,
    ( spl15_11
    | spl15_50
    | spl15_29
    | spl15_35 ),
    inference(avatar_split_clause,[],[f90,f525,f495,f602,f413]) ).

fof(f937,plain,
    ( spl15_95
    | spl15_42
    | spl15_97
    | spl15_73 ),
    inference(avatar_split_clause,[],[f92,f739,f884,f563,f872]) ).

fof(f938,plain,
    ( spl15_74
    | spl15_80
    | spl15_43
    | spl15_89 ),
    inference(avatar_split_clause,[],[f93,f845,f568,f805,f748]) ).

fof(f939,plain,
    ( spl15_92
    | spl15_75
    | spl15_44
    | spl15_98 ),
    inference(avatar_split_clause,[],[f94,f889,f573,f757,f859]) ).

fof(f940,plain,
    ( spl15_6
    | spl15_19
    | spl15_51
    | spl15_34 ),
    inference(avatar_split_clause,[],[f95,f520,f606,f449,f391]) ).

fof(f941,plain,
    ( spl15_101
    | spl15_103
    | spl15_45
    | spl15_76 ),
    inference(avatar_split_clause,[],[f96,f771,f578,f914,f904]) ).

fof(f942,plain,
    ( spl15_77
    | spl15_81
    | spl15_85
    | spl15_46 ),
    inference(avatar_split_clause,[],[f97,f583,f827,f809,f780]) ).

fof(f943,plain,
    ( spl15_93
    | spl15_78
    | spl15_96
    | spl15_47 ),
    inference(avatar_split_clause,[],[f98,f588,f879,f789,f863]) ).

fof(f945,plain,
    ( spl15_3
    | spl15_17
    | spl15_27
    | spl15_52 ),
    inference(avatar_split_clause,[],[f100,f610,f486,f440,f378]) ).

fof(f949,plain,
    ( e1 = e2
    | ~ spl15_17
    | ~ spl15_27 ),
    inference(superposition,[],[f441,f487]) ).

fof(f953,plain,
    ( e1 != e1
    | ~ spl15_17
    | ~ spl15_27 ),
    inference(superposition,[],[f183,f949]) ).

fof(f954,plain,
    ( $false
    | ~ spl15_17
    | ~ spl15_27 ),
    inference(trivial_inequality_removal,[],[f953]) ).

fof(f955,plain,
    ( ~ spl15_17
    | ~ spl15_27 ),
    inference(avatar_contradiction_clause,[],[f954]) ).

fof(f959,plain,
    ( e0 = e2
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(superposition,[],[f450,f521]) ).

fof(f963,plain,
    ( e0 != e0
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(superposition,[],[f185,f959]) ).

fof(f965,plain,
    ( $false
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(trivial_inequality_removal,[],[f963]) ).

fof(f966,plain,
    ( ~ spl15_19
    | ~ spl15_34 ),
    inference(avatar_contradiction_clause,[],[f965]) ).

fof(f977,plain,
    ( e2 = e3
    | ~ spl15_37
    | ~ spl15_68 ),
    inference(superposition,[],[f540,f691]) ).

fof(f978,plain,
    ( e2 != e2
    | ~ spl15_37
    | ~ spl15_68 ),
    inference(superposition,[],[f181,f977]) ).

fof(f988,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_37
    | spl15_43
    | ~ spl15_68 ),
    inference(superposition,[],[f569,f977]) ).

fof(f992,plain,
    ( $false
    | ~ spl15_37
    | ~ spl15_68 ),
    inference(trivial_inequality_removal,[],[f978]) ).

fof(f993,plain,
    ( ~ spl15_37
    | ~ spl15_68 ),
    inference(avatar_contradiction_clause,[],[f992]) ).

fof(f995,plain,
    ( ~ spl15_44
    | ~ spl15_37
    | spl15_43
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f988,f689,f568,f538,f573]) ).

fof(f1003,plain,
    ( e0 = e3
    | ~ spl15_39
    | ~ spl15_70 ),
    inference(superposition,[],[f550,f709]) ).

fof(f1006,plain,
    ( e0 != e0
    | ~ spl15_39
    | ~ spl15_70 ),
    inference(superposition,[],[f184,f1003]) ).

fof(f1010,plain,
    ( e0 != op(e0,e2)
    | spl15_37
    | ~ spl15_39
    | ~ spl15_70 ),
    inference(superposition,[],[f539,f1003]) ).

fof(f1019,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_39
    | ~ spl15_70 ),
    inference(superposition,[],[f709,f1003]) ).

fof(f1020,plain,
    ( $false
    | ~ spl15_39
    | ~ spl15_70 ),
    inference(trivial_inequality_removal,[],[f1006]) ).

fof(f1021,plain,
    ( ~ spl15_39
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1022,plain,
    ( spl15_52
    | ~ spl15_39
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1019,f707,f548,f610]) ).

fof(f1027,plain,
    ( ~ spl15_47
    | spl15_37
    | ~ spl15_39
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1010,f707,f548,f538,f588]) ).

fof(f1030,plain,
    ( e2 = e3
    | ~ spl15_40
    | ~ spl15_71 ),
    inference(superposition,[],[f555,f718]) ).

fof(f1031,plain,
    ( e2 != e2
    | ~ spl15_40
    | ~ spl15_71 ),
    inference(superposition,[],[f181,f1030]) ).

fof(f1048,plain,
    ( $false
    | ~ spl15_40
    | ~ spl15_71 ),
    inference(trivial_inequality_removal,[],[f1031]) ).

fof(f1049,plain,
    ( ~ spl15_40
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1064,plain,
    ( e0 = e3
    | ~ spl15_46
    | ~ spl15_77 ),
    inference(superposition,[],[f585,f782]) ).

fof(f1068,plain,
    ( e0 != e0
    | ~ spl15_46
    | ~ spl15_77 ),
    inference(superposition,[],[f184,f1064]) ).

fof(f1084,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_46
    | ~ spl15_77 ),
    inference(superposition,[],[f782,f1064]) ).

fof(f1085,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_77 ),
    inference(trivial_inequality_removal,[],[f1068]) ).

fof(f1086,plain,
    ( ~ spl15_46
    | ~ spl15_77 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1087,plain,
    ( spl15_52
    | ~ spl15_46
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1084,f780,f583,f610]) ).

fof(f1102,plain,
    ( e0 = e2
    | ~ spl15_70
    | ~ spl15_83 ),
    inference(superposition,[],[f709,f820]) ).

fof(f1104,plain,
    ( e0 != e0
    | ~ spl15_70
    | ~ spl15_83 ),
    inference(superposition,[],[f185,f1102]) ).

fof(f1121,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_83 ),
    inference(trivial_inequality_removal,[],[f1104]) ).

fof(f1122,plain,
    ( ~ spl15_70
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1121]) ).

fof(f1140,plain,
    ( e1 = e3
    | ~ spl15_44
    | ~ spl15_92 ),
    inference(superposition,[],[f575,f861]) ).

fof(f1142,plain,
    ( e1 != e1
    | ~ spl15_44
    | ~ spl15_92 ),
    inference(superposition,[],[f182,f1140]) ).

fof(f1172,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_92 ),
    inference(trivial_inequality_removal,[],[f1142]) ).

fof(f1173,plain,
    ( ~ spl15_44
    | ~ spl15_92 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

fof(f1194,plain,
    ( e0 = e3
    | ~ spl15_47
    | ~ spl15_93 ),
    inference(superposition,[],[f590,f865]) ).

fof(f1224,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_47
    | spl15_90
    | ~ spl15_93 ),
    inference(superposition,[],[f851,f1194]) ).

fof(f1229,plain,
    ( ~ spl15_47
    | ~ spl15_47
    | spl15_90
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f1224,f863,f850,f588,f588]) ).

fof(f1244,plain,
    ( e0 = e2
    | ~ spl15_35
    | ~ spl15_50 ),
    inference(superposition,[],[f604,f526]) ).

fof(f1248,plain,
    ( e0 != e0
    | ~ spl15_35
    | ~ spl15_50 ),
    inference(superposition,[],[f185,f1244]) ).

fof(f1256,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_35
    | ~ spl15_50 ),
    inference(superposition,[],[f604,f1244]) ).

fof(f1269,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_50 ),
    inference(trivial_inequality_removal,[],[f1248]) ).

fof(f1270,plain,
    ( ~ spl15_35
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1276,plain,
    ( spl15_52
    | ~ spl15_35
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f1256,f602,f525,f610]) ).

fof(f1280,plain,
    ( e0 = e2
    | ~ spl15_42
    | ~ spl15_73 ),
    inference(superposition,[],[f741,f565]) ).

fof(f1282,plain,
    ( e0 != e0
    | ~ spl15_42
    | ~ spl15_73 ),
    inference(superposition,[],[f185,f1280]) ).

fof(f1285,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_35
    | ~ spl15_42
    | ~ spl15_73 ),
    inference(superposition,[],[f526,f1280]) ).

fof(f1294,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_42
    | ~ spl15_73 ),
    inference(superposition,[],[f741,f1280]) ).

fof(f1303,plain,
    ( $false
    | ~ spl15_42
    | ~ spl15_73 ),
    inference(trivial_inequality_removal,[],[f1282]) ).

fof(f1304,plain,
    ( ~ spl15_42
    | ~ spl15_73 ),
    inference(avatar_contradiction_clause,[],[f1303]) ).

fof(f1308,plain,
    ( spl15_52
    | ~ spl15_42
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f1294,f739,f563,f610]) ).

fof(f1311,plain,
    ( spl15_52
    | ~ spl15_35
    | ~ spl15_42
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f1285,f739,f563,f525,f610]) ).

fof(f1317,plain,
    ( e0 = e1
    | ~ spl15_34
    | ~ spl15_51 ),
    inference(superposition,[],[f521,f608]) ).

fof(f1319,plain,
    ( e0 != e0
    | ~ spl15_34
    | ~ spl15_51 ),
    inference(superposition,[],[f186,f1317]) ).

fof(f1323,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_34
    | ~ spl15_38
    | ~ spl15_51 ),
    inference(superposition,[],[f545,f1317]) ).

fof(f1329,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_34
    | ~ spl15_51 ),
    inference(superposition,[],[f608,f1317]) ).

fof(f1341,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_51 ),
    inference(trivial_inequality_removal,[],[f1319]) ).

fof(f1342,plain,
    ( ~ spl15_34
    | ~ spl15_51 ),
    inference(avatar_contradiction_clause,[],[f1341]) ).

fof(f1349,plain,
    ( spl15_52
    | ~ spl15_34
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f1329,f606,f520,f610]) ).

fof(f1355,plain,
    ( spl15_39
    | ~ spl15_34
    | ~ spl15_38
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f1323,f606,f543,f520,f548]) ).

fof(f1361,plain,
    ( e2 = e3
    | ~ spl15_42
    | ~ spl15_95 ),
    inference(superposition,[],[f565,f874]) ).

fof(f1362,plain,
    ( e2 != e2
    | ~ spl15_42
    | ~ spl15_95 ),
    inference(superposition,[],[f181,f1361]) ).

fof(f1384,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_42
    | spl15_83
    | ~ spl15_95 ),
    inference(superposition,[],[f819,f1361]) ).

fof(f1393,plain,
    ( $false
    | ~ spl15_42
    | ~ spl15_95 ),
    inference(trivial_inequality_removal,[],[f1362]) ).

fof(f1394,plain,
    ( ~ spl15_42
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1393]) ).

fof(f1398,plain,
    ( ~ spl15_42
    | ~ spl15_42
    | spl15_83
    | ~ spl15_95 ),
    inference(avatar_split_clause,[],[f1384,f872,f818,f563,f563]) ).

fof(f1416,plain,
    ( e0 = e3
    | ~ spl15_73
    | ~ spl15_95 ),
    inference(superposition,[],[f874,f741]) ).

fof(f1419,plain,
    ( e0 != e0
    | ~ spl15_73
    | ~ spl15_95 ),
    inference(superposition,[],[f184,f1416]) ).

fof(f1448,plain,
    ( $false
    | ~ spl15_73
    | ~ spl15_95 ),
    inference(trivial_inequality_removal,[],[f1419]) ).

fof(f1449,plain,
    ( ~ spl15_73
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1448]) ).

fof(f1469,plain,
    ( e0 = e1
    | ~ spl15_44
    | ~ spl15_98 ),
    inference(superposition,[],[f575,f891]) ).

fof(f1470,plain,
    ( e0 != e0
    | ~ spl15_44
    | ~ spl15_98 ),
    inference(superposition,[],[f186,f1469]) ).

fof(f1494,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_98 ),
    inference(trivial_inequality_removal,[],[f1470]) ).

fof(f1495,plain,
    ( ~ spl15_44
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1494]) ).

fof(f1515,plain,
    ( e0 = e2
    | ~ spl15_68
    | ~ spl15_90 ),
    inference(superposition,[],[f691,f852]) ).

fof(f1517,plain,
    ( e0 != e0
    | ~ spl15_68
    | ~ spl15_90 ),
    inference(superposition,[],[f185,f1515]) ).

fof(f1544,plain,
    ( $false
    | ~ spl15_68
    | ~ spl15_90 ),
    inference(trivial_inequality_removal,[],[f1517]) ).

fof(f1545,plain,
    ( ~ spl15_68
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1558,plain,
    ( e1 = e3
    | ~ spl15_93
    | ~ spl15_96 ),
    inference(superposition,[],[f865,f881]) ).

fof(f1561,plain,
    ( e1 != e1
    | ~ spl15_93
    | ~ spl15_96 ),
    inference(superposition,[],[f182,f1558]) ).

fof(f1591,plain,
    ( $false
    | ~ spl15_93
    | ~ spl15_96 ),
    inference(trivial_inequality_removal,[],[f1561]) ).

fof(f1592,plain,
    ( ~ spl15_93
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f1591]) ).

fof(f1611,plain,
    ( e1 = e2
    | ~ spl15_29
    | ~ spl15_50 ),
    inference(superposition,[],[f604,f496]) ).

fof(f1614,plain,
    ( e1 != e1
    | ~ spl15_29
    | ~ spl15_50 ),
    inference(superposition,[],[f183,f1611]) ).

fof(f1640,plain,
    ( $false
    | ~ spl15_29
    | ~ spl15_50 ),
    inference(trivial_inequality_removal,[],[f1614]) ).

fof(f1641,plain,
    ( ~ spl15_29
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f1640]) ).

fof(f1657,plain,
    ( e1 = e2
    | ~ spl15_41
    | ~ spl15_72 ),
    inference(superposition,[],[f732,f560]) ).

fof(f1658,plain,
    ( e1 != e1
    | ~ spl15_41
    | ~ spl15_72 ),
    inference(superposition,[],[f183,f1657]) ).

fof(f1682,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_41
    | ~ spl15_72
    | ~ spl15_95 ),
    inference(superposition,[],[f874,f1657]) ).

fof(f1684,plain,
    ( $false
    | ~ spl15_41
    | ~ spl15_72 ),
    inference(trivial_inequality_removal,[],[f1658]) ).

fof(f1685,plain,
    ( ~ spl15_41
    | ~ spl15_72 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1687,plain,
    ( spl15_101
    | ~ spl15_41
    | ~ spl15_72
    | ~ spl15_95 ),
    inference(avatar_split_clause,[],[f1682,f872,f730,f558,f904]) ).

fof(f1702,plain,
    ( e1 = e2
    | ~ spl15_68
    | ~ spl15_86 ),
    inference(superposition,[],[f691,f834]) ).

fof(f1703,plain,
    ( e1 != e1
    | ~ spl15_68
    | ~ spl15_86 ),
    inference(superposition,[],[f183,f1702]) ).

fof(f1722,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_68
    | ~ spl15_86 ),
    inference(superposition,[],[f834,f1702]) ).

fof(f1730,plain,
    ( $false
    | ~ spl15_68
    | ~ spl15_86 ),
    inference(trivial_inequality_removal,[],[f1703]) ).

fof(f1731,plain,
    ( ~ spl15_68
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1735,plain,
    ( spl15_69
    | ~ spl15_68
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f1722,f832,f689,f698]) ).

fof(f1759,plain,
    ( e0 = e2
    | ~ spl15_41
    | ~ spl15_99 ),
    inference(superposition,[],[f560,f896]) ).

fof(f1762,plain,
    ( e0 != e0
    | ~ spl15_41
    | ~ spl15_99 ),
    inference(superposition,[],[f185,f1759]) ).

fof(f1791,plain,
    ( $false
    | ~ spl15_41
    | ~ spl15_99 ),
    inference(trivial_inequality_removal,[],[f1762]) ).

fof(f1792,plain,
    ( ~ spl15_41
    | ~ spl15_99 ),
    inference(avatar_contradiction_clause,[],[f1791]) ).

fof(f1804,plain,
    ( e0 = e2
    | ~ spl15_40
    | ~ spl15_88 ),
    inference(superposition,[],[f555,f843]) ).

fof(f1806,plain,
    ( e0 != e0
    | ~ spl15_40
    | ~ spl15_88 ),
    inference(superposition,[],[f185,f1804]) ).

fof(f1834,plain,
    ( $false
    | ~ spl15_40
    | ~ spl15_88 ),
    inference(trivial_inequality_removal,[],[f1806]) ).

fof(f1835,plain,
    ( ~ spl15_40
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f1834]) ).

fof(f1848,plain,
    ( e2 = e3
    | ~ spl15_41
    | ~ spl15_94 ),
    inference(superposition,[],[f560,f870]) ).

fof(f1849,plain,
    ( e2 != e2
    | ~ spl15_41
    | ~ spl15_94 ),
    inference(superposition,[],[f181,f1848]) ).

fof(f1880,plain,
    ( $false
    | ~ spl15_41
    | ~ spl15_94 ),
    inference(trivial_inequality_removal,[],[f1849]) ).

fof(f1881,plain,
    ( ~ spl15_41
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1897,plain,
    ( e2 = e3
    | ~ spl15_38
    | ~ spl15_82 ),
    inference(superposition,[],[f545,f816]) ).

fof(f1898,plain,
    ( e2 != e2
    | ~ spl15_38
    | ~ spl15_82 ),
    inference(superposition,[],[f181,f1897]) ).

fof(f1901,plain,
    ( e2 != op(e2,e2)
    | spl15_23
    | ~ spl15_38
    | ~ spl15_82 ),
    inference(superposition,[],[f469,f1897]) ).

fof(f1928,plain,
    ( $false
    | ~ spl15_38
    | ~ spl15_82 ),
    inference(trivial_inequality_removal,[],[f1898]) ).

fof(f1929,plain,
    ( ~ spl15_38
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1940,plain,
    ( ~ spl15_50
    | spl15_23
    | ~ spl15_38
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f1901,f814,f543,f467,f602]) ).

fof(f1944,plain,
    ( e1 = e2
    | ~ spl15_23
    | ~ spl15_31 ),
    inference(superposition,[],[f506,f468]) ).

fof(f1945,plain,
    ( e1 != e1
    | ~ spl15_23
    | ~ spl15_31 ),
    inference(superposition,[],[f183,f1944]) ).

fof(f1970,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_31 ),
    inference(trivial_inequality_removal,[],[f1945]) ).

fof(f1971,plain,
    ( ~ spl15_23
    | ~ spl15_31 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1988,plain,
    ( e1 = e3
    | ~ spl15_3
    | ~ spl15_27 ),
    inference(superposition,[],[f487,f379]) ).

fof(f1990,plain,
    ( e1 != e1
    | ~ spl15_3
    | ~ spl15_27 ),
    inference(superposition,[],[f182,f1988]) ).

fof(f2014,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_27 ),
    inference(trivial_inequality_removal,[],[f1990]) ).

fof(f2015,plain,
    ( ~ spl15_3
    | ~ spl15_27 ),
    inference(avatar_contradiction_clause,[],[f2014]) ).

fof(f2040,plain,
    ( e1 = e3
    | ~ spl15_72
    | ~ spl15_94 ),
    inference(superposition,[],[f870,f732]) ).

fof(f2042,plain,
    ( e1 != e1
    | ~ spl15_72
    | ~ spl15_94 ),
    inference(superposition,[],[f182,f2040]) ).

fof(f2065,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_72
    | spl15_87
    | ~ spl15_94 ),
    inference(superposition,[],[f837,f2040]) ).

fof(f2069,plain,
    ( $false
    | ~ spl15_72
    | ~ spl15_94 ),
    inference(trivial_inequality_removal,[],[f2042]) ).

fof(f2070,plain,
    ( ~ spl15_72
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2071,plain,
    ( ~ spl15_45
    | ~ spl15_72
    | spl15_87
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f2065,f868,f836,f730,f578]) ).

fof(f2087,plain,
    ( e0 = e1
    | ~ spl15_48
    | ~ spl15_79 ),
    inference(superposition,[],[f595,f800]) ).

fof(f2089,plain,
    ( e0 != e0
    | ~ spl15_48
    | ~ spl15_79 ),
    inference(superposition,[],[f186,f2087]) ).

fof(f2105,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_48
    | ~ spl15_79 ),
    inference(superposition,[],[f800,f2087]) ).

fof(f2110,plain,
    ( $false
    | ~ spl15_48
    | ~ spl15_79 ),
    inference(trivial_inequality_removal,[],[f2089]) ).

fof(f2111,plain,
    ( ~ spl15_48
    | ~ spl15_79 ),
    inference(avatar_contradiction_clause,[],[f2110]) ).

fof(f2113,plain,
    ( spl15_52
    | ~ spl15_48
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f2105,f798,f593,f610]) ).

fof(f2125,plain,
    ( e0 = e3
    | ~ spl15_74
    | ~ spl15_89 ),
    inference(superposition,[],[f750,f847]) ).

fof(f2129,plain,
    ( e0 != e0
    | ~ spl15_74
    | ~ spl15_89 ),
    inference(superposition,[],[f184,f2125]) ).

fof(f2156,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_74
    | ~ spl15_89
    | spl15_90 ),
    inference(superposition,[],[f851,f2125]) ).

fof(f2157,plain,
    ( $false
    | ~ spl15_74
    | ~ spl15_89 ),
    inference(trivial_inequality_removal,[],[f2129]) ).

fof(f2158,plain,
    ( ~ spl15_74
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2159,plain,
    ( ~ spl15_47
    | ~ spl15_74
    | ~ spl15_89
    | spl15_90 ),
    inference(avatar_split_clause,[],[f2156,f850,f845,f748,f588]) ).

fof(f2176,plain,
    ( e0 = e1
    | ~ spl15_45
    | ~ spl15_76 ),
    inference(superposition,[],[f580,f773]) ).

fof(f2177,plain,
    ( e0 != e0
    | ~ spl15_45
    | ~ spl15_76 ),
    inference(superposition,[],[f186,f2176]) ).

fof(f2187,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_45
    | ~ spl15_51
    | ~ spl15_76 ),
    inference(superposition,[],[f608,f2176]) ).

fof(f2192,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_45
    | ~ spl15_76 ),
    inference(superposition,[],[f773,f2176]) ).

fof(f2197,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_76 ),
    inference(trivial_inequality_removal,[],[f2177]) ).

fof(f2198,plain,
    ( ~ spl15_45
    | ~ spl15_76 ),
    inference(avatar_contradiction_clause,[],[f2197]) ).

fof(f2200,plain,
    ( spl15_52
    | ~ spl15_45
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f2192,f771,f578,f610]) ).

fof(f2203,plain,
    ( spl15_52
    | ~ spl15_45
    | ~ spl15_51
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f2187,f771,f606,f578,f610]) ).

fof(f2212,plain,
    ( e0 = e3
    | ~ spl15_38
    | ~ spl15_91 ),
    inference(superposition,[],[f545,f856]) ).

fof(f2215,plain,
    ( e0 != e0
    | ~ spl15_38
    | ~ spl15_91 ),
    inference(superposition,[],[f184,f2212]) ).

fof(f2224,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_38
    | ~ spl15_46
    | ~ spl15_91 ),
    inference(superposition,[],[f585,f2212]) ).

fof(f2244,plain,
    ( $false
    | ~ spl15_38
    | ~ spl15_91 ),
    inference(trivial_inequality_removal,[],[f2215]) ).

fof(f2245,plain,
    ( ~ spl15_38
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2244]) ).

fof(f2257,plain,
    ( spl15_52
    | ~ spl15_38
    | ~ spl15_46
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f2224,f854,f583,f543,f610]) ).

fof(f2271,plain,
    ( e0 = e1
    | ~ spl15_73
    | ~ spl15_97 ),
    inference(superposition,[],[f741,f886]) ).

fof(f2273,plain,
    ( e0 != e0
    | ~ spl15_73
    | ~ spl15_97 ),
    inference(superposition,[],[f186,f2271]) ).

fof(f2296,plain,
    ( $false
    | ~ spl15_73
    | ~ spl15_97 ),
    inference(trivial_inequality_removal,[],[f2273]) ).

fof(f2297,plain,
    ( ~ spl15_73
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f2296]) ).

fof(f2312,plain,
    ( e0 = e3
    | ~ spl15_48
    | ~ spl15_100 ),
    inference(superposition,[],[f595,f901]) ).

fof(f2315,plain,
    ( e0 != e0
    | ~ spl15_48
    | ~ spl15_100 ),
    inference(superposition,[],[f184,f2312]) ).

fof(f2337,plain,
    ( op(e0,e0) != e1
    | ~ spl15_48
    | spl15_85
    | ~ spl15_100 ),
    inference(superposition,[],[f828,f2312]) ).

fof(f2340,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_48
    | spl15_88
    | ~ spl15_100 ),
    inference(superposition,[],[f842,f2312]) ).

fof(f2343,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_48
    | spl15_91
    | ~ spl15_100 ),
    inference(superposition,[],[f855,f2312]) ).

fof(f2344,plain,
    ( $false
    | ~ spl15_48
    | ~ spl15_100 ),
    inference(trivial_inequality_removal,[],[f2315]) ).

fof(f2345,plain,
    ( ~ spl15_48
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f2344]) ).

fof(f2346,plain,
    ( ~ spl15_48
    | ~ spl15_48
    | spl15_91
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f2343,f899,f854,f593,f593]) ).

fof(f2349,plain,
    ( ~ spl15_73
    | ~ spl15_48
    | spl15_88
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f2340,f899,f841,f593,f739]) ).

fof(f2351,plain,
    ( ~ spl15_27
    | ~ spl15_48
    | spl15_85
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f2337,f899,f827,f593,f486]) ).

fof(f2369,plain,
    ( e0 = e3
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(superposition,[],[f773,f906]) ).

fof(f2372,plain,
    ( e0 != e0
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(superposition,[],[f184,f2369]) ).

fof(f2401,plain,
    ( $false
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(trivial_inequality_removal,[],[f2372]) ).

fof(f2402,plain,
    ( ~ spl15_76
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2421,plain,
    ( e0 = e2
    | ~ spl15_48
    | ~ spl15_102 ),
    inference(superposition,[],[f595,f911]) ).

fof(f2425,plain,
    ( op(e0,e0) != e1
    | spl15_29
    | ~ spl15_48
    | ~ spl15_102 ),
    inference(superposition,[],[f497,f2421]) ).

fof(f2451,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_48
    | spl15_99
    | ~ spl15_102 ),
    inference(superposition,[],[f895,f2421]) ).

fof(f2454,plain,
    ( ~ spl15_48
    | ~ spl15_48
    | spl15_99
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2451,f909,f894,f593,f593]) ).

fof(f2466,plain,
    ( ~ spl15_27
    | spl15_29
    | ~ spl15_48
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2425,f909,f593,f495,f486]) ).

fof(f2472,plain,
    ( e1 = e3
    | ~ spl15_45
    | ~ spl15_101 ),
    inference(superposition,[],[f906,f580]) ).

fof(f2474,plain,
    ( e1 != e1
    | ~ spl15_45
    | ~ spl15_101 ),
    inference(superposition,[],[f182,f2472]) ).

fof(f2499,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_45
    | spl15_87
    | ~ spl15_101 ),
    inference(superposition,[],[f837,f2472]) ).

fof(f2504,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_101 ),
    inference(trivial_inequality_removal,[],[f2474]) ).

fof(f2505,plain,
    ( ~ spl15_45
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f2504]) ).

fof(f2507,plain,
    ( ~ spl15_45
    | ~ spl15_45
    | spl15_87
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2499,f904,f836,f578,f578]) ).

fof(f2525,plain,
    ( e2 = e3
    | ~ spl15_3
    | ~ spl15_17 ),
    inference(superposition,[],[f379,f441]) ).

fof(f2527,plain,
    ( e2 != e2
    | ~ spl15_3
    | ~ spl15_17 ),
    inference(superposition,[],[f181,f2525]) ).

fof(f2549,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_17 ),
    inference(trivial_inequality_removal,[],[f2527]) ).

fof(f2550,plain,
    ( ~ spl15_3
    | ~ spl15_17 ),
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2560,plain,
    ( e0 = e1
    | ~ spl15_43
    | ~ spl15_89 ),
    inference(superposition,[],[f847,f570]) ).

fof(f2563,plain,
    ( e0 != e0
    | ~ spl15_43
    | ~ spl15_89 ),
    inference(superposition,[],[f186,f2560]) ).

fof(f2582,plain,
    ( $false
    | ~ spl15_43
    | ~ spl15_89 ),
    inference(trivial_inequality_removal,[],[f2563]) ).

fof(f2583,plain,
    ( ~ spl15_43
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f2582]) ).

fof(f2600,plain,
    ( e0 = e3
    | ~ spl15_3
    | ~ spl15_52 ),
    inference(superposition,[],[f379,f612]) ).

fof(f2604,plain,
    ( e0 != e0
    | ~ spl15_3
    | ~ spl15_52 ),
    inference(superposition,[],[f184,f2600]) ).

fof(f2627,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_52 ),
    inference(trivial_inequality_removal,[],[f2604]) ).

fof(f2628,plain,
    ( ~ spl15_3
    | ~ spl15_52 ),
    inference(avatar_contradiction_clause,[],[f2627]) ).

fof(f2650,plain,
    ( e0 = e2
    | ~ spl15_47
    | ~ spl15_78 ),
    inference(superposition,[],[f590,f791]) ).

fof(f2653,plain,
    ( e0 != e0
    | ~ spl15_47
    | ~ spl15_78 ),
    inference(superposition,[],[f185,f2650]) ).

fof(f2681,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_78 ),
    inference(trivial_inequality_removal,[],[f2653]) ).

fof(f2682,plain,
    ( ~ spl15_47
    | ~ spl15_78 ),
    inference(avatar_contradiction_clause,[],[f2681]) ).

fof(f2698,plain,
    ( e0 = e2
    | ~ spl15_17
    | ~ spl15_52 ),
    inference(superposition,[],[f612,f441]) ).

fof(f2701,plain,
    ( e0 != e0
    | ~ spl15_17
    | ~ spl15_52 ),
    inference(superposition,[],[f185,f2698]) ).

fof(f2708,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_17
    | spl15_42
    | ~ spl15_52 ),
    inference(superposition,[],[f564,f2698]) ).

fof(f2728,plain,
    ( $false
    | ~ spl15_17
    | ~ spl15_52 ),
    inference(trivial_inequality_removal,[],[f2701]) ).

fof(f2729,plain,
    ( ~ spl15_17
    | ~ spl15_52 ),
    inference(avatar_contradiction_clause,[],[f2728]) ).

fof(f2738,plain,
    ( ~ spl15_52
    | ~ spl15_17
    | spl15_42
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f2708,f610,f563,f440,f610]) ).

fof(f2747,plain,
    ( e0 = e2
    | ~ spl15_46
    | ~ spl15_81 ),
    inference(superposition,[],[f585,f811]) ).

fof(f2749,plain,
    ( e0 != e0
    | ~ spl15_46
    | ~ spl15_81 ),
    inference(superposition,[],[f185,f2747]) ).

fof(f2777,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_81 ),
    inference(trivial_inequality_removal,[],[f2749]) ).

fof(f2778,plain,
    ( ~ spl15_46
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f2777]) ).

fof(f2840,plain,
    ( e1 = e3
    | ~ spl15_43
    | ~ spl15_74 ),
    inference(superposition,[],[f570,f750]) ).

fof(f2859,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_43
    | ~ spl15_74 ),
    inference(superposition,[],[f750,f2840]) ).

fof(f2873,plain,
    ( spl15_51
    | ~ spl15_43
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f2859,f748,f568,f606]) ).

fof(f2883,plain,
    ( e2 = e3
    | ~ spl15_77
    | ~ spl15_81 ),
    inference(superposition,[],[f811,f782]) ).

fof(f2884,plain,
    ( e2 != e2
    | ~ spl15_77
    | ~ spl15_81 ),
    inference(superposition,[],[f181,f2883]) ).

fof(f2910,plain,
    ( $false
    | ~ spl15_77
    | ~ spl15_81 ),
    inference(trivial_inequality_removal,[],[f2884]) ).

fof(f2911,plain,
    ( ~ spl15_77
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f2910]) ).

fof(f2932,plain,
    ( e2 = e3
    | ~ spl15_39
    | ~ spl15_83 ),
    inference(superposition,[],[f550,f820]) ).

fof(f2933,plain,
    ( e2 != e2
    | ~ spl15_39
    | ~ spl15_83 ),
    inference(superposition,[],[f181,f2932]) ).

fof(f2958,plain,
    ( $false
    | ~ spl15_39
    | ~ spl15_83 ),
    inference(trivial_inequality_removal,[],[f2933]) ).

fof(f2959,plain,
    ( ~ spl15_39
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f2958]) ).

fof(f2971,plain,
    ( e2 = e3
    | ~ spl15_23
    | ~ spl15_49 ),
    inference(superposition,[],[f600,f468]) ).

fof(f2974,plain,
    ( e2 != e2
    | ~ spl15_23
    | ~ spl15_49 ),
    inference(superposition,[],[f181,f2971]) ).

fof(f2997,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_49 ),
    inference(trivial_inequality_removal,[],[f2974]) ).

fof(f2998,plain,
    ( ~ spl15_23
    | ~ spl15_49 ),
    inference(avatar_contradiction_clause,[],[f2997]) ).

fof(f3012,plain,
    ( e0 = e3
    | ~ spl15_11
    | ~ spl15_35 ),
    inference(superposition,[],[f414,f526]) ).

fof(f3016,plain,
    ( e0 != e0
    | ~ spl15_11
    | ~ spl15_35 ),
    inference(superposition,[],[f184,f3012]) ).

fof(f3036,plain,
    ( $false
    | ~ spl15_11
    | ~ spl15_35 ),
    inference(trivial_inequality_removal,[],[f3016]) ).

fof(f3037,plain,
    ( ~ spl15_11
    | ~ spl15_35 ),
    inference(avatar_contradiction_clause,[],[f3036]) ).

fof(f3055,plain,
    ( e1 = e2
    | ~ spl15_43
    | ~ spl15_80 ),
    inference(superposition,[],[f570,f807]) ).

fof(f3056,plain,
    ( e1 != e1
    | ~ spl15_43
    | ~ spl15_80 ),
    inference(superposition,[],[f183,f3055]) ).

fof(f3083,plain,
    ( $false
    | ~ spl15_43
    | ~ spl15_80 ),
    inference(trivial_inequality_removal,[],[f3056]) ).

fof(f3084,plain,
    ( ~ spl15_43
    | ~ spl15_80 ),
    inference(avatar_contradiction_clause,[],[f3083]) ).

fof(f3103,plain,
    ( e2 = e3
    | ~ spl15_74
    | ~ spl15_80 ),
    inference(superposition,[],[f807,f750]) ).

fof(f3104,plain,
    ( e2 != e2
    | ~ spl15_74
    | ~ spl15_80 ),
    inference(superposition,[],[f181,f3103]) ).

fof(f3128,plain,
    ( $false
    | ~ spl15_74
    | ~ spl15_80 ),
    inference(trivial_inequality_removal,[],[f3104]) ).

fof(f3129,plain,
    ( ~ spl15_74
    | ~ spl15_80 ),
    inference(avatar_contradiction_clause,[],[f3128]) ).

fof(f3149,plain,
    ( e1 = e3
    | ~ spl15_71
    | ~ spl15_84 ),
    inference(superposition,[],[f718,f825]) ).

fof(f3153,plain,
    ( e1 != e1
    | ~ spl15_71
    | ~ spl15_84 ),
    inference(superposition,[],[f182,f3149]) ).

fof(f3171,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_71
    | ~ spl15_80
    | ~ spl15_84 ),
    inference(superposition,[],[f807,f3149]) ).

fof(f3176,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_71
    | ~ spl15_84
    | spl15_86 ),
    inference(superposition,[],[f833,f3149]) ).

fof(f3178,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_84 ),
    inference(trivial_inequality_removal,[],[f3153]) ).

fof(f3179,plain,
    ( ~ spl15_71
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f3178]) ).

fof(f3180,plain,
    ( ~ spl15_44
    | ~ spl15_71
    | ~ spl15_84
    | spl15_86 ),
    inference(avatar_split_clause,[],[f3176,f832,f823,f716,f573]) ).

fof(f3183,plain,
    ( spl15_19
    | ~ spl15_71
    | ~ spl15_80
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f3171,f823,f805,f716,f449]) ).

fof(f3197,plain,
    ( e0 = e1
    | ~ spl15_46
    | ~ spl15_85 ),
    inference(superposition,[],[f585,f829]) ).

fof(f3198,plain,
    ( e0 != e0
    | ~ spl15_46
    | ~ spl15_85 ),
    inference(superposition,[],[f186,f3197]) ).

fof(f3206,plain,
    ( e0 != op(e0,e0)
    | spl15_45
    | ~ spl15_46
    | ~ spl15_85 ),
    inference(superposition,[],[f579,f3197]) ).

fof(f3221,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_85 ),
    inference(trivial_inequality_removal,[],[f3198]) ).

fof(f3222,plain,
    ( ~ spl15_46
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f3221]) ).

fof(f3230,plain,
    ( ~ spl15_52
    | spl15_45
    | ~ spl15_46
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f3206,f827,f583,f578,f610]) ).

fof(f3238,plain,
    ( e0 = e1
    | ~ spl15_27
    | ~ spl15_52 ),
    inference(superposition,[],[f612,f487]) ).

fof(f3239,plain,
    ( e0 != e0
    | ~ spl15_27
    | ~ spl15_52 ),
    inference(superposition,[],[f186,f3238]) ).

fof(f3260,plain,
    ( $false
    | ~ spl15_27
    | ~ spl15_52 ),
    inference(trivial_inequality_removal,[],[f3239]) ).

fof(f3261,plain,
    ( ~ spl15_27
    | ~ spl15_52 ),
    inference(avatar_contradiction_clause,[],[f3260]) ).

fof(f3274,plain,
    ( e1 = e3
    | ~ spl15_31
    | ~ spl15_49 ),
    inference(superposition,[],[f600,f506]) ).

fof(f3277,plain,
    ( e1 = e3
    | ~ spl15_38
    | ~ spl15_69 ),
    inference(superposition,[],[f700,f545]) ).

fof(f3280,plain,
    ( e1 != e1
    | ~ spl15_31
    | ~ spl15_49 ),
    inference(superposition,[],[f182,f3274]) ).

fof(f3302,plain,
    ( $false
    | ~ spl15_31
    | ~ spl15_49 ),
    inference(trivial_inequality_removal,[],[f3280]) ).

fof(f3303,plain,
    ( ~ spl15_31
    | ~ spl15_49 ),
    inference(avatar_contradiction_clause,[],[f3302]) ).

fof(f3314,plain,
    ( e1 != e1
    | ~ spl15_38
    | ~ spl15_69 ),
    inference(superposition,[],[f182,f3277]) ).

fof(f3321,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_38
    | spl15_40
    | ~ spl15_69 ),
    inference(superposition,[],[f554,f3277]) ).

fof(f3333,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_38
    | ~ spl15_69
    | spl15_86 ),
    inference(superposition,[],[f833,f3277]) ).

fof(f3335,plain,
    ( $false
    | ~ spl15_38
    | ~ spl15_69 ),
    inference(trivial_inequality_removal,[],[f3314]) ).

fof(f3336,plain,
    ( ~ spl15_38
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f3335]) ).

fof(f3337,plain,
    ( ~ spl15_44
    | ~ spl15_38
    | ~ spl15_69
    | spl15_86 ),
    inference(avatar_split_clause,[],[f3333,f832,f698,f543,f573]) ).

fof(f3344,plain,
    ( ~ spl15_41
    | ~ spl15_38
    | spl15_40
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f3321,f698,f553,f543,f558]) ).

fof(f3355,plain,
    ( e0 = e1
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(superposition,[],[f709,f838]) ).

fof(f3358,plain,
    ( e0 != e0
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(superposition,[],[f186,f3355]) ).

fof(f3369,plain,
    ( e0 != op(e3,e0)
    | spl15_69
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(superposition,[],[f699,f3355]) ).

fof(f3373,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_70
    | spl15_76
    | ~ spl15_87 ),
    inference(superposition,[],[f772,f3355]) ).

fof(f3381,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(trivial_inequality_removal,[],[f3358]) ).

fof(f3382,plain,
    ( ~ spl15_70
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f3381]) ).

fof(f3386,plain,
    ( ~ spl15_52
    | ~ spl15_70
    | spl15_76
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f3373,f836,f771,f707,f610]) ).

fof(f3388,plain,
    ( ~ spl15_70
    | spl15_69
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f3369,f836,f707,f698,f707]) ).

fof(f3397,plain,
    ( e0 = e2
    | ~ spl15_80
    | ~ spl15_89 ),
    inference(superposition,[],[f807,f847]) ).

fof(f3419,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_80
    | ~ spl15_89
    | spl15_92 ),
    inference(superposition,[],[f860,f3397]) ).

fof(f3428,plain,
    ( ~ spl15_101
    | ~ spl15_80
    | ~ spl15_89
    | spl15_92 ),
    inference(avatar_split_clause,[],[f3419,f859,f845,f805,f904]) ).

fof(f3450,plain,
    ( e0 = e3
    | ~ spl15_71
    | ~ spl15_88 ),
    inference(superposition,[],[f718,f843]) ).

fof(f3454,plain,
    ( e0 != e0
    | ~ spl15_71
    | ~ spl15_88 ),
    inference(superposition,[],[f184,f3450]) ).

fof(f3480,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_88 ),
    inference(trivial_inequality_removal,[],[f3454]) ).

fof(f3481,plain,
    ( ~ spl15_71
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f3480]) ).

fof(f3498,plain,
    ( e0 = e2
    | ~ spl15_23
    | ~ spl15_36 ),
    inference(superposition,[],[f468,f532]) ).

fof(f3501,plain,
    ( e0 != e0
    | ~ spl15_23
    | ~ spl15_36 ),
    inference(superposition,[],[f185,f3498]) ).

fof(f3510,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_23
    | ~ spl15_36
    | spl15_47 ),
    inference(superposition,[],[f589,f3498]) ).

fof(f3526,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_36 ),
    inference(trivial_inequality_removal,[],[f3501]) ).

fof(f3527,plain,
    ( ~ spl15_23
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f3526]) ).

fof(f3535,plain,
    ( ~ spl15_52
    | ~ spl15_23
    | ~ spl15_36
    | spl15_47 ),
    inference(avatar_split_clause,[],[f3510,f588,f531,f467,f610]) ).

fof(f3545,plain,
    ( e0 = e1
    | ~ spl15_69
    | ~ spl15_91 ),
    inference(superposition,[],[f700,f856]) ).

fof(f3548,plain,
    ( e0 != e0
    | ~ spl15_69
    | ~ spl15_91 ),
    inference(superposition,[],[f186,f3545]) ).

fof(f3572,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_91 ),
    inference(trivial_inequality_removal,[],[f3548]) ).

fof(f3573,plain,
    ( ~ spl15_69
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f3572]) ).

fof(f3587,plain,
    ( e0 = e3
    | ~ spl15_37
    | ~ spl15_90 ),
    inference(superposition,[],[f540,f852]) ).

fof(f3591,plain,
    ( e0 != e0
    | ~ spl15_37
    | ~ spl15_90 ),
    inference(superposition,[],[f184,f3587]) ).

fof(f3619,plain,
    ( $false
    | ~ spl15_37
    | ~ spl15_90 ),
    inference(trivial_inequality_removal,[],[f3591]) ).

fof(f3620,plain,
    ( ~ spl15_37
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f3619]) ).

fof(f3645,plain,
    ( e1 = e3
    | ~ spl15_77
    | ~ spl15_85 ),
    inference(superposition,[],[f829,f782]) ).

fof(f3649,plain,
    ( e1 != e1
    | ~ spl15_77
    | ~ spl15_85 ),
    inference(superposition,[],[f182,f3645]) ).

fof(f3676,plain,
    ( $false
    | ~ spl15_77
    | ~ spl15_85 ),
    inference(trivial_inequality_removal,[],[f3649]) ).

fof(f3677,plain,
    ( ~ spl15_77
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f3676]) ).

fof(f3693,plain,
    ( e0 = e1
    | ~ spl15_84
    | ~ spl15_88 ),
    inference(superposition,[],[f843,f825]) ).

fof(f3696,plain,
    ( e0 != e0
    | ~ spl15_84
    | ~ spl15_88 ),
    inference(superposition,[],[f186,f3693]) ).

fof(f3718,plain,
    ( $false
    | ~ spl15_84
    | ~ spl15_88 ),
    inference(trivial_inequality_removal,[],[f3696]) ).

fof(f3719,plain,
    ( ~ spl15_84
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f3718]) ).

fof(f3728,plain,
    ( e1 = e3
    | ~ spl15_6
    | ~ spl15_51 ),
    inference(superposition,[],[f608,f392]) ).

fof(f3732,plain,
    ( e1 != e1
    | ~ spl15_6
    | ~ spl15_51 ),
    inference(superposition,[],[f182,f3728]) ).

fof(f3755,plain,
    ( $false
    | ~ spl15_6
    | ~ spl15_51 ),
    inference(trivial_inequality_removal,[],[f3732]) ).

fof(f3756,plain,
    ( ~ spl15_6
    | ~ spl15_51 ),
    inference(avatar_contradiction_clause,[],[f3755]) ).

fof(f3775,plain,
    ( e1 = e3
    | ~ spl15_39
    | ~ spl15_87 ),
    inference(superposition,[],[f550,f838]) ).

fof(f3778,plain,
    ( e1 != e1
    | ~ spl15_39
    | ~ spl15_87 ),
    inference(superposition,[],[f182,f3775]) ).

fof(f3792,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_39
    | spl15_70
    | ~ spl15_87 ),
    inference(superposition,[],[f708,f3775]) ).

fof(f3806,plain,
    ( $false
    | ~ spl15_39
    | ~ spl15_87 ),
    inference(trivial_inequality_removal,[],[f3778]) ).

fof(f3807,plain,
    ( ~ spl15_39
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f3806]) ).

fof(f3813,plain,
    ( ~ spl15_76
    | ~ spl15_39
    | spl15_70
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f3792,f836,f707,f548,f771]) ).

fof(f3818,plain,
    ( e1 = e3
    | ~ spl15_37
    | ~ spl15_86 ),
    inference(superposition,[],[f540,f834]) ).

fof(f3820,plain,
    ( e1 != e1
    | ~ spl15_37
    | ~ spl15_86 ),
    inference(superposition,[],[f182,f3818]) ).

fof(f3847,plain,
    ( $false
    | ~ spl15_37
    | ~ spl15_86 ),
    inference(trivial_inequality_removal,[],[f3820]) ).

fof(f3848,plain,
    ( ~ spl15_37
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f3847]) ).

fof(f3870,plain,
    ( e1 = e3
    | ~ spl15_95
    | ~ spl15_97 ),
    inference(superposition,[],[f874,f886]) ).

fof(f3874,plain,
    ( e1 != e1
    | ~ spl15_95
    | ~ spl15_97 ),
    inference(superposition,[],[f182,f3870]) ).

fof(f3904,plain,
    ( $false
    | ~ spl15_95
    | ~ spl15_97 ),
    inference(trivial_inequality_removal,[],[f3874]) ).

fof(f3905,plain,
    ( ~ spl15_95
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f3904]) ).

fof(f3920,plain,
    ( e0 = e1
    | ~ spl15_72
    | ~ spl15_99 ),
    inference(superposition,[],[f732,f896]) ).

fof(f3922,plain,
    ( e0 != e0
    | ~ spl15_72
    | ~ spl15_99 ),
    inference(superposition,[],[f186,f3920]) ).

fof(f3946,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_72
    | ~ spl15_99 ),
    inference(superposition,[],[f896,f3920]) ).

fof(f3947,plain,
    ( $false
    | ~ spl15_72
    | ~ spl15_99 ),
    inference(trivial_inequality_removal,[],[f3922]) ).

fof(f3948,plain,
    ( ~ spl15_72
    | ~ spl15_99 ),
    inference(avatar_contradiction_clause,[],[f3947]) ).

fof(f3949,plain,
    ( spl15_73
    | ~ spl15_72
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f3946,f894,f730,f739]) ).

fof(f3961,plain,
    ( e1 = e3
    | ~ spl15_79
    | ~ spl15_100 ),
    inference(superposition,[],[f800,f901]) ).

fof(f3964,plain,
    ( e1 != e1
    | ~ spl15_79
    | ~ spl15_100 ),
    inference(superposition,[],[f182,f3961]) ).

fof(f3987,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_79
    | spl15_85
    | ~ spl15_100 ),
    inference(superposition,[],[f828,f3961]) ).

fof(f3994,plain,
    ( $false
    | ~ spl15_79
    | ~ spl15_100 ),
    inference(trivial_inequality_removal,[],[f3964]) ).

fof(f3995,plain,
    ( ~ spl15_79
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f3994]) ).

fof(f4000,plain,
    ( ~ spl15_79
    | ~ spl15_79
    | spl15_85
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f3987,f899,f827,f798,f798]) ).

fof(f4012,plain,
    ( e1 = e2
    | ~ spl15_79
    | ~ spl15_102 ),
    inference(superposition,[],[f800,f911]) ).

fof(f4014,plain,
    ( e1 != e1
    | ~ spl15_79
    | ~ spl15_102 ),
    inference(superposition,[],[f183,f4012]) ).

fof(f4044,plain,
    ( $false
    | ~ spl15_79
    | ~ spl15_102 ),
    inference(trivial_inequality_removal,[],[f4014]) ).

fof(f4045,plain,
    ( ~ spl15_79
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f4044]) ).

fof(f4066,plain,
    ( e0 = e1
    | ~ spl15_47
    | ~ spl15_96 ),
    inference(superposition,[],[f590,f881]) ).

fof(f4067,plain,
    ( e0 != e0
    | ~ spl15_47
    | ~ spl15_96 ),
    inference(superposition,[],[f186,f4066]) ).

fof(f4095,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_96 ),
    inference(trivial_inequality_removal,[],[f4067]) ).

fof(f4096,plain,
    ( ~ spl15_47
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f4095]) ).

fof(f4108,plain,
    ( e1 = e2
    | ~ spl15_44
    | ~ spl15_75 ),
    inference(superposition,[],[f575,f759]) ).

fof(f4110,plain,
    ( e1 != e1
    | ~ spl15_44
    | ~ spl15_75 ),
    inference(superposition,[],[f183,f4108]) ).

fof(f4139,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_75 ),
    inference(trivial_inequality_removal,[],[f4110]) ).

fof(f4140,plain,
    ( ~ spl15_44
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f4139]) ).

fof(f4160,plain,
    ( e0 = e2
    | ~ spl15_82
    | ~ spl15_91 ),
    inference(superposition,[],[f856,f816]) ).

fof(f4164,plain,
    ( e0 != e0
    | ~ spl15_82
    | ~ spl15_91 ),
    inference(superposition,[],[f185,f4160]) ).

fof(f4192,plain,
    ( $false
    | ~ spl15_82
    | ~ spl15_91 ),
    inference(trivial_inequality_removal,[],[f4164]) ).

fof(f4193,plain,
    ( ~ spl15_82
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f4192]) ).

fof(f4207,plain,
    ( e2 = e3
    | ~ spl15_11
    | ~ spl15_50 ),
    inference(superposition,[],[f604,f414]) ).

fof(f4210,plain,
    ( e2 != e2
    | ~ spl15_11
    | ~ spl15_50 ),
    inference(superposition,[],[f181,f4207]) ).

fof(f4229,plain,
    ( $false
    | ~ spl15_11
    | ~ spl15_50 ),
    inference(trivial_inequality_removal,[],[f4210]) ).

fof(f4230,plain,
    ( ~ spl15_11
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f4229]) ).

fof(f4248,plain,
    ( e1 = e2
    | ~ spl15_69
    | ~ spl15_82 ),
    inference(superposition,[],[f816,f700]) ).

fof(f4250,plain,
    ( e1 != e1
    | ~ spl15_69
    | ~ spl15_82 ),
    inference(superposition,[],[f183,f4248]) ).

fof(f4271,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_82 ),
    inference(trivial_inequality_removal,[],[f4250]) ).

fof(f4272,plain,
    ( ~ spl15_69
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f4271]) ).

fof(f4304,plain,
    ( e1 = e2
    | ~ spl15_45
    | ~ spl15_103 ),
    inference(superposition,[],[f580,f916]) ).

fof(f4306,plain,
    ( e1 != e1
    | ~ spl15_45
    | ~ spl15_103 ),
    inference(superposition,[],[f183,f4304]) ).

fof(f4314,plain,
    ( e1 != op(e1,e0)
    | spl15_42
    | ~ spl15_45
    | ~ spl15_103 ),
    inference(superposition,[],[f564,f4304]) ).

fof(f4336,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_103 ),
    inference(trivial_inequality_removal,[],[f4306]) ).

fof(f4337,plain,
    ( ~ spl15_45
    | ~ spl15_103 ),
    inference(avatar_contradiction_clause,[],[f4336]) ).

fof(f4345,plain,
    ( ~ spl15_45
    | spl15_42
    | ~ spl15_45
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f4314,f914,f578,f563,f578]) ).

fof(f4347,plain,
    ( e1 = e2
    | ~ spl15_42
    | ~ spl15_97 ),
    inference(superposition,[],[f886,f565]) ).

fof(f4351,plain,
    ( e0 = e2
    | ~ spl15_75
    | ~ spl15_98 ),
    inference(superposition,[],[f891,f759]) ).

fof(f4354,plain,
    ( e1 != e1
    | ~ spl15_42
    | ~ spl15_97 ),
    inference(superposition,[],[f183,f4347]) ).

fof(f4373,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_42
    | ~ spl15_86
    | ~ spl15_97 ),
    inference(superposition,[],[f834,f4347]) ).

fof(f4384,plain,
    ( $false
    | ~ spl15_42
    | ~ spl15_97 ),
    inference(trivial_inequality_removal,[],[f4354]) ).

fof(f4385,plain,
    ( ~ spl15_42
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f4384]) ).

fof(f4391,plain,
    ( spl15_69
    | ~ spl15_42
    | ~ spl15_86
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f4373,f884,f832,f563,f698]) ).

fof(f4395,plain,
    ( e0 != e0
    | ~ spl15_75
    | ~ spl15_98 ),
    inference(superposition,[],[f185,f4351]) ).

fof(f4423,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_98 ),
    inference(trivial_inequality_removal,[],[f4395]) ).

fof(f4424,plain,
    ( ~ spl15_75
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f4423]) ).

fof(f4441,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_49 ),
    inference(superposition,[],[f133,f600]) ).

fof(f4442,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_49 ),
    inference(superposition,[],[f134,f600]) ).

fof(f4443,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_86 ),
    inference(superposition,[],[f135,f834]) ).

fof(f4444,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_49 ),
    inference(superposition,[],[f136,f600]) ).

fof(f4445,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_86 ),
    inference(superposition,[],[f137,f834]) ).

fof(f4446,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_82 ),
    inference(superposition,[],[f138,f816]) ).

fof(f4447,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_40 ),
    inference(superposition,[],[f139,f555]) ).

fof(f4448,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_40 ),
    inference(superposition,[],[f140,f555]) ).

fof(f4449,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_11 ),
    inference(superposition,[],[f141,f414]) ).

fof(f4450,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_40 ),
    inference(superposition,[],[f142,f555]) ).

fof(f4451,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_11 ),
    inference(superposition,[],[f143,f414]) ).

fof(f4452,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_99 ),
    inference(superposition,[],[f144,f896]) ).

fof(f4453,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_43 ),
    inference(superposition,[],[f145,f570]) ).

fof(f4454,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_43 ),
    inference(superposition,[],[f146,f570]) ).

fof(f4456,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_43 ),
    inference(superposition,[],[f148,f570]) ).

fof(f4457,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_98 ),
    inference(superposition,[],[f149,f891]) ).

fof(f4458,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_6 ),
    inference(superposition,[],[f150,f392]) ).

fof(f4459,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_46 ),
    inference(superposition,[],[f151,f585]) ).

fof(f4460,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_46 ),
    inference(superposition,[],[f152,f585]) ).

fof(f4461,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_78 ),
    inference(superposition,[],[f153,f791]) ).

fof(f4465,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_49 ),
    inference(superposition,[],[f157,f600]) ).

fof(f4466,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_49 ),
    inference(superposition,[],[f158,f600]) ).

fof(f4467,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_40 ),
    inference(superposition,[],[f159,f555]) ).

fof(f4468,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_49 ),
    inference(superposition,[],[f160,f600]) ).

fof(f4469,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_40 ),
    inference(superposition,[],[f161,f555]) ).

fof(f4470,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_43 ),
    inference(superposition,[],[f162,f570]) ).

fof(f4472,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_86 ),
    inference(superposition,[],[f164,f834]) ).

fof(f4473,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_11 ),
    inference(superposition,[],[f165,f414]) ).

fof(f4474,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_86 ),
    inference(superposition,[],[f166,f834]) ).

fof(f4475,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_11 ),
    inference(superposition,[],[f167,f414]) ).

fof(f4481,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_99 ),
    inference(superposition,[],[f173,f896]) ).

fof(f4483,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_70 ),
    inference(superposition,[],[f175,f709]) ).

fof(f4484,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_70 ),
    inference(superposition,[],[f176,f709]) ).

fof(f4489,plain,
    ( e1 != op(e3,e0)
    | spl15_1
    | ~ spl15_3 ),
    inference(superposition,[],[f372,f379]) ).

fof(f4490,plain,
    ( e0 != op(e3,e1)
    | spl15_4
    | ~ spl15_6 ),
    inference(superposition,[],[f385,f392]) ).

fof(f4491,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_3
    | spl15_7 ),
    inference(superposition,[],[f398,f379]) ).

fof(f4492,plain,
    ( e0 != op(e3,e2)
    | spl15_9
    | ~ spl15_11 ),
    inference(superposition,[],[f407,f414]) ).

fof(f4493,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_6
    | spl15_12 ),
    inference(superposition,[],[f420,f392]) ).

fof(f4494,plain,
    ( ~ spl15_82
    | ~ spl15_6
    | spl15_12 ),
    inference(avatar_split_clause,[],[f4493,f418,f391,f814]) ).

fof(f4520,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_12
    | spl15_13 ),
    inference(superposition,[],[f424,f419]) ).

fof(f4521,plain,
    ( ~ spl15_99
    | ~ spl15_12
    | spl15_13 ),
    inference(avatar_split_clause,[],[f4520,f422,f418,f894]) ).

fof(f4522,plain,
    ( ~ spl15_90
    | spl15_9
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f4492,f413,f405,f850]) ).

fof(f4523,plain,
    ( ~ spl15_83
    | ~ spl15_3
    | spl15_7 ),
    inference(avatar_split_clause,[],[f4491,f396,f378,f818]) ).

fof(f4524,plain,
    ( ~ spl15_69
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f4443,f832,f698]) ).

fof(f4525,plain,
    ( ~ spl15_44
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f4453,f568,f573]) ).

fof(f4526,plain,
    ( ~ spl15_44
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f4472,f832,f573]) ).

fof(f4530,plain,
    ( ~ spl15_83
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f4446,f814,f818]) ).

fof(f4531,plain,
    ( ~ spl15_39
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f4444,f598,f548]) ).

fof(f4532,plain,
    ( ~ spl15_76
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f4484,f707,f771]) ).

fof(f4537,plain,
    ( e2 != op(e1,e0)
    | spl15_7
    | ~ spl15_27 ),
    inference(superposition,[],[f398,f487]) ).

fof(f4540,plain,
    ( e3 != op(e1,e0)
    | spl15_20
    | ~ spl15_27 ),
    inference(superposition,[],[f456,f487]) ).

fof(f4542,plain,
    ( ~ spl15_103
    | spl15_7
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f4537,f486,f396,f914]) ).

fof(f4548,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_50 ),
    inference(superposition,[],[f165,f604]) ).

fof(f4549,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_50 ),
    inference(superposition,[],[f167,f604]) ).

fof(f4553,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_14
    | ~ spl15_50 ),
    inference(superposition,[],[f428,f604]) ).

fof(f4557,plain,
    ( spl15_29
    | ~ spl15_14
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f4553,f602,f427,f495]) ).

fof(f4559,plain,
    ( ~ spl15_78
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f4549,f602,f789]) ).

fof(f4560,plain,
    ( ~ spl15_95
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f4451,f413,f872]) ).

fof(f4561,plain,
    ( ~ spl15_93
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f4475,f413,f863]) ).

fof(f4562,plain,
    ( ~ spl15_81
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f4469,f553,f809]) ).

fof(f4563,plain,
    ( ~ spl15_50
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f4447,f553,f602]) ).

fof(f4564,plain,
    ( ~ spl15_48
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f4460,f583,f593]) ).

fof(f4565,plain,
    ( ~ spl15_101
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f4458,f391,f904]) ).

fof(f4566,plain,
    ( ~ spl15_101
    | spl15_20
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f4540,f486,f454,f904]) ).

fof(f4567,plain,
    ( ~ spl15_73
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f4483,f707,f739]) ).

fof(f4568,plain,
    ( ~ spl15_76
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f4457,f889,f771]) ).

fof(f4570,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_29 ),
    inference(superposition,[],[f143,f496]) ).

fof(f4572,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_29 ),
    inference(superposition,[],[f167,f496]) ).

fof(f4575,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_29
    | spl15_32 ),
    inference(superposition,[],[f512,f496]) ).

fof(f4577,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_41 ),
    inference(superposition,[],[f144,f560]) ).

fof(f4582,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_69 ),
    inference(superposition,[],[f138,f700]) ).

fof(f4584,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_69 ),
    inference(superposition,[],[f170,f700]) ).

fof(f4591,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_75 ),
    inference(superposition,[],[f149,f759]) ).

fof(f4592,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_75 ),
    inference(superposition,[],[f168,f759]) ).

fof(f4595,plain,
    ( ~ spl15_78
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f4592,f757,f789]) ).

fof(f4596,plain,
    ( ~ spl15_103
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f4591,f757,f914]) ).

fof(f4597,plain,
    ( ~ spl15_92
    | ~ spl15_29
    | spl15_32 ),
    inference(avatar_split_clause,[],[f4575,f510,f495,f859]) ).

fof(f4600,plain,
    ( e0 = e2
    | ~ spl15_76
    | ~ spl15_103 ),
    inference(superposition,[],[f916,f773]) ).

fof(f4603,plain,
    ( op(e3,e0) != op(e3,e0)
    | ~ spl15_76
    | ~ spl15_103 ),
    inference(superposition,[],[f137,f4600]) ).

fof(f4643,plain,
    ( e0 != op(e1,e0)
    | spl15_75
    | ~ spl15_76
    | ~ spl15_103 ),
    inference(superposition,[],[f758,f4600]) ).

fof(f4664,plain,
    ( $false
    | ~ spl15_76
    | ~ spl15_103 ),
    inference(trivial_inequality_removal,[],[f4603]) ).

fof(f4665,plain,
    ( ~ spl15_76
    | ~ spl15_103 ),
    inference(avatar_contradiction_clause,[],[f4664]) ).

fof(f4668,plain,
    ( ~ spl15_76
    | spl15_75
    | ~ spl15_76
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f4643,f914,f771,f757,f771]) ).

fof(f4669,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_68 ),
    inference(superposition,[],[f135,f691]) ).

fof(f4670,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_68 ),
    inference(superposition,[],[f137,f691]) ).

fof(f4672,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_68 ),
    inference(superposition,[],[f164,f691]) ).

fof(f4673,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_68 ),
    inference(superposition,[],[f166,f691]) ).

fof(f4675,plain,
    ( ~ spl15_78
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f4673,f689,f789]) ).

fof(f4676,plain,
    ( ~ spl15_94
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f4449,f413,f868]) ).

fof(f4677,plain,
    ( ~ spl15_92
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f4473,f413,f859]) ).

fof(f4678,plain,
    ( ~ spl15_41
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f4448,f553,f558]) ).

fof(f4679,plain,
    ( ~ spl15_73
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f4452,f894,f739]) ).

fof(f4680,plain,
    ( ~ spl15_48
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f4481,f894,f593]) ).

fof(f4681,plain,
    ( ~ spl15_77
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f4468,f598,f780]) ).

fof(f4682,plain,
    ( ~ spl15_87
    | spl15_1
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f4489,f378,f370,f836]) ).

fof(f4683,plain,
    ( ~ spl15_74
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f4466,f598,f748]) ).

fof(f4684,plain,
    ( ~ spl15_38
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f4442,f598,f543]) ).

fof(f4698,plain,
    ( e0 != op(e2,e1)
    | spl15_4
    | ~ spl15_19 ),
    inference(superposition,[],[f385,f450]) ).

fof(f4702,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_19
    | spl15_24 ),
    inference(superposition,[],[f474,f450]) ).

fof(f4713,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_44 ),
    inference(superposition,[],[f147,f575]) ).

fof(f4715,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_44 ),
    inference(superposition,[],[f168,f575]) ).

fof(f4717,plain,
    ( ~ spl15_96
    | ~ spl15_44 ),
    inference(avatar_split_clause,[],[f4715,f573,f879]) ).

fof(f4718,plain,
    ( ~ spl15_87
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f4582,f698,f836]) ).

fof(f4720,plain,
    ( ~ spl15_99
    | spl15_4
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f4698,f449,f383,f894]) ).

fof(f4731,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_23 ),
    inference(superposition,[],[f160,f468]) ).

fof(f4737,plain,
    ( ~ spl15_81
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f4731,f467,f809]) ).

fof(f4741,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_37 ),
    inference(superposition,[],[f164,f540]) ).

fof(f4743,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_47 ),
    inference(superposition,[],[f155,f590]) ).

fof(f4744,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_47 ),
    inference(superposition,[],[f153,f590]) ).

fof(f4765,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_71 ),
    inference(superposition,[],[f140,f718]) ).

fof(f4766,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_71 ),
    inference(superposition,[],[f142,f718]) ).

fof(f4767,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_71 ),
    inference(superposition,[],[f159,f718]) ).

fof(f4768,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_71 ),
    inference(superposition,[],[f161,f718]) ).

fof(f4774,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_85 ),
    inference(superposition,[],[f151,f829]) ).

fof(f4776,plain,
    ( op(e0,e0) != e1
    | ~ spl15_85 ),
    inference(superposition,[],[f154,f829]) ).

fof(f4783,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_89 ),
    inference(superposition,[],[f145,f847]) ).

fof(f4784,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_89 ),
    inference(superposition,[],[f146,f847]) ).

fof(f4809,plain,
    ( op(e0,e0) != e3
    | ~ spl15_100 ),
    inference(superposition,[],[f156,f901]) ).

fof(f4812,plain,
    ( op(e0,e0) != e3
    | ~ spl15_101 ),
    inference(superposition,[],[f180,f906]) ).

fof(f4816,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_1
    | spl15_8 ),
    inference(superposition,[],[f402,f371]) ).

fof(f4817,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_1
    | spl15_2 ),
    inference(superposition,[],[f376,f371]) ).

fof(f4818,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_4
    | ~ spl15_19 ),
    inference(superposition,[],[f384,f450]) ).

fof(f4820,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_4
    | spl15_5 ),
    inference(superposition,[],[f389,f384]) ).

fof(f4822,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_7
    | ~ spl15_17 ),
    inference(superposition,[],[f397,f441]) ).

fof(f4825,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_7
    | spl15_8 ),
    inference(superposition,[],[f402,f397]) ).

fof(f4826,plain,
    ( e2 != op(e2,e0)
    | spl15_2
    | ~ spl15_7 ),
    inference(superposition,[],[f376,f397]) ).

fof(f4827,plain,
    ( ~ spl15_97
    | ~ spl15_7
    | spl15_8 ),
    inference(avatar_split_clause,[],[f4825,f400,f396,f884]) ).

fof(f4828,plain,
    ( spl15_42
    | ~ spl15_7
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f4822,f440,f396,f563]) ).

fof(f4829,plain,
    ( e2 != op(e2,e0)
    | spl15_7
    | ~ spl15_17 ),
    inference(superposition,[],[f398,f441]) ).

fof(f4832,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_9
    | spl15_10 ),
    inference(superposition,[],[f411,f406]) ).

fof(f4842,plain,
    ( e1 != op(e3,e0)
    | spl15_8
    | ~ spl15_20 ),
    inference(superposition,[],[f402,f455]) ).

fof(f4843,plain,
    ( e2 != op(e3,e0)
    | spl15_2
    | ~ spl15_20 ),
    inference(superposition,[],[f376,f455]) ).

fof(f4845,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_17
    | spl15_20 ),
    inference(superposition,[],[f456,f441]) ).

fof(f4850,plain,
    ( e1 != op(e3,e2)
    | spl15_10
    | ~ spl15_32 ),
    inference(superposition,[],[f411,f511]) ).

fof(f4859,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_1
    | spl15_16 ),
    inference(superposition,[],[f438,f371]) ).

fof(f4860,plain,
    ( ~ spl15_101
    | ~ spl15_1
    | spl15_16 ),
    inference(avatar_split_clause,[],[f4859,f436,f370,f904]) ).

fof(f4861,plain,
    ( e1 != op(e2,e0)
    | spl15_1
    | ~ spl15_17 ),
    inference(superposition,[],[f372,f441]) ).

fof(f4862,plain,
    ( ~ spl15_97
    | spl15_1
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f4861,f440,f370,f884]) ).

fof(f4863,plain,
    ( spl15_99
    | ~ spl15_4
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f4818,f449,f383,f894]) ).

fof(f4864,plain,
    ( ~ spl15_95
    | ~ spl15_17
    | spl15_20 ),
    inference(avatar_split_clause,[],[f4845,f454,f440,f872]) ).

fof(f4866,plain,
    ( ~ spl15_87
    | spl15_8
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f4842,f454,f400,f836]) ).

fof(f4867,plain,
    ( ~ spl15_51
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f4584,f698,f606]) ).

fof(f4868,plain,
    ( ~ spl15_94
    | ~ spl15_19
    | spl15_24 ),
    inference(avatar_split_clause,[],[f4702,f472,f449,f868]) ).

fof(f4870,plain,
    ( ~ spl15_51
    | ~ spl15_44 ),
    inference(avatar_split_clause,[],[f4713,f573,f606]) ).

fof(f4871,plain,
    ( ~ spl15_42
    | spl15_7
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f4829,f440,f396,f563]) ).

fof(f4872,plain,
    ( ~ spl15_48
    | ~ spl15_47 ),
    inference(avatar_split_clause,[],[f4744,f588,f593]) ).

fof(f4873,plain,
    ( ~ spl15_75
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f4548,f602,f757]) ).

fof(f4874,plain,
    ( ~ spl15_34
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f4784,f845,f520]) ).

fof(f4876,plain,
    ( ~ spl15_96
    | ~ spl15_9
    | spl15_10 ),
    inference(avatar_split_clause,[],[f4832,f409,f405,f879]) ).

fof(f4877,plain,
    ( ~ spl15_51
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f4454,f568,f606]) ).

fof(f4878,plain,
    ( ~ spl15_45
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f4456,f568,f578]) ).

fof(f4879,plain,
    ( ~ spl15_85
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f4470,f568,f827]) ).

fof(f4880,plain,
    ( ~ spl15_47
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f4459,f583,f588]) ).

fof(f4881,plain,
    ( ~ spl15_3
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f4812,f904,f378]) ).

fof(f4882,plain,
    ( ~ spl15_96
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f4474,f832,f879]) ).

fof(f4883,plain,
    ( ~ spl15_3
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f4809,f899,f378]) ).

fof(f4884,plain,
    ( ~ spl15_97
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f4570,f495,f884]) ).

fof(f4885,plain,
    ( ~ spl15_96
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f4572,f495,f879]) ).

fof(f4886,plain,
    ( ~ spl15_86
    | spl15_10
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f4850,f510,f409,f832]) ).

fof(f4887,plain,
    ( ~ spl15_82
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f4669,f689,f814]) ).

fof(f4907,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_31 ),
    inference(superposition,[],[f160,f506]) ).

fof(f4913,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_38 ),
    inference(superposition,[],[f138,f545]) ).

fof(f4946,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_74 ),
    inference(superposition,[],[f145,f750]) ).

fof(f4952,plain,
    ( ~ spl15_92
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f4946,f748,f859]) ).

fof(f4953,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_81 ),
    inference(superposition,[],[f151,f811]) ).

fof(f4954,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_81 ),
    inference(superposition,[],[f152,f811]) ).

fof(f4965,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_88 ),
    inference(superposition,[],[f159,f843]) ).

fof(f4976,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_93 ),
    inference(superposition,[],[f153,f865]) ).

fof(f4978,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_95 ),
    inference(superposition,[],[f177,f874]) ).

fof(f4999,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_7
    | spl15_16 ),
    inference(superposition,[],[f438,f397]) ).

fof(f5002,plain,
    ( ~ spl15_95
    | ~ spl15_7
    | spl15_16 ),
    inference(avatar_split_clause,[],[f4999,f436,f396,f872]) ).

fof(f5003,plain,
    ( ~ spl15_95
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f4766,f716,f872]) ).

fof(f5004,plain,
    ( ~ spl15_74
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f4767,f716,f748]) ).

fof(f5005,plain,
    ( ~ spl15_98
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f4783,f845,f889]) ).

fof(f5006,plain,
    ( ~ spl15_42
    | spl15_2
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f4826,f396,f374,f563]) ).

fof(f5007,plain,
    ( ~ spl15_42
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f4577,f558,f563]) ).

fof(f5009,plain,
    ( ~ spl15_39
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f4913,f543,f548]) ).

fof(f5010,plain,
    ( ~ spl15_27
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f4776,f827,f486]) ).

fof(f5011,plain,
    ( ~ spl15_85
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f4907,f505,f827]) ).

fof(f5012,plain,
    ( ~ spl15_83
    | spl15_2
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f4843,f454,f374,f818]) ).

fof(f5013,plain,
    ( ~ spl15_89
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f4965,f841,f845]) ).

fof(f5014,plain,
    ( ~ spl15_101
    | ~ spl15_95 ),
    inference(avatar_split_clause,[],[f4978,f872,f904]) ).

fof(f5019,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_77 ),
    inference(superposition,[],[f151,f782]) ).

fof(f5020,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_77 ),
    inference(superposition,[],[f152,f782]) ).

fof(f5023,plain,
    ( ~ spl15_93
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f5019,f780,f863]) ).

fof(f5028,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_80 ),
    inference(superposition,[],[f145,f807]) ).

fof(f5035,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_83 ),
    inference(superposition,[],[f175,f820]) ).

fof(f5036,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_83 ),
    inference(superposition,[],[f176,f820]) ).

fof(f5051,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_90 ),
    inference(superposition,[],[f135,f852]) ).

fof(f5053,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_90 ),
    inference(superposition,[],[f163,f852]) ).

fof(f5055,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_90 ),
    inference(superposition,[],[f166,f852]) ).

fof(f5060,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_92 ),
    inference(superposition,[],[f149,f861]) ).

fof(f5061,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_92 ),
    inference(superposition,[],[f168,f861]) ).

fof(f5081,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_24
    | ~ spl15_51 ),
    inference(superposition,[],[f473,f608]) ).

fof(f5084,plain,
    ( e0 != op(e3,e1)
    | spl15_13
    | ~ spl15_24 ),
    inference(superposition,[],[f424,f473]) ).

fof(f5085,plain,
    ( e2 != op(e3,e1)
    | spl15_5
    | ~ spl15_24 ),
    inference(superposition,[],[f389,f473]) ).

fof(f5086,plain,
    ( spl15_6
    | ~ spl15_24
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f5081,f606,f472,f391]) ).

fof(f5091,plain,
    ( e0 != op(e3,e2)
    | spl15_15
    | ~ spl15_32 ),
    inference(superposition,[],[f433,f511]) ).

fof(f5093,plain,
    ( ~ spl15_90
    | spl15_15
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f5091,f510,f431,f850]) ).

fof(f5095,plain,
    ( ~ spl15_83
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f4670,f689,f818]) ).

fof(f5096,plain,
    ( ~ spl15_75
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f4672,f689,f757]) ).

fof(f5097,plain,
    ( ~ spl15_75
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f5028,f805,f757]) ).

fof(f5098,plain,
    ( ~ spl15_45
    | ~ spl15_1
    | spl15_8 ),
    inference(avatar_split_clause,[],[f4816,f400,f370,f578]) ).

fof(f5099,plain,
    ( ~ spl15_103
    | ~ spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f4817,f374,f370,f914]) ).

fof(f5100,plain,
    ( ~ spl15_91
    | spl15_4
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f4490,f391,f383,f854]) ).

fof(f5101,plain,
    ( ~ spl15_42
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f4450,f553,f563]) ).

fof(f5102,plain,
    ( ~ spl15_80
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f4467,f553,f805]) ).

fof(f5103,plain,
    ( ~ spl15_91
    | spl15_13
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f5084,f472,f422,f854]) ).

fof(f5104,plain,
    ( ~ spl15_92
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f4741,f538,f859]) ).

fof(f5105,plain,
    ( ~ spl15_102
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f4461,f789,f909]) ).

fof(f5106,plain,
    ( ~ spl15_78
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f4953,f809,f789]) ).

fof(f5107,plain,
    ( ~ spl15_102
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f4954,f809,f909]) ).

fof(f5108,plain,
    ( ~ spl15_42
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f5035,f818,f563]) ).

fof(f5109,plain,
    ( ~ spl15_103
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f5036,f818,f914]) ).

fof(f5110,plain,
    ( ~ spl15_96
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f4774,f827,f879]) ).

fof(f5111,plain,
    ( ~ spl15_101
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f5060,f859,f904]) ).

fof(f5112,plain,
    ( ~ spl15_71
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f4465,f598,f716]) ).

fof(f5113,plain,
    ( ~ spl15_37
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f4441,f598,f538]) ).

fof(f5116,plain,
    ( ~ spl15_52
    | ~ spl15_47 ),
    inference(avatar_split_clause,[],[f4743,f588,f610]) ).

fof(f5117,plain,
    ( ~ spl15_87
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f4445,f832,f836]) ).

fof(f5118,plain,
    ( ~ spl15_91
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f5051,f850,f854]) ).

fof(f5119,plain,
    ( ~ spl15_47
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f5055,f850,f588]) ).

fof(f5120,plain,
    ( ~ spl15_100
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f5020,f780,f899]) ).

fof(f5126,plain,
    ( e2 != op(e0,e1)
    | spl15_12
    | ~ spl15_34 ),
    inference(superposition,[],[f420,f521]) ).

fof(f5129,plain,
    ( ~ spl15_102
    | spl15_12
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f5126,f520,f418,f909]) ).

fof(f5138,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_36 ),
    inference(superposition,[],[f133,f532]) ).

fof(f5231,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_12
    | ~ spl15_34 ),
    inference(superposition,[],[f419,f521]) ).

fof(f5235,plain,
    ( e1 != op(e0,e2)
    | spl15_14
    | ~ spl15_35 ),
    inference(superposition,[],[f429,f526]) ).

fof(f5236,plain,
    ( ~ spl15_96
    | spl15_14
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f5235,f525,f427,f879]) ).

fof(f5243,plain,
    ( e3 != op(e0,e1)
    | spl15_24
    | ~ spl15_34 ),
    inference(superposition,[],[f474,f521]) ).

fof(f5245,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_25
    | ~ spl15_36 ),
    inference(superposition,[],[f478,f532]) ).

fof(f5247,plain,
    ( spl15_85
    | ~ spl15_25
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f5245,f531,f477,f827]) ).

fof(f5248,plain,
    ( e1 != op(e0,e3)
    | spl15_25
    | ~ spl15_36 ),
    inference(superposition,[],[f479,f532]) ).

fof(f5249,plain,
    ( e3 != op(e0,e2)
    | spl15_32
    | ~ spl15_35 ),
    inference(superposition,[],[f512,f526]) ).

fof(f5257,plain,
    ( e1 = op(op(e0,e0),e0)
    | ~ spl15_8
    | ~ spl15_52 ),
    inference(superposition,[],[f401,f612]) ).

fof(f5259,plain,
    ( spl15_1
    | ~ spl15_8
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f5257,f610,f400,f370]) ).

fof(f5264,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_10
    | ~ spl15_14 ),
    inference(superposition,[],[f410,f428]) ).

fof(f5266,plain,
    ( spl15_44
    | ~ spl15_10
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f5264,f427,f409,f573]) ).

fof(f5272,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_12
    | spl15_18 ),
    inference(superposition,[],[f447,f419]) ).

fof(f5273,plain,
    ( ~ spl15_94
    | ~ spl15_12
    | spl15_18 ),
    inference(avatar_split_clause,[],[f5272,f445,f418,f868]) ).

fof(f5274,plain,
    ( ~ spl15_102
    | ~ spl15_4
    | spl15_5 ),
    inference(avatar_split_clause,[],[f4820,f387,f383,f909]) ).

fof(f5275,plain,
    ( ~ spl15_94
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f4765,f716,f868]) ).

fof(f5276,plain,
    ( ~ spl15_77
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f4768,f716,f780]) ).

fof(f5278,plain,
    ( ~ spl15_35
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f5053,f850,f525]) ).

fof(f5279,plain,
    ( ~ spl15_100
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f4976,f863,f899]) ).

fof(f5280,plain,
    ( spl15_102
    | ~ spl15_12
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f5231,f520,f418,f909]) ).

fof(f5281,plain,
    ( ~ spl15_100
    | spl15_24
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f5243,f520,f472,f899]) ).

fof(f5282,plain,
    ( ~ spl15_93
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f5061,f859,f863]) ).

fof(f5283,plain,
    ( ~ spl15_93
    | spl15_32
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f5249,f525,f510,f863]) ).

fof(f5284,plain,
    ( ~ spl15_90
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f5138,f531,f850]) ).

fof(f5285,plain,
    ( ~ spl15_85
    | spl15_25
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f5248,f531,f477,f827]) ).

fof(f5286,plain,
    ( ~ spl15_82
    | spl15_5
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f5085,f472,f387,f814]) ).

cnf(s1,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s2,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | ~ spl15_6 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s3,plain,
    ( ~ spl15_3
    | ~ spl15_7
    | ~ spl15_8 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s4,plain,
    ( ~ spl15_9
    | ~ spl15_10
    | ~ spl15_11 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s5,plain,
    ( ~ spl15_6
    | ~ spl15_12
    | ~ spl15_13 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s7,plain,
    ( ~ spl15_1
    | ~ spl15_16
    | ~ spl15_17 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s9,plain,
    ( ~ spl15_8
    | ~ spl15_17
    | ~ spl15_20 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s11,plain,
    ( ~ spl15_13
    | ~ spl15_19
    | ~ spl15_24 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s13,plain,
    ( ~ spl15_7
    | ~ spl15_16
    | ~ spl15_27 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s15,plain,
    ( ~ spl15_2
    | ~ spl15_20
    | ~ spl15_27 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s17,plain,
    ( ~ spl15_15
    | ~ spl15_29
    | ~ spl15_32 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s19,plain,
    ( ~ spl15_12
    | ~ spl15_18
    | ~ spl15_34 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s21,plain,
    ( ~ spl15_5
    | ~ spl15_24
    | ~ spl15_34 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s23,plain,
    ( ~ spl15_10
    | ~ spl15_32
    | ~ spl15_35 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s25,plain,
    ( ~ spl15_23
    | spl15_37 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s26,plain,
    ( ~ spl15_31
    | spl15_38 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s27,plain,
    ( ~ spl15_36
    | spl15_39 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s28,plain,
    ( ~ spl15_11
    | spl15_40 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s29,plain,
    ( ~ spl15_29
    | spl15_41 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s30,plain,
    ( ~ spl15_35
    | spl15_42 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s31,plain,
    ( ~ spl15_6
    | spl15_43 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s32,plain,
    ( ~ spl15_19
    | spl15_44 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s33,plain,
    ( ~ spl15_34
    | spl15_45 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s34,plain,
    ( ~ spl15_3
    | spl15_46 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s35,plain,
    ( ~ spl15_17
    | spl15_47 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s36,plain,
    ( ~ spl15_27
    | spl15_48 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s37,plain,
    ( spl15_49
    | spl15_50
    | spl15_51
    | spl15_52 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s38,plain,
    ( ~ spl15_36
    | ~ spl15_39
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s39,plain,
    ( ~ spl15_35
    | ~ spl15_42
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s40,plain,
    ( ~ spl15_34
    | ~ spl15_45
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s41,plain,
    ( ~ spl15_52
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s42,plain,
    ( spl15_52
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s43,plain,
    ( ~ spl15_49
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s44,plain,
    ( ~ spl15_11
    | ~ spl15_40
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s45,plain,
    ( ~ spl15_6
    | ~ spl15_43
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s46,plain,
    ( ~ spl15_3
    | ~ spl15_46
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s47,plain,
    ( spl15_49
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s48,plain,
    ( ~ spl15_49
    | ~ spl15_54 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s49,plain,
    ( ~ spl15_11
    | ~ spl15_40
    | ~ spl15_54 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s50,plain,
    ( ~ spl15_6
    | ~ spl15_43
    | ~ spl15_54 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s51,plain,
    ( ~ spl15_3
    | ~ spl15_46
    | ~ spl15_54 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s52,plain,
    ( ~ spl15_54
    | spl15_68 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s53,plain,
    ( ~ spl15_49
    | spl15_55 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s54,plain,
    ( ~ spl15_11
    | ~ spl15_40
    | spl15_55 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s55,plain,
    ( ~ spl15_6
    | ~ spl15_43
    | spl15_55 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s56,plain,
    ( ~ spl15_3
    | ~ spl15_46
    | spl15_55 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s57,plain,
    ( spl15_55
    | spl15_69 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s58,plain,
    ( ~ spl15_49
    | spl15_56 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s59,plain,
    ( ~ spl15_11
    | ~ spl15_40
    | spl15_56 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s60,plain,
    ( ~ spl15_6
    | ~ spl15_43
    | spl15_56 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s61,plain,
    ( ~ spl15_3
    | ~ spl15_46
    | spl15_56 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s62,plain,
    ( spl15_56
    | spl15_70 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s63,plain,
    ( ~ spl15_23
    | ~ spl15_37
    | ~ spl15_57 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s64,plain,
    ( ~ spl15_50
    | ~ spl15_57 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s65,plain,
    ( ~ spl15_19
    | ~ spl15_44
    | ~ spl15_57 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s66,plain,
    ( ~ spl15_17
    | ~ spl15_47
    | ~ spl15_57 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s67,plain,
    ( ~ spl15_57
    | spl15_71 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s68,plain,
    ( ~ spl15_23
    | ~ spl15_37
    | spl15_58 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s69,plain,
    ( ~ spl15_50
    | spl15_58 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s70,plain,
    ( ~ spl15_19
    | ~ spl15_44
    | spl15_58 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s71,plain,
    ( ~ spl15_17
    | ~ spl15_47
    | spl15_58 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s72,plain,
    ( spl15_50
    | spl15_58 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s73,plain,
    ( ~ spl15_23
    | ~ spl15_37
    | spl15_59 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s74,plain,
    ( ~ spl15_50
    | spl15_59 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s75,plain,
    ( ~ spl15_19
    | ~ spl15_44
    | spl15_59 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s76,plain,
    ( ~ spl15_17
    | ~ spl15_47
    | spl15_59 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s77,plain,
    ( spl15_59
    | spl15_72 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s78,plain,
    ( ~ spl15_23
    | ~ spl15_37
    | ~ spl15_60 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s79,plain,
    ( ~ spl15_50
    | ~ spl15_60 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s80,plain,
    ( ~ spl15_19
    | ~ spl15_44
    | ~ spl15_60 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s81,plain,
    ( ~ spl15_17
    | ~ spl15_47
    | ~ spl15_60 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s82,plain,
    ( ~ spl15_60
    | spl15_73 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s83,plain,
    ( ~ spl15_31
    | ~ spl15_38
    | spl15_61 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s84,plain,
    ( ~ spl15_29
    | ~ spl15_41
    | spl15_61 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s85,plain,
    ( ~ spl15_51
    | spl15_61 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s86,plain,
    ( ~ spl15_27
    | ~ spl15_48
    | spl15_61 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s87,plain,
    ( spl15_61
    | spl15_74 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s88,plain,
    ( ~ spl15_31
    | ~ spl15_38
    | spl15_62 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s89,plain,
    ( ~ spl15_29
    | ~ spl15_41
    | spl15_62 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s90,plain,
    ( ~ spl15_51
    | spl15_62 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s91,plain,
    ( ~ spl15_27
    | ~ spl15_48
    | spl15_62 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s92,plain,
    ( spl15_62
    | spl15_75 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s94,plain,
    ( ~ spl15_29
    | ~ spl15_41
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s95,plain,
    ( ~ spl15_51
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s96,plain,
    ( ~ spl15_27
    | ~ spl15_48
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s97,plain,
    ( spl15_51
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s99,plain,
    ( ~ spl15_29
    | ~ spl15_41
    | spl15_64 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s100,plain,
    ( ~ spl15_51
    | spl15_64 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s101,plain,
    ( ~ spl15_27
    | ~ spl15_48
    | spl15_64 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s102,plain,
    ( spl15_64
    | spl15_76 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s103,plain,
    ( ~ spl15_36
    | ~ spl15_39
    | ~ spl15_65 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s104,plain,
    ( ~ spl15_35
    | ~ spl15_42
    | ~ spl15_65 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s105,plain,
    ( ~ spl15_34
    | ~ spl15_45
    | ~ spl15_65 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s106,plain,
    ( ~ spl15_52
    | ~ spl15_65 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s107,plain,
    ( ~ spl15_65
    | spl15_77 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s108,plain,
    ( ~ spl15_36
    | ~ spl15_39
    | ~ spl15_66 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s109,plain,
    ( ~ spl15_35
    | ~ spl15_42
    | ~ spl15_66 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s110,plain,
    ( ~ spl15_34
    | ~ spl15_45
    | ~ spl15_66 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s111,plain,
    ( ~ spl15_52
    | ~ spl15_66 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s112,plain,
    ( ~ spl15_66
    | spl15_78 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s113,plain,
    ( ~ spl15_36
    | ~ spl15_39
    | spl15_67 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s114,plain,
    ( ~ spl15_35
    | ~ spl15_42
    | spl15_67 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s115,plain,
    ( ~ spl15_34
    | ~ spl15_45
    | spl15_67 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s116,plain,
    ( ~ spl15_52
    | spl15_67 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s117,plain,
    ( spl15_67
    | spl15_79 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s118,plain,
    ( spl15_49
    | spl15_71
    | spl15_74
    | spl15_77 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s119,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_49 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s120,plain,
    ( spl15_23
    | spl15_40
    | spl15_80
    | spl15_81 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s121,plain,
    ( spl15_23
    | spl15_68
    | spl15_82
    | spl15_83 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s122,plain,
    ( spl15_31
    | spl15_43
    | spl15_84
    | spl15_85 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s123,plain,
    ( spl15_31
    | spl15_69
    | spl15_86
    | spl15_87 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s124,plain,
    ( spl15_36
    | spl15_46
    | spl15_88
    | spl15_89 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s125,plain,
    ( spl15_36
    | spl15_70
    | spl15_90
    | spl15_91 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s126,plain,
    ( spl15_11
    | spl15_37
    | spl15_92
    | spl15_93 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s127,plain,
    ( spl15_11
    | spl15_71
    | spl15_94
    | spl15_95 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s128,plain,
    ( spl15_50
    | spl15_68
    | spl15_75
    | spl15_78 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s129,plain,
    ( spl15_40
    | spl15_41
    | spl15_42
    | spl15_50 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s130,plain,
    ( spl15_29
    | spl15_44
    | spl15_86
    | spl15_96 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s131,plain,
    ( spl15_29
    | spl15_72
    | spl15_84
    | spl15_97 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s132,plain,
    ( spl15_35
    | spl15_47
    | spl15_90
    | spl15_98 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s133,plain,
    ( spl15_35
    | spl15_73
    | spl15_88
    | spl15_99 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s134,plain,
    ( spl15_6
    | spl15_38
    | spl15_94
    | spl15_100 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s135,plain,
    ( spl15_6
    | spl15_74
    | spl15_92
    | spl15_101 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s136,plain,
    ( spl15_19
    | spl15_41
    | spl15_82
    | spl15_102 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s137,plain,
    ( spl15_19
    | spl15_75
    | spl15_80
    | spl15_103 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s138,plain,
    ( spl15_51
    | spl15_69
    | spl15_72
    | spl15_79 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s139,plain,
    ( spl15_43
    | spl15_44
    | spl15_45
    | spl15_51 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s140,plain,
    ( spl15_34
    | spl15_48
    | spl15_91
    | spl15_99 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s141,plain,
    ( spl15_34
    | spl15_76
    | spl15_89
    | spl15_98 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s142,plain,
    ( spl15_3
    | spl15_39
    | spl15_95
    | spl15_101 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s143,plain,
    ( spl15_3
    | spl15_77
    | spl15_93
    | spl15_100 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s144,plain,
    ( spl15_17
    | spl15_42
    | spl15_83
    | spl15_103 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s145,plain,
    ( spl15_17
    | spl15_78
    | spl15_81
    | spl15_102 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s146,plain,
    ( spl15_27
    | spl15_45
    | spl15_87
    | spl15_97 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s147,plain,
    ( spl15_27
    | spl15_79
    | spl15_85
    | spl15_96 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s148,plain,
    ( spl15_52
    | spl15_70
    | spl15_73
    | spl15_76 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s150,plain,
    ( spl15_23
    | spl15_31
    | spl15_36
    | spl15_49 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s153,plain,
    ( spl15_39
    | spl15_70
    | spl15_83
    | spl15_87 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s155,plain,
    ( spl15_11
    | spl15_29
    | spl15_35
    | spl15_50 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s157,plain,
    ( spl15_42
    | spl15_73
    | spl15_95
    | spl15_97 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s158,plain,
    ( spl15_43
    | spl15_74
    | spl15_80
    | spl15_89 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s159,plain,
    ( spl15_44
    | spl15_75
    | spl15_92
    | spl15_98 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s160,plain,
    ( spl15_6
    | spl15_19
    | spl15_34
    | spl15_51 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s161,plain,
    ( spl15_45
    | spl15_76
    | spl15_101
    | spl15_103 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s162,plain,
    ( spl15_46
    | spl15_77
    | spl15_81
    | spl15_85 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s163,plain,
    ( spl15_47
    | spl15_78
    | spl15_93
    | spl15_96 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s165,plain,
    ( spl15_3
    | spl15_17
    | spl15_27
    | spl15_52 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s166,plain,
    ( ~ spl15_17
    | ~ spl15_27 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s167,plain,
    ( ~ spl15_19
    | ~ spl15_34 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s169,plain,
    ( ~ spl15_37
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s171,plain,
    ( ~ spl15_37
    | spl15_43
    | ~ spl15_44
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s176,plain,
    ( ~ spl15_39
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s177,plain,
    ( ~ spl15_39
    | spl15_52
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s183,plain,
    ( spl15_37
    | ~ spl15_39
    | ~ spl15_47
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s184,plain,
    ( ~ spl15_40
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s192,plain,
    ( ~ spl15_46
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s193,plain,
    ( ~ spl15_46
    | spl15_52
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s202,plain,
    ( ~ spl15_70
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s209,plain,
    ( ~ spl15_44
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s231,plain,
    ( ~ spl15_47
    | ~ spl15_47
    | spl15_90
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f1229]) ).

cnf(s232,plain,
    ( ~ spl15_47
    | spl15_90
    | ~ spl15_93 ),
    inference(rat,[],[s231]) ).

cnf(s247,plain,
    ( ~ spl15_35
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f1270]) ).

cnf(s253,plain,
    ( ~ spl15_35
    | ~ spl15_50
    | spl15_52 ),
    inference(sat_conversion,[],[f1276]) ).

cnf(s257,plain,
    ( ~ spl15_42
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s261,plain,
    ( ~ spl15_42
    | spl15_52
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s265,plain,
    ( ~ spl15_35
    | ~ spl15_42
    | spl15_52
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f1311]) ).

cnf(s267,plain,
    ( ~ spl15_34
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s274,plain,
    ( ~ spl15_34
    | ~ spl15_51
    | spl15_52 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s280,plain,
    ( ~ spl15_34
    | ~ spl15_38
    | spl15_39
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f1355]) ).

cnf(s282,plain,
    ( ~ spl15_42
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1394]) ).

cnf(s286,plain,
    ( ~ spl15_42
    | ~ spl15_42
    | spl15_83
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s287,plain,
    ( ~ spl15_42
    | spl15_83
    | ~ spl15_95 ),
    inference(rat,[],[s286]) ).

cnf(s300,plain,
    ( ~ spl15_73
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s316,plain,
    ( ~ spl15_44
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s331,plain,
    ( ~ spl15_68
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s341,plain,
    ( ~ spl15_93
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f1592]) ).

cnf(s359,plain,
    ( ~ spl15_29
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s373,plain,
    ( ~ spl15_41
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s375,plain,
    ( ~ spl15_41
    | ~ spl15_72
    | ~ spl15_95
    | spl15_101 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s387,plain,
    ( ~ spl15_68
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f1731]) ).

cnf(s391,plain,
    ( ~ spl15_68
    | spl15_69
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s401,plain,
    ( ~ spl15_41
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s410,plain,
    ( ~ spl15_40
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f1835]) ).

cnf(s418,plain,
    ( ~ spl15_41
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s428,plain,
    ( ~ spl15_38
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s440,plain,
    ( spl15_23
    | ~ spl15_38
    | ~ spl15_50
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f1940]) ).

cnf(s441,plain,
    ( ~ spl15_23
    | ~ spl15_31 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s455,plain,
    ( ~ spl15_3
    | ~ spl15_27 ),
    inference(sat_conversion,[],[f2015]) ).

cnf(s467,plain,
    ( ~ spl15_72
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s468,plain,
    ( ~ spl15_45
    | ~ spl15_72
    | spl15_87
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f2071]) ).

cnf(s485,plain,
    ( ~ spl15_48
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f2111]) ).

cnf(s487,plain,
    ( ~ spl15_48
    | spl15_52
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f2113]) ).

cnf(s496,plain,
    ( ~ spl15_74
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f2158]) ).

cnf(s497,plain,
    ( ~ spl15_47
    | ~ spl15_74
    | ~ spl15_89
    | spl15_90 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s514,plain,
    ( ~ spl15_45
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f2198]) ).

cnf(s516,plain,
    ( ~ spl15_45
    | spl15_52
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f2200]) ).

cnf(s519,plain,
    ( ~ spl15_45
    | ~ spl15_51
    | spl15_52
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f2203]) ).

cnf(s524,plain,
    ( ~ spl15_38
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f2245]) ).

cnf(s536,plain,
    ( ~ spl15_38
    | ~ spl15_46
    | spl15_52
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f2257]) ).

cnf(s541,plain,
    ( ~ spl15_73
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f2297]) ).

cnf(s551,plain,
    ( ~ spl15_48
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2345]) ).

cnf(s552,plain,
    ( ~ spl15_48
    | ~ spl15_48
    | spl15_91
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2346]) ).

cnf(s553,plain,
    ( ~ spl15_48
    | spl15_91
    | ~ spl15_100 ),
    inference(rat,[],[s552]) ).

cnf(s556,plain,
    ( ~ spl15_48
    | ~ spl15_73
    | spl15_88
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2349]) ).

cnf(s558,plain,
    ( ~ spl15_27
    | ~ spl15_48
    | spl15_85
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2351]) ).

cnf(s567,plain,
    ( ~ spl15_76
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2402]) ).

cnf(s584,plain,
    ( ~ spl15_48
    | ~ spl15_48
    | spl15_99
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2454]) ).

cnf(s585,plain,
    ( ~ spl15_48
    | spl15_99
    | ~ spl15_102 ),
    inference(rat,[],[s584]) ).

cnf(s598,plain,
    ( ~ spl15_27
    | spl15_29
    | ~ spl15_48
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2466]) ).

cnf(s600,plain,
    ( ~ spl15_45
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2505]) ).

cnf(s602,plain,
    ( ~ spl15_45
    | ~ spl15_45
    | spl15_87
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2507]) ).

cnf(s603,plain,
    ( ~ spl15_45
    | spl15_87
    | ~ spl15_101 ),
    inference(rat,[],[s602]) ).

cnf(s619,plain,
    ( ~ spl15_3
    | ~ spl15_17 ),
    inference(sat_conversion,[],[f2550]) ).

cnf(s624,plain,
    ( ~ spl15_43
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f2583]) ).

cnf(s633,plain,
    ( ~ spl15_3
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s647,plain,
    ( ~ spl15_47
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f2682]) ).

cnf(s661,plain,
    ( ~ spl15_17
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f2729]) ).

cnf(s671,plain,
    ( ~ spl15_52
    | spl15_42
    | ~ spl15_17
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f2738]) ).

cnf(s672,plain,
    ( ~ spl15_17
    | spl15_42
    | ~ spl15_52 ),
    inference(rat,[],[s671]) ).

cnf(s678,plain,
    ( ~ spl15_46
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f2778]) ).

cnf(s712,plain,
    ( ~ spl15_43
    | spl15_51
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f2873]) ).

cnf(s720,plain,
    ( ~ spl15_77
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f2911]) ).

cnf(s732,plain,
    ( ~ spl15_39
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f2959]) ).

cnf(s744,plain,
    ( ~ spl15_23
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f2998]) ).

cnf(s756,plain,
    ( ~ spl15_11
    | ~ spl15_35 ),
    inference(sat_conversion,[],[f3037]) ).

cnf(s764,plain,
    ( ~ spl15_43
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f3084]) ).

cnf(s778,plain,
    ( ~ spl15_74
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f3129]) ).

cnf(s793,plain,
    ( ~ spl15_71
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f3179]) ).

cnf(s794,plain,
    ( ~ spl15_44
    | ~ spl15_71
    | ~ spl15_84
    | spl15_86 ),
    inference(sat_conversion,[],[f3180]) ).

cnf(s797,plain,
    ( spl15_19
    | ~ spl15_71
    | ~ spl15_80
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f3183]) ).

cnf(s808,plain,
    ( ~ spl15_46
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f3222]) ).

cnf(s816,plain,
    ( spl15_45
    | ~ spl15_46
    | ~ spl15_52
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f3230]) ).

cnf(s822,plain,
    ( ~ spl15_27
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f3261]) ).

cnf(s836,plain,
    ( ~ spl15_31
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f3303]) ).

cnf(s846,plain,
    ( ~ spl15_38
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f3336]) ).

cnf(s847,plain,
    ( ~ spl15_38
    | ~ spl15_44
    | ~ spl15_69
    | spl15_86 ),
    inference(sat_conversion,[],[f3337]) ).

cnf(s854,plain,
    ( ~ spl15_38
    | spl15_40
    | ~ spl15_41
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f3344]) ).

cnf(s856,plain,
    ( ~ spl15_70
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f3382]) ).

cnf(s860,plain,
    ( ~ spl15_52
    | ~ spl15_70
    | spl15_76
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f3386]) ).

cnf(s862,plain,
    ( ~ spl15_70
    | spl15_69
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f3388]) ).

cnf(s863,plain,
    ( spl15_69
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(rat,[],[s862]) ).

cnf(s870,plain,
    ( ~ spl15_80
    | ~ spl15_89
    | spl15_92
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f3428]) ).

cnf(s877,plain,
    ( ~ spl15_71
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f3481]) ).

cnf(s893,plain,
    ( ~ spl15_23
    | ~ spl15_36 ),
    inference(sat_conversion,[],[f3527]) ).

cnf(s901,plain,
    ( ~ spl15_23
    | ~ spl15_36
    | spl15_47
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f3535]) ).

cnf(s904,plain,
    ( ~ spl15_69
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f3573]) ).

cnf(s917,plain,
    ( ~ spl15_37
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f3620]) ).

cnf(s935,plain,
    ( ~ spl15_77
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f3677]) ).

cnf(s949,plain,
    ( ~ spl15_84
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f3719]) ).

cnf(s957,plain,
    ( ~ spl15_6
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f3756]) ).

cnf(s972,plain,
    ( ~ spl15_39
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f3807]) ).

cnf(s978,plain,
    ( ~ spl15_39
    | spl15_70
    | ~ spl15_76
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f3813]) ).

cnf(s982,plain,
    ( ~ spl15_37
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f3848]) ).

cnf(s990,plain,
    ( ~ spl15_95
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f3905]) ).

cnf(s1000,plain,
    ( ~ spl15_72
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f3948]) ).

cnf(s1001,plain,
    ( ~ spl15_72
    | spl15_73
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f3949]) ).

cnf(s1012,plain,
    ( ~ spl15_79
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f3995]) ).

cnf(s1017,plain,
    ( ~ spl15_79
    | ~ spl15_79
    | spl15_85
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f4000]) ).

cnf(s1018,plain,
    ( ~ spl15_79
    | spl15_85
    | ~ spl15_100 ),
    inference(rat,[],[s1017]) ).

cnf(s1026,plain,
    ( ~ spl15_79
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f4045]) ).

cnf(s1045,plain,
    ( ~ spl15_47
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f4096]) ).

cnf(s1056,plain,
    ( ~ spl15_44
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f4140]) ).

cnf(s1073,plain,
    ( ~ spl15_82
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f4193]) ).

cnf(s1084,plain,
    ( ~ spl15_11
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f4230]) ).

cnf(s1093,plain,
    ( ~ spl15_69
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f4272]) ).

cnf(s1100,plain,
    ( ~ spl15_45
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f4337]) ).

cnf(s1108,plain,
    ( ~ spl15_45
    | spl15_42
    | ~ spl15_45
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f4345]) ).

cnf(s1109,plain,
    ( spl15_42
    | ~ spl15_45
    | ~ spl15_103 ),
    inference(rat,[],[s1108]) ).

cnf(s1110,plain,
    ( ~ spl15_42
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f4385]) ).

cnf(s1116,plain,
    ( ~ spl15_42
    | spl15_69
    | ~ spl15_86
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f4391]) ).

cnf(s1119,plain,
    ( ~ spl15_75
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f4424]) ).

cnf(s1132,plain,
    ( ~ spl15_6
    | spl15_12
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f4494]) ).

cnf(s1134,plain,
    ( ~ spl15_12
    | spl15_13
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f4521]) ).

cnf(s1136,plain,
    ( spl15_9
    | ~ spl15_11
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f4522]) ).

cnf(s1137,plain,
    ( ~ spl15_3
    | spl15_7
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f4523]) ).

cnf(s1138,plain,
    ( ~ spl15_69
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f4524]) ).

cnf(s1139,plain,
    ( ~ spl15_43
    | ~ spl15_44 ),
    inference(sat_conversion,[],[f4525]) ).

cnf(s1140,plain,
    ( ~ spl15_44
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f4526]) ).

cnf(s1145,plain,
    ( ~ spl15_82
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f4530]) ).

cnf(s1146,plain,
    ( ~ spl15_39
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f4531]) ).

cnf(s1147,plain,
    ( ~ spl15_70
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f4532]) ).

cnf(s1148,plain,
    ( spl15_7
    | ~ spl15_27
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f4542]) ).

cnf(s1149,plain,
    ( ~ spl15_14
    | spl15_29
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f4557]) ).

cnf(s1151,plain,
    ( ~ spl15_50
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f4559]) ).

cnf(s1152,plain,
    ( ~ spl15_11
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f4560]) ).

cnf(s1153,plain,
    ( ~ spl15_11
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f4561]) ).

cnf(s1154,plain,
    ( ~ spl15_40
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f4562]) ).

cnf(s1155,plain,
    ( ~ spl15_40
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f4563]) ).

cnf(s1156,plain,
    ( ~ spl15_46
    | ~ spl15_48 ),
    inference(sat_conversion,[],[f4564]) ).

cnf(s1157,plain,
    ( ~ spl15_6
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f4565]) ).

cnf(s1158,plain,
    ( spl15_20
    | ~ spl15_27
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f4566]) ).

cnf(s1159,plain,
    ( ~ spl15_70
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f4567]) ).

cnf(s1161,plain,
    ( ~ spl15_76
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f4568]) ).

cnf(s1162,plain,
    ( ~ spl15_75
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f4595]) ).

cnf(s1163,plain,
    ( ~ spl15_75
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f4596]) ).

cnf(s1164,plain,
    ( ~ spl15_29
    | spl15_32
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f4597]) ).

cnf(s1173,plain,
    ( ~ spl15_76
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f4665]) ).

cnf(s1176,plain,
    ( ~ spl15_76
    | spl15_75
    | ~ spl15_76
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f4668]) ).

cnf(s1177,plain,
    ( spl15_75
    | ~ spl15_76
    | ~ spl15_103 ),
    inference(rat,[],[s1176]) ).

cnf(s1179,plain,
    ( ~ spl15_68
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f4675]) ).

cnf(s1180,plain,
    ( ~ spl15_11
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f4676]) ).

cnf(s1182,plain,
    ( ~ spl15_11
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f4677]) ).

cnf(s1185,plain,
    ( ~ spl15_40
    | ~ spl15_41 ),
    inference(sat_conversion,[],[f4678]) ).

cnf(s1186,plain,
    ( ~ spl15_73
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f4679]) ).

cnf(s1187,plain,
    ( ~ spl15_48
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f4680]) ).

cnf(s1188,plain,
    ( ~ spl15_49
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f4681]) ).

cnf(s1189,plain,
    ( spl15_1
    | ~ spl15_3
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f4682]) ).

cnf(s1191,plain,
    ( ~ spl15_49
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f4683]) ).

cnf(s1192,plain,
    ( ~ spl15_38
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f4684]) ).

cnf(s1193,plain,
    ( ~ spl15_44
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f4717]) ).

cnf(s1195,plain,
    ( ~ spl15_69
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f4718]) ).

cnf(s1198,plain,
    ( spl15_4
    | ~ spl15_19
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f4720]) ).

cnf(s1199,plain,
    ( ~ spl15_23
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f4737]) ).

cnf(s1200,plain,
    ( ~ spl15_7
    | spl15_8
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f4827]) ).

cnf(s1201,plain,
    ( ~ spl15_7
    | ~ spl15_17
    | spl15_42 ),
    inference(sat_conversion,[],[f4828]) ).

cnf(s1205,plain,
    ( ~ spl15_1
    | spl15_16
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f4860]) ).

cnf(s1206,plain,
    ( spl15_1
    | ~ spl15_17
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f4862]) ).

cnf(s1207,plain,
    ( ~ spl15_4
    | ~ spl15_19
    | spl15_99 ),
    inference(sat_conversion,[],[f4863]) ).

cnf(s1208,plain,
    ( ~ spl15_17
    | spl15_20
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f4864]) ).

cnf(s1210,plain,
    ( spl15_8
    | ~ spl15_20
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f4866]) ).

cnf(s1213,plain,
    ( ~ spl15_51
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f4867]) ).

cnf(s1219,plain,
    ( ~ spl15_19
    | spl15_24
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f4868]) ).

cnf(s1221,plain,
    ( ~ spl15_44
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f4870]) ).

cnf(s1222,plain,
    ( spl15_7
    | ~ spl15_17
    | ~ spl15_42 ),
    inference(sat_conversion,[],[f4871]) ).

cnf(s1224,plain,
    ( ~ spl15_47
    | ~ spl15_48 ),
    inference(sat_conversion,[],[f4872]) ).

cnf(s1226,plain,
    ( ~ spl15_50
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f4873]) ).

cnf(s1231,plain,
    ( ~ spl15_34
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f4874]) ).

cnf(s1233,plain,
    ( ~ spl15_9
    | spl15_10
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f4876]) ).

cnf(s1242,plain,
    ( ~ spl15_43
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f4877]) ).

cnf(s1243,plain,
    ( ~ spl15_43
    | ~ spl15_45 ),
    inference(sat_conversion,[],[f4878]) ).

cnf(s1244,plain,
    ( ~ spl15_43
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f4879]) ).

cnf(s1245,plain,
    ( ~ spl15_46
    | ~ spl15_47 ),
    inference(sat_conversion,[],[f4880]) ).

cnf(s1246,plain,
    ( ~ spl15_3
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f4881]) ).

cnf(s1247,plain,
    ( ~ spl15_86
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f4882]) ).

cnf(s1248,plain,
    ( ~ spl15_3
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f4883]) ).

cnf(s1250,plain,
    ( ~ spl15_29
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f4884]) ).

cnf(s1251,plain,
    ( ~ spl15_29
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f4885]) ).

cnf(s1252,plain,
    ( spl15_10
    | ~ spl15_32
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f4886]) ).

cnf(s1253,plain,
    ( ~ spl15_68
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f4887]) ).

cnf(s1255,plain,
    ( ~ spl15_74
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f4952]) ).

cnf(s1256,plain,
    ( ~ spl15_7
    | spl15_16
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f5002]) ).

cnf(s1257,plain,
    ( ~ spl15_71
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f5003]) ).

cnf(s1258,plain,
    ( ~ spl15_71
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f5004]) ).

cnf(s1259,plain,
    ( ~ spl15_89
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f5005]) ).

cnf(s1260,plain,
    ( spl15_2
    | ~ spl15_7
    | ~ spl15_42 ),
    inference(sat_conversion,[],[f5006]) ).

cnf(s1261,plain,
    ( ~ spl15_41
    | ~ spl15_42 ),
    inference(sat_conversion,[],[f5007]) ).

cnf(s1265,plain,
    ( ~ spl15_38
    | ~ spl15_39 ),
    inference(sat_conversion,[],[f5009]) ).

cnf(s1268,plain,
    ( ~ spl15_27
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f5010]) ).

cnf(s1270,plain,
    ( ~ spl15_31
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f5011]) ).

cnf(s1271,plain,
    ( spl15_2
    | ~ spl15_20
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f5012]) ).

cnf(s1273,plain,
    ( ~ spl15_88
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f5013]) ).

cnf(s1274,plain,
    ( ~ spl15_95
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f5014]) ).

cnf(s1275,plain,
    ( ~ spl15_77
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f5023]) ).

cnf(s1277,plain,
    ( spl15_6
    | ~ spl15_24
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f5086]) ).

cnf(s1278,plain,
    ( spl15_15
    | ~ spl15_32
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f5093]) ).

cnf(s1283,plain,
    ( ~ spl15_68
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f5095]) ).

cnf(s1284,plain,
    ( ~ spl15_68
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f5096]) ).

cnf(s1293,plain,
    ( ~ spl15_75
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f5097]) ).

cnf(s1294,plain,
    ( ~ spl15_1
    | spl15_8
    | ~ spl15_45 ),
    inference(sat_conversion,[],[f5098]) ).

cnf(s1295,plain,
    ( ~ spl15_1
    | spl15_2
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f5099]) ).

cnf(s1296,plain,
    ( spl15_4
    | ~ spl15_6
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f5100]) ).

cnf(s1303,plain,
    ( ~ spl15_40
    | ~ spl15_42 ),
    inference(sat_conversion,[],[f5101]) ).

cnf(s1304,plain,
    ( ~ spl15_40
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f5102]) ).

cnf(s1308,plain,
    ( spl15_13
    | ~ spl15_24
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f5103]) ).

cnf(s1309,plain,
    ( ~ spl15_37
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f5104]) ).

cnf(s1310,plain,
    ( ~ spl15_78
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f5105]) ).

cnf(s1312,plain,
    ( ~ spl15_78
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f5106]) ).

cnf(s1313,plain,
    ( ~ spl15_81
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f5107]) ).

cnf(s1314,plain,
    ( ~ spl15_42
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f5108]) ).

cnf(s1315,plain,
    ( ~ spl15_83
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f5109]) ).

cnf(s1316,plain,
    ( ~ spl15_85
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f5110]) ).

cnf(s1318,plain,
    ( ~ spl15_92
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f5111]) ).

cnf(s1319,plain,
    ( ~ spl15_49
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f5112]) ).

cnf(s1320,plain,
    ( ~ spl15_37
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f5113]) ).

cnf(s1330,plain,
    ( ~ spl15_47
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f5116]) ).

cnf(s1334,plain,
    ( ~ spl15_86
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f5117]) ).

cnf(s1335,plain,
    ( ~ spl15_90
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f5118]) ).

cnf(s1336,plain,
    ( ~ spl15_47
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f5119]) ).

cnf(s1345,plain,
    ( ~ spl15_77
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f5120]) ).

cnf(s1347,plain,
    ( spl15_12
    | ~ spl15_34
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f5129]) ).

cnf(s1349,plain,
    ( spl15_14
    | ~ spl15_35
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f5236]) ).

cnf(s1351,plain,
    ( ~ spl15_25
    | ~ spl15_36
    | spl15_85 ),
    inference(sat_conversion,[],[f5247]) ).

cnf(s1353,plain,
    ( spl15_1
    | ~ spl15_8
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f5259]) ).

cnf(s1354,plain,
    ( ~ spl15_10
    | ~ spl15_14
    | spl15_44 ),
    inference(sat_conversion,[],[f5266]) ).

cnf(s1355,plain,
    ( ~ spl15_12
    | spl15_18
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f5273]) ).

cnf(s1356,plain,
    ( ~ spl15_4
    | spl15_5
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f5274]) ).

cnf(s1358,plain,
    ( ~ spl15_71
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f5275]) ).

cnf(s1359,plain,
    ( ~ spl15_71
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f5276]) ).

cnf(s1365,plain,
    ( ~ spl15_35
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f5278]) ).

cnf(s1366,plain,
    ( ~ spl15_93
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f5279]) ).

cnf(s1367,plain,
    ( ~ spl15_12
    | ~ spl15_34
    | spl15_102 ),
    inference(sat_conversion,[],[f5280]) ).

cnf(s1368,plain,
    ( spl15_24
    | ~ spl15_34
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f5281]) ).

cnf(s1369,plain,
    ( ~ spl15_92
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f5282]) ).

cnf(s1371,plain,
    ( spl15_32
    | ~ spl15_35
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f5283]) ).

cnf(s1372,plain,
    ( ~ spl15_36
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f5284]) ).

cnf(s1373,plain,
    ( spl15_25
    | ~ spl15_36
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f5285]) ).

cnf(s1374,plain,
    ( spl15_5
    | ~ spl15_24
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f5286]) ).

cnf(s1375,plain,
    ( ~ spl15_49
    | ~ spl15_50
    | ~ spl15_51
    | ~ spl15_52 ),
    inference(rat,[],[s41,s43,s48,s58,s116,s111,s106,s100,s95,s90,s85,s57,s1213,s79,s74,s69,s64]) ).

cnf(s1376,plain,
    ( ~ spl15_50
    | ~ spl15_51
    | spl15_31
    | ~ spl15_52
    | spl15_23 ),
    inference(rat,[],[s52,s38,s387,s62,s123,s176,s972,s27,s150,s47,s1375,s64,s69,s74,s79,s116,s111,s106,s100,s95,s90,s85,s57,s1213]) ).

cnf(s1377,plain,
    ( ~ spl15_51
    | spl15_32
    | spl15_31
    | spl15_29
    | ~ spl15_52
    | spl15_27
    | spl15_25
    | spl15_23
    | spl15_14
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s77,s467,s38,s127,s67,s793,s122,s1373,s62,s150,s47,s176,s1146,s142,s603,s52,s82,s146,s1334,s1179,s257,s287,s1116,s1314,s130,s163,s30,s1349,s1371,s155,s72,s1376,s57,s85,s90,s95,s100,s1213,s1221,s1242,s1330,s116,s111,s106]) ).

cnf(s1378,plain,
    ( ~ spl15_50
    | spl15_101
    | spl15_103
    | spl15_102
    | spl15_100
    | spl15_19
    | spl15_17
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1369,s143,s135,s720,s778,s145,s137,s1151,s1226]) ).

cnf(s1379,plain,
    ( spl15_32
    | spl15_31
    | spl15_29
    | spl15_27
    | spl15_25
    | spl15_24
    | spl15_23
    | spl15_19
    | spl15_17
    | spl15_14
    | spl15_12
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s40,s87,s77,s62,s57,s778,s467,s176,s1093,s92,s52,s120,s47,s127,s67,s82,s142,s136,s1162,s1179,s720,s1188,s1359,s257,s287,s1261,s1303,s1314,s163,s143,s30,s1349,s1371,s155,s72,s1378,s102,s514,s600,s1100,s33,s1347,s1368,s160,s97,s1377,s1330,s116,s111,s106,s165]) ).

cnf(s1380,plain,
    ( ~ spl15_44
    | spl15_19
    | spl15_6 ),
    inference(rat,[],[s778,s135,s137,s600,s1100,s33,s160,s209,s1056,s1221]) ).

cnf(s1381,plain,
    ( spl15_70
    | spl15_36
    | spl15_91
    | spl15_53
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | ~ spl15_51
    | ~ spl15_52 ),
    inference(rat,[],[s52,s41,s331,s62,s125,s116,s111,s106,s100,s95,s90,s85,s57,s1213]) ).

cnf(s1382,plain,
    ( ~ spl15_50
    | ~ spl15_51
    | spl15_29
    | spl15_27
    | spl15_23
    | spl15_44
    | spl15_17
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s144,s1109,s146,s282,s990,s142,s1318,s126,s341,s130,s169,s391,s121,s202,s863,s1381,s27,s440,s524,s1265,s26,s47,s1376,s1375,s64,s69,s74,s79,s165,s1213]) ).

cnf(s1383,plain,
    ( ~ spl15_51
    | spl15_29
    | spl15_27
    | spl15_25
    | spl15_23
    | spl15_44
    | spl15_17
    | spl15_14
    | spl15_11
    | spl15_10
    | spl15_3 ),
    inference(rat,[],[s26,s428,s1377,s121,s1252,s387,s1314,s130,s30,s1349,s155,s1382,s165]) ).

cnf(s1384,plain,
    ( spl15_29
    | spl15_27
    | spl15_25
    | spl15_24
    | spl15_23
    | spl15_19
    | spl15_17
    | spl15_14
    | spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s26,s428,s1379,s136,s1252,s1261,s130,s30,s1349,s155,s1378,s600,s1100,s33,s1347,s1368,s160,s1383,s1380]) ).

cnf(s1385,plain,
    ( ~ spl15_31
    | spl15_34
    | spl15_99
    | spl15_96
    | spl15_27 ),
    inference(rat,[],[s140,s485,s524,s147,s26,s1270]) ).

cnf(s1386,plain,
    ( ~ spl15_87
    | spl15_31
    | ~ spl15_55
    | ~ spl15_59
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_94
    | ~ spl15_58
    | ~ spl15_52
    | spl15_23
    | spl15_11 ),
    inference(rat,[],[s82,s300,s41,s127,s67,s43,s48,s1319,s150,s62,s27,s856,s972,s116,s111,s106]) ).

cnf(s1387,plain,
    ( spl15_34
    | ~ spl15_29
    | ~ spl15_52
    | spl15_27
    | spl15_23
    | spl15_19
    | spl15_17
    | spl15_11
    | spl15_10
    | spl15_6 ),
    inference(rat,[],[s150,s27,s1191,s732,s135,s144,s1164,s600,s1100,s1252,s146,s123,s1386,s1385,s57,s1213,s160,s1251,s1250,s72,s359,s1261,s418,s401,s99,s94,s89,s84,s77,s373,s29]) ).

cnf(s1388,plain,
    ( spl15_27
    | spl15_25
    | spl15_24
    | spl15_23
    | spl15_19
    | spl15_17
    | spl15_14
    | spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s41,s82,s67,s62,s52,s300,s1257,s202,s1283,s57,s47,s142,s144,s854,s1192,s1265,s600,s1100,s134,s33,s1368,s1387,s77,s84,s89,s94,s99,s373,s418,s1185,s1261,s72,s29,s359,s1384,s106,s111,s116,s165]) ).

cnf(s1393,plain,
    ( ~ spl15_50
    | spl15_24
    | spl15_27
    | spl15_23
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1378,s600,s1100,s33,s1347,s1368,s160,s1382,s359,s1380]) ).

cnf(s1394,plain,
    ( spl15_29
    | spl15_50
    | ~ spl15_25
    | spl15_24
    | spl15_47
    | spl15_27
    | spl15_23
    | spl15_44
    | spl15_19
    | spl15_14
    | spl15_11
    | spl15_10
    | spl15_3 ),
    inference(rat,[],[s1000,s131,s140,s797,s1368,s551,s118,s143,s935,s1351,s150,s120,s1146,s1255,s1312,s142,s26,s126,s163,s600,s428,s1073,s1371,s146,s121,s1252,s387,s982,s1334,s287,s1110,s1303,s1314,s130,s30,s1349,s155]) ).

cnf(s1395,plain,
    ( spl15_24
    | spl15_27
    | spl15_23
    | spl15_19
    | spl15_17
    | spl15_14
    | spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s40,s82,s67,s62,s52,s300,s1257,s202,s1283,s57,s47,s142,s144,s854,s1192,s1265,s600,s1100,s134,s77,s33,s1368,s84,s89,s94,s99,s373,s418,s1185,s1261,s1387,s29,s1394,s72,s1393,s1388,s1380,s1330,s116,s111,s106,s165]) ).

cnf(s1398,plain,
    ( ~ spl15_51
    | ~ spl15_52
    | ~ spl15_23 ),
    inference(rat,[],[s62,s856,s41,s123,s57,s85,s90,s95,s100,s1213,s441,s47,s744,s982,s63,s78,s73,s68,s52,s169,s25,s116,s111,s106]) ).

cnf(s1399,plain,
    ( ~ spl15_34
    | ~ spl15_23
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_6 ),
    inference(rat,[],[s778,s135,s137,s1162,s600,s1100,s145,s33,s1347,s1199,s1309,s25]) ).

cnf(s1401,plain,
    ( ~ spl15_24
    | spl15_83
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s144,s1261,s1100,s136,s33,s1347,s160,s1277,s1374]) ).

cnf(s1405,plain,
    ( ~ spl15_74
    | spl15_31
    | spl15_27
    | spl15_23
    | spl15_98
    | spl15_75
    | spl15_34
    | spl15_17 ),
    inference(rat,[],[s1110,s146,s144,s732,s978,s514,s1147,s1177,s27,s141,s150,s496,s1191]) ).

cnf(s1406,plain,
    ( ~ spl15_42
    | spl15_88
    | ~ spl15_64
    | spl15_45
    | ~ spl15_61
    | ~ spl15_52
    | spl15_27
    | spl15_23
    | spl15_99
    | ~ spl15_19
    | spl15_13
    | spl15_11 ),
    inference(rat,[],[s1219,s1308,s1386,s125,s27,s57,s1365,s856,s972,s1195,s133,s146,s257,s1110,s75,s70,s97,s1221,s92,s1056,s1385,s1193,s32,s167]) ).

cnf(s1407,plain,
    ( spl15_27
    | spl15_23
    | spl15_99
    | ~ spl15_19
    | spl15_17
    | spl15_13
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s41,s43,s53,s62,s52,s150,s1159,s331,s1372,s133,s132,s30,s1406,s1273,s141,s102,s567,s600,s135,s87,s1405,s106,s111,s116,s1330,s1385,s165,s167,s1193,s316,s209,s80,s75,s70,s65,s97,s1221,s92,s1056,s32]) ).

cnf(s1408,plain,
    ( ~ spl15_74
    | ~ spl15_67
    | ~ spl15_61
    | ~ spl15_64
    | spl15_47
    | spl15_52
    | spl15_23
    | ~ spl15_19 ),
    inference(rat,[],[s57,s847,s42,s26,s52,s150,s107,s331,s1372,s720,s62,s132,s112,s120,s1147,s253,s1151,s1155,s141,s37,s47,s496,s778,s1191,s167,s1140,s316,s80,s75,s70,s65,s97,s1221,s92,s1056,s32]) ).

cnf(s1410,plain,
    ( spl15_101
    | spl15_95
    | spl15_97
    | spl15_27
    | ~ spl15_19
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s514,s146,s141,s972,s496,s142,s135,s167,s316,s209,s32]) ).

cnf(s1411,plain,
    ( spl15_27
    | spl15_54
    | spl15_90
    | spl15_53
    | ~ spl15_19
    | spl15_17
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s41,s87,s62,s57,s496,s856,s1195,s141,s102,s146,s567,s600,s1410,s287,s1110,s1314,s30,s132,s106,s111,s116,s1330,s165,s167,s316,s80,s75,s70,s65,s97,s1221,s92,s1056,s32]) ).

cnf(s1413,plain,
    ( ~ spl15_87
    | spl15_101
    | ~ spl15_17
    | spl15_8
    | spl15_3 ),
    inference(rat,[],[s1208,s142,s1210,s972]) ).

cnf(s1414,plain,
    ( ~ spl15_86
    | spl15_49
    | spl15_83
    | spl15_76
    | spl15_34
    | spl15_23
    | ~ spl15_47
    | spl15_52 ),
    inference(rat,[],[s148,s183,s1186,s119,s140,s428,s1073,s121,s387,s982,s1224]) ).

cnf(s1415,plain,
    ( spl15_86
    | spl15_87
    | spl15_69
    | spl15_34
    | spl15_44
    | ~ spl15_17 ),
    inference(rat,[],[s401,s1385,s29,s123,s130,s166,s1045,s35]) ).

cnf(s1416,plain,
    ( ~ spl15_49
    | spl15_54
    | ~ spl15_51
    | spl15_66
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | spl15_93
    | spl15_52
    | spl15_3 ),
    inference(rat,[],[s117,s1012,s42,s143,s107,s43,s58,s1188,s100,s95,s90,s85,s57,s1213]) ).

cnf(s1417,plain,
    ( spl15_101
    | ~ spl15_51
    | spl15_34
    | spl15_23
    | spl15_44
    | spl15_52
    | spl15_97
    | ~ spl15_17
    | spl15_8
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s1208,s142,s1271,s732,s1414,s1416,s52,s387,s1415,s519,s146,s1413,s166,s232,s1336,s81,s76,s71,s66,s112,s647,s35,s1213]) ).

cnf(s1418,plain,
    ( spl15_34
    | spl15_23
    | spl15_19
    | spl15_97
    | spl15_42
    | ~ spl15_17
    | spl15_11
    | spl15_8
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s150,s27,s1385,s972,s1186,s1320,s146,s157,s126,s600,s1274,s1318,s1417,s160,s672,s166,s1045,s232,s1336,s35,s1380]) ).

cnf(s1419,plain,
    ( spl15_49
    | ~ spl15_34
    | spl15_23
    | spl15_44
    | spl15_19
    | spl15_66
    | spl15_57
    | ~ spl15_58
    | ~ spl15_59
    | spl15_60
    | spl15_96
    | spl15_52 ),
    inference(rat,[],[s428,s119,s121,s176,s202,s62,s40,s52,s57,s87,s387,s982,s1138,s778,s130,s137,s92,s359,s1226,s37,s47,s97,s274,s1100,s115,s105,s102,s516,s33]) ).

cnf(s1420,plain,
    ( spl15_23
    | spl15_19
    | spl15_97
    | spl15_42
    | ~ spl15_17
    | spl15_11
    | spl15_8
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s92,s1293,s40,s158,s87,s43,s48,s53,s58,s1191,s1419,s102,s105,s115,s516,s1243,s97,s33,s274,s1231,s1418,s672,s1045,s81,s76,s71,s66,s112,s647,s35,s1380]) ).

cnf(s1421,plain,
    ( spl15_19
    | spl15_97
    | spl15_42
    | ~ spl15_17
    | spl15_11
    | spl15_8
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s42,s117,s107,s1012,s1345,s62,s134,s856,s524,s1415,s57,s140,s274,s1213,s94,s401,s418,s37,s84,s89,s99,s29,s359,s52,s130,s169,s982,s47,s25,s744,s1420,s1380,s672,s1224,s1045,s81,s76,s71,s66,s112,s647,s35]) ).

cnf(s1422,plain,
    ( ~ spl15_17
    | spl15_13
    | spl15_11
    | spl15_8
    | spl15_7
    | spl15_6
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s87,s42,s1258,s117,s107,s102,s127,s1012,s1345,s567,s1208,s62,s52,s47,s134,s1413,s1210,s856,s171,s1320,s1219,s123,s57,s126,s92,s97,s1308,s524,s904,s209,s1056,s1139,s1140,s1221,s140,s1385,s32,s167,s1198,s1421,s112,s66,s71,s76,s81,s232,s647,s1045,s1224,s1336,s35,s166,s672,s1206,s1222]) ).

cnf(s1423,plain,
    ( spl15_42
    | spl15_53
    | spl15_103
    | ~ spl15_27
    | ~ spl15_51
    | spl15_19
    | ~ spl15_15
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s42,s107,s112,s1275,s1162,s126,s159,s917,s1161,s1164,s125,s148,s82,s67,s17,s524,s300,s1257,s155,s72,s77,s134,s142,s1378,s373,s418,s1158,s62,s27,s136,s52,s1271,s202,s732,s1145,s1283,s144,s30,s1380,s100,s95,s90,s85,s57,s1213,s585,s1187,s558,s1268,s117,s487,s36,s822]) ).

cnf(s1424,plain,
    ( spl15_49
    | spl15_103
    | ~ spl15_27
    | spl15_23
    | ~ spl15_51
    | spl15_19
    | ~ spl15_15
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s72,s253,s42,s62,s133,s103,s108,s177,s77,s67,s949,s27,s467,s1358,s122,s150,s134,s26,s52,s428,s1253,s82,s136,s261,s1261,s1423,s47,s1242,s100,s95,s90,s85,s57,s1213,s585,s1187,s558,s1268,s117,s487,s36,s822]) ).

cnf(s1431,plain,
    ( spl15_72
    | spl15_54
    | ~ spl15_56
    | spl15_53
    | spl15_60
    | spl15_97
    | ~ spl15_55
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_29
    | ~ spl15_52
    | ~ spl15_58 ),
    inference(rat,[],[s67,s793,s41,s131,s77,s116,s111,s106]) ).

cnf(s1432,plain,
    ( ~ spl15_39
    | spl15_53
    | spl15_73
    | spl15_97
    | spl15_83
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_69
    | spl15_29
    | spl15_34
    | ~ spl15_52
    | spl15_23
    | ~ spl15_58
    | spl15_6 ),
    inference(rat,[],[s553,s134,s140,s468,s1001,s1431,s1073,s121,s52,s387,s62,s123,s146,s26,s176,s972,s1265,s822,s57,s82]) ).

cnf(s1433,plain,
    ( spl15_49
    | spl15_73
    | spl15_95
    | spl15_97
    | spl15_83
    | spl15_90
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_69
    | spl15_29
    | spl15_34
    | ~ spl15_52
    | spl15_23
    | ~ spl15_58
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s125,s856,s524,s146,s26,s600,s150,s142,s27,s1432,s47,s822]) ).

cnf(s1434,plain,
    ( spl15_34
    | ~ spl15_52
    | spl15_23
    | spl15_50
    | spl15_19
    | spl15_17
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s467,s1431,s127,s43,s48,s58,s1319,s1433,s82,s257,s287,s1110,s1314,s30,s1365,s57,s155,s85,s90,s95,s100,s1213,s1387,s160,s72,s822]) ).

cnf(s1435,plain,
    ( ~ spl15_42
    | spl15_53
    | ~ spl15_34
    | ~ spl15_52
    | spl15_50
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s1431,s87,s92,s1255,s1162,s126,s163,s1371,s1252,s982,s1247,s467,s62,s123,s26,s57,s52,s134,s176,s972,s428,s1093,s1253,s155,s1368,s82,s142,s136,s29,s1401,s257,s287,s1110,s1261,s1314,s72,s1330,s1347,s97,s267,s600,s102,s514,s33]) ).

cnf(s1436,plain,
    ( spl15_49
    | ~ spl15_52
    | spl15_23
    | spl15_50
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s57,s846,s41,s82,s67,s26,s77,s300,s1257,s150,s373,s62,s142,s27,s52,s84,s89,s29,s202,s732,s1283,s155,s144,s30,s1435,s47,s72,s116,s111,s106,s97,s267,s1100,s600,s102,s514,s33,s1434]) ).

cnf(s1437,plain,
    ( ~ spl15_52
    | spl15_23
    | spl15_50
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s77,s40,s373,s82,s92,s129,s300,s1293,s1304,s1435,s142,s158,s87,s67,s43,s48,s53,s58,s1146,s1191,s1319,s1436,s102,s514,s600,s1243,s97,s33,s267,s1231,s1434,s106,s111,s116,s72]) ).

cnf(s1438,plain,
    ( ~ spl15_42
    | spl15_49
    | ~ spl15_55
    | ~ spl15_67
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_100
    | spl15_102
    | spl15_52
    | spl15_23
    | spl15_50
    | spl15_19
    | spl15_11
    | spl15_6 ),
    inference(rat,[],[s62,s42,s177,s77,s67,s27,s467,s1358,s150,s134,s26,s52,s104,s109,s428,s1253,s155,s82,s136,s29,s261,s1261,s72,s47]) ).

cnf(s1439,plain,
    ( spl15_49
    | ~ spl15_55
    | spl15_103
    | spl15_52
    | spl15_23
    | spl15_15
    | spl15_50
    | spl15_19
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s42,s112,s107,s1162,s1275,s159,s126,s1164,s1278,s917,s1161,s125,s148,s82,s67,s524,s300,s1257,s77,s134,s142,s373,s418,s1158,s62,s27,s52,s29,s1271,s202,s732,s1283,s155,s144,s30,s1438,s47,s1380,s72,s585,s1187,s558,s1268,s101,s96,s91,s86,s117,s487,s36,s165]) ).

cnf(s1442,plain,
    ( ~ spl15_23
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_8
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s124,s496,s949,s135,s1156,s122,s1158,s36,s1268,s1210,s165,s123,s1398,s1213,s1242,s160,s982,s1309,s1399,s25,s441,s893]) ).

cnf(s1445,plain,
    ( spl15_27
    | ~ spl15_50
    | spl15_23
    | spl15_19
    | spl15_17
    | spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s131,s949,s990,s124,s142,s373,s678,s600,s136,s145,s27,s33,s1231,s1347,s732,s160,s1401,s1374,s1382,s1395,s1380,s1151,s1149,s359]) ).

cnf(s1447,plain,
    ( ~ spl15_52
    | spl15_23
    | spl15_94
    | spl15_92
    | spl15_98
    | spl15_75
    | spl15_96
    | spl15_34
    | spl15_99
    | spl15_17
    | spl15_11
    | spl15_6 ),
    inference(rat,[],[s1366,s134,s163,s1265,s1312,s27,s120,s150,s870,s184,s1319,s141,s127,s567,s1274,s135,s1405,s1385,s822,s1330]) ).

cnf(s1448,plain,
    ( spl15_23
    | spl15_94
    | spl15_99
    | ~ spl15_19
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s331,s121,s132,s1271,s247,s1158,s37,s135,s428,s1192,s1408,s117,s134,s86,s101,s487,s558,s1224,s36,s1268,s165,s1447,s167,s1221,s1193,s1056,s316,s209,s32]) ).

cnf(s1451,plain,
    ( ~ spl15_51
    | spl15_23
    | ~ spl15_52
    | spl15_19
    | spl15_17
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1382,s1387,s1434,s267,s1380,s822]) ).

cnf(s1452,plain,
    ( ~ spl15_38
    | spl15_50
    | spl15_101
    | spl15_79
    | spl15_51
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s155,s29,s30,s375,s282,s138,s142,s846,s1265]) ).

cnf(s1456,plain,
    ( spl15_38
    | spl15_49
    | spl15_94
    | spl15_103
    | spl15_43
    | spl15_78
    | spl15_23
    | spl15_47
    | spl15_17
    | spl15_11
    | spl15_6 ),
    inference(rat,[],[s127,s793,s287,s122,s144,s1316,s732,s163,s27,s1366,s150,s134,s26]) ).

cnf(s1457,plain,
    ( spl15_49
    | ~ spl15_64
    | spl15_94
    | spl15_101
    | spl15_103
    | spl15_43
    | spl15_79
    | spl15_78
    | spl15_51
    | spl15_23
    | ~ spl15_52
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s41,s62,s52,s202,s1283,s144,s83,s92,s282,s150,s64,s69,s74,s79,s1226,s57,s142,s27,s1452,s846,s1265,s1456,s47,s1330,s116,s111,s106,s97]) ).

cnf(s1458,plain,
    ( spl15_23
    | ~ spl15_52
    | spl15_19
    | spl15_17
    | ~ spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s40,s69,s74,s128,s1283,s92,s144,s82,s1293,s282,s300,s158,s87,s127,s67,s43,s48,s53,s58,s1191,s1319,s1457,s102,s1355,s514,s600,s1100,s1243,s1026,s1310,s19,s33,s1231,s1367,s160,s97,s1451,s116,s111,s106]) ).

cnf(s1459,plain,
    ( ~ spl15_52
    | spl15_19
    | spl15_17
    | ~ spl15_12
    | spl15_11
    | spl15_10
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s132,s30,s1119,s282,s137,s127,s778,s1258,s135,s1355,s600,s1100,s19,s33,s160,s917,s1309,s1398,s25,s1458,s1330]) ).

cnf(s1465,plain,
    ( ~ spl15_39
    | spl15_49
    | spl15_23
    | ~ spl15_61
    | spl15_63
    | spl15_45
    | ~ spl15_62
    | ~ spl15_64
    | spl15_65
    | spl15_66
    | ~ spl15_67
    | spl15_27
    | ~ spl15_11 ),
    inference(rat,[],[s77,s1000,s38,s133,s82,s541,s150,s146,s26,s972,s1265,s756,s72,s1084,s410,s59,s54,s49,s44,s67,s184,s28]) ).

cnf(s1466,plain,
    ( ~ spl15_52
    | spl15_19
    | spl15_90
    | ~ spl15_11
    | spl15_6 ),
    inference(rat,[],[s41,s77,s82,s1000,s1186,s140,s524,s1156,s26,s124,s150,s27,s1465,s1191,s158,s1398,s85,s95,s1242,s160,s33,s1100,s137,s92,s102,s1119,s1161,s1259,s132,s106,s111,s116,s822,s1330,s756,s72,s1084,s1304,s410,s59,s54,s49,s44,s67,s184,s28]) ).

cnf(s1469,plain,
    ( spl15_19
    | ~ spl15_59
    | spl15_60
    | ~ spl15_47
    | spl15_27
    | spl15_52
    | spl15_97
    | spl15_57
    | spl15_29
    | spl15_50
    | spl15_90
    | spl15_92
    | spl15_6 ),
    inference(rat,[],[s141,s1419,s497,s1191,s135,s1119,s514,s600,s128,s25,s146,s387,s982,s1334,s130,s1380,s72,s1045,s112,s647]) ).

cnf(s1472,plain,
    ( spl15_42
    | spl15_50
    | spl15_49
    | ~ spl15_51
    | ~ spl15_52
    | spl15_17
    | spl15_11 ),
    inference(rat,[],[s144,s1100,s732,s146,s27,s1386,s150,s77,s1385,s373,s401,s418,s29,s1250,s1251,s155,s30,s822,s267,s100,s95,s90,s85,s1398,s57,s1213,s72]) ).

cnf(s1473,plain,
    ( spl15_50
    | spl15_49
    | ~ spl15_51
    | ~ spl15_52
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1365,s155,s1433,s29,s257,s287,s1110,s1261,s1314,s1472,s72,s1213,s267,s100,s95,s90,s85,s1398]) ).

cnf(s1474,plain,
    ( ~ spl15_50
    | spl15_23
    | ~ spl15_51
    | spl15_27
    | spl15_17
    | spl15_44
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s1382,s359]) ).

cnf(s1475,plain,
    ( ~ spl15_42
    | spl15_53
    | spl15_54
    | ~ spl15_56
    | spl15_71
    | ~ spl15_58
    | ~ spl15_55
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | ~ spl15_52
    | spl15_11 ),
    inference(rat,[],[s1431,s467,s82,s127,s29,s257,s287,s1110,s1261,s1314]) ).

cnf(s1476,plain,
    ( ~ spl15_51
    | ~ spl15_52
    | spl15_17
    | spl15_44
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s82,s41,s300,s77,s127,s373,s418,s29,s155,s30,s1475,s67,s43,s48,s58,s1319,s1473,s72,s1474,s57,s1398,s85,s90,s95,s100,s1213,s822,s116,s111,s106]) ).

cnf(s1477,plain,
    ( ~ spl15_42
    | spl15_50
    | spl15_23
    | spl15_53
    | ~ spl15_34
    | spl15_63
    | ~ spl15_52
    | spl15_44
    | ~ spl15_10
    | spl15_11
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s1358,s134,s1475,s1368,s87,s92,s1374,s1255,s1162,s121,s52,s57,s126,s163,s387,s982,s1138,s1371,s130,s62,s23,s1349,s176,s1265,s155,s142,s29,s287,s1261,s1314,s1354,s1330,s600,s102,s514,s33,s72]) ).

cnf(s1478,plain,
    ( spl15_50
    | spl15_23
    | spl15_49
    | ~ spl15_34
    | ~ spl15_52
    | spl15_17
    | spl15_44
    | ~ spl15_10
    | spl15_11
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s57,s41,s846,s82,s67,s26,s77,s300,s1257,s150,s373,s62,s142,s27,s52,s84,s89,s29,s202,s732,s1283,s155,s144,s30,s1477,s72,s116,s111,s106,s97,s1476,s1100,s600,s102,s514,s33,s47]) ).

cnf(s1479,plain,
    ( ~ spl15_42
    | spl15_86
    | spl15_78
    | spl15_23
    | spl15_49
    | ~ spl15_52
    | spl15_17
    | spl15_19
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1355,s19,s1347,s136,s1093,s123,s1456,s26,s972,s1265,s142,s287,s1261,s1314,s1330,s1243,s1100,s600,s33,s160,s1476,s1380]) ).

cnf(s1480,plain,
    ( spl15_23
    | spl15_49
    | ~ spl15_52
    | spl15_17
    | spl15_19
    | ~ spl15_10
    | spl15_11
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s57,s846,s41,s62,s119,s52,s202,s732,s1283,s144,s1479,s1247,s163,s1309,s1369,s135,s87,s778,s137,s92,s64,s69,s74,s79,s1151,s1226,s1478,s1330,s116,s111,s106,s97,s1100,s600,s102,s514,s33,s160,s1476,s1380,s47]) ).

cnf(s1481,plain,
    ( ~ spl15_23
    | ~ spl15_34
    | spl15_47
    | spl15_17
    | spl15_19
    | spl15_11
    | spl15_6 ),
    inference(rat,[],[s132,s30,s1119,s282,s137,s127,s778,s1258,s1355,s135,s19,s917,s1309,s1399,s25,s1100,s600,s33]) ).

cnf(s1482,plain,
    ( spl15_50
    | spl15_60
    | ~ spl15_62
    | spl15_42
    | spl15_40
    | ~ spl15_61
    | spl15_57
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | ~ spl15_64
    | spl15_63
    | ~ spl15_52 ),
    inference(rat,[],[s77,s373,s41,s129,s72,s116,s111,s106]) ).

cnf(s1483,plain,
    ( ~ spl15_52
    | spl15_17
    | spl15_19
    | ~ spl15_10
    | spl15_11
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s41,s69,s74,s1482,s82,s92,s282,s300,s1293,s1304,s142,s158,s87,s67,s43,s48,s53,s58,s1146,s1191,s1319,s1480,s1481,s102,s514,s600,s1243,s33,s1231,s160,s97,s1476,s106,s111,s116,s1330,s1380]) ).

cnf(s1484,plain,
    ( ~ spl15_50
    | spl15_49
    | spl15_103
    | spl15_52
    | spl15_17
    | spl15_19
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s133,s261,s877,s144,s118,s1271,s720,s778,s1158,s145,s137,s1378,s247,s1151,s1226,s585,s1187,s558,s36,s1268,s165]) ).

cnf(s1485,plain,
    ( spl15_23
    | ~ spl15_51
    | spl15_49
    | spl15_103
    | spl15_52
    | spl15_17
    | spl15_19
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s1439,s1424,s165,s1484,s57,s1213]) ).

cnf(s1486,plain,
    ( ~ spl15_51
    | spl15_49
    | spl15_103
    | spl15_52
    | spl15_17
    | spl15_19
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s1259,s124,s159,s949,s1162,s1309,s122,s145,s25,s441,s893,s1199,s1485,s1242,s1380,s1268,s1156,s585,s1187,s36,s165]) ).

cnf(s1487,plain,
    ( spl15_49
    | spl15_103
    | spl15_52
    | spl15_17
    | spl15_19
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s37,s1486,s1484]) ).

cnf(s1488,plain,
    spl15_58,
    inference(rat,[],[s69,s72]) ).

cnf(s1489,plain,
    ( spl15_19
    | spl15_8
    | ~ spl15_52
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_5
    | spl15_3 ),
    inference(rat,[],[s1437,s1445,s1442,s1459,s1483,s822]) ).

cnf(s1490,plain,
    ( ~ spl15_37
    | spl15_53
    | ~ spl15_19
    | spl15_27
    | spl15_17
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s52,s1411,s171,s917,s1139,s32]) ).

cnf(s1491,plain,
    ( spl15_23
    | spl15_99
    | ~ spl15_19
    | spl15_27
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s11,s1219,s1407,s1448]) ).

cnf(s1492,plain,
    ( spl15_99
    | ~ spl15_19
    | spl15_2
    | spl15_27
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1490,s47,s25,s744,s1491]) ).

cnf(s1493,plain,
    ( ~ spl15_52
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1492,s1198,s1489,s1353,s822]) ).

cnf(s1496,plain,
    ( ~ spl15_29
    | spl15_95
    | spl15_42
    | spl15_83
    | spl15_23
    | spl15_100
    | spl15_6 ),
    inference(rat,[],[s331,s121,s125,s27,s428,s524,s1265,s134,s1159,s418,s157,s29,s1250]) ).

cnf(s1497,plain,
    ( spl15_49
    | spl15_23
    | spl15_19
    | spl15_52
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s176,s119,s62,s428,s42,s121,s52,s387,s982,s130,s341,s143,s107,s720,s145,s112,s64,s74,s79,s1151,s155,s1496,s57,s1213,s1256,s30,s160,s13,s1260,s33,s1148,s1100,s1315,s1487,s47,s585,s1187,s558,s1268,s101,s96,s91,s86,s117,s487,s36,s165,s1380,s1488]) ).

cnf(s1498,plain,
    ( ~ spl15_49
    | spl15_19
    | ~ spl15_67
    | ~ spl15_61
    | ~ spl15_62
    | spl15_63
    | ~ spl15_64
    | spl15_100
    | spl15_102
    | spl15_46
    | spl15_85
    | spl15_52
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1159,s153,s82,s1334,s42,s1145,s130,s112,s136,s29,s77,s341,s1312,s418,s467,s143,s162,s107,s134,s67,s43,s48,s53,s58,s1146,s1188,s1192,s1319,s1380,s1488]) ).

cnf(s1499,plain,
    ( spl15_19
    | spl15_52
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s29,s418,s155,s127,s1151,s1359,s1256,s30,s145,s162,s13,s1260,s1199,s1148,s1497,s1487,s1498,s1156,s585,s1187,s558,s1268,s101,s96,s91,s86,s117,s487,s36,s165]) ).

cnf(s1500,plain,
    ( spl15_49
    | spl15_52
    | spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s118,s1358,s1408,s1448,s720,s1199,s145,s1151,s37,s1224,s585,s1187,s101,s86,s117,s487,s36,s165,s1221,s32,s1499]) ).

cnf(s1501,plain,
    ( spl15_17
    | spl15_11
    | spl15_1
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s112,s1312,s42,s162,s107,s43,s48,s53,s58,s1188,s1500,s65,s75,s80,s32,s1499,s117,s86,s91,s96,s101,s487,s1156,s36,s1268,s165,s1493,s1488]) ).

cnf(s1502,plain,
    ( spl15_99
    | spl15_69
    | spl15_34
    | spl15_23
    | spl15_49
    | spl15_44
    | ~ spl15_17 ),
    inference(rat,[],[s387,s121,s1415,s732,s972,s27,s1073,s150,s140,s1385,s166,s1224,s1045,s35]) ).

cnf(s1503,plain,
    ( ~ spl15_42
    | ~ spl15_17
    | spl15_2 ),
    inference(rat,[],[s1260,s1222]) ).

cnf(s1504,plain,
    ( spl15_23
    | spl15_49
    | spl15_99
    | spl15_19
    | ~ spl15_17
    | spl15_6 ),
    inference(rat,[],[s1213,s1502,s160,s1419,s661,s1045,s81,s76,s66,s112,s647,s35,s1380,s1488]) ).

cnf(s1505,plain,
    ( spl15_49
    | spl15_70
    | spl15_99
    | spl15_95
    | spl15_19
    | ~ spl15_17
    | spl15_11
    | spl15_6 ),
    inference(rat,[],[s42,s117,s107,s1012,s1359,s134,s127,s94,s418,s84,s89,s99,s29,s57,s52,s130,s524,s904,s169,s982,s125,s25,s893,s1504,s47,s661,s1336,s1045,s81,s76,s66,s112,s647,s35,s1380,s62,s1488]) ).

cnf(s1506,plain,
    ( spl15_19
    | spl15_97
    | ~ spl15_17
    | spl15_11
    | spl15_6
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s1318,s142,s126,s1146,s1320,s1505,s1159,s1186,s157,s1208,s9,s1421,s232,s1336,s35,s1503]) ).

cnf(s1507,plain,
    ( spl15_8
    | ~ spl15_17
    | spl15_11
    | spl15_6
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s42,s117,s107,s87,s1012,s1359,s496,s134,s127,s141,s102,s1219,s567,s11,s1208,s1413,s1422,s1210,s661,s81,s76,s66,s112,s647,s1201,s1503,s316,s524,s97,s1221,s92,s1056,s57,s62,s856,s123,s1140,s904,s140,s1224,s1385,s167,s1045,s1198,s166,s47,s1320,s52,s171,s126,s209,s232,s1336,s35,s1139,s32,s1506,s1206,s1488]) ).

cnf(s1508,plain,
    ( ~ spl15_24
    | ~ spl15_91
    | ~ spl15_19 ),
    inference(rat,[],[s1308,s11]) ).

cnf(s1509,plain,
    ( spl15_11
    | spl15_6
    | spl15_1
    | spl15_2
    | spl15_5
    | spl15_4
    | spl15_3 ),
    inference(rat,[],[s42,s117,s107,s1012,s1359,s134,s127,s1219,s1508,s87,s496,s141,s102,s567,s1410,s1208,s9,s1507,s52,s47,s62,s171,s1320,s856,s57,s126,s92,s123,s97,s524,s904,s209,s316,s1056,s1139,s1140,s1221,s140,s1385,s32,s167,s1198,s1506,s112,s66,s76,s81,s232,s647,s1045,s1224,s1336,s35,s166,s661,s1206,s1501,s1488]) ).

cnf(s1510,plain,
    ( ~ spl15_52
    | spl15_19
    | ~ spl15_11
    | spl15_6 ),
    inference(rat,[],[s147,s816,s1012,s124,s134,s1100,s1259,s428,s137,s159,s136,s1162,s1310,s163,s1233,s4,s1136,s1372,s1466,s822,s1330,s1182,s1180,s1153,s1304,s1185,s410,s28,s1380]) ).

cnf(s1511,plain,
    ( spl15_19
    | spl15_17
    | ~ spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s428,s134,s136,s558,s598,s36,s1268,s165,s1510,s1180,s29,s1185,s28]) ).

cnf(s1512,plain,
    ( ~ spl15_52
    | spl15_99
    | ~ spl15_19
    | spl15_17
    | spl15_53
    | spl15_88
    | spl15_35
    | spl15_94
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s134,s556,s1192,s140,s150,s25,s1335,s1372,s1385,s1490,s132,s822,s1330,s167,s133,s1193,s316,s32]) ).

cnf(s1513,plain,
    ( spl15_17
    | ~ spl15_11
    | spl15_6
    | spl15_4
    | spl15_3 ),
    inference(rat,[],[s134,s558,s1192,s36,s1268,s37,s165,s1512,s1221,s32,s1198,s1511,s1180,s1084,s756,s410,s44,s28]) ).

cnf(s1514,plain,
    ( spl15_6
    | spl15_5
    | spl15_1
    | spl15_2
    | spl15_3
    | spl15_4 ),
    inference(rat,[],[s42,s117,s107,s87,s1012,s1188,s1191,s134,s102,s92,s37,s97,s524,s567,s1056,s1221,s140,s1410,s32,s167,s112,s1186,s1469,s76,s81,s647,s1224,s1336,s157,s35,s166,s661,s1206,s1513,s67,s29,s44,s49,s54,s59,s184,s1185,s1303,s28,s1084,s1152,s1180,s1182,s1509,s1488]) ).

cnf(s1515,plain,
    ( ~ spl15_40
    | spl15_29
    | spl15_11 ),
    inference(rat,[],[s155,s30,s1155,s1303]) ).

cnf(s1517,plain,
    ( ~ spl15_99
    | spl15_23
    | spl15_11
    | ~ spl15_6 ),
    inference(rat,[],[s1134,s5,s1132,s136,s1313,s120,s1515,s29,s401,s764,s32,s1139,s31]) ).

cnf(s1518,plain,
    ( spl15_23
    | spl15_27
    | spl15_11
    | spl15_91
    | ~ spl15_6
    | spl15_3 ),
    inference(rat,[],[s143,s553,s720,s120,s1515,s341,s1251,s147,s485,s140,s1517,s1244,s764,s33,s1243,s31]) ).

cnf(s1519,plain,
    ( ~ spl15_52
    | spl15_11
    | spl15_91
    | ~ spl15_6
    | spl15_3 ),
    inference(rat,[],[s990,s142,s146,s176,s860,s1147,s125,s917,s25,s893,s1518,s822,s1157,s1243,s31]) ).

cnf(s1520,plain,
    ( ~ spl15_50
    | spl15_23
    | ~ spl15_27
    | spl15_52
    | ~ spl15_6 ),
    inference(rat,[],[s107,s42,s720,s112,s120,s64,s74,s79,s1151,s1155,s97,s764,s60,s55,s50,s45,s87,s712,s31,s957,s101,s91,s117,s487,s36,s1488]) ).

cnf(s1521,plain,
    ( spl15_50
    | ~ spl15_27
    | spl15_52
    | ~ spl15_6
    | spl15_3 ),
    inference(rat,[],[s77,s373,s42,s129,s82,s112,s282,s300,s1154,s1312,s142,s162,s107,s67,s1146,s1188,s1319,s37,s1157,s97,s1244,s60,s55,s50,s45,s87,s712,s31,s957,s1156,s101,s91,s117,s487,s36,s1488]) ).

cnf(s1522,plain,
    ( spl15_17
    | spl15_52
    | ~ spl15_6
    | spl15_3 ),
    inference(rat,[],[s1199,s145,s1520,s1151,s1521,s585,s1187,s36,s165]) ).

cnf(s1523,plain,
    ( spl15_11
    | spl15_91
    | ~ spl15_6
    | spl15_3
    | spl15_1 ),
    inference(rat,[],[s125,s893,s856,s1336,s1518,s146,s35,s166,s1206,s1522,s1519,s1243,s31]) ).

cnf(s1524,plain,
    ( ~ spl15_6
    | spl15_4
    | spl15_3
    | spl15_1 ),
    inference(rat,[],[s1465,s92,s102,s1163,s1173,s901,s144,s124,s106,s111,s116,s661,s822,s1330,s192,s37,s118,s732,s1146,s184,s410,s1303,s142,s28,s1084,s1152,s1523,s87,s624,s712,s1243,s97,s31,s957,s1157,s1296]) ).

cnf(s1525,plain,
    ( ~ spl15_93
    | ~ spl15_35
    | spl15_29
    | spl15_44 ),
    inference(rat,[],[s1252,s23,s130,s1371,s341]) ).

cnf(s1526,plain,
    ( ~ spl15_78
    | ~ spl15_61
    | ~ spl15_62
    | ~ spl15_56
    | spl15_60
    | spl15_97
    | spl15_41
    | spl15_72
    | ~ spl15_64
    | spl15_63
    | spl15_19
    | spl15_53
    | ~ spl15_52 ),
    inference(rat,[],[s57,s1431,s1093,s52,s136,s1179,s1310,s29,s1488]) ).

cnf(s1527,plain,
    ( ~ spl15_94
    | spl15_50
    | spl15_100
    | spl15_19
    | spl15_49
    | spl15_23
    | ~ spl15_52
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s387,s128,s1479,s1526,s87,s92,s778,s1293,s120,s720,s143,s1525,s62,s176,s82,s142,s257,s287,s1110,s1314,s129,s155,s1515,s29,s418,s467,s47,s97,s600,s102,s514,s33,s160,s1476,s1380,s661]) ).

cnf(s1528,plain,
    ( spl15_50
    | spl15_100
    | spl15_19
    | spl15_49
    | spl15_23
    | ~ spl15_52
    | spl15_11
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s40,s62,s52,s77,s202,s1283,s373,s144,s82,s67,s83,s88,s136,s282,s300,s1257,s150,s1026,s57,s142,s27,s1452,s428,s846,s1265,s134,s1527,s116,s111,s106,s47,s97,s1100,s600,s102,s514,s33,s160,s1476,s1380,s661,s1488]) ).

cnf(s1529,plain,
    ( spl15_19
    | spl15_49
    | spl15_23
    | ~ spl15_52
    | spl15_11
    | ~ spl15_5
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1355,s1457,s19,s1026,s1393,s1378,s1151,s1528,s102,s514,s600,s1100,s1243,s1368,s21,s33,s160,s1476,s1380,s822,s661]) ).

cnf(s1530,plain,
    ( ~ spl15_19
    | ~ spl15_52
    | spl15_11
    | spl15_6
    | spl15_4
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s1492,s1198,s822,s661]) ).

cnf(s1531,plain,
    ( ~ spl15_49
    | spl15_101
    | spl15_100
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1369,s135,s143,s1188,s1191]) ).

cnf(s1532,plain,
    ( ~ spl15_52
    | spl15_11
    | ~ spl15_5
    | spl15_6
    | spl15_4
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s1529,s1481,s1531,s600,s1368,s21,s33,s160,s1476,s1380,s1530,s661,s1330]) ).

cnf(s1533,plain,
    ( spl15_17
    | spl15_11
    | spl15_2
    | spl15_52
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s112,s1312,s42,s117,s162,s107,s86,s91,s96,s101,s487,s1156,s65,s75,s80,s43,s48,s53,s58,s1188,s36,s1268,s32,s1500,s165,s1499,s1488]) ).

cnf(s1534,plain,
    ( spl15_11
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s42,s117,s107,s87,s1012,s1345,s496,s52,s47,s134,s141,s102,s62,s171,s1320,s1219,s57,s567,s1159,s126,s92,s97,s1508,s524,s904,s1410,s157,s209,s316,s1056,s1139,s1221,s140,s1208,s112,s32,s167,s1198,s9,s66,s76,s81,s232,s647,s1224,s1336,s1506,s1507,s1503,s35,s166,s1206,s1533,s1532,s1514,s1524,s1488]) ).

cnf(s1535,plain,
    ( spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s42,s117,s107,s87,s1012,s1188,s1191,s134,s102,s92,s37,s97,s524,s567,s1056,s1221,s140,s1410,s32,s167,s112,s1186,s1469,s76,s81,s647,s1224,s1336,s157,s67,s29,s35,s166,s661,s1206,s44,s49,s54,s59,s184,s1185,s1303,s1513,s28,s1084,s1152,s1180,s1182,s1534,s1524,s1488]) ).

cnf(s1536,plain,
    ( ~ spl15_74
    | spl15_23
    | spl15_40
    | spl15_29
    | spl15_98
    | spl15_75
    | spl15_72
    | spl15_34
    | ~ spl15_52
    | spl15_3 ),
    inference(rat,[],[s131,s949,s990,s124,s142,s27,s1265,s567,s678,s26,s141,s120,s1405,s496,s778,s822,s661]) ).

cnf(s1537,plain,
    ( spl15_49
    | spl15_29
    | spl15_72
    | ~ spl15_19
    | ~ spl15_52
    | spl15_6
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s62,s202,s41,s121,s52,s331,s132,s30,s57,s1110,s428,s847,s102,s131,s134,s567,s794,s1358,s135,s118,s87,s1536,s1275,s1366,s126,s25,s1490,s47,s1330,s822,s661,s116,s111,s106,s167,s1140,s316,s209,s80,s75,s65,s97,s1221,s92,s1056,s32,s1515,s1488]) ).

cnf(s1538,plain,
    ( ~ spl15_19
    | ~ spl15_52
    | spl15_6
    | spl15_11
    | ~ spl15_4
    | spl15_3 ),
    inference(rat,[],[s102,s567,s41,s135,s87,s43,s48,s53,s58,s1191,s1537,s92,s97,s29,s65,s75,s80,s209,s1056,s1221,s401,s1000,s32,s1207,s116,s111,s106,s1488]) ).

cnf(s1539,plain,
    ( ~ spl15_52
    | spl15_6
    | spl15_11
    | ~ spl15_4
    | spl15_3
    | spl15_1 ),
    inference(rat,[],[s1531,s1529,s600,s1368,s1481,s21,s33,s160,s1476,s1489,s1380,s1538,s1353,s661,s1330]) ).

cnf(s1540,plain,
    ( spl15_6
    | spl15_11
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s514,s141,s146,s497,s1210,s9,s135,s1208,s1274,s157,s209,s316,s1186,s32,s167,s1207,s1336,s1506,s1503,s35,s166,s1206,s1533,s1539,s1535]) ).

cnf(s1541,plain,
    ( spl15_23
    | spl15_83
    | ~ spl15_62
    | ~ spl15_64
    | ~ spl15_52
    | ~ spl15_59
    | spl15_94
    | spl15_31
    | ~ spl15_61
    | spl15_69
    | spl15_82
    | ~ spl15_55
    | spl15_63
    | spl15_11 ),
    inference(rat,[],[s123,s387,s1386,s121,s1488]) ).

cnf(s1542,plain,
    ( ~ spl15_52
    | ~ spl15_59
    | spl15_94
    | spl15_40
    | spl15_42
    | spl15_31
    | ~ spl15_61
    | spl15_69
    | spl15_82
    | spl15_90
    | spl15_102
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_56
    | spl15_45
    | spl15_63
    | spl15_101
    | spl15_11 ),
    inference(rat,[],[s1482,s1151,s78,s63,s145,s25,s1199,s1541,s1315,s92,s161,s102,s1119,s1161,s132,s661,s1330,s30]) ).

cnf(s1543,plain,
    ( spl15_11
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1208,s9,s142,s1413,s972,s146,s1206,s1522,s1542,s36,s485,s138,s77,s373,s418,s1185,s1261,s26,s136,s87,s32,s524,s904,s1073,s1335,s1356,s45,s50,s55,s60,s712,s1139,s1243,s97,s1523,s2,s31,s957,s1157,s1540,s1535]) ).

cnf(s1544,plain,
    ( spl15_101
    | spl15_98
    | spl15_75
    | spl15_23
    | spl15_34
    | spl15_17
    | spl15_27
    | spl15_6
    | spl15_95
    | spl15_92
    | spl15_3 ),
    inference(rat,[],[s26,s1405,s1265,s135,s142]) ).

cnf(s1545,plain,
    ( ~ spl15_52
    | spl15_6
    | ~ spl15_11
    | spl15_3 ),
    inference(rat,[],[s87,s496,s41,s141,s102,s567,s1544,s92,s97,s75,s80,s316,s1056,s1221,s25,s32,s167,s1490,s1510,s106,s111,s116,s661,s822,s1182,s1152,s59,s54,s49,s44,s67,s184,s28,s1488]) ).

cnf(s1546,plain,
    ( spl15_17
    | spl15_6
    | ~ spl15_11
    | ~ spl15_4
    | spl15_3 ),
    inference(rat,[],[s1187,s36,s1207,s165,s1511,s1545]) ).

cnf(s1547,plain,
    ( spl15_6
    | ~ spl15_11
    | ~ spl15_4
    | spl15_3
    | spl15_1 ),
    inference(rat,[],[s1207,s1469,s1186,s76,s81,s1336,s157,s35,s166,s1206,s1546,s1545,s1182,s1152,s1084,s1303,s29,s1185,s67,s184,s28]) ).

cnf(s1548,plain,
    ( spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s133,s541,s1134,s146,s5,s822,s1132,s37,s136,s32,s972,s1146,s1356,s1139,s1243,s142,s2,s31,s957,s1157,s1547,s410,s1185,s28,s756,s1084,s1152,s1543,s1535]) ).

cnf(s1549,plain,
    ( ~ spl15_71
    | ~ spl15_51
    | spl15_19
    | spl15_6
    | ~ spl15_3 ),
    inference(rat,[],[s64,s42,s129,s117,s112,s1110,s1026,s1310,s131,s136,s29,s77,s82,s401,s1000,s1186,s140,s428,s536,s134,s184,s793,s1358,s1248,s1156,s56,s51,s46,s61,s107,s193,s34,s274,s633,s100,s95,s90,s85,s1488]) ).

cnf(s1550,plain,
    ( ~ spl15_40
    | spl15_11 ),
    inference(rat,[],[s29,s1185,s1515]) ).

cnf(s1551,plain,
    ( ~ spl15_51
    | spl15_49
    | spl15_19
    | spl15_6
    | spl15_40
    | spl15_87
    | ~ spl15_3 ),
    inference(rat,[],[s982,s123,s25,s441,s120,s778,s118,s1549,s1213,s678,s193,s34,s633]) ).

cnf(s1552,plain,
    ( spl15_49
    | spl15_19
    | spl15_6
    | spl15_11
    | spl15_87
    | ~ spl15_3 ),
    inference(rat,[],[s87,s40,s778,s102,s120,s514,s112,s92,s1481,s115,s33,s64,s74,s79,s1151,s1226,s160,s37,s97,s1551,s619,s1245,s678,s56,s51,s46,s61,s107,s193,s34,s633,s1550,s1488]) ).

cnf(s1553,plain,
    ( ~ spl15_51
    | ~ spl15_62
    | ~ spl15_59
    | spl15_93
    | spl15_41
    | ~ spl15_61
    | spl15_57
    | spl15_31
    | spl15_11
    | spl15_65
    | ~ spl15_56
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | spl15_47
    | spl15_52
    | spl15_87 ),
    inference(rat,[],[s82,s39,s114,s109,s265,s129,s155,s1151,s163,s1247,s123,s95,s100,s1213,s1550,s29,s1488]) ).

cnf(s1554,plain,
    ( spl15_19
    | spl15_6
    | spl15_11
    | spl15_87
    | ~ spl15_3 ),
    inference(rat,[],[s129,s257,s79,s82,s42,s102,s110,s514,s115,s139,s160,s97,s1553,s92,s77,s764,s1293,s1369,s418,s467,s120,s135,s87,s134,s67,s744,s836,s1191,s1192,s1319,s1552,s1380,s1248,s1246,s1245,s678,s56,s51,s46,s61,s107,s193,s34,s633,s1550,s1488]) ).

cnf(s1555,plain,
    ( spl15_6
    | spl15_11
    | spl15_87
    | ~ spl15_3 ),
    inference(rat,[],[s1151,s37,s145,s1191,s1026,s135,s147,s209,s1193,s1221,s32,s1554,s1246,s633,s619,s455,s808,s678,s34]) ).

cnf(s1556,plain,
    ( spl15_11
    | spl15_87
    | ~ spl15_3 ),
    inference(rat,[],[s42,s117,s102,s1026,s1161,s145,s112,s92,s159,s1151,s1226,s73,s63,s1309,s37,s82,s25,s744,s541,s87,s120,s146,s712,s764,s1139,s1243,s97,s31,s957,s1555,s1550,s619,s455,s678,s56,s51,s46,s61,s107,s193,s34,s633,s1488]) ).

cnf(s1557,plain,
    ( spl15_6
    | spl15_57
    | spl15_41
    | spl15_50
    | spl15_94
    | spl15_92
    | ~ spl15_56
    | spl15_53
    | spl15_54
    | ~ spl15_55
    | ~ spl15_46
    | spl15_52
    | spl15_101
    | spl15_100 ),
    inference(rat,[],[s42,s117,s112,s1026,s1310,s136,s77,s82,s32,s1000,s1186,s85,s90,s95,s100,s1221,s140,s280,s37,s428,s536,s1265,s1191,s134,s135,s1156,s107,s193,s1488]) ).

cnf(s1558,plain,
    ( ~ spl15_12
    | ~ spl15_99
    | ~ spl15_6 ),
    inference(rat,[],[s1134,s5]) ).

cnf(s1559,plain,
    ( ~ spl15_7
    | ~ spl15_97
    | ~ spl15_3 ),
    inference(rat,[],[s1200,s3]) ).

cnf(s1560,plain,
    ( ~ spl15_3
    | spl15_1 ),
    inference(rat,[],[s42,s102,s92,s1173,s1284,s144,s121,s1137,s1559,s117,s112,s1026,s1310,s136,s1132,s1558,s77,s1000,s133,s82,s541,s87,s32,s146,s744,s712,s1139,s1243,s37,s97,s31,s957,s1557,s67,s184,s410,s1185,s1303,s28,s756,s1084,s1180,s1182,s1556,s107,s61,s46,s51,s56,s193,s34,s455,s619,s633,s1189,s1246,s1248,s1488]) ).

cnf(s1561,plain,
    ( spl15_19
    | spl15_8
    | ~ spl15_52
    | spl15_6
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s1531,s1368,s1529,s600,s21,s1481,s33,s160,s1476,s1489,s1380,s1330,s661]) ).

cnf(s1562,plain,
    ( spl15_23
    | spl15_99
    | ~ spl15_19
    | ~ spl15_52
    | spl15_6
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s1219,s11,s1447,s1407,s822,s661,s167,s1193,s1056,s316,s209,s32]) ).

cnf(s1563,plain,
    ( ~ spl15_52
    | spl15_6
    | spl15_11
    | spl15_1 ),
    inference(rat,[],[s1490,s47,s25,s744,s1562,s1198,s1561,s1539,s1353,s661,s822,s1560]) ).

cnf(s1564,plain,
    ( ~ spl15_92
    | ~ spl15_55
    | spl15_23
    | spl15_49
    | spl15_17
    | spl15_19
    | spl15_52
    | spl15_6
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s202,s125,s121,s27,s1278,s428,s524,s1265,s17,s134,s1164,s418,s155,s129,s30,s1438,s1151,s1179,s145,s720,s143,s1369,s1550,s585,s1187,s558,s1268,s101,s96,s91,s86,s117,s487,s36,s165]) ).

cnf(s1565,plain,
    ( ~ spl15_7
    | ~ spl15_95
    | ~ spl15_27 ),
    inference(rat,[],[s1256,s13]) ).

cnf(s1566,plain,
    ( spl15_50
    | spl15_80
    | spl15_71
    | ~ spl15_55
    | spl15_23
    | spl15_49
    | ~ spl15_27
    | spl15_17
    | spl15_19
    | spl15_52
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s42,s62,s52,s202,s1284,s144,s137,s1148,s1565,s82,s300,s77,s127,s373,s418,s129,s1438,s585,s1187,s558,s1268,s101,s96,s91,s86,s117,s487,s36,s47,s67,s112,s1312,s107,s720,s120,s1550,s1488]) ).

cnf(s1567,plain,
    ( ~ spl15_55
    | spl15_23
    | spl15_101
    | spl15_17
    | spl15_19
    | spl15_52
    | spl15_6
    | spl15_11
    | spl15_3 ),
    inference(rat,[],[s62,s176,s42,s142,s52,s1565,s387,s1148,s130,s1378,s74,s79,s359,s1566,s341,s143,s107,s112,s720,s1312,s120,s67,s778,s1258,s135,s1564,s1550,s1380,s585,s1187,s101,s96,s91,s86,s117,s487,s47,s1531,s558,s36,s1268,s165,s1488]) ).

cnf(s1568,plain,
    ( ~ spl15_69
    | ~ spl15_27
    | spl15_19
    | spl15_6 ),
    inference(rat,[],[s418,s134,s136,s846,s1093,s585,s1187,s558,s36,s1268]) ).

cnf(s1569,plain,
    ( spl15_17
    | spl15_19
    | spl15_6
    | spl15_11
    | spl15_1 ),
    inference(rat,[],[s949,s124,s122,s496,s1242,s135,s160,s1309,s1481,s25,s441,s893,s1567,s57,s1568,s1158,s1156,s1224,s15,s36,s1268,s165,s1548,s1560,s1563]) ).

cnf(s1570,plain,
    ( spl15_49
    | spl15_34
    | spl15_23
    | spl15_97
    | ~ spl15_17
    | spl15_19
    | spl15_52
    | spl15_6 ),
    inference(rat,[],[s202,s148,s1414,s514,s146,s1334,s130,s29,s401,s1186,s1504,s1380,s166,s1045,s35]) ).

cnf(s1571,plain,
    ( ~ spl15_51
    | spl15_23
    | spl15_97
    | ~ spl15_17
    | spl15_19
    | spl15_52
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s1416,s48,s1570,s274,s232,s1336,s81,s76,s66,s112,s647,s35,s1488]) ).

cnf(s1572,plain,
    ( spl15_23
    | spl15_97
    | ~ spl15_17
    | spl15_19
    | spl15_52
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s92,s1293,s42,s158,s87,s102,s43,s48,s53,s58,s1191,s514,s1243,s1419,s105,s115,s33,s1231,s160,s97,s1571,s1380,s1045,s81,s76,s66,s112,s647,s35,s1488]) ).

cnf(s1573,plain,
    ( spl15_19
    | spl15_6
    | spl15_11
    | spl15_1 ),
    inference(rat,[],[s9,s1413,s1208,s1274,s1505,s856,s1415,s274,s1213,s401,s37,s29,s359,s130,s982,s25,s744,s1572,s1045,s35,s1206,s1569,s1380,s1560,s1563]) ).

cnf(s1574,plain,
    ( spl15_17
    | ~ spl15_19
    | spl15_52
    | spl15_6
    | spl15_1 ),
    inference(rat,[],[s145,s1199,s1151,s1408,s37,s135,s117,s1531,s1158,s86,s101,s487,s558,s585,s1187,s1224,s15,s36,s1268,s165,s1548,s1560,s1221,s209,s32]) ).

cnf(s1575,plain,
    ( spl15_101
    | spl15_97
    | ~ spl15_17
    | ~ spl15_19
    | spl15_6
    | spl15_3 ),
    inference(rat,[],[s146,s1413,s514,s9,s141,s1208,s497,s1410,s135,s167,s316,s209,s32,s166,s1336,s35]) ).

cnf(s1576,plain,
    ( spl15_6
    | spl15_11
    | spl15_1 ),
    inference(rat,[],[s42,s117,s107,s1012,s1345,s134,s1219,s1508,s524,s125,s87,s62,s27,s57,s496,s856,s972,s1195,s141,s102,s146,s567,s600,s1575,s52,s47,s171,s1320,s126,s112,s232,s647,s1336,s35,s166,s1206,s1574,s92,s97,s65,s75,s80,s209,s316,s1056,s1139,s1221,s32,s167,s1573,s1563,s1560,s1488]) ).

cnf(s1577,plain,
    ( spl15_11
    | spl15_1 ),
    inference(rat,[],[s1208,s9,s142,s1413,s972,s146,s1206,s36,s1522,s485,s1542,s138,s77,s373,s418,s1261,s136,s26,s1356,s87,s32,s524,s904,s1073,s1335,s2,s45,s50,s55,s60,s712,s1139,s1243,s97,s1523,s1524,s31,s957,s1157,s1576,s1550,s1560]) ).

cnf(s1578,plain,
    ( spl15_6
    | spl15_1 ),
    inference(rat,[],[s42,s117,s107,s87,s1012,s1188,s1191,s134,s102,s92,s37,s97,s524,s567,s1056,s1221,s140,s1410,s32,s167,s112,s1186,s1469,s76,s81,s647,s1224,s1336,s157,s35,s166,s1206,s1513,s1547,s1545,s1560,s1182,s1180,s1152,s1084,s1303,s59,s54,s49,s44,s29,s1185,s67,s184,s28,s1577,s1488]) ).

cnf(s1579,plain,
    spl15_1,
    inference(rat,[],[s133,s541,s1558,s146,s1132,s822,s136,s37,s1356,s32,s972,s1146,s2,s1139,s1243,s142,s1524,s31,s957,s1157,s1578,s410,s1185,s28,s756,s1084,s1152,s1577,s1560]) ).

cnf(s1580,plain,
    ( spl15_5
    | spl15_19
    | ~ spl15_52
    | spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s1437,s1445,s1459,s1483,s822,s1481,s160,s1476,s1380,s1330,s661]) ).

cnf(s1581,plain,
    ( spl15_19
    | ~ spl15_52
    | spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s1368,s1531,s21,s1529,s1580,s600,s1481,s33,s160,s1476,s1380,s1330,s661]) ).

cnf(s1582,plain,
    ( ~ spl15_52
    | spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s1490,s47,s25,s744,s1562,s1198,s1538,s1581,s661,s822]) ).

cnf(s1583,plain,
    ( spl15_17
    | spl15_19
    | spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s949,s124,s122,s496,s1242,s135,s160,s1309,s1481,s25,s441,s893,s1567,s57,s1158,s1156,s1224,s1568,s15,s36,s1268,s1533,s165,s1582]) ).

cnf(s1584,plain,
    ( spl15_23
    | spl15_19
    | spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s42,s95,s100,s87,s113,s103,s160,s92,s1255,s62,s150,s1419,s47,s26,s1226,s52,s126,s57,s176,s1146,s1265,s155,s387,s982,s1138,s142,s30,s130,s990,s1110,s1250,s1572,s1582,s1380,s1045,s232,s1336,s81,s76,s66,s1205,s7,s112,s647,s35,s1583,s1488,s1579]) ).

cnf(s1585,plain,
    ( spl15_19
    | spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s9,s1413,s1208,s1415,s127,s274,s1213,s418,s37,s29,s359,s1258,s130,s135,s982,s1309,s25,s744,s1584,s1205,s1045,s7,s35,s1583,s1380,s1582,s1579]) ).

cnf(s1586,plain,
    ( spl15_17
    | spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s145,s1199,s1151,s1408,s37,s135,s117,s1531,s1158,s86,s101,s487,s558,s585,s1187,s1224,s15,s36,s1268,s1533,s165,s1582,s1221,s209,s32,s1585]) ).

cnf(s1587,plain,
    ( spl15_3
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s893,s121,s125,s1093,s1508,s123,s26,s1219,s176,s732,s972,s1265,s127,s142,s1258,s990,s171,s135,s1575,s126,s1205,s232,s1336,s7,s35,s1586,s209,s1139,s1140,s32,s1585,s1579]) ).

cnf(s1588,plain,
    ( spl15_50
    | ~ spl15_59
    | spl15_41
    | spl15_57
    | spl15_63
    | ~ spl15_64
    | ~ spl15_80
    | ~ spl15_3
    | spl15_11 ),
    inference(rat,[],[s82,s39,s114,s109,s265,s129,s155,s1550,s56,s51,s46,s61,s107,s193,s34,s633,s92,s1293,s87,s778,s29,s1488]) ).

cnf(s1589,plain,
    ( ~ spl15_51
    | ~ spl15_80
    | spl15_19
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s117,s1026,s42,s145,s112,s79,s1151,s1588,s77,s418,s467,s134,s1192,s118,s67,s1549,s95,s100,s1248,s619,s678,s56,s51,s46,s61,s107,s193,s34,s633,s1587,s92,s1293,s87,s778,s1488]) ).

cnf(s1590,plain,
    ( ~ spl15_45
    | spl15_70
    | ~ spl15_3 ),
    inference(rat,[],[s144,s1137,s257,s3,s148,s1294,s514,s633,s619,s1295,s1,s1579]) ).

cnf(s1591,plain,
    ( spl15_19
    | spl15_6
    | spl15_11 ),
    inference(rat,[],[s117,s42,s1026,s73,s78,s145,s112,s25,s1162,s120,s137,s67,s1589,s1549,s85,s90,s95,s100,s160,s1550,s619,s678,s56,s51,s46,s61,s1295,s1,s107,s193,s34,s633,s33,s1590,s856,s1556,s1587,s1488,s1579]) ).

cnf(s1592,plain,
    ( spl15_6
    | spl15_11 ),
    inference(rat,[],[s1151,s37,s145,s1191,s1026,s135,s147,s209,s1193,s1221,s32,s1591,s678,s808,s34,s455,s619,s633,s1246,s1587]) ).

cnf(s1593,plain,
    ( ~ spl15_52
    | spl15_3
    | spl15_11 ),
    inference(rat,[],[s77,s1542,s373,s418,s1261,s136,s1356,s2,s26,s1296,s524,s904,s1073,s1335,s1519,s1550,s1157,s97,s1243,s60,s55,s50,s45,s32,s1139,s87,s712,s31,s957,s1592]) ).

cnf(s1594,plain,
    ( spl15_3
    | spl15_11 ),
    inference(rat,[],[s982,s130,s25,s359,s120,s37,s720,s1188,s143,s1018,s147,s232,s1045,s1336,s35,s166,s1522,s1593,s1550,s957,s1244,s1139,s764,s31,s1592]) ).

cnf(s1595,plain,
    spl15_11,
    inference(rat,[],[s37,s1226,s744,s137,s120,s1295,s678,s1,s34,s633,s1594,s32,s764,s1139,s31,s957,s1592,s1550,s1579]) ).

cnf(s1596,plain,
    ~ spl15_92,
    inference(rat,[],[s1182,s1595]) ).

cnf(s1597,plain,
    ~ spl15_94,
    inference(rat,[],[s1180,s1595]) ).

cnf(s1598,plain,
    ~ spl15_93,
    inference(rat,[],[s1153,s1595]) ).

cnf(s1599,plain,
    ~ spl15_95,
    inference(rat,[],[s1152,s1595]) ).

cnf(s1600,plain,
    ~ spl15_50,
    inference(rat,[],[s1084,s1595]) ).

cnf(s1601,plain,
    ~ spl15_35,
    inference(rat,[],[s756,s1595]) ).

cnf(s1602,plain,
    spl15_40,
    inference(rat,[],[s28,s1595]) ).

cnf(s1603,plain,
    ~ spl15_80,
    inference(rat,[],[s1304,s1602]) ).

cnf(s1604,plain,
    ~ spl15_42,
    inference(rat,[],[s1303,s1602]) ).

cnf(s1605,plain,
    ~ spl15_41,
    inference(rat,[],[s1185,s1602]) ).

cnf(s1607,plain,
    ~ spl15_88,
    inference(rat,[],[s410,s1602]) ).

cnf(s1608,plain,
    ~ spl15_71,
    inference(rat,[],[s184,s1602]) ).

cnf(s1609,plain,
    spl15_56,
    inference(rat,[],[s59,s1595,s1602]) ).

cnf(s1610,plain,
    spl15_55,
    inference(rat,[],[s54,s1595,s1602]) ).

cnf(s1611,plain,
    ~ spl15_54,
    inference(rat,[],[s49,s1595,s1602]) ).

cnf(s1612,plain,
    ~ spl15_53,
    inference(rat,[],[s44,s1595,s1602]) ).

cnf(s1614,plain,
    ~ spl15_57,
    inference(rat,[],[s67,s1608]) ).

cnf(s1615,plain,
    ( ~ spl15_17
    | spl15_3
    | spl15_6 ),
    inference(rat,[],[s38,s113,s103,s85,s90,s95,s100,s124,s37,s497,s1191,s142,s135,s112,s1205,s76,s81,s647,s1245,s1336,s7,s35,s1545,s1609,s1612,s1610,s1611,s1488,s1614,s1607,s1600,s1599,s1596,s1579,s1595]) ).

cnf(s1616,plain,
    ( spl15_17
    | spl15_3
    | spl15_6 ),
    inference(rat,[],[s1513,s1546,s1595]) ).

cnf(s1617,plain,
    ( spl15_3
    | spl15_6 ),
    inference(rat,[],[s1616,s1615]) ).

cnf(s1618,plain,
    spl15_6,
    inference(rat,[],[s1557,s34,s633,s1246,s1248,s1617,s1614,s1600,s1612,s1611,s1610,s1596,s1597,s1605,s1609]) ).

cnf(s1619,plain,
    ~ spl15_101,
    inference(rat,[],[s1157,s1618]) ).

cnf(s1620,plain,
    ~ spl15_51,
    inference(rat,[],[s957,s1618]) ).

cnf(s1621,plain,
    spl15_43,
    inference(rat,[],[s31,s1618]) ).

cnf(s1622,plain,
    ~ spl15_63,
    inference(rat,[],[s97,s1620]) ).

cnf(s1624,plain,
    ~ spl15_45,
    inference(rat,[],[s1243,s1621]) ).

cnf(s1625,plain,
    ~ spl15_44,
    inference(rat,[],[s1139,s1621]) ).

cnf(s1626,plain,
    ~ spl15_74,
    inference(rat,[],[s712,s1620,s1621]) ).

cnf(s1627,plain,
    ~ spl15_89,
    inference(rat,[],[s624,s1621]) ).

cnf(s1629,plain,
    ~ spl15_19,
    inference(rat,[],[s32,s1625]) ).

cnf(s1630,plain,
    spl15_61,
    inference(rat,[],[s87,s1626]) ).

cnf(s1631,plain,
    ~ spl15_39,
    inference(rat,[],[s1465,s92,s102,s901,s1163,s1173,s124,s144,s192,s106,s111,s116,s661,s822,s1330,s118,s37,s732,s1146,s1624,s1622,s1630,s1595,s1627,s1607,s1604,s1626,s1608,s1620,s1600]) ).

cnf(s1632,plain,
    ~ spl15_36,
    inference(rat,[],[s27,s1631]) ).

cnf(s1633,plain,
    spl15_3,
    inference(rat,[],[s142,s1599,s1619,s1631]) ).

cnf(s1635,plain,
    spl15_46,
    inference(rat,[],[s124,s1607,s1627,s1632]) ).

cnf(s1639,plain,
    ~ spl15_2,
    inference(rat,[],[s1,s1579,s1633]) ).

cnf(s1641,plain,
    ~ spl15_47,
    inference(rat,[],[s1245,s1635]) ).

cnf(s1644,plain,
    ~ spl15_103,
    inference(rat,[],[s1295,s1579,s1639]) ).

cnf(s1650,plain,
    spl15_76,
    inference(rat,[],[s161,s1619,s1624,s1644]) ).

cnf(s1651,plain,
    spl15_75,
    inference(rat,[],[s137,s1629,s1603,s1644]) ).

cnf(s1653,plain,
    ~ spl15_98,
    inference(rat,[],[s1161,s1650]) ).

cnf(s1656,plain,
    ~ spl15_78,
    inference(rat,[],[s1162,s1651]) ).

cnf(s1660,plain,
    spl15_90,
    inference(rat,[],[s132,s1601,s1641,s1653]) ).

cnf(s1663,plain,
    spl15_96,
    inference(rat,[],[s163,s1598,s1641,s1656]) ).

cnf(s1668,plain,
    spl15_9,
    inference(rat,[],[s1136,s1595,s1660]) ).

cnf(s1675,plain,
    ~ spl15_10,
    inference(rat,[],[s4,s1595,s1668]) ).

cnf(s1676,plain,
    $false,
    inference(rat,[],[s1233,s1663,s1668,s1675]) ).

fof(f5287,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1676]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG148+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17  % Computer : n019.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Mon Sep 28 19:35:48 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20  Running first-order model finding
% 0.06/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.29  % (148308)Will run a generic schedule for satisfiability detection.
% 0.35/0.29  % (148319)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2168560336:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.29  % (148313)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2578214122_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.29  % (148314)% WARNING: option uhcvi not known.
% 0.35/0.29  % (148316)dis+10_1_sil=32000:sp=arity:random_seed=2038410173:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.29  % (148315)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2799142518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.29  % (148317)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3479263868:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.29  % (148318)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4080590496:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.29  % (148314)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=277172316:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.29  % Detected minimum model sizes of [4]
% 0.35/0.29  % Detected maximum model sizes of [max]
% 0.35/0.29  % TRYING [4]
% 0.35/0.29  % TRYING [5]
% 0.35/0.29  % (148319) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-148308-148319"...
% 0.35/0.29  % TRYING [6]
% 0.35/0.29  % (148319)...printing done.
% 0.35/0.29  % (148319)Refutation found. Thanks to Tanya!
% 0.35/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.35/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.30  % (148319)------------------------------
% 0.35/0.30  % (148319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.30  % (148319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.31  % (148319)CaDiCaL version: 2.1.3
% 0.35/0.31  % (148319)Termination reason: Refutation
% 0.35/0.31  % (148319)Time elapsed: 0.054 s
% 0.35/0.31  % (148319)Peak memory usage: 14 MB
% 0.35/0.31  % (148319)Instructions burned: 177 (million)
% 0.35/0.31  % (148308)Success in time 0.086 s
% 0.35/0.31  % Vampire exiting
%------------------------------------------------------------------------------