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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG145+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:14:13 AM UTC 2026

% Result   : Unsatisfiable 5.84s 1.63s
% Output   : Refutation 7.32s
% 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(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e1) != e0
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e2) != e0
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) != e0
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e1,e0) != e1
      | op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e1,e2) != e1
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e1,e3) != e1
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e2,e0) != e2
      | op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e2,e1) != e2
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e2,e2) != e2
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e2,e3) != e2
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e3,e0) != e3
      | op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e1) != e3
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e2) != e3
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e3) != e3
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & op(e0,op(e0,e0)) != e0
        & op(e0,op(e0,e1)) != e1
        & op(e0,op(e0,e2)) != e2
        & op(e0,op(e0,e3)) != e3 )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & op(e0,op(e0,e0)) != e0
        & op(e0,op(e0,e1)) != e1
        & op(e0,op(e0,e2)) != e2
        & op(e0,op(e0,e3)) != e3 )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & op(e0,op(e0,e0)) != e0
        & op(e0,op(e0,e1)) != e1
        & op(e0,op(e0,e2)) != e2
        & op(e0,op(e0,e3)) != e3 )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & op(e0,op(e0,e0)) != e0
        & op(e0,op(e0,e1)) != e1
        & op(e0,op(e0,e2)) != e2
        & op(e0,op(e0,e3)) != e3 )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & op(e1,op(e1,e0)) != e0
        & op(e1,op(e1,e1)) != e1
        & op(e1,op(e1,e2)) != e2
        & op(e1,op(e1,e3)) != e3 )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & op(e1,op(e1,e0)) != e0
        & op(e1,op(e1,e1)) != e1
        & op(e1,op(e1,e2)) != e2
        & op(e1,op(e1,e3)) != e3 )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & op(e1,op(e1,e0)) != e0
        & op(e1,op(e1,e1)) != e1
        & op(e1,op(e1,e2)) != e2
        & op(e1,op(e1,e3)) != e3 )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & op(e1,op(e1,e0)) != e0
        & op(e1,op(e1,e1)) != e1
        & op(e1,op(e1,e2)) != e2
        & op(e1,op(e1,e3)) != e3 )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & op(e2,op(e2,e0)) != e0
        & op(e2,op(e2,e1)) != e1
        & op(e2,op(e2,e2)) != e2
        & op(e2,op(e2,e3)) != e3 )
      | ( op(e2,e1) = e2
        & op(e1,e2) = e2
        & op(e2,op(e2,e0)) != e0
        & op(e2,op(e2,e1)) != e1
        & op(e2,op(e2,e2)) != e2
        & op(e2,op(e2,e3)) != e3 )
      | ( op(e2,e2) = e2
        & op(e2,e2) = e2
        & op(e2,op(e2,e0)) != e0
        & op(e2,op(e2,e1)) != e1
        & op(e2,op(e2,e2)) != e2
        & op(e2,op(e2,e3)) != e3 )
      | ( op(e2,e3) = e2
        & op(e3,e2) = e2
        & op(e2,op(e2,e0)) != e0
        & op(e2,op(e2,e1)) != e1
        & op(e2,op(e2,e2)) != e2
        & op(e2,op(e2,e3)) != e3 )
      | ( op(e3,e0) = e3
        & op(e0,e3) = e3
        & op(e3,op(e3,e0)) != e0
        & op(e3,op(e3,e1)) != e1
        & op(e3,op(e3,e2)) != e2
        & op(e3,op(e3,e3)) != e3 )
      | ( op(e3,e1) = e3
        & op(e1,e3) = e3
        & op(e3,op(e3,e0)) != e0
        & op(e3,op(e3,e1)) != e1
        & op(e3,op(e3,e2)) != e2
        & op(e3,op(e3,e3)) != e3 )
      | ( op(e3,e2) = e3
        & op(e2,e3) = e3
        & op(e3,op(e3,e0)) != e0
        & op(e3,op(e3,e1)) != e1
        & op(e3,op(e3,e2)) != e2
        & op(e3,op(e3,e3)) != e3 )
      | ( op(e3,e3) = e3
        & op(e3,e3) = e3
        & op(e3,op(e3,e0)) != e0
        & op(e3,op(e3,e1)) != e1
        & op(e3,op(e3,e2)) != e2
        & op(e3,op(e3,e3)) != e3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f69,plain,
    ( ( op(e0,e0) != e0
      | op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e1) != e0
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e2) != e0
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) != e0
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e1,e0) != e1
      | op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e1,e1) != e1
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e1,e2) != e1
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e1,e3) != e1
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e2,e0) != e2
      | op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e2,e1) != e2
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e2,e2) != e2
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e2,e3) != e2
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e3,e0) != e3
      | op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e1) != e3
      | op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e2) != e3
      | op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e3) != e3
      | op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3 )
    & ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & op(e0,op(e0,e0)) != e0
        & op(e0,op(e0,e1)) != e1
        & op(e0,op(e0,e2)) != e2
        & op(e0,op(e0,e3)) != e3 )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    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) = e0
      & op(e1,e0) = e0
      & op(e0,op(e0,e0)) != e0
      & op(e0,op(e0,e1)) != e1
      & op(e0,op(e0,e2)) != e2
      & op(e0,op(e0,e3)) != e3 )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f68]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f84,plain,
    ( ( op(e3,e3) = e3
      & op(e3,e3) = e3
      & op(e3,op(e3,e0)) != e0
      & op(e3,op(e3,e1)) != e1
      & op(e3,op(e3,e2)) != e2
      & op(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(f86,plain,
    ( e0 = op(e3,e2)
    | e1 = op(e3,e2)
    | e2 = op(e3,e2)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f87,plain,
    ( e0 = op(e3,e1)
    | e1 = op(e3,e1)
    | e2 = op(e3,e1)
    | e3 = op(e3,e1) ),
    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(f89,plain,
    ( e0 = op(e2,e3)
    | e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e3 = op(e2,e3) ),
    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(f91,plain,
    ( e0 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    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(f99,plain,
    ( e0 = op(e0,e1)
    | e1 = op(e0,e1)
    | e2 = op(e0,e1)
    | e3 = op(e0,e1) ),
    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(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(f132,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e0,e1)
    | e0 = op(e0,e2)
    | e0 = op(e0,e3) ),
    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(f169,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f171,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f172,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f174,plain,
    op(e0,e1) != op(e1,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(f178,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f179,plain,
    op(e0,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,
    ( e3 != op(e0,op(e0,e3))
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

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

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

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

fof(f192,plain,
    ( e0 = op(e0,e1)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f193,plain,
    ( e3 != op(e0,op(e0,e3))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f194,plain,
    ( e2 != op(e0,op(e0,e2))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f195,plain,
    ( e1 != op(e0,op(e0,e1))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

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

fof(f197,plain,
    ( e0 = op(e2,e0)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f198,plain,
    ( e0 = op(e0,e2)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f200,plain,
    ( e2 != op(e0,op(e0,e2))
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f201,plain,
    ( e1 != op(e0,op(e0,e1))
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f202,plain,
    ( e0 != op(e0,op(e0,e0))
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f203,plain,
    ( e0 = op(e3,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f204,plain,
    ( e0 = op(e0,e3)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f205,plain,
    ( e3 != op(e1,op(e1,e3))
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f206,plain,
    ( e2 != op(e1,op(e1,e2))
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f207,plain,
    ( e1 != op(e1,op(e1,e1))
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f209,plain,
    ( e1 = op(e0,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f210,plain,
    ( e1 = op(e1,e0)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f213,plain,
    ( e1 != op(e1,op(e1,e1))
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f216,plain,
    ( e1 = op(e1,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f217,plain,
    ( e3 != op(e1,op(e1,e3))
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f220,plain,
    ( e0 != op(e1,op(e1,e0))
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f221,plain,
    ( e1 = op(e2,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f222,plain,
    ( e1 = op(e1,e2)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f224,plain,
    ( e2 != op(e1,op(e1,e2))
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f225,plain,
    ( e1 != op(e1,op(e1,e1))
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f226,plain,
    ( e0 != op(e1,op(e1,e0))
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f227,plain,
    ( e1 = op(e3,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f228,plain,
    ( e1 = op(e1,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f229,plain,
    ( e3 != op(e2,op(e2,e3))
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f231,plain,
    ( e1 != op(e2,op(e2,e1))
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f233,plain,
    ( e2 = op(e0,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f234,plain,
    ( e2 = op(e2,e0)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f235,plain,
    ( e3 != op(e2,op(e2,e3))
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f237,plain,
    ( e1 != op(e2,op(e2,e1))
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f238,plain,
    ( e0 != op(e2,op(e2,e0))
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f239,plain,
    ( e2 = op(e1,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f240,plain,
    ( e2 = op(e2,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f242,plain,
    ( e2 != op(e2,op(e2,e2))
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f246,plain,
    ( e2 = op(e2,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f247,plain,
    ( e3 != op(e2,op(e2,e3))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f249,plain,
    ( e1 != op(e2,op(e2,e1))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f250,plain,
    ( e0 != op(e2,op(e2,e0))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f251,plain,
    ( e2 = op(e3,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f252,plain,
    ( e2 = op(e2,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f253,plain,
    ( e3 != op(e3,op(e3,e3))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f254,plain,
    ( e2 != op(e3,op(e3,e2))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f255,plain,
    ( e1 != op(e3,op(e3,e1))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f256,plain,
    ( e0 != op(e3,op(e3,e0))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f257,plain,
    ( e3 = op(e0,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f258,plain,
    ( e3 = op(e3,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f259,plain,
    ( e3 != op(e3,op(e3,e3))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f260,plain,
    ( e2 != op(e3,op(e3,e2))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f262,plain,
    ( e0 != op(e3,op(e3,e0))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f263,plain,
    ( e3 = op(e1,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f264,plain,
    ( e3 = op(e3,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f266,plain,
    ( e2 != op(e3,op(e3,e2))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f267,plain,
    ( e1 != op(e3,op(e3,e1))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f268,plain,
    ( e0 != op(e3,op(e3,e0))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f269,plain,
    ( e3 = op(e2,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f270,plain,
    ( e3 = op(e3,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f271,plain,
    ( e3 != op(e3,op(e3,e3))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f276,plain,
    ( e3 = op(e3,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

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

fof(f284,plain,
    ( e3 != op(e3,e2)
    | op(e0,e0) = e2
    | e2 = op(e1,e1)
    | e2 = op(e2,e2)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f285,plain,
    ( e3 != op(e3,e1)
    | op(e0,e0) = e1
    | e1 = op(e1,e1)
    | e1 = op(e2,e2)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f286,plain,
    ( e3 != op(e3,e0)
    | e0 = op(e0,e0)
    | e0 = op(e1,e1)
    | e0 = op(e2,e2)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f287,plain,
    ( e2 != op(e2,e3)
    | op(e0,e0) = e3
    | e3 = op(e1,e1)
    | e3 = op(e2,e2)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f289,plain,
    ( e2 != op(e2,e1)
    | op(e0,e0) = e1
    | e1 = op(e1,e1)
    | e1 = op(e2,e2)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f290,plain,
    ( e2 != op(e2,e0)
    | e0 = op(e0,e0)
    | e0 = op(e1,e1)
    | e0 = op(e2,e2)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f291,plain,
    ( e1 != op(e1,e3)
    | op(e0,e0) = e3
    | e3 = op(e1,e1)
    | e3 = op(e2,e2)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f292,plain,
    ( e1 != op(e1,e2)
    | op(e0,e0) = e2
    | e2 = op(e1,e1)
    | e2 = op(e2,e2)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f294,plain,
    ( e1 != op(e1,e0)
    | e0 = op(e0,e0)
    | e0 = op(e1,e1)
    | e0 = op(e2,e2)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f295,plain,
    ( e0 != op(e0,e3)
    | op(e0,e0) = e3
    | e3 = op(e1,e1)
    | e3 = op(e2,e2)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f296,plain,
    ( e0 != op(e0,e2)
    | op(e0,e0) = e2
    | e2 = op(e1,e1)
    | e2 = op(e2,e2)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f297,plain,
    ( e0 != op(e0,e1)
    | op(e0,e0) = e1
    | e1 = op(e1,e1)
    | e1 = op(e2,e2)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f301,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f303,plain,
    ( e0 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f305,plain,
    ( e1 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f307,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f311,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f313,plain,
    ( e2 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f315,plain,
    ( e2 != op(op(e0,e0),e0)
    | e3 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f316,plain,
    ( e2 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f317,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f318,plain,
    ( e3 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f319,plain,
    ( e3 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f320,plain,
    ( e3 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f321,plain,
    ( e3 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f322,plain,
    ( e3 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f324,definition,
    ( spl15_1
  <=> e0 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).

fof(f325,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f328,definition,
    ( spl15_2
  <=> e2 = op(op(e1,e1),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).

fof(f330,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | spl15_2 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f332,definition,
    ( spl15_3
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).

fof(f333,plain,
    ( e3 = op(op(e1,e1),e1)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f334,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl15_3 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f335,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f322,f332,f328,f324]) ).

fof(f337,definition,
    ( spl15_4
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).

fof(f338,plain,
    ( op(e0,e0) = e1
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f341,definition,
    ( spl15_5
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).

fof(f343,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl15_5 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f345,definition,
    ( spl15_6
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).

fof(f347,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl15_6 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f348,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f321,f345,f341,f337]) ).

fof(f350,definition,
    ( spl15_7
  <=> e0 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).

fof(f351,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f354,definition,
    ( spl15_8
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).

fof(f356,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl15_8 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f358,definition,
    ( spl15_9
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).

fof(f360,plain,
    ( e3 != op(op(e2,e2),e2)
    | spl15_9 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f361,plain,
    ( ~ spl15_7
    | ~ spl15_8
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f320,f358,f354,f350]) ).

fof(f363,definition,
    ( spl15_10
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).

fof(f364,plain,
    ( op(e0,e0) = e2
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f367,definition,
    ( spl15_11
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).

fof(f369,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | spl15_11 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f370,plain,
    ( ~ spl15_10
    | ~ spl15_11
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f319,f345,f367,f363]) ).

fof(f372,definition,
    ( spl15_12
  <=> e1 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).

fof(f373,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f376,definition,
    ( spl15_13
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).

fof(f378,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl15_13 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f379,plain,
    ( ~ spl15_12
    | ~ spl15_13
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f318,f358,f376,f372]) ).

fof(f381,definition,
    ( spl15_14
  <=> e2 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).

fof(f382,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f385,definition,
    ( spl15_15
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).

fof(f387,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl15_15 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f388,plain,
    ( ~ spl15_14
    | ~ spl15_15
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f317,f332,f385,f381]) ).

fof(f390,definition,
    ( spl15_16
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).

fof(f391,plain,
    ( e3 = op(op(e1,e1),op(e1,e1))
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl15_16 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f394,definition,
    ( spl15_17
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).

fof(f396,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl15_17 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f397,plain,
    ( ~ spl15_1
    | ~ spl15_16
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f316,f394,f390,f324]) ).

fof(f399,definition,
    ( spl15_18
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_18])],[avatar_definition]) ).

fof(f401,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl15_18 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f403,definition,
    ( spl15_19
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_19])],[avatar_definition]) ).

fof(f405,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl15_19 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f406,plain,
    ( ~ spl15_4
    | ~ spl15_18
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f315,f403,f399,f337]) ).

fof(f408,definition,
    ( spl15_20
  <=> e0 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_20])],[avatar_definition]) ).

fof(f409,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_20 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f410,plain,
    ( e0 != op(e3,e3)
    | spl15_20 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f421,definition,
    ( spl15_23
  <=> op(e0,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[spl15_23])],[avatar_definition]) ).

fof(f422,plain,
    ( op(e0,e0) = e3
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f424,plain,
    ( ~ spl15_23
    | ~ spl15_11
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f313,f403,f367,f421]) ).

fof(f426,definition,
    ( spl15_24
  <=> e1 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_24])],[avatar_definition]) ).

fof(f427,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f428,plain,
    ( e1 != op(e3,e3)
    | spl15_24 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f435,definition,
    ( spl15_26
  <=> e3 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_26])],[avatar_definition]) ).

fof(f436,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_26 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f437,plain,
    ( e3 != op(e1,e1)
    | spl15_26 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f438,plain,
    ( ~ spl15_26
    | ~ spl15_15
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f311,f394,f385,f435]) ).

fof(f444,definition,
    ( spl15_28
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_28])],[avatar_definition]) ).

fof(f446,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl15_28 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f449,definition,
    ( spl15_29
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_29])],[avatar_definition]) ).

fof(f451,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl15_29 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f458,definition,
    ( spl15_31
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl15_31])],[avatar_definition]) ).

fof(f459,plain,
    ( e1 = op(op(e3,e3),e3)
    | ~ spl15_31 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl15_31 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f462,plain,
    ( ~ spl15_23
    | ~ spl15_5
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f307,f449,f341,f421]) ).

fof(f464,definition,
    ( spl15_32
  <=> e2 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_32])],[avatar_definition]) ).

fof(f465,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f469,definition,
    ( spl15_33
  <=> e3 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_33])],[avatar_definition]) ).

fof(f470,plain,
    ( e3 = op(e2,e2)
    | ~ spl15_33 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f472,plain,
    ( ~ spl15_33
    | ~ spl15_13
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f305,f444,f376,f469]) ).

fof(f479,definition,
    ( spl15_35
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_35])],[avatar_definition]) ).

fof(f481,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl15_35 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f482,plain,
    ( ~ spl15_14
    | ~ spl15_16
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f303,f479,f390,f381]) ).

fof(f484,definition,
    ( spl15_36
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(definition,[new_symbols(definition,[spl15_36])],[avatar_definition]) ).

fof(f485,plain,
    ( e0 = op(op(e3,e3),e3)
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl15_36 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f488,plain,
    ( ~ spl15_26
    | ~ spl15_2
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f301,f479,f328,f435]) ).

fof(f492,definition,
    ( spl15_37
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl15_37])],[avatar_definition]) ).

fof(f496,definition,
    ( spl15_38
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl15_38])],[avatar_definition]) ).

fof(f500,definition,
    ( spl15_39
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl15_39])],[avatar_definition]) ).

fof(f504,definition,
    ( spl15_40
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl15_40])],[avatar_definition]) ).

fof(f508,definition,
    ( spl15_41
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl15_41])],[avatar_definition]) ).

fof(f512,definition,
    ( spl15_42
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl15_42])],[avatar_definition]) ).

fof(f516,definition,
    ( spl15_43
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl15_43])],[avatar_definition]) ).

fof(f520,definition,
    ( spl15_44
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl15_44])],[avatar_definition]) ).

fof(f524,definition,
    ( spl15_45
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl15_45])],[avatar_definition]) ).

fof(f528,definition,
    ( spl15_46
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl15_46])],[avatar_definition]) ).

fof(f532,definition,
    ( spl15_47
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl15_47])],[avatar_definition]) ).

fof(f536,definition,
    ( spl15_48
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl15_48])],[avatar_definition]) ).

fof(f540,definition,
    ( spl15_49
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl15_49])],[avatar_definition]) ).

fof(f544,definition,
    ( spl15_50
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl15_50])],[avatar_definition]) ).

fof(f548,definition,
    ( spl15_51
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl15_51])],[avatar_definition]) ).

fof(f552,definition,
    ( spl15_52
  <=> e3 = op(e0,op(e0,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_52])],[avatar_definition]) ).

fof(f553,plain,
    ( e3 = op(e0,op(e0,e3))
    | ~ spl15_52 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f554,plain,
    ( e3 != op(e0,op(e0,e3))
    | spl15_52 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f557,definition,
    ( spl15_53
  <=> e2 = op(e0,op(e0,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_53])],[avatar_definition]) ).

fof(f559,plain,
    ( e2 != op(e0,op(e0,e2))
    | spl15_53 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f562,definition,
    ( spl15_54
  <=> e1 = op(e0,op(e0,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_54])],[avatar_definition]) ).

fof(f563,plain,
    ( e1 = op(e0,op(e0,e1))
    | ~ spl15_54 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f564,plain,
    ( e1 != op(e0,op(e0,e1))
    | spl15_54 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f567,definition,
    ( spl15_55
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_55])],[avatar_definition]) ).

fof(f568,plain,
    ( e0 = op(e0,op(e0,e0))
    | ~ spl15_55 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( e0 != op(e0,op(e0,e0))
    | spl15_55 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f570,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f280,f567,f548,f544,f540,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492]) ).

fof(f572,definition,
    ( spl15_56
  <=> e0 = op(e0,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_56])],[avatar_definition]) ).

fof(f574,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_56 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f576,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | spl15_56 ),
    inference(avatar_split_clause,[],[f282,f572,f548,f544,f540,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492]) ).

fof(f578,definition,
    ( spl15_57
  <=> e2 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_57])],[avatar_definition]) ).

fof(f580,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_57 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f582,definition,
    ( spl15_58
  <=> e3 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_58])],[avatar_definition]) ).

fof(f583,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_58 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( spl15_32
    | spl15_57
    | spl15_14
    | spl15_10
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f284,f582,f363,f381,f578,f464]) ).

fof(f587,definition,
    ( spl15_59
  <=> e1 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_59])],[avatar_definition]) ).

fof(f589,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_59 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f591,definition,
    ( spl15_60
  <=> e3 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_60])],[avatar_definition]) ).

fof(f592,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_60 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f594,plain,
    ( spl15_24
    | spl15_12
    | spl15_59
    | spl15_4
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f285,f591,f337,f587,f372,f426]) ).

fof(f596,definition,
    ( spl15_61
  <=> e3 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_61])],[avatar_definition]) ).

fof(f597,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_61 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f599,plain,
    ( spl15_20
    | spl15_7
    | spl15_1
    | spl15_56
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f286,f596,f572,f324,f350,f408]) ).

fof(f601,definition,
    ( spl15_62
  <=> e3 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_62])],[avatar_definition]) ).

fof(f603,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_62 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f605,definition,
    ( spl15_63
  <=> e2 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_63])],[avatar_definition]) ).

fof(f606,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_63 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f608,plain,
    ( spl15_62
    | spl15_33
    | spl15_26
    | spl15_23
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f287,f605,f421,f435,f469,f601]) ).

fof(f610,definition,
    ( spl15_64
  <=> e2 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_64])],[avatar_definition]) ).

fof(f611,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_64 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( spl15_24
    | spl15_12
    | spl15_59
    | spl15_4
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f289,f610,f337,f587,f372,f426]) ).

fof(f615,definition,
    ( spl15_65
  <=> e2 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_65])],[avatar_definition]) ).

fof(f616,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_65 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( spl15_20
    | spl15_7
    | spl15_1
    | spl15_56
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f290,f615,f572,f324,f350,f408]) ).

fof(f620,definition,
    ( spl15_66
  <=> e1 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_66])],[avatar_definition]) ).

fof(f621,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_66 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( e1 != op(e1,e3)
    | spl15_66 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( spl15_62
    | spl15_33
    | spl15_26
    | spl15_23
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f291,f620,f421,f435,f469,f601]) ).

fof(f625,definition,
    ( spl15_67
  <=> e1 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_67])],[avatar_definition]) ).

fof(f626,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_67 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( spl15_32
    | spl15_57
    | spl15_14
    | spl15_10
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f292,f625,f363,f381,f578,f464]) ).

fof(f630,definition,
    ( spl15_68
  <=> e1 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_68])],[avatar_definition]) ).

fof(f631,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_68 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( spl15_20
    | spl15_7
    | spl15_1
    | spl15_56
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f294,f630,f572,f324,f350,f408]) ).

fof(f635,definition,
    ( spl15_69
  <=> e0 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_69])],[avatar_definition]) ).

fof(f636,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( spl15_62
    | spl15_33
    | spl15_26
    | spl15_23
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f295,f635,f421,f435,f469,f601]) ).

fof(f640,definition,
    ( spl15_70
  <=> e0 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_70])],[avatar_definition]) ).

fof(f641,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_70 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( spl15_32
    | spl15_57
    | spl15_14
    | spl15_10
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f296,f640,f363,f381,f578,f464]) ).

fof(f645,definition,
    ( spl15_71
  <=> e0 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_71])],[avatar_definition]) ).

fof(f646,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_71 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f648,plain,
    ( spl15_24
    | spl15_12
    | spl15_59
    | spl15_4
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f297,f645,f337,f587,f372,f426]) ).

fof(f650,definition,
    ( spl15_72
  <=> e3 = op(e3,op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_72])],[avatar_definition]) ).

fof(f651,plain,
    ( e3 = op(e3,op(e3,e3))
    | ~ spl15_72 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( e3 != op(e3,op(e3,e3))
    | spl15_72 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( ~ spl15_37
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f271,f650,f492]) ).

fof(f655,definition,
    ( spl15_73
  <=> e2 = op(e3,op(e3,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_73])],[avatar_definition]) ).

fof(f656,plain,
    ( e2 = op(e3,op(e3,e2))
    | ~ spl15_73 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( e2 != op(e3,op(e3,e2))
    | spl15_73 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f660,definition,
    ( spl15_74
  <=> e1 = op(e3,op(e3,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_74])],[avatar_definition]) ).

fof(f662,plain,
    ( e1 != op(e3,op(e3,e1))
    | spl15_74 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f665,definition,
    ( spl15_75
  <=> e0 = op(e3,op(e3,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_75])],[avatar_definition]) ).

fof(f667,plain,
    ( e0 != op(e3,op(e3,e0))
    | spl15_75 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f670,plain,
    ( ~ spl15_37
    | spl15_62 ),
    inference(avatar_split_clause,[],[f276,f601,f492]) ).

fof(f672,plain,
    ( ~ spl15_38
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f266,f655,f496]) ).

fof(f673,plain,
    ( ~ spl15_38
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f267,f660,f496]) ).

fof(f674,plain,
    ( ~ spl15_38
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f268,f665,f496]) ).

fof(f676,definition,
    ( spl15_76
  <=> e3 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_76])],[avatar_definition]) ).

fof(f678,plain,
    ( e3 = op(e2,e3)
    | ~ spl15_76 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( ~ spl15_38
    | spl15_76 ),
    inference(avatar_split_clause,[],[f269,f676,f496]) ).

fof(f680,plain,
    ( ~ spl15_38
    | spl15_58 ),
    inference(avatar_split_clause,[],[f270,f582,f496]) ).

fof(f681,plain,
    ( ~ spl15_39
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f259,f650,f500]) ).

fof(f682,plain,
    ( ~ spl15_39
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f260,f655,f500]) ).

fof(f684,plain,
    ( ~ spl15_39
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f262,f665,f500]) ).

fof(f686,definition,
    ( spl15_77
  <=> e3 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_77])],[avatar_definition]) ).

fof(f688,plain,
    ( e3 = op(e1,e3)
    | ~ spl15_77 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f689,plain,
    ( ~ spl15_39
    | spl15_77 ),
    inference(avatar_split_clause,[],[f263,f686,f500]) ).

fof(f690,plain,
    ( ~ spl15_39
    | spl15_60 ),
    inference(avatar_split_clause,[],[f264,f591,f500]) ).

fof(f691,plain,
    ( ~ spl15_40
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f253,f650,f504]) ).

fof(f692,plain,
    ( ~ spl15_40
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f254,f655,f504]) ).

fof(f693,plain,
    ( ~ spl15_40
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f255,f660,f504]) ).

fof(f694,plain,
    ( ~ spl15_40
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f256,f665,f504]) ).

fof(f696,definition,
    ( spl15_78
  <=> e3 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_78])],[avatar_definition]) ).

fof(f698,plain,
    ( e3 = op(e0,e3)
    | ~ spl15_78 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f699,plain,
    ( ~ spl15_40
    | spl15_78 ),
    inference(avatar_split_clause,[],[f257,f696,f504]) ).

fof(f700,plain,
    ( ~ spl15_40
    | spl15_61 ),
    inference(avatar_split_clause,[],[f258,f596,f504]) ).

fof(f702,definition,
    ( spl15_79
  <=> e3 = op(e2,op(e2,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_79])],[avatar_definition]) ).

fof(f704,plain,
    ( e3 != op(e2,op(e2,e3))
    | spl15_79 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( ~ spl15_41
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f247,f702,f508]) ).

fof(f707,definition,
    ( spl15_80
  <=> e2 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_80])],[avatar_definition]) ).

fof(f709,plain,
    ( e2 != op(e2,op(e2,e2))
    | spl15_80 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f712,definition,
    ( spl15_81
  <=> e1 = op(e2,op(e2,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_81])],[avatar_definition]) ).

fof(f714,plain,
    ( e1 != op(e2,op(e2,e1))
    | spl15_81 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f715,plain,
    ( ~ spl15_41
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f249,f712,f508]) ).

fof(f717,definition,
    ( spl15_82
  <=> e0 = op(e2,op(e2,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_82])],[avatar_definition]) ).

fof(f719,plain,
    ( e0 != op(e2,op(e2,e0))
    | spl15_82 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( ~ spl15_41
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f250,f717,f508]) ).

fof(f722,definition,
    ( spl15_83
  <=> e2 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_83])],[avatar_definition]) ).

fof(f724,plain,
    ( e2 = op(e3,e2)
    | ~ spl15_83 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( ~ spl15_41
    | spl15_83 ),
    inference(avatar_split_clause,[],[f251,f722,f508]) ).

fof(f726,plain,
    ( ~ spl15_41
    | spl15_63 ),
    inference(avatar_split_clause,[],[f252,f605,f508]) ).

fof(f728,plain,
    ( ~ spl15_42
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f242,f707,f512]) ).

fof(f732,plain,
    ( ~ spl15_42
    | spl15_57 ),
    inference(avatar_split_clause,[],[f246,f578,f512]) ).

fof(f733,plain,
    ( ~ spl15_43
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f235,f702,f516]) ).

fof(f735,plain,
    ( ~ spl15_43
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f237,f712,f516]) ).

fof(f736,plain,
    ( ~ spl15_43
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f238,f717,f516]) ).

fof(f738,definition,
    ( spl15_84
  <=> e2 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_84])],[avatar_definition]) ).

fof(f740,plain,
    ( e2 = op(e1,e2)
    | ~ spl15_84 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( ~ spl15_43
    | spl15_84 ),
    inference(avatar_split_clause,[],[f239,f738,f516]) ).

fof(f742,plain,
    ( ~ spl15_43
    | spl15_64 ),
    inference(avatar_split_clause,[],[f240,f610,f516]) ).

fof(f743,plain,
    ( ~ spl15_44
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f229,f702,f520]) ).

fof(f745,plain,
    ( ~ spl15_44
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f231,f712,f520]) ).

fof(f748,definition,
    ( spl15_85
  <=> e2 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_85])],[avatar_definition]) ).

fof(f750,plain,
    ( e2 = op(e0,e2)
    | ~ spl15_85 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( ~ spl15_44
    | spl15_85 ),
    inference(avatar_split_clause,[],[f233,f748,f520]) ).

fof(f752,plain,
    ( ~ spl15_44
    | spl15_65 ),
    inference(avatar_split_clause,[],[f234,f615,f520]) ).

fof(f754,definition,
    ( spl15_86
  <=> e3 = op(e1,op(e1,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_86])],[avatar_definition]) ).

fof(f756,plain,
    ( e3 != op(e1,op(e1,e3))
    | spl15_86 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f759,definition,
    ( spl15_87
  <=> e2 = op(e1,op(e1,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_87])],[avatar_definition]) ).

fof(f760,plain,
    ( e2 = op(e1,op(e1,e2))
    | ~ spl15_87 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f761,plain,
    ( e2 != op(e1,op(e1,e2))
    | spl15_87 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f762,plain,
    ( ~ spl15_45
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f224,f759,f524]) ).

fof(f764,definition,
    ( spl15_88
  <=> e1 = op(e1,op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_88])],[avatar_definition]) ).

fof(f765,plain,
    ( e1 = op(e1,op(e1,e1))
    | ~ spl15_88 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f766,plain,
    ( e1 != op(e1,op(e1,e1))
    | spl15_88 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl15_45
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f225,f764,f524]) ).

fof(f769,definition,
    ( spl15_89
  <=> e0 = op(e1,op(e1,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_89])],[avatar_definition]) ).

fof(f771,plain,
    ( e0 != op(e1,op(e1,e0))
    | spl15_89 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( ~ spl15_45
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f226,f769,f524]) ).

fof(f774,definition,
    ( spl15_90
  <=> e1 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_90])],[avatar_definition]) ).

fof(f776,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_90 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f777,plain,
    ( ~ spl15_45
    | spl15_90 ),
    inference(avatar_split_clause,[],[f227,f774,f524]) ).

fof(f778,plain,
    ( ~ spl15_45
    | spl15_66 ),
    inference(avatar_split_clause,[],[f228,f620,f524]) ).

fof(f779,plain,
    ( ~ spl15_46
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f217,f754,f528]) ).

fof(f782,plain,
    ( ~ spl15_46
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f220,f769,f528]) ).

fof(f784,definition,
    ( spl15_91
  <=> e1 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_91])],[avatar_definition]) ).

fof(f786,plain,
    ( e1 = op(e2,e1)
    | ~ spl15_91 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f787,plain,
    ( ~ spl15_46
    | spl15_91 ),
    inference(avatar_split_clause,[],[f221,f784,f528]) ).

fof(f788,plain,
    ( ~ spl15_46
    | spl15_67 ),
    inference(avatar_split_clause,[],[f222,f625,f528]) ).

fof(f791,plain,
    ( ~ spl15_47
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f213,f764,f532]) ).

fof(f794,plain,
    ( ~ spl15_47
    | spl15_59 ),
    inference(avatar_split_clause,[],[f216,f587,f532]) ).

fof(f795,plain,
    ( ~ spl15_48
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f205,f754,f536]) ).

fof(f796,plain,
    ( ~ spl15_48
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f206,f759,f536]) ).

fof(f797,plain,
    ( ~ spl15_48
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f207,f764,f536]) ).

fof(f800,definition,
    ( spl15_92
  <=> e1 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_92])],[avatar_definition]) ).

fof(f802,plain,
    ( e1 = op(e0,e1)
    | ~ spl15_92 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f803,plain,
    ( ~ spl15_48
    | spl15_92 ),
    inference(avatar_split_clause,[],[f209,f800,f536]) ).

fof(f804,plain,
    ( ~ spl15_48
    | spl15_68 ),
    inference(avatar_split_clause,[],[f210,f630,f536]) ).

fof(f806,plain,
    ( ~ spl15_49
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f200,f557,f540]) ).

fof(f807,plain,
    ( ~ spl15_49
    | ~ spl15_54 ),
    inference(avatar_split_clause,[],[f201,f562,f540]) ).

fof(f808,plain,
    ( ~ spl15_49
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f202,f567,f540]) ).

fof(f810,definition,
    ( spl15_93
  <=> e0 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_93])],[avatar_definition]) ).

fof(f812,plain,
    ( e0 = op(e3,e0)
    | ~ spl15_93 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl15_49
    | spl15_93 ),
    inference(avatar_split_clause,[],[f203,f810,f540]) ).

fof(f814,plain,
    ( ~ spl15_49
    | spl15_69 ),
    inference(avatar_split_clause,[],[f204,f635,f540]) ).

fof(f815,plain,
    ( ~ spl15_50
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f193,f552,f544]) ).

fof(f816,plain,
    ( ~ spl15_50
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f194,f557,f544]) ).

fof(f817,plain,
    ( ~ spl15_50
    | ~ spl15_54 ),
    inference(avatar_split_clause,[],[f195,f562,f544]) ).

fof(f818,plain,
    ( ~ spl15_50
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f196,f567,f544]) ).

fof(f820,definition,
    ( spl15_94
  <=> e0 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_94])],[avatar_definition]) ).

fof(f822,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_94 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f823,plain,
    ( ~ spl15_50
    | spl15_94 ),
    inference(avatar_split_clause,[],[f197,f820,f544]) ).

fof(f824,plain,
    ( ~ spl15_50
    | spl15_70 ),
    inference(avatar_split_clause,[],[f198,f640,f544]) ).

fof(f825,plain,
    ( ~ spl15_51
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f187,f552,f548]) ).

fof(f826,plain,
    ( ~ spl15_51
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f188,f557,f548]) ).

fof(f828,plain,
    ( ~ spl15_51
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f190,f567,f548]) ).

fof(f830,definition,
    ( spl15_95
  <=> e0 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_95])],[avatar_definition]) ).

fof(f832,plain,
    ( e0 = op(e1,e0)
    | ~ spl15_95 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f833,plain,
    ( ~ spl15_51
    | spl15_95 ),
    inference(avatar_split_clause,[],[f191,f830,f548]) ).

fof(f834,plain,
    ( ~ spl15_51
    | spl15_71 ),
    inference(avatar_split_clause,[],[f192,f645,f548]) ).

fof(f835,plain,
    ( spl15_62
    | spl15_76
    | spl15_77
    | spl15_78 ),
    inference(avatar_split_clause,[],[f101,f696,f686,f676,f601]) ).

fof(f838,definition,
    ( spl15_96
  <=> e2 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_96])],[avatar_definition]) ).

fof(f840,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_96 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f842,definition,
    ( spl15_97
  <=> e2 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_97])],[avatar_definition]) ).

fof(f844,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_97 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f845,plain,
    ( spl15_32
    | spl15_63
    | spl15_96
    | spl15_97 ),
    inference(avatar_split_clause,[],[f103,f842,f838,f605,f464]) ).

fof(f847,definition,
    ( spl15_98
  <=> e2 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_98])],[avatar_definition]) ).

fof(f849,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_98 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f851,definition,
    ( spl15_99
  <=> e2 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_99])],[avatar_definition]) ).

fof(f853,plain,
    ( e2 = op(e3,e0)
    | ~ spl15_99 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl15_32
    | spl15_83
    | spl15_98
    | spl15_99 ),
    inference(avatar_split_clause,[],[f104,f851,f847,f722,f464]) ).

fof(f856,definition,
    ( spl15_100
  <=> e1 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_100])],[avatar_definition]) ).

fof(f858,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f860,definition,
    ( spl15_101
  <=> e1 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_101])],[avatar_definition]) ).

fof(f862,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_101 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( spl15_24
    | spl15_100
    | spl15_66
    | spl15_101 ),
    inference(avatar_split_clause,[],[f105,f860,f620,f856,f426]) ).

fof(f865,definition,
    ( spl15_102
  <=> e1 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_102])],[avatar_definition]) ).

fof(f867,plain,
    ( e1 = op(e3,e2)
    | ~ spl15_102 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f869,definition,
    ( spl15_103
  <=> e1 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_103])],[avatar_definition]) ).

fof(f871,plain,
    ( e1 = op(e3,e0)
    | ~ spl15_103 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f872,plain,
    ( spl15_24
    | spl15_102
    | spl15_90
    | spl15_103 ),
    inference(avatar_split_clause,[],[f106,f869,f774,f865,f426]) ).

fof(f874,definition,
    ( spl15_104
  <=> e0 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_104])],[avatar_definition]) ).

fof(f876,plain,
    ( e0 = op(e2,e3)
    | ~ spl15_104 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f878,definition,
    ( spl15_105
  <=> e0 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_105])],[avatar_definition]) ).

fof(f880,plain,
    ( e0 = op(e1,e3)
    | ~ spl15_105 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f881,plain,
    ( spl15_20
    | spl15_104
    | spl15_105
    | spl15_69 ),
    inference(avatar_split_clause,[],[f107,f635,f878,f874,f408]) ).

fof(f883,definition,
    ( spl15_106
  <=> e0 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_106])],[avatar_definition]) ).

fof(f885,plain,
    ( e0 = op(e3,e2)
    | ~ spl15_106 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f887,definition,
    ( spl15_107
  <=> e0 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_107])],[avatar_definition]) ).

fof(f889,plain,
    ( e0 = op(e3,e1)
    | ~ spl15_107 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( spl15_20
    | spl15_106
    | spl15_107
    | spl15_93 ),
    inference(avatar_split_clause,[],[f108,f810,f887,f883,f408]) ).

fof(f892,definition,
    ( spl15_108
  <=> e3 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_108])],[avatar_definition]) ).

fof(f894,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_108 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f896,definition,
    ( spl15_109
  <=> e3 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_109])],[avatar_definition]) ).

fof(f898,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_109 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( spl15_58
    | spl15_33
    | spl15_108
    | spl15_109 ),
    inference(avatar_split_clause,[],[f109,f896,f892,f469,f582]) ).

fof(f901,definition,
    ( spl15_110
  <=> e3 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_110])],[avatar_definition]) ).

fof(f903,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_110 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f905,definition,
    ( spl15_111
  <=> e3 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_111])],[avatar_definition]) ).

fof(f907,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_111 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f908,plain,
    ( spl15_76
    | spl15_33
    | spl15_110
    | spl15_111 ),
    inference(avatar_split_clause,[],[f110,f905,f901,f469,f676]) ).

fof(f909,plain,
    ( spl15_83
    | spl15_57
    | spl15_84
    | spl15_85 ),
    inference(avatar_split_clause,[],[f111,f748,f738,f578,f722]) ).

fof(f910,plain,
    ( spl15_63
    | spl15_57
    | spl15_64
    | spl15_65 ),
    inference(avatar_split_clause,[],[f112,f615,f610,f578,f605]) ).

fof(f912,definition,
    ( spl15_112
  <=> e1 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_112])],[avatar_definition]) ).

fof(f914,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_112 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl15_102
    | spl15_12
    | spl15_67
    | spl15_112 ),
    inference(avatar_split_clause,[],[f113,f912,f625,f372,f865]) ).

fof(f917,definition,
    ( spl15_113
  <=> e1 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_113])],[avatar_definition]) ).

fof(f919,plain,
    ( e1 = op(e2,e0)
    | ~ spl15_113 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f920,plain,
    ( spl15_100
    | spl15_12
    | spl15_91
    | spl15_113 ),
    inference(avatar_split_clause,[],[f114,f917,f784,f372,f856]) ).

fof(f922,definition,
    ( spl15_114
  <=> e0 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_114])],[avatar_definition]) ).

fof(f924,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_114 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( spl15_106
    | spl15_7
    | spl15_114
    | spl15_70 ),
    inference(avatar_split_clause,[],[f115,f640,f922,f350,f883]) ).

fof(f927,definition,
    ( spl15_115
  <=> e0 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_115])],[avatar_definition]) ).

fof(f929,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_115 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( spl15_104
    | spl15_7
    | spl15_115
    | spl15_94 ),
    inference(avatar_split_clause,[],[f116,f820,f927,f350,f874]) ).

fof(f932,definition,
    ( spl15_116
  <=> e3 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_116])],[avatar_definition]) ).

fof(f933,plain,
    ( e3 != op(e0,e1)
    | spl15_116 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f934,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_116 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f935,plain,
    ( spl15_60
    | spl15_110
    | spl15_26
    | spl15_116 ),
    inference(avatar_split_clause,[],[f117,f932,f435,f901,f591]) ).

fof(f937,definition,
    ( spl15_117
  <=> e3 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_117])],[avatar_definition]) ).

fof(f939,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_117 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f940,plain,
    ( spl15_77
    | spl15_108
    | spl15_26
    | spl15_117 ),
    inference(avatar_split_clause,[],[f118,f937,f435,f892,f686]) ).

fof(f942,definition,
    ( spl15_118
  <=> e2 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_118])],[avatar_definition]) ).

fof(f944,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_118 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f945,plain,
    ( spl15_98
    | spl15_64
    | spl15_14
    | spl15_118 ),
    inference(avatar_split_clause,[],[f119,f942,f381,f610,f847]) ).

fof(f947,definition,
    ( spl15_119
  <=> e2 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_119])],[avatar_definition]) ).

fof(f949,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_119 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f950,plain,
    ( spl15_96
    | spl15_84
    | spl15_14
    | spl15_119 ),
    inference(avatar_split_clause,[],[f120,f947,f381,f738,f838]) ).

fof(f951,plain,
    ( spl15_90
    | spl15_91
    | spl15_59
    | spl15_92 ),
    inference(avatar_split_clause,[],[f121,f800,f587,f784,f774]) ).

fof(f952,plain,
    ( spl15_66
    | spl15_67
    | spl15_59
    | spl15_68 ),
    inference(avatar_split_clause,[],[f122,f630,f587,f625,f620]) ).

fof(f953,plain,
    ( spl15_107
    | spl15_115
    | spl15_1
    | spl15_71 ),
    inference(avatar_split_clause,[],[f123,f645,f324,f927,f887]) ).

fof(f954,plain,
    ( spl15_105
    | spl15_114
    | spl15_1
    | spl15_95 ),
    inference(avatar_split_clause,[],[f124,f830,f324,f922,f878]) ).

fof(f955,plain,
    ( spl15_61
    | spl15_111
    | spl15_117
    | spl15_23 ),
    inference(avatar_split_clause,[],[f125,f421,f937,f905,f596]) ).

fof(f956,plain,
    ( spl15_78
    | spl15_109
    | spl15_116
    | spl15_23 ),
    inference(avatar_split_clause,[],[f126,f421,f932,f896,f696]) ).

fof(f957,plain,
    ( spl15_99
    | spl15_65
    | spl15_119
    | spl15_10 ),
    inference(avatar_split_clause,[],[f127,f363,f947,f615,f851]) ).

fof(f958,plain,
    ( spl15_97
    | spl15_85
    | spl15_118
    | spl15_10 ),
    inference(avatar_split_clause,[],[f128,f363,f942,f748,f842]) ).

fof(f959,plain,
    ( spl15_103
    | spl15_113
    | spl15_68
    | spl15_4 ),
    inference(avatar_split_clause,[],[f129,f337,f630,f917,f869]) ).

fof(f960,plain,
    ( spl15_101
    | spl15_112
    | spl15_92
    | spl15_4 ),
    inference(avatar_split_clause,[],[f130,f337,f800,f912,f860]) ).

fof(f961,plain,
    ( spl15_93
    | spl15_94
    | spl15_95
    | spl15_56 ),
    inference(avatar_split_clause,[],[f131,f572,f830,f820,f810]) ).

fof(f962,plain,
    ( spl15_69
    | spl15_70
    | spl15_71
    | spl15_56 ),
    inference(avatar_split_clause,[],[f132,f572,f645,f640,f635]) ).

fof(f963,plain,
    ( spl15_62
    | spl15_32
    | spl15_24
    | spl15_20 ),
    inference(avatar_split_clause,[],[f85,f408,f426,f464,f601]) ).

fof(f964,plain,
    ( spl15_58
    | spl15_83
    | spl15_102
    | spl15_106 ),
    inference(avatar_split_clause,[],[f86,f883,f865,f722,f582]) ).

fof(f965,plain,
    ( spl15_60
    | spl15_98
    | spl15_90
    | spl15_107 ),
    inference(avatar_split_clause,[],[f87,f887,f774,f847,f591]) ).

fof(f966,plain,
    ( spl15_61
    | spl15_99
    | spl15_103
    | spl15_93 ),
    inference(avatar_split_clause,[],[f88,f810,f869,f851,f596]) ).

fof(f967,plain,
    ( spl15_76
    | spl15_63
    | spl15_100
    | spl15_104 ),
    inference(avatar_split_clause,[],[f89,f874,f856,f605,f676]) ).

fof(f968,plain,
    ( spl15_33
    | spl15_57
    | spl15_12
    | spl15_7 ),
    inference(avatar_split_clause,[],[f90,f350,f372,f578,f469]) ).

fof(f969,plain,
    ( spl15_110
    | spl15_64
    | spl15_91
    | spl15_115 ),
    inference(avatar_split_clause,[],[f91,f927,f784,f610,f901]) ).

fof(f970,plain,
    ( spl15_111
    | spl15_65
    | spl15_113
    | spl15_94 ),
    inference(avatar_split_clause,[],[f92,f820,f917,f615,f905]) ).

fof(f971,plain,
    ( spl15_77
    | spl15_96
    | spl15_66
    | spl15_105 ),
    inference(avatar_split_clause,[],[f93,f878,f620,f838,f686]) ).

fof(f972,plain,
    ( spl15_108
    | spl15_84
    | spl15_67
    | spl15_114 ),
    inference(avatar_split_clause,[],[f94,f922,f625,f738,f892]) ).

fof(f973,plain,
    ( spl15_26
    | spl15_14
    | spl15_59
    | spl15_1 ),
    inference(avatar_split_clause,[],[f95,f324,f587,f381,f435]) ).

fof(f974,plain,
    ( spl15_117
    | spl15_119
    | spl15_68
    | spl15_95 ),
    inference(avatar_split_clause,[],[f96,f830,f630,f947,f937]) ).

fof(f975,plain,
    ( spl15_78
    | spl15_97
    | spl15_101
    | spl15_69 ),
    inference(avatar_split_clause,[],[f97,f635,f860,f842,f696]) ).

fof(f976,plain,
    ( spl15_109
    | spl15_85
    | spl15_112
    | spl15_70 ),
    inference(avatar_split_clause,[],[f98,f640,f912,f748,f896]) ).

fof(f977,plain,
    ( spl15_116
    | spl15_118
    | spl15_92
    | spl15_71 ),
    inference(avatar_split_clause,[],[f99,f645,f800,f942,f932]) ).

fof(f978,plain,
    ( spl15_23
    | spl15_10
    | spl15_4
    | spl15_56 ),
    inference(avatar_split_clause,[],[f100,f572,f337,f363,f421]) ).

fof(f979,plain,
    ( e1 = e2
    | ~ spl15_4
    | ~ spl15_10 ),
    inference(superposition,[],[f364,f338]) ).

fof(f983,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_10 ),
    inference(forward_subsumption_resolution,[],[f979,f183]) ).

fof(f984,plain,
    ( ~ spl15_4
    | ~ spl15_10 ),
    inference(avatar_contradiction_clause,[],[f983]) ).

fof(f986,plain,
    ( e0 = e1
    | ~ spl15_7
    | ~ spl15_12 ),
    inference(superposition,[],[f373,f351]) ).

fof(f990,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_12 ),
    inference(forward_subsumption_resolution,[],[f986,f186]) ).

fof(f991,plain,
    ( ~ spl15_7
    | ~ spl15_12 ),
    inference(avatar_contradiction_clause,[],[f990]) ).

fof(f994,plain,
    ( e1 = e3
    | ~ spl15_4
    | ~ spl15_23 ),
    inference(superposition,[],[f422,f338]) ).

fof(f999,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_23 ),
    inference(forward_subsumption_resolution,[],[f994,f182]) ).

fof(f1000,plain,
    ( ~ spl15_4
    | ~ spl15_23 ),
    inference(avatar_contradiction_clause,[],[f999]) ).

fof(f1002,plain,
    ( e0 = e1
    | ~ spl15_20
    | ~ spl15_24 ),
    inference(superposition,[],[f427,f409]) ).

fof(f1006,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_24 ),
    inference(forward_subsumption_resolution,[],[f1002,f186]) ).

fof(f1007,plain,
    ( ~ spl15_20
    | ~ spl15_24 ),
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1009,plain,
    ( e2 = e3
    | ~ spl15_14
    | ~ spl15_26 ),
    inference(superposition,[],[f436,f382]) ).

fof(f1014,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_26 ),
    inference(forward_subsumption_resolution,[],[f1009,f181]) ).

fof(f1015,plain,
    ( ~ spl15_14
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f1014]) ).

fof(f1017,plain,
    ( e0 = e2
    | ~ spl15_20
    | ~ spl15_32 ),
    inference(superposition,[],[f465,f409]) ).

fof(f1022,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_32 ),
    inference(forward_subsumption_resolution,[],[f1017,f185]) ).

fof(f1023,plain,
    ( ~ spl15_20
    | ~ spl15_32 ),
    inference(avatar_contradiction_clause,[],[f1022]) ).

fof(f1025,plain,
    ( e0 = e3
    | ~ spl15_7
    | ~ spl15_33 ),
    inference(superposition,[],[f470,f351]) ).

fof(f1030,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_33 ),
    inference(forward_subsumption_resolution,[],[f1025,f184]) ).

fof(f1031,plain,
    ( ~ spl15_7
    | ~ spl15_33 ),
    inference(avatar_contradiction_clause,[],[f1030]) ).

fof(f1033,plain,
    ( e0 = e2
    | ~ spl15_7
    | ~ spl15_57 ),
    inference(superposition,[],[f580,f351]) ).

fof(f1039,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_57 ),
    inference(forward_subsumption_resolution,[],[f1033,f185]) ).

fof(f1040,plain,
    ( ~ spl15_7
    | ~ spl15_57 ),
    inference(avatar_contradiction_clause,[],[f1039]) ).

fof(f1042,plain,
    ( e1 = e2
    | ~ spl15_14
    | ~ spl15_59 ),
    inference(superposition,[],[f589,f382]) ).

fof(f1048,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_59 ),
    inference(forward_subsumption_resolution,[],[f1042,f183]) ).

fof(f1049,plain,
    ( ~ spl15_14
    | ~ spl15_59 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1051,plain,
    ( e0 = e3
    | ~ spl15_20
    | ~ spl15_62 ),
    inference(superposition,[],[f603,f409]) ).

fof(f1057,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_62 ),
    inference(forward_subsumption_resolution,[],[f1051,f184]) ).

fof(f1058,plain,
    ( ~ spl15_20
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f1057]) ).

fof(f1063,plain,
    ( e1 = e3
    | ~ spl15_26
    | ~ spl15_59 ),
    inference(superposition,[],[f589,f436]) ).

fof(f1069,plain,
    ( $false
    | ~ spl15_26
    | ~ spl15_59 ),
    inference(forward_subsumption_resolution,[],[f1063,f182]) ).

fof(f1070,plain,
    ( ~ spl15_26
    | ~ spl15_59 ),
    inference(avatar_contradiction_clause,[],[f1069]) ).

fof(f1075,plain,
    ( e2 = e3
    | ~ spl15_63
    | ~ spl15_76 ),
    inference(superposition,[],[f678,f606]) ).

fof(f1079,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_76 ),
    inference(forward_subsumption_resolution,[],[f1075,f181]) ).

fof(f1080,plain,
    ( ~ spl15_63
    | ~ spl15_76 ),
    inference(avatar_contradiction_clause,[],[f1079]) ).

fof(f1082,plain,
    ( e1 = e3
    | ~ spl15_66
    | ~ spl15_77 ),
    inference(superposition,[],[f688,f621]) ).

fof(f1086,plain,
    ( $false
    | ~ spl15_66
    | ~ spl15_77 ),
    inference(forward_subsumption_resolution,[],[f1082,f182]) ).

fof(f1087,plain,
    ( ~ spl15_66
    | ~ spl15_77 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1089,plain,
    ( e0 = e3
    | ~ spl15_69
    | ~ spl15_78 ),
    inference(superposition,[],[f698,f636]) ).

fof(f1093,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_78 ),
    inference(forward_subsumption_resolution,[],[f1089,f184]) ).

fof(f1094,plain,
    ( ~ spl15_69
    | ~ spl15_78 ),
    inference(avatar_contradiction_clause,[],[f1093]) ).

fof(f1096,plain,
    ( e2 = e3
    | ~ spl15_58
    | ~ spl15_83 ),
    inference(superposition,[],[f724,f583]) ).

fof(f1100,plain,
    ( $false
    | ~ spl15_58
    | ~ spl15_83 ),
    inference(forward_subsumption_resolution,[],[f1096,f181]) ).

fof(f1101,plain,
    ( ~ spl15_58
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1100]) ).

fof(f1103,plain,
    ( e1 = e2
    | ~ spl15_67
    | ~ spl15_84 ),
    inference(superposition,[],[f740,f626]) ).

fof(f1107,plain,
    ( $false
    | ~ spl15_67
    | ~ spl15_84 ),
    inference(forward_subsumption_resolution,[],[f1103,f183]) ).

fof(f1108,plain,
    ( ~ spl15_67
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1110,plain,
    ( e0 = e2
    | ~ spl15_70
    | ~ spl15_85 ),
    inference(superposition,[],[f750,f641]) ).

fof(f1114,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_85 ),
    inference(forward_subsumption_resolution,[],[f1110,f185]) ).

fof(f1115,plain,
    ( ~ spl15_70
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f1114]) ).

fof(f1117,plain,
    ( e1 = e3
    | ~ spl15_60
    | ~ spl15_90 ),
    inference(superposition,[],[f776,f592]) ).

fof(f1121,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_90 ),
    inference(forward_subsumption_resolution,[],[f1117,f182]) ).

fof(f1122,plain,
    ( ~ spl15_60
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1121]) ).

fof(f1124,plain,
    ( e1 = e2
    | ~ spl15_64
    | ~ spl15_91 ),
    inference(superposition,[],[f786,f611]) ).

fof(f1128,plain,
    ( $false
    | ~ spl15_64
    | ~ spl15_91 ),
    inference(forward_subsumption_resolution,[],[f1124,f183]) ).

fof(f1129,plain,
    ( ~ spl15_64
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f1128]) ).

fof(f1131,plain,
    ( e0 = e1
    | ~ spl15_71
    | ~ spl15_92 ),
    inference(superposition,[],[f802,f646]) ).

fof(f1135,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_92 ),
    inference(forward_subsumption_resolution,[],[f1131,f186]) ).

fof(f1136,plain,
    ( ~ spl15_71
    | ~ spl15_92 ),
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1137,plain,
    ( e0 = e2
    | ~ spl15_10
    | ~ spl15_56 ),
    inference(superposition,[],[f574,f364]) ).

fof(f1143,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_56 ),
    inference(forward_subsumption_resolution,[],[f1137,f185]) ).

fof(f1144,plain,
    ( ~ spl15_10
    | ~ spl15_56 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1147,plain,
    ( e0 = e3
    | ~ spl15_61
    | ~ spl15_93 ),
    inference(superposition,[],[f812,f597]) ).

fof(f1151,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_93 ),
    inference(forward_subsumption_resolution,[],[f1147,f184]) ).

fof(f1152,plain,
    ( ~ spl15_61
    | ~ spl15_93 ),
    inference(avatar_contradiction_clause,[],[f1151]) ).

fof(f1154,plain,
    ( e0 = e1
    | ~ spl15_68
    | ~ spl15_95 ),
    inference(superposition,[],[f832,f631]) ).

fof(f1158,plain,
    ( $false
    | ~ spl15_68
    | ~ spl15_95 ),
    inference(forward_subsumption_resolution,[],[f1154,f186]) ).

fof(f1159,plain,
    ( ~ spl15_68
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1169,plain,
    ( e0 = e2
    | ~ spl15_93
    | ~ spl15_99 ),
    inference(superposition,[],[f853,f812]) ).

fof(f1174,plain,
    ( $false
    | ~ spl15_93
    | ~ spl15_99 ),
    inference(forward_subsumption_resolution,[],[f1169,f185]) ).

fof(f1175,plain,
    ( ~ spl15_93
    | ~ spl15_99 ),
    inference(avatar_contradiction_clause,[],[f1174]) ).

fof(f1176,plain,
    ( e1 = e2
    | ~ spl15_90
    | ~ spl15_98 ),
    inference(superposition,[],[f849,f776]) ).

fof(f1181,plain,
    ( $false
    | ~ spl15_90
    | ~ spl15_98 ),
    inference(forward_subsumption_resolution,[],[f1176,f183]) ).

fof(f1182,plain,
    ( ~ spl15_90
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1183,plain,
    ( e0 = e2
    | ~ spl15_65
    | ~ spl15_94 ),
    inference(superposition,[],[f822,f616]) ).

fof(f1187,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_94 ),
    inference(forward_subsumption_resolution,[],[f1183,f185]) ).

fof(f1188,plain,
    ( ~ spl15_65
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1195,plain,
    ( e1 = e3
    | ~ spl15_78
    | ~ spl15_101 ),
    inference(superposition,[],[f862,f698]) ).

fof(f1200,plain,
    ( $false
    | ~ spl15_78
    | ~ spl15_101 ),
    inference(forward_subsumption_resolution,[],[f1195,f182]) ).

fof(f1201,plain,
    ( ~ spl15_78
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1200]) ).

fof(f1203,plain,
    ( e0 = e2
    | ~ spl15_63
    | ~ spl15_104 ),
    inference(superposition,[],[f876,f606]) ).

fof(f1208,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_104 ),
    inference(forward_subsumption_resolution,[],[f1203,f185]) ).

fof(f1209,plain,
    ( ~ spl15_63
    | ~ spl15_104 ),
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1211,plain,
    ( e0 = e1
    | ~ spl15_66
    | ~ spl15_105 ),
    inference(superposition,[],[f880,f621]) ).

fof(f1217,plain,
    ( $false
    | ~ spl15_66
    | ~ spl15_105 ),
    inference(forward_subsumption_resolution,[],[f1211,f186]) ).

fof(f1218,plain,
    ( ~ spl15_66
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1217]) ).

fof(f1220,plain,
    ( e0 = e2
    | ~ spl15_98
    | ~ spl15_107 ),
    inference(superposition,[],[f889,f849]) ).

fof(f1226,plain,
    ( $false
    | ~ spl15_98
    | ~ spl15_107 ),
    inference(forward_subsumption_resolution,[],[f1220,f185]) ).

fof(f1227,plain,
    ( ~ spl15_98
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1229,plain,
    ( e1 = e3
    | ~ spl15_91
    | ~ spl15_110 ),
    inference(superposition,[],[f903,f786]) ).

fof(f1234,plain,
    ( $false
    | ~ spl15_91
    | ~ spl15_110 ),
    inference(forward_subsumption_resolution,[],[f1229,f182]) ).

fof(f1235,plain,
    ( ~ spl15_91
    | ~ spl15_110 ),
    inference(avatar_contradiction_clause,[],[f1234]) ).

fof(f1237,plain,
    ( e2 = e3
    | ~ spl15_65
    | ~ spl15_111 ),
    inference(superposition,[],[f907,f616]) ).

fof(f1242,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_111 ),
    inference(forward_subsumption_resolution,[],[f1237,f181]) ).

fof(f1243,plain,
    ( ~ spl15_65
    | ~ spl15_111 ),
    inference(avatar_contradiction_clause,[],[f1242]) ).

fof(f1245,plain,
    ( e1 = e2
    | ~ spl15_85
    | ~ spl15_112 ),
    inference(superposition,[],[f914,f750]) ).

fof(f1250,plain,
    ( $false
    | ~ spl15_85
    | ~ spl15_112 ),
    inference(forward_subsumption_resolution,[],[f1245,f183]) ).

fof(f1251,plain,
    ( ~ spl15_85
    | ~ spl15_112 ),
    inference(avatar_contradiction_clause,[],[f1250]) ).

fof(f1268,plain,
    ( e0 = e3
    | ~ spl15_77
    | ~ spl15_105 ),
    inference(superposition,[],[f688,f880]) ).

fof(f1274,plain,
    ( $false
    | ~ spl15_77
    | ~ spl15_105 ),
    inference(forward_subsumption_resolution,[],[f1268,f184]) ).

fof(f1275,plain,
    ( ~ spl15_77
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1274]) ).

fof(f1280,plain,
    ( e0 = e3
    | ~ spl15_94
    | ~ spl15_111 ),
    inference(superposition,[],[f822,f907]) ).

fof(f1285,plain,
    ( $false
    | ~ spl15_94
    | ~ spl15_111 ),
    inference(forward_subsumption_resolution,[],[f1280,f184]) ).

fof(f1286,plain,
    ( ~ spl15_94
    | ~ spl15_111 ),
    inference(avatar_contradiction_clause,[],[f1285]) ).

fof(f1291,plain,
    ( e1 = e2
    | ~ spl15_63
    | ~ spl15_100 ),
    inference(superposition,[],[f858,f606]) ).

fof(f1297,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_100 ),
    inference(forward_subsumption_resolution,[],[f1291,f183]) ).

fof(f1298,plain,
    ( ~ spl15_63
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1297]) ).

fof(f1300,plain,
    ( e1 = e3
    | ~ spl15_61
    | ~ spl15_103 ),
    inference(superposition,[],[f871,f597]) ).

fof(f1306,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_103 ),
    inference(forward_subsumption_resolution,[],[f1300,f182]) ).

fof(f1307,plain,
    ( ~ spl15_61
    | ~ spl15_103 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1308,plain,
    ( e1 = e3
    | ~ spl15_58
    | ~ spl15_102 ),
    inference(superposition,[],[f867,f583]) ).

fof(f1313,plain,
    ( $false
    | ~ spl15_58
    | ~ spl15_102 ),
    inference(forward_subsumption_resolution,[],[f1308,f182]) ).

fof(f1314,plain,
    ( ~ spl15_58
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1318,plain,
    ( e0 = e1
    | ~ spl15_102
    | ~ spl15_106 ),
    inference(superposition,[],[f885,f867]) ).

fof(f1324,plain,
    ( $false
    | ~ spl15_102
    | ~ spl15_106 ),
    inference(forward_subsumption_resolution,[],[f1318,f186]) ).

fof(f1325,plain,
    ( ~ spl15_102
    | ~ spl15_106 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

fof(f1327,plain,
    ( e0 = e2
    | ~ spl15_83
    | ~ spl15_106 ),
    inference(superposition,[],[f724,f885]) ).

fof(f1332,plain,
    ( $false
    | ~ spl15_83
    | ~ spl15_106 ),
    inference(forward_subsumption_resolution,[],[f1327,f185]) ).

fof(f1333,plain,
    ( ~ spl15_83
    | ~ spl15_106 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1334,plain,
    ( e0 = e3
    | ~ spl15_58
    | ~ spl15_106 ),
    inference(superposition,[],[f583,f885]) ).

fof(f1338,plain,
    ( $false
    | ~ spl15_58
    | ~ spl15_106 ),
    inference(forward_subsumption_resolution,[],[f1334,f184]) ).

fof(f1339,plain,
    ( ~ spl15_58
    | ~ spl15_106 ),
    inference(avatar_contradiction_clause,[],[f1338]) ).

fof(f1356,plain,
    ( e1 = e2
    | ~ spl15_97
    | ~ spl15_101 ),
    inference(superposition,[],[f862,f844]) ).

fof(f1362,plain,
    ( $false
    | ~ spl15_97
    | ~ spl15_101 ),
    inference(forward_subsumption_resolution,[],[f1356,f183]) ).

fof(f1363,plain,
    ( ~ spl15_97
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1362]) ).

fof(f1370,plain,
    ( e1 = e2
    | ~ spl15_99
    | ~ spl15_103 ),
    inference(superposition,[],[f871,f853]) ).

fof(f1376,plain,
    ( $false
    | ~ spl15_99
    | ~ spl15_103 ),
    inference(forward_subsumption_resolution,[],[f1370,f183]) ).

fof(f1377,plain,
    ( ~ spl15_99
    | ~ spl15_103 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1378,plain,
    ( e2 = e3
    | ~ spl15_61
    | ~ spl15_99 ),
    inference(superposition,[],[f597,f853]) ).

fof(f1383,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_99 ),
    inference(forward_subsumption_resolution,[],[f1378,f181]) ).

fof(f1384,plain,
    ( ~ spl15_61
    | ~ spl15_99 ),
    inference(avatar_contradiction_clause,[],[f1383]) ).

fof(f1385,plain,
    ( e0 = e3
    | ~ spl15_1
    | ~ spl15_26 ),
    inference(superposition,[],[f325,f436]) ).

fof(f1391,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_26 ),
    inference(forward_subsumption_resolution,[],[f1385,f184]) ).

fof(f1392,plain,
    ( ~ spl15_1
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f1391]) ).

fof(f1411,plain,
    ( e0 = e2
    | ~ spl15_96
    | ~ spl15_105 ),
    inference(superposition,[],[f880,f840]) ).

fof(f1417,plain,
    ( $false
    | ~ spl15_96
    | ~ spl15_105 ),
    inference(forward_subsumption_resolution,[],[f1411,f185]) ).

fof(f1418,plain,
    ( ~ spl15_96
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1417]) ).

fof(f1419,plain,
    ( e0 = e1
    | ~ spl15_69
    | ~ spl15_101 ),
    inference(superposition,[],[f636,f862]) ).

fof(f1425,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_101 ),
    inference(forward_subsumption_resolution,[],[f1419,f186]) ).

fof(f1426,plain,
    ( ~ spl15_69
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1425]) ).

fof(f1432,plain,
    ( e2 = e3
    | ~ spl15_85
    | ~ spl15_109 ),
    inference(superposition,[],[f898,f750]) ).

fof(f1437,plain,
    ( $false
    | ~ spl15_85
    | ~ spl15_109 ),
    inference(forward_subsumption_resolution,[],[f1432,f181]) ).

fof(f1438,plain,
    ( ~ spl15_85
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f1437]) ).

fof(f1439,plain,
    ( e1 = e3
    | ~ spl15_67
    | ~ spl15_108 ),
    inference(superposition,[],[f894,f626]) ).

fof(f1444,plain,
    ( $false
    | ~ spl15_67
    | ~ spl15_108 ),
    inference(forward_subsumption_resolution,[],[f1439,f182]) ).

fof(f1445,plain,
    ( ~ spl15_67
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1446,plain,
    ( e1 = e3
    | ~ spl15_12
    | ~ spl15_33 ),
    inference(superposition,[],[f470,f373]) ).

fof(f1447,plain,
    ( e1 = e3
    | ~ spl15_12
    | ~ spl15_33 ),
    inference(superposition,[],[f373,f470]) ).

fof(f1450,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_33 ),
    inference(forward_subsumption_resolution,[],[f1447,f182]) ).

fof(f1451,plain,
    ( ~ spl15_12
    | ~ spl15_33 ),
    inference(avatar_contradiction_clause,[],[f1450]) ).

fof(f1452,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_33 ),
    inference(forward_subsumption_resolution,[],[f1446,f182]) ).

fof(f1453,plain,
    ( ~ spl15_12
    | ~ spl15_33 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1455,plain,
    ( e1 = e2
    | ~ spl15_12
    | ~ spl15_57 ),
    inference(superposition,[],[f580,f373]) ).

fof(f1461,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_57 ),
    inference(forward_subsumption_resolution,[],[f1455,f183]) ).

fof(f1462,plain,
    ( ~ spl15_12
    | ~ spl15_57 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1472,plain,
    ( e0 = e3
    | ~ spl15_70
    | ~ spl15_109 ),
    inference(superposition,[],[f898,f641]) ).

fof(f1477,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_109 ),
    inference(forward_subsumption_resolution,[],[f1472,f184]) ).

fof(f1478,plain,
    ( ~ spl15_70
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1489,plain,
    ( e1 = e3
    | ~ spl15_109
    | ~ spl15_112 ),
    inference(superposition,[],[f914,f898]) ).

fof(f1495,plain,
    ( $false
    | ~ spl15_109
    | ~ spl15_112 ),
    inference(forward_subsumption_resolution,[],[f1489,f182]) ).

fof(f1496,plain,
    ( ~ spl15_109
    | ~ spl15_112 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1499,plain,
    ( e1 = e2
    | ~ spl15_65
    | ~ spl15_113 ),
    inference(superposition,[],[f919,f616]) ).

fof(f1505,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_113 ),
    inference(forward_subsumption_resolution,[],[f1499,f183]) ).

fof(f1506,plain,
    ( ~ spl15_65
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1505]) ).

fof(f1508,plain,
    ( e0 = e3
    | ~ spl15_110
    | ~ spl15_115 ),
    inference(superposition,[],[f929,f903]) ).

fof(f1514,plain,
    ( $false
    | ~ spl15_110
    | ~ spl15_115 ),
    inference(forward_subsumption_resolution,[],[f1508,f184]) ).

fof(f1515,plain,
    ( ~ spl15_110
    | ~ spl15_115 ),
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1517,plain,
    ( e1 = e3
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(superposition,[],[f907,f919]) ).

fof(f1523,plain,
    ( $false
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(forward_subsumption_resolution,[],[f1517,f182]) ).

fof(f1524,plain,
    ( ~ spl15_111
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1525,plain,
    ( e0 = e1
    | ~ spl15_94
    | ~ spl15_113 ),
    inference(superposition,[],[f822,f919]) ).

fof(f1530,plain,
    ( $false
    | ~ spl15_94
    | ~ spl15_113 ),
    inference(forward_subsumption_resolution,[],[f1525,f186]) ).

fof(f1531,plain,
    ( ~ spl15_94
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1543,plain,
    ( e0 = e1
    | ~ spl15_91
    | ~ spl15_115 ),
    inference(superposition,[],[f929,f786]) ).

fof(f1549,plain,
    ( $false
    | ~ spl15_91
    | ~ spl15_115 ),
    inference(forward_subsumption_resolution,[],[f1543,f186]) ).

fof(f1550,plain,
    ( ~ spl15_91
    | ~ spl15_115 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1552,plain,
    ( e0 = e2
    | ~ spl15_69
    | ~ spl15_97 ),
    inference(superposition,[],[f844,f636]) ).

fof(f1558,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_97 ),
    inference(forward_subsumption_resolution,[],[f1552,f185]) ).

fof(f1559,plain,
    ( ~ spl15_69
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f1558]) ).

fof(f1567,plain,
    ( e1 = e3
    | ~ spl15_92
    | ~ spl15_116 ),
    inference(superposition,[],[f934,f802]) ).

fof(f1572,plain,
    ( $false
    | ~ spl15_92
    | ~ spl15_116 ),
    inference(forward_subsumption_resolution,[],[f1567,f182]) ).

fof(f1573,plain,
    ( ~ spl15_92
    | ~ spl15_116 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1578,plain,
    ( e0 = e3
    | ~ spl15_95
    | ~ spl15_117 ),
    inference(superposition,[],[f939,f832]) ).

fof(f1583,plain,
    ( $false
    | ~ spl15_95
    | ~ spl15_117 ),
    inference(forward_subsumption_resolution,[],[f1578,f184]) ).

fof(f1584,plain,
    ( ~ spl15_95
    | ~ spl15_117 ),
    inference(avatar_contradiction_clause,[],[f1583]) ).

fof(f1586,plain,
    ( e1 = e2
    | ~ spl15_92
    | ~ spl15_118 ),
    inference(superposition,[],[f944,f802]) ).

fof(f1592,plain,
    ( $false
    | ~ spl15_92
    | ~ spl15_118 ),
    inference(forward_subsumption_resolution,[],[f1586,f183]) ).

fof(f1593,plain,
    ( ~ spl15_92
    | ~ spl15_118 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1595,plain,
    ( e0 = e2
    | ~ spl15_95
    | ~ spl15_119 ),
    inference(superposition,[],[f949,f832]) ).

fof(f1601,plain,
    ( $false
    | ~ spl15_95
    | ~ spl15_119 ),
    inference(forward_subsumption_resolution,[],[f1595,f185]) ).

fof(f1602,plain,
    ( ~ spl15_95
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1605,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_62 ),
    inference(superposition,[],[f134,f603]) ).

fof(f1606,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_106 ),
    inference(superposition,[],[f135,f885]) ).

fof(f1607,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_62 ),
    inference(superposition,[],[f136,f603]) ).

fof(f1608,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_106 ),
    inference(superposition,[],[f137,f885]) ).

fof(f1609,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_98 ),
    inference(superposition,[],[f138,f849]) ).

fof(f1610,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_100 ),
    inference(superposition,[],[f139,f858]) ).

fof(f1611,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_100 ),
    inference(superposition,[],[f140,f858]) ).

fof(f1612,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_57 ),
    inference(superposition,[],[f141,f580]) ).

fof(f1613,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_100 ),
    inference(superposition,[],[f142,f858]) ).

fof(f1614,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_57 ),
    inference(superposition,[],[f143,f580]) ).

fof(f1615,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_115 ),
    inference(superposition,[],[f144,f929]) ).

fof(f1616,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_96 ),
    inference(superposition,[],[f145,f840]) ).

fof(f1617,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_96 ),
    inference(superposition,[],[f146,f840]) ).

fof(f1618,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_67 ),
    inference(superposition,[],[f147,f626]) ).

fof(f1619,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_96 ),
    inference(superposition,[],[f148,f840]) ).

fof(f1620,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_67 ),
    inference(superposition,[],[f149,f626]) ).

fof(f1621,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_26 ),
    inference(superposition,[],[f150,f436]) ).

fof(f1622,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_69 ),
    inference(superposition,[],[f151,f636]) ).

fof(f1623,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_69 ),
    inference(superposition,[],[f152,f636]) ).

fof(f1624,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_109 ),
    inference(superposition,[],[f153,f898]) ).

fof(f1625,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_69 ),
    inference(superposition,[],[f154,f636]) ).

fof(f1626,plain,
    ( op(e0,e0) != e3
    | ~ spl15_109 ),
    inference(superposition,[],[f155,f898]) ).

fof(f1627,plain,
    ( op(e0,e0) != e1
    | ~ spl15_92 ),
    inference(superposition,[],[f156,f802]) ).

fof(f1628,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_62 ),
    inference(superposition,[],[f157,f603]) ).

fof(f1630,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_100 ),
    inference(superposition,[],[f159,f858]) ).

fof(f1631,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_62 ),
    inference(superposition,[],[f160,f603]) ).

fof(f1632,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_100 ),
    inference(superposition,[],[f161,f858]) ).

fof(f1633,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_96 ),
    inference(superposition,[],[f162,f840]) ).

fof(f1634,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_106 ),
    inference(superposition,[],[f163,f885]) ).

fof(f1635,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_106 ),
    inference(superposition,[],[f164,f885]) ).

fof(f1636,plain,
    ( ~ spl15_114
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1635,f883,f922]) ).

fof(f1638,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_57 ),
    inference(superposition,[],[f165,f580]) ).

fof(f1639,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_106 ),
    inference(superposition,[],[f166,f885]) ).

fof(f1640,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_57 ),
    inference(superposition,[],[f167,f580]) ).

fof(f1641,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_67 ),
    inference(superposition,[],[f168,f626]) ).

fof(f1642,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_98 ),
    inference(superposition,[],[f169,f849]) ).

fof(f1644,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_115 ),
    inference(superposition,[],[f171,f929]) ).

fof(f1645,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_98 ),
    inference(superposition,[],[f172,f849]) ).

fof(f1646,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_115 ),
    inference(superposition,[],[f173,f929]) ).

fof(f1647,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_26 ),
    inference(superposition,[],[f174,f436]) ).

fof(f1648,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_103 ),
    inference(superposition,[],[f175,f871]) ).

fof(f1649,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_103 ),
    inference(superposition,[],[f176,f871]) ).

fof(f1650,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_111 ),
    inference(superposition,[],[f177,f907]) ).

fof(f1651,plain,
    ( op(e0,e0) != e1
    | ~ spl15_103 ),
    inference(superposition,[],[f178,f871]) ).

fof(f1652,plain,
    ( op(e0,e0) != e3
    | ~ spl15_111 ),
    inference(superposition,[],[f179,f907]) ).

fof(f1653,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_95 ),
    inference(superposition,[],[f180,f832]) ).

fof(f1655,plain,
    ( e2 != op(e3,e1)
    | spl15_17
    | ~ spl15_26 ),
    inference(superposition,[],[f396,f436]) ).

fof(f1662,plain,
    ( e1 != op(e3,e3)
    | spl15_31
    | ~ spl15_62 ),
    inference(superposition,[],[f460,f603]) ).

fof(f1663,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_26
    | spl15_35 ),
    inference(superposition,[],[f481,f436]) ).

fof(f1668,plain,
    ( e1 != op(e0,e1)
    | spl15_54
    | ~ spl15_92 ),
    inference(superposition,[],[f564,f802]) ).

fof(f1669,plain,
    ( $false
    | spl15_54
    | ~ spl15_92 ),
    inference(forward_subsumption_resolution,[],[f1668,f802]) ).

fof(f1670,plain,
    ( spl15_54
    | ~ spl15_92 ),
    inference(avatar_contradiction_clause,[],[f1669]) ).

fof(f1673,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_62
    | spl15_72 ),
    inference(superposition,[],[f652,f603]) ).

fof(f1674,plain,
    ( $false
    | ~ spl15_62
    | spl15_72 ),
    inference(forward_subsumption_resolution,[],[f1673,f603]) ).

fof(f1675,plain,
    ( ~ spl15_62
    | spl15_72 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1677,plain,
    ( e2 != op(e3,e0)
    | spl15_73
    | ~ spl15_106 ),
    inference(superposition,[],[f657,f885]) ).

fof(f1681,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_57
    | spl15_80 ),
    inference(superposition,[],[f709,f580]) ).

fof(f1682,plain,
    ( $false
    | ~ spl15_57
    | spl15_80 ),
    inference(forward_subsumption_resolution,[],[f1681,f580]) ).

fof(f1683,plain,
    ( ~ spl15_57
    | spl15_80 ),
    inference(avatar_contradiction_clause,[],[f1682]) ).

fof(f1685,plain,
    ( ~ spl15_68
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f1620,f625,f630]) ).

fof(f1686,plain,
    ( ~ spl15_68
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f1649,f869,f630]) ).

fof(f1687,plain,
    ( ~ spl15_61
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f1607,f601,f596]) ).

fof(f1688,plain,
    ( ~ spl15_24
    | spl15_31
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f1662,f601,f458,f426]) ).

fof(f1690,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_1 ),
    inference(superposition,[],[f150,f325]) ).

fof(f1691,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_1 ),
    inference(superposition,[],[f174,f325]) ).

fof(f1692,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_1
    | spl15_3 ),
    inference(superposition,[],[f334,f325]) ).

fof(f1699,plain,
    ( ~ spl15_95
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f1690,f324,f830]) ).

fof(f1700,plain,
    ( e2 = e3
    | ~ spl15_10
    | ~ spl15_23 ),
    inference(superposition,[],[f422,f364]) ).

fof(f1701,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_23
    | spl15_55 ),
    inference(superposition,[],[f569,f422]) ).

fof(f1702,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_23
    | spl15_29 ),
    inference(superposition,[],[f451,f422]) ).

fof(f1708,plain,
    ( ~ spl15_103
    | ~ spl15_23
    | spl15_29 ),
    inference(avatar_split_clause,[],[f1702,f449,f421,f869]) ).

fof(f1711,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_23 ),
    inference(forward_subsumption_resolution,[],[f1700,f181]) ).

fof(f1712,plain,
    ( ~ spl15_10
    | ~ spl15_23 ),
    inference(avatar_contradiction_clause,[],[f1711]) ).

fof(f1713,plain,
    ( ~ spl15_70
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1639,f883,f640]) ).

fof(f1716,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_20 ),
    inference(superposition,[],[f133,f409]) ).

fof(f1717,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_20 ),
    inference(superposition,[],[f134,f409]) ).

fof(f1718,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_20 ),
    inference(superposition,[],[f136,f409]) ).

fof(f1719,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_20 ),
    inference(superposition,[],[f157,f409]) ).

fof(f1720,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_20 ),
    inference(superposition,[],[f158,f409]) ).

fof(f1721,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_20 ),
    inference(superposition,[],[f160,f409]) ).

fof(f1730,plain,
    ( ~ spl15_69
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f1721,f408,f635]) ).

fof(f1731,plain,
    ( ~ spl15_105
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f1720,f408,f878]) ).

fof(f1732,plain,
    ( ~ spl15_106
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f1716,f408,f883]) ).

fof(f1736,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_61 ),
    inference(superposition,[],[f175,f597]) ).

fof(f1737,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_61 ),
    inference(superposition,[],[f176,f597]) ).

fof(f1738,plain,
    ( op(e0,e0) != e3
    | ~ spl15_61 ),
    inference(superposition,[],[f178,f597]) ).

fof(f1739,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_61
    | spl15_75 ),
    inference(superposition,[],[f667,f597]) ).

fof(f1744,plain,
    ( ~ spl15_117
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1737,f596,f937]) ).

fof(f1745,plain,
    ( ~ spl15_111
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1736,f596,f905]) ).

fof(f1747,plain,
    ( op(e0,e0) != e1
    | ~ spl15_68 ),
    inference(superposition,[],[f180,f631]) ).

fof(f1748,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_70 ),
    inference(superposition,[],[f153,f641]) ).

fof(f1750,plain,
    ( op(e0,e0) != e2
    | spl15_53
    | ~ spl15_70 ),
    inference(superposition,[],[f559,f641]) ).

fof(f1754,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_77 ),
    inference(superposition,[],[f145,f688]) ).

fof(f1755,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_77 ),
    inference(superposition,[],[f146,f688]) ).

fof(f1756,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_77 ),
    inference(superposition,[],[f148,f688]) ).

fof(f1757,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_77 ),
    inference(superposition,[],[f162,f688]) ).

fof(f1759,plain,
    ( ~ spl15_78
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1757,f686,f696]) ).

fof(f1760,plain,
    ( ~ spl15_117
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1756,f686,f937]) ).

fof(f1761,plain,
    ( ~ spl15_108
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1754,f686,f892]) ).

fof(f1762,plain,
    ( ~ spl15_119
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1619,f838,f947]) ).

fof(f1763,plain,
    ( ~ spl15_97
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1633,f838,f842]) ).

fof(f1764,plain,
    ( ~ spl15_66
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1630,f856,f620]) ).

fof(f1765,plain,
    ( ~ spl15_23
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1738,f596,f421]) ).

fof(f1770,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_78 ),
    inference(superposition,[],[f151,f698]) ).

fof(f1771,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_78 ),
    inference(superposition,[],[f152,f698]) ).

fof(f1775,plain,
    ( ~ spl15_109
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f1770,f696,f896]) ).

fof(f1777,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_94 ),
    inference(superposition,[],[f177,f822]) ).

fof(f1780,plain,
    ( ~ spl15_95
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f1777,f820,f830]) ).

fof(f1790,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_102 ),
    inference(superposition,[],[f137,f867]) ).

fof(f1791,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_102 ),
    inference(superposition,[],[f163,f867]) ).

fof(f1792,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_102 ),
    inference(superposition,[],[f164,f867]) ).

fof(f1793,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_102 ),
    inference(superposition,[],[f166,f867]) ).

fof(f1799,plain,
    ( ~ spl15_112
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f1793,f865,f912]) ).

fof(f1800,plain,
    ( ~ spl15_103
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f1790,f865,f869]) ).

fof(f1804,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_108 ),
    inference(superposition,[],[f147,f894]) ).

fof(f1805,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_108 ),
    inference(superposition,[],[f149,f894]) ).

fof(f1806,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_108 ),
    inference(superposition,[],[f168,f894]) ).

fof(f1810,plain,
    ( ~ spl15_109
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f1806,f892,f896]) ).

fof(f1811,plain,
    ( ~ spl15_117
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f1805,f892,f937]) ).

fof(f1813,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_110 ),
    inference(superposition,[],[f144,f903]) ).

fof(f1814,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_110 ),
    inference(superposition,[],[f171,f903]) ).

fof(f1815,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_110 ),
    inference(superposition,[],[f173,f903]) ).

fof(f1818,plain,
    ( ~ spl15_111
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f1813,f901,f905]) ).

fof(f1824,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_1
    | spl15_17 ),
    inference(superposition,[],[f396,f325]) ).

fof(f1834,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_73
    | ~ spl15_102 ),
    inference(superposition,[],[f656,f867]) ).

fof(f1839,plain,
    ( e1 != op(e2,e3)
    | spl15_81
    | ~ spl15_110 ),
    inference(superposition,[],[f714,f903]) ).

fof(f1843,plain,
    ( e0 != op(e2,e0)
    | spl15_82
    | ~ spl15_94 ),
    inference(superposition,[],[f719,f822]) ).

fof(f1844,plain,
    ( $false
    | spl15_82
    | ~ spl15_94 ),
    inference(forward_subsumption_resolution,[],[f1843,f822]) ).

fof(f1845,plain,
    ( spl15_82
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1844]) ).

fof(f1853,plain,
    ( ~ spl15_1
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f1644,f927,f324]) ).

fof(f1854,plain,
    ( ~ spl15_64
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f1642,f847,f610]) ).

fof(f1855,plain,
    ( ~ spl15_26
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f1804,f892,f435]) ).

fof(f1856,plain,
    ( ~ spl15_12
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f1791,f865,f372]) ).

fof(f1857,plain,
    ( ~ spl15_71
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f1691,f324,f645]) ).

fof(f1858,plain,
    ( ~ spl15_116
    | ~ spl15_1
    | spl15_3 ),
    inference(avatar_split_clause,[],[f1692,f332,f324,f932]) ).

fof(f1860,plain,
    ( ~ spl15_64
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f1612,f578,f610]) ).

fof(f1861,plain,
    ( ~ spl15_84
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f1638,f578,f738]) ).

fof(f1862,plain,
    ( ~ spl15_20
    | ~ spl15_61
    | spl15_75 ),
    inference(avatar_split_clause,[],[f1739,f665,f596,f408]) ).

fof(f1863,plain,
    ( ~ spl15_116
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f1771,f696,f932]) ).

fof(f1869,plain,
    ( ~ spl15_26
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1755,f686,f435]) ).

fof(f1870,plain,
    ( ~ spl15_84
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1616,f838,f738]) ).

fof(f1871,plain,
    ( ~ spl15_116
    | ~ spl15_109 ),
    inference(avatar_split_clause,[],[f1624,f896,f932]) ).

fof(f1872,plain,
    ( ~ spl15_71
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f1646,f927,f645]) ).

fof(f1873,plain,
    ( ~ spl15_94
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f1615,f927,f820]) ).

fof(f1875,plain,
    ( ~ spl15_26
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f1814,f901,f435]) ).

fof(f1876,plain,
    ( ~ spl15_116
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f1815,f901,f932]) ).

fof(f1878,plain,
    ( ~ spl15_104
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f1719,f408,f874]) ).

fof(f1880,plain,
    ( ~ spl15_12
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1610,f856,f372]) ).

fof(f1881,plain,
    ( ~ spl15_91
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1611,f856,f784]) ).

fof(f1882,plain,
    ( ~ spl15_113
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1613,f856,f917]) ).

fof(f1883,plain,
    ( ~ spl15_101
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1632,f856,f860]) ).

fof(f1884,plain,
    ( spl15_98
    | ~ spl15_73
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f1834,f865,f655,f847]) ).

fof(f1886,plain,
    ( ~ spl15_100
    | spl15_81
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f1839,f901,f712,f856]) ).

fof(f1887,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_7 ),
    inference(superposition,[],[f141,f351]) ).

fof(f1888,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_7 ),
    inference(superposition,[],[f143,f351]) ).

fof(f1889,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_7 ),
    inference(superposition,[],[f165,f351]) ).

fof(f1890,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_7 ),
    inference(superposition,[],[f167,f351]) ).

fof(f1895,plain,
    ( ~ spl15_70
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f1890,f350,f640]) ).

fof(f1896,plain,
    ( ~ spl15_114
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f1889,f350,f922]) ).

fof(f1897,plain,
    ( ~ spl15_94
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f1888,f350,f820]) ).

fof(f1898,plain,
    ( ~ spl15_115
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f1887,f350,f927]) ).

fof(f1899,plain,
    ( ~ spl15_112
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f1641,f625,f912]) ).

fof(f1900,plain,
    ( ~ spl15_59
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f1618,f625,f587]) ).

fof(f1901,plain,
    ( ~ spl15_67
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f1792,f865,f625]) ).

fof(f1914,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_59 ),
    inference(superposition,[],[f150,f589]) ).

fof(f1915,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_59 ),
    inference(superposition,[],[f174,f589]) ).

fof(f1921,plain,
    ( ~ spl15_92
    | ~ spl15_59 ),
    inference(avatar_split_clause,[],[f1915,f587,f800]) ).

fof(f1922,plain,
    ( ~ spl15_68
    | ~ spl15_59 ),
    inference(avatar_split_clause,[],[f1914,f587,f630]) ).

fof(f1923,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_60 ),
    inference(superposition,[],[f138,f592]) ).

fof(f1924,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_60 ),
    inference(superposition,[],[f169,f592]) ).

fof(f1925,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_60 ),
    inference(superposition,[],[f170,f592]) ).

fof(f1926,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_60 ),
    inference(superposition,[],[f172,f592]) ).

fof(f1929,plain,
    ( ~ spl15_116
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f1926,f591,f932]) ).

fof(f1930,plain,
    ( ~ spl15_110
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f1924,f591,f901]) ).

fof(f1935,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_64 ),
    inference(superposition,[],[f171,f611]) ).

fof(f1936,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_64 ),
    inference(superposition,[],[f173,f611]) ).

fof(f1939,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_76 ),
    inference(superposition,[],[f139,f678]) ).

fof(f1940,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_76 ),
    inference(superposition,[],[f140,f678]) ).

fof(f1941,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_76 ),
    inference(superposition,[],[f142,f678]) ).

fof(f1942,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_76 ),
    inference(superposition,[],[f159,f678]) ).

fof(f1943,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_76 ),
    inference(superposition,[],[f161,f678]) ).

fof(f1946,plain,
    ( ~ spl15_78
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1943,f676,f696]) ).

fof(f1947,plain,
    ( ~ spl15_77
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1942,f676,f686]) ).

fof(f1948,plain,
    ( ~ spl15_110
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1940,f676,f901]) ).

fof(f1949,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_83 ),
    inference(superposition,[],[f135,f724]) ).

fof(f1950,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_83 ),
    inference(superposition,[],[f137,f724]) ).

fof(f1951,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_83 ),
    inference(superposition,[],[f163,f724]) ).

fof(f1952,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_83 ),
    inference(superposition,[],[f164,f724]) ).

fof(f1953,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_83 ),
    inference(superposition,[],[f166,f724]) ).

fof(f1955,plain,
    ( ~ spl15_85
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f1953,f722,f748]) ).

fof(f1956,plain,
    ( ~ spl15_84
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f1952,f722,f738]) ).

fof(f1957,plain,
    ( ~ spl15_98
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f1949,f722,f847]) ).

fof(f1958,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_90 ),
    inference(superposition,[],[f138,f776]) ).

fof(f1959,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_90 ),
    inference(superposition,[],[f169,f776]) ).

fof(f1960,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_90 ),
    inference(superposition,[],[f170,f776]) ).

fof(f1961,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_90 ),
    inference(superposition,[],[f172,f776]) ).

fof(f1964,plain,
    ( ~ spl15_92
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1961,f774,f800]) ).

fof(f1965,plain,
    ( $false
    | ~ spl15_59
    | ~ spl15_90 ),
    inference(forward_subsumption_resolution,[],[f1960,f589]) ).

fof(f1966,plain,
    ( ~ spl15_59
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1967,plain,
    ( ~ spl15_91
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1959,f774,f784]) ).

fof(f1968,plain,
    ( ~ spl15_118
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f1645,f847,f942]) ).

fof(f1969,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_106 ),
    inference(forward_subsumption_resolution,[],[f1634,f351]) ).

fof(f1970,plain,
    ( ~ spl15_7
    | ~ spl15_106 ),
    inference(avatar_contradiction_clause,[],[f1969]) ).

fof(f1984,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_65 ),
    inference(superposition,[],[f177,f616]) ).

fof(f1993,plain,
    ( op(e0,e0) != e2
    | ~ spl15_85 ),
    inference(superposition,[],[f155,f750]) ).

fof(f2063,plain,
    ( e3 != op(e0,e3)
    | spl15_52
    | ~ spl15_78 ),
    inference(superposition,[],[f554,f698]) ).

fof(f2064,plain,
    ( $false
    | spl15_52
    | ~ spl15_78 ),
    inference(forward_subsumption_resolution,[],[f2063,f698]) ).

fof(f2065,plain,
    ( spl15_52
    | ~ spl15_78 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2075,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_91 ),
    inference(superposition,[],[f144,f786]) ).

fof(f2076,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_91 ),
    inference(superposition,[],[f171,f786]) ).

fof(f2077,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_91 ),
    inference(superposition,[],[f173,f786]) ).

fof(f2080,plain,
    ( $false
    | ~ spl15_59
    | ~ spl15_91 ),
    inference(forward_subsumption_resolution,[],[f2076,f589]) ).

fof(f2081,plain,
    ( ~ spl15_59
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2080]) ).

fof(f2082,plain,
    ( ~ spl15_65
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f1614,f578,f615]) ).

fof(f2083,plain,
    ( ~ spl15_85
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f1640,f578,f748]) ).

fof(f2104,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_97 ),
    inference(superposition,[],[f151,f844]) ).

fof(f2105,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_97 ),
    inference(superposition,[],[f152,f844]) ).

fof(f2106,plain,
    ( op(e0,e0) != e2
    | ~ spl15_97 ),
    inference(superposition,[],[f154,f844]) ).

fof(f2130,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_114 ),
    inference(superposition,[],[f147,f924]) ).

fof(f2131,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_114 ),
    inference(superposition,[],[f149,f924]) ).

fof(f2132,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_114 ),
    inference(superposition,[],[f168,f924]) ).

fof(f2140,plain,
    ( op(e0,e0) != e2
    | ~ spl15_119 ),
    inference(superposition,[],[f180,f949]) ).

fof(f2149,plain,
    ( op(e0,e0) = e1
    | ~ spl15_54
    | ~ spl15_71 ),
    inference(superposition,[],[f563,f646]) ).

fof(f2150,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_4
    | spl15_55 ),
    inference(superposition,[],[f569,f338]) ).

fof(f2153,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_4
    | ~ spl15_55 ),
    inference(superposition,[],[f568,f338]) ).

fof(f2154,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_20
    | spl15_72 ),
    inference(superposition,[],[f652,f409]) ).

fof(f2155,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_61
    | spl15_72 ),
    inference(forward_subsumption_resolution,[],[f2154,f597]) ).

fof(f2156,plain,
    ( ~ spl15_20
    | ~ spl15_61
    | spl15_72 ),
    inference(avatar_contradiction_clause,[],[f2155]) ).

fof(f2163,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_77
    | spl15_86 ),
    inference(superposition,[],[f756,f688]) ).

fof(f2164,plain,
    ( $false
    | ~ spl15_77
    | spl15_86 ),
    inference(forward_subsumption_resolution,[],[f2163,f688]) ).

fof(f2165,plain,
    ( ~ spl15_77
    | spl15_86 ),
    inference(avatar_contradiction_clause,[],[f2164]) ).

fof(f2166,plain,
    ( ~ spl15_57
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f1951,f722,f578]) ).

fof(f2167,plain,
    ( ~ spl15_59
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1960,f774,f587]) ).

fof(f2170,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_12 ),
    inference(superposition,[],[f165,f373]) ).

fof(f2171,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_12 ),
    inference(superposition,[],[f167,f373]) ).

fof(f2190,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_66 ),
    inference(superposition,[],[f145,f621]) ).

fof(f2191,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_66 ),
    inference(superposition,[],[f146,f621]) ).

fof(f2192,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_66 ),
    inference(superposition,[],[f148,f621]) ).

fof(f2193,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_66 ),
    inference(superposition,[],[f162,f621]) ).

fof(f2200,plain,
    ( ~ spl15_61
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f1923,f591,f596]) ).

fof(f2201,plain,
    ( ~ spl15_26
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f1925,f591,f435]) ).

fof(f2202,plain,
    ( ~ spl15_4
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f1651,f869,f337]) ).

fof(f2203,plain,
    ( ~ spl15_112
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f2171,f372,f912]) ).

fof(f2204,plain,
    ( spl15_4
    | ~ spl15_54
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f2149,f645,f562,f337]) ).

fof(f2205,plain,
    ( ~ spl15_10
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1993,f748,f363]) ).

fof(f2210,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_24 ),
    inference(superposition,[],[f133,f427]) ).

fof(f2211,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_24 ),
    inference(superposition,[],[f134,f427]) ).

fof(f2212,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_24 ),
    inference(superposition,[],[f136,f427]) ).

fof(f2213,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_24 ),
    inference(superposition,[],[f157,f427]) ).

fof(f2214,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_24 ),
    inference(superposition,[],[f158,f427]) ).

fof(f2215,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_24 ),
    inference(superposition,[],[f160,f427]) ).

fof(f2220,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_24
    | ~ spl15_72 ),
    inference(superposition,[],[f651,f427]) ).

fof(f2221,plain,
    ( spl15_60
    | ~ spl15_24
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f2220,f650,f426,f591]) ).

fof(f2224,plain,
    ( ~ spl15_66
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2214,f426,f620]) ).

fof(f2225,plain,
    ( ~ spl15_100
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2213,f426,f856]) ).

fof(f2226,plain,
    ( ~ spl15_103
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2212,f426,f869]) ).

fof(f2227,plain,
    ( ~ spl15_90
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2211,f426,f774]) ).

fof(f2228,plain,
    ( ~ spl15_102
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2210,f426,f865]) ).

fof(f2229,plain,
    ( e1 = e2
    | ~ spl15_24
    | ~ spl15_32 ),
    inference(superposition,[],[f465,f427]) ).

fof(f2231,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_32 ),
    inference(superposition,[],[f134,f465]) ).

fof(f2232,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_32 ),
    inference(superposition,[],[f136,f465]) ).

fof(f2233,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_32 ),
    inference(superposition,[],[f157,f465]) ).

fof(f2234,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_32 ),
    inference(superposition,[],[f158,f465]) ).

fof(f2235,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_32 ),
    inference(superposition,[],[f160,f465]) ).

fof(f2238,plain,
    ( e1 != op(e2,e3)
    | spl15_31
    | ~ spl15_32 ),
    inference(superposition,[],[f460,f465]) ).

fof(f2243,plain,
    ( ~ spl15_100
    | spl15_31
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2238,f464,f458,f856]) ).

fof(f2246,plain,
    ( ~ spl15_97
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2235,f464,f842]) ).

fof(f2247,plain,
    ( ~ spl15_99
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2232,f464,f851]) ).

fof(f2248,plain,
    ( ~ spl15_98
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2231,f464,f847]) ).

fof(f2250,plain,
    ( $false
    | ~ spl15_24
    | ~ spl15_32 ),
    inference(forward_subsumption_resolution,[],[f2229,f183]) ).

fof(f2251,plain,
    ( ~ spl15_24
    | ~ spl15_32 ),
    inference(avatar_contradiction_clause,[],[f2250]) ).

fof(f2252,plain,
    ( ~ spl15_85
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f2104,f842,f748]) ).

fof(f2254,plain,
    ( ~ spl15_118
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f1936,f610,f942]) ).

fof(f2255,plain,
    ( ~ spl15_118
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f2105,f842,f942]) ).

fof(f2276,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_84 ),
    inference(superposition,[],[f147,f740]) ).

fof(f2277,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_84 ),
    inference(superposition,[],[f149,f740]) ).

fof(f2278,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_84 ),
    inference(superposition,[],[f168,f740]) ).

fof(f2280,plain,
    ( ~ spl15_85
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f2278,f738,f748]) ).

fof(f2281,plain,
    ( ~ spl15_119
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f2277,f738,f947]) ).

fof(f2294,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_99 ),
    inference(superposition,[],[f176,f853]) ).

fof(f2295,plain,
    ( op(e0,e0) != e2
    | ~ spl15_99 ),
    inference(superposition,[],[f178,f853]) ).

fof(f2298,plain,
    ( ~ spl15_119
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f2294,f851,f947]) ).

fof(f2301,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_104 ),
    inference(superposition,[],[f140,f876]) ).

fof(f2302,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_104 ),
    inference(superposition,[],[f142,f876]) ).

fof(f2303,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_104 ),
    inference(superposition,[],[f159,f876]) ).

fof(f2304,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_104 ),
    inference(superposition,[],[f161,f876]) ).

fof(f2308,plain,
    ( ~ spl15_105
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2303,f874,f878]) ).

fof(f2340,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_52
    | ~ spl15_97 ),
    inference(superposition,[],[f553,f844]) ).

fof(f2345,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_62 ),
    inference(forward_subsumption_resolution,[],[f1605,f592]) ).

fof(f2346,plain,
    ( ~ spl15_60
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f2345]) ).

fof(f2349,plain,
    ( ~ spl15_71
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f1623,f635,f645]) ).

fof(f2352,plain,
    ( $false
    | ~ spl15_95
    | ~ spl15_114 ),
    inference(forward_subsumption_resolution,[],[f2131,f832]) ).

fof(f2353,plain,
    ( ~ spl15_95
    | ~ spl15_114 ),
    inference(avatar_contradiction_clause,[],[f2352]) ).

fof(f2354,plain,
    ( ~ spl15_118
    | ~ spl15_1
    | spl15_17 ),
    inference(avatar_split_clause,[],[f1824,f394,f324,f942]) ).

fof(f2355,plain,
    ( ~ spl15_4
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f1747,f630,f337]) ).

fof(f2356,plain,
    ( ~ spl15_4
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f1627,f800,f337]) ).

fof(f2357,plain,
    ( ~ spl15_95
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f2131,f922,f830]) ).

fof(f2359,plain,
    ( ~ spl15_60
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f1605,f601,f591]) ).

fof(f2360,plain,
    ( ~ spl15_14
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1617,f838,f381]) ).

fof(f2361,plain,
    ( ~ spl15_10
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f2295,f851,f363]) ).

fof(f2362,plain,
    ( ~ spl15_1
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f2130,f922,f324]) ).

fof(f2363,plain,
    ( ~ spl15_63
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2233,f464,f605]) ).

fof(f2364,plain,
    ( ~ spl15_96
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2234,f464,f838]) ).

fof(f2367,plain,
    ( ~ spl15_14
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f1935,f610,f381]) ).

fof(f2368,plain,
    ( ~ spl15_14
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f2276,f738,f381]) ).

fof(f2369,plain,
    ( ~ spl15_115
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2301,f874,f927]) ).

fof(f2370,plain,
    ( ~ spl15_94
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2302,f874,f820]) ).

fof(f2371,plain,
    ( ~ spl15_69
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2304,f874,f635]) ).

fof(f2372,plain,
    ( ~ spl15_99
    | spl15_73
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1677,f883,f655,f851]) ).

fof(f2373,plain,
    ( ~ spl15_107
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1606,f883,f887]) ).

fof(f2374,plain,
    ( ~ spl15_117
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f1650,f905,f937]) ).

fof(f2429,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_101 ),
    inference(superposition,[],[f151,f862]) ).

fof(f2430,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_101 ),
    inference(superposition,[],[f152,f862]) ).

fof(f2431,plain,
    ( op(e0,e0) != e1
    | ~ spl15_101 ),
    inference(superposition,[],[f154,f862]) ).

fof(f2483,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_84
    | spl15_87 ),
    inference(superposition,[],[f761,f740]) ).

fof(f2484,plain,
    ( $false
    | ~ spl15_84
    | spl15_87 ),
    inference(forward_subsumption_resolution,[],[f2483,f740]) ).

fof(f2485,plain,
    ( ~ spl15_84
    | spl15_87 ),
    inference(avatar_contradiction_clause,[],[f2484]) ).

fof(f2487,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_59
    | spl15_88 ),
    inference(superposition,[],[f766,f589]) ).

fof(f2488,plain,
    ( $false
    | ~ spl15_59
    | spl15_88 ),
    inference(forward_subsumption_resolution,[],[f2487,f589]) ).

fof(f2489,plain,
    ( ~ spl15_59
    | spl15_88 ),
    inference(avatar_contradiction_clause,[],[f2488]) ).

fof(f2491,plain,
    ( e0 != op(e1,e0)
    | spl15_89
    | ~ spl15_95 ),
    inference(superposition,[],[f771,f832]) ).

fof(f2492,plain,
    ( $false
    | spl15_89
    | ~ spl15_95 ),
    inference(forward_subsumption_resolution,[],[f2491,f832]) ).

fof(f2493,plain,
    ( spl15_89
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f2492]) ).

fof(f2500,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_10
    | spl15_11 ),
    inference(superposition,[],[f369,f364]) ).

fof(f2503,plain,
    ( e3 != op(e2,e0)
    | spl15_6
    | ~ spl15_10 ),
    inference(superposition,[],[f347,f364]) ).

fof(f2508,plain,
    ( ~ spl15_10
    | spl15_53
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1750,f640,f557,f363]) ).

fof(f2510,plain,
    ( ~ spl15_101
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2215,f426,f860]) ).

fof(f2513,plain,
    ( ~ spl15_111
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1941,f676,f905]) ).

fof(f2514,plain,
    ( ~ spl15_113
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f2075,f784,f917]) ).

fof(f2516,plain,
    ( ~ spl15_10
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f2106,f842,f363]) ).

fof(f2517,plain,
    ( ~ spl15_23
    | ~ spl15_109 ),
    inference(avatar_split_clause,[],[f1626,f896,f421]) ).

fof(f2518,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_4
    | spl15_5 ),
    inference(superposition,[],[f343,f338]) ).

fof(f2520,plain,
    ( ~ spl15_14
    | ~ spl15_4
    | spl15_5 ),
    inference(avatar_split_clause,[],[f2518,f341,f337,f381]) ).

fof(f2522,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_14 ),
    inference(superposition,[],[f150,f382]) ).

fof(f2523,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_14 ),
    inference(superposition,[],[f174,f382]) ).

fof(f2525,plain,
    ( e3 != op(e2,e1)
    | spl15_3
    | ~ spl15_14 ),
    inference(superposition,[],[f334,f382]) ).

fof(f2527,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_14
    | spl15_35 ),
    inference(superposition,[],[f481,f382]) ).

fof(f2528,plain,
    ( ~ spl15_110
    | spl15_3
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f2525,f381,f332,f901]) ).

fof(f2529,plain,
    ( ~ spl15_118
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f2523,f381,f942]) ).

fof(f2594,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_105 ),
    inference(superposition,[],[f145,f880]) ).

fof(f2595,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_105 ),
    inference(superposition,[],[f146,f880]) ).

fof(f2596,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_105 ),
    inference(superposition,[],[f148,f880]) ).

fof(f2622,plain,
    ( op(e0,e0) != e3
    | ~ spl15_117 ),
    inference(superposition,[],[f180,f939]) ).

fof(f2624,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_4
    | spl15_6 ),
    inference(superposition,[],[f347,f338]) ).

fof(f2628,plain,
    ( ~ spl15_67
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f2170,f372,f625]) ).

fof(f2629,plain,
    ( ~ spl15_107
    | ~ spl15_26
    | spl15_35 ),
    inference(avatar_split_clause,[],[f1663,f479,f435,f887]) ).

fof(f2630,plain,
    ( ~ spl15_117
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1621,f435,f937]) ).

fof(f2632,plain,
    ( ~ spl15_71
    | ~ spl15_4
    | spl15_55 ),
    inference(avatar_split_clause,[],[f2150,f567,f337,f645]) ).

fof(f2633,plain,
    ( ~ spl15_76
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f1628,f601,f676]) ).

fof(f2634,plain,
    ( ~ spl15_67
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f2190,f620,f625]) ).

fof(f2635,plain,
    ( ~ spl15_99
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f1950,f722,f851]) ).

fof(f2638,plain,
    ( ~ spl15_117
    | ~ spl15_4
    | spl15_6 ),
    inference(avatar_split_clause,[],[f2624,f345,f337,f937]) ).

fof(f2662,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_63 ),
    inference(superposition,[],[f139,f606]) ).

fof(f2663,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_63 ),
    inference(superposition,[],[f140,f606]) ).

fof(f2666,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_63 ),
    inference(superposition,[],[f161,f606]) ).

fof(f2672,plain,
    ( ~ spl15_97
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f2666,f605,f842]) ).

fof(f2698,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_93 ),
    inference(superposition,[],[f175,f812]) ).

fof(f2699,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_93 ),
    inference(superposition,[],[f176,f812]) ).

fof(f2703,plain,
    ( ~ spl15_94
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f2698,f810,f820]) ).

fof(f2728,plain,
    ( op(e0,e0) != e2
    | ~ spl15_118 ),
    inference(superposition,[],[f156,f944]) ).

fof(f2737,plain,
    ( e0 = e1
    | ~ spl15_90
    | ~ spl15_107 ),
    inference(superposition,[],[f889,f776]) ).

fof(f2738,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_107 ),
    inference(superposition,[],[f138,f889]) ).

fof(f2739,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_107 ),
    inference(superposition,[],[f169,f889]) ).

fof(f2740,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_107 ),
    inference(superposition,[],[f170,f889]) ).

fof(f2741,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_107 ),
    inference(superposition,[],[f172,f889]) ).

fof(f2751,plain,
    ( $false
    | ~ spl15_90
    | ~ spl15_107 ),
    inference(forward_subsumption_resolution,[],[f2737,f186]) ).

fof(f2752,plain,
    ( ~ spl15_90
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f2751]) ).

fof(f2755,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_36
    | ~ spl15_62 ),
    inference(superposition,[],[f485,f603]) ).

fof(f2757,plain,
    ( $false
    | spl15_20
    | ~ spl15_36
    | ~ spl15_62 ),
    inference(forward_subsumption_resolution,[],[f2755,f410]) ).

fof(f2758,plain,
    ( spl15_20
    | ~ spl15_36
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f2757]) ).

fof(f2768,plain,
    ( e1 != op(e2,e0)
    | spl15_81
    | ~ spl15_115 ),
    inference(superposition,[],[f714,f929]) ).

fof(f2769,plain,
    ( e0 != op(e2,e3)
    | spl15_82
    | ~ spl15_111 ),
    inference(superposition,[],[f719,f907]) ).

fof(f2771,plain,
    ( e2 != op(e1,e0)
    | spl15_87
    | ~ spl15_114 ),
    inference(superposition,[],[f761,f924]) ).

fof(f2774,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_87
    | ~ spl15_114 ),
    inference(superposition,[],[f760,f924]) ).

fof(f2775,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_26
    | spl15_88 ),
    inference(superposition,[],[f766,f436]) ).

fof(f2779,plain,
    ( e0 != op(e1,e2)
    | spl15_89
    | ~ spl15_119 ),
    inference(superposition,[],[f771,f949]) ).

fof(f2783,plain,
    ( e2 != op(e3,e3)
    | spl15_2
    | ~ spl15_26 ),
    inference(superposition,[],[f330,f436]) ).

fof(f2785,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_12
    | spl15_13 ),
    inference(superposition,[],[f378,f373]) ).

fof(f2786,plain,
    ( e0 != op(e3,e3)
    | spl15_15
    | ~ spl15_26 ),
    inference(superposition,[],[f387,f436]) ).

fof(f2793,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_4
    | spl15_18 ),
    inference(superposition,[],[f401,f338]) ).

fof(f2796,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_4
    | spl15_19 ),
    inference(superposition,[],[f405,f338]) ).

fof(f2799,plain,
    ( ~ spl15_12
    | ~ spl15_10
    | spl15_11 ),
    inference(avatar_split_clause,[],[f2500,f367,f363,f372]) ).

fof(f2808,plain,
    ( ~ spl15_95
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f2699,f810,f830]) ).

fof(f2809,plain,
    ( spl15_71
    | ~ spl15_4
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f2153,f567,f337,f645]) ).

fof(f2810,plain,
    ( ~ spl15_26
    | ~ spl15_4
    | spl15_18 ),
    inference(avatar_split_clause,[],[f2793,f399,f337,f435]) ).

fof(f2812,plain,
    ( spl15_119
    | ~ spl15_87
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f2774,f922,f759,f947]) ).

fof(f2813,plain,
    ( ~ spl15_10
    | ~ spl15_119 ),
    inference(avatar_split_clause,[],[f2140,f947,f363]) ).

fof(f2815,plain,
    ( ~ spl15_104
    | spl15_82
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f2769,f905,f717,f874]) ).

fof(f2846,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_16
    | ~ spl15_59 ),
    inference(superposition,[],[f391,f589]) ).

fof(f2850,plain,
    ( $false
    | ~ spl15_16
    | spl15_26
    | ~ spl15_59 ),
    inference(forward_subsumption_resolution,[],[f2846,f437]) ).

fof(f2851,plain,
    ( ~ spl15_16
    | spl15_26
    | ~ spl15_59 ),
    inference(avatar_contradiction_clause,[],[f2850]) ).

fof(f2861,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_64
    | spl15_81 ),
    inference(superposition,[],[f714,f611]) ).

fof(f2864,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_64
    | spl15_81 ),
    inference(forward_subsumption_resolution,[],[f2861,f373]) ).

fof(f2865,plain,
    ( ~ spl15_12
    | ~ spl15_64
    | spl15_81 ),
    inference(avatar_contradiction_clause,[],[f2864]) ).

fof(f2892,plain,
    ( spl15_109
    | ~ spl15_52
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f2340,f842,f552,f896]) ).

fof(f2936,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_24
    | spl15_72 ),
    inference(superposition,[],[f652,f427]) ).

fof(f2937,plain,
    ( $false
    | ~ spl15_24
    | ~ spl15_60
    | spl15_72 ),
    inference(forward_subsumption_resolution,[],[f2936,f592]) ).

fof(f2938,plain,
    ( ~ spl15_24
    | ~ spl15_60
    | spl15_72 ),
    inference(avatar_contradiction_clause,[],[f2937]) ).

fof(f2939,plain,
    ( ~ spl15_111
    | spl15_6
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f2503,f363,f345,f905]) ).

fof(f2941,plain,
    ( ~ spl15_119
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f2522,f381,f947]) ).

fof(f2943,plain,
    ( ~ spl15_71
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1748,f640,f645]) ).

fof(f2945,plain,
    ( ~ spl15_114
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f2594,f878,f922]) ).

fof(f2946,plain,
    ( ~ spl15_1
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f2595,f878,f324]) ).

fof(f2947,plain,
    ( ~ spl15_93
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f2738,f887,f810]) ).

fof(f2948,plain,
    ( ~ spl15_1
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f2740,f887,f324]) ).

fof(f2949,plain,
    ( ~ spl15_71
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f2741,f887,f645]) ).

fof(f2951,plain,
    ( ~ spl15_78
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f1631,f601,f696]) ).

fof(f2952,plain,
    ( ~ spl15_57
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f2662,f605,f578]) ).

fof(f2953,plain,
    ( ~ spl15_64
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f2663,f605,f610]) ).

fof(f2954,plain,
    ( ~ spl15_59
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f2191,f620,f587]) ).

fof(f2955,plain,
    ( ~ spl15_68
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f2192,f620,f630]) ).

fof(f2958,plain,
    ( ~ spl15_70
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f1622,f635,f640]) ).

fof(f2959,plain,
    ( ~ spl15_114
    | spl15_89
    | ~ spl15_119 ),
    inference(avatar_split_clause,[],[f2779,f947,f769,f922]) ).

fof(f2960,plain,
    ( ~ spl15_10
    | ~ spl15_118 ),
    inference(avatar_split_clause,[],[f2728,f942,f363]) ).

fof(f2963,plain,
    ( op(e0,e0) != e2
    | ~ spl15_1
    | spl15_2 ),
    inference(superposition,[],[f330,f325]) ).

fof(f2967,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_1
    | ~ spl15_88 ),
    inference(superposition,[],[f765,f325]) ).

fof(f2968,plain,
    ( spl15_68
    | ~ spl15_1
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f2967,f764,f324,f630]) ).

fof(f2969,plain,
    ( ~ spl15_10
    | ~ spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f2963,f328,f324,f363]) ).

fof(f2982,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_23
    | ~ spl15_55 ),
    inference(superposition,[],[f568,f422]) ).

fof(f2984,plain,
    ( spl15_69
    | ~ spl15_23
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f2982,f567,f421,f635]) ).

fof(f3012,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_69 ),
    inference(superposition,[],[f154,f636]) ).

fof(f3047,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_87
    | ~ spl15_108 ),
    inference(superposition,[],[f760,f894]) ).

fof(f3056,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_112 ),
    inference(superposition,[],[f153,f914]) ).

fof(f3057,plain,
    ( op(e0,e0) != e1
    | ~ spl15_112 ),
    inference(superposition,[],[f155,f914]) ).

fof(f3061,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_113 ),
    inference(superposition,[],[f177,f919]) ).

fof(f3062,plain,
    ( op(e0,e0) != e1
    | ~ spl15_113 ),
    inference(superposition,[],[f179,f919]) ).

fof(f3075,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_1
    | ~ spl15_3 ),
    inference(superposition,[],[f333,f325]) ).

fof(f3077,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_3
    | spl15_116 ),
    inference(forward_subsumption_resolution,[],[f3075,f933]) ).

fof(f3078,plain,
    ( ~ spl15_1
    | ~ spl15_3
    | spl15_116 ),
    inference(avatar_contradiction_clause,[],[f3077]) ).

fof(f3083,plain,
    ( e2 != op(e3,e0)
    | spl15_19
    | ~ spl15_23 ),
    inference(superposition,[],[f405,f422]) ).

fof(f3084,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_31
    | ~ spl15_62 ),
    inference(superposition,[],[f459,f603]) ).

fof(f3086,plain,
    ( $false
    | spl15_24
    | ~ spl15_31
    | ~ spl15_62 ),
    inference(forward_subsumption_resolution,[],[f3084,f428]) ).

fof(f3087,plain,
    ( spl15_24
    | ~ spl15_31
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f3086]) ).

fof(f3090,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_63
    | spl15_79 ),
    inference(superposition,[],[f704,f606]) ).

fof(f3093,plain,
    ( e0 != op(e2,e1)
    | spl15_82
    | ~ spl15_113 ),
    inference(superposition,[],[f719,f919]) ).

fof(f3096,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_1
    | spl15_88 ),
    inference(superposition,[],[f766,f325]) ).

fof(f3098,plain,
    ( e2 != op(e3,e3)
    | spl15_5
    | ~ spl15_23 ),
    inference(superposition,[],[f343,f422]) ).

fof(f3099,plain,
    ( op(e0,e0) != e1
    | ~ spl15_7
    | spl15_8 ),
    inference(superposition,[],[f356,f351]) ).

fof(f3100,plain,
    ( e1 != op(e3,e3)
    | spl15_11
    | ~ spl15_23 ),
    inference(superposition,[],[f369,f422]) ).

fof(f3101,plain,
    ( op(e0,e0) != e3
    | ~ spl15_1
    | spl15_16 ),
    inference(superposition,[],[f392,f325]) ).

fof(f3104,plain,
    ( ~ spl15_113
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f1648,f869,f917]) ).

fof(f3105,plain,
    ( ~ spl15_23
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f1652,f905,f421]) ).

fof(f3116,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_14
    | spl15_15 ),
    inference(superposition,[],[f387,f382]) ).

fof(f3117,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_14
    | spl15_16 ),
    inference(superposition,[],[f392,f382]) ).

fof(f3131,plain,
    ( e1 != op(e2,e1)
    | spl15_81
    | ~ spl15_91 ),
    inference(superposition,[],[f714,f786]) ).

fof(f3133,plain,
    ( $false
    | spl15_81
    | ~ spl15_91 ),
    inference(forward_subsumption_resolution,[],[f3131,f786]) ).

fof(f3134,plain,
    ( spl15_81
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f3133]) ).

fof(f3135,plain,
    ( ~ spl15_119
    | ~ spl15_4
    | spl15_19 ),
    inference(avatar_split_clause,[],[f2796,f403,f337,f947]) ).

fof(f3136,plain,
    ( ~ spl15_107
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f1717,f408,f887]) ).

fof(f3137,plain,
    ( ~ spl15_93
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f1718,f408,f810]) ).

fof(f3140,plain,
    ( ~ spl15_4
    | ~ spl15_7
    | spl15_8 ),
    inference(avatar_split_clause,[],[f3099,f354,f350,f337]) ).

fof(f3244,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_7
    | spl15_9 ),
    inference(superposition,[],[f360,f351]) ).

fof(f3245,plain,
    ( $false
    | ~ spl15_7
    | spl15_9
    | ~ spl15_109 ),
    inference(forward_subsumption_resolution,[],[f3244,f898]) ).

fof(f3246,plain,
    ( ~ spl15_7
    | spl15_9
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f3245]) ).

fof(f3249,plain,
    ( ~ spl15_4
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2431,f860,f337]) ).

fof(f3250,plain,
    ( spl15_96
    | ~ spl15_87
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f3047,f892,f759,f838]) ).

fof(f3251,plain,
    ( ~ spl15_4
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f3062,f917,f337]) ).

fof(f3263,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_76
    | spl15_79 ),
    inference(superposition,[],[f704,f678]) ).

fof(f3265,plain,
    ( $false
    | ~ spl15_76
    | spl15_79 ),
    inference(forward_subsumption_resolution,[],[f3263,f678]) ).

fof(f3266,plain,
    ( ~ spl15_76
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f3265]) ).

fof(f3307,plain,
    ( e2 != op(e0,e2)
    | spl15_53
    | ~ spl15_85 ),
    inference(superposition,[],[f559,f750]) ).

fof(f3308,plain,
    ( $false
    | spl15_53
    | ~ spl15_85 ),
    inference(forward_subsumption_resolution,[],[f3307,f750]) ).

fof(f3309,plain,
    ( spl15_53
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f3308]) ).

fof(f3310,plain,
    ( ~ spl15_115
    | ~ spl15_14
    | spl15_35 ),
    inference(avatar_split_clause,[],[f2527,f479,f381,f927]) ).

fof(f3312,plain,
    ( ~ spl15_7
    | ~ spl15_14
    | spl15_15 ),
    inference(avatar_split_clause,[],[f3116,f385,f381,f350]) ).

fof(f3314,plain,
    ( ~ spl15_95
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f2596,f878,f830]) ).

fof(f3315,plain,
    ( ~ spl15_23
    | ~ spl15_117 ),
    inference(avatar_split_clause,[],[f2622,f937,f421]) ).

fof(f3317,plain,
    ( ~ spl15_101
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f2193,f620,f860]) ).

fof(f3347,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_58 ),
    inference(superposition,[],[f135,f583]) ).

fof(f3350,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_58 ),
    inference(superposition,[],[f164,f583]) ).

fof(f3354,plain,
    ( ~ spl15_108
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f3350,f582,f892]) ).

fof(f3355,plain,
    ( ~ spl15_60
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f3347,f582,f591]) ).

fof(f3356,plain,
    ( ~ spl15_116
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1647,f435,f932]) ).

fof(f3360,plain,
    ( ~ spl15_112
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2429,f860,f912]) ).

fof(f3386,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_95 ),
    inference(superposition,[],[f180,f832]) ).

fof(f3431,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_58
    | spl15_73 ),
    inference(superposition,[],[f657,f583]) ).

fof(f3432,plain,
    ( e1 != op(e3,e1)
    | spl15_74
    | ~ spl15_90 ),
    inference(superposition,[],[f662,f776]) ).

fof(f3433,plain,
    ( $false
    | spl15_74
    | ~ spl15_90 ),
    inference(forward_subsumption_resolution,[],[f3432,f776]) ).

fof(f3434,plain,
    ( spl15_74
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f3433]) ).

fof(f3435,plain,
    ( ~ spl15_20
    | spl15_15
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f2786,f435,f385,f408]) ).

fof(f3437,plain,
    ( ~ spl15_99
    | spl15_19
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f3083,f421,f403,f851]) ).

fof(f3438,plain,
    ( ~ spl15_99
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f1609,f847,f851]) ).

fof(f3439,plain,
    ( ~ spl15_24
    | spl15_11
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f3100,f421,f367,f426]) ).

fof(f3448,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_24
    | ~ spl15_31 ),
    inference(superposition,[],[f459,f427]) ).

fof(f3452,plain,
    ( $false
    | ~ spl15_24
    | ~ spl15_31
    | spl15_66 ),
    inference(forward_subsumption_resolution,[],[f3448,f622]) ).

fof(f3453,plain,
    ( ~ spl15_24
    | ~ spl15_31
    | spl15_66 ),
    inference(avatar_contradiction_clause,[],[f3452]) ).

fof(f3460,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_93 ),
    inference(superposition,[],[f178,f812]) ).

fof(f3499,plain,
    ( e0 != op(e3,e0)
    | spl15_75
    | ~ spl15_93 ),
    inference(superposition,[],[f667,f812]) ).

fof(f3500,plain,
    ( $false
    | spl15_75
    | ~ spl15_93 ),
    inference(forward_subsumption_resolution,[],[f3499,f812]) ).

fof(f3501,plain,
    ( spl15_75
    | ~ spl15_93 ),
    inference(avatar_contradiction_clause,[],[f3500]) ).

fof(f3502,plain,
    ( ~ spl15_32
    | spl15_2
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f2783,f435,f328,f464]) ).

fof(f3503,plain,
    ( ~ spl15_32
    | spl15_5
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f3098,f421,f341,f464]) ).

fof(f3504,plain,
    ( ~ spl15_98
    | spl15_17
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1655,f435,f394,f847]) ).

fof(f3505,plain,
    ( ~ spl15_92
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f2077,f784,f800]) ).

fof(f3506,plain,
    ( ~ spl15_92
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2430,f860,f800]) ).

fof(f3507,plain,
    ( ~ spl15_115
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f2739,f887,f927]) ).

fof(f3508,plain,
    ( ~ spl15_32
    | ~ spl15_58
    | spl15_73 ),
    inference(avatar_split_clause,[],[f3431,f655,f582,f464]) ).

fof(f3566,plain,
    ( op(e0,e0) != e3
    | ~ spl15_116 ),
    inference(superposition,[],[f156,f934]) ).

fof(f3574,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_32
    | spl15_36 ),
    inference(superposition,[],[f486,f465]) ).

fof(f3577,plain,
    ( e1 != op(e0,e3)
    | spl15_54
    | ~ spl15_116 ),
    inference(superposition,[],[f564,f934]) ).

fof(f3578,plain,
    ( $false
    | spl15_54
    | ~ spl15_101
    | ~ spl15_116 ),
    inference(forward_subsumption_resolution,[],[f3577,f862]) ).

fof(f3579,plain,
    ( spl15_54
    | ~ spl15_101
    | ~ spl15_116 ),
    inference(avatar_contradiction_clause,[],[f3578]) ).

fof(f3589,plain,
    ( e3 != op(e1,e0)
    | spl15_86
    | ~ spl15_105 ),
    inference(superposition,[],[f756,f880]) ).

fof(f3590,plain,
    ( $false
    | spl15_86
    | ~ spl15_105
    | ~ spl15_117 ),
    inference(forward_subsumption_resolution,[],[f3589,f939]) ).

fof(f3591,plain,
    ( spl15_86
    | ~ spl15_105
    | ~ spl15_117 ),
    inference(avatar_contradiction_clause,[],[f3590]) ).

fof(f3592,plain,
    ( ~ spl15_33
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1939,f676,f469]) ).

fof(f3593,plain,
    ( ~ spl15_69
    | ~ spl15_23
    | spl15_55 ),
    inference(avatar_split_clause,[],[f1701,f567,f421,f635]) ).

fof(f3598,plain,
    ( ~ spl15_4
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f3057,f912,f337]) ).

fof(f3599,plain,
    ( ~ spl15_70
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f2132,f922,f640]) ).

fof(f3615,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_33 ),
    inference(superposition,[],[f141,f470]) ).

fof(f3617,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_33 ),
    inference(superposition,[],[f165,f470]) ).

fof(f3618,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_33 ),
    inference(superposition,[],[f167,f470]) ).

fof(f3621,plain,
    ( e0 != op(e3,e3)
    | spl15_13
    | ~ spl15_33 ),
    inference(superposition,[],[f378,f470]) ).

fof(f3622,plain,
    ( $false
    | spl15_13
    | ~ spl15_20
    | ~ spl15_33 ),
    inference(forward_subsumption_resolution,[],[f3621,f409]) ).

fof(f3623,plain,
    ( spl15_13
    | ~ spl15_20
    | ~ spl15_33 ),
    inference(avatar_contradiction_clause,[],[f3622]) ).

fof(f3624,plain,
    ( ~ spl15_109
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f3618,f469,f896]) ).

fof(f3643,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_71 ),
    inference(superposition,[],[f156,f646]) ).

fof(f3701,plain,
    ( e1 != op(e3,e2)
    | spl15_28
    | ~ spl15_33 ),
    inference(superposition,[],[f446,f470]) ).

fof(f3709,plain,
    ( e2 != op(e3,e2)
    | spl15_73
    | ~ spl15_83 ),
    inference(superposition,[],[f657,f724]) ).

fof(f3710,plain,
    ( $false
    | spl15_73
    | ~ spl15_83 ),
    inference(forward_subsumption_resolution,[],[f3709,f724]) ).

fof(f3711,plain,
    ( spl15_73
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f3710]) ).

fof(f3714,plain,
    ( $false
    | ~ spl15_33
    | ~ spl15_63
    | spl15_79 ),
    inference(forward_subsumption_resolution,[],[f3090,f470]) ).

fof(f3715,plain,
    ( ~ spl15_33
    | ~ spl15_63
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f3714]) ).

fof(f3716,plain,
    ( ~ spl15_115
    | spl15_82
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f3093,f917,f717,f927]) ).

fof(f3717,plain,
    ( ~ spl15_113
    | spl15_81
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f2768,f927,f712,f917]) ).

fof(f3722,plain,
    ( $false
    | ~ spl15_14
    | spl15_16
    | ~ spl15_33 ),
    inference(forward_subsumption_resolution,[],[f3117,f470]) ).

fof(f3723,plain,
    ( ~ spl15_14
    | spl15_16
    | ~ spl15_33 ),
    inference(avatar_contradiction_clause,[],[f3722]) ).

fof(f3725,plain,
    ( ~ spl15_119
    | spl15_87
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f2771,f922,f759,f947]) ).

fof(f3726,plain,
    ( ~ spl15_103
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1958,f774,f869]) ).

fof(f3727,plain,
    ( ~ spl15_23
    | ~ spl15_116 ),
    inference(avatar_split_clause,[],[f3566,f932,f421]) ).

fof(f3729,plain,
    ( ~ spl15_23
    | ~ spl15_1
    | spl15_16 ),
    inference(avatar_split_clause,[],[f3101,f390,f324,f421]) ).

fof(f3730,plain,
    ( ~ spl15_93
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1608,f883,f810]) ).

fof(f3837,plain,
    ( e0 != op(e0,e0)
    | spl15_55
    | ~ spl15_56 ),
    inference(superposition,[],[f569,f574]) ).

fof(f3838,plain,
    ( $false
    | spl15_55
    | ~ spl15_56 ),
    inference(forward_subsumption_resolution,[],[f3837,f574]) ).

fof(f3839,plain,
    ( spl15_55
    | ~ spl15_56 ),
    inference(avatar_contradiction_clause,[],[f3838]) ).

fof(f3845,plain,
    ( ~ spl15_68
    | ~ spl15_1
    | spl15_88 ),
    inference(avatar_split_clause,[],[f3096,f764,f324,f630]) ).

fof(f3909,plain,
    ( e3 != op(e1,e2)
    | spl15_9
    | ~ spl15_12 ),
    inference(superposition,[],[f360,f373]) ).

fof(f3910,plain,
    ( $false
    | spl15_9
    | ~ spl15_12
    | ~ spl15_108 ),
    inference(forward_subsumption_resolution,[],[f3909,f894]) ).

fof(f3911,plain,
    ( spl15_9
    | ~ spl15_12
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f3910]) ).

fof(f3912,plain,
    ( $false
    | ~ spl15_32
    | spl15_36
    | ~ spl15_104 ),
    inference(forward_subsumption_resolution,[],[f3574,f876]) ).

fof(f3913,plain,
    ( ~ spl15_32
    | spl15_36
    | ~ spl15_104 ),
    inference(avatar_contradiction_clause,[],[f3912]) ).

fof(f3919,plain,
    ( ~ spl15_92
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f3056,f912,f800]) ).

fof(f3920,plain,
    ( ~ spl15_68
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f3061,f917,f630]) ).

fof(f3922,plain,
    ( ~ spl15_1
    | ~ spl15_12
    | spl15_13 ),
    inference(avatar_split_clause,[],[f2785,f376,f372,f324]) ).

fof(f3923,plain,
    ( ~ spl15_119
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f1984,f615,f947]) ).

fof(f3932,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_71 ),
    inference(forward_subsumption_resolution,[],[f3643,f574]) ).

fof(f3933,plain,
    ( ~ spl15_56
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f3932]) ).

fof(f3934,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_95 ),
    inference(forward_subsumption_resolution,[],[f1653,f574]) ).

fof(f3935,plain,
    ( ~ spl15_56
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f3934]) ).

fof(f3944,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_95 ),
    inference(forward_subsumption_resolution,[],[f3386,f574]) ).

fof(f3945,plain,
    ( ~ spl15_56
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f3944]) ).

fof(f3948,plain,
    ( ~ spl15_66
    | ~ spl15_26
    | spl15_88 ),
    inference(avatar_split_clause,[],[f2775,f764,f435,f620]) ).

fof(f3949,plain,
    ( ~ spl15_110
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f3615,f469,f901]) ).

fof(f3950,plain,
    ( ~ spl15_108
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f3617,f469,f892]) ).

fof(f3951,plain,
    ( ~ spl15_102
    | spl15_28
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f3701,f469,f444,f865]) ).

fof(f3952,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_69 ),
    inference(forward_subsumption_resolution,[],[f1625,f574]) ).

fof(f3953,plain,
    ( ~ spl15_56
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f3952]) ).

fof(f3956,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_69 ),
    inference(forward_subsumption_resolution,[],[f3012,f574]) ).

fof(f3957,plain,
    ( ~ spl15_56
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f3956]) ).

fof(f3962,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_93 ),
    inference(forward_subsumption_resolution,[],[f3460,f574]) ).

fof(f3963,plain,
    ( ~ spl15_56
    | ~ spl15_93 ),
    inference(avatar_contradiction_clause,[],[f3962]) ).

cnf(s1,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s2,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | ~ spl15_6 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s3,plain,
    ( ~ spl15_7
    | ~ spl15_8
    | ~ spl15_9 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s4,plain,
    ( ~ spl15_6
    | ~ spl15_10
    | ~ spl15_11 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s5,plain,
    ( ~ spl15_9
    | ~ spl15_12
    | ~ spl15_13 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s6,plain,
    ( ~ spl15_3
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s7,plain,
    ( ~ spl15_1
    | ~ spl15_16
    | ~ spl15_17 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s8,plain,
    ( ~ spl15_4
    | ~ spl15_18
    | ~ spl15_19 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s10,plain,
    ( ~ spl15_11
    | ~ spl15_19
    | ~ spl15_23 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s12,plain,
    ( ~ spl15_15
    | ~ spl15_17
    | ~ spl15_26 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s16,plain,
    ( ~ spl15_5
    | ~ spl15_23
    | ~ spl15_29 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s18,plain,
    ( ~ spl15_13
    | ~ spl15_28
    | ~ spl15_33 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s20,plain,
    ( ~ spl15_14
    | ~ spl15_16
    | ~ spl15_35 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s22,plain,
    ( ~ spl15_2
    | ~ spl15_26
    | ~ spl15_35 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s28,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | ~ spl15_55 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s30,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | spl15_56 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s31,plain,
    ( spl15_10
    | spl15_14
    | spl15_32
    | spl15_57
    | ~ spl15_58 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s32,plain,
    ( spl15_4
    | spl15_12
    | spl15_24
    | spl15_59
    | ~ spl15_60 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s33,plain,
    ( spl15_1
    | spl15_7
    | spl15_20
    | spl15_56
    | ~ spl15_61 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s34,plain,
    ( spl15_23
    | spl15_26
    | spl15_33
    | spl15_62
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s35,plain,
    ( spl15_4
    | spl15_12
    | spl15_24
    | spl15_59
    | ~ spl15_64 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s36,plain,
    ( spl15_1
    | spl15_7
    | spl15_20
    | spl15_56
    | ~ spl15_65 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s37,plain,
    ( spl15_23
    | spl15_26
    | spl15_33
    | spl15_62
    | ~ spl15_66 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s38,plain,
    ( spl15_10
    | spl15_14
    | spl15_32
    | spl15_57
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s39,plain,
    ( spl15_1
    | spl15_7
    | spl15_20
    | spl15_56
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s40,plain,
    ( spl15_23
    | spl15_26
    | spl15_33
    | spl15_62
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s41,plain,
    ( spl15_10
    | spl15_14
    | spl15_32
    | spl15_57
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s42,plain,
    ( spl15_4
    | spl15_12
    | spl15_24
    | spl15_59
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s43,plain,
    ( ~ spl15_37
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s48,plain,
    ( ~ spl15_37
    | spl15_62 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s50,plain,
    ( ~ spl15_38
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s51,plain,
    ( ~ spl15_38
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s52,plain,
    ( ~ spl15_38
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s53,plain,
    ( ~ spl15_38
    | spl15_76 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s54,plain,
    ( ~ spl15_38
    | spl15_58 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s55,plain,
    ( ~ spl15_39
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s56,plain,
    ( ~ spl15_39
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s58,plain,
    ( ~ spl15_39
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s59,plain,
    ( ~ spl15_39
    | spl15_77 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s60,plain,
    ( ~ spl15_39
    | spl15_60 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s61,plain,
    ( ~ spl15_40
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s62,plain,
    ( ~ spl15_40
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s63,plain,
    ( ~ spl15_40
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s64,plain,
    ( ~ spl15_40
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s65,plain,
    ( ~ spl15_40
    | spl15_78 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s66,plain,
    ( ~ spl15_40
    | spl15_61 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s67,plain,
    ( ~ spl15_41
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s69,plain,
    ( ~ spl15_41
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s70,plain,
    ( ~ spl15_41
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s71,plain,
    ( ~ spl15_41
    | spl15_83 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s72,plain,
    ( ~ spl15_41
    | spl15_63 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s74,plain,
    ( ~ spl15_42
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s78,plain,
    ( ~ spl15_42
    | spl15_57 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s79,plain,
    ( ~ spl15_43
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s81,plain,
    ( ~ spl15_43
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s82,plain,
    ( ~ spl15_43
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s83,plain,
    ( ~ spl15_43
    | spl15_84 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s84,plain,
    ( ~ spl15_43
    | spl15_64 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s85,plain,
    ( ~ spl15_44
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s87,plain,
    ( ~ spl15_44
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s89,plain,
    ( ~ spl15_44
    | spl15_85 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s90,plain,
    ( ~ spl15_44
    | spl15_65 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s92,plain,
    ( ~ spl15_45
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s93,plain,
    ( ~ spl15_45
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s94,plain,
    ( ~ spl15_45
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s95,plain,
    ( ~ spl15_45
    | spl15_90 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s96,plain,
    ( ~ spl15_45
    | spl15_66 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s97,plain,
    ( ~ spl15_46
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s100,plain,
    ( ~ spl15_46
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s101,plain,
    ( ~ spl15_46
    | spl15_91 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s102,plain,
    ( ~ spl15_46
    | spl15_67 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s105,plain,
    ( ~ spl15_47
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s108,plain,
    ( ~ spl15_47
    | spl15_59 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s109,plain,
    ( ~ spl15_48
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s110,plain,
    ( ~ spl15_48
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s111,plain,
    ( ~ spl15_48
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s113,plain,
    ( ~ spl15_48
    | spl15_92 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s114,plain,
    ( ~ spl15_48
    | spl15_68 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s116,plain,
    ( ~ spl15_49
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s117,plain,
    ( ~ spl15_49
    | ~ spl15_54 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s118,plain,
    ( ~ spl15_49
    | ~ spl15_55 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s119,plain,
    ( ~ spl15_49
    | spl15_93 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s120,plain,
    ( ~ spl15_49
    | spl15_69 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s121,plain,
    ( ~ spl15_50
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s122,plain,
    ( ~ spl15_50
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s123,plain,
    ( ~ spl15_50
    | ~ spl15_54 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s124,plain,
    ( ~ spl15_50
    | ~ spl15_55 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s125,plain,
    ( ~ spl15_50
    | spl15_94 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s126,plain,
    ( ~ spl15_50
    | spl15_70 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s127,plain,
    ( ~ spl15_51
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s128,plain,
    ( ~ spl15_51
    | ~ spl15_53 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s130,plain,
    ( ~ spl15_51
    | ~ spl15_55 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s131,plain,
    ( ~ spl15_51
    | spl15_95 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s132,plain,
    ( ~ spl15_51
    | spl15_71 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s133,plain,
    ( spl15_62
    | spl15_76
    | spl15_77
    | spl15_78 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s135,plain,
    ( spl15_32
    | spl15_63
    | spl15_96
    | spl15_97 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s136,plain,
    ( spl15_32
    | spl15_83
    | spl15_98
    | spl15_99 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s137,plain,
    ( spl15_24
    | spl15_66
    | spl15_100
    | spl15_101 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s138,plain,
    ( spl15_24
    | spl15_90
    | spl15_102
    | spl15_103 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s139,plain,
    ( spl15_20
    | spl15_69
    | spl15_104
    | spl15_105 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s140,plain,
    ( spl15_20
    | spl15_93
    | spl15_106
    | spl15_107 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s141,plain,
    ( spl15_33
    | spl15_58
    | spl15_108
    | spl15_109 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s142,plain,
    ( spl15_33
    | spl15_76
    | spl15_110
    | spl15_111 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s143,plain,
    ( spl15_57
    | spl15_83
    | spl15_84
    | spl15_85 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s144,plain,
    ( spl15_57
    | spl15_63
    | spl15_64
    | spl15_65 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s145,plain,
    ( spl15_12
    | spl15_67
    | spl15_102
    | spl15_112 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s146,plain,
    ( spl15_12
    | spl15_91
    | spl15_100
    | spl15_113 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s147,plain,
    ( spl15_7
    | spl15_70
    | spl15_106
    | spl15_114 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s148,plain,
    ( spl15_7
    | spl15_94
    | spl15_104
    | spl15_115 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s149,plain,
    ( spl15_26
    | spl15_60
    | spl15_110
    | spl15_116 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s150,plain,
    ( spl15_26
    | spl15_77
    | spl15_108
    | spl15_117 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s151,plain,
    ( spl15_14
    | spl15_64
    | spl15_98
    | spl15_118 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s152,plain,
    ( spl15_14
    | spl15_84
    | spl15_96
    | spl15_119 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s153,plain,
    ( spl15_59
    | spl15_90
    | spl15_91
    | spl15_92 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s154,plain,
    ( spl15_59
    | spl15_66
    | spl15_67
    | spl15_68 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s155,plain,
    ( spl15_1
    | spl15_71
    | spl15_107
    | spl15_115 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s156,plain,
    ( spl15_1
    | spl15_95
    | spl15_105
    | spl15_114 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s157,plain,
    ( spl15_23
    | spl15_61
    | spl15_111
    | spl15_117 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s158,plain,
    ( spl15_23
    | spl15_78
    | spl15_109
    | spl15_116 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s159,plain,
    ( spl15_10
    | spl15_65
    | spl15_99
    | spl15_119 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s160,plain,
    ( spl15_10
    | spl15_85
    | spl15_97
    | spl15_118 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s161,plain,
    ( spl15_4
    | spl15_68
    | spl15_103
    | spl15_113 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s162,plain,
    ( spl15_4
    | spl15_92
    | spl15_101
    | spl15_112 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s163,plain,
    ( spl15_56
    | spl15_93
    | spl15_94
    | spl15_95 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s164,plain,
    ( spl15_56
    | spl15_69
    | spl15_70
    | spl15_71 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s165,plain,
    ( spl15_20
    | spl15_24
    | spl15_32
    | spl15_62 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s166,plain,
    ( spl15_58
    | spl15_83
    | spl15_102
    | spl15_106 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s167,plain,
    ( spl15_60
    | spl15_90
    | spl15_98
    | spl15_107 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s168,plain,
    ( spl15_61
    | spl15_93
    | spl15_99
    | spl15_103 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s169,plain,
    ( spl15_63
    | spl15_76
    | spl15_100
    | spl15_104 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s170,plain,
    ( spl15_7
    | spl15_12
    | spl15_33
    | spl15_57 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s171,plain,
    ( spl15_64
    | spl15_91
    | spl15_110
    | spl15_115 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s172,plain,
    ( spl15_65
    | spl15_94
    | spl15_111
    | spl15_113 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s173,plain,
    ( spl15_66
    | spl15_77
    | spl15_96
    | spl15_105 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s174,plain,
    ( spl15_67
    | spl15_84
    | spl15_108
    | spl15_114 ),
    inference(sat_conversion,[],[f972]) ).

cnf(s175,plain,
    ( spl15_1
    | spl15_14
    | spl15_26
    | spl15_59 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s176,plain,
    ( spl15_68
    | spl15_95
    | spl15_117
    | spl15_119 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s177,plain,
    ( spl15_69
    | spl15_78
    | spl15_97
    | spl15_101 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s178,plain,
    ( spl15_70
    | spl15_85
    | spl15_109
    | spl15_112 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s179,plain,
    ( spl15_71
    | spl15_92
    | spl15_116
    | spl15_118 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s180,plain,
    ( spl15_4
    | spl15_10
    | spl15_23
    | spl15_56 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s182,plain,
    ( ~ spl15_4
    | ~ spl15_10 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s184,plain,
    ( ~ spl15_7
    | ~ spl15_12 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s186,plain,
    ( ~ spl15_4
    | ~ spl15_23 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s188,plain,
    ( ~ spl15_20
    | ~ spl15_24 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s190,plain,
    ( ~ spl15_14
    | ~ spl15_26 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s192,plain,
    ( ~ spl15_20
    | ~ spl15_32 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s194,plain,
    ( ~ spl15_7
    | ~ spl15_33 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s196,plain,
    ( ~ spl15_7
    | ~ spl15_57 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s198,plain,
    ( ~ spl15_14
    | ~ spl15_59 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s200,plain,
    ( ~ spl15_20
    | ~ spl15_62 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s202,plain,
    ( ~ spl15_26
    | ~ spl15_59 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s204,plain,
    ( ~ spl15_63
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s206,plain,
    ( ~ spl15_66
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s208,plain,
    ( ~ spl15_69
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s210,plain,
    ( ~ spl15_58
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s212,plain,
    ( ~ spl15_67
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s214,plain,
    ( ~ spl15_70
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f1115]) ).

cnf(s216,plain,
    ( ~ spl15_60
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s218,plain,
    ( ~ spl15_64
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s220,plain,
    ( ~ spl15_71
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s222,plain,
    ( ~ spl15_10
    | ~ spl15_56 ),
    inference(sat_conversion,[],[f1144]) ).

cnf(s224,plain,
    ( ~ spl15_61
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s226,plain,
    ( ~ spl15_68
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1159]) ).

cnf(s230,plain,
    ( ~ spl15_93
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f1175]) ).

cnf(s232,plain,
    ( ~ spl15_90
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f1182]) ).

cnf(s234,plain,
    ( ~ spl15_65
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s236,plain,
    ( ~ spl15_78
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s238,plain,
    ( ~ spl15_63
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s240,plain,
    ( ~ spl15_66
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s242,plain,
    ( ~ spl15_98
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s244,plain,
    ( ~ spl15_91
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s246,plain,
    ( ~ spl15_65
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1243]) ).

cnf(s248,plain,
    ( ~ spl15_85
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1251]) ).

cnf(s252,plain,
    ( ~ spl15_77
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1275]) ).

cnf(s254,plain,
    ( ~ spl15_94
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1286]) ).

cnf(s256,plain,
    ( ~ spl15_63
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1298]) ).

cnf(s258,plain,
    ( ~ spl15_61
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s260,plain,
    ( ~ spl15_58
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f1314]) ).

cnf(s262,plain,
    ( ~ spl15_102
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s264,plain,
    ( ~ spl15_83
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1333]) ).

cnf(s266,plain,
    ( ~ spl15_58
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1339]) ).

cnf(s268,plain,
    ( ~ spl15_97
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1363]) ).

cnf(s270,plain,
    ( ~ spl15_99
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1377]) ).

cnf(s272,plain,
    ( ~ spl15_61
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s274,plain,
    ( ~ spl15_1
    | ~ spl15_26 ),
    inference(sat_conversion,[],[f1392]) ).

cnf(s278,plain,
    ( ~ spl15_96
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s280,plain,
    ( ~ spl15_69
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1426]) ).

cnf(s282,plain,
    ( ~ spl15_85
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1438]) ).

cnf(s284,plain,
    ( ~ spl15_67
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s285,plain,
    ( ~ spl15_12
    | ~ spl15_33 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s286,plain,
    ( ~ spl15_12
    | ~ spl15_33 ),
    inference(sat_conversion,[],[f1453]) ).

cnf(s288,plain,
    ( ~ spl15_12
    | ~ spl15_57 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s290,plain,
    ( ~ spl15_70
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1478]) ).

cnf(s292,plain,
    ( ~ spl15_109
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1496]) ).

cnf(s294,plain,
    ( ~ spl15_65
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s296,plain,
    ( ~ spl15_110
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s298,plain,
    ( ~ spl15_111
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s300,plain,
    ( ~ spl15_94
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s302,plain,
    ( ~ spl15_91
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s304,plain,
    ( ~ spl15_69
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s306,plain,
    ( ~ spl15_92
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s308,plain,
    ( ~ spl15_95
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1584]) ).

cnf(s310,plain,
    ( ~ spl15_92
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f1593]) ).

cnf(s312,plain,
    ( ~ spl15_95
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s313,plain,
    ( ~ spl15_106
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s315,plain,
    ( spl15_54
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s316,plain,
    ( ~ spl15_62
    | spl15_72 ),
    inference(sat_conversion,[],[f1675]) ).

cnf(s317,plain,
    ( ~ spl15_57
    | spl15_80 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s319,plain,
    ( ~ spl15_67
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s320,plain,
    ( ~ spl15_68
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1686]) ).

cnf(s321,plain,
    ( ~ spl15_61
    | ~ spl15_62 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s322,plain,
    ( ~ spl15_24
    | spl15_31
    | ~ spl15_62 ),
    inference(sat_conversion,[],[f1688]) ).

cnf(s325,plain,
    ( ~ spl15_1
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1699]) ).

cnf(s327,plain,
    ( ~ spl15_23
    | spl15_29
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s329,plain,
    ( ~ spl15_10
    | ~ spl15_23 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s330,plain,
    ( ~ spl15_70
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1713]) ).

cnf(s336,plain,
    ( ~ spl15_20
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f1730]) ).

cnf(s337,plain,
    ( ~ spl15_20
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1731]) ).

cnf(s338,plain,
    ( ~ spl15_20
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1732]) ).

cnf(s340,plain,
    ( ~ spl15_61
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s341,plain,
    ( ~ spl15_61
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s343,plain,
    ( ~ spl15_77
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s344,plain,
    ( ~ spl15_77
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1760]) ).

cnf(s345,plain,
    ( ~ spl15_77
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s346,plain,
    ( ~ spl15_96
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1762]) ).

cnf(s347,plain,
    ( ~ spl15_96
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f1763]) ).

cnf(s349,plain,
    ( ~ spl15_66
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s350,plain,
    ( ~ spl15_23
    | ~ spl15_61 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s353,plain,
    ( ~ spl15_78
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s354,plain,
    ( ~ spl15_94
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s358,plain,
    ( ~ spl15_102
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s359,plain,
    ( ~ spl15_102
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s360,plain,
    ( ~ spl15_108
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s361,plain,
    ( ~ spl15_108
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1811]) ).

cnf(s362,plain,
    ( ~ spl15_110
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s365,plain,
    ( spl15_82
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1845]) ).

cnf(s369,plain,
    ( ~ spl15_1
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s370,plain,
    ( ~ spl15_64
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s371,plain,
    ( ~ spl15_26
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s372,plain,
    ( ~ spl15_12
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s373,plain,
    ( ~ spl15_1
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s374,plain,
    ( ~ spl15_1
    | spl15_3
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1858]) ).

cnf(s376,plain,
    ( ~ spl15_57
    | ~ spl15_64 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s377,plain,
    ( ~ spl15_57
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f1861]) ).

cnf(s379,plain,
    ( ~ spl15_20
    | ~ spl15_61
    | spl15_75 ),
    inference(sat_conversion,[],[f1862]) ).

cnf(s382,plain,
    ( ~ spl15_78
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1863]) ).

cnf(s394,plain,
    ( ~ spl15_26
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f1869]) ).

cnf(s397,plain,
    ( ~ spl15_84
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f1870]) ).

cnf(s402,plain,
    ( ~ spl15_109
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1871]) ).

cnf(s403,plain,
    ( ~ spl15_71
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s404,plain,
    ( ~ spl15_94
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s408,plain,
    ( ~ spl15_26
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s409,plain,
    ( ~ spl15_110
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s411,plain,
    ( ~ spl15_20
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s413,plain,
    ( ~ spl15_12
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s414,plain,
    ( ~ spl15_91
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s415,plain,
    ( ~ spl15_100
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s417,plain,
    ( ~ spl15_100
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s418,plain,
    ( ~ spl15_73
    | spl15_98
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f1884]) ).

cnf(s420,plain,
    ( spl15_81
    | ~ spl15_100
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1886]) ).

cnf(s422,plain,
    ( ~ spl15_7
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s423,plain,
    ( ~ spl15_7
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f1896]) ).

cnf(s424,plain,
    ( ~ spl15_7
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s425,plain,
    ( ~ spl15_7
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1898]) ).

cnf(s426,plain,
    ( ~ spl15_67
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s427,plain,
    ( ~ spl15_59
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s429,plain,
    ( ~ spl15_67
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f1901]) ).

cnf(s435,plain,
    ( ~ spl15_59
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1921]) ).

cnf(s436,plain,
    ( ~ spl15_59
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f1922]) ).

cnf(s437,plain,
    ( ~ spl15_60
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s438,plain,
    ( ~ spl15_60
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s441,plain,
    ( ~ spl15_76
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f1946]) ).

cnf(s442,plain,
    ( ~ spl15_76
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f1947]) ).

cnf(s443,plain,
    ( ~ spl15_76
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1948]) ).

cnf(s444,plain,
    ( ~ spl15_83
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f1955]) ).

cnf(s445,plain,
    ( ~ spl15_83
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f1956]) ).

cnf(s446,plain,
    ( ~ spl15_83
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f1957]) ).

cnf(s447,plain,
    ( ~ spl15_90
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s448,plain,
    ( ~ spl15_59
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s449,plain,
    ( ~ spl15_90
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s456,plain,
    ( ~ spl15_98
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s462,plain,
    ( ~ spl15_7
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1970]) ).

cnf(s497,plain,
    ( spl15_52
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s503,plain,
    ( ~ spl15_59
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s507,plain,
    ( ~ spl15_57
    | ~ spl15_65 ),
    inference(sat_conversion,[],[f2082]) ).

cnf(s508,plain,
    ( ~ spl15_57
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s531,plain,
    ( ~ spl15_20
    | ~ spl15_61
    | spl15_72 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s532,plain,
    ( ~ spl15_77
    | spl15_86 ),
    inference(sat_conversion,[],[f2165]) ).

cnf(s538,plain,
    ( ~ spl15_57
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f2166]) ).

cnf(s539,plain,
    ( ~ spl15_59
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f2167]) ).

cnf(s543,plain,
    ( ~ spl15_60
    | ~ spl15_61 ),
    inference(sat_conversion,[],[f2200]) ).

cnf(s545,plain,
    ( ~ spl15_26
    | ~ spl15_60 ),
    inference(sat_conversion,[],[f2201]) ).

cnf(s548,plain,
    ( ~ spl15_4
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f2202]) ).

cnf(s554,plain,
    ( ~ spl15_12
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f2203]) ).

cnf(s555,plain,
    ( spl15_4
    | ~ spl15_54
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f2204]) ).

cnf(s556,plain,
    ( ~ spl15_10
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f2205]) ).

cnf(s557,plain,
    ( ~ spl15_24
    | spl15_60
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f2221]) ).

cnf(s560,plain,
    ( ~ spl15_24
    | ~ spl15_66 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s561,plain,
    ( ~ spl15_24
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2225]) ).

cnf(s562,plain,
    ( ~ spl15_24
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s563,plain,
    ( ~ spl15_24
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f2227]) ).

cnf(s564,plain,
    ( ~ spl15_24
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2228]) ).

cnf(s566,plain,
    ( spl15_31
    | ~ spl15_32
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s568,plain,
    ( ~ spl15_32
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f2246]) ).

cnf(s569,plain,
    ( ~ spl15_32
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f2247]) ).

cnf(s570,plain,
    ( ~ spl15_32
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f2248]) ).

cnf(s572,plain,
    ( ~ spl15_24
    | ~ spl15_32 ),
    inference(sat_conversion,[],[f2251]) ).

cnf(s573,plain,
    ( ~ spl15_85
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f2252]) ).

cnf(s579,plain,
    ( ~ spl15_64
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f2254]) ).

cnf(s581,plain,
    ( ~ spl15_97
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f2255]) ).

cnf(s586,plain,
    ( ~ spl15_84
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f2280]) ).

cnf(s587,plain,
    ( ~ spl15_84
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2281]) ).

cnf(s589,plain,
    ( ~ spl15_99
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2298]) ).

cnf(s590,plain,
    ( ~ spl15_104
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f2308]) ).

cnf(s595,plain,
    ( ~ spl15_60
    | ~ spl15_62 ),
    inference(sat_conversion,[],[f2346]) ).

cnf(s597,plain,
    ( ~ spl15_69
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f2349]) ).

cnf(s606,plain,
    ( ~ spl15_95
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2353]) ).

cnf(s611,plain,
    ( ~ spl15_1
    | spl15_17
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f2354]) ).

cnf(s616,plain,
    ( ~ spl15_4
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f2355]) ).

cnf(s622,plain,
    ( ~ spl15_4
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f2356]) ).

cnf(s633,plain,
    ( ~ spl15_95
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2357]) ).

cnf(s635,plain,
    ( ~ spl15_60
    | ~ spl15_62 ),
    inference(sat_conversion,[],[f2359]) ).

cnf(s636,plain,
    ( ~ spl15_14
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s639,plain,
    ( ~ spl15_10
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f2361]) ).

cnf(s640,plain,
    ( ~ spl15_1
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2362]) ).

cnf(s644,plain,
    ( ~ spl15_32
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f2363]) ).

cnf(s645,plain,
    ( ~ spl15_32
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f2364]) ).

cnf(s656,plain,
    ( ~ spl15_14
    | ~ spl15_64 ),
    inference(sat_conversion,[],[f2367]) ).

cnf(s663,plain,
    ( ~ spl15_14
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f2368]) ).

cnf(s666,plain,
    ( ~ spl15_104
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f2369]) ).

cnf(s667,plain,
    ( ~ spl15_94
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s668,plain,
    ( ~ spl15_69
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f2371]) ).

cnf(s670,plain,
    ( spl15_73
    | ~ spl15_99
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f2372]) ).

cnf(s671,plain,
    ( ~ spl15_106
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2373]) ).

cnf(s674,plain,
    ( ~ spl15_111
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f2374]) ).

cnf(s691,plain,
    ( ~ spl15_84
    | spl15_87 ),
    inference(sat_conversion,[],[f2485]) ).

cnf(s692,plain,
    ( ~ spl15_59
    | spl15_88 ),
    inference(sat_conversion,[],[f2489]) ).

cnf(s693,plain,
    ( spl15_89
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f2493]) ).

cnf(s704,plain,
    ( ~ spl15_10
    | spl15_53
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f2508]) ).

cnf(s721,plain,
    ( ~ spl15_24
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s732,plain,
    ( ~ spl15_76
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s737,plain,
    ( ~ spl15_91
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f2514]) ).

cnf(s742,plain,
    ( ~ spl15_10
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f2516]) ).

cnf(s751,plain,
    ( ~ spl15_23
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s754,plain,
    ( ~ spl15_4
    | spl15_5
    | ~ spl15_14 ),
    inference(sat_conversion,[],[f2520]) ).

cnf(s755,plain,
    ( spl15_3
    | ~ spl15_14
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f2528]) ).

cnf(s756,plain,
    ( ~ spl15_14
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f2529]) ).

cnf(s773,plain,
    ( ~ spl15_12
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s776,plain,
    ( ~ spl15_26
    | spl15_35
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2629]) ).

cnf(s777,plain,
    ( ~ spl15_26
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s784,plain,
    ( ~ spl15_4
    | spl15_55
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f2632]) ).

cnf(s787,plain,
    ( ~ spl15_62
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f2633]) ).

cnf(s788,plain,
    ( ~ spl15_66
    | ~ spl15_67 ),
    inference(sat_conversion,[],[f2634]) ).

cnf(s790,plain,
    ( ~ spl15_83
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f2635]) ).

cnf(s799,plain,
    ( ~ spl15_4
    | spl15_6
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f2638]) ).

cnf(s806,plain,
    ( ~ spl15_63
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f2672]) ).

cnf(s811,plain,
    ( ~ spl15_93
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f2703]) ).

cnf(s817,plain,
    ( ~ spl15_90
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2752]) ).

cnf(s820,plain,
    ( spl15_20
    | ~ spl15_36
    | ~ spl15_62 ),
    inference(sat_conversion,[],[f2758]) ).

cnf(s827,plain,
    ( ~ spl15_10
    | spl15_11
    | ~ spl15_12 ),
    inference(sat_conversion,[],[f2799]) ).

cnf(s856,plain,
    ( ~ spl15_93
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f2808]) ).

cnf(s857,plain,
    ( ~ spl15_4
    | ~ spl15_55
    | spl15_71 ),
    inference(sat_conversion,[],[f2809]) ).

cnf(s859,plain,
    ( ~ spl15_4
    | spl15_18
    | ~ spl15_26 ),
    inference(sat_conversion,[],[f2810]) ).

cnf(s918,plain,
    ( ~ spl15_87
    | ~ spl15_114
    | spl15_119 ),
    inference(sat_conversion,[],[f2812]) ).

cnf(s919,plain,
    ( ~ spl15_10
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2813]) ).

cnf(s922,plain,
    ( spl15_82
    | ~ spl15_104
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f2815]) ).

cnf(s930,plain,
    ( ~ spl15_16
    | spl15_26
    | ~ spl15_59 ),
    inference(sat_conversion,[],[f2851]) ).

cnf(s932,plain,
    ( ~ spl15_12
    | ~ spl15_64
    | spl15_81 ),
    inference(sat_conversion,[],[f2865]) ).

cnf(s938,plain,
    ( ~ spl15_52
    | ~ spl15_97
    | spl15_109 ),
    inference(sat_conversion,[],[f2892]) ).

cnf(s943,plain,
    ( ~ spl15_24
    | ~ spl15_60
    | spl15_72 ),
    inference(sat_conversion,[],[f2938]) ).

cnf(s947,plain,
    ( spl15_6
    | ~ spl15_10
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f2939]) ).

cnf(s950,plain,
    ( ~ spl15_14
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2941]) ).

cnf(s961,plain,
    ( ~ spl15_70
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f2943]) ).

cnf(s974,plain,
    ( ~ spl15_105
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2945]) ).

cnf(s975,plain,
    ( ~ spl15_1
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f2946]) ).

cnf(s976,plain,
    ( ~ spl15_93
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2947]) ).

cnf(s977,plain,
    ( ~ spl15_1
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2948]) ).

cnf(s978,plain,
    ( ~ spl15_71
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2949]) ).

cnf(s993,plain,
    ( ~ spl15_62
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f2951]) ).

cnf(s998,plain,
    ( ~ spl15_57
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f2952]) ).

cnf(s999,plain,
    ( ~ spl15_63
    | ~ spl15_64 ),
    inference(sat_conversion,[],[f2953]) ).

cnf(s1001,plain,
    ( ~ spl15_59
    | ~ spl15_66 ),
    inference(sat_conversion,[],[f2954]) ).

cnf(s1002,plain,
    ( ~ spl15_66
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f2955]) ).

cnf(s1006,plain,
    ( ~ spl15_69
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f2958]) ).

cnf(s1014,plain,
    ( spl15_89
    | ~ spl15_114
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2959]) ).

cnf(s1020,plain,
    ( ~ spl15_10
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f2960]) ).

cnf(s1024,plain,
    ( ~ spl15_1
    | spl15_68
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f2968]) ).

cnf(s1026,plain,
    ( ~ spl15_1
    | spl15_2
    | ~ spl15_10 ),
    inference(sat_conversion,[],[f2969]) ).

cnf(s1031,plain,
    ( ~ spl15_23
    | ~ spl15_55
    | spl15_69 ),
    inference(sat_conversion,[],[f2984]) ).

cnf(s1045,plain,
    ( ~ spl15_1
    | ~ spl15_3
    | spl15_116 ),
    inference(sat_conversion,[],[f3078]) ).

cnf(s1046,plain,
    ( spl15_24
    | ~ spl15_31
    | ~ spl15_62 ),
    inference(sat_conversion,[],[f3087]) ).

cnf(s1054,plain,
    ( ~ spl15_103
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f3104]) ).

cnf(s1058,plain,
    ( ~ spl15_23
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f3105]) ).

cnf(s1071,plain,
    ( spl15_81
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f3134]) ).

cnf(s1075,plain,
    ( ~ spl15_4
    | spl15_19
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f3135]) ).

cnf(s1077,plain,
    ( ~ spl15_20
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f3136]) ).

cnf(s1078,plain,
    ( ~ spl15_20
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f3137]) ).

cnf(s1158,plain,
    ( ~ spl15_4
    | ~ spl15_7
    | spl15_8 ),
    inference(sat_conversion,[],[f3140]) ).

cnf(s1177,plain,
    ( ~ spl15_7
    | spl15_9
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f3246]) ).

cnf(s1198,plain,
    ( ~ spl15_4
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f3249]) ).

cnf(s1202,plain,
    ( ~ spl15_87
    | spl15_96
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f3250]) ).

cnf(s1203,plain,
    ( ~ spl15_4
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f3251]) ).

cnf(s1204,plain,
    ( ~ spl15_76
    | spl15_79 ),
    inference(sat_conversion,[],[f3266]) ).

cnf(s1209,plain,
    ( spl15_53
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f3309]) ).

cnf(s1211,plain,
    ( ~ spl15_14
    | spl15_35
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f3310]) ).

cnf(s1213,plain,
    ( ~ spl15_7
    | ~ spl15_14
    | spl15_15 ),
    inference(sat_conversion,[],[f3312]) ).

cnf(s1235,plain,
    ( ~ spl15_95
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f3314]) ).

cnf(s1238,plain,
    ( ~ spl15_23
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f3315]) ).

cnf(s1258,plain,
    ( ~ spl15_66
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f3317]) ).

cnf(s1289,plain,
    ( ~ spl15_58
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f3354]) ).

cnf(s1290,plain,
    ( ~ spl15_58
    | ~ spl15_60 ),
    inference(sat_conversion,[],[f3355]) ).

cnf(s1296,plain,
    ( ~ spl15_26
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f3356]) ).

cnf(s1317,plain,
    ( ~ spl15_101
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f3360]) ).

cnf(s1327,plain,
    ( spl15_74
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f3434]) ).

cnf(s1328,plain,
    ( spl15_15
    | ~ spl15_20
    | ~ spl15_26 ),
    inference(sat_conversion,[],[f3435]) ).

cnf(s1330,plain,
    ( spl15_19
    | ~ spl15_23
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f3437]) ).

cnf(s1345,plain,
    ( ~ spl15_98
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f3438]) ).

cnf(s1350,plain,
    ( spl15_11
    | ~ spl15_23
    | ~ spl15_24 ),
    inference(sat_conversion,[],[f3439]) ).

cnf(s1351,plain,
    ( ~ spl15_24
    | ~ spl15_31
    | spl15_66 ),
    inference(sat_conversion,[],[f3453]) ).

cnf(s1359,plain,
    ( spl15_75
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f3501]) ).

cnf(s1360,plain,
    ( spl15_2
    | ~ spl15_26
    | ~ spl15_32 ),
    inference(sat_conversion,[],[f3502]) ).

cnf(s1361,plain,
    ( spl15_5
    | ~ spl15_23
    | ~ spl15_32 ),
    inference(sat_conversion,[],[f3503]) ).

cnf(s1362,plain,
    ( spl15_17
    | ~ spl15_26
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f3504]) ).

cnf(s1370,plain,
    ( ~ spl15_91
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f3505]) ).

cnf(s1375,plain,
    ( ~ spl15_92
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f3506]) ).

cnf(s1381,plain,
    ( ~ spl15_107
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f3507]) ).

cnf(s1382,plain,
    ( ~ spl15_32
    | ~ spl15_58
    | spl15_73 ),
    inference(sat_conversion,[],[f3508]) ).

cnf(s1403,plain,
    ( spl15_54
    | ~ spl15_101
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f3579]) ).

cnf(s1404,plain,
    ( spl15_86
    | ~ spl15_105
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f3591]) ).

cnf(s1458,plain,
    ( ~ spl15_33
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f3592]) ).

cnf(s1493,plain,
    ( ~ spl15_23
    | spl15_55
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f3593]) ).

cnf(s1557,plain,
    ( ~ spl15_4
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f3598]) ).

cnf(s1559,plain,
    ( ~ spl15_70
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f3599]) ).

cnf(s1576,plain,
    ( spl15_13
    | ~ spl15_20
    | ~ spl15_33 ),
    inference(sat_conversion,[],[f3623]) ).

cnf(s1577,plain,
    ( ~ spl15_33
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f3624]) ).

cnf(s1584,plain,
    ( spl15_73
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f3711]) ).

cnf(s1599,plain,
    ( ~ spl15_33
    | ~ spl15_63
    | spl15_79 ),
    inference(sat_conversion,[],[f3715]) ).

cnf(s1603,plain,
    ( spl15_82
    | ~ spl15_113
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f3716]) ).

cnf(s1612,plain,
    ( spl15_81
    | ~ spl15_113
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f3717]) ).

cnf(s1622,plain,
    ( ~ spl15_14
    | spl15_16
    | ~ spl15_33 ),
    inference(sat_conversion,[],[f3723]) ).

cnf(s1646,plain,
    ( spl15_87
    | ~ spl15_114
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f3725]) ).

cnf(s1647,plain,
    ( ~ spl15_90
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f3726]) ).

cnf(s1655,plain,
    ( ~ spl15_23
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f3727]) ).

cnf(s1663,plain,
    ( ~ spl15_1
    | spl15_16
    | ~ spl15_23 ),
    inference(sat_conversion,[],[f3729]) ).

cnf(s1718,plain,
    ( ~ spl15_93
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f3730]) ).

cnf(s1762,plain,
    ( spl15_55
    | ~ spl15_56 ),
    inference(sat_conversion,[],[f3839]) ).

cnf(s1803,plain,
    ( ~ spl15_1
    | ~ spl15_68
    | spl15_88 ),
    inference(sat_conversion,[],[f3845]) ).

cnf(s1817,plain,
    ( spl15_9
    | ~ spl15_12
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f3911]) ).

cnf(s1827,plain,
    ( ~ spl15_32
    | spl15_36
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f3913]) ).

cnf(s1851,plain,
    ( ~ spl15_92
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f3919]) ).

cnf(s1853,plain,
    ( ~ spl15_68
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f3920]) ).

cnf(s1873,plain,
    ( ~ spl15_1
    | ~ spl15_12
    | spl15_13 ),
    inference(sat_conversion,[],[f3922]) ).

cnf(s1906,plain,
    ( ~ spl15_65
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f3923]) ).

cnf(s1914,plain,
    ( ~ spl15_56
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f3933]) ).

cnf(s1919,plain,
    ( ~ spl15_56
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f3935]) ).

cnf(s1924,plain,
    ( ~ spl15_56
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f3945]) ).

cnf(s1940,plain,
    ( ~ spl15_26
    | ~ spl15_66
    | spl15_88 ),
    inference(sat_conversion,[],[f3948]) ).

cnf(s1941,plain,
    ( ~ spl15_33
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f3949]) ).

cnf(s1942,plain,
    ( ~ spl15_33
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f3950]) ).

cnf(s1943,plain,
    ( spl15_28
    | ~ spl15_33
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f3951]) ).

cnf(s1959,plain,
    ( ~ spl15_56
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f3953]) ).

cnf(s1963,plain,
    ( ~ spl15_56
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f3957]) ).

cnf(s1979,plain,
    ( ~ spl15_56
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f3963]) ).

cnf(s2024,plain,
    ~ spl15_42,
    inference(rat,[],[s317,s74,s78]) ).

cnf(s2026,plain,
    ( ~ spl15_43
    | spl15_70
    | spl15_60
    | spl15_90
    | spl15_7 ),
    inference(rat,[],[s147,s671,s918,s167,s587,s691,s370,s83,s84]) ).

cnf(s2028,plain,
    ( ~ spl15_44
    | spl15_96
    | spl15_14 ),
    inference(rat,[],[s152,s586,s1906,s89,s90]) ).

cnf(s2029,plain,
    ( ~ spl15_43
    | spl15_97
    | spl15_10 ),
    inference(rat,[],[s160,s586,s579,s83,s84]) ).

cnf(s2030,plain,
    ( ~ spl15_40
    | ~ spl15_59
    | spl15_24
    | spl15_4 ),
    inference(rat,[],[s415,s137,s161,s236,s258,s65,s66,s1001,s436]) ).

cnf(s2032,plain,
    ( ~ spl15_38
    | ~ spl15_32 ),
    inference(rat,[],[s1382,s50,s54]) ).

cnf(s2033,plain,
    ~ spl15_37,
    inference(rat,[],[s316,s43,s48]) ).

cnf(s2034,plain,
    ( spl15_51
    | spl15_50
    | spl15_44
    | spl15_43
    | spl15_40
    | spl15_38
    | spl15_39
    | spl15_41
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49 ),
    inference(rat,[],[s1762,s30,s28,s2033,s2024]) ).

cnf(s2035,plain,
    ( ~ spl15_51
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s448,s138,s42,s1350,s10,s1330,s270,s159,s554,s36,s178,s262,s411,s751,s147,s148,s180,s1209,s312,s354,s633,s403,s961,s1914,s128,s131,s132]) ).

cnf(s2036,plain,
    ( ~ spl15_50
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s538,s136,s41,s1361,s16,s327,s589,s161,s176,s39,s1238,s242,s337,s180,s155,s156,s1762,s300,s354,s404,s961,s1559,s124,s125,s126]) ).

cnf(s2037,plain,
    ( ~ spl15_49
    | spl15_10
    | spl15_4 ),
    inference(rat,[],[s180,s1493,s1963,s118,s120]) ).

cnf(s2038,plain,
    ( ~ spl15_48
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s1959,s139,s39,s666,s1576,s171,s18,s35,s1943,s564,s286,s166,s141,s31,s282,s444,s508,s160,s347,s645,s152,s313,s974,s1646,s174,s371,s408,s175,s691,s310,s1370,s319,s436,s110,s113,s114]) ).

cnf(s2039,plain,
    ~ spl15_47,
    inference(rat,[],[s692,s105,s108]) ).

cnf(s2040,plain,
    ( ~ spl15_46
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s538,s136,s41,s1360,s22,s147,s776,s242,s671,s155,s1014,s42,s176,s270,s721,s777,s161,s162,s175,s693,s302,s737,s1370,s319,s426,s427,s773,s100,s101,s102]) ).

cnf(s2041,plain,
    ( ~ spl15_45
    | spl15_14
    | spl15_1 ),
    inference(rat,[],[s175,s1001,s1940,s93,s96]) ).

cnf(s2042,plain,
    ( ~ spl15_106
    | spl15_105
    | ~ spl15_65
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s1919,s156,s36,s313,s338]) ).

cnf(s2043,plain,
    ( ~ spl15_44
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s140,s1979,s1381,s39,s171,s1576,s35,s18,s436,s1943,s420,s161,s170,s146,s359,s372,s564,s166,s2042,s31,s278,s645,s1071,s444,s294,s507,s2028,s87,s89,s90]) ).

cnf(s2044,plain,
    ( spl15_71
    | spl15_92
    | spl15_107
    | spl15_103
    | spl15_118
    | spl15_81
    | spl15_14
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s436,s161,s175,s1612,s1296,s155,s179]) ).

cnf(s2045,plain,
    ( ~ spl15_43
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s448,s35,s138,s1350,s10,s1330,s180,s1914,s2044,s1851,s262,s671,s178,s147,s270,s1577,s41,s918,s136,s170,s568,s445,s586,s587,s691,s370,s376,s579,s932,s2029,s81,s83,s84]) ).

cnf(s2046,plain,
    ( ~ spl15_41
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_4 ),
    inference(rat,[],[s394,s34,s173,s200,s346,s139,s159,s280,s1258,s246,s751,s162,s142,s178,s974,s310,s296,s554,s147,s151,s148,s41,s170,s365,s264,s444,s446,s790,s204,s238,s644,s998,s999,s1599,s67,s70,s71,s72]) ).

cnf(s2047,plain,
    ( spl15_32
    | spl15_97
    | spl15_71
    | spl15_83
    | spl15_76
    | spl15_99
    | spl15_62
    | spl15_111
    | spl15_20
    | spl15_14
    | spl15_10
    | spl15_1 ),
    inference(rat,[],[s285,s142,s145,s38,s296,s248,s508,s155,s160,s242,s456,s564,s136,s165]) ).

cnf(s2048,plain,
    ( ~ spl15_40
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s22,s1360,s776,s175,s167,s2030,s570,s572,s2047,s938,s1914,s1584,s1327,s353,s441,s497,s33,s272,s321,s341,s531,s543,s61,s62,s63,s65,s66]) ).

cnf(s2049,plain,
    ( spl15_95
    | spl15_68
    | spl15_83
    | spl15_93
    | spl15_105
    | spl15_117
    | spl15_61
    | spl15_58
    | spl15_1 ),
    inference(rat,[],[s359,s168,s166,s589,s313,s176,s156]) ).

cnf(s2050,plain,
    ( spl15_32
    | spl15_57
    | spl15_114
    | spl15_24
    | spl15_62
    | spl15_14
    | spl15_10
    | spl15_7 ),
    inference(rat,[],[s147,s338,s41,s165]) ).

cnf(s2051,plain,
    ( ~ spl15_39
    | spl15_14
    | spl15_10
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s36,s159,s192,s569,s2050,s377,s174,s312,s633,s1924,s2049,s427,s436,s175,s943,s1584,s1359,s252,s344,s345,s543,s545,s635,s1290,s55,s56,s58,s59,s60]) ).

cnf(s2052,plain,
    ( ~ spl15_20
    | ~ spl15_26
    | ~ spl15_38 ),
    inference(rat,[],[s1362,s12,s167,s1328,s1077,s1290,s54,s1327,s51]) ).

cnf(s2053,plain,
    ( ~ spl15_23
    | ~ spl15_38 ),
    inference(rat,[],[s1330,s10,s168,s1350,s562,s165,s2052,s149,s350,s1655,s2032,s1290,s54,s787,s443,s53,s1359,s52]) ).

cnf(s2054,plain,
    ( ~ spl15_20
    | spl15_71
    | spl15_65
    | spl15_90
    | spl15_111
    | spl15_102
    | spl15_1 ),
    inference(rat,[],[s172,s1054,s404,s138,s155,s188,s1077]) ).

cnf(s2055,plain,
    ( spl15_14
    | spl15_10
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s581,s151,s177,s242,s721,s140,s165,s2054,s1914,s1963,s180,s2053,s376,s507,s1327,s1359,s441,s732,s787,s31,s260,s266,s2032,s51,s52,s53,s54,s2034,s2051,s2048,s2046,s2045,s2043,s2041,s2040,s2038,s2036,s2035,s2037,s2039]) ).

cnf(s2056,plain,
    ( ~ spl15_39
    | ~ spl15_14
    | spl15_4 ),
    inference(rat,[],[s313,s166,s174,s372,s773,s32,s943,s1584,s345,s1290,s55,s56,s59,s60,s663,s198]) ).

cnf(s2058,plain,
    ( ~ spl15_48
    | spl15_105
    | spl15_96 ),
    inference(rat,[],[s173,s532,s1002,s109,s114]) ).

cnf(s2059,plain,
    ( ~ spl15_46
    | spl15_105
    | spl15_96 ),
    inference(rat,[],[s173,s532,s788,s97,s102]) ).

cnf(s2060,plain,
    ( ~ spl15_45
    | spl15_117
    | spl15_119 ),
    inference(rat,[],[s176,s693,s1002,s94,s96]) ).

cnf(s2061,plain,
    ( ~ spl15_50
    | spl15_116
    | spl15_118 ),
    inference(rat,[],[s179,s315,s961,s123,s126]) ).

cnf(s2062,plain,
    ( ~ spl15_48
    | spl15_56
    | spl15_96
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s337,s39,s2058,s114]) ).

cnf(s2063,plain,
    ( ~ spl15_46
    | spl15_117
    | spl15_119 ),
    inference(rat,[],[s176,s693,s319,s100,s102]) ).

cnf(s2064,plain,
    ( ~ spl15_41
    | spl15_118
    | spl15_10 ),
    inference(rat,[],[s160,s444,s806,s71,s72]) ).

cnf(s2065,plain,
    ( ~ spl15_50
    | spl15_118
    | spl15_10
    | spl15_4 ),
    inference(rat,[],[s180,s1655,s1762,s2061,s124]) ).

cnf(s2066,plain,
    ( ~ spl15_48
    | spl15_26
    | spl15_96
    | spl15_84
    | spl15_118
    | spl15_10
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s170,s508,s413,s160,s169,s938,s34,s441,s497,s993,s158,s360,s1942,s1031,s174,s1762,s1963,s590,s974,s306,s319,s2062,s2058,s113,s114]) ).

cnf(s2067,plain,
    ( ~ spl15_46
    | ~ spl15_14 ),
    inference(rat,[],[s1404,s2063,s2059,s97,s950,s636]) ).

cnf(s2068,plain,
    ( ~ spl15_45
    | spl15_26
    | spl15_118
    | spl15_119
    | spl15_10
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s1458,s37,s169,s200,s411,s806,s140,s160,s1979,s313,s248,s180,s156,s162,s1238,s693,s447,s817,s240,s349,s1258,s2060,s94,s95,s96]) ).

cnf(s2069,plain,
    ( spl15_56
    | ~ spl15_44
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s606,s147,s163,s338,s1078,s36,s234,s90,s214,s89]) ).

cnf(s2070,plain,
    ( ~ spl15_20
    | spl15_23
    | spl15_97
    | spl15_79
    | ~ spl15_14 ),
    inference(rat,[],[s1599,s34,s135,s192,s200,s636,s190]) ).

cnf(s2071,plain,
    ( spl15_105
    | ~ spl15_44
    | ~ spl15_14
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s37,s820,s137,s1375,s1827,s572,s420,s1941,s153,s135,s171,s817,s238,s666,s140,s139,s2042,s656,s636,s198,s190,s90,s1071,s87,s1979,s2070,s1031,s1762,s1963,s2069,s573,s89,s85]) ).

cnf(s2072,plain,
    ( ~ spl15_44
    | ~ spl15_14
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s1622,s20,s142,s1211,s296,s148,s590,s2071,s1204,s234,s246,s85,s90]) ).

cnf(s2073,plain,
    ( ~ spl15_40
    | spl15_26
    | spl15_96
    | spl15_119
    | spl15_10
    | spl15_7 ),
    inference(rat,[],[s590,s173,s148,s37,s296,s234,s1942,s149,s159,s150,s343,s382,s272,s321,s340,s350,s543,s65,s66]) ).

cnf(s2074,plain,
    ( spl15_10
    | spl15_7
    | spl15_1
    | spl15_4 ),
    inference(rat,[],[s426,s174,s162,s974,s268,s306,s173,s135,s149,s37,s204,s442,s443,s787,s1458,s1289,s1290,s2053,s2032,s53,s54,s2034,s2073,s2072,s2068,s2067,s2066,s2065,s2064,s2056,s83,s190,s636,s663,s756,s950,s2055,s2037,s2035,s2039]) ).

cnf(s2075,plain,
    ( ~ spl15_39
    | spl15_14
    | ~ spl15_10
    | spl15_1 ),
    inference(rat,[],[s827,s4,s145,s292,s947,s359,s427,s158,s157,s168,s175,s1359,s343,s344,s437,s543,s545,s58,s59,s60,s639,s329]) ).

cnf(s2076,plain,
    ( ~ spl15_51
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s503,s42,s146,s827,s4,s947,s1054,s157,s168,s33,s411,s417,s721,s148,s177,s497,s308,s354,s856,s403,s597,s127,s131,s132,s742,s639,s329,s222,s2074]) ).

cnf(s2077,plain,
    ( ~ spl15_50
    | ~ spl15_10 ),
    inference(rat,[],[s704,s122,s126]) ).

cnf(s2078,plain,
    ( ~ spl15_49
    | spl15_14
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s1458,s40,s133,s316,s557,s138,s1054,s539,s172,s175,s344,s674,s437,s1296,s358,s176,s179,s162,s39,s36,s315,s811,s856,s208,s280,s336,s597,s117,s119,s120,s1020,s919,s329,s222,s2074]) ).

cnf(s2079,plain,
    ( ~ spl15_48
    | spl15_56
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s164,s1559,s336,s156,s278,s220,s39,s226,s2062,s113,s114]) ).

cnf(s2080,plain,
    ( ~ spl15_46
    | spl15_14
    | spl15_119
    | spl15_1 ),
    inference(rat,[],[s175,s777,s427,s2063,s102]) ).

cnf(s2081,plain,
    ( ~ spl15_41
    | spl15_14
    | spl15_118 ),
    inference(rat,[],[s151,s446,s999,s71,s72]) ).

cnf(s2082,plain,
    ( spl15_105
    | spl15_90
    | spl15_66
    | spl15_61
    | spl15_20
    | spl15_114
    | ~ spl15_43
    | spl15_23
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s1006,s2026,s139,s437,s922,s158,s157,s343,s308,s173,s156,s82,s397,s83,s1577,s170,s376,s932,s81,s84]) ).

cnf(s2083,plain,
    ( ~ spl15_43
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s172,s1603,s674,s148,s176,s590,s1235,s2082,s539,s1001,s33,s39,s36,s35,s192,s572,s136,s918,s932,s365,s445,s691,s370,s81,s82,s83,s84,s919,s639,s329,s222,s2074]) ).

cnf(s2084,plain,
    ( ~ spl15_40
    | spl15_56
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s379,s33,s64,s66]) ).

cnf(s2085,plain,
    ( ~ spl15_38
    | ~ spl15_10
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s1403,s555,s149,s177,s2054,s2052,s336,s507,s140,s143,s242,s397,s136,s135,s1327,s1359,s204,s441,s443,s732,s210,s260,s266,s1290,s2032,s51,s52,s53,s54,s742,s639,s556]) ).

cnf(s2086,plain,
    ( spl15_14
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s2034,s2081,s2080,s2078,s2075,s2041,s1020,s919,s89,s556,s2076,s2077,s2079,s2083,s2084,s222,s2085,s2074,s2039]) ).

cnf(s2087,plain,
    ( ~ spl15_49
    | ~ spl15_14
    | spl15_56
    | spl15_23
    | spl15_119
    | spl15_118
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s787,s37,s142,s1622,s20,s173,s344,s674,s1211,s409,s974,s176,s39,s155,s179,s147,s315,s856,s976,s1718,s336,s597,s1006,s117,s119,s120,s636,s190]) ).

cnf(s2088,plain,
    ( ~ spl15_45
    | spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s787,s37,s142,s1622,s20,s1211,s409,s155,s179,s42,s554,s162,s674,s447,s817,s560,s1258,s2060,s95,s96,s1020,s919,s329,s2074,s198,s190,s2086]) ).

cnf(s2089,plain,
    ( spl15_7
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s1647,s161,s167,s1603,s1381,s39,s635,s148,s2070,s365,s446,s34,s1599,s238,s67,s70,s71,s72,s2034,s2088,s2087,s2067,s2056,s190,s2086,s2085,s2084,s2083,s2079,s2077,s2076,s89,s222,s329,s556,s742,s919,s1020,s2074,s2039]) ).

cnf(s2090,plain,
    ( ~ spl15_39
    | spl15_10
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s180,s1924,s1058,s156,s142,s252,s442,s438,s59,s60,s423,s194,s2089]) ).

cnf(s2091,plain,
    ( ~ spl15_51
    | spl15_10
    | spl15_14
    | spl15_12
    | spl15_33
    | spl15_57
    | spl15_70
    | spl15_106
    | spl15_4 ),
    inference(rat,[],[s347,s173,s345,s177,s1001,s141,s1317,s42,s31,s178,s188,s192,s751,s140,s180,s497,s1209,s856,s1235,s597,s978,s1914,s127,s128,s131,s132]) ).

cnf(s2092,plain,
    ( ~ spl15_48
    | spl15_14
    | spl15_114
    | spl15_1 ),
    inference(rat,[],[s371,s174,s175,s691,s319,s436,s110,s114]) ).

cnf(s2093,plain,
    ( ~ spl15_46
    | spl15_10
    | spl15_14
    | spl15_57
    | spl15_1 ),
    inference(rat,[],[s144,s644,s1906,s218,s38,s2080,s101,s102]) ).

cnf(s2094,plain,
    ( ~ spl15_41
    | spl15_10
    | spl15_14
    | ~ spl15_7
    | spl15_1 ),
    inference(rat,[],[s350,s34,s168,s316,s976,s557,s167,s137,s539,s1001,s1317,s175,s145,s1054,s408,s438,s418,s146,s38,s171,s1071,s446,s790,s1584,s256,s644,s999,s69,s71,s72,s425,s196,s194,s184]) ).

cnf(s2095,plain,
    ( ~ spl15_43
    | spl15_10
    | spl15_14
    | spl15_12
    | spl15_33
    | spl15_57
    | spl15_106
    | spl15_4 ),
    inference(rat,[],[s435,s35,s162,s564,s292,s166,s141,s31,s1202,s268,s568,s397,s445,s691,s2029,s83,s84]) ).

cnf(s2096,plain,
    ( ~ spl15_40
    | spl15_10
    | spl15_14
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s2030,s572,s175,s2047,s408,s1914,s938,s142,s180,s1584,s353,s441,s497,s379,s272,s321,s341,s350,s62,s64,s65,s66,s194,s2089]) ).

cnf(s2097,plain,
    ( ~ spl15_38
    | spl15_10
    | spl15_14
    | spl15_57 ),
    inference(rat,[],[s31,s2032,s54]) ).

cnf(s2098,plain,
    ( ~ spl15_44
    | ~ spl15_7 ),
    inference(rat,[],[s420,s142,s146,s1204,s1071,s246,s294,s85,s87,s90,s194,s184]) ).

cnf(s2099,plain,
    ( spl15_10
    | spl15_14
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s2034,s2097,s2096,s2095,s2094,s2093,s2091,s2090,s2037,s462,s422,s196,s194,s184,s125,s424,s2098,s2041,s2092,s423,s2089,s2039]) ).

cnf(s2100,plain,
    ( ~ spl15_51
    | ~ spl15_10
    | spl15_12
    | spl15_33
    | spl15_70
    | spl15_114
    | spl15_106
    | spl15_4 ),
    inference(rat,[],[s397,s135,s174,s34,s360,s202,s427,s178,s42,s1317,s188,s192,s200,s177,s140,s497,s856,s597,s978,s127,s131,s132,s742,s556,s329]) ).

cnf(s2101,plain,
    ( ~ spl15_49
    | spl15_115
    | spl15_1 ),
    inference(rat,[],[s155,s976,s597,s119,s120]) ).

cnf(s2102,plain,
    ( ~ spl15_69
    | spl15_26
    | ~ spl15_32
    | spl15_76
    | spl15_63
    | spl15_23
    | spl15_33 ),
    inference(rat,[],[s566,s1046,s169,s40,s668,s572]) ).

cnf(s2103,plain,
    ( ~ spl15_43
    | ~ spl15_10
    | spl15_12
    | spl15_33
    | spl15_70
    | spl15_106
    | spl15_4 ),
    inference(rat,[],[s674,s142,s176,s438,s856,s167,s140,s978,s164,s2102,s202,s436,s539,s35,s192,s572,s136,s1204,s445,s370,s999,s79,s83,s84,s919,s639,s329,s222]) ).

cnf(s2104,plain,
    ( spl15_14
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s978,s164,s140,s379,s208,s224,s64,s65,s66,s30,s2103,s2100,s2080,s2081,s2075,s2085,s222,s919,s1020,s2099,s2092,s2041,s462,s423,s422,s194,s184,s125,s424,s2098,s2101,s425,s2089,s2024,s2033,s2039]) ).

cnf(s2105,plain,
    ( ~ spl15_51
    | spl15_59
    | spl15_12
    | spl15_106
    | spl15_4 ),
    inference(rat,[],[s140,s188,s856,s42,s978,s131,s132]) ).

cnf(s2106,plain,
    ( ~ spl15_40
    | spl15_110
    | spl15_26 ),
    inference(rat,[],[s149,s382,s543,s65,s66]) ).

cnf(s2107,plain,
    ( spl15_4
    | spl15_1 ),
    inference(rat,[],[s573,s135,s143,s204,s210,s2032,s53,s54,s2034,s2106,s2105,s95,s69,s113,s449,s1071,s1370,s171,s755,s83,s6,s2067,s2056,s190,s198,s636,s656,s663,s1213,s2104,s2101,s2098,s125,s184,s196,s424,s425,s462,s2089,s2039]) ).

cnf(s2108,plain,
    ( ~ spl15_39
    | spl15_1 ),
    inference(rat,[],[s3,s1177,s1158,s147,s670,s633,s290,s168,s2049,s158,s1584,s1359,s252,s343,s344,s437,s543,s1290,s56,s58,s59,s60,s616,s548,s186,s2107]) ).

cnf(s2109,plain,
    ( ~ spl15_51
    | ~ spl15_4 ),
    inference(rat,[],[s784,s130,s132]) ).

cnf(s2110,plain,
    ( ~ spl15_50
    | spl15_14
    | spl15_1 ),
    inference(rat,[],[s376,s151,s41,s242,s568,s581,s155,s177,s497,s404,s961,s1006,s121,s125,s126,s1198,s182,s2107]) ).

cnf(s2111,plain,
    ( ~ spl15_49
    | spl15_7
    | spl15_1 ),
    inference(rat,[],[s595,s149,s40,s859,s8,s402,s1577,s1075,s178,s159,s36,s296,s1209,s230,s336,s1006,s1963,s2101,s116,s119,s120,s1557,s186,s182,s2107]) ).

cnf(s2112,plain,
    ( ~ spl15_46
    | spl15_14
    | spl15_1 ),
    inference(rat,[],[s859,s8,s175,s1075,s427,s2080,s102,s2107]) ).

cnf(s2113,plain,
    ( ~ spl15_41
    | spl15_7
    | spl15_14
    | ~ spl15_4 ),
    inference(rat,[],[s595,s149,s40,s859,s8,s1075,s176,s674,s177,s142,s353,s402,s633,s296,s178,s147,s148,s41,s365,s264,s444,s1599,s204,s238,s644,s806,s998,s67,s70,s71,s72,s1557,s1198,s616,s186,s182]) ).

cnf(s2114,plain,
    ( ~ spl15_56
    | ~ spl15_4 ),
    inference(rat,[],[s857,s1762,s1914]) ).

cnf(s2115,plain,
    ( ~ spl15_50
    | spl15_1 ),
    inference(rat,[],[s799,s2,s176,s754,s950,s354,s2110,s125,s616,s2107]) ).

cnf(s2116,plain,
    ( ~ spl15_49
    | spl15_1 ),
    inference(rat,[],[s425,s2111,s2101]) ).

cnf(s2117,plain,
    ( ~ spl15_46
    | spl15_1 ),
    inference(rat,[],[s2112,s2067]) ).

cnf(s2118,plain,
    ( ~ spl15_45
    | spl15_1 ),
    inference(rat,[],[s799,s2,s176,s754,s950,s693,s2041,s94,s616,s2107]) ).

cnf(s2119,plain,
    ( ~ spl15_41
    | spl15_1 ),
    inference(rat,[],[s2113,s2094,s756,s2064,s182,s2107]) ).

cnf(s2120,plain,
    ( ~ spl15_40
    | spl15_1 ),
    inference(rat,[],[s978,s164,s140,s422,s462,s208,s379,s224,s2084,s64,s65,s66,s2114,s2107]) ).

cnf(s2121,plain,
    ( ~ spl15_38
    | ~ spl15_4 ),
    inference(rat,[],[s151,s376,s581,s41,s754,s177,s164,s2,s40,s799,s777,s157,s272,s136,s242,s978,s140,s188,s138,s1327,s1359,s441,s732,s787,s1458,s210,s260,s266,s2032,s51,s52,s53,s54,s1198,s548,s186,s182,s2114]) ).

cnf(s2122,plain,
    ( ~ spl15_44
    | spl15_1
    | spl15_56 ),
    inference(rat,[],[s2098,s2069]) ).

cnf(s2123,plain,
    spl15_1,
    inference(rat,[],[s3,s1177,s1158,s147,s262,s178,s145,s918,s41,s568,s932,s212,s586,s587,s691,s376,s656,s2029,s81,s83,s84,s30,s2122,s2121,s2120,s2119,s2118,s2117,s2116,s2115,s2114,s2109,s2108,s113,s182,s622,s1557,s2107,s2024,s2033,s2039]) ).

cnf(s2124,plain,
    ~ spl15_107,
    inference(rat,[],[s977,s2123]) ).

cnf(s2125,plain,
    ~ spl15_105,
    inference(rat,[],[s975,s2123]) ).

cnf(s2126,plain,
    ~ spl15_114,
    inference(rat,[],[s640,s2123]) ).

cnf(s2127,plain,
    ~ spl15_71,
    inference(rat,[],[s373,s2123]) ).

cnf(s2128,plain,
    ~ spl15_115,
    inference(rat,[],[s369,s2123]) ).

cnf(s2129,plain,
    ~ spl15_95,
    inference(rat,[],[s325,s2123]) ).

cnf(s2130,plain,
    ~ spl15_26,
    inference(rat,[],[s274,s2123]) ).

cnf(s2131,plain,
    ~ spl15_51,
    inference(rat,[],[s132,s2127]) ).

cnf(s2132,plain,
    ( ~ spl15_23
    | ~ spl15_39
    | spl15_4 ),
    inference(rat,[],[s32,s286,s930,s142,s1663,s1058,s438,s442,s59,s943,s55,s60,s2130,s2123]) ).

cnf(s2133,plain,
    ( ~ spl15_106
    | ~ spl15_39
    | spl15_4 ),
    inference(rat,[],[s32,s288,s692,s143,s1024,s587,s320,s159,s138,s670,s262,s216,s1584,s56,s943,s55,s282,s158,s343,s437,s246,s222,s163,s254,s157,s2132,s543,s60,s344,s59,s1359,s58,s2123,s2129]) ).

cnf(s2134,plain,
    ( ~ spl15_39
    | spl15_4 ),
    inference(rat,[],[s436,s161,s32,s359,s184,s166,s147,s2133,s298,s290,s157,s158,s2132,s943,s1584,s343,s344,s437,s543,s1290,s55,s56,s59,s60,s2126]) ).

cnf(s2135,plain,
    ( ~ spl15_50
    | spl15_4 ),
    inference(rat,[],[s7,s1663,s611,s180,s2065,s1762,s2077,s124,s2123]) ).

cnf(s2136,plain,
    ~ spl15_48,
    inference(rat,[],[s1803,s111,s114,s2123]) ).

cnf(s2137,plain,
    ( ~ spl15_46
    | spl15_4 ),
    inference(rat,[],[s507,s159,s38,s1026,s1,s374,s149,s32,s270,s721,s161,s162,s346,s645,s244,s737,s1370,s319,s426,s427,s773,s2059,s2067,s101,s102,s2123,s2130,s2125]) ).

cnf(s2138,plain,
    ( ~ spl15_45
    | spl15_4 ),
    inference(rat,[],[s321,s37,s157,s1663,s7,s611,s151,s950,s2060,s35,s361,s1942,s298,s554,s174,s161,s162,s691,s232,s447,s1647,s560,s788,s1001,s1002,s1258,s92,s95,s96,s2130,s2123,s2126]) ).

cnf(s2139,plain,
    ~ spl15_41,
    inference(rat,[],[s321,s37,s157,s361,s1663,s174,s154,s7,s38,s611,s1020,s179,s1853,s755,s447,s539,s146,s1045,s167,s184,s362,s409,s438,s148,s171,s1599,s1071,s365,s445,s446,s238,s256,s644,s998,s999,s67,s69,s70,s71,s72,s2130,s2123,s2126,s2127,s2124,s2128]) ).

cnf(s2140,plain,
    ~ spl15_40,
    inference(rat,[],[s5,s1817,s1873,s145,s1851,s179,s456,s262,s284,s167,s140,s150,s1327,s379,s343,s382,s224,s340,s543,s63,s64,s65,s66,s2123,s2127,s2124,s2130]) ).

cnf(s2141,plain,
    ~ spl15_38,
    inference(rat,[],[s507,s38,s159,s1026,s174,s1,s346,s397,s636,s1345,s374,s173,s167,s149,s37,s1327,s442,s443,s787,s1458,s1289,s1290,s2053,s2032,s51,s53,s54,s2123,s2126,s2125,s2124,s2130]) ).

cnf(s2142,plain,
    ( ~ spl15_90
    | ~ spl15_43
    | spl15_4 ),
    inference(rat,[],[s35,s539,s563,s932,s81,s84]) ).

cnf(s2143,plain,
    ( ~ spl15_43
    | spl15_4 ),
    inference(rat,[],[s564,s35,s145,s435,s1851,s179,s437,s167,s2142,s932,s212,s370,s579,s81,s83,s84,s2127,s2124]) ).

cnf(s2144,plain,
    ( ~ spl15_49
    | spl15_4 ),
    inference(rat,[],[s374,s1,s179,s1026,s1020,s315,s2037,s117,s2123,s2127]) ).

cnf(s2145,plain,
    ( spl15_67
    | ~ spl15_44 ),
    inference(rat,[],[s5,s1817,s1873,s145,s174,s586,s248,s262,s147,s2098,s214,s89,s2123,s2126]) ).

cnf(s2146,plain,
    spl15_4,
    inference(rat,[],[s35,s171,s561,s1941,s146,s170,s427,s773,s2145,s1071,s294,s507,s2098,s87,s90,s2034,s2144,s2143,s2138,s2137,s2135,s2134,s2128,s2131,s2136,s2039,s2141,s2139,s2140]) ).

cnf(s2147,plain,
    ~ spl15_112,
    inference(rat,[],[s1557,s2146]) ).

cnf(s2148,plain,
    ~ spl15_113,
    inference(rat,[],[s1203,s2146]) ).

cnf(s2149,plain,
    ~ spl15_101,
    inference(rat,[],[s1198,s2146]) ).

cnf(s2150,plain,
    ~ spl15_92,
    inference(rat,[],[s622,s2146]) ).

cnf(s2151,plain,
    ~ spl15_68,
    inference(rat,[],[s616,s2146]) ).

cnf(s2152,plain,
    ~ spl15_103,
    inference(rat,[],[s548,s2146]) ).

cnf(s2154,plain,
    ~ spl15_23,
    inference(rat,[],[s186,s2146]) ).

cnf(s2155,plain,
    ~ spl15_10,
    inference(rat,[],[s182,s2146]) ).

cnf(s2156,plain,
    ~ spl15_56,
    inference(rat,[],[s2114,s2146]) ).

cnf(s2158,plain,
    ~ spl15_88,
    inference(rat,[],[s1024,s2123,s2151]) ).

cnf(s2159,plain,
    ~ spl15_59,
    inference(rat,[],[s692,s2158]) ).

cnf(s2160,plain,
    ~ spl15_39,
    inference(rat,[],[s414,s137,s153,s943,s206,s216,s55,s59,s60,s2149,s2159,s2150]) ).

cnf(s2161,plain,
    ( spl15_100
    | ~ spl15_50 ),
    inference(rat,[],[s37,s1458,s137,s169,s667,s806,s177,s1006,s497,s121,s200,s188,s140,s330,s126,s811,s125,s2130,s2154,s2149,s2124]) ).

cnf(s2162,plain,
    ~ spl15_50,
    inference(rat,[],[s38,s376,s656,s154,s171,s349,s414,s2161,s409,s568,s158,s177,s497,s290,s1006,s121,s126,s2155,s2159,s2151,s2128,s2154,s2149]) ).

cnf(s2163,plain,
    ~ spl15_46,
    inference(rat,[],[s1458,s40,s169,s139,s667,s172,s322,s507,s998,s674,s1351,s188,s38,s150,s138,s645,s532,s414,s449,s284,s429,s788,s2059,s2067,s97,s101,s102,s2154,s2130,s2125,s2148,s2155,s2152]) ).

cnf(s2164,plain,
    ~ spl15_45,
    inference(rat,[],[s5,s1817,s1873,s146,s174,s691,s449,s349,s788,s92,s95,s96,s2123,s2148,s2126]) ).

cnf(s2165,plain,
    ~ spl15_43,
    inference(rat,[],[s164,s41,s304,s568,s376,s656,s2029,s84,s2156,s2127,s2155]) ).

cnf(s2166,plain,
    ( ~ spl15_109
    | ~ spl15_7 ),
    inference(rat,[],[s3,s1158,s1177,s2146]) ).

cnf(s2167,plain,
    ~ spl15_49,
    inference(rat,[],[s2166,s148,s178,s1209,s811,s668,s1006,s116,s119,s120,s2128,s2147]) ).

cnf(s2168,plain,
    spl15_44,
    inference(rat,[],[s2034,s2163,s2165,s2162,s2140,s2139,s2141,s2164,s2160,s2039,s2136,s2131,s2167]) ).

cnf(s2169,plain,
    spl15_65,
    inference(rat,[],[s90,s2168]) ).

cnf(s2170,plain,
    spl15_85,
    inference(rat,[],[s89,s2168]) ).

cnf(s2175,plain,
    ~ spl15_7,
    inference(rat,[],[s2098,s2168]) ).

cnf(s2180,plain,
    ~ spl15_94,
    inference(rat,[],[s234,s2169]) ).

cnf(s2187,plain,
    ~ spl15_70,
    inference(rat,[],[s214,s2170]) ).

cnf(s2190,plain,
    spl15_104,
    inference(rat,[],[s148,s2128,s2180,s2175]) ).

cnf(s2200,plain,
    spl15_69,
    inference(rat,[],[s164,s2127,s2156,s2187]) ).

cnf(s2204,plain,
    $false,
    inference(rat,[],[s668,s2190,s2200]) ).

fof(f3964,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2204]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG145+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19  % Computer : n018.cluster.edu
% 0.06/0.19  % Model    : x86_64 x86_64
% 0.06/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19  % Memory   : 8046.5625MB
% 0.06/0.19  % OS       : Linux 6.8.0-71-generic
% 0.06/0.19  % CPULimit : 300
% 0.06/0.19  % WCLimit  : 300
% 0.06/0.19  % DateTime : Mon Sep 28 19:37:55 UTC 2026
% 0.06/0.19  % CPUTime  : 
% 0.06/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23  Running first-order theorem proving
% 0.06/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.58/1.42  % (3691439)Detected formulas, will run a generic FOF schedule.
% 4.58/1.42  % (3691567)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3570195567:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.58/1.42  % (3691567)Refutation not found, incomplete strategy
% 4.58/1.42  % (3691567)------------------------------
% 4.58/1.42  % (3691567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.42  % (3691567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.42  % (3691567)CaDiCaL version: 2.1.3
% 4.58/1.42  % (3691567)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.42  % (3691567)Time elapsed: 0.0000 s
% 4.58/1.42  % (3691567)Peak memory usage: 86 MB
% 4.58/1.42  % (3691565)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3504785569:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.58/1.42  % (3691561)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1339407794:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.58/1.42  % (3691563)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2265875449:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.58/1.42  % (3691571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=231029391:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.58/1.42  % (3691569)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3425243326:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.58/1.42  % (3691572)dis-21_1_sil=8000:lcm=predicate:random_seed=1342031669:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.58/1.42  % (3691569)Refutation not found, incomplete strategy
% 4.58/1.42  % (3691569)------------------------------
% 4.58/1.42  % (3691569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.42  % (3691569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.42  % (3691569)CaDiCaL version: 2.1.3
% 4.58/1.42  % (3691569)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.42  % (3691569)Time elapsed: 0.001 s
% 4.58/1.42  % (3691569)Peak memory usage: 86 MB
% 4.58/1.42  % (3691572)Refutation not found, incomplete strategy
% 4.58/1.42  % (3691572)------------------------------
% 4.58/1.42  % (3691572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.42  % (3691572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.42  % (3691572)CaDiCaL version: 2.1.3
% 4.58/1.42  % (3691572)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.42  % (3691572)Time elapsed: 0.009 s
% 4.58/1.42  % (3691572)Peak memory usage: 88 MB
% 4.58/1.42  % (3691572)Instructions burned: 17 (million)
% 4.58/1.42  % (3691571)Instruction limit reached! 
% 4.58/1.42  % (3691571)------------------------------
% 4.58/1.42  % (3691571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.42  % (3691571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.42  % (3691571)CaDiCaL version: 2.1.3
% 4.58/1.42  % (3691571)Termination reason: Instruction limit
% 4.58/1.42  % (3691571)Termination phase: Saturation
% 4.58/1.42  % (3691571)Time elapsed: 0.077 s
% 4.58/1.42  % (3691571)Peak memory usage: 89 MB
% 4.58/1.42  % (3691571)Instructions burned: 141 (million)
% 4.58/1.42  % (3691567)------------------------------
% 4.58/1.42  % (3691567)------------------------------
% 4.58/1.42  % (3691628)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4121282170:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.58/1.42  % (3691628)Refutation not found, incomplete strategy
% 4.58/1.42  % (3691628)------------------------------
% 4.58/1.42  % (3691628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.42  % (3691628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.42  % (3691628)CaDiCaL version: 2.1.3
% 4.58/1.42  % (3691628)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.42  % (3691628)Time elapsed: 0.001 s
% 4.58/1.42  % (3691628)Peak memory usage: 87 MB
% 4.58/1.42  % (3691628)Instructions burned: 3 (million)
% 4.58/1.42  % (3691627)lrs+10_1_sil=8000:sp=occurrence:random_seed=1587555763:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.84/1.63  % (3691627)Refutation not found, incomplete strategy
% 5.84/1.63  % (3691627)------------------------------
% 5.84/1.63  % (3691627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.63  % (3691627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.63  % (3691627)CaDiCaL version: 2.1.3
% 5.84/1.63  % (3691627)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.63  % (3691627)Time elapsed: 0.001 s
% 5.84/1.63  % (3691627)Peak memory usage: 86 MB
% 5.84/1.63  % (3691569)------------------------------
% 5.84/1.63  % (3691569)------------------------------
% 5.84/1.63  % (3691572)------------------------------
% 5.84/1.63  % (3691572)------------------------------
% 5.84/1.63  % (3691628)------------------------------
% 5.84/1.63  % (3691628)------------------------------
% 5.84/1.63  [W928 19:37:56.933781858 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933825578 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933860202 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933871658 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933881819 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933898832 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933907915 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933909339 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933943952 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933956202 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933982509 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.933993583 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.934756675 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.934792769 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.934826942 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.934838966 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.934864229 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  [W928 19:37:56.934875869 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 5.84/1.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.84/1.63  % (3691631)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2249396422:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.84/1.63  % (3691631)Refutation not found, incomplete strategy
% 5.84/1.63  % (3691631)------------------------------
% 5.84/1.63  % (3691631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.63  % (3691631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.63  % (3691631)CaDiCaL version: 2.1.3
% 5.84/1.63  % (3691631)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.63  % (3691631)Time elapsed: 0.001 s
% 5.84/1.63  % (3691631)Peak memory usage: 86 MB
% 5.84/1.63  % (3691632)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1360856386:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.84/1.63  % (3691633)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3173461289:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.84/1.63  % (3691633)Refutation not found, incomplete strategy
% 5.84/1.63  % (3691633)------------------------------
% 5.84/1.63  % (3691633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.63  % (3691633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.63  % (3691633)CaDiCaL version: 2.1.3
% 5.84/1.63  % (3691633)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.63  % (3691633)Time elapsed: 0.0000 s
% 5.84/1.63  % (3691633)Peak memory usage: 86 MB
% 5.84/1.63  % (3691633)Instructions burned: 1 (million)
% 5.84/1.63  % (3691627)------------------------------
% 5.84/1.63  % (3691627)------------------------------
% 5.84/1.63  % (3691632)First to succeed.
% 5.84/1.63  % (3691632)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3691439"
% 5.84/1.63  % (3691565)Refutation not found, incomplete strategy
% 5.84/1.63  % (3691565)------------------------------
% 5.84/1.63  % (3691565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.63  % (3691565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.63  % (3691565)CaDiCaL version: 2.1.3
% 5.84/1.63  % (3691565)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.63  % (3691565)Time elapsed: 0.581 s
% 5.84/1.63  % (3691565)Peak memory usage: 128 MB
% 5.84/1.63  % (3691565)Instructions burned: 853 (million)
% 5.84/1.63  % (3691633)------------------------------
% 5.84/1.63  % (3691633)------------------------------
% 5.84/1.63  % (3691637)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=80533703:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.84/1.63  % (3691631)------------------------------
% 5.84/1.63  % (3691631)------------------------------
% 5.84/1.63  % (3691638)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3368399854:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 5.84/1.63  % (3691638)Refutation not found, incomplete strategy
% 5.84/1.63  % (3691638)------------------------------
% 5.84/1.63  % (3691638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.63  % (3691638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.63  % (3691638)CaDiCaL version: 2.1.3
% 5.84/1.63  % (3691638)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.63  % (3691638)Time elapsed: 0.003 s
% 5.84/1.63  % (3691638)Peak memory usage: 88 MB
% 5.84/1.63  % (3691638)Instructions burned: 13 (million)
% 5.84/1.63  % (3691563)Also succeeded, but the first one will report.
% 5.84/1.63  % (3691561)Also succeeded, but the first one will report.
% 5.84/1.63  % (3691632)Refutation found. Thanks to Tanya!
% 5.84/1.63  % SZS status Unsatisfiable for theBenchmark
% 5.84/1.63  % SZS output start Proof for theBenchmark
% See solution above
% 7.32/1.83  % (3691632)------------------------------
% 7.32/1.83  % (3691632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.83  % (3691632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.83  % (3691632)CaDiCaL version: 2.1.3
% 7.32/1.83  % (3691632)Termination reason: Refutation
% 7.32/1.83  % (3691632)Time elapsed: 0.130 s
% 7.32/1.83  % (3691632)Peak memory usage: 91 MB
% 7.32/1.83  % (3691632)Instructions burned: 223 (million)
% 7.32/1.83  % (3691632)------------------------------
% 7.32/1.83  % (3691632)------------------------------
% 7.32/1.83  % (3691439)Success in time 0.944 s
% 7.32/1.83  % Vampire exiting
%------------------------------------------------------------------------------