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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG150+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 09:26:02 AM UTC 2026

% Result   : Unsatisfiable 0.80s 0.43s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f54,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f55,plain,
    ( e3 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f56,plain,
    ( e3 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f57,plain,
    ( e3 = op(e0,e3)
    | e2 = op(e0,e3)
    | e1 = op(e0,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f58,plain,
    ( e3 = op(e1,e0)
    | e2 = op(e1,e0)
    | e1 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f59,plain,
    ( e3 = op(e1,e1)
    | e2 = op(e1,e1)
    | e1 = op(e1,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f60,plain,
    ( e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f61,plain,
    ( e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f62,plain,
    ( e3 = op(e2,e0)
    | e2 = op(e2,e0)
    | e1 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

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

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

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

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

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

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

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

fof(f71,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f72,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f73,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f74,plain,
    ( e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f75,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f76,plain,
    ( e3 = op(e0,e3)
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f77,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f78,plain,
    ( e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f102,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f103,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f104,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f105,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f106,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f107,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f108,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f109,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f110,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f111,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f112,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f113,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f114,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f115,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f116,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f117,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f118,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f119,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f121,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f123,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f124,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f125,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f126,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f127,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f128,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f130,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f131,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f132,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f133,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f134,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f135,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f136,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f137,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f138,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f139,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f141,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f142,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f143,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f145,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f147,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f148,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f150,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f151,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f152,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f153,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f154,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f155,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f156,plain,
    ( op(e0,e3) != op(e3,op(e0,e3))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( op(e0,e2) != op(e2,op(e0,e2))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( op(e0,e1) != op(e1,op(e0,e1))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( op(e0,e0) != op(e0,op(e0,e0))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( op(e1,e3) != op(e3,op(e1,e3))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( op(e1,e2) != op(e2,op(e1,e2))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( op(e1,e1) != op(e1,op(e1,e1))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( op(e1,e0) != op(e0,op(e1,e0))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( op(e3,e0) != op(e0,op(e3,e0))
    | op(e2,e3) != op(e3,op(e2,e3))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( op(e3,e0) != op(e0,op(e3,e0))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( op(e3,e0) != op(e0,op(e3,e0))
    | op(e2,e0) != op(e0,op(e2,e0))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( op(e3,e1) != op(e1,op(e3,e1))
    | op(e2,e3) != op(e3,op(e2,e3))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( op(e3,e1) != op(e1,op(e3,e1))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( op(e3,e1) != op(e1,op(e3,e1))
    | op(e2,e1) != op(e1,op(e2,e1))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | op(e2,e1) != op(e1,op(e2,e1))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | op(e2,e0) != op(e0,op(e2,e0))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e3) != op(e3,op(e2,e3))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e1) != op(e1,op(e2,e1))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e0) != op(e0,op(e2,e0))
    | sP0
    | sP1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( e3 = op(e3,e3)
    | e2 = op(e2,e2)
    | e1 = op(e1,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( e0 = op(e0,e1)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( e0 = op(e0,e2)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( e0 = op(e0,e3)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( e1 = op(e1,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( e1 = op(e1,e2)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( e1 = op(e1,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( e2 = op(e2,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( e2 = op(e2,e1)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( e2 = op(e2,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( e3 = op(e3,e0)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( e3 = op(e3,e1)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( e3 = op(e3,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
    | e1 != op(e3,e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f194,plain,
    ( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
    | e1 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f195,plain,
    ( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
    | e2 != op(e3,e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f196,plain,
    ( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f197,plain,
    ( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
    | e3 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f198,plain,
    ( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
    | e3 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f199,plain,
    ( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
    | e0 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f200,plain,
    ( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f201,plain,
    ( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f202,plain,
    ( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
    | op(e0,e0) != e2
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f203,plain,
    ( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
    | e3 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f204,plain,
    ( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
    | op(e0,e0) != e3
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f205,plain,
    ( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f206,plain,
    ( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f207,plain,
    ( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
    | e1 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f208,plain,
    ( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
    | op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f209,plain,
    ( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
    | e3 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f210,plain,
    ( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f211,plain,
    ( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
    | e0 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f212,plain,
    ( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
    | e0 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f213,plain,
    ( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
    | e1 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f214,plain,
    ( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f215,plain,
    ( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
    | e2 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f216,plain,
    ( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f217,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e0) != op(e0,op(e2,e0))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f218,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e1) != op(e1,op(e2,e1))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f219,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f220,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | op(e2,e3) != op(e3,op(e2,e3))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f221,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | op(e2,e0) != op(e0,op(e2,e0))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f222,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | op(e2,e1) != op(e1,op(e2,e1))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f223,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f226,plain,
    ( op(e3,e1) != op(e1,op(e3,e1))
    | op(e2,e1) != op(e1,op(e2,e1))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f227,plain,
    ( op(e3,e1) != op(e1,op(e3,e1))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f228,plain,
    ( op(e3,e1) != op(e1,op(e3,e1))
    | op(e2,e3) != op(e3,op(e2,e3))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f229,plain,
    ( op(e3,e0) != op(e0,op(e3,e0))
    | op(e2,e0) != op(e0,op(e2,e0))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f231,plain,
    ( op(e3,e0) != op(e0,op(e3,e0))
    | op(e2,e2) != op(e2,op(e2,e2))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f232,plain,
    ( op(e3,e0) != op(e0,op(e3,e0))
    | op(e2,e3) != op(e3,op(e2,e3))
    | sP0
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f233,plain,
    ( op(e0,e0) != op(e0,op(e0,e0))
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f234,plain,
    ( op(e0,e1) != op(e1,op(e0,e1))
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f235,plain,
    ( op(e0,e2) != op(e2,op(e0,e2))
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f236,plain,
    ( op(e0,e3) != op(e3,op(e0,e3))
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f238,definition,
    ( spl2_1
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

fof(f239,plain,
    ( e3 = op(op(e0,e0),op(e0,e0))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f240,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f242,definition,
    ( spl2_2
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

fof(f243,plain,
    ( op(e0,e0) = e2
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f246,definition,
    ( spl2_3
  <=> e1 = op(e0,op(op(e0,e0),op(e0,e0))) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

fof(f248,plain,
    ( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
    | spl2_3 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f249,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f216,f246,f242,f238]) ).

fof(f251,definition,
    ( spl2_4
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

fof(f252,plain,
    ( e3 = op(op(e1,e1),op(e1,e1))
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f253,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl2_4 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f255,definition,
    ( spl2_5
  <=> e2 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

fof(f256,plain,
    ( e2 = op(e1,e1)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f259,definition,
    ( spl2_6
  <=> e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

fof(f261,plain,
    ( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
    | spl2_6 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( ~ spl2_4
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f215,f259,f255,f251]) ).

fof(f264,definition,
    ( spl2_7
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

fof(f265,plain,
    ( op(e0,e0) = e1
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f268,definition,
    ( spl2_8
  <=> e2 = op(e0,op(op(e0,e0),op(e0,e0))) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

fof(f270,plain,
    ( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
    | spl2_8 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f271,plain,
    ( ~ spl2_1
    | ~ spl2_7
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f214,f268,f264,f238]) ).

fof(f273,definition,
    ( spl2_9
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).

fof(f274,plain,
    ( e3 = op(op(e2,e2),op(e2,e2))
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl2_9 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f277,definition,
    ( spl2_10
  <=> e1 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).

fof(f278,plain,
    ( e1 = op(e2,e2)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f281,definition,
    ( spl2_11
  <=> e0 = op(e2,op(op(e2,e2),op(e2,e2))) ),
    introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).

fof(f282,plain,
    ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f283,plain,
    ( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
    | spl2_11 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f284,plain,
    ( ~ spl2_9
    | ~ spl2_10
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f213,f281,f277,f273]) ).

fof(f286,definition,
    ( spl2_12
  <=> e0 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).

fof(f287,plain,
    ( e0 = op(e1,e1)
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f290,definition,
    ( spl2_13
  <=> e2 = op(e1,op(op(e1,e1),op(e1,e1))) ),
    introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).

fof(f292,plain,
    ( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
    | spl2_13 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f293,plain,
    ( ~ spl2_4
    | ~ spl2_12
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f212,f290,f286,f251]) ).

fof(f295,definition,
    ( spl2_14
  <=> e0 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).

fof(f296,plain,
    ( e0 = op(e2,e2)
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f299,definition,
    ( spl2_15
  <=> e1 = op(e2,op(op(e2,e2),op(e2,e2))) ),
    introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).

fof(f301,plain,
    ( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
    | spl2_15 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f302,plain,
    ( ~ spl2_9
    | ~ spl2_14
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f211,f299,f295,f273]) ).

fof(f304,definition,
    ( spl2_16
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).

fof(f306,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl2_16 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f308,definition,
    ( spl2_17
  <=> op(e0,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).

fof(f309,plain,
    ( op(e0,e0) = e3
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( op(e0,e0) != e3
    | spl2_17 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f311,plain,
    ( ~ spl2_16
    | ~ spl2_17
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f210,f246,f308,f304]) ).

fof(f313,definition,
    ( spl2_18
  <=> e2 = op(op(e1,e1),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).

fof(f315,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | spl2_18 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f317,definition,
    ( spl2_19
  <=> e3 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).

fof(f318,plain,
    ( e3 = op(e1,e1)
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f319,plain,
    ( e3 != op(e1,e1)
    | spl2_19 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f320,plain,
    ( ~ spl2_18
    | ~ spl2_19
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f209,f259,f317,f313]) ).

fof(f322,definition,
    ( spl2_20
  <=> e3 = op(e0,op(op(e0,e0),op(e0,e0))) ),
    introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).

fof(f324,plain,
    ( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
    | spl2_20 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f325,plain,
    ( ~ spl2_16
    | ~ spl2_7
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f208,f322,f264,f304]) ).

fof(f327,definition,
    ( spl2_21
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).

fof(f328,plain,
    ( e2 = op(op(e3,e3),op(e3,e3))
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | spl2_21 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f331,definition,
    ( spl2_22
  <=> e1 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).

fof(f332,plain,
    ( e1 = op(e3,e3)
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f335,definition,
    ( spl2_23
  <=> e0 = op(e3,op(op(e3,e3),op(e3,e3))) ),
    introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).

fof(f337,plain,
    ( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
    | spl2_23 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f338,plain,
    ( ~ spl2_21
    | ~ spl2_22
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f207,f335,f331,f327]) ).

fof(f340,definition,
    ( spl2_24
  <=> e3 = op(e1,op(op(e1,e1),op(e1,e1))) ),
    introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).

fof(f342,plain,
    ( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
    | spl2_24 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f343,plain,
    ( ~ spl2_18
    | ~ spl2_12
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f206,f340,f286,f313]) ).

fof(f345,definition,
    ( spl2_25
  <=> e0 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).

fof(f346,plain,
    ( e0 = op(e3,e3)
    | ~ spl2_25 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f349,definition,
    ( spl2_26
  <=> e1 = op(e3,op(op(e3,e3),op(e3,e3))) ),
    introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).

fof(f351,plain,
    ( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
    | spl2_26 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f352,plain,
    ( ~ spl2_21
    | ~ spl2_25
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f205,f349,f345,f327]) ).

fof(f354,definition,
    ( spl2_27
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).

fof(f356,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | spl2_27 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f357,plain,
    ( ~ spl2_27
    | ~ spl2_17
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f204,f268,f308,f354]) ).

fof(f359,definition,
    ( spl2_28
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).

fof(f361,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl2_28 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f363,definition,
    ( spl2_29
  <=> e3 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).

fof(f364,plain,
    ( e3 = op(e2,e2)
    | ~ spl2_29 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f366,plain,
    ( ~ spl2_28
    | ~ spl2_29
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f203,f281,f363,f359]) ).

fof(f367,plain,
    ( ~ spl2_27
    | ~ spl2_2
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f202,f322,f242,f354]) ).

fof(f369,definition,
    ( spl2_30
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).

fof(f371,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl2_30 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f373,definition,
    ( spl2_31
  <=> e2 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).

fof(f374,plain,
    ( e2 = op(e3,e3)
    | ~ spl2_31 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( e2 != op(e3,e3)
    | spl2_31 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f376,plain,
    ( ~ spl2_30
    | ~ spl2_31
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f201,f335,f373,f369]) ).

fof(f378,definition,
    ( spl2_32
  <=> e3 = op(e2,op(op(e2,e2),op(e2,e2))) ),
    introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).

fof(f380,plain,
    ( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
    | spl2_32 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,plain,
    ( ~ spl2_28
    | ~ spl2_14
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f200,f378,f295,f359]) ).

fof(f383,definition,
    ( spl2_33
  <=> e2 = op(e3,op(op(e3,e3),op(e3,e3))) ),
    introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).

fof(f385,plain,
    ( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
    | spl2_33 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f386,plain,
    ( ~ spl2_30
    | ~ spl2_25
    | ~ spl2_33 ),
    inference(avatar_split_clause,[],[f199,f383,f345,f369]) ).

fof(f388,definition,
    ( spl2_34
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).

fof(f390,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl2_34 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f391,plain,
    ( ~ spl2_34
    | ~ spl2_19
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f198,f290,f317,f388]) ).

fof(f393,definition,
    ( spl2_35
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).

fof(f395,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl2_35 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f396,plain,
    ( ~ spl2_35
    | ~ spl2_29
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f197,f299,f363,f393]) ).

fof(f397,plain,
    ( ~ spl2_34
    | ~ spl2_5
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f196,f340,f255,f388]) ).

fof(f399,definition,
    ( spl2_36
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).

fof(f401,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | spl2_36 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f402,plain,
    ( ~ spl2_36
    | ~ spl2_31
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f195,f349,f373,f399]) ).

fof(f403,plain,
    ( ~ spl2_35
    | ~ spl2_10
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f194,f378,f277,f393]) ).

fof(f404,plain,
    ( ~ spl2_36
    | ~ spl2_22
    | ~ spl2_33 ),
    inference(avatar_split_clause,[],[f193,f383,f331,f399]) ).

fof(f406,definition,
    ( spl2_37
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).

fof(f410,definition,
    ( spl2_38
  <=> op(e0,e3) = op(e3,op(e0,e3)) ),
    introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).

fof(f412,plain,
    ( op(e0,e3) != op(e3,op(e0,e3))
    | spl2_38 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f413,plain,
    ( spl2_37
    | ~ spl2_38 ),
    inference(avatar_split_clause,[],[f236,f410,f406]) ).

fof(f415,definition,
    ( spl2_39
  <=> op(e0,e2) = op(e2,op(e0,e2)) ),
    introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).

fof(f417,plain,
    ( op(e0,e2) != op(e2,op(e0,e2))
    | spl2_39 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f418,plain,
    ( spl2_37
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f235,f415,f406]) ).

fof(f420,definition,
    ( spl2_40
  <=> op(e0,e1) = op(e1,op(e0,e1)) ),
    introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).

fof(f422,plain,
    ( op(e0,e1) != op(e1,op(e0,e1))
    | spl2_40 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f423,plain,
    ( spl2_37
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f234,f420,f406]) ).

fof(f425,definition,
    ( spl2_41
  <=> op(e0,e0) = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).

fof(f426,plain,
    ( op(e0,e0) = op(e0,op(e0,e0))
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f427,plain,
    ( op(e0,e0) != op(e0,op(e0,e0))
    | spl2_41 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,plain,
    ( spl2_37
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f233,f425,f406]) ).

fof(f430,definition,
    ( spl2_42
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).

fof(f434,definition,
    ( spl2_43
  <=> op(e1,e3) = op(e3,op(e1,e3)) ),
    introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).

fof(f436,plain,
    ( op(e1,e3) != op(e3,op(e1,e3))
    | spl2_43 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f437,plain,
    ( ~ spl2_42
    | ~ spl2_43 ),
    inference(avatar_split_clause,[],[f160,f434,f430]) ).

fof(f439,definition,
    ( spl2_44
  <=> op(e1,e2) = op(e2,op(e1,e2)) ),
    introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).

fof(f441,plain,
    ( op(e1,e2) != op(e2,op(e1,e2))
    | spl2_44 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f442,plain,
    ( ~ spl2_42
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f161,f439,f430]) ).

fof(f444,definition,
    ( spl2_45
  <=> op(e1,e1) = op(e1,op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).

fof(f446,plain,
    ( op(e1,e1) != op(e1,op(e1,e1))
    | spl2_45 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f447,plain,
    ( ~ spl2_42
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f162,f444,f430]) ).

fof(f449,definition,
    ( spl2_46
  <=> op(e1,e0) = op(e0,op(e1,e0)) ),
    introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).

fof(f451,plain,
    ( op(e1,e0) != op(e0,op(e1,e0))
    | spl2_46 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f452,plain,
    ( ~ spl2_42
    | ~ spl2_46 ),
    inference(avatar_split_clause,[],[f163,f449,f430]) ).

fof(f454,definition,
    ( spl2_47
  <=> op(e2,e3) = op(e3,op(e2,e3)) ),
    introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).

fof(f456,plain,
    ( op(e2,e3) != op(e3,op(e2,e3))
    | spl2_47 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f458,definition,
    ( spl2_48
  <=> op(e3,e0) = op(e0,op(e3,e0)) ),
    introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).

fof(f459,plain,
    ( op(e3,e0) = op(e0,op(e3,e0))
    | ~ spl2_48 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( op(e3,e0) != op(e0,op(e3,e0))
    | spl2_48 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f461,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f232,f458,f454,f430,f406]) ).

fof(f463,definition,
    ( spl2_49
  <=> op(e2,e2) = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).

fof(f465,plain,
    ( op(e2,e2) != op(e2,op(e2,e2))
    | spl2_49 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f466,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_49
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f231,f458,f463,f430,f406]) ).

fof(f468,definition,
    ( spl2_50
  <=> op(e2,e1) = op(e1,op(e2,e1)) ),
    introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).

fof(f470,plain,
    ( op(e2,e1) != op(e1,op(e2,e1))
    | spl2_50 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f473,definition,
    ( spl2_51
  <=> op(e2,e0) = op(e0,op(e2,e0)) ),
    introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).

fof(f475,plain,
    ( op(e2,e0) != op(e0,op(e2,e0))
    | spl2_51 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f476,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_51
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f229,f458,f473,f430,f406]) ).

fof(f478,definition,
    ( spl2_52
  <=> op(e3,e1) = op(e1,op(e3,e1)) ),
    introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).

fof(f480,plain,
    ( op(e3,e1) != op(e1,op(e3,e1))
    | spl2_52 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f481,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f228,f478,f454,f430,f406]) ).

fof(f482,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_49
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f227,f478,f463,f430,f406]) ).

fof(f483,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_50
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f226,f478,f468,f430,f406]) ).

fof(f486,definition,
    ( spl2_53
  <=> op(e3,e2) = op(e2,op(e3,e2)) ),
    introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).

fof(f488,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | spl2_53 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f490,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_49
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f223,f486,f463,f430,f406]) ).

fof(f491,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_50
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f222,f486,f468,f430,f406]) ).

fof(f492,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_51
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f221,f486,f473,f430,f406]) ).

fof(f494,definition,
    ( spl2_54
  <=> op(e3,e3) = op(e3,op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).

fof(f496,plain,
    ( op(e3,e3) != op(e3,op(e3,e3))
    | spl2_54 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f497,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f220,f494,f454,f430,f406]) ).

fof(f498,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_49
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f219,f494,f463,f430,f406]) ).

fof(f499,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_50
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f218,f494,f468,f430,f406]) ).

fof(f500,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_51
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f217,f494,f473,f430,f406]) ).

fof(f502,definition,
    ( spl2_55
  <=> e0 = op(e0,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).

fof(f504,plain,
    ( e0 = op(e0,e0)
    | ~ spl2_55 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f506,definition,
    ( spl2_56
  <=> e1 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).

fof(f508,plain,
    ( e1 = op(e1,e1)
    | ~ spl2_56 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f510,definition,
    ( spl2_57
  <=> e2 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_57])],[avatar_definition]) ).

fof(f512,plain,
    ( e2 = op(e2,e2)
    | ~ spl2_57 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f514,definition,
    ( spl2_58
  <=> e3 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).

fof(f516,plain,
    ( e3 = op(e3,e3)
    | ~ spl2_58 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f517,plain,
    ( spl2_55
    | spl2_56
    | spl2_57
    | spl2_58 ),
    inference(avatar_split_clause,[],[f180,f514,f510,f506,f502]) ).

fof(f519,definition,
    ( spl2_59
  <=> e0 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).

fof(f521,plain,
    ( e0 = op(e0,e1)
    | ~ spl2_59 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f522,plain,
    ( ~ spl2_7
    | spl2_59 ),
    inference(avatar_split_clause,[],[f181,f519,f264]) ).

fof(f524,definition,
    ( spl2_60
  <=> e0 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).

fof(f526,plain,
    ( e0 = op(e0,e2)
    | ~ spl2_60 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f527,plain,
    ( ~ spl2_2
    | spl2_60 ),
    inference(avatar_split_clause,[],[f182,f524,f242]) ).

fof(f529,definition,
    ( spl2_61
  <=> e0 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_61])],[avatar_definition]) ).

fof(f531,plain,
    ( e0 = op(e0,e3)
    | ~ spl2_61 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f532,plain,
    ( ~ spl2_17
    | spl2_61 ),
    inference(avatar_split_clause,[],[f183,f529,f308]) ).

fof(f534,definition,
    ( spl2_62
  <=> e1 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).

fof(f536,plain,
    ( e1 = op(e1,e0)
    | ~ spl2_62 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f537,plain,
    ( ~ spl2_12
    | spl2_62 ),
    inference(avatar_split_clause,[],[f184,f534,f286]) ).

fof(f539,definition,
    ( spl2_63
  <=> e1 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).

fof(f541,plain,
    ( e1 = op(e1,e2)
    | ~ spl2_63 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f542,plain,
    ( ~ spl2_5
    | spl2_63 ),
    inference(avatar_split_clause,[],[f185,f539,f255]) ).

fof(f544,definition,
    ( spl2_64
  <=> e1 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).

fof(f546,plain,
    ( e1 = op(e1,e3)
    | ~ spl2_64 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f547,plain,
    ( ~ spl2_19
    | spl2_64 ),
    inference(avatar_split_clause,[],[f186,f544,f317]) ).

fof(f549,definition,
    ( spl2_65
  <=> e2 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).

fof(f551,plain,
    ( e2 = op(e2,e0)
    | ~ spl2_65 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f552,plain,
    ( ~ spl2_14
    | spl2_65 ),
    inference(avatar_split_clause,[],[f187,f549,f295]) ).

fof(f554,definition,
    ( spl2_66
  <=> e2 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_66])],[avatar_definition]) ).

fof(f556,plain,
    ( e2 = op(e2,e1)
    | ~ spl2_66 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f557,plain,
    ( ~ spl2_10
    | spl2_66 ),
    inference(avatar_split_clause,[],[f188,f554,f277]) ).

fof(f559,definition,
    ( spl2_67
  <=> e2 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).

fof(f561,plain,
    ( e2 = op(e2,e3)
    | ~ spl2_67 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f562,plain,
    ( ~ spl2_29
    | spl2_67 ),
    inference(avatar_split_clause,[],[f189,f559,f363]) ).

fof(f564,definition,
    ( spl2_68
  <=> e3 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).

fof(f566,plain,
    ( e3 = op(e3,e0)
    | ~ spl2_68 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( ~ spl2_25
    | spl2_68 ),
    inference(avatar_split_clause,[],[f190,f564,f345]) ).

fof(f569,definition,
    ( spl2_69
  <=> e3 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).

fof(f571,plain,
    ( e3 = op(e3,e1)
    | ~ spl2_69 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f572,plain,
    ( ~ spl2_22
    | spl2_69 ),
    inference(avatar_split_clause,[],[f191,f569,f331]) ).

fof(f574,definition,
    ( spl2_70
  <=> e3 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).

fof(f576,plain,
    ( e3 = op(e3,e2)
    | ~ spl2_70 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f577,plain,
    ( ~ spl2_31
    | spl2_70 ),
    inference(avatar_split_clause,[],[f192,f574,f373]) ).

fof(f580,definition,
    ( spl2_71
  <=> e0 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).

fof(f582,plain,
    ( e0 = op(e1,e0)
    | ~ spl2_71 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f584,definition,
    ( spl2_72
  <=> e0 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).

fof(f585,plain,
    ( e0 != op(e2,e0)
    | spl2_72 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f586,plain,
    ( e0 = op(e2,e0)
    | ~ spl2_72 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f588,definition,
    ( spl2_73
  <=> e0 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).

fof(f590,plain,
    ( e0 = op(e3,e0)
    | ~ spl2_73 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( spl2_55
    | spl2_71
    | spl2_72
    | spl2_73 ),
    inference(avatar_split_clause,[],[f71,f588,f584,f580,f502]) ).

fof(f593,definition,
    ( spl2_74
  <=> e1 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).

fof(f595,plain,
    ( e1 = op(e0,e1)
    | ~ spl2_74 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f597,definition,
    ( spl2_75
  <=> e1 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).

fof(f599,plain,
    ( e1 = op(e0,e2)
    | ~ spl2_75 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f601,definition,
    ( spl2_76
  <=> e1 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).

fof(f603,plain,
    ( e1 = op(e0,e3)
    | ~ spl2_76 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f604,plain,
    ( spl2_7
    | spl2_74
    | spl2_75
    | spl2_76 ),
    inference(avatar_split_clause,[],[f72,f601,f597,f593,f264]) ).

fof(f606,definition,
    ( spl2_77
  <=> e1 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).

fof(f608,plain,
    ( e1 = op(e2,e0)
    | ~ spl2_77 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f610,definition,
    ( spl2_78
  <=> e1 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).

fof(f612,plain,
    ( e1 = op(e3,e0)
    | ~ spl2_78 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( spl2_7
    | spl2_62
    | spl2_77
    | spl2_78 ),
    inference(avatar_split_clause,[],[f73,f610,f606,f534,f264]) ).

fof(f615,definition,
    ( spl2_79
  <=> e2 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).

fof(f617,plain,
    ( e2 = op(e0,e1)
    | ~ spl2_79 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f619,definition,
    ( spl2_80
  <=> e2 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).

fof(f620,plain,
    ( e2 != op(e0,e2)
    | spl2_80 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f621,plain,
    ( e2 = op(e0,e2)
    | ~ spl2_80 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f623,definition,
    ( spl2_81
  <=> e2 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).

fof(f625,plain,
    ( e2 = op(e0,e3)
    | ~ spl2_81 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f626,plain,
    ( spl2_2
    | spl2_79
    | spl2_80
    | spl2_81 ),
    inference(avatar_split_clause,[],[f74,f623,f619,f615,f242]) ).

fof(f628,definition,
    ( spl2_82
  <=> e2 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).

fof(f630,plain,
    ( e2 = op(e1,e0)
    | ~ spl2_82 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f632,definition,
    ( spl2_83
  <=> e2 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).

fof(f634,plain,
    ( e2 = op(e3,e0)
    | ~ spl2_83 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,plain,
    ( spl2_2
    | spl2_82
    | spl2_65
    | spl2_83 ),
    inference(avatar_split_clause,[],[f75,f632,f549,f628,f242]) ).

fof(f637,definition,
    ( spl2_84
  <=> e3 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).

fof(f639,plain,
    ( e3 = op(e0,e1)
    | ~ spl2_84 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f641,definition,
    ( spl2_85
  <=> e3 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).

fof(f643,plain,
    ( e3 = op(e0,e2)
    | ~ spl2_85 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f645,definition,
    ( spl2_86
  <=> e3 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).

fof(f647,plain,
    ( e3 = op(e0,e3)
    | ~ spl2_86 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f648,plain,
    ( spl2_17
    | spl2_84
    | spl2_85
    | spl2_86 ),
    inference(avatar_split_clause,[],[f76,f645,f641,f637,f308]) ).

fof(f650,definition,
    ( spl2_87
  <=> e3 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_87])],[avatar_definition]) ).

fof(f652,plain,
    ( e3 = op(e1,e0)
    | ~ spl2_87 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f654,definition,
    ( spl2_88
  <=> e3 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).

fof(f656,plain,
    ( e3 = op(e2,e0)
    | ~ spl2_88 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f657,plain,
    ( spl2_17
    | spl2_87
    | spl2_88
    | spl2_68 ),
    inference(avatar_split_clause,[],[f77,f564,f654,f650,f308]) ).

fof(f659,definition,
    ( spl2_89
  <=> e0 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).

fof(f661,plain,
    ( e0 = op(e1,e2)
    | ~ spl2_89 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f663,definition,
    ( spl2_90
  <=> e0 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_90])],[avatar_definition]) ).

fof(f665,plain,
    ( e0 = op(e1,e3)
    | ~ spl2_90 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( spl2_71
    | spl2_12
    | spl2_89
    | spl2_90 ),
    inference(avatar_split_clause,[],[f78,f663,f659,f286,f580]) ).

fof(f668,definition,
    ( spl2_91
  <=> e0 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).

fof(f670,plain,
    ( e0 = op(e2,e1)
    | ~ spl2_91 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f672,definition,
    ( spl2_92
  <=> e0 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).

fof(f674,plain,
    ( e0 = op(e3,e1)
    | ~ spl2_92 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( spl2_59
    | spl2_12
    | spl2_91
    | spl2_92 ),
    inference(avatar_split_clause,[],[f79,f672,f668,f286,f519]) ).

fof(f678,definition,
    ( spl2_93
  <=> e1 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).

fof(f680,plain,
    ( e1 = op(e2,e1)
    | ~ spl2_93 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f682,definition,
    ( spl2_94
  <=> e1 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).

fof(f685,plain,
    ( spl2_74
    | spl2_56
    | spl2_93
    | spl2_94 ),
    inference(avatar_split_clause,[],[f81,f682,f678,f506,f593]) ).

fof(f687,definition,
    ( spl2_95
  <=> e2 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).

fof(f689,plain,
    ( e2 = op(e1,e2)
    | ~ spl2_95 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f691,definition,
    ( spl2_96
  <=> e2 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).

fof(f693,plain,
    ( e2 = op(e1,e3)
    | ~ spl2_96 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f694,plain,
    ( spl2_82
    | spl2_5
    | spl2_95
    | spl2_96 ),
    inference(avatar_split_clause,[],[f82,f691,f687,f255,f628]) ).

fof(f696,definition,
    ( spl2_97
  <=> e2 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).

fof(f698,plain,
    ( e2 = op(e3,e1)
    | ~ spl2_97 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f701,definition,
    ( spl2_98
  <=> e3 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).

fof(f703,plain,
    ( e3 = op(e1,e2)
    | ~ spl2_98 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f705,definition,
    ( spl2_99
  <=> e3 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).

fof(f707,plain,
    ( e3 = op(e1,e3)
    | ~ spl2_99 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f708,plain,
    ( spl2_87
    | spl2_19
    | spl2_98
    | spl2_99 ),
    inference(avatar_split_clause,[],[f84,f705,f701,f317,f650]) ).

fof(f710,definition,
    ( spl2_100
  <=> e3 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).

fof(f712,plain,
    ( e3 = op(e2,e1)
    | ~ spl2_100 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( spl2_84
    | spl2_19
    | spl2_100
    | spl2_69 ),
    inference(avatar_split_clause,[],[f85,f569,f710,f317,f637]) ).

fof(f715,definition,
    ( spl2_101
  <=> e0 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).

fof(f717,plain,
    ( e0 = op(e2,e3)
    | ~ spl2_101 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,plain,
    ( spl2_72
    | spl2_91
    | spl2_14
    | spl2_101 ),
    inference(avatar_split_clause,[],[f86,f715,f295,f668,f584]) ).

fof(f720,definition,
    ( spl2_102
  <=> e0 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).

fof(f722,plain,
    ( e0 = op(e3,e2)
    | ~ spl2_102 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( spl2_60
    | spl2_89
    | spl2_14
    | spl2_102 ),
    inference(avatar_split_clause,[],[f87,f720,f295,f659,f524]) ).

fof(f725,definition,
    ( spl2_103
  <=> e1 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).

fof(f727,plain,
    ( e1 = op(e2,e3)
    | ~ spl2_103 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( spl2_77
    | spl2_93
    | spl2_10
    | spl2_103 ),
    inference(avatar_split_clause,[],[f88,f725,f277,f678,f606]) ).

fof(f730,definition,
    ( spl2_104
  <=> e1 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).

fof(f732,plain,
    ( e1 = op(e3,e2)
    | ~ spl2_104 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f733,plain,
    ( spl2_75
    | spl2_63
    | spl2_10
    | spl2_104 ),
    inference(avatar_split_clause,[],[f89,f730,f277,f539,f597]) ).

fof(f736,definition,
    ( spl2_105
  <=> e2 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).

fof(f738,plain,
    ( e2 = op(e3,e2)
    | ~ spl2_105 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f739,plain,
    ( spl2_80
    | spl2_95
    | spl2_57
    | spl2_105 ),
    inference(avatar_split_clause,[],[f91,f736,f510,f687,f619]) ).

fof(f741,definition,
    ( spl2_106
  <=> e3 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).

fof(f743,plain,
    ( e3 = op(e2,e3)
    | ~ spl2_106 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f744,plain,
    ( spl2_88
    | spl2_100
    | spl2_29
    | spl2_106 ),
    inference(avatar_split_clause,[],[f92,f741,f363,f710,f654]) ).

fof(f745,plain,
    ( spl2_85
    | spl2_98
    | spl2_29
    | spl2_70 ),
    inference(avatar_split_clause,[],[f93,f574,f363,f701,f641]) ).

fof(f746,plain,
    ( spl2_73
    | spl2_92
    | spl2_102
    | spl2_25 ),
    inference(avatar_split_clause,[],[f94,f345,f720,f672,f588]) ).

fof(f747,plain,
    ( spl2_61
    | spl2_90
    | spl2_101
    | spl2_25 ),
    inference(avatar_split_clause,[],[f95,f345,f715,f663,f529]) ).

fof(f748,plain,
    ( spl2_78
    | spl2_94
    | spl2_104
    | spl2_22 ),
    inference(avatar_split_clause,[],[f96,f331,f730,f682,f610]) ).

fof(f749,plain,
    ( spl2_76
    | spl2_64
    | spl2_103
    | spl2_22 ),
    inference(avatar_split_clause,[],[f97,f331,f725,f544,f601]) ).

fof(f750,plain,
    ( spl2_83
    | spl2_97
    | spl2_105
    | spl2_31 ),
    inference(avatar_split_clause,[],[f98,f373,f736,f696,f632]) ).

fof(f751,plain,
    ( spl2_81
    | spl2_96
    | spl2_67
    | spl2_31 ),
    inference(avatar_split_clause,[],[f99,f373,f559,f691,f623]) ).

fof(f753,plain,
    ( spl2_86
    | spl2_99
    | spl2_106
    | spl2_58 ),
    inference(avatar_split_clause,[],[f101,f514,f741,f705,f645]) ).

fof(f754,plain,
    ( spl2_55
    | spl2_7
    | spl2_2
    | spl2_17 ),
    inference(avatar_split_clause,[],[f54,f308,f242,f264,f502]) ).

fof(f755,plain,
    ( spl2_59
    | spl2_74
    | spl2_79
    | spl2_84 ),
    inference(avatar_split_clause,[],[f55,f637,f615,f593,f519]) ).

fof(f756,plain,
    ( spl2_60
    | spl2_75
    | spl2_80
    | spl2_85 ),
    inference(avatar_split_clause,[],[f56,f641,f619,f597,f524]) ).

fof(f757,plain,
    ( spl2_61
    | spl2_76
    | spl2_81
    | spl2_86 ),
    inference(avatar_split_clause,[],[f57,f645,f623,f601,f529]) ).

fof(f758,plain,
    ( spl2_71
    | spl2_62
    | spl2_82
    | spl2_87 ),
    inference(avatar_split_clause,[],[f58,f650,f628,f534,f580]) ).

fof(f759,plain,
    ( spl2_12
    | spl2_56
    | spl2_5
    | spl2_19 ),
    inference(avatar_split_clause,[],[f59,f317,f255,f506,f286]) ).

fof(f760,plain,
    ( spl2_89
    | spl2_63
    | spl2_95
    | spl2_98 ),
    inference(avatar_split_clause,[],[f60,f701,f687,f539,f659]) ).

fof(f761,plain,
    ( spl2_90
    | spl2_64
    | spl2_96
    | spl2_99 ),
    inference(avatar_split_clause,[],[f61,f705,f691,f544,f663]) ).

fof(f762,plain,
    ( spl2_72
    | spl2_77
    | spl2_65
    | spl2_88 ),
    inference(avatar_split_clause,[],[f62,f654,f549,f606,f584]) ).

fof(f763,plain,
    ( spl2_91
    | spl2_93
    | spl2_66
    | spl2_100 ),
    inference(avatar_split_clause,[],[f63,f710,f554,f678,f668]) ).

fof(f764,plain,
    ( spl2_14
    | spl2_10
    | spl2_57
    | spl2_29 ),
    inference(avatar_split_clause,[],[f64,f363,f510,f277,f295]) ).

fof(f765,plain,
    ( spl2_101
    | spl2_103
    | spl2_67
    | spl2_106 ),
    inference(avatar_split_clause,[],[f65,f741,f559,f725,f715]) ).

fof(f766,plain,
    ( spl2_73
    | spl2_78
    | spl2_83
    | spl2_68 ),
    inference(avatar_split_clause,[],[f66,f564,f632,f610,f588]) ).

fof(f767,plain,
    ( spl2_92
    | spl2_94
    | spl2_97
    | spl2_69 ),
    inference(avatar_split_clause,[],[f67,f569,f696,f682,f672]) ).

fof(f768,plain,
    ( spl2_102
    | spl2_104
    | spl2_105
    | spl2_70 ),
    inference(avatar_split_clause,[],[f68,f574,f736,f730,f720]) ).

fof(f769,plain,
    ( spl2_25
    | spl2_22
    | spl2_31
    | spl2_58 ),
    inference(avatar_split_clause,[],[f69,f514,f373,f331,f345]) ).

fof(f770,plain,
    ( e1 = e2
    | ~ spl2_2
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f265,f243]) ).

fof(f771,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_7 ),
    inference(forward_subsumption_resolution,[],[f770,f152]) ).

fof(f772,plain,
    ( ~ spl2_2
    | ~ spl2_7 ),
    inference(avatar_contradiction_clause,[],[f771]) ).

fof(f774,plain,
    ( e0 = e2
    | ~ spl2_5
    | ~ spl2_12 ),
    inference(forward_demodulation,[],[f287,f256]) ).

fof(f775,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_12 ),
    inference(forward_subsumption_resolution,[],[f774,f154]) ).

fof(f776,plain,
    ( ~ spl2_5
    | ~ spl2_12 ),
    inference(avatar_contradiction_clause,[],[f775]) ).

fof(f785,plain,
    ( e2 = e3
    | ~ spl2_2
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f309,f243]) ).

fof(f786,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_17 ),
    inference(forward_subsumption_resolution,[],[f785,f150]) ).

fof(f787,plain,
    ( ~ spl2_2
    | ~ spl2_17 ),
    inference(avatar_contradiction_clause,[],[f786]) ).

fof(f790,plain,
    ( e2 = e3
    | ~ spl2_5
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f318,f256]) ).

fof(f791,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_19 ),
    inference(forward_subsumption_resolution,[],[f790,f150]) ).

fof(f792,plain,
    ( ~ spl2_5
    | ~ spl2_19 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f795,plain,
    ( e0 = e1
    | ~ spl2_22
    | ~ spl2_25 ),
    inference(superposition,[],[f346,f332]) ).

fof(f799,plain,
    ( $false
    | ~ spl2_22
    | ~ spl2_25 ),
    inference(forward_subsumption_resolution,[],[f795,f155]) ).

fof(f800,plain,
    ( ~ spl2_22
    | ~ spl2_25 ),
    inference(avatar_contradiction_clause,[],[f799]) ).

fof(f802,plain,
    ( e1 = e3
    | ~ spl2_10
    | ~ spl2_29 ),
    inference(superposition,[],[f364,f278]) ).

fof(f807,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_29 ),
    inference(forward_subsumption_resolution,[],[f802,f151]) ).

fof(f808,plain,
    ( ~ spl2_10
    | ~ spl2_29 ),
    inference(avatar_contradiction_clause,[],[f807]) ).

fof(f810,plain,
    ( e1 = e2
    | ~ spl2_22
    | ~ spl2_31 ),
    inference(superposition,[],[f374,f332]) ).

fof(f815,plain,
    ( $false
    | ~ spl2_22
    | ~ spl2_31 ),
    inference(forward_subsumption_resolution,[],[f810,f152]) ).

fof(f816,plain,
    ( ~ spl2_22
    | ~ spl2_31 ),
    inference(avatar_contradiction_clause,[],[f815]) ).

fof(f818,plain,
    ( e0 = e3
    | ~ spl2_17
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f504,f309]) ).

fof(f819,plain,
    ( $false
    | ~ spl2_17
    | ~ spl2_55 ),
    inference(forward_subsumption_resolution,[],[f818,f153]) ).

fof(f820,plain,
    ( ~ spl2_17
    | ~ spl2_55 ),
    inference(avatar_contradiction_clause,[],[f819]) ).

fof(f822,plain,
    ( e1 = e3
    | ~ spl2_19
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f508,f318]) ).

fof(f823,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_56 ),
    inference(forward_subsumption_resolution,[],[f822,f151]) ).

fof(f824,plain,
    ( ~ spl2_19
    | ~ spl2_56 ),
    inference(avatar_contradiction_clause,[],[f823]) ).

fof(f826,plain,
    ( e2 = e3
    | ~ spl2_29
    | ~ spl2_57 ),
    inference(superposition,[],[f512,f364]) ).

fof(f831,plain,
    ( $false
    | ~ spl2_29
    | ~ spl2_57 ),
    inference(forward_subsumption_resolution,[],[f826,f150]) ).

fof(f832,plain,
    ( ~ spl2_29
    | ~ spl2_57 ),
    inference(avatar_contradiction_clause,[],[f831]) ).

fof(f850,plain,
    ( e0 = e3
    | ~ spl2_14
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f296,f364]) ).

fof(f852,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_29 ),
    inference(forward_subsumption_resolution,[],[f850,f153]) ).

fof(f853,plain,
    ( ~ spl2_14
    | ~ spl2_29 ),
    inference(avatar_contradiction_clause,[],[f852]) ).

fof(f863,plain,
    ( e0 = e3
    | ~ spl2_12
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f287,f318]) ).

fof(f864,plain,
    ( $false
    | ~ spl2_12
    | ~ spl2_19 ),
    inference(forward_subsumption_resolution,[],[f863,f153]) ).

fof(f865,plain,
    ( ~ spl2_12
    | ~ spl2_19 ),
    inference(avatar_contradiction_clause,[],[f864]) ).

fof(f866,plain,
    ( e0 = e1
    | ~ spl2_61
    | ~ spl2_76 ),
    inference(forward_demodulation,[],[f603,f531]) ).

fof(f867,plain,
    ( $false
    | ~ spl2_61
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f866,f155]) ).

fof(f868,plain,
    ( ~ spl2_61
    | ~ spl2_76 ),
    inference(avatar_contradiction_clause,[],[f867]) ).

fof(f869,plain,
    ( e1 = e3
    | ~ spl2_7
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f265,f309]) ).

fof(f871,plain,
    ( $false
    | ~ spl2_7
    | ~ spl2_17 ),
    inference(forward_subsumption_resolution,[],[f869,f151]) ).

fof(f872,plain,
    ( ~ spl2_7
    | ~ spl2_17 ),
    inference(avatar_contradiction_clause,[],[f871]) ).

fof(f874,plain,
    ( e0 = e1
    | ~ spl2_60
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f599,f526]) ).

fof(f875,plain,
    ( $false
    | ~ spl2_60
    | ~ spl2_75 ),
    inference(forward_subsumption_resolution,[],[f874,f155]) ).

fof(f876,plain,
    ( ~ spl2_60
    | ~ spl2_75 ),
    inference(avatar_contradiction_clause,[],[f875]) ).

fof(f882,plain,
    ( e0 = e1
    | ~ spl2_72
    | ~ spl2_77 ),
    inference(forward_demodulation,[],[f608,f586]) ).

fof(f883,plain,
    ( $false
    | ~ spl2_72
    | ~ spl2_77 ),
    inference(forward_subsumption_resolution,[],[f882,f155]) ).

fof(f884,plain,
    ( ~ spl2_72
    | ~ spl2_77 ),
    inference(avatar_contradiction_clause,[],[f883]) ).

fof(f889,plain,
    ( e0 = e1
    | ~ spl2_73
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f612,f590]) ).

fof(f890,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f889,f155]) ).

fof(f891,plain,
    ( ~ spl2_73
    | ~ spl2_78 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f892,plain,
    ( e0 = e3
    | ~ spl2_25
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f346,f516]) ).

fof(f893,plain,
    ( $false
    | ~ spl2_25
    | ~ spl2_58 ),
    inference(forward_subsumption_resolution,[],[f892,f153]) ).

fof(f894,plain,
    ( ~ spl2_25
    | ~ spl2_58 ),
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f899,plain,
    ( e1 = e3
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f612,f566]) ).

fof(f900,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f899,f151]) ).

fof(f901,plain,
    ( ~ spl2_68
    | ~ spl2_78 ),
    inference(avatar_contradiction_clause,[],[f900]) ).

fof(f907,plain,
    ( e0 = e2
    | ~ spl2_59
    | ~ spl2_79 ),
    inference(superposition,[],[f617,f521]) ).

fof(f911,plain,
    ( $false
    | ~ spl2_59
    | ~ spl2_79 ),
    inference(forward_subsumption_resolution,[],[f907,f154]) ).

fof(f912,plain,
    ( ~ spl2_59
    | ~ spl2_79 ),
    inference(avatar_contradiction_clause,[],[f911]) ).

fof(f914,plain,
    ( e1 = e2
    | ~ spl2_75
    | ~ spl2_80 ),
    inference(superposition,[],[f621,f599]) ).

fof(f915,plain,
    ( e1 = e2
    | ~ spl2_75
    | ~ spl2_80 ),
    inference(superposition,[],[f599,f621]) ).

fof(f917,plain,
    ( $false
    | ~ spl2_75
    | ~ spl2_80 ),
    inference(forward_subsumption_resolution,[],[f915,f152]) ).

fof(f918,plain,
    ( ~ spl2_75
    | ~ spl2_80 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f919,plain,
    ( $false
    | ~ spl2_75
    | ~ spl2_80 ),
    inference(forward_subsumption_resolution,[],[f914,f152]) ).

fof(f920,plain,
    ( ~ spl2_75
    | ~ spl2_80 ),
    inference(avatar_contradiction_clause,[],[f919]) ).

fof(f921,plain,
    ( e0 = e2
    | ~ spl2_60
    | ~ spl2_80 ),
    inference(forward_demodulation,[],[f526,f621]) ).

fof(f923,plain,
    ( $false
    | ~ spl2_60
    | ~ spl2_80 ),
    inference(forward_subsumption_resolution,[],[f921,f154]) ).

fof(f924,plain,
    ( ~ spl2_60
    | ~ spl2_80 ),
    inference(avatar_contradiction_clause,[],[f923]) ).

fof(f930,plain,
    ( e1 = e2
    | ~ spl2_62
    | ~ spl2_82 ),
    inference(superposition,[],[f630,f536]) ).

fof(f932,plain,
    ( e1 = e2
    | ~ spl2_62
    | ~ spl2_82 ),
    inference(superposition,[],[f536,f630]) ).

fof(f933,plain,
    ( $false
    | ~ spl2_62
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f932,f152]) ).

fof(f934,plain,
    ( ~ spl2_62
    | ~ spl2_82 ),
    inference(avatar_contradiction_clause,[],[f933]) ).

fof(f935,plain,
    ( $false
    | ~ spl2_62
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f930,f152]) ).

fof(f936,plain,
    ( ~ spl2_62
    | ~ spl2_82 ),
    inference(avatar_contradiction_clause,[],[f935]) ).

fof(f947,plain,
    ( e1 = e3
    | ~ spl2_76
    | ~ spl2_86 ),
    inference(superposition,[],[f647,f603]) ).

fof(f952,plain,
    ( $false
    | ~ spl2_76
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f947,f151]) ).

fof(f953,plain,
    ( ~ spl2_76
    | ~ spl2_86 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f954,plain,
    ( e0 = e3
    | ~ spl2_59
    | ~ spl2_84 ),
    inference(superposition,[],[f639,f521]) ).

fof(f959,plain,
    ( $false
    | ~ spl2_59
    | ~ spl2_84 ),
    inference(forward_subsumption_resolution,[],[f954,f153]) ).

fof(f960,plain,
    ( ~ spl2_59
    | ~ spl2_84 ),
    inference(avatar_contradiction_clause,[],[f959]) ).

fof(f961,plain,
    ( e2 = e3
    | ~ spl2_80
    | ~ spl2_85 ),
    inference(forward_demodulation,[],[f643,f621]) ).

fof(f962,plain,
    ( $false
    | ~ spl2_80
    | ~ spl2_85 ),
    inference(forward_subsumption_resolution,[],[f961,f150]) ).

fof(f963,plain,
    ( ~ spl2_80
    | ~ spl2_85 ),
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f964,plain,
    ( e1 = e2
    | ~ spl2_10
    | ~ spl2_57 ),
    inference(superposition,[],[f512,f278]) ).

fof(f970,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_57 ),
    inference(forward_subsumption_resolution,[],[f964,f152]) ).

fof(f971,plain,
    ( ~ spl2_10
    | ~ spl2_57 ),
    inference(avatar_contradiction_clause,[],[f970]) ).

fof(f973,plain,
    ( e1 = e2
    | ~ spl2_67
    | ~ spl2_103 ),
    inference(forward_demodulation,[],[f727,f561]) ).

fof(f974,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_103 ),
    inference(forward_subsumption_resolution,[],[f973,f152]) ).

fof(f975,plain,
    ( ~ spl2_67
    | ~ spl2_103 ),
    inference(avatar_contradiction_clause,[],[f974]) ).

fof(f976,plain,
    ( e1 = e2
    | ~ spl2_76
    | ~ spl2_81 ),
    inference(superposition,[],[f625,f603]) ).

fof(f981,plain,
    ( $false
    | ~ spl2_76
    | ~ spl2_81 ),
    inference(forward_subsumption_resolution,[],[f976,f152]) ).

fof(f982,plain,
    ( ~ spl2_76
    | ~ spl2_81 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f989,plain,
    ( e2 = e3
    | ~ spl2_82
    | ~ spl2_87 ),
    inference(forward_demodulation,[],[f652,f630]) ).

fof(f990,plain,
    ( $false
    | ~ spl2_82
    | ~ spl2_87 ),
    inference(forward_subsumption_resolution,[],[f989,f150]) ).

fof(f991,plain,
    ( ~ spl2_82
    | ~ spl2_87 ),
    inference(avatar_contradiction_clause,[],[f990]) ).

fof(f1002,plain,
    ( e0 = e1
    | ~ spl2_63
    | ~ spl2_89 ),
    inference(superposition,[],[f661,f541]) ).

fof(f1006,plain,
    ( $false
    | ~ spl2_63
    | ~ spl2_89 ),
    inference(forward_subsumption_resolution,[],[f1002,f155]) ).

fof(f1007,plain,
    ( ~ spl2_63
    | ~ spl2_89 ),
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1009,plain,
    ( e1 = e3
    | ~ spl2_70
    | ~ spl2_104 ),
    inference(forward_demodulation,[],[f732,f576]) ).

fof(f1010,plain,
    ( $false
    | ~ spl2_70
    | ~ spl2_104 ),
    inference(forward_subsumption_resolution,[],[f1009,f151]) ).

fof(f1011,plain,
    ( ~ spl2_70
    | ~ spl2_104 ),
    inference(avatar_contradiction_clause,[],[f1010]) ).

fof(f1012,plain,
    ( e0 = e1
    | ~ spl2_64
    | ~ spl2_90 ),
    inference(superposition,[],[f665,f546]) ).

fof(f1016,plain,
    ( $false
    | ~ spl2_64
    | ~ spl2_90 ),
    inference(forward_subsumption_resolution,[],[f1012,f155]) ).

fof(f1017,plain,
    ( ~ spl2_64
    | ~ spl2_90 ),
    inference(avatar_contradiction_clause,[],[f1016]) ).

fof(f1035,plain,
    ( e0 = e1
    | ~ spl2_101
    | ~ spl2_103 ),
    inference(forward_demodulation,[],[f727,f717]) ).

fof(f1036,plain,
    ( $false
    | ~ spl2_101
    | ~ spl2_103 ),
    inference(forward_subsumption_resolution,[],[f1035,f155]) ).

fof(f1037,plain,
    ( ~ spl2_101
    | ~ spl2_103 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1038,plain,
    ( e0 = e2
    | ~ spl2_14
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f296,f512]) ).

fof(f1039,plain,
    ( e0 = e3
    | ~ spl2_90
    | ~ spl2_99 ),
    inference(forward_demodulation,[],[f665,f707]) ).

fof(f1040,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_57 ),
    inference(forward_subsumption_resolution,[],[f1038,f154]) ).

fof(f1041,plain,
    ( ~ spl2_14
    | ~ spl2_57 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1042,plain,
    ( $false
    | ~ spl2_90
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f1039,f153]) ).

fof(f1043,plain,
    ( ~ spl2_90
    | ~ spl2_99 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1047,plain,
    ( e2 = e3
    | ~ spl2_65
    | ~ spl2_88 ),
    inference(superposition,[],[f551,f656]) ).

fof(f1051,plain,
    ( $false
    | ~ spl2_65
    | ~ spl2_88 ),
    inference(forward_subsumption_resolution,[],[f1047,f150]) ).

fof(f1052,plain,
    ( ~ spl2_65
    | ~ spl2_88 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1058,plain,
    ( e0 = e3
    | ~ spl2_89
    | ~ spl2_98 ),
    inference(superposition,[],[f703,f661]) ).

fof(f1062,plain,
    ( $false
    | ~ spl2_89
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f1058,f153]) ).

fof(f1063,plain,
    ( ~ spl2_89
    | ~ spl2_98 ),
    inference(avatar_contradiction_clause,[],[f1062]) ).

fof(f1077,plain,
    ( e0 = e3
    | ~ spl2_60
    | ~ spl2_85 ),
    inference(forward_demodulation,[],[f526,f643]) ).

fof(f1079,plain,
    ( e1 = e3
    | ~ spl2_77
    | ~ spl2_88 ),
    inference(forward_demodulation,[],[f608,f656]) ).

fof(f1080,plain,
    ( e2 = e3
    | ~ spl2_66
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f712,f556]) ).

fof(f1081,plain,
    ( $false
    | ~ spl2_60
    | ~ spl2_85 ),
    inference(forward_subsumption_resolution,[],[f1077,f153]) ).

fof(f1082,plain,
    ( ~ spl2_60
    | ~ spl2_85 ),
    inference(avatar_contradiction_clause,[],[f1081]) ).

fof(f1085,plain,
    ( $false
    | ~ spl2_77
    | ~ spl2_88 ),
    inference(forward_subsumption_resolution,[],[f1079,f151]) ).

fof(f1086,plain,
    ( ~ spl2_77
    | ~ spl2_88 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1087,plain,
    ( $false
    | ~ spl2_66
    | ~ spl2_100 ),
    inference(forward_subsumption_resolution,[],[f1080,f150]) ).

fof(f1088,plain,
    ( ~ spl2_66
    | ~ spl2_100 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1098,plain,
    ( e1 = e3
    | ~ spl2_22
    | ~ spl2_58 ),
    inference(superposition,[],[f516,f332]) ).

fof(f1104,plain,
    ( $false
    | ~ spl2_22
    | ~ spl2_58 ),
    inference(forward_subsumption_resolution,[],[f1098,f151]) ).

fof(f1105,plain,
    ( ~ spl2_22
    | ~ spl2_58 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

fof(f1126,plain,
    ( e1 != op(e3,e0)
    | ~ spl2_22 ),
    inference(forward_demodulation,[],[f105,f332]) ).

fof(f1128,plain,
    ( e2 != op(e3,e0)
    | ~ spl2_105 ),
    inference(forward_demodulation,[],[f106,f738]) ).

fof(f1129,plain,
    ( e3 != op(e3,e0)
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f107,f571]) ).

fof(f1130,plain,
    ( e0 != op(e2,e2)
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f108,f717]) ).

fof(f1131,plain,
    ( e0 != op(e2,e1)
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f109,f717]) ).

fof(f1137,plain,
    ( e1 != op(e2,e0)
    | ~ spl2_10 ),
    inference(forward_demodulation,[],[f112,f278]) ).

fof(f1139,plain,
    ( e2 != op(e2,e0)
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f113,f556]) ).

fof(f1140,plain,
    ( e3 != op(e1,e2)
    | ~ spl2_99 ),
    inference(forward_demodulation,[],[f114,f707]) ).

fof(f1142,plain,
    ( e0 != op(e1,e1)
    | ~ spl2_89 ),
    inference(forward_demodulation,[],[f116,f661]) ).

fof(f1145,plain,
    ( e0 != op(e1,e0)
    | ~ spl2_89 ),
    inference(forward_demodulation,[],[f118,f661]) ).

fof(f1147,plain,
    ( e1 != op(e1,e0)
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f119,f508]) ).

fof(f1150,plain,
    ( e2 != op(e0,e1)
    | ~ spl2_81 ),
    inference(forward_demodulation,[],[f121,f625]) ).

fof(f1151,plain,
    ( e3 != op(e0,e1)
    | ~ spl2_85 ),
    inference(forward_demodulation,[],[f122,f643]) ).

fof(f1153,plain,
    ( op(e0,e0) != e3
    | ~ spl2_85 ),
    inference(forward_demodulation,[],[f124,f643]) ).

fof(f1154,plain,
    ( e0 != op(e0,e0)
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f125,f521]) ).

fof(f1155,plain,
    ( e1 != op(e2,e3)
    | ~ spl2_22 ),
    inference(forward_demodulation,[],[f126,f332]) ).

fof(f1157,plain,
    ( e1 != op(e1,e3)
    | ~ spl2_22 ),
    inference(forward_demodulation,[],[f127,f332]) ).

fof(f1158,plain,
    ( e0 != op(e1,e3)
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f128,f717]) ).

fof(f1161,plain,
    ( e0 != op(e0,e3)
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f130,f717]) ).

fof(f1164,plain,
    ( e2 != op(e2,e2)
    | ~ spl2_105 ),
    inference(forward_demodulation,[],[f132,f738]) ).

fof(f1165,plain,
    ( e2 != op(e1,e2)
    | ~ spl2_105 ),
    inference(forward_demodulation,[],[f133,f738]) ).

fof(f1166,plain,
    ( ~ spl2_95
    | ~ spl2_105 ),
    inference(avatar_split_clause,[],[f1165,f736,f687]) ).

fof(f1170,plain,
    ( e1 != op(e0,e2)
    | ~ spl2_10 ),
    inference(forward_demodulation,[],[f136,f278]) ).

fof(f1173,plain,
    ( e3 != op(e2,e1)
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f138,f571]) ).

fof(f1175,plain,
    ( e3 != op(e1,e1)
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f139,f571]) ).

fof(f1176,plain,
    ( e2 != op(e1,e1)
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f140,f556]) ).

fof(f1177,plain,
    ( e3 != op(e0,e1)
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f141,f571]) ).

fof(f1178,plain,
    ( e2 != op(e0,e1)
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f142,f556]) ).

fof(f1179,plain,
    ( e1 != op(e0,e1)
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f143,f508]) ).

fof(f1181,plain,
    ( e0 != op(e2,e0)
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f144,f590]) ).

fof(f1185,plain,
    ( e3 != op(e1,e0)
    | ~ spl2_88 ),
    inference(forward_demodulation,[],[f146,f656]) ).

fof(f1188,plain,
    ( op(e0,e0) != e3
    | ~ spl2_88 ),
    inference(forward_demodulation,[],[f148,f656]) ).

fof(f1190,plain,
    ( e3 != op(e1,e1)
    | spl2_1
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f240,f265]) ).

fof(f1192,plain,
    ( e2 != op(e1,e1)
    | ~ spl2_7
    | spl2_16 ),
    inference(forward_demodulation,[],[f306,f265]) ).

fof(f1194,plain,
    ( e2 != op(e1,e1)
    | spl2_21
    | ~ spl2_22 ),
    inference(forward_demodulation,[],[f329,f332]) ).

fof(f1200,plain,
    ( e0 != op(e1,e1)
    | ~ spl2_22
    | spl2_36 ),
    inference(forward_demodulation,[],[f401,f332]) ).

fof(f1201,plain,
    ( e2 != op(e3,e2)
    | spl2_38
    | ~ spl2_81 ),
    inference(forward_demodulation,[],[f412,f625]) ).

fof(f1206,plain,
    ( e3 != op(e1,e3)
    | spl2_52
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f480,f571]) ).

fof(f1212,plain,
    ( e0 != op(e3,e0)
    | spl2_47
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f456,f717]) ).

fof(f1214,plain,
    ( e2 != op(e1,e2)
    | spl2_50
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f470,f556]) ).

fof(f1215,plain,
    ( e3 != op(e0,e3)
    | spl2_51
    | ~ spl2_88 ),
    inference(forward_demodulation,[],[f475,f656]) ).

fof(f1222,plain,
    ( e0 != op(e2,e0)
    | spl2_44
    | ~ spl2_89 ),
    inference(forward_demodulation,[],[f441,f661]) ).

fof(f1223,plain,
    ( e1 != op(e1,e1)
    | spl2_45
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f446,f508]) ).

fof(f1224,plain,
    ( e2 != op(e0,e2)
    | spl2_46
    | ~ spl2_82 ),
    inference(forward_demodulation,[],[f451,f630]) ).

fof(f1227,plain,
    ( $false
    | spl2_45
    | ~ spl2_56 ),
    inference(forward_subsumption_resolution,[],[f1223,f508]) ).

fof(f1228,plain,
    ( spl2_45
    | ~ spl2_56 ),
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1231,plain,
    ( ~ spl2_99
    | spl2_52
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1206,f569,f478,f705]) ).

fof(f1233,plain,
    ( ~ spl2_103
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f1155,f331,f725]) ).

fof(f1234,plain,
    ( e2 != op(e2,e3)
    | ~ spl2_81 ),
    inference(forward_demodulation,[],[f130,f625]) ).

fof(f1235,plain,
    ( e1 != op(e1,e3)
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f115,f508]) ).

fof(f1236,plain,
    ( e2 != op(e1,e3)
    | ~ spl2_81 ),
    inference(forward_demodulation,[],[f131,f625]) ).

fof(f1237,plain,
    ( e1 != op(e1,e2)
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f116,f508]) ).

fof(f1238,plain,
    ( e3 != op(e1,e2)
    | ~ spl2_85 ),
    inference(forward_demodulation,[],[f137,f643]) ).

fof(f1239,plain,
    ( ~ spl2_72
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f1181,f588,f584]) ).

fof(f1240,plain,
    ( e1 != op(e2,e0)
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f148,f265]) ).

fof(f1241,plain,
    ( ~ spl2_62
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f1147,f506,f534]) ).

fof(f1243,plain,
    ( e1 != op(e1,e0)
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f149,f265]) ).

fof(f1244,plain,
    ( ~ spl2_65
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f1139,f554,f549]) ).

fof(f1245,plain,
    ( e2 != op(e2,e2)
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f110,f556]) ).

fof(f1247,plain,
    ( ~ spl2_96
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f1236,f623,f691]) ).

fof(f1248,plain,
    ( ~ spl2_63
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f1237,f506,f539]) ).

fof(f1249,plain,
    ( ~ spl2_77
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f1240,f264,f606]) ).

fof(f1250,plain,
    ( ~ spl2_62
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f1243,f264,f534]) ).

fof(f1252,plain,
    ( ~ spl2_100
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1173,f569,f710]) ).

fof(f1253,plain,
    ( e0 != op(e2,e1)
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f142,f521]) ).

fof(f1254,plain,
    ( ~ spl2_57
    | ~ spl2_105 ),
    inference(avatar_split_clause,[],[f1164,f736,f510]) ).

fof(f1256,plain,
    ( e0 != op(e1,e1)
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f143,f521]) ).

fof(f1258,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_16 ),
    inference(avatar_split_clause,[],[f1192,f304,f264,f255]) ).

fof(f1259,plain,
    ( ~ spl2_5
    | spl2_21
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f1194,f331,f327,f255]) ).

fof(f1262,plain,
    ( ~ spl2_91
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f1253,f519,f668]) ).

fof(f1264,plain,
    ( e1 = e3
    | ~ spl2_75
    | ~ spl2_85 ),
    inference(forward_demodulation,[],[f599,f643]) ).

fof(f1266,plain,
    ( e3 != op(e3,e2)
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f104,f571]) ).

fof(f1270,plain,
    ( ~ spl2_84
    | ~ spl2_85 ),
    inference(avatar_split_clause,[],[f1151,f641,f637]) ).

fof(f1271,plain,
    ( ~ spl2_84
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1177,f569,f637]) ).

fof(f1272,plain,
    ( e3 != op(e3,e3)
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f103,f571]) ).

fof(f1274,plain,
    ( e2 != op(e3,e3)
    | ~ spl2_81 ),
    inference(forward_demodulation,[],[f129,f625]) ).

fof(f1275,plain,
    ( ~ spl2_17
    | ~ spl2_85 ),
    inference(avatar_split_clause,[],[f1153,f641,f308]) ).

fof(f1278,plain,
    ( $false
    | ~ spl2_75
    | ~ spl2_85 ),
    inference(forward_subsumption_resolution,[],[f1264,f151]) ).

fof(f1279,plain,
    ( ~ spl2_75
    | ~ spl2_85 ),
    inference(avatar_contradiction_clause,[],[f1278]) ).

fof(f1282,plain,
    ( ~ spl2_70
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1266,f569,f574]) ).

fof(f1285,plain,
    ( ~ spl2_31
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f1274,f623,f373]) ).

fof(f1308,plain,
    ( e1 = e2
    | ~ spl2_65
    | ~ spl2_77 ),
    inference(forward_demodulation,[],[f608,f551]) ).

fof(f1309,plain,
    ( $false
    | ~ spl2_65
    | ~ spl2_77 ),
    inference(forward_subsumption_resolution,[],[f1308,f152]) ).

fof(f1310,plain,
    ( ~ spl2_65
    | ~ spl2_77 ),
    inference(avatar_contradiction_clause,[],[f1309]) ).

fof(f1315,plain,
    ( ~ spl2_90
    | ~ spl2_101 ),
    inference(avatar_split_clause,[],[f1158,f715,f663]) ).

fof(f1318,plain,
    ( ~ spl2_91
    | ~ spl2_101 ),
    inference(avatar_split_clause,[],[f1131,f715,f668]) ).

fof(f1322,plain,
    ( ~ spl2_61
    | ~ spl2_101 ),
    inference(avatar_split_clause,[],[f1161,f715,f529]) ).

fof(f1354,plain,
    ( e1 = e3
    | ~ spl2_63
    | ~ spl2_98 ),
    inference(superposition,[],[f703,f541]) ).

fof(f1360,plain,
    ( $false
    | ~ spl2_63
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f1354,f151]) ).

fof(f1361,plain,
    ( ~ spl2_63
    | ~ spl2_98 ),
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1362,plain,
    ( ~ spl2_19
    | spl2_1
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f1190,f264,f238,f317]) ).

fof(f1363,plain,
    ( e3 = op(e1,e1)
    | ~ spl2_1
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f239,f265]) ).

fof(f1364,plain,
    ( spl2_19
    | ~ spl2_1
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f1363,f264,f238,f317]) ).

fof(f1370,plain,
    ( e1 = e2
    | ~ spl2_64
    | ~ spl2_96 ),
    inference(superposition,[],[f546,f693]) ).

fof(f1371,plain,
    ( $false
    | ~ spl2_64
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f1370,f152]) ).

fof(f1372,plain,
    ( ~ spl2_64
    | ~ spl2_96 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1383,plain,
    ( ~ spl2_105
    | spl2_38
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f1201,f623,f410,f736]) ).

fof(f1391,plain,
    ( e2 = e3
    | ~ spl2_81
    | ~ spl2_86 ),
    inference(superposition,[],[f625,f647]) ).

fof(f1397,plain,
    ( $false
    | ~ spl2_81
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f1391,f150]) ).

fof(f1398,plain,
    ( ~ spl2_81
    | ~ spl2_86 ),
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1399,plain,
    ( e2 = e3
    | ~ spl2_95
    | ~ spl2_98 ),
    inference(forward_demodulation,[],[f703,f689]) ).

fof(f1400,plain,
    ( $false
    | ~ spl2_95
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f1399,f150]) ).

fof(f1401,plain,
    ( ~ spl2_95
    | ~ spl2_98 ),
    inference(avatar_contradiction_clause,[],[f1400]) ).

fof(f1403,plain,
    ( ~ spl2_55
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f1154,f519,f502]) ).

fof(f1404,plain,
    ( ~ spl2_67
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f1234,f623,f559]) ).

fof(f1415,plain,
    ( e2 = e3
    | ~ spl2_68
    | ~ spl2_83 ),
    inference(superposition,[],[f634,f566]) ).

fof(f1419,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_83 ),
    inference(forward_subsumption_resolution,[],[f1415,f150]) ).

fof(f1420,plain,
    ( ~ spl2_68
    | ~ spl2_83 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1421,plain,
    ( e0 = e2
    | ~ spl2_89
    | ~ spl2_95 ),
    inference(forward_demodulation,[],[f661,f689]) ).

fof(f1424,plain,
    ( ~ spl2_71
    | ~ spl2_89 ),
    inference(avatar_split_clause,[],[f1145,f659,f580]) ).

fof(f1425,plain,
    ( $false
    | ~ spl2_89
    | ~ spl2_95 ),
    inference(forward_subsumption_resolution,[],[f1421,f154]) ).

fof(f1426,plain,
    ( ~ spl2_89
    | ~ spl2_95 ),
    inference(avatar_contradiction_clause,[],[f1425]) ).

fof(f1427,plain,
    ( ~ spl2_98
    | ~ spl2_85 ),
    inference(avatar_split_clause,[],[f1238,f641,f701]) ).

fof(f1450,plain,
    ( e1 = e3
    | ~ spl2_93
    | ~ spl2_100 ),
    inference(superposition,[],[f712,f680]) ).

fof(f1456,plain,
    ( $false
    | ~ spl2_93
    | ~ spl2_100 ),
    inference(forward_subsumption_resolution,[],[f1450,f151]) ).

fof(f1457,plain,
    ( ~ spl2_93
    | ~ spl2_100 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1460,plain,
    ( e0 = e1
    | ~ spl2_102
    | ~ spl2_104 ),
    inference(forward_demodulation,[],[f732,f722]) ).

fof(f1461,plain,
    ( $false
    | ~ spl2_102
    | ~ spl2_104 ),
    inference(forward_subsumption_resolution,[],[f1460,f155]) ).

fof(f1462,plain,
    ( ~ spl2_102
    | ~ spl2_104 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1470,plain,
    ( e0 != op(e3,e1)
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f103,f346]) ).

fof(f1476,plain,
    ( e1 != op(e3,e0)
    | ~ spl2_104 ),
    inference(forward_demodulation,[],[f106,f732]) ).

fof(f1478,plain,
    ( e2 != op(e3,e0)
    | ~ spl2_97 ),
    inference(forward_demodulation,[],[f107,f698]) ).

fof(f1480,plain,
    ( e3 != op(e2,e1)
    | ~ spl2_106 ),
    inference(forward_demodulation,[],[f109,f743]) ).

fof(f1482,plain,
    ( e3 != op(e2,e0)
    | ~ spl2_106 ),
    inference(forward_demodulation,[],[f111,f743]) ).

fof(f1483,plain,
    ( e2 != op(e2,e0)
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f112,f512]) ).

fof(f1484,plain,
    ( e1 != op(e2,e0)
    | ~ spl2_93 ),
    inference(forward_demodulation,[],[f113,f680]) ).

fof(f1486,plain,
    ( e1 != op(e1,e2)
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f114,f546]) ).

fof(f1490,plain,
    ( e1 != op(e1,e0)
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f117,f546]) ).

fof(f1492,plain,
    ( e3 != op(e1,e0)
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f119,f318]) ).

fof(f1499,plain,
    ( e0 != op(e2,e3)
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f126,f346]) ).

fof(f1501,plain,
    ( e3 != op(e1,e3)
    | ~ spl2_106 ),
    inference(forward_demodulation,[],[f128,f743]) ).

fof(f1502,plain,
    ( e0 != op(e0,e3)
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f129,f346]) ).

fof(f1503,plain,
    ( e3 != op(e0,e3)
    | ~ spl2_106 ),
    inference(forward_demodulation,[],[f130,f743]) ).

fof(f1505,plain,
    ( e1 != op(e0,e3)
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f131,f546]) ).

fof(f1506,plain,
    ( e1 != op(e2,e2)
    | ~ spl2_104 ),
    inference(forward_demodulation,[],[f132,f732]) ).

fof(f1508,plain,
    ( e2 != op(e1,e2)
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f134,f512]) ).

fof(f1510,plain,
    ( e2 != op(e0,e2)
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f136,f512]) ).

fof(f1512,plain,
    ( e2 != op(e2,e1)
    | ~ spl2_97 ),
    inference(forward_demodulation,[],[f138,f698]) ).

fof(f1513,plain,
    ( e2 != op(e1,e1)
    | ~ spl2_97 ),
    inference(forward_demodulation,[],[f139,f698]) ).

fof(f1514,plain,
    ( e1 != op(e1,e1)
    | ~ spl2_93 ),
    inference(forward_demodulation,[],[f140,f680]) ).

fof(f1520,plain,
    ( e3 != op(e2,e0)
    | ~ spl2_68 ),
    inference(forward_demodulation,[],[f144,f566]) ).

fof(f1521,plain,
    ( e3 != op(e1,e0)
    | ~ spl2_68 ),
    inference(forward_demodulation,[],[f145,f566]) ).

fof(f1523,plain,
    ( op(e0,e0) != e3
    | ~ spl2_68 ),
    inference(forward_demodulation,[],[f147,f566]) ).

fof(f1526,plain,
    ( e3 != op(e3,e3)
    | spl2_4
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f253,f318]) ).

fof(f1531,plain,
    ( e2 != op(e3,e3)
    | spl2_18
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f315,f318]) ).

fof(f1534,plain,
    ( e0 != op(e3,e3)
    | ~ spl2_19
    | spl2_34 ),
    inference(forward_demodulation,[],[f390,f318]) ).

fof(f1535,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_25
    | spl2_34 ),
    inference(forward_subsumption_resolution,[],[f1534,f346]) ).

fof(f1536,plain,
    ( ~ spl2_19
    | ~ spl2_25
    | spl2_34 ),
    inference(avatar_contradiction_clause,[],[f1535]) ).

fof(f1537,plain,
    ( e2 != op(e1,op(e3,e3))
    | spl2_13
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f292,f318]) ).

fof(f1539,plain,
    ( e2 != op(e1,e0)
    | spl2_13
    | ~ spl2_19
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f1537,f346]) ).

fof(f1540,plain,
    ( $false
    | spl2_13
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f1539,f630]) ).

fof(f1541,plain,
    ( spl2_13
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_82 ),
    inference(avatar_contradiction_clause,[],[f1540]) ).

fof(f1548,plain,
    ( ~ spl2_64
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f1157,f331,f544]) ).

fof(f1552,plain,
    ( ~ spl2_78
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f1126,f331,f610]) ).

fof(f1553,plain,
    ( ~ spl2_64
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f1235,f506,f544]) ).

fof(f1556,plain,
    ( ~ spl2_95
    | spl2_50
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f1214,f554,f468,f687]) ).

fof(f1557,plain,
    ( ~ spl2_57
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f1245,f554,f510]) ).

fof(f1558,plain,
    ( ~ spl2_68
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1129,f569,f564]) ).

fof(f1559,plain,
    ( ~ spl2_19
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1175,f569,f317]) ).

fof(f1561,plain,
    ( e1 != op(e3,e1)
    | ~ spl2_93 ),
    inference(forward_demodulation,[],[f138,f680]) ).

fof(f1562,plain,
    ( e0 != op(e3,e1)
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f141,f521]) ).

fof(f1566,plain,
    ( e1 != op(e3,e0)
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f147,f265]) ).

fof(f1571,plain,
    ( e3 != op(e3,e3)
    | ~ spl2_106 ),
    inference(forward_demodulation,[],[f126,f743]) ).

fof(f1573,plain,
    ( ~ spl2_56
    | ~ spl2_93 ),
    inference(avatar_split_clause,[],[f1514,f678,f506]) ).

fof(f1575,plain,
    ( ~ spl2_94
    | ~ spl2_93 ),
    inference(avatar_split_clause,[],[f1561,f678,f682]) ).

fof(f1576,plain,
    ( ~ spl2_92
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f1562,f519,f672]) ).

fof(f1577,plain,
    ( ~ spl2_78
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f1566,f264,f610]) ).

fof(f1616,plain,
    ( e0 != op(e3,e1)
    | ~ spl2_102 ),
    inference(forward_demodulation,[],[f104,f722]) ).

fof(f1624,plain,
    ( e0 != op(e1,e1)
    | ~ spl2_90 ),
    inference(forward_demodulation,[],[f115,f665]) ).

fof(f1626,plain,
    ( e0 != op(e1,e0)
    | ~ spl2_90 ),
    inference(forward_demodulation,[],[f117,f665]) ).

fof(f1636,plain,
    ( e2 != op(e1,e0)
    | ~ spl2_83 ),
    inference(forward_demodulation,[],[f145,f634]) ).

fof(f1647,plain,
    ( e3 != op(e2,e3)
    | spl2_39
    | ~ spl2_85 ),
    inference(forward_demodulation,[],[f417,f643]) ).

fof(f1651,plain,
    ( e0 != op(e1,e0)
    | spl2_40
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f422,f521]) ).

fof(f1654,plain,
    ( e0 != op(e3,e0)
    | spl2_43
    | ~ spl2_90 ),
    inference(forward_demodulation,[],[f436,f665]) ).

fof(f1660,plain,
    ( e3 != op(e0,e3)
    | spl2_46
    | ~ spl2_87 ),
    inference(forward_demodulation,[],[f451,f652]) ).

fof(f1663,plain,
    ( e2 != op(e0,e2)
    | spl2_48
    | ~ spl2_83 ),
    inference(forward_demodulation,[],[f460,f634]) ).

fof(f1669,plain,
    ( e0 != op(e2,e0)
    | spl2_53
    | ~ spl2_102 ),
    inference(forward_demodulation,[],[f488,f722]) ).

fof(f1673,plain,
    ( ~ spl2_92
    | ~ spl2_25 ),
    inference(avatar_split_clause,[],[f1470,f345,f672]) ).

fof(f1676,plain,
    ( ~ spl2_87
    | ~ spl2_68 ),
    inference(avatar_split_clause,[],[f1521,f564,f650]) ).

fof(f1677,plain,
    ( ~ spl2_83
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f1478,f696,f632]) ).

fof(f1678,plain,
    ( ~ spl2_66
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f1512,f696,f554]) ).

fof(f1680,plain,
    ( ~ spl2_10
    | ~ spl2_104 ),
    inference(avatar_split_clause,[],[f1506,f730,f277]) ).

fof(f1682,plain,
    ( ~ spl2_100
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f1480,f741,f710]) ).

fof(f1685,plain,
    ( e1 != op(e0,e2)
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f124,f265]) ).

fof(f1686,plain,
    ( e0 != op(e0,e3)
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f121,f521]) ).

fof(f1688,plain,
    ( ~ spl2_86
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f1503,f741,f645]) ).

fof(f1691,plain,
    ( ~ spl2_71
    | ~ spl2_90 ),
    inference(avatar_split_clause,[],[f1626,f663,f580]) ).

fof(f1692,plain,
    ( ~ spl2_71
    | spl2_40
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f1651,f519,f420,f580]) ).

fof(f1693,plain,
    ( e1 != op(e3,e1)
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f139,f508]) ).

fof(f1695,plain,
    ( e0 != op(e3,e3)
    | ~ spl2_90 ),
    inference(forward_demodulation,[],[f127,f665]) ).

fof(f1698,plain,
    ( ~ spl2_94
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f1693,f506,f682]) ).

fof(f1699,plain,
    ( ~ spl2_25
    | ~ spl2_90 ),
    inference(avatar_split_clause,[],[f1695,f663,f345]) ).

fof(f1748,plain,
    ( e1 != op(e2,e2)
    | ~ spl2_103 ),
    inference(forward_demodulation,[],[f108,f727]) ).

fof(f1750,plain,
    ( e0 != op(e2,e1)
    | ~ spl2_14 ),
    inference(forward_demodulation,[],[f110,f296]) ).

fof(f1751,plain,
    ( e1 != op(e2,e0)
    | ~ spl2_103 ),
    inference(forward_demodulation,[],[f111,f727]) ).

fof(f1756,plain,
    ( e2 != op(e1,e2)
    | ~ spl2_96 ),
    inference(forward_demodulation,[],[f114,f693]) ).

fof(f1757,plain,
    ( e2 != op(e1,e0)
    | ~ spl2_96 ),
    inference(forward_demodulation,[],[f117,f693]) ).

fof(f1758,plain,
    ( e3 != op(e1,e0)
    | ~ spl2_98 ),
    inference(forward_demodulation,[],[f118,f703]) ).

fof(f1759,plain,
    ( e3 != op(e0,e2)
    | ~ spl2_86 ),
    inference(forward_demodulation,[],[f120,f647]) ).

fof(f1765,plain,
    ( e1 != op(e0,e3)
    | ~ spl2_103 ),
    inference(forward_demodulation,[],[f130,f727]) ).

fof(f1769,plain,
    ( e0 != op(e1,e2)
    | ~ spl2_14 ),
    inference(forward_demodulation,[],[f134,f296]) ).

fof(f1771,plain,
    ( e0 != op(e0,e2)
    | ~ spl2_14 ),
    inference(forward_demodulation,[],[f136,f296]) ).

fof(f1777,plain,
    ( e2 != op(e1,e0)
    | ~ spl2_65 ),
    inference(forward_demodulation,[],[f146,f551]) ).

fof(f1786,plain,
    ( e2 != op(e3,e2)
    | spl2_43
    | ~ spl2_96 ),
    inference(forward_demodulation,[],[f436,f693]) ).

fof(f1787,plain,
    ( e3 != op(e2,e3)
    | spl2_44
    | ~ spl2_98 ),
    inference(forward_demodulation,[],[f441,f703]) ).

fof(f1789,plain,
    ( e1 != op(e3,e1)
    | spl2_47
    | ~ spl2_103 ),
    inference(forward_demodulation,[],[f456,f727]) ).

fof(f1790,plain,
    ( e3 != op(e0,e3)
    | spl2_48
    | ~ spl2_68 ),
    inference(forward_demodulation,[],[f460,f566]) ).

fof(f1791,plain,
    ( $false
    | spl2_48
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f1790,f647]) ).

fof(f1792,plain,
    ( spl2_48
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(avatar_contradiction_clause,[],[f1791]) ).

fof(f1796,plain,
    ( e3 != op(e1,e3)
    | spl2_50
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f470,f712]) ).

fof(f1797,plain,
    ( e2 != op(e0,e2)
    | spl2_51
    | ~ spl2_65 ),
    inference(forward_demodulation,[],[f475,f551]) ).

fof(f1800,plain,
    ( ~ spl2_77
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f1137,f277,f606]) ).

fof(f1803,plain,
    ( ~ spl2_72
    | spl2_53
    | ~ spl2_102 ),
    inference(avatar_split_clause,[],[f1669,f720,f486,f584]) ).

fof(f1805,plain,
    ( ~ spl2_17
    | ~ spl2_88 ),
    inference(avatar_split_clause,[],[f1188,f654,f308]) ).

fof(f1807,plain,
    ( ~ spl2_92
    | ~ spl2_102 ),
    inference(avatar_split_clause,[],[f1616,f720,f672]) ).

fof(f1808,plain,
    ( e3 != op(e3,e2)
    | ~ spl2_98 ),
    inference(forward_demodulation,[],[f133,f703]) ).

fof(f1809,plain,
    ( e2 != op(e3,e2)
    | ~ spl2_80 ),
    inference(forward_demodulation,[],[f135,f621]) ).

fof(f1811,plain,
    ( ~ spl2_77
    | ~ spl2_103 ),
    inference(avatar_split_clause,[],[f1751,f725,f606]) ).

fof(f1812,plain,
    ( e0 != op(e2,e0)
    | ~ spl2_71 ),
    inference(forward_demodulation,[],[f146,f582]) ).

fof(f1813,plain,
    ( ~ spl2_74
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f1179,f506,f593]) ).

fof(f1816,plain,
    ( e3 != op(e0,e1)
    | ~ spl2_86 ),
    inference(forward_demodulation,[],[f121,f647]) ).

fof(f1818,plain,
    ( e2 != op(e3,e3)
    | ~ spl2_96 ),
    inference(forward_demodulation,[],[f127,f693]) ).

fof(f1820,plain,
    ( e3 != op(e2,e2)
    | ~ spl2_98 ),
    inference(forward_demodulation,[],[f134,f703]) ).

fof(f1822,plain,
    ( ~ spl2_10
    | ~ spl2_103 ),
    inference(avatar_split_clause,[],[f1748,f725,f277]) ).

fof(f1823,plain,
    ( e0 != op(e0,e0)
    | ~ spl2_71 ),
    inference(forward_demodulation,[],[f149,f582]) ).

fof(f1828,plain,
    ( ~ spl2_70
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f1808,f701,f574]) ).

fof(f1829,plain,
    ( ~ spl2_72
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f1812,f580,f584]) ).

fof(f1830,plain,
    ( ~ spl2_84
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1816,f645,f637]) ).

fof(f1831,plain,
    ( ~ spl2_31
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f1818,f691,f373]) ).

fof(f1840,plain,
    ( ~ spl2_14
    | ~ spl2_101 ),
    inference(avatar_split_clause,[],[f1130,f715,f295]) ).

fof(f1843,plain,
    ( ~ spl2_65
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f1483,f510,f549]) ).

fof(f1844,plain,
    ( ~ spl2_80
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f1510,f510,f619]) ).

fof(f1845,plain,
    ( ~ spl2_88
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f1482,f741,f654]) ).

fof(f1896,plain,
    ( e0 != op(e0,e2)
    | ~ spl2_61 ),
    inference(forward_demodulation,[],[f120,f531]) ).

fof(f1898,plain,
    ( e1 != op(e0,e1)
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f122,f599]) ).

fof(f1899,plain,
    ( e0 != op(e0,e0)
    | ~ spl2_61 ),
    inference(forward_demodulation,[],[f123,f531]) ).

fof(f1906,plain,
    ( e0 != op(e0,e2)
    | ~ spl2_102 ),
    inference(forward_demodulation,[],[f135,f722]) ).

fof(f1912,plain,
    ( e2 != op(e2,e0)
    | ~ spl2_83 ),
    inference(forward_demodulation,[],[f144,f634]) ).

fof(f1915,plain,
    ( e3 != op(e3,e3)
    | spl2_1
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f240,f309]) ).

fof(f1916,plain,
    ( e2 != op(e3,e3)
    | spl2_16
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f306,f309]) ).

fof(f1920,plain,
    ( e0 != op(e3,e0)
    | spl2_38
    | ~ spl2_61 ),
    inference(forward_demodulation,[],[f412,f531]) ).

fof(f1921,plain,
    ( e1 != op(e2,e1)
    | spl2_39
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f417,f599]) ).

fof(f1922,plain,
    ( e2 != op(e1,e2)
    | spl2_40
    | ~ spl2_79 ),
    inference(forward_demodulation,[],[f422,f617]) ).

fof(f1929,plain,
    ( e2 != op(e2,e2)
    | spl2_49
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f465,f512]) ).

fof(f1930,plain,
    ( $false
    | spl2_49
    | ~ spl2_57 ),
    inference(forward_subsumption_resolution,[],[f1929,f512]) ).

fof(f1931,plain,
    ( spl2_49
    | ~ spl2_57 ),
    inference(avatar_contradiction_clause,[],[f1930]) ).

fof(f1935,plain,
    ( e2 != op(e0,op(e3,e3))
    | spl2_8
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f270,f309]) ).

fof(f1936,plain,
    ( e2 != op(e0,e1)
    | spl2_8
    | ~ spl2_17
    | ~ spl2_22 ),
    inference(forward_demodulation,[],[f1935,f332]) ).

fof(f1937,plain,
    ( $false
    | spl2_8
    | ~ spl2_17
    | ~ spl2_22
    | ~ spl2_79 ),
    inference(forward_subsumption_resolution,[],[f1936,f617]) ).

fof(f1938,plain,
    ( spl2_8
    | ~ spl2_17
    | ~ spl2_22
    | ~ spl2_79 ),
    inference(avatar_contradiction_clause,[],[f1937]) ).

fof(f1940,plain,
    ( e1 != op(e3,e3)
    | ~ spl2_17
    | spl2_27 ),
    inference(forward_demodulation,[],[f356,f309]) ).

fof(f1942,plain,
    ( $false
    | ~ spl2_17
    | ~ spl2_22
    | spl2_27 ),
    inference(forward_subsumption_resolution,[],[f1940,f332]) ).

fof(f1943,plain,
    ( ~ spl2_17
    | ~ spl2_22
    | spl2_27 ),
    inference(avatar_contradiction_clause,[],[f1942]) ).

fof(f1946,plain,
    ( ~ spl2_31
    | spl2_18
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f1531,f317,f313,f373]) ).

fof(f1950,plain,
    ( e0 = e1
    | ~ spl2_91
    | ~ spl2_93 ),
    inference(forward_demodulation,[],[f680,f670]) ).

fof(f1951,plain,
    ( ~ spl2_77
    | ~ spl2_93 ),
    inference(avatar_split_clause,[],[f1484,f678,f606]) ).

fof(f1957,plain,
    ( e0 != op(e1,e3)
    | ~ spl2_61 ),
    inference(forward_demodulation,[],[f131,f531]) ).

fof(f1965,plain,
    ( e0 != op(e3,e1)
    | ~ spl2_91 ),
    inference(forward_demodulation,[],[f138,f670]) ).

fof(f1966,plain,
    ( e2 != op(e3,e1)
    | ~ spl2_79 ),
    inference(forward_demodulation,[],[f141,f617]) ).

fof(f1967,plain,
    ( e0 != op(e1,e1)
    | ~ spl2_91 ),
    inference(forward_demodulation,[],[f140,f670]) ).

fof(f1968,plain,
    ( e2 != op(e1,e1)
    | ~ spl2_79 ),
    inference(forward_demodulation,[],[f143,f617]) ).

fof(f1969,plain,
    ( ~ spl2_31
    | spl2_16
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f1916,f308,f304,f373]) ).

fof(f1974,plain,
    ( $false
    | ~ spl2_91
    | ~ spl2_93 ),
    inference(forward_subsumption_resolution,[],[f1950,f155]) ).

fof(f1975,plain,
    ( ~ spl2_91
    | ~ spl2_93 ),
    inference(avatar_contradiction_clause,[],[f1974]) ).

fof(f1976,plain,
    ( ~ spl2_92
    | ~ spl2_91 ),
    inference(avatar_split_clause,[],[f1965,f668,f672]) ).

fof(f1977,plain,
    ( ~ spl2_97
    | ~ spl2_79 ),
    inference(avatar_split_clause,[],[f1966,f615,f696]) ).

fof(f1978,plain,
    ( e1 != op(e0,op(e3,e3))
    | spl2_3
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f248,f309]) ).

fof(f1981,plain,
    ( ~ spl2_82
    | ~ spl2_83 ),
    inference(avatar_split_clause,[],[f1636,f632,f628]) ).

fof(f1984,plain,
    ( ~ spl2_95
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f1508,f510,f687]) ).

fof(f1985,plain,
    ( ~ spl2_95
    | spl2_40
    | ~ spl2_79 ),
    inference(avatar_split_clause,[],[f1922,f615,f420,f687]) ).

fof(f1988,plain,
    ( e1 != op(e3,e2)
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f135,f599]) ).

fof(f1990,plain,
    ( ~ spl2_93
    | spl2_39
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f1921,f597,f415,f678]) ).

fof(f1991,plain,
    ( ~ spl2_104
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f1988,f597,f730]) ).

fof(f2027,plain,
    ( e2 != op(e3,e0)
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f105,f374]) ).

fof(f2028,plain,
    ( e3 != op(e3,e0)
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f106,f576]) ).

fof(f2042,plain,
    ( e0 != op(e1,e1)
    | ~ spl2_92 ),
    inference(forward_demodulation,[],[f139,f674]) ).

fof(f2045,plain,
    ( e1 != op(e2,e0)
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f144,f612]) ).

fof(f2047,plain,
    ( e1 != op(e1,e0)
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f145,f612]) ).

fof(f2052,plain,
    ( e1 != op(e0,e2)
    | spl2_3
    | ~ spl2_17
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f1978,f374]) ).

fof(f2053,plain,
    ( $false
    | spl2_3
    | ~ spl2_17
    | ~ spl2_31
    | ~ spl2_75 ),
    inference(forward_subsumption_resolution,[],[f2052,f599]) ).

fof(f2054,plain,
    ( spl2_3
    | ~ spl2_17
    | ~ spl2_31
    | ~ spl2_75 ),
    inference(avatar_contradiction_clause,[],[f2053]) ).

fof(f2057,plain,
    ( ~ spl2_75
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f1685,f264,f597]) ).

fof(f2059,plain,
    ( ~ spl2_61
    | ~ spl2_25 ),
    inference(avatar_split_clause,[],[f1502,f345,f529]) ).

fof(f2060,plain,
    ( ~ spl2_61
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f1686,f519,f529]) ).

fof(f2061,plain,
    ( ~ spl2_17
    | ~ spl2_68 ),
    inference(avatar_split_clause,[],[f1523,f564,f308]) ).

fof(f2062,plain,
    ( ~ spl2_79
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f1150,f623,f615]) ).

fof(f2066,plain,
    ( ~ spl2_94
    | spl2_47
    | ~ spl2_103 ),
    inference(avatar_split_clause,[],[f1789,f725,f454,f682]) ).

fof(f2069,plain,
    ( ~ spl2_78
    | ~ spl2_104 ),
    inference(avatar_split_clause,[],[f1476,f730,f610]) ).

fof(f2082,plain,
    ( ~ spl2_106
    | spl2_39
    | ~ spl2_85 ),
    inference(avatar_split_clause,[],[f1647,f641,f415,f741]) ).

fof(f2145,plain,
    ( e3 != op(e0,e1)
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f142,f712]) ).

fof(f2169,plain,
    ( e2 != op(e1,e2)
    | spl2_52
    | ~ spl2_97 ),
    inference(forward_demodulation,[],[f480,f698]) ).

fof(f2170,plain,
    ( e1 != op(e2,e1)
    | spl2_53
    | ~ spl2_104 ),
    inference(forward_demodulation,[],[f488,f732]) ).

fof(f2172,plain,
    ( e0 != op(e1,op(e1,e1))
    | spl2_6
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f261,f508]) ).

fof(f2173,plain,
    ( e0 != op(e1,e1)
    | spl2_6
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f2172,f508]) ).

fof(f2174,plain,
    ( e2 != op(e0,op(e1,e1))
    | ~ spl2_7
    | spl2_8 ),
    inference(forward_demodulation,[],[f270,f265]) ).

fof(f2176,plain,
    ( e0 != op(e2,op(e2,e2))
    | spl2_11
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f283,f512]) ).

fof(f2177,plain,
    ( e0 != op(e2,e2)
    | spl2_11
    | ~ spl2_57 ),
    inference(forward_demodulation,[],[f2176,f512]) ).

fof(f2182,plain,
    ( e3 != op(e0,op(e1,e1))
    | ~ spl2_7
    | spl2_20 ),
    inference(forward_demodulation,[],[f324,f265]) ).

fof(f2188,plain,
    ( e2 != op(e3,op(e0,e0))
    | ~ spl2_25
    | spl2_33 ),
    inference(forward_demodulation,[],[f385,f346]) ).

fof(f2189,plain,
    ( e2 != op(e3,e1)
    | ~ spl2_7
    | ~ spl2_25
    | spl2_33 ),
    inference(forward_demodulation,[],[f2188,f265]) ).

fof(f2190,plain,
    ( $false
    | ~ spl2_7
    | ~ spl2_25
    | spl2_33
    | ~ spl2_97 ),
    inference(forward_subsumption_resolution,[],[f2189,f698]) ).

fof(f2191,plain,
    ( ~ spl2_7
    | ~ spl2_25
    | spl2_33
    | ~ spl2_97 ),
    inference(avatar_contradiction_clause,[],[f2190]) ).

fof(f2192,plain,
    ( op(e0,e0) != e1
    | ~ spl2_25
    | spl2_30 ),
    inference(forward_demodulation,[],[f371,f346]) ).

fof(f2194,plain,
    ( $false
    | ~ spl2_7
    | ~ spl2_25
    | spl2_30 ),
    inference(forward_subsumption_resolution,[],[f2192,f265]) ).

fof(f2195,plain,
    ( ~ spl2_7
    | ~ spl2_25
    | spl2_30 ),
    inference(avatar_contradiction_clause,[],[f2194]) ).

fof(f2204,plain,
    ( ~ spl2_99
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f1501,f741,f705]) ).

fof(f2258,plain,
    ( e1 != op(e1,e0)
    | ~ spl2_63 ),
    inference(forward_demodulation,[],[f118,f541]) ).

fof(f2270,plain,
    ( e3 != op(e0,e2)
    | ~ spl2_5
    | ~ spl2_7
    | spl2_20 ),
    inference(forward_demodulation,[],[f2182,f256]) ).

fof(f2271,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_7
    | spl2_20
    | ~ spl2_85 ),
    inference(forward_subsumption_resolution,[],[f2270,f643]) ).

fof(f2272,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_20
    | ~ spl2_85 ),
    inference(avatar_contradiction_clause,[],[f2271]) ).

fof(f2273,plain,
    ( ~ spl2_58
    | spl2_1
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f1915,f308,f238,f514]) ).

fof(f2276,plain,
    ( ~ spl2_90
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f1957,f529,f663]) ).

fof(f2277,plain,
    ( ~ spl2_60
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f1896,f529,f524]) ).

fof(f2278,plain,
    ( e1 = e3
    | ~ spl2_62
    | ~ spl2_87 ),
    inference(forward_demodulation,[],[f536,f652]) ).

fof(f2279,plain,
    ( ~ spl2_5
    | ~ spl2_79 ),
    inference(avatar_split_clause,[],[f1968,f615,f255]) ).

fof(f2280,plain,
    ( ~ spl2_84
    | ~ spl2_100 ),
    inference(avatar_split_clause,[],[f2145,f710,f637]) ).

fof(f2285,plain,
    ( e1 != op(e0,e2)
    | ~ spl2_63 ),
    inference(forward_demodulation,[],[f137,f541]) ).

fof(f2288,plain,
    ( ~ spl2_60
    | ~ spl2_102 ),
    inference(avatar_split_clause,[],[f1906,f720,f524]) ).

fof(f2291,plain,
    ( op(e0,e0) != e3
    | ~ spl2_87 ),
    inference(forward_demodulation,[],[f149,f652]) ).

fof(f2294,plain,
    ( $false
    | ~ spl2_62
    | ~ spl2_87 ),
    inference(forward_subsumption_resolution,[],[f2278,f151]) ).

fof(f2295,plain,
    ( ~ spl2_62
    | ~ spl2_87 ),
    inference(avatar_contradiction_clause,[],[f2294]) ).

fof(f2297,plain,
    ( ~ spl2_17
    | ~ spl2_87 ),
    inference(avatar_split_clause,[],[f2291,f650,f308]) ).

fof(f2298,plain,
    ( ~ spl2_60
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f1771,f295,f524]) ).

fof(f2301,plain,
    ( ~ spl2_105
    | ~ spl2_80 ),
    inference(avatar_split_clause,[],[f1809,f619,f736]) ).

fof(f2304,plain,
    ( ~ spl2_83
    | ~ spl2_105 ),
    inference(avatar_split_clause,[],[f1128,f736,f632]) ).

fof(f2305,plain,
    ( ~ spl2_105
    | spl2_43
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f1786,f691,f434,f736]) ).

fof(f2306,plain,
    ( e1 != op(e3,e2)
    | ~ spl2_63 ),
    inference(forward_demodulation,[],[f133,f541]) ).

fof(f2307,plain,
    ( ~ spl2_62
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f2258,f539,f534]) ).

fof(f2308,plain,
    ( ~ spl2_73
    | spl2_38
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f1920,f529,f410,f588]) ).

fof(f2310,plain,
    ( ~ spl2_104
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f2306,f539,f730]) ).

fof(f2312,plain,
    ( ~ spl2_62
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f2047,f610,f534]) ).

fof(f2313,plain,
    ( ~ spl2_77
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f2045,f610,f606]) ).

fof(f2314,plain,
    ( ~ spl2_65
    | ~ spl2_83 ),
    inference(avatar_split_clause,[],[f1912,f632,f549]) ).

fof(f2316,plain,
    ( ~ spl2_12
    | ~ spl2_92 ),
    inference(avatar_split_clause,[],[f2042,f672,f286]) ).

fof(f2317,plain,
    ( ~ spl2_5
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f1513,f696,f255]) ).

fof(f2318,plain,
    ( ~ spl2_93
    | spl2_53
    | ~ spl2_104 ),
    inference(avatar_split_clause,[],[f2170,f730,f486,f678]) ).

fof(f2319,plain,
    ( ~ spl2_106
    | spl2_44
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f1787,f701,f439,f741]) ).

fof(f2320,plain,
    ( ~ spl2_87
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f1758,f701,f650]) ).

fof(f2321,plain,
    ( ~ spl2_98
    | ~ spl2_99 ),
    inference(avatar_split_clause,[],[f1140,f705,f701]) ).

fof(f2373,plain,
    ( e3 != op(e3,e0)
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f105,f516]) ).

fof(f2386,plain,
    ( e2 != op(e1,e1)
    | ~ spl2_96 ),
    inference(forward_demodulation,[],[f115,f693]) ).

fof(f2387,plain,
    ( e3 != op(e1,e1)
    | ~ spl2_98 ),
    inference(forward_demodulation,[],[f116,f703]) ).

fof(f2398,plain,
    ( e3 != op(e1,e3)
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f127,f516]) ).

fof(f2401,plain,
    ( e3 != op(e0,e3)
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f129,f516]) ).

fof(f2426,plain,
    ( e3 = op(e3,e3)
    | ~ spl2_1
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f239,f309]) ).

fof(f2427,plain,
    ( op(e0,e0) != e3
    | spl2_4
    | ~ spl2_12 ),
    inference(forward_demodulation,[],[f253,f287]) ).

fof(f2430,plain,
    ( op(e0,e0) = e3
    | ~ spl2_4
    | ~ spl2_12 ),
    inference(forward_demodulation,[],[f252,f287]) ).

fof(f2432,plain,
    ( e2 = op(e3,e3)
    | ~ spl2_21
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f328,f516]) ).

fof(f2433,plain,
    ( $false
    | ~ spl2_21
    | spl2_31
    | ~ spl2_58 ),
    inference(forward_subsumption_resolution,[],[f2432,f375]) ).

fof(f2434,plain,
    ( ~ spl2_21
    | spl2_31
    | ~ spl2_58 ),
    inference(avatar_contradiction_clause,[],[f2433]) ).

fof(f2450,plain,
    ( e1 != op(e0,e1)
    | spl2_46
    | ~ spl2_62 ),
    inference(forward_demodulation,[],[f451,f536]) ).

fof(f2469,plain,
    ( e3 != op(e3,e3)
    | spl2_54
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f496,f516]) ).

fof(f2470,plain,
    ( $false
    | spl2_54
    | ~ spl2_58 ),
    inference(forward_subsumption_resolution,[],[f2469,f516]) ).

fof(f2471,plain,
    ( spl2_54
    | ~ spl2_58 ),
    inference(avatar_contradiction_clause,[],[f2470]) ).

fof(f2478,plain,
    ( ~ spl2_12
    | spl2_6
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f2173,f506,f259,f286]) ).

fof(f2479,plain,
    ( ~ spl2_12
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f1256,f519,f286]) ).

fof(f2480,plain,
    ( ~ spl2_12
    | ~ spl2_90 ),
    inference(avatar_split_clause,[],[f1624,f663,f286]) ).

fof(f2483,plain,
    ( ~ spl2_99
    | ~ spl2_58 ),
    inference(avatar_split_clause,[],[f2398,f514,f705]) ).

fof(f2484,plain,
    ( ~ spl2_95
    | spl2_52
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f2169,f696,f478,f687]) ).

fof(f2487,plain,
    ( ~ spl2_80
    | spl2_51
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f1797,f549,f473,f619]) ).

fof(f2527,plain,
    ( e2 != op(e0,e2)
    | ~ spl2_95 ),
    inference(forward_demodulation,[],[f137,f689]) ).

fof(f2533,plain,
    ( e3 = op(e1,e1)
    | ~ spl2_4
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f252,f508]) ).

fof(f2534,plain,
    ( $false
    | ~ spl2_4
    | spl2_19
    | ~ spl2_56 ),
    inference(forward_subsumption_resolution,[],[f2533,f319]) ).

fof(f2535,plain,
    ( ~ spl2_4
    | spl2_19
    | ~ spl2_56 ),
    inference(avatar_contradiction_clause,[],[f2534]) ).

fof(f2560,plain,
    ( e1 != op(e2,op(e0,e0))
    | ~ spl2_14
    | spl2_15 ),
    inference(forward_demodulation,[],[f301,f296]) ).

fof(f2566,plain,
    ( e3 != op(e2,op(e0,e0))
    | ~ spl2_14
    | spl2_32 ),
    inference(forward_demodulation,[],[f380,f296]) ).

fof(f2567,plain,
    ( e3 != op(e2,e1)
    | ~ spl2_7
    | ~ spl2_14
    | spl2_32 ),
    inference(forward_demodulation,[],[f2566,f265]) ).

fof(f2568,plain,
    ( $false
    | ~ spl2_7
    | ~ spl2_14
    | spl2_32
    | ~ spl2_100 ),
    inference(forward_subsumption_resolution,[],[f2567,f712]) ).

fof(f2569,plain,
    ( ~ spl2_7
    | ~ spl2_14
    | spl2_32
    | ~ spl2_100 ),
    inference(avatar_contradiction_clause,[],[f2568]) ).

fof(f2570,plain,
    ( op(e0,e0) != e1
    | ~ spl2_14
    | spl2_28 ),
    inference(forward_demodulation,[],[f361,f296]) ).

fof(f2572,plain,
    ( $false
    | ~ spl2_7
    | ~ spl2_14
    | spl2_28 ),
    inference(forward_subsumption_resolution,[],[f2570,f265]) ).

fof(f2573,plain,
    ( ~ spl2_7
    | ~ spl2_14
    | spl2_28 ),
    inference(avatar_contradiction_clause,[],[f2572]) ).

fof(f2577,plain,
    ( ~ spl2_87
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f1492,f317,f650]) ).

fof(f2582,plain,
    ( ~ spl2_14
    | spl2_11
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f2177,f510,f281,f295]) ).

fof(f2583,plain,
    ( ~ spl2_87
    | ~ spl2_88 ),
    inference(avatar_split_clause,[],[f1185,f654,f650]) ).

fof(f2584,plain,
    ( ~ spl2_72
    | spl2_44
    | ~ spl2_89 ),
    inference(avatar_split_clause,[],[f1222,f659,f439,f584]) ).

fof(f2639,plain,
    ( e2 != op(e0,e3)
    | ~ spl2_7
    | spl2_8
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f2174,f318]) ).

fof(f2647,plain,
    ( ~ spl2_85
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1759,f645,f641]) ).

fof(f2650,plain,
    ( ~ spl2_86
    | ~ spl2_58 ),
    inference(avatar_split_clause,[],[f2401,f514,f645]) ).

fof(f2658,plain,
    ( ~ spl2_81
    | ~ spl2_7
    | spl2_8
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f2639,f317,f268,f264,f623]) ).

fof(f2659,plain,
    ( ~ spl2_80
    | spl2_46
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f1224,f628,f449,f619]) ).

fof(f2661,plain,
    ( e3 != op(e2,e2)
    | ~ spl2_88 ),
    inference(forward_demodulation,[],[f112,f656]) ).

fof(f2664,plain,
    ( ~ spl2_29
    | ~ spl2_88 ),
    inference(avatar_split_clause,[],[f2661,f654,f363]) ).

fof(f2701,plain,
    ( e2 != op(e2,e2)
    | ~ spl2_67 ),
    inference(forward_demodulation,[],[f108,f561]) ).

fof(f2702,plain,
    ( e2 != op(e2,e1)
    | ~ spl2_67 ),
    inference(forward_demodulation,[],[f109,f561]) ).

fof(f2703,plain,
    ( e3 != op(e2,e1)
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f110,f364]) ).

fof(f2704,plain,
    ( e2 != op(e2,e0)
    | ~ spl2_67 ),
    inference(forward_demodulation,[],[f111,f561]) ).

fof(f2719,plain,
    ( e3 = op(e3,e3)
    | ~ spl2_4
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f252,f318]) ).

fof(f2732,plain,
    ( e1 != op(e3,e1)
    | spl2_43
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f436,f546]) ).

fof(f2738,plain,
    ( e2 != op(e3,e2)
    | spl2_47
    | ~ spl2_67 ),
    inference(forward_demodulation,[],[f456,f561]) ).

fof(f2740,plain,
    ( e0 != op(e1,e0)
    | spl2_50
    | ~ spl2_91 ),
    inference(forward_demodulation,[],[f470,f670]) ).

fof(f2741,plain,
    ( e1 != op(e0,e1)
    | spl2_51
    | ~ spl2_77 ),
    inference(forward_demodulation,[],[f475,f608]) ).

fof(f2744,plain,
    ( spl2_17
    | ~ spl2_4
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f2430,f286,f251,f308]) ).

fof(f2747,plain,
    ( ~ spl2_12
    | ~ spl2_22
    | spl2_36 ),
    inference(avatar_split_clause,[],[f1200,f399,f331,f286]) ).

fof(f2753,plain,
    ( ~ spl2_58
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1272,f569,f514]) ).

fof(f2757,plain,
    ( ~ spl2_82
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f1757,f691,f628]) ).

fof(f2758,plain,
    ( ~ spl2_29
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f1820,f701,f363]) ).

fof(f2761,plain,
    ( ~ spl2_19
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f2387,f701,f317]) ).

fof(f2762,plain,
    ( e0 = e2
    | ~ spl2_67
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f717,f561]) ).

fof(f2763,plain,
    ( ~ spl2_73
    | spl2_47
    | ~ spl2_101 ),
    inference(avatar_split_clause,[],[f1212,f715,f454,f588]) ).

fof(f2765,plain,
    ( e1 != op(e3,e1)
    | ~ spl2_74 ),
    inference(forward_demodulation,[],[f141,f595]) ).

fof(f2768,plain,
    ( ~ spl2_66
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f2702,f559,f554]) ).

fof(f2769,plain,
    ( e2 != op(e1,e3)
    | ~ spl2_67 ),
    inference(forward_demodulation,[],[f128,f561]) ).

fof(f2772,plain,
    ( e2 != op(e3,e3)
    | ~ spl2_67 ),
    inference(forward_demodulation,[],[f126,f561]) ).

fof(f2776,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_101 ),
    inference(forward_subsumption_resolution,[],[f2762,f154]) ).

fof(f2777,plain,
    ( ~ spl2_67
    | ~ spl2_101 ),
    inference(avatar_contradiction_clause,[],[f2776]) ).

fof(f2779,plain,
    ( ~ spl2_96
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f2769,f559,f691]) ).

fof(f2780,plain,
    ( ~ spl2_17
    | spl2_4
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f2427,f286,f251,f308]) ).

fof(f2864,plain,
    ( op(e0,e0) = e3
    | ~ spl2_1
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f239,f504]) ).

fof(f2865,plain,
    ( $false
    | ~ spl2_1
    | spl2_17
    | ~ spl2_55 ),
    inference(forward_subsumption_resolution,[],[f2864,f310]) ).

fof(f2866,plain,
    ( ~ spl2_1
    | spl2_17
    | ~ spl2_55 ),
    inference(avatar_contradiction_clause,[],[f2865]) ).

fof(f2867,plain,
    ( op(e0,e0) != e3
    | spl2_1
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f240,f504]) ).

fof(f2878,plain,
    ( e0 != op(e0,e0)
    | spl2_41
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f427,f504]) ).

fof(f2879,plain,
    ( $false
    | spl2_41
    | ~ spl2_55 ),
    inference(forward_subsumption_resolution,[],[f2878,f504]) ).

fof(f2880,plain,
    ( spl2_41
    | ~ spl2_55 ),
    inference(avatar_contradiction_clause,[],[f2879]) ).

fof(f2884,plain,
    ( ~ spl2_86
    | spl2_51
    | ~ spl2_88 ),
    inference(avatar_split_clause,[],[f1215,f654,f473,f645]) ).

fof(f2886,plain,
    ( ~ spl2_94
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f2765,f593,f682]) ).

fof(f2901,plain,
    ( ~ spl2_74
    | spl2_46
    | ~ spl2_62 ),
    inference(avatar_split_clause,[],[f2450,f534,f449,f593]) ).

fof(f2924,plain,
    ( e1 != op(e3,e1)
    | spl2_38
    | ~ spl2_76 ),
    inference(forward_demodulation,[],[f412,f603]) ).

fof(f2928,plain,
    ( e3 != op(e1,e3)
    | spl2_40
    | ~ spl2_84 ),
    inference(forward_demodulation,[],[f422,f639]) ).

fof(f2942,plain,
    ( e0 != op(e2,op(e1,e1))
    | ~ spl2_10
    | spl2_11 ),
    inference(forward_demodulation,[],[f283,f278]) ).

fof(f2944,plain,
    ( e2 != op(e1,op(e0,e0))
    | ~ spl2_12
    | spl2_13 ),
    inference(forward_demodulation,[],[f292,f287]) ).

fof(f2950,plain,
    ( e3 != op(e1,op(e0,e0))
    | ~ spl2_12
    | spl2_24 ),
    inference(forward_demodulation,[],[f342,f287]) ).

fof(f2952,plain,
    ( e3 != op(e2,op(e1,e1))
    | ~ spl2_10
    | spl2_32 ),
    inference(forward_demodulation,[],[f380,f278]) ).

fof(f2953,plain,
    ( e3 != op(e2,e0)
    | ~ spl2_10
    | ~ spl2_12
    | spl2_32 ),
    inference(forward_demodulation,[],[f2952,f287]) ).

fof(f2954,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_12
    | spl2_32
    | ~ spl2_88 ),
    inference(forward_subsumption_resolution,[],[f2953,f656]) ).

fof(f2955,plain,
    ( ~ spl2_10
    | ~ spl2_12
    | spl2_32
    | ~ spl2_88 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2957,plain,
    ( e0 != op(e1,e1)
    | ~ spl2_10
    | spl2_35 ),
    inference(forward_demodulation,[],[f395,f278]) ).

fof(f2959,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_12
    | spl2_35 ),
    inference(forward_subsumption_resolution,[],[f2957,f287]) ).

fof(f2960,plain,
    ( ~ spl2_10
    | ~ spl2_12
    | spl2_35 ),
    inference(avatar_contradiction_clause,[],[f2959]) ).

fof(f2961,plain,
    ( ~ spl2_83
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f2027,f373,f632]) ).

fof(f2964,plain,
    ( ~ spl2_12
    | ~ spl2_89 ),
    inference(avatar_split_clause,[],[f1142,f659,f286]) ).

fof(f2967,plain,
    ( ~ spl2_99
    | spl2_40
    | ~ spl2_84 ),
    inference(avatar_split_clause,[],[f2928,f637,f420,f705]) ).

fof(f2974,plain,
    ( e1 != op(e3,e3)
    | ~ spl2_76 ),
    inference(forward_demodulation,[],[f129,f603]) ).

fof(f2975,plain,
    ( e3 != op(e1,e1)
    | ~ spl2_84 ),
    inference(forward_demodulation,[],[f143,f639]) ).

fof(f2977,plain,
    ( ~ spl2_94
    | spl2_38
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f2924,f601,f410,f682]) ).

fof(f3028,plain,
    ( e2 != op(e2,e2)
    | spl2_21
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f329,f374]) ).

fof(f3029,plain,
    ( e1 != op(e2,e2)
    | spl2_30
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f371,f374]) ).

fof(f3030,plain,
    ( $false
    | ~ spl2_10
    | spl2_30
    | ~ spl2_31 ),
    inference(forward_subsumption_resolution,[],[f3029,f278]) ).

fof(f3031,plain,
    ( ~ spl2_10
    | spl2_30
    | ~ spl2_31 ),
    inference(avatar_contradiction_clause,[],[f3030]) ).

fof(f3034,plain,
    ( e0 != op(e2,e2)
    | ~ spl2_31
    | spl2_36 ),
    inference(forward_demodulation,[],[f401,f374]) ).

fof(f3040,plain,
    ( e1 = op(e0,e1)
    | ~ spl2_48
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f459,f612]) ).

fof(f3043,plain,
    ( e1 != op(e0,e1)
    | spl2_48
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f460,f612]) ).

fof(f3044,plain,
    ( e0 != op(e1,e0)
    | spl2_52
    | ~ spl2_92 ),
    inference(forward_demodulation,[],[f480,f674]) ).

fof(f3045,plain,
    ( e3 != op(e2,e3)
    | spl2_53
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f488,f576]) ).

fof(f3054,plain,
    ( e0 != op(e3,op(e2,e2))
    | spl2_23
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f337,f374]) ).

fof(f3055,plain,
    ( e0 != op(e3,e1)
    | ~ spl2_10
    | spl2_23
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f3054,f278]) ).

fof(f3056,plain,
    ( $false
    | ~ spl2_10
    | spl2_23
    | ~ spl2_31
    | ~ spl2_92 ),
    inference(forward_subsumption_resolution,[],[f3055,f674]) ).

fof(f3057,plain,
    ( ~ spl2_10
    | spl2_23
    | ~ spl2_31
    | ~ spl2_92 ),
    inference(avatar_contradiction_clause,[],[f3056]) ).

fof(f3058,plain,
    ( spl2_58
    | ~ spl2_4
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f2719,f317,f251,f514]) ).

fof(f3069,plain,
    ( ~ spl2_76
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1505,f544,f601]) ).

fof(f3084,plain,
    ( ~ spl2_75
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f1170,f277,f597]) ).

fof(f3086,plain,
    ( e3 != op(e3,e3)
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f102,f576]) ).

fof(f3089,plain,
    ( ~ spl2_19
    | ~ spl2_84 ),
    inference(avatar_split_clause,[],[f2975,f637,f317]) ).

fof(f3092,plain,
    ( ~ spl2_58
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f3086,f574,f514]) ).

fof(f3097,plain,
    ( ~ spl2_74
    | spl2_48
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f3043,f610,f458,f593]) ).

fof(f3102,plain,
    ( spl2_74
    | ~ spl2_48
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f3040,f610,f458,f593]) ).

fof(f3136,plain,
    ( e0 != op(e2,e3)
    | ~ spl2_10
    | spl2_11
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f2942,f318]) ).

fof(f3137,plain,
    ( $false
    | ~ spl2_10
    | spl2_11
    | ~ spl2_19
    | ~ spl2_101 ),
    inference(forward_subsumption_resolution,[],[f3136,f717]) ).

fof(f3138,plain,
    ( ~ spl2_10
    | spl2_11
    | ~ spl2_19
    | ~ spl2_101 ),
    inference(avatar_contradiction_clause,[],[f3137]) ).

fof(f3139,plain,
    ( e3 != op(e1,e1)
    | spl2_9
    | ~ spl2_10 ),
    inference(forward_demodulation,[],[f275,f278]) ).

fof(f3144,plain,
    ( ~ spl2_101
    | ~ spl2_25 ),
    inference(avatar_split_clause,[],[f1499,f345,f715]) ).

fof(f3152,plain,
    ( ~ spl2_105
    | spl2_47
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f2738,f559,f454,f736]) ).

fof(f3153,plain,
    ( ~ spl2_88
    | ~ spl2_68 ),
    inference(avatar_split_clause,[],[f1520,f564,f654]) ).

fof(f3155,plain,
    ( e0 != op(e2,e0)
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f148,f504]) ).

fof(f3211,plain,
    ( e1 != op(e0,e2)
    | ~ spl2_76 ),
    inference(forward_demodulation,[],[f120,f603]) ).

fof(f3235,plain,
    ( e1 != op(e3,e3)
    | spl2_28
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f361,f364]) ).

fof(f3254,plain,
    ( e0 = op(e2,op(e3,e3))
    | ~ spl2_11
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f282,f364]) ).

fof(f3255,plain,
    ( e0 = op(e2,e0)
    | ~ spl2_11
    | ~ spl2_25
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f3254,f346]) ).

fof(f3256,plain,
    ( $false
    | ~ spl2_11
    | ~ spl2_25
    | ~ spl2_29
    | spl2_72 ),
    inference(forward_subsumption_resolution,[],[f3255,f585]) ).

fof(f3257,plain,
    ( ~ spl2_11
    | ~ spl2_25
    | ~ spl2_29
    | spl2_72 ),
    inference(avatar_contradiction_clause,[],[f3256]) ).

fof(f3258,plain,
    ( e0 != op(e2,op(e3,e3))
    | spl2_11
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f283,f364]) ).

fof(f3262,plain,
    ( e1 != op(e2,op(e3,e3))
    | spl2_15
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f301,f364]) ).

fof(f3263,plain,
    ( e1 != op(e2,e0)
    | spl2_15
    | ~ spl2_25
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f3262,f346]) ).

fof(f3264,plain,
    ( $false
    | spl2_15
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_77 ),
    inference(forward_subsumption_resolution,[],[f3263,f608]) ).

fof(f3265,plain,
    ( spl2_15
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_77 ),
    inference(avatar_contradiction_clause,[],[f3264]) ).

fof(f3267,plain,
    ( e0 != op(e3,e3)
    | ~ spl2_29
    | spl2_35 ),
    inference(forward_demodulation,[],[f395,f364]) ).

fof(f3269,plain,
    ( $false
    | ~ spl2_25
    | ~ spl2_29
    | spl2_35 ),
    inference(forward_subsumption_resolution,[],[f3267,f346]) ).

fof(f3270,plain,
    ( ~ spl2_25
    | ~ spl2_29
    | spl2_35 ),
    inference(avatar_contradiction_clause,[],[f3269]) ).

fof(f3271,plain,
    ( ~ spl2_89
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f1769,f295,f659]) ).

fof(f3272,plain,
    ( ~ spl2_91
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f1750,f295,f668]) ).

fof(f3276,plain,
    ( ~ spl2_82
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f1777,f549,f628]) ).

fof(f3277,plain,
    ( ~ spl2_68
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f2028,f574,f564]) ).

fof(f3279,plain,
    ( ~ spl2_80
    | ~ spl2_95 ),
    inference(avatar_split_clause,[],[f2527,f687,f619]) ).

fof(f3280,plain,
    ( ~ spl2_99
    | spl2_50
    | ~ spl2_100 ),
    inference(avatar_split_clause,[],[f1796,f710,f468,f705]) ).

fof(f3281,plain,
    ( ~ spl2_76
    | ~ spl2_103 ),
    inference(avatar_split_clause,[],[f1765,f725,f601]) ).

fof(f3355,plain,
    ( e3 != op(e2,e2)
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f132,f576]) ).

fof(f3369,plain,
    ( op(e0,e0) != e3
    | spl2_9
    | ~ spl2_14 ),
    inference(forward_demodulation,[],[f275,f296]) ).

fof(f3401,plain,
    ( e1 != op(e3,op(e2,e2))
    | spl2_26
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f351,f374]) ).

fof(f3402,plain,
    ( e1 != op(e3,e0)
    | ~ spl2_14
    | spl2_26
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f3401,f296]) ).

fof(f3403,plain,
    ( $false
    | ~ spl2_14
    | spl2_26
    | ~ spl2_31
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f3402,f612]) ).

fof(f3404,plain,
    ( ~ spl2_14
    | spl2_26
    | ~ spl2_31
    | ~ spl2_78 ),
    inference(avatar_contradiction_clause,[],[f3403]) ).

fof(f3412,plain,
    ( spl2_58
    | ~ spl2_1
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f2426,f308,f238,f514]) ).

fof(f3414,plain,
    ( ~ spl2_55
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f1899,f529,f502]) ).

fof(f3415,plain,
    ( ~ spl2_55
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f1823,f580,f502]) ).

fof(f3416,plain,
    ( ~ spl2_95
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f1756,f691,f687]) ).

fof(f3421,plain,
    ( ~ spl2_71
    | spl2_52
    | ~ spl2_92 ),
    inference(avatar_split_clause,[],[f3044,f672,f478,f580]) ).

fof(f3433,plain,
    ( ~ spl2_17
    | spl2_9
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f3369,f295,f273,f308]) ).

fof(f3434,plain,
    ( op(e0,e0) = e3
    | ~ spl2_9
    | ~ spl2_14 ),
    inference(forward_demodulation,[],[f274,f296]) ).

fof(f3437,plain,
    ( spl2_17
    | ~ spl2_9
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f3434,f295,f273,f308]) ).

fof(f3473,plain,
    ( e1 != op(e2,e3)
    | ~ spl2_14
    | spl2_15
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f2560,f309]) ).

fof(f3474,plain,
    ( $false
    | ~ spl2_14
    | spl2_15
    | ~ spl2_17
    | ~ spl2_103 ),
    inference(forward_subsumption_resolution,[],[f3473,f727]) ).

fof(f3475,plain,
    ( ~ spl2_14
    | spl2_15
    | ~ spl2_17
    | ~ spl2_103 ),
    inference(avatar_contradiction_clause,[],[f3474]) ).

fof(f3480,plain,
    ( e2 != op(e1,e3)
    | ~ spl2_12
    | spl2_13
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f2944,f309]) ).

fof(f3503,plain,
    ( $false
    | ~ spl2_12
    | spl2_13
    | ~ spl2_17
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f3480,f693]) ).

fof(f3504,plain,
    ( ~ spl2_12
    | spl2_13
    | ~ spl2_17
    | ~ spl2_96 ),
    inference(avatar_contradiction_clause,[],[f3503]) ).

fof(f3505,plain,
    ( ~ spl2_17
    | spl2_1
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f2867,f502,f238,f308]) ).

fof(f3508,plain,
    ( ~ spl2_72
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f3155,f502,f584]) ).

fof(f3509,plain,
    ( ~ spl2_62
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1490,f544,f534]) ).

fof(f3510,plain,
    ( ~ spl2_94
    | spl2_43
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f2732,f544,f434,f682]) ).

fof(f3513,plain,
    ( ~ spl2_68
    | ~ spl2_58 ),
    inference(avatar_split_clause,[],[f2373,f514,f564]) ).

fof(f3515,plain,
    ( ~ spl2_58
    | spl2_4
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f1526,f317,f251,f514]) ).

fof(f3518,plain,
    ( ~ spl2_57
    | spl2_21
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f3028,f373,f327,f510]) ).

fof(f3519,plain,
    ( ~ spl2_14
    | ~ spl2_31
    | spl2_36 ),
    inference(avatar_split_clause,[],[f3034,f399,f373,f295]) ).

fof(f3520,plain,
    ( ~ spl2_74
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f1898,f597,f593]) ).

fof(f3639,plain,
    ( e2 = op(e2,e2)
    | ~ spl2_21
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f328,f374]) ).

fof(f3664,plain,
    ( e0 != op(e1,op(e3,e3))
    | spl2_6
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f261,f318]) ).

fof(f3665,plain,
    ( e0 != op(e1,e2)
    | spl2_6
    | ~ spl2_19
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f3664,f374]) ).

fof(f3666,plain,
    ( $false
    | spl2_6
    | ~ spl2_19
    | ~ spl2_31
    | ~ spl2_89 ),
    inference(forward_subsumption_resolution,[],[f3665,f661]) ).

fof(f3667,plain,
    ( spl2_6
    | ~ spl2_19
    | ~ spl2_31
    | ~ spl2_89 ),
    inference(avatar_contradiction_clause,[],[f3666]) ).

fof(f3668,plain,
    ( ~ spl2_22
    | spl2_28
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f3235,f363,f359,f331]) ).

fof(f3671,plain,
    ( ~ spl2_31
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f2772,f559,f373]) ).

fof(f3672,plain,
    ( ~ spl2_57
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f2701,f559,f510]) ).

fof(f3761,plain,
    ( e1 != op(e1,e0)
    | ~ spl2_77 ),
    inference(forward_demodulation,[],[f146,f608]) ).

fof(f3762,plain,
    ( e0 != op(e2,e1)
    | spl2_11
    | ~ spl2_22
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f3258,f332]) ).

fof(f3763,plain,
    ( $false
    | spl2_11
    | ~ spl2_22
    | ~ spl2_29
    | ~ spl2_91 ),
    inference(forward_subsumption_resolution,[],[f3762,f670]) ).

fof(f3764,plain,
    ( spl2_11
    | ~ spl2_22
    | ~ spl2_29
    | ~ spl2_91 ),
    inference(avatar_contradiction_clause,[],[f3763]) ).

fof(f3820,plain,
    ( op(e0,e0) != e2
    | ~ spl2_12
    | spl2_18 ),
    inference(forward_demodulation,[],[f315,f287]) ).

fof(f3853,plain,
    ( e2 != op(e3,op(e1,e1))
    | ~ spl2_22
    | spl2_33 ),
    inference(forward_demodulation,[],[f385,f332]) ).

fof(f3854,plain,
    ( e2 != op(e3,e0)
    | ~ spl2_12
    | ~ spl2_22
    | spl2_33 ),
    inference(forward_demodulation,[],[f3853,f287]) ).

fof(f3855,plain,
    ( $false
    | ~ spl2_12
    | ~ spl2_22
    | spl2_33
    | ~ spl2_83 ),
    inference(forward_subsumption_resolution,[],[f3854,f634]) ).

fof(f3856,plain,
    ( ~ spl2_12
    | ~ spl2_22
    | spl2_33
    | ~ spl2_83 ),
    inference(avatar_contradiction_clause,[],[f3855]) ).

fof(f3858,plain,
    ( ~ spl2_75
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f2285,f539,f597]) ).

fof(f3860,plain,
    ( ~ spl2_22
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f2974,f601,f331]) ).

fof(f3861,plain,
    ( ~ spl2_75
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f3211,f601,f597]) ).

fof(f3862,plain,
    ( ~ spl2_62
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f3761,f606,f534]) ).

fof(f3863,plain,
    ( ~ spl2_86
    | spl2_46
    | ~ spl2_87 ),
    inference(avatar_split_clause,[],[f1660,f650,f449,f645]) ).

fof(f3864,plain,
    ( ~ spl2_12
    | ~ spl2_91 ),
    inference(avatar_split_clause,[],[f1967,f668,f286]) ).

fof(f3950,plain,
    ( e3 != op(e2,e2)
    | spl2_4
    | ~ spl2_5 ),
    inference(forward_demodulation,[],[f253,f256]) ).

fof(f3954,plain,
    ( e0 != op(e1,op(e2,e2))
    | ~ spl2_5
    | spl2_6 ),
    inference(forward_demodulation,[],[f261,f256]) ).

fof(f3955,plain,
    ( e0 != op(e1,e3)
    | ~ spl2_5
    | spl2_6
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f3954,f364]) ).

fof(f3956,plain,
    ( $false
    | ~ spl2_5
    | spl2_6
    | ~ spl2_29
    | ~ spl2_90 ),
    inference(forward_subsumption_resolution,[],[f3955,f665]) ).

fof(f3957,plain,
    ( ~ spl2_5
    | spl2_6
    | ~ spl2_29
    | ~ spl2_90 ),
    inference(avatar_contradiction_clause,[],[f3956]) ).

fof(f3959,plain,
    ( ~ spl2_29
    | spl2_4
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f3950,f255,f251,f363]) ).

fof(f3974,plain,
    ( ~ spl2_80
    | spl2_48
    | ~ spl2_83 ),
    inference(avatar_split_clause,[],[f1663,f632,f458,f619]) ).

fof(f3980,plain,
    ( ~ spl2_58
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f1571,f741,f514]) ).

fof(f4038,plain,
    ( e0 != op(e2,e2)
    | ~ spl2_5
    | spl2_34 ),
    inference(forward_demodulation,[],[f390,f256]) ).

fof(f4047,plain,
    ( e1 != op(e2,e1)
    | spl2_44
    | ~ spl2_63 ),
    inference(forward_demodulation,[],[f441,f541]) ).

fof(f4059,plain,
    ( e0 != op(e3,op(e1,e1))
    | ~ spl2_22
    | spl2_23 ),
    inference(forward_demodulation,[],[f337,f332]) ).

fof(f4060,plain,
    ( e0 != op(e3,e2)
    | ~ spl2_5
    | ~ spl2_22
    | spl2_23 ),
    inference(forward_demodulation,[],[f4059,f256]) ).

fof(f4061,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_22
    | spl2_23
    | ~ spl2_102 ),
    inference(forward_subsumption_resolution,[],[f4060,f722]) ).

fof(f4062,plain,
    ( ~ spl2_5
    | ~ spl2_22
    | spl2_23
    | ~ spl2_102 ),
    inference(avatar_contradiction_clause,[],[f4061]) ).

fof(f4079,plain,
    ( ~ spl2_93
    | spl2_44
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f4047,f539,f439,f678]) ).

fof(f4086,plain,
    ( ~ spl2_14
    | ~ spl2_5
    | spl2_34 ),
    inference(avatar_split_clause,[],[f4038,f388,f255,f295]) ).

fof(f4158,plain,
    ( e3 != op(e1,op(e2,e2))
    | ~ spl2_5
    | spl2_24 ),
    inference(forward_demodulation,[],[f342,f256]) ).

fof(f4159,plain,
    ( e3 != op(e1,e0)
    | ~ spl2_5
    | ~ spl2_14
    | spl2_24 ),
    inference(forward_demodulation,[],[f4158,f296]) ).

fof(f4160,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_14
    | spl2_24
    | ~ spl2_87 ),
    inference(forward_subsumption_resolution,[],[f4159,f652]) ).

fof(f4161,plain,
    ( ~ spl2_5
    | ~ spl2_14
    | spl2_24
    | ~ spl2_87 ),
    inference(avatar_contradiction_clause,[],[f4160]) ).

fof(f4165,plain,
    ( ~ spl2_100
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f2703,f363,f710]) ).

fof(f4173,plain,
    ( ~ spl2_63
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1486,f544,f539]) ).

fof(f4174,plain,
    ( ~ spl2_65
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f2704,f559,f549]) ).

fof(f4176,plain,
    ( ~ spl2_74
    | spl2_51
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f2741,f606,f473,f593]) ).

fof(f4177,plain,
    ( ~ spl2_71
    | spl2_50
    | ~ spl2_91 ),
    inference(avatar_split_clause,[],[f2740,f668,f468,f580]) ).

fof(f4183,plain,
    ( ~ spl2_19
    | spl2_9
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f3139,f277,f273,f317]) ).

fof(f4188,plain,
    ( ~ spl2_5
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f1176,f554,f255]) ).

fof(f4189,plain,
    ( ~ spl2_79
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f1178,f554,f615]) ).

fof(f4190,plain,
    ( ~ spl2_5
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f2386,f691,f255]) ).

fof(f4297,plain,
    ( e1 != op(e2,e2)
    | ~ spl2_2
    | spl2_27 ),
    inference(forward_demodulation,[],[f356,f243]) ).

fof(f4300,plain,
    ( e3 != op(e0,op(e2,e2))
    | ~ spl2_2
    | spl2_20 ),
    inference(forward_demodulation,[],[f324,f243]) ).

fof(f4302,plain,
    ( e3 != op(e0,e1)
    | ~ spl2_2
    | ~ spl2_10
    | spl2_20 ),
    inference(forward_demodulation,[],[f4300,f278]) ).

fof(f4303,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_10
    | spl2_20
    | ~ spl2_84 ),
    inference(forward_subsumption_resolution,[],[f4302,f639]) ).

fof(f4304,plain,
    ( ~ spl2_2
    | ~ spl2_10
    | spl2_20
    | ~ spl2_84 ),
    inference(avatar_contradiction_clause,[],[f4303]) ).

fof(f4336,plain,
    ( ~ spl2_10
    | ~ spl2_2
    | spl2_27 ),
    inference(avatar_split_clause,[],[f4297,f354,f242,f277]) ).

fof(f4390,plain,
    ( e3 != op(e3,e3)
    | spl2_9
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f275,f364]) ).

fof(f4391,plain,
    ( $false
    | spl2_9
    | ~ spl2_29
    | ~ spl2_58 ),
    inference(forward_subsumption_resolution,[],[f4390,f516]) ).

fof(f4392,plain,
    ( spl2_9
    | ~ spl2_29
    | ~ spl2_58 ),
    inference(avatar_contradiction_clause,[],[f4391]) ).

fof(f4401,plain,
    ( e0 != op(e2,e0)
    | spl2_39
    | ~ spl2_60 ),
    inference(forward_demodulation,[],[f417,f526]) ).

fof(f4403,plain,
    ( e2 = op(e0,e2)
    | ~ spl2_2
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f426,f243]) ).

fof(f4404,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_41
    | spl2_80 ),
    inference(forward_subsumption_resolution,[],[f4403,f620]) ).

fof(f4405,plain,
    ( ~ spl2_2
    | ~ spl2_41
    | spl2_80 ),
    inference(avatar_contradiction_clause,[],[f4404]) ).

fof(f4419,plain,
    ( e1 != op(e0,op(e2,e2))
    | ~ spl2_2
    | spl2_3 ),
    inference(forward_demodulation,[],[f248,f243]) ).

fof(f4420,plain,
    ( e1 != op(e0,e3)
    | ~ spl2_2
    | spl2_3
    | ~ spl2_29 ),
    inference(forward_demodulation,[],[f4419,f364]) ).

fof(f4421,plain,
    ( $false
    | ~ spl2_2
    | spl2_3
    | ~ spl2_29
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f4420,f603]) ).

fof(f4422,plain,
    ( ~ spl2_2
    | spl2_3
    | ~ spl2_29
    | ~ spl2_76 ),
    inference(avatar_contradiction_clause,[],[f4421]) ).

fof(f4423,plain,
    ( e3 != op(e2,e2)
    | spl2_1
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f240,f243]) ).

fof(f4425,plain,
    ( $false
    | spl2_1
    | ~ spl2_2
    | ~ spl2_29 ),
    inference(forward_subsumption_resolution,[],[f4423,f364]) ).

fof(f4426,plain,
    ( spl2_1
    | ~ spl2_2
    | ~ spl2_29 ),
    inference(avatar_contradiction_clause,[],[f4425]) ).

fof(f4436,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_12
    | spl2_18 ),
    inference(forward_subsumption_resolution,[],[f3820,f243]) ).

fof(f4437,plain,
    ( ~ spl2_2
    | ~ spl2_12
    | spl2_18 ),
    inference(avatar_contradiction_clause,[],[f4436]) ).

fof(f4449,plain,
    ( e3 != op(e1,e2)
    | ~ spl2_2
    | ~ spl2_12
    | spl2_24 ),
    inference(forward_demodulation,[],[f2950,f243]) ).

fof(f4452,plain,
    ( ~ spl2_98
    | ~ spl2_2
    | ~ spl2_12
    | spl2_24 ),
    inference(avatar_split_clause,[],[f4449,f340,f286,f242,f701]) ).

fof(f4454,plain,
    ( spl2_57
    | ~ spl2_21
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f3639,f373,f327,f510]) ).

fof(f4456,plain,
    ( ~ spl2_106
    | spl2_53
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f3045,f574,f486,f741]) ).

fof(f4459,plain,
    ( ~ spl2_29
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f3355,f574,f363]) ).

fof(f4465,plain,
    ( ~ spl2_73
    | spl2_43
    | ~ spl2_90 ),
    inference(avatar_split_clause,[],[f1654,f663,f434,f588]) ).

fof(f4466,plain,
    ( ~ spl2_72
    | spl2_39
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f4401,f524,f415,f584]) ).

fof(f4588,plain,
    ( e1 != op(e3,op(e0,e0))
    | ~ spl2_25
    | spl2_26 ),
    inference(forward_demodulation,[],[f351,f346]) ).

fof(f4589,plain,
    ( e1 != op(e3,e2)
    | ~ spl2_2
    | ~ spl2_25
    | spl2_26 ),
    inference(forward_demodulation,[],[f4588,f243]) ).

fof(f4590,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_25
    | spl2_26
    | ~ spl2_104 ),
    inference(forward_subsumption_resolution,[],[f4589,f732]) ).

fof(f4591,plain,
    ( ~ spl2_2
    | ~ spl2_25
    | spl2_26
    | ~ spl2_104 ),
    inference(avatar_contradiction_clause,[],[f4590]) ).

fof(f4592,plain,
    ( op(e0,e0) != e2
    | spl2_21
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f329,f346]) ).

fof(f4602,plain,
    ( $false
    | ~ spl2_2
    | spl2_21
    | ~ spl2_25 ),
    inference(forward_subsumption_resolution,[],[f4592,f243]) ).

fof(f4603,plain,
    ( ~ spl2_2
    | spl2_21
    | ~ spl2_25 ),
    inference(avatar_contradiction_clause,[],[f4602]) ).

cnf(s1,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s2,plain,
    ( ~ spl2_4
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s3,plain,
    ( ~ spl2_1
    | ~ spl2_7
    | ~ spl2_8 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s4,plain,
    ( ~ spl2_9
    | ~ spl2_10
    | ~ spl2_11 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s5,plain,
    ( ~ spl2_4
    | ~ spl2_12
    | ~ spl2_13 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s6,plain,
    ( ~ spl2_9
    | ~ spl2_14
    | ~ spl2_15 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s7,plain,
    ( ~ spl2_3
    | ~ spl2_16
    | ~ spl2_17 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s8,plain,
    ( ~ spl2_6
    | ~ spl2_18
    | ~ spl2_19 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s9,plain,
    ( ~ spl2_7
    | ~ spl2_16
    | ~ spl2_20 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s10,plain,
    ( ~ spl2_21
    | ~ spl2_22
    | ~ spl2_23 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s11,plain,
    ( ~ spl2_12
    | ~ spl2_18
    | ~ spl2_24 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s12,plain,
    ( ~ spl2_21
    | ~ spl2_25
    | ~ spl2_26 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s13,plain,
    ( ~ spl2_8
    | ~ spl2_17
    | ~ spl2_27 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s14,plain,
    ( ~ spl2_11
    | ~ spl2_28
    | ~ spl2_29 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s15,plain,
    ( ~ spl2_2
    | ~ spl2_20
    | ~ spl2_27 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s16,plain,
    ( ~ spl2_23
    | ~ spl2_30
    | ~ spl2_31 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s17,plain,
    ( ~ spl2_14
    | ~ spl2_28
    | ~ spl2_32 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s18,plain,
    ( ~ spl2_25
    | ~ spl2_30
    | ~ spl2_33 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s19,plain,
    ( ~ spl2_13
    | ~ spl2_19
    | ~ spl2_34 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s20,plain,
    ( ~ spl2_15
    | ~ spl2_29
    | ~ spl2_35 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s21,plain,
    ( ~ spl2_5
    | ~ spl2_24
    | ~ spl2_34 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s22,plain,
    ( ~ spl2_26
    | ~ spl2_31
    | ~ spl2_36 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s23,plain,
    ( ~ spl2_10
    | ~ spl2_32
    | ~ spl2_35 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s24,plain,
    ( ~ spl2_22
    | ~ spl2_33
    | ~ spl2_36 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s25,plain,
    ( spl2_37
    | ~ spl2_38 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s26,plain,
    ( spl2_37
    | ~ spl2_39 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s27,plain,
    ( spl2_37
    | ~ spl2_40 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s28,plain,
    ( spl2_37
    | ~ spl2_41 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s29,plain,
    ( ~ spl2_42
    | ~ spl2_43 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s30,plain,
    ( ~ spl2_42
    | ~ spl2_44 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s31,plain,
    ( ~ spl2_42
    | ~ spl2_45 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s32,plain,
    ( ~ spl2_42
    | ~ spl2_46 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s33,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s34,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_48
    | ~ spl2_49 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s36,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_48
    | ~ spl2_51 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s37,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s38,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_49
    | ~ spl2_52 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s39,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_50
    | ~ spl2_52 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s42,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_49
    | ~ spl2_53 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s43,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_50
    | ~ spl2_53 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s44,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_51
    | ~ spl2_53 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s45,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s46,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_49
    | ~ spl2_54 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s47,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_50
    | ~ spl2_54 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s48,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_51
    | ~ spl2_54 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s49,plain,
    ( spl2_55
    | spl2_56
    | spl2_57
    | spl2_58 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s50,plain,
    ( ~ spl2_7
    | spl2_59 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s51,plain,
    ( ~ spl2_2
    | spl2_60 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s52,plain,
    ( ~ spl2_17
    | spl2_61 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s53,plain,
    ( ~ spl2_12
    | spl2_62 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s54,plain,
    ( ~ spl2_5
    | spl2_63 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s55,plain,
    ( ~ spl2_19
    | spl2_64 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s56,plain,
    ( ~ spl2_14
    | spl2_65 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s57,plain,
    ( ~ spl2_10
    | spl2_66 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s58,plain,
    ( ~ spl2_29
    | spl2_67 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s59,plain,
    ( ~ spl2_25
    | spl2_68 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s60,plain,
    ( ~ spl2_22
    | spl2_69 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s61,plain,
    ( ~ spl2_31
    | spl2_70 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s63,plain,
    ( spl2_55
    | spl2_71
    | spl2_72
    | spl2_73 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s64,plain,
    ( spl2_7
    | spl2_74
    | spl2_75
    | spl2_76 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s65,plain,
    ( spl2_7
    | spl2_62
    | spl2_77
    | spl2_78 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s66,plain,
    ( spl2_2
    | spl2_79
    | spl2_80
    | spl2_81 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s67,plain,
    ( spl2_2
    | spl2_65
    | spl2_82
    | spl2_83 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s68,plain,
    ( spl2_17
    | spl2_84
    | spl2_85
    | spl2_86 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s69,plain,
    ( spl2_17
    | spl2_68
    | spl2_87
    | spl2_88 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s70,plain,
    ( spl2_12
    | spl2_71
    | spl2_89
    | spl2_90 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s71,plain,
    ( spl2_12
    | spl2_59
    | spl2_91
    | spl2_92 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s73,plain,
    ( spl2_56
    | spl2_74
    | spl2_93
    | spl2_94 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s74,plain,
    ( spl2_5
    | spl2_82
    | spl2_95
    | spl2_96 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s76,plain,
    ( spl2_19
    | spl2_87
    | spl2_98
    | spl2_99 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s77,plain,
    ( spl2_19
    | spl2_69
    | spl2_84
    | spl2_100 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s78,plain,
    ( spl2_14
    | spl2_72
    | spl2_91
    | spl2_101 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s79,plain,
    ( spl2_14
    | spl2_60
    | spl2_89
    | spl2_102 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s80,plain,
    ( spl2_10
    | spl2_77
    | spl2_93
    | spl2_103 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s81,plain,
    ( spl2_10
    | spl2_63
    | spl2_75
    | spl2_104 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s83,plain,
    ( spl2_57
    | spl2_80
    | spl2_95
    | spl2_105 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s84,plain,
    ( spl2_29
    | spl2_88
    | spl2_100
    | spl2_106 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s85,plain,
    ( spl2_29
    | spl2_70
    | spl2_85
    | spl2_98 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s86,plain,
    ( spl2_25
    | spl2_73
    | spl2_92
    | spl2_102 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s87,plain,
    ( spl2_25
    | spl2_61
    | spl2_90
    | spl2_101 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s88,plain,
    ( spl2_22
    | spl2_78
    | spl2_94
    | spl2_104 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s89,plain,
    ( spl2_22
    | spl2_64
    | spl2_76
    | spl2_103 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s90,plain,
    ( spl2_31
    | spl2_83
    | spl2_97
    | spl2_105 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s91,plain,
    ( spl2_31
    | spl2_67
    | spl2_81
    | spl2_96 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s93,plain,
    ( spl2_58
    | spl2_86
    | spl2_99
    | spl2_106 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s94,plain,
    ( spl2_2
    | spl2_7
    | spl2_17
    | spl2_55 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s95,plain,
    ( spl2_59
    | spl2_74
    | spl2_79
    | spl2_84 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s96,plain,
    ( spl2_60
    | spl2_75
    | spl2_80
    | spl2_85 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s97,plain,
    ( spl2_61
    | spl2_76
    | spl2_81
    | spl2_86 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s98,plain,
    ( spl2_62
    | spl2_71
    | spl2_82
    | spl2_87 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s99,plain,
    ( spl2_5
    | spl2_12
    | spl2_19
    | spl2_56 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s100,plain,
    ( spl2_63
    | spl2_89
    | spl2_95
    | spl2_98 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s101,plain,
    ( spl2_64
    | spl2_90
    | spl2_96
    | spl2_99 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s102,plain,
    ( spl2_65
    | spl2_72
    | spl2_77
    | spl2_88 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s103,plain,
    ( spl2_66
    | spl2_91
    | spl2_93
    | spl2_100 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s104,plain,
    ( spl2_10
    | spl2_14
    | spl2_29
    | spl2_57 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s105,plain,
    ( spl2_67
    | spl2_101
    | spl2_103
    | spl2_106 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s106,plain,
    ( spl2_68
    | spl2_73
    | spl2_78
    | spl2_83 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s107,plain,
    ( spl2_69
    | spl2_92
    | spl2_94
    | spl2_97 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s108,plain,
    ( spl2_70
    | spl2_102
    | spl2_104
    | spl2_105 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s109,plain,
    ( spl2_22
    | spl2_25
    | spl2_31
    | spl2_58 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s110,plain,
    ( ~ spl2_2
    | ~ spl2_7 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s111,plain,
    ( ~ spl2_5
    | ~ spl2_12 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s114,plain,
    ( ~ spl2_2
    | ~ spl2_17 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s115,plain,
    ( ~ spl2_5
    | ~ spl2_19 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s117,plain,
    ( ~ spl2_22
    | ~ spl2_25 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s119,plain,
    ( ~ spl2_10
    | ~ spl2_29 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s121,plain,
    ( ~ spl2_22
    | ~ spl2_31 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s122,plain,
    ( ~ spl2_17
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s123,plain,
    ( ~ spl2_19
    | ~ spl2_56 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s125,plain,
    ( ~ spl2_29
    | ~ spl2_57 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s130,plain,
    ( ~ spl2_14
    | ~ spl2_29 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s133,plain,
    ( ~ spl2_12
    | ~ spl2_19 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s134,plain,
    ( ~ spl2_61
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s135,plain,
    ( ~ spl2_7
    | ~ spl2_17 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s136,plain,
    ( ~ spl2_60
    | ~ spl2_75 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s137,plain,
    ( ~ spl2_72
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s138,plain,
    ( ~ spl2_73
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s139,plain,
    ( ~ spl2_25
    | ~ spl2_58 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s140,plain,
    ( ~ spl2_68
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s142,plain,
    ( ~ spl2_59
    | ~ spl2_79 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s143,plain,
    ( ~ spl2_75
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s144,plain,
    ( ~ spl2_75
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s145,plain,
    ( ~ spl2_60
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s146,plain,
    ( ~ spl2_62
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s147,plain,
    ( ~ spl2_62
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s151,plain,
    ( ~ spl2_76
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s153,plain,
    ( ~ spl2_59
    | ~ spl2_84 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s154,plain,
    ( ~ spl2_80
    | ~ spl2_85 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s156,plain,
    ( ~ spl2_10
    | ~ spl2_57 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s157,plain,
    ( ~ spl2_67
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s159,plain,
    ( ~ spl2_76
    | ~ spl2_81 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s160,plain,
    ( ~ spl2_82
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s164,plain,
    ( ~ spl2_63
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s165,plain,
    ( ~ spl2_70
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s167,plain,
    ( ~ spl2_64
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s172,plain,
    ( ~ spl2_101
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f1037]) ).

cnf(s173,plain,
    ( ~ spl2_14
    | ~ spl2_57 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s174,plain,
    ( ~ spl2_90
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s176,plain,
    ( ~ spl2_65
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f1052]) ).

cnf(s178,plain,
    ( ~ spl2_89
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s181,plain,
    ( ~ spl2_60
    | ~ spl2_85 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s183,plain,
    ( ~ spl2_77
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s184,plain,
    ( ~ spl2_66
    | ~ spl2_100 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s186,plain,
    ( ~ spl2_22
    | ~ spl2_58 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s189,plain,
    ( ~ spl2_95
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s194,plain,
    ( spl2_45
    | ~ spl2_56 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s195,plain,
    ( spl2_52
    | ~ spl2_69
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f1231]) ).

cnf(s196,plain,
    ( ~ spl2_22
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f1233]) ).

cnf(s197,plain,
    ( ~ spl2_72
    | ~ spl2_73 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s198,plain,
    ( ~ spl2_56
    | ~ spl2_62 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s200,plain,
    ( ~ spl2_65
    | ~ spl2_66 ),
    inference(sat_conversion,[],[f1244]) ).

cnf(s202,plain,
    ( ~ spl2_81
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f1247]) ).

cnf(s203,plain,
    ( ~ spl2_56
    | ~ spl2_63 ),
    inference(sat_conversion,[],[f1248]) ).

cnf(s204,plain,
    ( ~ spl2_7
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f1249]) ).

cnf(s205,plain,
    ( ~ spl2_7
    | ~ spl2_62 ),
    inference(sat_conversion,[],[f1250]) ).

cnf(s206,plain,
    ( ~ spl2_69
    | ~ spl2_100 ),
    inference(sat_conversion,[],[f1252]) ).

cnf(s207,plain,
    ( ~ spl2_57
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s210,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_16 ),
    inference(sat_conversion,[],[f1258]) ).

cnf(s211,plain,
    ( ~ spl2_5
    | spl2_21
    | ~ spl2_22 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s213,plain,
    ( ~ spl2_59
    | ~ spl2_91 ),
    inference(sat_conversion,[],[f1262]) ).

cnf(s215,plain,
    ( ~ spl2_84
    | ~ spl2_85 ),
    inference(sat_conversion,[],[f1270]) ).

cnf(s216,plain,
    ( ~ spl2_69
    | ~ spl2_84 ),
    inference(sat_conversion,[],[f1271]) ).

cnf(s217,plain,
    ( ~ spl2_17
    | ~ spl2_85 ),
    inference(sat_conversion,[],[f1275]) ).

cnf(s219,plain,
    ( ~ spl2_75
    | ~ spl2_85 ),
    inference(sat_conversion,[],[f1279]) ).

cnf(s221,plain,
    ( ~ spl2_69
    | ~ spl2_70 ),
    inference(sat_conversion,[],[f1282]) ).

cnf(s224,plain,
    ( ~ spl2_31
    | ~ spl2_81 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s225,plain,
    ( ~ spl2_65
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s227,plain,
    ( ~ spl2_90
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s229,plain,
    ( ~ spl2_91
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f1318]) ).

cnf(s231,plain,
    ( ~ spl2_61
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f1322]) ).

cnf(s235,plain,
    ( ~ spl2_63
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f1361]) ).

cnf(s236,plain,
    ( spl2_1
    | ~ spl2_7
    | ~ spl2_19 ),
    inference(sat_conversion,[],[f1362]) ).

cnf(s237,plain,
    ( ~ spl2_1
    | ~ spl2_7
    | spl2_19 ),
    inference(sat_conversion,[],[f1364]) ).

cnf(s238,plain,
    ( ~ spl2_64
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s242,plain,
    ( spl2_38
    | ~ spl2_81
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f1383]) ).

cnf(s247,plain,
    ( ~ spl2_81
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s248,plain,
    ( ~ spl2_95
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f1401]) ).

cnf(s249,plain,
    ( ~ spl2_55
    | ~ spl2_59 ),
    inference(sat_conversion,[],[f1403]) ).

cnf(s251,plain,
    ( ~ spl2_67
    | ~ spl2_81 ),
    inference(sat_conversion,[],[f1404]) ).

cnf(s258,plain,
    ( ~ spl2_68
    | ~ spl2_83 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s260,plain,
    ( ~ spl2_71
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s261,plain,
    ( ~ spl2_89
    | ~ spl2_95 ),
    inference(sat_conversion,[],[f1426]) ).

cnf(s262,plain,
    ( ~ spl2_85
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s266,plain,
    ( ~ spl2_93
    | ~ spl2_100 ),
    inference(sat_conversion,[],[f1457]) ).

cnf(s267,plain,
    ( ~ spl2_102
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s269,plain,
    ( ~ spl2_19
    | ~ spl2_25
    | spl2_34 ),
    inference(sat_conversion,[],[f1536]) ).

cnf(s270,plain,
    ( spl2_13
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f1541]) ).

cnf(s274,plain,
    ( ~ spl2_22
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f1548]) ).

cnf(s278,plain,
    ( ~ spl2_22
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f1552]) ).

cnf(s280,plain,
    ( ~ spl2_56
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f1553]) ).

cnf(s282,plain,
    ( spl2_50
    | ~ spl2_66
    | ~ spl2_95 ),
    inference(sat_conversion,[],[f1556]) ).

cnf(s283,plain,
    ( ~ spl2_57
    | ~ spl2_66 ),
    inference(sat_conversion,[],[f1557]) ).

cnf(s284,plain,
    ( ~ spl2_68
    | ~ spl2_69 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s285,plain,
    ( ~ spl2_19
    | ~ spl2_69 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s286,plain,
    ( ~ spl2_56
    | ~ spl2_93 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s288,plain,
    ( ~ spl2_93
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s289,plain,
    ( ~ spl2_59
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f1576]) ).

cnf(s291,plain,
    ( ~ spl2_7
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s300,plain,
    ( ~ spl2_25
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s302,plain,
    ( ~ spl2_68
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s303,plain,
    ( ~ spl2_83
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s304,plain,
    ( ~ spl2_66
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s305,plain,
    ( ~ spl2_10
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s307,plain,
    ( ~ spl2_100
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f1682]) ).

cnf(s308,plain,
    ( ~ spl2_86
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f1688]) ).

cnf(s309,plain,
    ( ~ spl2_71
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s310,plain,
    ( spl2_40
    | ~ spl2_59
    | ~ spl2_71 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s313,plain,
    ( ~ spl2_56
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f1698]) ).

cnf(s315,plain,
    ( ~ spl2_25
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f1699]) ).

cnf(s319,plain,
    ( spl2_48
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s321,plain,
    ( ~ spl2_10
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s323,plain,
    ( spl2_53
    | ~ spl2_72
    | ~ spl2_102 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s325,plain,
    ( ~ spl2_17
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f1805]) ).

cnf(s327,plain,
    ( ~ spl2_92
    | ~ spl2_102 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s328,plain,
    ( ~ spl2_77
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f1811]) ).

cnf(s329,plain,
    ( ~ spl2_56
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s330,plain,
    ( ~ spl2_10
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f1822]) ).

cnf(s332,plain,
    ( ~ spl2_70
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s333,plain,
    ( ~ spl2_71
    | ~ spl2_72 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s335,plain,
    ( ~ spl2_84
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f1830]) ).

cnf(s336,plain,
    ( ~ spl2_31
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s358,plain,
    ( ~ spl2_14
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s360,plain,
    ( ~ spl2_57
    | ~ spl2_65 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s361,plain,
    ( ~ spl2_57
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f1844]) ).

cnf(s364,plain,
    ( ~ spl2_88
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f1845]) ).

cnf(s368,plain,
    ( spl2_49
    | ~ spl2_57 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s369,plain,
    ( spl2_8
    | ~ spl2_17
    | ~ spl2_22
    | ~ spl2_79 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s370,plain,
    ( ~ spl2_17
    | ~ spl2_22
    | spl2_27 ),
    inference(sat_conversion,[],[f1943]) ).

cnf(s371,plain,
    ( spl2_18
    | ~ spl2_19
    | ~ spl2_31 ),
    inference(sat_conversion,[],[f1946]) ).

cnf(s378,plain,
    ( ~ spl2_77
    | ~ spl2_93 ),
    inference(sat_conversion,[],[f1951]) ).

cnf(s385,plain,
    ( spl2_16
    | ~ spl2_17
    | ~ spl2_31 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s387,plain,
    ( ~ spl2_91
    | ~ spl2_93 ),
    inference(sat_conversion,[],[f1975]) ).

cnf(s389,plain,
    ( ~ spl2_91
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f1976]) ).

cnf(s390,plain,
    ( ~ spl2_79
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s393,plain,
    ( ~ spl2_82
    | ~ spl2_83 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s395,plain,
    ( ~ spl2_57
    | ~ spl2_95 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s396,plain,
    ( spl2_40
    | ~ spl2_79
    | ~ spl2_95 ),
    inference(sat_conversion,[],[f1985]) ).

cnf(s407,plain,
    ( spl2_39
    | ~ spl2_75
    | ~ spl2_93 ),
    inference(sat_conversion,[],[f1990]) ).

cnf(s408,plain,
    ( ~ spl2_75
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f1991]) ).

cnf(s410,plain,
    ( spl2_3
    | ~ spl2_17
    | ~ spl2_31
    | ~ spl2_75 ),
    inference(sat_conversion,[],[f2054]) ).

cnf(s413,plain,
    ( ~ spl2_7
    | ~ spl2_75 ),
    inference(sat_conversion,[],[f2057]) ).

cnf(s418,plain,
    ( ~ spl2_25
    | ~ spl2_61 ),
    inference(sat_conversion,[],[f2059]) ).

cnf(s429,plain,
    ( ~ spl2_59
    | ~ spl2_61 ),
    inference(sat_conversion,[],[f2060]) ).

cnf(s431,plain,
    ( ~ spl2_17
    | ~ spl2_68 ),
    inference(sat_conversion,[],[f2061]) ).

cnf(s433,plain,
    ( ~ spl2_79
    | ~ spl2_81 ),
    inference(sat_conversion,[],[f2062]) ).

cnf(s446,plain,
    ( spl2_47
    | ~ spl2_94
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s448,plain,
    ( ~ spl2_78
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s455,plain,
    ( spl2_39
    | ~ spl2_85
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f2082]) ).

cnf(s457,plain,
    ( ~ spl2_7
    | ~ spl2_25
    | spl2_33
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f2191]) ).

cnf(s458,plain,
    ( ~ spl2_7
    | ~ spl2_25
    | spl2_30 ),
    inference(sat_conversion,[],[f2195]) ).

cnf(s485,plain,
    ( ~ spl2_99
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f2204]) ).

cnf(s491,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_20
    | ~ spl2_85 ),
    inference(sat_conversion,[],[f2272]) ).

cnf(s492,plain,
    ( spl2_1
    | ~ spl2_17
    | ~ spl2_58 ),
    inference(sat_conversion,[],[f2273]) ).

cnf(s494,plain,
    ( ~ spl2_61
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f2276]) ).

cnf(s495,plain,
    ( ~ spl2_60
    | ~ spl2_61 ),
    inference(sat_conversion,[],[f2277]) ).

cnf(s498,plain,
    ( ~ spl2_5
    | ~ spl2_79 ),
    inference(sat_conversion,[],[f2279]) ).

cnf(s500,plain,
    ( ~ spl2_84
    | ~ spl2_100 ),
    inference(sat_conversion,[],[f2280]) ).

cnf(s504,plain,
    ( ~ spl2_60
    | ~ spl2_102 ),
    inference(sat_conversion,[],[f2288]) ).

cnf(s506,plain,
    ( ~ spl2_62
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f2295]) ).

cnf(s509,plain,
    ( ~ spl2_17
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f2297]) ).

cnf(s510,plain,
    ( ~ spl2_14
    | ~ spl2_60 ),
    inference(sat_conversion,[],[f2298]) ).

cnf(s515,plain,
    ( ~ spl2_80
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f2301]) ).

cnf(s521,plain,
    ( ~ spl2_83
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f2304]) ).

cnf(s524,plain,
    ( spl2_43
    | ~ spl2_96
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f2305]) ).

cnf(s526,plain,
    ( ~ spl2_62
    | ~ spl2_63 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s527,plain,
    ( spl2_38
    | ~ spl2_61
    | ~ spl2_73 ),
    inference(sat_conversion,[],[f2308]) ).

cnf(s529,plain,
    ( ~ spl2_63
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s533,plain,
    ( ~ spl2_62
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f2312]) ).

cnf(s534,plain,
    ( ~ spl2_77
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s535,plain,
    ( ~ spl2_65
    | ~ spl2_83 ),
    inference(sat_conversion,[],[f2314]) ).

cnf(s537,plain,
    ( ~ spl2_12
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f2316]) ).

cnf(s538,plain,
    ( ~ spl2_5
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f2317]) ).

cnf(s545,plain,
    ( spl2_53
    | ~ spl2_93
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f2318]) ).

cnf(s549,plain,
    ( spl2_44
    | ~ spl2_98
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f2319]) ).

cnf(s551,plain,
    ( ~ spl2_87
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f2320]) ).

cnf(s561,plain,
    ( ~ spl2_98
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f2321]) ).

cnf(s563,plain,
    ( ~ spl2_21
    | spl2_31
    | ~ spl2_58 ),
    inference(sat_conversion,[],[f2434]) ).

cnf(s568,plain,
    ( spl2_54
    | ~ spl2_58 ),
    inference(sat_conversion,[],[f2471]) ).

cnf(s580,plain,
    ( spl2_6
    | ~ spl2_12
    | ~ spl2_56 ),
    inference(sat_conversion,[],[f2478]) ).

cnf(s583,plain,
    ( ~ spl2_12
    | ~ spl2_59 ),
    inference(sat_conversion,[],[f2479]) ).

cnf(s602,plain,
    ( ~ spl2_12
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f2480]) ).

cnf(s605,plain,
    ( ~ spl2_58
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f2483]) ).

cnf(s606,plain,
    ( spl2_52
    | ~ spl2_95
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f2484]) ).

cnf(s609,plain,
    ( spl2_51
    | ~ spl2_65
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f2487]) ).

cnf(s612,plain,
    ( ~ spl2_4
    | spl2_19
    | ~ spl2_56 ),
    inference(sat_conversion,[],[f2535]) ).

cnf(s614,plain,
    ( ~ spl2_7
    | ~ spl2_14
    | spl2_32
    | ~ spl2_100 ),
    inference(sat_conversion,[],[f2569]) ).

cnf(s615,plain,
    ( ~ spl2_7
    | ~ spl2_14
    | spl2_28 ),
    inference(sat_conversion,[],[f2573]) ).

cnf(s617,plain,
    ( ~ spl2_19
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f2577]) ).

cnf(s625,plain,
    ( spl2_11
    | ~ spl2_14
    | ~ spl2_57 ),
    inference(sat_conversion,[],[f2582]) ).

cnf(s629,plain,
    ( ~ spl2_87
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f2583]) ).

cnf(s630,plain,
    ( spl2_44
    | ~ spl2_72
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f2584]) ).

cnf(s654,plain,
    ( ~ spl2_85
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f2647]) ).

cnf(s656,plain,
    ( ~ spl2_58
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f2650]) ).

cnf(s657,plain,
    ( ~ spl2_7
    | spl2_8
    | ~ spl2_19
    | ~ spl2_81 ),
    inference(sat_conversion,[],[f2658]) ).

cnf(s658,plain,
    ( spl2_46
    | ~ spl2_80
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f2659]) ).

cnf(s661,plain,
    ( ~ spl2_29
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f2664]) ).

cnf(s683,plain,
    ( ~ spl2_4
    | ~ spl2_12
    | spl2_17 ),
    inference(sat_conversion,[],[f2744]) ).

cnf(s689,plain,
    ( ~ spl2_12
    | ~ spl2_22
    | spl2_36 ),
    inference(sat_conversion,[],[f2747]) ).

cnf(s705,plain,
    ( ~ spl2_58
    | ~ spl2_69 ),
    inference(sat_conversion,[],[f2753]) ).

cnf(s718,plain,
    ( ~ spl2_82
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f2757]) ).

cnf(s720,plain,
    ( ~ spl2_29
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f2758]) ).

cnf(s723,plain,
    ( ~ spl2_19
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f2761]) ).

cnf(s726,plain,
    ( spl2_47
    | ~ spl2_73
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f2763]) ).

cnf(s735,plain,
    ( ~ spl2_66
    | ~ spl2_67 ),
    inference(sat_conversion,[],[f2768]) ).

cnf(s738,plain,
    ( ~ spl2_67
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f2777]) ).

cnf(s740,plain,
    ( ~ spl2_67
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f2779]) ).

cnf(s742,plain,
    ( spl2_4
    | ~ spl2_12
    | ~ spl2_17 ),
    inference(sat_conversion,[],[f2780]) ).

cnf(s748,plain,
    ( ~ spl2_1
    | spl2_17
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f2866]) ).

cnf(s749,plain,
    ( spl2_41
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f2880]) ).

cnf(s750,plain,
    ( spl2_51
    | ~ spl2_86
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f2884]) ).

cnf(s754,plain,
    ( ~ spl2_74
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f2886]) ).

cnf(s758,plain,
    ( spl2_46
    | ~ spl2_62
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f2901]) ).

cnf(s762,plain,
    ( ~ spl2_10
    | ~ spl2_12
    | spl2_32
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f2955]) ).

cnf(s763,plain,
    ( ~ spl2_10
    | ~ spl2_12
    | spl2_35 ),
    inference(sat_conversion,[],[f2960]) ).

cnf(s764,plain,
    ( ~ spl2_31
    | ~ spl2_83 ),
    inference(sat_conversion,[],[f2961]) ).

cnf(s780,plain,
    ( ~ spl2_12
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f2964]) ).

cnf(s789,plain,
    ( spl2_40
    | ~ spl2_84
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f2967]) ).

cnf(s792,plain,
    ( spl2_38
    | ~ spl2_76
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f2977]) ).

cnf(s795,plain,
    ( ~ spl2_10
    | spl2_30
    | ~ spl2_31 ),
    inference(sat_conversion,[],[f3031]) ).

cnf(s798,plain,
    ( ~ spl2_10
    | spl2_23
    | ~ spl2_31
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s799,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | spl2_58 ),
    inference(sat_conversion,[],[f3058]) ).

cnf(s811,plain,
    ( ~ spl2_64
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f3069]) ).

cnf(s825,plain,
    ( ~ spl2_10
    | ~ spl2_75 ),
    inference(sat_conversion,[],[f3084]) ).

cnf(s826,plain,
    ( ~ spl2_19
    | ~ spl2_84 ),
    inference(sat_conversion,[],[f3089]) ).

cnf(s833,plain,
    ( ~ spl2_58
    | ~ spl2_70 ),
    inference(sat_conversion,[],[f3092]) ).

cnf(s847,plain,
    ( spl2_48
    | ~ spl2_74
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f3097]) ).

cnf(s852,plain,
    ( ~ spl2_48
    | spl2_74
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f3102]) ).

cnf(s854,plain,
    ( ~ spl2_10
    | spl2_11
    | ~ spl2_19
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f3138]) ).

cnf(s862,plain,
    ( ~ spl2_25
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f3144]) ).

cnf(s887,plain,
    ( spl2_47
    | ~ spl2_67
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f3152]) ).

cnf(s888,plain,
    ( ~ spl2_68
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f3153]) ).

cnf(s923,plain,
    ( ~ spl2_11
    | ~ spl2_25
    | ~ spl2_29
    | spl2_72 ),
    inference(sat_conversion,[],[f3257]) ).

cnf(s924,plain,
    ( spl2_15
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f3265]) ).

cnf(s925,plain,
    ( ~ spl2_25
    | ~ spl2_29
    | spl2_35 ),
    inference(sat_conversion,[],[f3270]) ).

cnf(s926,plain,
    ( ~ spl2_14
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f3271]) ).

cnf(s927,plain,
    ( ~ spl2_14
    | ~ spl2_91 ),
    inference(sat_conversion,[],[f3272]) ).

cnf(s934,plain,
    ( ~ spl2_65
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f3276]) ).

cnf(s936,plain,
    ( ~ spl2_68
    | ~ spl2_70 ),
    inference(sat_conversion,[],[f3277]) ).

cnf(s956,plain,
    ( ~ spl2_80
    | ~ spl2_95 ),
    inference(sat_conversion,[],[f3279]) ).

cnf(s957,plain,
    ( spl2_50
    | ~ spl2_99
    | ~ spl2_100 ),
    inference(sat_conversion,[],[f3280]) ).

cnf(s960,plain,
    ( ~ spl2_76
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f3281]) ).

cnf(s970,plain,
    ( ~ spl2_14
    | spl2_26
    | ~ spl2_31
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f3404]) ).

cnf(s973,plain,
    ( ~ spl2_1
    | ~ spl2_17
    | spl2_58 ),
    inference(sat_conversion,[],[f3412]) ).

cnf(s988,plain,
    ( ~ spl2_55
    | ~ spl2_61 ),
    inference(sat_conversion,[],[f3414]) ).

cnf(s991,plain,
    ( ~ spl2_55
    | ~ spl2_71 ),
    inference(sat_conversion,[],[f3415]) ).

cnf(s993,plain,
    ( ~ spl2_95
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f3416]) ).

cnf(s1003,plain,
    ( spl2_52
    | ~ spl2_71
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f3421]) ).

cnf(s1005,plain,
    ( spl2_9
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(sat_conversion,[],[f3433]) ).

cnf(s1009,plain,
    ( ~ spl2_9
    | ~ spl2_14
    | spl2_17 ),
    inference(sat_conversion,[],[f3437]) ).

cnf(s1012,plain,
    ( ~ spl2_14
    | spl2_15
    | ~ spl2_17
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f3475]) ).

cnf(s1041,plain,
    ( ~ spl2_12
    | spl2_13
    | ~ spl2_17
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f3504]) ).

cnf(s1044,plain,
    ( spl2_1
    | ~ spl2_17
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f3505]) ).

cnf(s1053,plain,
    ( ~ spl2_55
    | ~ spl2_72 ),
    inference(sat_conversion,[],[f3508]) ).

cnf(s1054,plain,
    ( ~ spl2_62
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f3509]) ).

cnf(s1060,plain,
    ( spl2_43
    | ~ spl2_64
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f3510]) ).

cnf(s1156,plain,
    ( ~ spl2_58
    | ~ spl2_68 ),
    inference(sat_conversion,[],[f3513]) ).

cnf(s1161,plain,
    ( spl2_4
    | ~ spl2_19
    | ~ spl2_58 ),
    inference(sat_conversion,[],[f3515]) ).

cnf(s1171,plain,
    ( spl2_21
    | ~ spl2_31
    | ~ spl2_57 ),
    inference(sat_conversion,[],[f3518]) ).

cnf(s1172,plain,
    ( ~ spl2_14
    | ~ spl2_31
    | spl2_36 ),
    inference(sat_conversion,[],[f3519]) ).

cnf(s1192,plain,
    ( ~ spl2_74
    | ~ spl2_75 ),
    inference(sat_conversion,[],[f3520]) ).

cnf(s1234,plain,
    ( spl2_6
    | ~ spl2_19
    | ~ spl2_31
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f3667]) ).

cnf(s1265,plain,
    ( ~ spl2_22
    | spl2_28
    | ~ spl2_29 ),
    inference(sat_conversion,[],[f3668]) ).

cnf(s1284,plain,
    ( ~ spl2_31
    | ~ spl2_67 ),
    inference(sat_conversion,[],[f3671]) ).

cnf(s1285,plain,
    ( ~ spl2_57
    | ~ spl2_67 ),
    inference(sat_conversion,[],[f3672]) ).

cnf(s1325,plain,
    ( spl2_11
    | ~ spl2_22
    | ~ spl2_29
    | ~ spl2_91 ),
    inference(sat_conversion,[],[f3764]) ).

cnf(s1384,plain,
    ( ~ spl2_12
    | ~ spl2_22
    | spl2_33
    | ~ spl2_83 ),
    inference(sat_conversion,[],[f3856]) ).

cnf(s1405,plain,
    ( ~ spl2_63
    | ~ spl2_75 ),
    inference(sat_conversion,[],[f3858]) ).

cnf(s1414,plain,
    ( ~ spl2_22
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f3860]) ).

cnf(s1415,plain,
    ( ~ spl2_75
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f3861]) ).

cnf(s1416,plain,
    ( ~ spl2_62
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f3862]) ).

cnf(s1425,plain,
    ( spl2_46
    | ~ spl2_86
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f3863]) ).

cnf(s1431,plain,
    ( ~ spl2_12
    | ~ spl2_91 ),
    inference(sat_conversion,[],[f3864]) ).

cnf(s1439,plain,
    ( ~ spl2_5
    | spl2_6
    | ~ spl2_29
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f3957]) ).

cnf(s1440,plain,
    ( spl2_4
    | ~ spl2_5
    | ~ spl2_29 ),
    inference(sat_conversion,[],[f3959]) ).

cnf(s1460,plain,
    ( spl2_48
    | ~ spl2_80
    | ~ spl2_83 ),
    inference(sat_conversion,[],[f3974]) ).

cnf(s1492,plain,
    ( ~ spl2_58
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f3980]) ).

cnf(s1506,plain,
    ( ~ spl2_5
    | ~ spl2_22
    | spl2_23
    | ~ spl2_102 ),
    inference(sat_conversion,[],[f4062]) ).

cnf(s1558,plain,
    ( spl2_44
    | ~ spl2_63
    | ~ spl2_93 ),
    inference(sat_conversion,[],[f4079]) ).

cnf(s1560,plain,
    ( ~ spl2_5
    | ~ spl2_14
    | spl2_34 ),
    inference(sat_conversion,[],[f4086]) ).

cnf(s1573,plain,
    ( ~ spl2_5
    | ~ spl2_14
    | spl2_24
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f4161]) ).

cnf(s1583,plain,
    ( ~ spl2_29
    | ~ spl2_100 ),
    inference(sat_conversion,[],[f4165]) ).

cnf(s1599,plain,
    ( ~ spl2_63
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f4173]) ).

cnf(s1609,plain,
    ( ~ spl2_65
    | ~ spl2_67 ),
    inference(sat_conversion,[],[f4174]) ).

cnf(s1627,plain,
    ( spl2_51
    | ~ spl2_74
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f4176]) ).

cnf(s1638,plain,
    ( spl2_50
    | ~ spl2_71
    | ~ spl2_91 ),
    inference(sat_conversion,[],[f4177]) ).

cnf(s1674,plain,
    ( spl2_9
    | ~ spl2_10
    | ~ spl2_19 ),
    inference(sat_conversion,[],[f4183]) ).

cnf(s1713,plain,
    ( ~ spl2_5
    | ~ spl2_66 ),
    inference(sat_conversion,[],[f4188]) ).

cnf(s1714,plain,
    ( ~ spl2_66
    | ~ spl2_79 ),
    inference(sat_conversion,[],[f4189]) ).

cnf(s1762,plain,
    ( ~ spl2_5
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f4190]) ).

cnf(s1808,plain,
    ( ~ spl2_2
    | ~ spl2_10
    | spl2_20
    | ~ spl2_84 ),
    inference(sat_conversion,[],[f4304]) ).

cnf(s1877,plain,
    ( ~ spl2_2
    | ~ spl2_10
    | spl2_27 ),
    inference(sat_conversion,[],[f4336]) ).

cnf(s1879,plain,
    ( spl2_9
    | ~ spl2_29
    | ~ spl2_58 ),
    inference(sat_conversion,[],[f4392]) ).

cnf(s1881,plain,
    ( ~ spl2_2
    | ~ spl2_41
    | spl2_80 ),
    inference(sat_conversion,[],[f4405]) ).

cnf(s1882,plain,
    ( ~ spl2_2
    | spl2_3
    | ~ spl2_29
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f4422]) ).

cnf(s1883,plain,
    ( spl2_1
    | ~ spl2_2
    | ~ spl2_29 ),
    inference(sat_conversion,[],[f4426]) ).

cnf(s1888,plain,
    ( ~ spl2_2
    | ~ spl2_12
    | spl2_18 ),
    inference(sat_conversion,[],[f4437]) ).

cnf(s1954,plain,
    ( ~ spl2_2
    | ~ spl2_12
    | spl2_24
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f4452]) ).

cnf(s1961,plain,
    ( ~ spl2_21
    | ~ spl2_31
    | spl2_57 ),
    inference(sat_conversion,[],[f4454]) ).

cnf(s1974,plain,
    ( spl2_53
    | ~ spl2_70
    | ~ spl2_106 ),
    inference(sat_conversion,[],[f4456]) ).

cnf(s1987,plain,
    ( ~ spl2_29
    | ~ spl2_70 ),
    inference(sat_conversion,[],[f4459]) ).

cnf(s2009,plain,
    ( spl2_43
    | ~ spl2_73
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f4465]) ).

cnf(s2039,plain,
    ( spl2_39
    | ~ spl2_60
    | ~ spl2_72 ),
    inference(sat_conversion,[],[f4466]) ).

cnf(s2163,plain,
    ( ~ spl2_2
    | ~ spl2_25
    | spl2_26
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f4591]) ).

cnf(s2168,plain,
    ( ~ spl2_2
    | spl2_21
    | ~ spl2_25 ),
    inference(sat_conversion,[],[f4603]) ).

cnf(s2169,plain,
    ( ~ spl2_57
    | spl2_25
    | spl2_22
    | spl2_21
    | spl2_42
    | ~ spl2_37 ),
    inference(rat,[],[s568,s109,s46,s1171,s368]) ).

cnf(s2170,plain,
    ( spl2_25
    | spl2_22
    | spl2_21
    | spl2_42
    | ~ spl2_37
    | spl2_14
    | spl2_10
    | spl2_9 ),
    inference(rat,[],[s109,s61,s1879,s1987,s104,s2169]) ).

cnf(s2171,plain,
    ( ~ spl2_25
    | ~ spl2_56
    | ~ spl2_55
    | spl2_15
    | spl2_12
    | spl2_7 ),
    inference(rat,[],[s215,s85,s95,s924,s390,s65,s107,s178,s140,s284,s936,s70,s59,s300,s315,s991,s249,s329,s313,s198]) ).

cnf(s2172,plain,
    ( ~ spl2_22
    | ~ spl2_56
    | spl2_59
    | spl2_17
    | spl2_11
    | spl2_7 ),
    inference(rat,[],[s1325,s103,s85,s1714,s551,s95,s69,s183,s219,s206,s216,s221,s284,s65,s64,s60,s278,s1414,s329,s286,s198]) ).

cnf(s2173,plain,
    ( ~ spl2_57
    | spl2_22
    | spl2_25
    | spl2_42
    | spl2_63
    | spl2_64
    | spl2_19
    | ~ spl2_55
    | spl2_10
    | spl2_2 ),
    inference(rat,[],[s172,s89,s87,s1415,s174,s81,s76,s160,s165,s332,s67,s61,s764,s109,s568,s46,s360,s368,s988,s28,s749]) ).

cnf(s2174,plain,
    ( spl2_19
    | spl2_17
    | spl2_15
    | spl2_14
    | spl2_12
    | spl2_11
    | spl2_10
    | spl2_9
    | spl2_7
    | spl2_5
    | spl2_2 ),
    inference(rat,[],[s563,s109,s1961,s2173,s2170,s2172,s2171,s31,s194,s203,s280,s99,s249,s28,s749,s94]) ).

cnf(s2175,plain,
    ( spl2_17
    | spl2_15
    | spl2_14
    | spl2_13
    | spl2_12
    | spl2_11
    | spl2_10
    | spl2_9
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_2 ),
    inference(rat,[],[s109,s1234,s270,s70,s98,s167,s1054,s60,s55,s285,s617,s1161,s2174,s991,s94]) ).

cnf(s2176,plain,
    ( ~ spl2_22
    | ~ spl2_17
    | spl2_12
    | spl2_8
    | spl2_5 ),
    inference(rat,[],[s329,s99,s95,s216,s55,s369,s60,s274,s429,s52]) ).

cnf(s2177,plain,
    ( ~ spl2_17
    | spl2_14
    | spl2_12
    | spl2_10
    | spl2_8
    | spl2_5
    | spl2_3
    | spl2_1 ),
    inference(rat,[],[s361,s104,s96,s58,s410,s1284,s109,s2176,s495,s59,s492,s52,s217,s431]) ).

cnf(s2178,plain,
    ( spl2_31
    | spl2_25
    | spl2_22
    | ~ spl2_37
    | spl2_14
    | spl2_12
    | spl2_10
    | spl2_9
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s31,s194,s2170,s99,s563,s1161,s109]) ).

cnf(s2179,plain,
    ( ~ spl2_56
    | ~ spl2_57
    | spl2_25
    | spl2_22
    | ~ spl2_55
    | spl2_10
    | spl2_2 ),
    inference(rat,[],[s31,s2173,s123,s194,s203,s280]) ).

cnf(s2180,plain,
    ( spl2_25
    | spl2_22
    | ~ spl2_55
    | spl2_14
    | spl2_12
    | spl2_10
    | spl2_9
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_2 ),
    inference(rat,[],[s70,s167,s1234,s55,s99,s2179,s104,s58,s1284,s2178,s991,s28,s749]) ).

cnf(s2181,plain,
    ( ~ spl2_29
    | ~ spl2_25
    | ~ spl2_15 ),
    inference(rat,[],[s20,s925]) ).

cnf(s2182,plain,
    ( ~ spl2_25
    | spl2_59
    | spl2_71
    | ~ spl2_15
    | spl2_14
    | spl2_13
    | spl2_12
    | spl2_10
    | spl2_5
    | spl2_2 ),
    inference(rat,[],[s329,s95,s99,s390,s270,s90,s67,s215,s207,s360,s85,s104,s2181,s61,s178,s258,s936,s70,s59,s315]) ).

cnf(s2183,plain,
    ( spl2_14
    | spl2_13
    | spl2_12
    | spl2_11
    | spl2_10
    | spl2_9
    | spl2_8
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s99,s55,s2172,s274,s2180,s2182,s249,s991,s2175,s94,s2177]) ).

cnf(s2184,plain,
    ( ~ spl2_14
    | spl2_12
    | spl2_9
    | spl2_7
    | spl2_5
    | spl2_2 ),
    inference(rat,[],[s22,s970,s1172,s91,s993,s433,s100,s95,s551,s500,s65,s98,s103,s198,s203,s286,s329,s99,s55,s167,s70,s249,s991,s94,s200,s225,s934,s1609,s1005,s56,s926,s927]) ).

cnf(s2185,plain,
    ( ~ spl2_56
    | ~ spl2_25
    | ~ spl2_55
    | spl2_14
    | spl2_12
    | spl2_10
    | spl2_7 ),
    inference(rat,[],[s1285,s105,s104,s485,s328,s2181,s76,s65,s2171,s123,s198,s862,s302,s140,s59,s178,s70,s315,s991]) ).

cnf(s2186,plain,
    ( ~ spl2_25
    | ~ spl2_55
    | ~ spl2_13
    | spl2_14
    | spl2_12
    | spl2_10
    | spl2_7
    | spl2_5 ),
    inference(rat,[],[s269,s19,s99,s2185]) ).

cnf(s2187,plain,
    ( spl2_12
    | spl2_11
    | spl2_10
    | spl2_9
    | spl2_8
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s99,s55,s2172,s274,s2180,s2186,s249,s94,s2183,s2177,s2184]) ).

cnf(s2188,plain,
    ( ~ spl2_22
    | ~ spl2_83
    | ~ spl2_12 ),
    inference(rat,[],[s24,s689,s1384]) ).

cnf(s2189,plain,
    ( spl2_14
    | spl2_72
    | ~ spl2_12
    | spl2_10
    | spl2_5
    | spl2_2 ),
    inference(rat,[],[s2188,s109,s705,s107,s303,s336,s67,s74,s360,s395,s288,s104,s80,s58,s172,s738,s862,s78,s1431,s537,s1416,s147,s53]) ).

cnf(s2190,plain,
    ( spl2_98
    | spl2_74
    | spl2_70
    | spl2_67
    | spl2_29
    | spl2_63
    | spl2_59
    | spl2_89 ),
    inference(rat,[],[s433,s95,s91,s215,s993,s85,s100,s61]) ).

cnf(s2191,plain,
    ( ~ spl2_42
    | spl2_70
    | spl2_58
    | spl2_67
    | spl2_29
    | spl2_57
    | ~ spl2_62
    | spl2_59
    | spl2_90
    | spl2_89
    | spl2_7 ),
    inference(rat,[],[s143,s64,s83,s151,s524,s93,s101,s549,s248,s561,s2190,s758,s29,s30,s32,s1054,s526]) ).

cnf(s2192,plain,
    ( spl2_98
    | spl2_42
    | spl2_31
    | spl2_88
    | spl2_83
    | spl2_29
    | ~ spl2_37
    | spl2_87
    | spl2_63
    | spl2_19
    | spl2_89 ),
    inference(rat,[],[s39,s957,s606,s84,s90,s485,s189,s76,s100]) ).

cnf(s2193,plain,
    ( spl2_84
    | spl2_74
    | spl2_85
    | spl2_42
    | ~ spl2_68
    | spl2_67
    | spl2_101
    | ~ spl2_37
    | spl2_19
    | spl2_56
    | spl2_17 ),
    inference(rat,[],[s446,s33,s73,s105,s319,s266,s307,s68,s77,s284]) ).

cnf(s2194,plain,
    ( ~ spl2_84
    | spl2_81
    | spl2_85
    | spl2_42
    | spl2_22
    | ~ spl2_65
    | spl2_60
    | ~ spl2_37
    | spl2_61
    | spl2_78
    | spl2_91 ),
    inference(rat,[],[s44,s609,s545,s96,s88,s1415,s288,s97,s103,s335,s500,s200]) ).

cnf(s2195,plain,
    ( spl2_11
    | spl2_10
    | spl2_1
    | spl2_9
    | spl2_8
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_3
    | spl2_2 ),
    inference(rat,[],[s609,s96,s36,s1192,s319,s2193,s68,s2194,s202,s101,s262,s561,s2192,s2191,s61,s936,s59,s117,s139,s176,s535,s1609,s87,s56,s130,s358,s510,s625,s2189,s28,s749,s988,s1053,s506,s526,s533,s1054,s94,s53,s133,s580,s583,s602,s742,s780,s1431,s2187]) ).

cnf(s2196,plain,
    ( ~ spl2_12
    | spl2_10
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_2 ),
    inference(rat,[],[s609,s96,s36,s1192,s319,s2193,s68,s2194,s202,s101,s262,s561,s2192,s2191,s61,s936,s59,s117,s139,s176,s535,s1609,s87,s56,s130,s173,s358,s510,s28,s2189,s749,s988,s1053,s506,s526,s533,s1054,s94,s53,s133,s580,s583,s602,s742,s780,s1431]) ).

cnf(s2197,plain,
    ( ~ spl2_25
    | ~ spl2_55
    | spl2_14
    | spl2_12
    | ~ spl2_11
    | spl2_10
    | spl2_7
    | spl2_5
    | spl2_2 ),
    inference(rat,[],[s67,s270,s360,s99,s258,s104,s2186,s2185,s59,s923,s1053]) ).

cnf(s2198,plain,
    ( spl2_10
    | spl2_9
    | spl2_1
    | spl2_2
    | spl2_8
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_3 ),
    inference(rat,[],[s1265,s14,s84,s308,s97,s183,s433,s80,s95,s286,s329,s99,s206,s216,s55,s60,s196,s274,s1414,s2180,s2197,s249,s988,s94,s2177,s2184,s2196,s2195]) ).

cnf(s2199,plain,
    ( ~ spl2_12
    | ~ spl2_10
    | spl2_7
    | spl2_4
    | spl2_2 ),
    inference(rat,[],[s102,s1053,s762,s94,s23,s742,s763,s321,s200,s57]) ).

cnf(s2200,plain,
    ( spl2_9
    | spl2_8
    | spl2_1
    | spl2_2
    | spl2_3
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s798,s107,s16,s216,s795,s68,s90,s154,s515,s1460,s52,s66,s852,s134,s151,s159,s65,s64,s198,s313,s329,s99,s2199,s304,s1714,s57,s321,s825,s1674,s2198]) ).

cnf(s2201,plain,
    ( ~ spl2_12
    | spl2_7
    | spl2_2
    | spl2_6
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s2199,s2196]) ).

cnf(s2202,plain,
    ( ~ spl2_14
    | spl2_10
    | ~ spl2_9
    | spl2_1 ),
    inference(rat,[],[s286,s49,s80,s1012,s492,s1044,s225,s6,s1009,s56,s173]) ).

cnf(s2203,plain,
    ( ~ spl2_25
    | ~ spl2_55
    | spl2_14
    | spl2_10
    | spl2_12
    | spl2_7
    | spl2_5 ),
    inference(rat,[],[s238,s74,s270,s55,s261,s99,s70,s2186,s2185,s315,s991]) ).

cnf(s2204,plain,
    ( ~ spl2_19
    | spl2_25
    | spl2_71
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s1234,s70,s109,s167,s60,s55,s285,s1161]) ).

cnf(s2205,plain,
    ( spl2_22
    | ~ spl2_56
    | spl2_25
    | ~ spl2_55
    | spl2_17
    | spl2_14
    | spl2_10
    | spl2_2 ),
    inference(rat,[],[s67,s303,s160,s107,s69,s389,s705,s1156,s78,s109,s738,s1609,s61,s58,s661,s1987,s104,s2179,s1053,s313]) ).

cnf(s2206,plain,
    ( spl2_10
    | spl2_8
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s14,s1265,s85,s551,s69,s183,s219,s221,s284,s65,s64,s2172,s60,s278,s1414,s2205,s198,s329,s99,s2204,s2203,s249,s991,s94,s2177,s2202,s2201,s2200]) ).

cnf(s2207,plain,
    ( ~ spl2_55
    | ~ spl2_10
    | spl2_12
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s16,s798,s795,s91,s718,s159,s98,s64,s198,s329,s71,s99,s229,s2204,s105,s59,s364,s629,s888,s102,s249,s991,s1053,s825,s330,s321,s735,s200,s57]) ).

cnf(s2208,plain,
    ( spl2_8
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s280,s89,s49,s134,s2176,s492,s52,s94,s2207,s156,s330,s2206,s2201]) ).

cnf(s2209,plain,
    ( ~ spl2_19
    | ~ spl2_55
    | spl2_10
    | spl2_12
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s926,s70,s2203,s167,s2204,s55,s991]) ).

cnf(s2210,plain,
    ( ~ spl2_14
    | spl2_17
    | spl2_12
    | spl2_7
    | spl2_5
    | spl2_2 ),
    inference(rat,[],[s1009,s2184]) ).

cnf(s2211,plain,
    ( spl2_17
    | spl2_10
    | spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_2 ),
    inference(rat,[],[s14,s1265,s84,s308,s68,s183,s219,s206,s216,s65,s64,s2172,s60,s278,s1414,s2205,s2203,s2210,s198,s329,s99,s2209,s249,s94,s2201]) ).

cnf(s2212,plain,
    ( ~ spl2_17
    | ~ spl2_8
    | spl2_7
    | spl2_3
    | spl2_1 ),
    inference(rat,[],[s49,s361,s329,s96,s64,s410,s109,s370,s134,s495,s59,s13,s492,s52,s217,s431,s1044]) ).

cnf(s2213,plain,
    ( spl2_7
    | spl2_6
    | spl2_5
    | spl2_4
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s2207,s2211,s94,s2212,s2208,s2201]) ).

cnf(s2214,plain,
    ( ~ spl2_25
    | spl2_94
    | ~ spl2_7 ),
    inference(rat,[],[s107,s457,s284,s18,s59,s458,s289,s50]) ).

cnf(s2215,plain,
    ( spl2_10
    | spl2_25
    | spl2_63
    | spl2_93
    | spl2_19
    | ~ spl2_7 ),
    inference(rat,[],[s17,s614,s615,s78,s77,s197,s705,s86,s109,s61,s165,s267,s172,s196,s81,s80,s413,s204,s289,s213,s153,s50]) ).

cnf(s2216,plain,
    ( spl2_88
    | spl2_70
    | spl2_68
    | ~ spl2_66
    | spl2_29
    | spl2_57
    | spl2_25
    | spl2_42
    | spl2_92
    | spl2_17
    | spl2_77
    | spl2_2 ),
    inference(rat,[],[s282,s43,s26,s83,s323,s521,s455,s154,s86,s67,s85,s197,s160,s551,s102,s84,s69,s200,s184]) ).

cnf(s2217,plain,
    ( spl2_85
    | spl2_90
    | ~ spl2_88
    | spl2_70
    | spl2_31
    | spl2_97
    | spl2_29
    | spl2_42
    | spl2_12
    | ~ spl2_59
    | spl2_17
    | spl2_2 ),
    inference(rat,[],[s36,s1460,s27,s90,s310,s515,s70,s66,s178,s247,s750,s85,s68,s153,s142]) ).

cnf(s2218,plain,
    ( spl2_83
    | ~ spl2_52
    | ~ spl2_81
    | ~ spl2_101
    | spl2_68
    | spl2_31
    | spl2_97
    | spl2_42
    | spl2_78 ),
    inference(rat,[],[s37,s25,s726,s242,s106,s90]) ).

cnf(s2219,plain,
    ( ~ spl2_7
    | spl2_5
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s27,s39,s310,s282,s98,s83,s393,s521,s2218,s195,s93,s97,s154,s654,s2217,s227,s105,s364,s629,s2216,s221,s284,s60,s121,s186,s1414,s304,s735,s88,s57,s119,s156,s305,s330,s2215,s2214,s31,s194,s203,s286,s313,s99,s289,s429,s53,s50,s135,s204,s205,s236,s291]) ).

cnf(s2220,plain,
    ( ~ spl2_56
    | ~ spl2_10
    | spl2_7
    | spl2_2 ),
    inference(rat,[],[s798,s107,s16,s216,s795,s68,s90,s154,s515,s1460,s52,s66,s852,s134,s151,s159,s65,s64,s198,s313,s329,s825,s321,s1714,s304,s57]) ).

cnf(s2221,plain,
    ( ~ spl2_10
    | ~ spl2_6
    | spl2_7
    | spl2_5
    | spl2_4
    | spl2_2 ),
    inference(rat,[],[s59,s140,s109,s65,s371,s1054,s60,s8,s55,s285,s1161,s99,s2220,s2199,s321]) ).

cnf(s2222,plain,
    ( spl2_17
    | ~ spl2_56
    | spl2_10
    | spl2_7
    | spl2_5
    | spl2_2 ),
    inference(rat,[],[s14,s1265,s84,s308,s68,s183,s219,s206,s216,s65,s64,s2172,s60,s278,s1414,s2205,s2203,s249,s2210,s94,s329,s53,s198]) ).

cnf(s2223,plain,
    ( spl2_8
    | spl2_12
    | spl2_10
    | spl2_1
    | ~ spl2_17
    | spl2_5
    | spl2_3 ),
    inference(rat,[],[s2202,s1005,s2177]) ).

cnf(s2224,plain,
    ( ~ spl2_56
    | spl2_10
    | spl2_5
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s2223,s2212,s2222,s53,s198,s2219]) ).

cnf(s2225,plain,
    ( spl2_12
    | spl2_56
    | ~ spl2_6
    | spl2_7
    | spl2_5
    | spl2_4
    | spl2_2 ),
    inference(rat,[],[s2203,s2210,s94,s52,s418,s109,s371,s60,s8,s285,s1161,s99,s2221]) ).

cnf(s2226,plain,
    ( spl2_7
    | spl2_5
    | spl2_1
    | spl2_4
    | spl2_3
    | spl2_2 ),
    inference(rat,[],[s609,s36,s96,s319,s1192,s68,s2193,s2194,s202,s101,s262,s561,s2192,s2191,s61,s936,s59,s117,s139,s176,s535,s1609,s87,s56,s130,s173,s358,s510,s28,s2189,s749,s988,s1053,s506,s526,s533,s1054,s94,s53,s133,s583,s602,s742,s780,s1431,s2225,s2224,s2221,s2213]) ).

cnf(s2227,plain,
    ( spl2_5
    | spl2_4
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s2226,s2219]) ).

cnf(s2228,plain,
    ( ~ spl2_7
    | ~ spl2_5
    | spl2_2 ),
    inference(rat,[],[s361,s66,s49,s247,s656,s68,s491,s153,s249,s9,s50,s135,s210,s498,s203,s54]) ).

cnf(s2229,plain,
    ( ~ spl2_22
    | spl2_7
    | spl2_29
    | ~ spl2_5 ),
    inference(rat,[],[s79,s181,s56,s1506,s85,s225,s10,s221,s65,s211,s60,s278,s526,s235,s164,s54]) ).

cnf(s2230,plain,
    ( ~ spl2_57
    | spl2_88
    | spl2_72
    | spl2_22
    | spl2_64
    | spl2_79
    | spl2_2 ),
    inference(rat,[],[s89,s328,s159,s102,s66,s360,s361]) ).

cnf(s2231,plain,
    ( ~ spl2_14
    | ~ spl2_87
    | ~ spl2_5 ),
    inference(rat,[],[s21,s1560,s1573]) ).

cnf(s2232,plain,
    ( ~ spl2_55
    | spl2_29
    | ~ spl2_5
    | spl2_2 ),
    inference(rat,[],[s2231,s104,s2230,s629,s76,s174,s70,s991,s1053,s498,s115,s111,s57,s1713,s1599,s235,s164,s54,s2229,s2228]) ).

cnf(s2233,plain,
    ( spl2_4
    | spl2_3
    | spl2_1
    | spl2_2 ),
    inference(rat,[],[s361,s96,s49,s495,s492,s52,s217,s94,s2232,s2228,s203,s1405,s54,s1440,s2227]) ).

cnf(s2234,plain,
    ( ~ spl2_7
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s2228,s2219]) ).

cnf(s2235,plain,
    ( ~ spl2_10
    | spl2_72
    | spl2_12
    | spl2_5
    | spl2_7
    | spl2_2 ),
    inference(rat,[],[s854,s105,s4,s364,s1674,s102,s99,s200,s735,s2220,s57,s321,s330]) ).

cnf(s2236,plain,
    ( spl2_17
    | spl2_5
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s81,s448,s219,s65,s183,s68,s1054,s1599,s69,s656,s1156,s55,s617,s799,s826,s99,s2224,s2235,s1053,s683,s94,s2234,s2233]) ).

cnf(s2237,plain,
    ( spl2_5
    | spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s74,s1041,s147,s395,s5,s53,s49,s99,s612,s799,s492,s1044,s2236,s2233]) ).

cnf(s2238,plain,
    ( ~ spl2_55
    | spl2_6
    | ~ spl2_5
    | spl2_2 ),
    inference(rat,[],[s1439,s70,s2232,s991,s111,s164,s54]) ).

cnf(s2239,plain,
    ( spl2_3
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s361,s96,s49,s495,s492,s52,s217,s94,s2238,s1405,s612,s2,s54,s115,s2237,s2233,s2234]) ).

cnf(s2240,plain,
    ( ~ spl2_56
    | spl2_17
    | spl2_5
    | spl2_7
    | spl2_2 ),
    inference(rat,[],[s2222,s2220]) ).

cnf(s2241,plain,
    ( ~ spl2_10
    | ~ spl2_55
    | spl2_4
    | spl2_5
    | spl2_7
    | spl2_2 ),
    inference(rat,[],[s2221,s2207,s2199]) ).

cnf(s2242,plain,
    ( spl2_17
    | spl2_4
    | spl2_5
    | spl2_7
    | spl2_2 ),
    inference(rat,[],[s609,s96,s36,s1192,s319,s2193,s68,s2194,s202,s101,s262,s561,s2192,s2191,s61,s936,s59,s117,s139,s176,s535,s1609,s87,s56,s130,s173,s358,s510,s506,s526,s533,s1054,s2189,s53,s133,s602,s780,s1431,s2225,s2211,s2241,s2240,s28,s249,s749,s988,s1053,s94]) ).

cnf(s2243,plain,
    ( spl2_4
    | spl2_5
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s13,s2176,s370,s109,s385,s59,s7,s492,s742,s431,s2242,s2234,s2239]) ).

cnf(s2244,plain,
    ( spl2_17
    | ~ spl2_4
    | spl2_5
    | spl2_7
    | spl2_2 ),
    inference(rat,[],[s448,s81,s65,s219,s183,s68,s69,s1054,s1599,s656,s1156,s55,s617,s799,s826,s2235,s99,s1053,s2240,s683,s94]) ).

cnf(s2245,plain,
    ( spl2_5
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s146,s67,s360,s53,s2188,s49,s99,s109,s612,s385,s799,s59,s7,s492,s431,s1044,s2244,s2243,s2234,s2239]) ).

cnf(s2246,plain,
    ( spl2_29
    | spl2_2
    | spl2_1 ),
    inference(rat,[],[s385,s109,s59,s7,s492,s431,s94,s2229,s2232,s2234,s2239,s2245]) ).

cnf(s2247,plain,
    ( spl2_2
    | spl2_1 ),
    inference(rat,[],[s492,s49,s94,s2238,s2,s1440,s125,s2246,s203,s54,s2245,s2234]) ).

cnf(s2248,plain,
    ( ~ spl2_10
    | ~ spl2_84
    | ~ spl2_2 ),
    inference(rat,[],[s15,s1808,s1877]) ).

cnf(s2249,plain,
    ( ~ spl2_25
    | ~ spl2_104
    | ~ spl2_2 ),
    inference(rat,[],[s12,s2168,s2163]) ).

cnf(s2250,plain,
    ( ~ spl2_56
    | spl2_1 ),
    inference(rat,[],[s2249,s109,s1492,s84,s61,s183,s165,s80,s81,s2248,s500,s68,s151,s960,s1414,s64,s203,s286,s329,s1883,s114,s110,s181,s136,s51,s2247]) ).

cnf(s2251,plain,
    ( ~ spl2_10
    | spl2_1 ),
    inference(rat,[],[s656,s68,s49,s2248,s156,s114,s181,s749,s1881,s145,s51,s2247,s2250]) ).

cnf(s2252,plain,
    ( ~ spl2_19
    | spl2_1 ),
    inference(rat,[],[s81,s165,s1599,s85,s55,s723,s1883,s181,s136,s51,s2247,s2251]) ).

cnf(s2253,plain,
    ( ~ spl2_12
    | spl2_1 ),
    inference(rat,[],[s100,s1954,s526,s11,s53,s780,s1888,s395,s104,s2251,s510,s51,s1883,s2247]) ).

cnf(s2254,plain,
    ( ~ spl2_88
    | spl2_86
    | spl2_1 ),
    inference(rat,[],[s1003,s38,s30,s71,s27,s70,s1558,s229,s789,s174,s80,s105,s76,s183,s364,s629,s1285,s368,s235,s164,s153,s68,s181,s114,s960,s97,s495,s224,s109,s59,s936,s833,s108,s529,s54,s504,s207,s104,s2251,s510,s51,s2229,s99,s2253,s2252,s2250,s110,s1883,s2247]) ).

cnf(s2255,plain,
    ( spl2_77
    | spl2_86
    | spl2_1 ),
    inference(rat,[],[s42,s26,s30,s2039,s1558,s102,s80,s368,s360,s960,s97,s495,s224,s109,s59,s936,s833,s2229,s110,s1974,s84,s2254,s500,s68,s181,s114,s108,s529,s54,s99,s2253,s2252,s2250,s504,s207,s104,s2251,s510,s51,s1883,s2247]) ).

cnf(s2256,plain,
    ( spl2_86
    | spl2_1 ),
    inference(rat,[],[s42,s29,s25,s2009,s792,s106,s88,s534,s2255,s101,s1974,s485,s84,s2254,s500,s97,s68,s114,s495,s181,s368,s1762,s1599,s764,s224,s109,s59,s936,s833,s108,s529,s54,s504,s207,s104,s2251,s510,s51,s2229,s99,s2253,s2252,s2250,s110,s1883,s2247]) ).

cnf(s2257,plain,
    ( ~ spl2_2
    | spl2_1 ),
    inference(rat,[],[s34,s32,s26,s1425,s2039,s76,s63,s174,s309,s847,s138,s87,s88,s172,s754,s89,s64,s151,s2256,s59,s936,s108,s235,s529,s1599,s2229,s54,s99,s2253,s2252,s207,s368,s104,s2251,s2250,s749,s1881,s136,s145,s495,s504,s510,s51,s110,s1883]) ).

cnf(s2258,plain,
    spl2_1,
    inference(rat,[],[s2257,s2247]) ).

cnf(s2259,plain,
    ( spl2_77
    | ~ spl2_53
    | spl2_88
    | spl2_103
    | ~ spl2_57
    | ~ spl2_5
    | ~ spl2_60 ),
    inference(rat,[],[s42,s26,s30,s2039,s1558,s102,s80,s54,s57,s1713,s368,s360]) ).

cnf(s2260,plain,
    ( spl2_88
    | spl2_100
    | ~ spl2_76
    | spl2_22
    | spl2_29
    | ~ spl2_5
    | ~ spl2_60 ),
    inference(rat,[],[s42,s29,s25,s2009,s792,s106,s88,s534,s2259,s101,s1974,s485,s84,s1762,s1599,s529,s368,s104,s510,s57,s1713,s764,s109,s59,s936,s833,s85,s181,s235,s54,s960]) ).

cnf(s2261,plain,
    ( spl2_86
    | spl2_29
    | ~ spl2_5
    | ~ spl2_2 ),
    inference(rat,[],[s38,s1003,s30,s71,s27,s70,s1558,s229,s789,s174,s80,s105,s76,s183,s364,s629,s2260,s960,s153,s500,s97,s68,s114,s495,s115,s111,s164,s1285,s368,s104,s510,s57,s1713,s224,s109,s59,s936,s833,s85,s181,s51,s235,s54,s2229,s110]) ).

cnf(s2262,plain,
    ( spl2_29
    | ~ spl2_5
    | ~ spl2_2 ),
    inference(rat,[],[s34,s32,s26,s1425,s2039,s76,s78,s174,s389,s847,s87,s107,s88,s172,s754,s89,s64,s151,s2261,s59,s221,s936,s368,s85,s104,s2229,s110,s510,s495,s181,s136,s51,s538,s115,s57,s1713,s1599,s529,s235,s54]) ).

cnf(s2263,plain,
    ( ~ spl2_5
    | ~ spl2_2 ),
    inference(rat,[],[s656,s97,s251,s49,s1882,s58,s125,s2262,s203,s54,s1,s748,s114,s495,s51,s2258]) ).

cnf(s2264,plain,
    ( ~ spl2_12
    | spl2_95
    | ~ spl2_2 ),
    inference(rat,[],[s100,s1954,s526,s11,s53,s780,s1888]) ).

cnf(s2265,plain,
    ( ~ spl2_57
    | ~ spl2_84
    | spl2_10
    | ~ spl2_2 ),
    inference(rat,[],[s109,s1492,s61,s105,s2249,s165,s229,s960,s81,s103,s64,s203,s286,s329,s99,s2264,s283,s395,s1285,s110,s136,s51,s2263,s826,s500,s60,s216]) ).

cnf(s2266,plain,
    ( spl2_86
    | spl2_10
    | ~ spl2_2 ),
    inference(rat,[],[s97,s251,s1882,s58,s104,s2265,s68,s114,s1,s510,s495,s181,s51,s2258]) ).

cnf(s2267,plain,
    ( spl2_10
    | ~ spl2_2 ),
    inference(rat,[],[s81,s165,s1599,s85,s55,s723,s99,s2264,s125,s395,s49,s329,s64,s151,s656,s2266,s110,s748,s114,s181,s136,s51,s2263,s2258]) ).

cnf(s2268,plain,
    ~ spl2_2,
    inference(rat,[],[s329,s64,s49,s151,s656,s68,s2248,s156,s2267,s136,s181,s748,s51,s110,s114,s2258]) ).

cnf(s2269,plain,
    ( ~ spl2_17
    | ~ spl2_5 ),
    inference(rat,[],[s605,s76,s973,s509,s115,s235,s54,s2258]) ).

cnf(s2270,plain,
    ( spl2_17
    | spl2_7 ),
    inference(rat,[],[s748,s94,s2268,s2258]) ).

cnf(s2271,plain,
    ~ spl2_5,
    inference(rat,[],[s2270,s2269,s2228,s2268]) ).

cnf(s2272,plain,
    spl2_17,
    inference(rat,[],[s49,s656,s361,s97,s66,s811,s657,s142,s429,s55,s123,s3,s50,s237,s748,s2270,s2268,s2258]) ).

cnf(s2273,plain,
    ~ spl2_87,
    inference(rat,[],[s509,s2272]) ).

cnf(s2276,plain,
    ~ spl2_88,
    inference(rat,[],[s325,s2272]) ).

cnf(s2277,plain,
    ~ spl2_85,
    inference(rat,[],[s217,s2272]) ).

cnf(s2278,plain,
    ~ spl2_7,
    inference(rat,[],[s135,s2272]) ).

cnf(s2279,plain,
    ~ spl2_55,
    inference(rat,[],[s122,s2272]) ).

cnf(s2280,plain,
    spl2_61,
    inference(rat,[],[s52,s2272]) ).

cnf(s2281,plain,
    spl2_58,
    inference(rat,[],[s973,s2258,s2272]) ).

cnf(s2283,plain,
    ~ spl2_60,
    inference(rat,[],[s495,s2280]) ).

cnf(s2284,plain,
    ~ spl2_90,
    inference(rat,[],[s494,s2280]) ).

cnf(s2285,plain,
    ~ spl2_59,
    inference(rat,[],[s429,s2280]) ).

cnf(s2286,plain,
    ~ spl2_101,
    inference(rat,[],[s231,s2280]) ).

cnf(s2288,plain,
    ~ spl2_76,
    inference(rat,[],[s134,s2280]) ).

cnf(s2289,plain,
    ~ spl2_106,
    inference(rat,[],[s1492,s2281]) ).

cnf(s2290,plain,
    ~ spl2_70,
    inference(rat,[],[s833,s2281]) ).

cnf(s2291,plain,
    ~ spl2_69,
    inference(rat,[],[s705,s2281]) ).

cnf(s2292,plain,
    ~ spl2_99,
    inference(rat,[],[s605,s2281]) ).

cnf(s2293,plain,
    spl2_54,
    inference(rat,[],[s568,s2281]) ).

cnf(s2294,plain,
    ~ spl2_22,
    inference(rat,[],[s186,s2281]) ).

cnf(s2299,plain,
    ~ spl2_12,
    inference(rat,[],[s101,s1041,s1054,s5,s53,s742,s2284,s2292,s2272]) ).

cnf(s2300,plain,
    spl2_29,
    inference(rat,[],[s1012,s6,s1005,s78,s389,s107,s390,s89,s95,s333,s280,s313,s329,s70,s99,s500,s178,s723,s84,s85,s2272,s2286,s2291,s2294,s2288,s2285,s2299,s2284,s2271,s2276,s2289,s2277,s2290]) ).

cnf(s2301,plain,
    ~ spl2_100,
    inference(rat,[],[s1583,s2300]) ).

cnf(s2302,plain,
    ~ spl2_98,
    inference(rat,[],[s720,s2300]) ).

cnf(s2303,plain,
    ~ spl2_14,
    inference(rat,[],[s130,s2300]) ).

cnf(s2304,plain,
    ~ spl2_57,
    inference(rat,[],[s125,s2300]) ).

cnf(s2305,plain,
    spl2_67,
    inference(rat,[],[s58,s2300]) ).

cnf(s2308,plain,
    spl2_19,
    inference(rat,[],[s76,s2292,s2273,s2302]) ).

cnf(s2309,plain,
    ~ spl2_65,
    inference(rat,[],[s1609,s2305]) ).

cnf(s2310,plain,
    ~ spl2_96,
    inference(rat,[],[s740,s2305]) ).

cnf(s2311,plain,
    ~ spl2_66,
    inference(rat,[],[s735,s2305]) ).

cnf(s2312,plain,
    ~ spl2_103,
    inference(rat,[],[s157,s2305]) ).

cnf(s2313,plain,
    ~ spl2_84,
    inference(rat,[],[s826,s2308]) ).

cnf(s2315,plain,
    spl2_64,
    inference(rat,[],[s55,s2308]) ).

cnf(s2319,plain,
    ~ spl2_63,
    inference(rat,[],[s1599,s2315]) ).

cnf(s2320,plain,
    ~ spl2_62,
    inference(rat,[],[s1054,s2315]) ).

cnf(s2321,plain,
    ( spl2_77
    | spl2_104
    | spl2_10 ),
    inference(rat,[],[s45,s887,s30,s108,s630,s327,s70,s26,s71,s333,s407,s387,s102,s80,s81,s2293,s2305,s2290,s2299,s2284,s2285,s2309,s2276,s2312,s2319]) ).

cnf(s2322,plain,
    ( ~ spl2_37
    | spl2_42
    | ~ spl2_91
    | spl2_80 ),
    inference(rat,[],[s261,s70,s83,s1638,s887,s47,s45,s2299,s2284,s2304,s2305,s2293]) ).

cnf(s2323,plain,
    ( spl2_104
    | spl2_10 ),
    inference(rat,[],[s260,s63,s100,s527,s396,s25,s27,s2322,s29,s1060,s103,s88,s137,s378,s534,s2321,s95,s144,s1192,s81,s2313,s2285,s2294,s2301,s2311,s2315,s2280,s2302,s2319,s2279]) ).

cnf(s2324,plain,
    ~ spl2_104,
    inference(rat,[],[s48,s25,s32,s527,s658,s63,s74,s260,s956,s1627,s137,s79,s64,s96,s65,s267,s408,s448,s2293,s2280,s2279,s2271,s2310,s2303,s2283,s2278,s2288,s2277,s2320]) ).

cnf(s2325,plain,
    ~ spl2_10,
    inference(rat,[],[s119,s2300]) ).

cnf(s2326,plain,
    $false,
    inference(rat,[],[s2323,s2325,s2324]) ).

fof(f4605,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2326]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG150+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n026.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 19:38:42 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.43  % (4175225)Will run a generic schedule for satisfiability detection.
% 0.80/0.43  % (4175248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=52689344:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.43  % (4175244)% WARNING: option uhcvi not known.
% 0.80/0.43  % (4175243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1387204199_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.43  % (4175245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2030153859:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.43  % (4175244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1929667750:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.43  % (4175246)dis+10_1_sil=32000:sp=arity:random_seed=2236771267:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.43  % (4175247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=787203581:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.43  % (4175249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2698038771:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.43  % Detected minimum model sizes of [4]
% 0.80/0.43  % Detected maximum model sizes of [max]
% 0.80/0.43  % TRYING [4]
% 0.80/0.43  % TRYING [5]
% 0.80/0.43  % (4175248)Instruction limit reached! 
% 0.80/0.43  % (4175248)------------------------------
% 0.80/0.43  % (4175248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.43  % (4175248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.43  % (4175248)CaDiCaL version: 2.1.3
% 0.80/0.43  % (4175248)Termination reason: Instruction limit
% 0.80/0.43  % (4175248)Termination phase: Saturation
% 0.80/0.43  % (4175248)Time elapsed: 0.039 s
% 0.80/0.43  % (4175248)Peak memory usage: 13 MB
% 0.80/0.43  % (4175248)Instructions burned: 135 (million)
% 0.80/0.43  % TRYING [6]
% 0.80/0.43  % (4175246)Instruction limit reached! 
% 0.80/0.43  % (4175246)------------------------------
% 0.80/0.43  % (4175246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.43  % (4175246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.43  % (4175246)CaDiCaL version: 2.1.3
% 0.80/0.43  % (4175246)Termination reason: Instruction limit
% 0.80/0.43  % (4175246)Termination phase: Saturation
% 0.80/0.43  % (4175246)Time elapsed: 0.052 s
% 0.80/0.43  % (4175246)Peak memory usage: 12 MB
% 0.80/0.43  % (4175246)Instructions burned: 103 (million)
% 0.80/0.43  % (4175247)Instruction limit reached! 
% 0.80/0.43  % (4175247)------------------------------
% 0.80/0.43  % (4175247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.43  % (4175247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.43  % (4175247)CaDiCaL version: 2.1.3
% 0.80/0.43  % (4175247)Termination reason: Instruction limit
% 0.80/0.43  % (4175247)Termination phase: Saturation
% 0.80/0.43  % (4175247)Time elapsed: 0.059 s
% 0.80/0.43  % (4175247)Peak memory usage: 12 MB
% 0.80/0.43  % (4175247)Instructions burned: 116 (million)
% 0.80/0.43  % (4175282)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=771545729:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.43  % (4175283)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=602167308:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.43  % Detected minimum model sizes of [4]
% 0.80/0.43  % Detected maximum model sizes of [max]
% 0.80/0.43  % TRYING [4]
% 0.80/0.43  % TRYING [7]
% 0.80/0.43  % (4175287)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3110417330:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.43  % TRYING [5]
% 0.80/0.43  % (4175249)Instruction limit reached! 
% 0.80/0.43  % (4175249)------------------------------
% 0.80/0.43  % (4175249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.43  % (4175249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.43  % (4175249)CaDiCaL version: 2.1.3
% 0.80/0.43  % (4175249)Termination reason: Instruction limit
% 0.80/0.43  % (4175249)Termination phase: Saturation
% 0.80/0.43  % (4175249)Time elapsed: 0.090 s
% 0.80/0.43  % (4175249)Peak memory usage: 13 MB
% 0.80/0.43  % (4175249)Instructions burned: 159 (million)
% 0.80/0.43  % (4175283)Instruction limit reached! 
% 0.80/0.43  % (4175283)------------------------------
% 0.80/0.43  % (4175283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.43  % (4175283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.43  % (4175283)CaDiCaL version: 2.1.3
% 0.80/0.43  % (4175283)Termination reason: Instruction limit
% 0.80/0.43  % (4175283)Termination phase: Saturation
% 0.80/0.43  % (4175283)Time elapsed: 0.035 s
% 0.80/0.43  % (4175283)Peak memory usage: 13 MB
% 0.80/0.43  % (4175283)Instructions burned: 134 (million)
% 0.80/0.43  % (4175302)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2801175042:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.80/0.43  % (4175298)ott-21_1_sil=16000:fs=off:random_seed=285973713:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.80/0.43  % TRYING [8]
% 0.80/0.43  % TRYING [6]
% 0.80/0.43  % (4175244) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4175225-4175244"...
% 0.80/0.43  % (4175244)...printing done.
% 0.80/0.43  % (4175244)Refutation found. Thanks to Tanya!
% 0.80/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.80/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.45  % (4175244)------------------------------
% 0.80/0.45  % (4175244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45  % (4175244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45  % (4175244)CaDiCaL version: 2.1.3
% 0.80/0.45  % (4175244)Termination reason: Refutation
% 0.80/0.45  % (4175244)Time elapsed: 0.135 s
% 0.80/0.45  % (4175244)Peak memory usage: 13 MB
% 0.80/0.45  % (4175244)Instructions burned: 261 (million)
% 0.80/0.45  % (4175225)Success in time 0.185 s
% 0.80/0.45  % Vampire exiting
%------------------------------------------------------------------------------