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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG131+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 09:12:33 AM UTC 2026

% Result   : Unsatisfiable 4.66s 1.44s
% Output   : Refutation 6.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f87,plain,
    ( e0 = op(e3,e1)
    | e1 = op(e3,e1)
    | e2 = op(e3,e1)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f89,plain,
    ( e0 = op(e2,e3)
    | e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f91,plain,
    ( e0 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

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

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

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

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

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

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

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

fof(f99,plain,
    ( e0 = op(e0,e1)
    | e1 = op(e0,e1)
    | e2 = op(e0,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f132,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e0,e1)
    | e0 = op(e0,e2)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f169,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

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

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

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

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

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

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

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

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

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

fof(f179,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

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

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

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

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

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

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

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

fof(f187,plain,
    ( e1 != op(e3,e3)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f188,plain,
    ( e1 != op(e2,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

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

fof(f190,plain,
    ( op(e0,e0) != e1
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

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

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

fof(f193,plain,
    ( e2 != op(e3,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

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

fof(f195,plain,
    ( e2 != op(e1,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

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

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

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

fof(f199,plain,
    ( e3 != op(e3,e3)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f200,plain,
    ( e3 != op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f201,plain,
    ( e3 != op(e1,e1)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f202,plain,
    ( op(e0,e0) != e3
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

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

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

fof(f207,plain,
    ( e0 != op(e1,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f208,plain,
    ( e0 != op(e0,e0)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

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

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

fof(f212,plain,
    ( e1 != op(e2,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

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

fof(f214,plain,
    ( op(e0,e0) != e1
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

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

fof(f217,plain,
    ( e2 != op(e3,e3)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f218,plain,
    ( e2 != op(e2,e2)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f219,plain,
    ( e2 != op(e1,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f220,plain,
    ( op(e0,e0) != e2
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

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

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

fof(f223,plain,
    ( e3 != op(e3,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f224,plain,
    ( e3 != op(e2,e2)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f225,plain,
    ( e3 != op(e1,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f226,plain,
    ( op(e0,e0) != e3
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

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

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

fof(f229,plain,
    ( e0 != op(e3,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f230,plain,
    ( e0 != op(e2,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f231,plain,
    ( e0 != op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f232,plain,
    ( e0 != op(e0,e0)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

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

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

fof(f235,plain,
    ( e1 != op(e3,e3)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f236,plain,
    ( e1 != op(e2,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

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

fof(f238,plain,
    ( op(e0,e0) != e1
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

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

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

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

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

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

fof(f248,plain,
    ( e3 != op(e2,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f249,plain,
    ( e3 != op(e1,e1)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f250,plain,
    ( op(e0,e0) != e3
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

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

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

fof(f253,plain,
    ( e0 != op(e3,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f254,plain,
    ( e0 != op(e2,e2)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f255,plain,
    ( e0 != op(e1,e1)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

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

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

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

fof(f259,plain,
    ( e1 != op(e3,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f260,plain,
    ( e1 != op(e2,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f261,plain,
    ( e1 != op(e1,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f262,plain,
    ( op(e0,e0) != e1
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

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

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

fof(f265,plain,
    ( e2 != op(e3,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

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

fof(f267,plain,
    ( e2 != op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f268,plain,
    ( op(e0,e0) != e2
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

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

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

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

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

fof(f277,plain,
    ( e0 != op(e3,e3)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f278,plain,
    ( e0 != op(e2,e2)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f279,plain,
    ( e0 != op(e1,e1)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f69]) ).

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

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

fof(f283,plain,
    ( e0 = op(e0,op(e0,e3))
    | e1 = op(e1,op(e1,e3))
    | e2 = op(e2,op(e2,e3))
    | e3 = op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f69]) ).

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

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

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

fof(f288,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | e1 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f290,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,e1)
    | e3 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f292,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | e3 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f294,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | e0 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f296,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | op(e0,e0) != e2
    | e3 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f297,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f300,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,e1)
    | e3 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f301,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f303,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f306,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f307,plain,
    ( e3 != op(op(e2,op(e2,e2)),e2)
    | e1 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f308,plain,
    ( e3 != op(op(e0,op(e0,e0)),e0)
    | op(e0,e0) != e1
    | e2 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f309,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f310,plain,
    ( e3 != op(op(e0,op(e0,e0)),e0)
    | op(e0,e0) != e2
    | e1 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f312,definition,
    ( spl15_1
  <=> e1 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).

fof(f313,plain,
    ( e1 = op(e0,op(e0,e0))
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f314,plain,
    ( e1 != op(e0,op(e0,e0))
    | spl15_1 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f316,definition,
    ( spl15_2
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).

fof(f317,plain,
    ( op(e0,e0) = e2
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f320,definition,
    ( spl15_3
  <=> e3 = op(op(e0,op(e0,e0)),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).

fof(f322,plain,
    ( e3 != op(op(e0,op(e0,e0)),e0)
    | spl15_3 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f323,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f310,f320,f316,f312]) ).

fof(f325,definition,
    ( spl15_4
  <=> e0 = op(e1,op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).

fof(f326,plain,
    ( e0 = op(e1,op(e1,e1))
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f327,plain,
    ( e0 != op(e1,op(e1,e1))
    | spl15_4 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f329,definition,
    ( spl15_5
  <=> e2 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).

fof(f330,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f333,definition,
    ( spl15_6
  <=> e3 = op(op(e1,op(e1,e1)),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).

fof(f334,plain,
    ( e3 = op(op(e1,op(e1,e1)),e1)
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f335,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | spl15_6 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f336,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f309,f333,f329,f325]) ).

fof(f338,definition,
    ( spl15_7
  <=> e2 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).

fof(f339,plain,
    ( e2 = op(e0,op(e0,e0))
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f340,plain,
    ( e2 != op(e0,op(e0,e0))
    | spl15_7 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f342,definition,
    ( spl15_8
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).

fof(f343,plain,
    ( op(e0,e0) = e1
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f345,plain,
    ( ~ spl15_7
    | ~ spl15_8
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f308,f320,f342,f338]) ).

fof(f347,definition,
    ( spl15_9
  <=> e0 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).

fof(f348,plain,
    ( e0 = op(e2,op(e2,e2))
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( e0 != op(e2,op(e2,e2))
    | spl15_9 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f351,definition,
    ( spl15_10
  <=> e1 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).

fof(f352,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f355,definition,
    ( spl15_11
  <=> e3 = op(op(e2,op(e2,e2)),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).

fof(f357,plain,
    ( e3 != op(op(e2,op(e2,e2)),e2)
    | spl15_11 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f358,plain,
    ( ~ spl15_9
    | ~ spl15_10
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f307,f355,f351,f347]) ).

fof(f360,definition,
    ( spl15_12
  <=> e2 = op(e1,op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).

fof(f361,plain,
    ( e2 = op(e1,op(e1,e1))
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( e2 != op(e1,op(e1,e1))
    | spl15_12 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f364,definition,
    ( spl15_13
  <=> e0 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).

fof(f365,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( e0 != op(e1,e1)
    | spl15_13 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f367,plain,
    ( ~ spl15_12
    | ~ spl15_13
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f306,f333,f364,f360]) ).

fof(f373,definition,
    ( spl15_15
  <=> e0 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).

fof(f374,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_15 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f378,definition,
    ( spl15_16
  <=> op(e0,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).

fof(f379,plain,
    ( op(e0,e0) = e3
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f387,definition,
    ( spl15_18
  <=> e3 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_18])],[avatar_definition]) ).

fof(f388,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_18 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f391,definition,
    ( spl15_19
  <=> e2 = op(op(e1,op(e1,e1)),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_19])],[avatar_definition]) ).

fof(f392,plain,
    ( e2 = op(op(e1,op(e1,e1)),e1)
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f393,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | spl15_19 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f394,plain,
    ( ~ spl15_4
    | ~ spl15_18
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f303,f391,f387,f325]) ).

fof(f396,definition,
    ( spl15_20
  <=> e3 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_20])],[avatar_definition]) ).

fof(f397,plain,
    ( e3 = op(e0,op(e0,e0))
    | ~ spl15_20 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f398,plain,
    ( e3 != op(e0,op(e0,e0))
    | spl15_20 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f401,definition,
    ( spl15_21
  <=> e0 = op(e3,op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_21])],[avatar_definition]) ).

fof(f403,plain,
    ( e0 != op(e3,op(e3,e3))
    | spl15_21 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f405,definition,
    ( spl15_22
  <=> e1 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_22])],[avatar_definition]) ).

fof(f406,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_22 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f409,definition,
    ( spl15_23
  <=> e2 = op(op(e3,op(e3,e3)),e3) ),
    introduced(definition,[new_symbols(definition,[spl15_23])],[avatar_definition]) ).

fof(f411,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | spl15_23 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f412,plain,
    ( ~ spl15_21
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f301,f409,f405,f401]) ).

fof(f414,definition,
    ( spl15_24
  <=> e3 = op(e1,op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_24])],[avatar_definition]) ).

fof(f415,plain,
    ( e3 = op(e1,op(e1,e1))
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( e3 != op(e1,op(e1,e1))
    | spl15_24 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f417,plain,
    ( ~ spl15_24
    | ~ spl15_13
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f300,f391,f364,f414]) ).

fof(f423,definition,
    ( spl15_26
  <=> e0 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_26])],[avatar_definition]) ).

fof(f424,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_26 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f428,definition,
    ( spl15_27
  <=> e1 = op(op(e0,op(e0,e0)),e0) ),
    introduced(definition,[new_symbols(definition,[spl15_27])],[avatar_definition]) ).

fof(f430,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | spl15_27 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f433,definition,
    ( spl15_28
  <=> e3 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_28])],[avatar_definition]) ).

fof(f434,plain,
    ( e3 = op(e2,e2)
    | ~ spl15_28 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f437,definition,
    ( spl15_29
  <=> e1 = op(op(e2,op(e2,e2)),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_29])],[avatar_definition]) ).

fof(f438,plain,
    ( e1 = op(op(e2,op(e2,e2)),e2)
    | ~ spl15_29 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | spl15_29 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f440,plain,
    ( ~ spl15_9
    | ~ spl15_28
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f297,f437,f433,f347]) ).

fof(f441,plain,
    ( ~ spl15_20
    | ~ spl15_2
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f296,f428,f316,f396]) ).

fof(f443,definition,
    ( spl15_30
  <=> e2 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_30])],[avatar_definition]) ).

fof(f444,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_30 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f452,definition,
    ( spl15_32
  <=> e3 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_32])],[avatar_definition]) ).

fof(f453,plain,
    ( e3 = op(e2,op(e2,e2))
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( e3 != op(e2,op(e2,e2))
    | spl15_32 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f455,plain,
    ( ~ spl15_32
    | ~ spl15_15
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f294,f437,f373,f452]) ).

fof(f462,definition,
    ( spl15_34
  <=> e0 = op(op(e1,op(e1,e1)),e1) ),
    introduced(definition,[new_symbols(definition,[spl15_34])],[avatar_definition]) ).

fof(f463,plain,
    ( e0 = op(op(e1,op(e1,e1)),e1)
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | spl15_34 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f465,plain,
    ( ~ spl15_12
    | ~ spl15_18
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f292,f462,f387,f360]) ).

fof(f467,definition,
    ( spl15_35
  <=> e0 = op(op(e2,op(e2,e2)),e2) ),
    introduced(definition,[new_symbols(definition,[spl15_35])],[avatar_definition]) ).

fof(f469,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | spl15_35 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f471,plain,
    ( ~ spl15_24
    | ~ spl15_5
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f290,f462,f329,f414]) ).

fof(f477,plain,
    ( ~ spl15_32
    | ~ spl15_10
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f288,f467,f351,f452]) ).

fof(f480,definition,
    ( spl15_37
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl15_37])],[avatar_definition]) ).

fof(f484,definition,
    ( spl15_38
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl15_38])],[avatar_definition]) ).

fof(f488,definition,
    ( spl15_39
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl15_39])],[avatar_definition]) ).

fof(f492,definition,
    ( spl15_40
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl15_40])],[avatar_definition]) ).

fof(f496,definition,
    ( spl15_41
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl15_41])],[avatar_definition]) ).

fof(f500,definition,
    ( spl15_42
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl15_42])],[avatar_definition]) ).

fof(f504,definition,
    ( spl15_43
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl15_43])],[avatar_definition]) ).

fof(f508,definition,
    ( spl15_44
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl15_44])],[avatar_definition]) ).

fof(f512,definition,
    ( spl15_45
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl15_45])],[avatar_definition]) ).

fof(f516,definition,
    ( spl15_46
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl15_46])],[avatar_definition]) ).

fof(f520,definition,
    ( spl15_47
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl15_47])],[avatar_definition]) ).

fof(f524,definition,
    ( spl15_48
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl15_48])],[avatar_definition]) ).

fof(f528,definition,
    ( spl15_49
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl15_49])],[avatar_definition]) ).

fof(f532,definition,
    ( spl15_50
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl15_50])],[avatar_definition]) ).

fof(f536,definition,
    ( spl15_51
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl15_51])],[avatar_definition]) ).

fof(f539,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f277,f423,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480]) ).

fof(f540,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f278,f373,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480]) ).

fof(f541,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f279,f364,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480]) ).

fof(f543,definition,
    ( spl15_52
  <=> e0 = op(e0,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_52])],[avatar_definition]) ).

fof(f544,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_52 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f545,plain,
    ( e0 != op(e0,e0)
    | spl15_52 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f546,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f280,f543,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480]) ).

fof(f548,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | spl15_52 ),
    inference(avatar_split_clause,[],[f282,f543,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480]) ).

fof(f550,definition,
    ( spl15_53
  <=> e3 = op(e3,op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_53])],[avatar_definition]) ).

fof(f552,plain,
    ( e3 = op(e3,op(e3,e3))
    | ~ spl15_53 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f554,definition,
    ( spl15_54
  <=> e2 = op(e2,op(e2,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_54])],[avatar_definition]) ).

fof(f555,plain,
    ( e2 != op(e2,op(e2,e3))
    | spl15_54 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( e2 = op(e2,op(e2,e3))
    | ~ spl15_54 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f558,definition,
    ( spl15_55
  <=> e1 = op(e1,op(e1,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_55])],[avatar_definition]) ).

fof(f559,plain,
    ( e1 != op(e1,op(e1,e3))
    | spl15_55 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f560,plain,
    ( e1 = op(e1,op(e1,e3))
    | ~ spl15_55 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f562,definition,
    ( spl15_56
  <=> e0 = op(e0,op(e0,e3)) ),
    introduced(definition,[new_symbols(definition,[spl15_56])],[avatar_definition]) ).

fof(f563,plain,
    ( e0 != op(e0,op(e0,e3))
    | spl15_56 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f564,plain,
    ( e0 = op(e0,op(e0,e3))
    | ~ spl15_56 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f565,plain,
    ( spl15_53
    | spl15_54
    | spl15_55
    | spl15_56 ),
    inference(avatar_split_clause,[],[f283,f562,f558,f554,f550]) ).

fof(f567,definition,
    ( spl15_57
  <=> e3 = op(e3,op(e3,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_57])],[avatar_definition]) ).

fof(f568,plain,
    ( e3 != op(e3,op(e3,e2))
    | spl15_57 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( e3 = op(e3,op(e3,e2))
    | ~ spl15_57 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f571,definition,
    ( spl15_58
  <=> e2 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_58])],[avatar_definition]) ).

fof(f572,plain,
    ( e2 != op(e2,op(e2,e2))
    | spl15_58 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f573,plain,
    ( e2 = op(e2,op(e2,e2))
    | ~ spl15_58 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f575,definition,
    ( spl15_59
  <=> e1 = op(e1,op(e1,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_59])],[avatar_definition]) ).

fof(f577,plain,
    ( e1 = op(e1,op(e1,e2))
    | ~ spl15_59 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f579,definition,
    ( spl15_60
  <=> e0 = op(e0,op(e0,e2)) ),
    introduced(definition,[new_symbols(definition,[spl15_60])],[avatar_definition]) ).

fof(f581,plain,
    ( e0 = op(e0,op(e0,e2))
    | ~ spl15_60 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f582,plain,
    ( spl15_57
    | spl15_58
    | spl15_59
    | spl15_60 ),
    inference(avatar_split_clause,[],[f284,f579,f575,f571,f567]) ).

fof(f584,definition,
    ( spl15_61
  <=> e3 = op(e3,op(e3,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_61])],[avatar_definition]) ).

fof(f585,plain,
    ( e3 != op(e3,op(e3,e1))
    | spl15_61 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f586,plain,
    ( e3 = op(e3,op(e3,e1))
    | ~ spl15_61 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f588,definition,
    ( spl15_62
  <=> e2 = op(e2,op(e2,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_62])],[avatar_definition]) ).

fof(f590,plain,
    ( e2 = op(e2,op(e2,e1))
    | ~ spl15_62 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f592,definition,
    ( spl15_63
  <=> e1 = op(e1,op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_63])],[avatar_definition]) ).

fof(f593,plain,
    ( e1 != op(e1,op(e1,e1))
    | spl15_63 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f594,plain,
    ( e1 = op(e1,op(e1,e1))
    | ~ spl15_63 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f596,definition,
    ( spl15_64
  <=> e0 = op(e0,op(e0,e1)) ),
    introduced(definition,[new_symbols(definition,[spl15_64])],[avatar_definition]) ).

fof(f597,plain,
    ( e0 != op(e0,op(e0,e1))
    | spl15_64 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f598,plain,
    ( e0 = op(e0,op(e0,e1))
    | ~ spl15_64 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f599,plain,
    ( spl15_61
    | spl15_62
    | spl15_63
    | spl15_64 ),
    inference(avatar_split_clause,[],[f285,f596,f592,f588,f584]) ).

fof(f601,definition,
    ( spl15_65
  <=> e3 = op(e3,op(e3,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_65])],[avatar_definition]) ).

fof(f602,plain,
    ( e3 != op(e3,op(e3,e0))
    | spl15_65 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f603,plain,
    ( e3 = op(e3,op(e3,e0))
    | ~ spl15_65 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f605,definition,
    ( spl15_66
  <=> e2 = op(e2,op(e2,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_66])],[avatar_definition]) ).

fof(f607,plain,
    ( e2 = op(e2,op(e2,e0))
    | ~ spl15_66 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f609,definition,
    ( spl15_67
  <=> e1 = op(e1,op(e1,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_67])],[avatar_definition]) ).

fof(f611,plain,
    ( e1 = op(e1,op(e1,e0))
    | ~ spl15_67 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f613,definition,
    ( spl15_68
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl15_68])],[avatar_definition]) ).

fof(f614,plain,
    ( e0 != op(e0,op(e0,e0))
    | spl15_68 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f615,plain,
    ( e0 = op(e0,op(e0,e0))
    | ~ spl15_68 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f616,plain,
    ( spl15_65
    | spl15_66
    | spl15_67
    | spl15_68 ),
    inference(avatar_split_clause,[],[f286,f613,f609,f605,f601]) ).

fof(f618,definition,
    ( spl15_69
  <=> e3 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_69])],[avatar_definition]) ).

fof(f619,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( e3 != op(e3,e3)
    | spl15_69 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,plain,
    ( ~ spl15_37
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f271,f618,f480]) ).

fof(f626,plain,
    ( ~ spl15_37
    | spl15_69 ),
    inference(avatar_split_clause,[],[f276,f618,f480]) ).

fof(f627,plain,
    ( ~ spl15_38
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f265,f443,f484]) ).

fof(f629,definition,
    ( spl15_70
  <=> e2 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_70])],[avatar_definition]) ).

fof(f630,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_70 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( e2 != op(e2,e2)
    | spl15_70 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f632,plain,
    ( ~ spl15_38
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f266,f629,f484]) ).

fof(f633,plain,
    ( ~ spl15_38
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f267,f329,f484]) ).

fof(f634,plain,
    ( ~ spl15_38
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f268,f316,f484]) ).

fof(f636,definition,
    ( spl15_71
  <=> e3 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_71])],[avatar_definition]) ).

fof(f638,plain,
    ( e3 = op(e2,e3)
    | ~ spl15_71 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f639,plain,
    ( ~ spl15_38
    | spl15_71 ),
    inference(avatar_split_clause,[],[f269,f636,f484]) ).

fof(f641,definition,
    ( spl15_72
  <=> e3 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_72])],[avatar_definition]) ).

fof(f642,plain,
    ( e3 != op(e3,e2)
    | spl15_72 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_72 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f644,plain,
    ( ~ spl15_38
    | spl15_72 ),
    inference(avatar_split_clause,[],[f270,f641,f484]) ).

fof(f645,plain,
    ( ~ spl15_39
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f259,f405,f488]) ).

fof(f646,plain,
    ( ~ spl15_39
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f260,f351,f488]) ).

fof(f648,definition,
    ( spl15_73
  <=> e1 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_73])],[avatar_definition]) ).

fof(f649,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_73 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f650,plain,
    ( e1 != op(e1,e1)
    | spl15_73 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f651,plain,
    ( ~ spl15_39
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f261,f648,f488]) ).

fof(f652,plain,
    ( ~ spl15_39
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f262,f342,f488]) ).

fof(f654,definition,
    ( spl15_74
  <=> e3 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_74])],[avatar_definition]) ).

fof(f656,plain,
    ( e3 = op(e1,e3)
    | ~ spl15_74 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f657,plain,
    ( ~ spl15_39
    | spl15_74 ),
    inference(avatar_split_clause,[],[f263,f654,f488]) ).

fof(f659,definition,
    ( spl15_75
  <=> e3 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_75])],[avatar_definition]) ).

fof(f660,plain,
    ( e3 != op(e3,e1)
    | spl15_75 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f661,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_75 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f662,plain,
    ( ~ spl15_39
    | spl15_75 ),
    inference(avatar_split_clause,[],[f264,f659,f488]) ).

fof(f663,plain,
    ( ~ spl15_40
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f253,f423,f492]) ).

fof(f664,plain,
    ( ~ spl15_40
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f254,f373,f492]) ).

fof(f665,plain,
    ( ~ spl15_40
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f255,f364,f492]) ).

fof(f666,plain,
    ( ~ spl15_40
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f256,f543,f492]) ).

fof(f668,definition,
    ( spl15_76
  <=> e3 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_76])],[avatar_definition]) ).

fof(f670,plain,
    ( e3 = op(e0,e3)
    | ~ spl15_76 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( ~ spl15_40
    | spl15_76 ),
    inference(avatar_split_clause,[],[f257,f668,f492]) ).

fof(f673,definition,
    ( spl15_77
  <=> e3 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_77])],[avatar_definition]) ).

fof(f674,plain,
    ( e3 != op(e3,e0)
    | spl15_77 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f675,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_77 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( ~ spl15_40
    | spl15_77 ),
    inference(avatar_split_clause,[],[f258,f673,f492]) ).

fof(f677,plain,
    ( ~ spl15_41
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f247,f618,f496]) ).

fof(f678,plain,
    ( ~ spl15_41
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f248,f433,f496]) ).

fof(f679,plain,
    ( ~ spl15_41
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f249,f387,f496]) ).

fof(f680,plain,
    ( ~ spl15_41
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f250,f378,f496]) ).

fof(f682,definition,
    ( spl15_78
  <=> e2 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_78])],[avatar_definition]) ).

fof(f684,plain,
    ( e2 = op(e3,e2)
    | ~ spl15_78 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( ~ spl15_41
    | spl15_78 ),
    inference(avatar_split_clause,[],[f251,f682,f496]) ).

fof(f687,definition,
    ( spl15_79
  <=> e2 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_79])],[avatar_definition]) ).

fof(f688,plain,
    ( e2 != op(e2,e3)
    | spl15_79 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_79 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f690,plain,
    ( ~ spl15_41
    | spl15_79 ),
    inference(avatar_split_clause,[],[f252,f687,f496]) ).

fof(f692,plain,
    ( ~ spl15_42
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f242,f629,f500]) ).

fof(f696,plain,
    ( ~ spl15_42
    | spl15_70 ),
    inference(avatar_split_clause,[],[f246,f629,f500]) ).

fof(f697,plain,
    ( ~ spl15_43
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f235,f405,f504]) ).

fof(f698,plain,
    ( ~ spl15_43
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f236,f351,f504]) ).

fof(f699,plain,
    ( ~ spl15_43
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f237,f648,f504]) ).

fof(f700,plain,
    ( ~ spl15_43
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f238,f342,f504]) ).

fof(f702,definition,
    ( spl15_80
  <=> e2 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_80])],[avatar_definition]) ).

fof(f704,plain,
    ( e2 = op(e1,e2)
    | ~ spl15_80 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( ~ spl15_43
    | spl15_80 ),
    inference(avatar_split_clause,[],[f239,f702,f504]) ).

fof(f707,definition,
    ( spl15_81
  <=> e2 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_81])],[avatar_definition]) ).

fof(f708,plain,
    ( e2 != op(e2,e1)
    | spl15_81 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_81 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( ~ spl15_43
    | spl15_81 ),
    inference(avatar_split_clause,[],[f240,f707,f504]) ).

fof(f711,plain,
    ( ~ spl15_44
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f229,f423,f508]) ).

fof(f712,plain,
    ( ~ spl15_44
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f230,f373,f508]) ).

fof(f713,plain,
    ( ~ spl15_44
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f231,f364,f508]) ).

fof(f714,plain,
    ( ~ spl15_44
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f232,f543,f508]) ).

fof(f716,definition,
    ( spl15_82
  <=> e2 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_82])],[avatar_definition]) ).

fof(f718,plain,
    ( e2 = op(e0,e2)
    | ~ spl15_82 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( ~ spl15_44
    | spl15_82 ),
    inference(avatar_split_clause,[],[f233,f716,f508]) ).

fof(f721,definition,
    ( spl15_83
  <=> e2 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_83])],[avatar_definition]) ).

fof(f722,plain,
    ( e2 != op(e2,e0)
    | spl15_83 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f723,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_83 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f724,plain,
    ( ~ spl15_44
    | spl15_83 ),
    inference(avatar_split_clause,[],[f234,f721,f508]) ).

fof(f725,plain,
    ( ~ spl15_45
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f223,f618,f512]) ).

fof(f726,plain,
    ( ~ spl15_45
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f224,f433,f512]) ).

fof(f727,plain,
    ( ~ spl15_45
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f225,f387,f512]) ).

fof(f728,plain,
    ( ~ spl15_45
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f226,f378,f512]) ).

fof(f730,definition,
    ( spl15_84
  <=> e1 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_84])],[avatar_definition]) ).

fof(f732,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_84 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f733,plain,
    ( ~ spl15_45
    | spl15_84 ),
    inference(avatar_split_clause,[],[f227,f730,f512]) ).

fof(f735,definition,
    ( spl15_85
  <=> e1 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_85])],[avatar_definition]) ).

fof(f736,plain,
    ( e1 != op(e1,e3)
    | spl15_85 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_85 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( ~ spl15_45
    | spl15_85 ),
    inference(avatar_split_clause,[],[f228,f735,f512]) ).

fof(f739,plain,
    ( ~ spl15_46
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f217,f443,f516]) ).

fof(f740,plain,
    ( ~ spl15_46
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f218,f629,f516]) ).

fof(f741,plain,
    ( ~ spl15_46
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f219,f329,f516]) ).

fof(f742,plain,
    ( ~ spl15_46
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f220,f316,f516]) ).

fof(f744,definition,
    ( spl15_86
  <=> e1 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_86])],[avatar_definition]) ).

fof(f746,plain,
    ( e1 = op(e2,e1)
    | ~ spl15_86 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f747,plain,
    ( ~ spl15_46
    | spl15_86 ),
    inference(avatar_split_clause,[],[f221,f744,f516]) ).

fof(f749,definition,
    ( spl15_87
  <=> e1 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_87])],[avatar_definition]) ).

fof(f750,plain,
    ( e1 != op(e1,e2)
    | spl15_87 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f751,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_87 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f752,plain,
    ( ~ spl15_46
    | spl15_87 ),
    inference(avatar_split_clause,[],[f222,f749,f516]) ).

fof(f754,plain,
    ( ~ spl15_47
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f212,f351,f520]) ).

fof(f755,plain,
    ( ~ spl15_47
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f213,f648,f520]) ).

fof(f756,plain,
    ( ~ spl15_47
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f214,f342,f520]) ).

fof(f758,plain,
    ( ~ spl15_47
    | spl15_73 ),
    inference(avatar_split_clause,[],[f216,f648,f520]) ).

fof(f761,plain,
    ( ~ spl15_48
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f207,f364,f524]) ).

fof(f762,plain,
    ( ~ spl15_48
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f208,f543,f524]) ).

fof(f764,definition,
    ( spl15_88
  <=> e1 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_88])],[avatar_definition]) ).

fof(f765,plain,
    ( e1 != op(e0,e1)
    | spl15_88 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f766,plain,
    ( e1 = op(e0,e1)
    | ~ spl15_88 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl15_48
    | spl15_88 ),
    inference(avatar_split_clause,[],[f209,f764,f524]) ).

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

fof(f770,plain,
    ( e1 != op(e1,e0)
    | spl15_89 ),
    inference(avatar_component_clause,[],[f769]) ).

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

fof(f772,plain,
    ( ~ spl15_48
    | spl15_89 ),
    inference(avatar_split_clause,[],[f210,f769,f524]) ).

fof(f773,plain,
    ( ~ spl15_49
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f199,f618,f528]) ).

fof(f774,plain,
    ( ~ spl15_49
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f200,f433,f528]) ).

fof(f775,plain,
    ( ~ spl15_49
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f201,f387,f528]) ).

fof(f776,plain,
    ( ~ spl15_49
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f202,f378,f528]) ).

fof(f778,definition,
    ( spl15_90
  <=> e0 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_90])],[avatar_definition]) ).

fof(f780,plain,
    ( e0 = op(e3,e0)
    | ~ spl15_90 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl15_49
    | spl15_90 ),
    inference(avatar_split_clause,[],[f203,f778,f528]) ).

fof(f783,definition,
    ( spl15_91
  <=> e0 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_91])],[avatar_definition]) ).

fof(f784,plain,
    ( e0 != op(e0,e3)
    | spl15_91 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f785,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_91 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f786,plain,
    ( ~ spl15_49
    | spl15_91 ),
    inference(avatar_split_clause,[],[f204,f783,f528]) ).

fof(f787,plain,
    ( ~ spl15_50
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f193,f443,f532]) ).

fof(f788,plain,
    ( ~ spl15_50
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f194,f629,f532]) ).

fof(f789,plain,
    ( ~ spl15_50
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f195,f329,f532]) ).

fof(f790,plain,
    ( ~ spl15_50
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f196,f316,f532]) ).

fof(f792,definition,
    ( spl15_92
  <=> e0 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_92])],[avatar_definition]) ).

fof(f794,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_92 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f795,plain,
    ( ~ spl15_50
    | spl15_92 ),
    inference(avatar_split_clause,[],[f197,f792,f532]) ).

fof(f797,definition,
    ( spl15_93
  <=> e0 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_93])],[avatar_definition]) ).

fof(f798,plain,
    ( e0 != op(e0,e2)
    | spl15_93 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f799,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_93 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( ~ spl15_50
    | spl15_93 ),
    inference(avatar_split_clause,[],[f198,f797,f532]) ).

fof(f801,plain,
    ( ~ spl15_51
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f187,f405,f536]) ).

fof(f802,plain,
    ( ~ spl15_51
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f188,f351,f536]) ).

fof(f803,plain,
    ( ~ spl15_51
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f189,f648,f536]) ).

fof(f804,plain,
    ( ~ spl15_51
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f190,f342,f536]) ).

fof(f806,definition,
    ( spl15_94
  <=> e0 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_94])],[avatar_definition]) ).

fof(f808,plain,
    ( e0 = op(e1,e0)
    | ~ spl15_94 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( ~ spl15_51
    | spl15_94 ),
    inference(avatar_split_clause,[],[f191,f806,f536]) ).

fof(f811,definition,
    ( spl15_95
  <=> e0 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_95])],[avatar_definition]) ).

fof(f812,plain,
    ( e0 != op(e0,e1)
    | spl15_95 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f813,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_95 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( ~ spl15_51
    | spl15_95 ),
    inference(avatar_split_clause,[],[f192,f811,f536]) ).

fof(f815,plain,
    ( spl15_69
    | spl15_71
    | spl15_74
    | spl15_76 ),
    inference(avatar_split_clause,[],[f101,f668,f654,f636,f618]) ).

fof(f816,plain,
    ( spl15_69
    | spl15_72
    | spl15_75
    | spl15_77 ),
    inference(avatar_split_clause,[],[f102,f673,f659,f641,f618]) ).

fof(f818,definition,
    ( spl15_96
  <=> e2 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_96])],[avatar_definition]) ).

fof(f820,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_96 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f822,definition,
    ( spl15_97
  <=> e2 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_97])],[avatar_definition]) ).

fof(f824,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_97 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( spl15_30
    | spl15_79
    | spl15_96
    | spl15_97 ),
    inference(avatar_split_clause,[],[f103,f822,f818,f687,f443]) ).

fof(f827,definition,
    ( spl15_98
  <=> e2 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_98])],[avatar_definition]) ).

fof(f829,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_98 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f831,definition,
    ( spl15_99
  <=> e2 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_99])],[avatar_definition]) ).

fof(f833,plain,
    ( e2 = op(e3,e0)
    | ~ spl15_99 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl15_30
    | spl15_78
    | spl15_98
    | spl15_99 ),
    inference(avatar_split_clause,[],[f104,f831,f827,f682,f443]) ).

fof(f836,definition,
    ( spl15_100
  <=> e1 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_100])],[avatar_definition]) ).

fof(f838,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f840,definition,
    ( spl15_101
  <=> e1 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_101])],[avatar_definition]) ).

fof(f842,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_101 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( spl15_22
    | spl15_100
    | spl15_85
    | spl15_101 ),
    inference(avatar_split_clause,[],[f105,f840,f735,f836,f405]) ).

fof(f845,definition,
    ( spl15_102
  <=> e1 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_102])],[avatar_definition]) ).

fof(f847,plain,
    ( e1 = op(e3,e2)
    | ~ spl15_102 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f849,definition,
    ( spl15_103
  <=> e1 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_103])],[avatar_definition]) ).

fof(f851,plain,
    ( e1 = op(e3,e0)
    | ~ spl15_103 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,plain,
    ( spl15_22
    | spl15_102
    | spl15_84
    | spl15_103 ),
    inference(avatar_split_clause,[],[f106,f849,f730,f845,f405]) ).

fof(f854,definition,
    ( spl15_104
  <=> e0 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_104])],[avatar_definition]) ).

fof(f856,plain,
    ( e0 = op(e2,e3)
    | ~ spl15_104 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f858,definition,
    ( spl15_105
  <=> e0 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl15_105])],[avatar_definition]) ).

fof(f860,plain,
    ( e0 = op(e1,e3)
    | ~ spl15_105 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f861,plain,
    ( spl15_26
    | spl15_104
    | spl15_105
    | spl15_91 ),
    inference(avatar_split_clause,[],[f107,f783,f858,f854,f423]) ).

fof(f863,definition,
    ( spl15_106
  <=> e0 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_106])],[avatar_definition]) ).

fof(f865,plain,
    ( e0 = op(e3,e2)
    | ~ spl15_106 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f867,definition,
    ( spl15_107
  <=> e0 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_107])],[avatar_definition]) ).

fof(f869,plain,
    ( e0 = op(e3,e1)
    | ~ spl15_107 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f870,plain,
    ( spl15_26
    | spl15_106
    | spl15_107
    | spl15_90 ),
    inference(avatar_split_clause,[],[f108,f778,f867,f863,f423]) ).

fof(f872,definition,
    ( spl15_108
  <=> e3 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_108])],[avatar_definition]) ).

fof(f874,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_108 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f876,definition,
    ( spl15_109
  <=> e3 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_109])],[avatar_definition]) ).

fof(f878,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_109 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( spl15_72
    | spl15_28
    | spl15_108
    | spl15_109 ),
    inference(avatar_split_clause,[],[f109,f876,f872,f433,f641]) ).

fof(f881,definition,
    ( spl15_110
  <=> e3 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_110])],[avatar_definition]) ).

fof(f882,plain,
    ( e3 != op(e2,e1)
    | spl15_110 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f883,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_110 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f885,definition,
    ( spl15_111
  <=> e3 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_111])],[avatar_definition]) ).

fof(f887,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_111 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f888,plain,
    ( spl15_71
    | spl15_28
    | spl15_110
    | spl15_111 ),
    inference(avatar_split_clause,[],[f110,f885,f881,f433,f636]) ).

fof(f889,plain,
    ( spl15_78
    | spl15_70
    | spl15_80
    | spl15_82 ),
    inference(avatar_split_clause,[],[f111,f716,f702,f629,f682]) ).

fof(f890,plain,
    ( spl15_79
    | spl15_70
    | spl15_81
    | spl15_83 ),
    inference(avatar_split_clause,[],[f112,f721,f707,f629,f687]) ).

fof(f892,definition,
    ( spl15_112
  <=> e1 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_112])],[avatar_definition]) ).

fof(f894,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_112 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( spl15_102
    | spl15_10
    | spl15_87
    | spl15_112 ),
    inference(avatar_split_clause,[],[f113,f892,f749,f351,f845]) ).

fof(f897,definition,
    ( spl15_113
  <=> e1 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_113])],[avatar_definition]) ).

fof(f899,plain,
    ( e1 = op(e2,e0)
    | ~ spl15_113 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( spl15_100
    | spl15_10
    | spl15_86
    | spl15_113 ),
    inference(avatar_split_clause,[],[f114,f897,f744,f351,f836]) ).

fof(f902,definition,
    ( spl15_114
  <=> e0 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl15_114])],[avatar_definition]) ).

fof(f904,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_114 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( spl15_106
    | spl15_15
    | spl15_114
    | spl15_93 ),
    inference(avatar_split_clause,[],[f115,f797,f902,f373,f863]) ).

fof(f907,definition,
    ( spl15_115
  <=> e0 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_115])],[avatar_definition]) ).

fof(f909,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_115 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( spl15_104
    | spl15_15
    | spl15_115
    | spl15_92 ),
    inference(avatar_split_clause,[],[f116,f792,f907,f373,f854]) ).

fof(f912,definition,
    ( spl15_116
  <=> e3 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_116])],[avatar_definition]) ).

fof(f914,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_116 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl15_75
    | spl15_110
    | spl15_18
    | spl15_116 ),
    inference(avatar_split_clause,[],[f117,f912,f387,f881,f659]) ).

fof(f917,definition,
    ( spl15_117
  <=> e3 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_117])],[avatar_definition]) ).

fof(f919,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_117 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f920,plain,
    ( spl15_74
    | spl15_108
    | spl15_18
    | spl15_117 ),
    inference(avatar_split_clause,[],[f118,f917,f387,f872,f654]) ).

fof(f922,definition,
    ( spl15_118
  <=> e2 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl15_118])],[avatar_definition]) ).

fof(f924,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_118 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( spl15_98
    | spl15_81
    | spl15_5
    | spl15_118 ),
    inference(avatar_split_clause,[],[f119,f922,f329,f707,f827]) ).

fof(f927,definition,
    ( spl15_119
  <=> e2 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl15_119])],[avatar_definition]) ).

fof(f929,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_119 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( spl15_96
    | spl15_80
    | spl15_5
    | spl15_119 ),
    inference(avatar_split_clause,[],[f120,f927,f329,f702,f818]) ).

fof(f931,plain,
    ( spl15_84
    | spl15_86
    | spl15_73
    | spl15_88 ),
    inference(avatar_split_clause,[],[f121,f764,f648,f744,f730]) ).

fof(f932,plain,
    ( spl15_85
    | spl15_87
    | spl15_73
    | spl15_89 ),
    inference(avatar_split_clause,[],[f122,f769,f648,f749,f735]) ).

fof(f933,plain,
    ( spl15_107
    | spl15_115
    | spl15_13
    | spl15_95 ),
    inference(avatar_split_clause,[],[f123,f811,f364,f907,f867]) ).

fof(f934,plain,
    ( spl15_105
    | spl15_114
    | spl15_13
    | spl15_94 ),
    inference(avatar_split_clause,[],[f124,f806,f364,f902,f858]) ).

fof(f935,plain,
    ( spl15_77
    | spl15_111
    | spl15_117
    | spl15_16 ),
    inference(avatar_split_clause,[],[f125,f378,f917,f885,f673]) ).

fof(f936,plain,
    ( spl15_76
    | spl15_109
    | spl15_116
    | spl15_16 ),
    inference(avatar_split_clause,[],[f126,f378,f912,f876,f668]) ).

fof(f937,plain,
    ( spl15_99
    | spl15_83
    | spl15_119
    | spl15_2 ),
    inference(avatar_split_clause,[],[f127,f316,f927,f721,f831]) ).

fof(f938,plain,
    ( spl15_97
    | spl15_82
    | spl15_118
    | spl15_2 ),
    inference(avatar_split_clause,[],[f128,f316,f922,f716,f822]) ).

fof(f939,plain,
    ( spl15_103
    | spl15_113
    | spl15_89
    | spl15_8 ),
    inference(avatar_split_clause,[],[f129,f342,f769,f897,f849]) ).

fof(f940,plain,
    ( spl15_101
    | spl15_112
    | spl15_88
    | spl15_8 ),
    inference(avatar_split_clause,[],[f130,f342,f764,f892,f840]) ).

fof(f941,plain,
    ( spl15_90
    | spl15_92
    | spl15_94
    | spl15_52 ),
    inference(avatar_split_clause,[],[f131,f543,f806,f792,f778]) ).

fof(f942,plain,
    ( spl15_91
    | spl15_93
    | spl15_95
    | spl15_52 ),
    inference(avatar_split_clause,[],[f132,f543,f811,f797,f783]) ).

fof(f943,plain,
    ( spl15_69
    | spl15_30
    | spl15_22
    | spl15_26 ),
    inference(avatar_split_clause,[],[f85,f423,f405,f443,f618]) ).

fof(f944,plain,
    ( spl15_72
    | spl15_78
    | spl15_102
    | spl15_106 ),
    inference(avatar_split_clause,[],[f86,f863,f845,f682,f641]) ).

fof(f945,plain,
    ( spl15_75
    | spl15_98
    | spl15_84
    | spl15_107 ),
    inference(avatar_split_clause,[],[f87,f867,f730,f827,f659]) ).

fof(f946,plain,
    ( spl15_77
    | spl15_99
    | spl15_103
    | spl15_90 ),
    inference(avatar_split_clause,[],[f88,f778,f849,f831,f673]) ).

fof(f947,plain,
    ( spl15_71
    | spl15_79
    | spl15_100
    | spl15_104 ),
    inference(avatar_split_clause,[],[f89,f854,f836,f687,f636]) ).

fof(f948,plain,
    ( spl15_28
    | spl15_70
    | spl15_10
    | spl15_15 ),
    inference(avatar_split_clause,[],[f90,f373,f351,f629,f433]) ).

fof(f949,plain,
    ( spl15_110
    | spl15_81
    | spl15_86
    | spl15_115 ),
    inference(avatar_split_clause,[],[f91,f907,f744,f707,f881]) ).

fof(f950,plain,
    ( spl15_111
    | spl15_83
    | spl15_113
    | spl15_92 ),
    inference(avatar_split_clause,[],[f92,f792,f897,f721,f885]) ).

fof(f951,plain,
    ( spl15_74
    | spl15_96
    | spl15_85
    | spl15_105 ),
    inference(avatar_split_clause,[],[f93,f858,f735,f818,f654]) ).

fof(f952,plain,
    ( spl15_108
    | spl15_80
    | spl15_87
    | spl15_114 ),
    inference(avatar_split_clause,[],[f94,f902,f749,f702,f872]) ).

fof(f953,plain,
    ( spl15_18
    | spl15_5
    | spl15_73
    | spl15_13 ),
    inference(avatar_split_clause,[],[f95,f364,f648,f329,f387]) ).

fof(f954,plain,
    ( spl15_117
    | spl15_119
    | spl15_89
    | spl15_94 ),
    inference(avatar_split_clause,[],[f96,f806,f769,f927,f917]) ).

fof(f955,plain,
    ( spl15_76
    | spl15_97
    | spl15_101
    | spl15_91 ),
    inference(avatar_split_clause,[],[f97,f783,f840,f822,f668]) ).

fof(f956,plain,
    ( spl15_109
    | spl15_82
    | spl15_112
    | spl15_93 ),
    inference(avatar_split_clause,[],[f98,f797,f892,f716,f876]) ).

fof(f957,plain,
    ( spl15_116
    | spl15_118
    | spl15_88
    | spl15_95 ),
    inference(avatar_split_clause,[],[f99,f811,f764,f922,f912]) ).

fof(f958,plain,
    ( spl15_16
    | spl15_2
    | spl15_8
    | spl15_52 ),
    inference(avatar_split_clause,[],[f100,f543,f342,f316,f378]) ).

fof(f960,plain,
    ( e0 = e1
    | ~ spl15_10
    | ~ spl15_15 ),
    inference(superposition,[],[f374,f352]) ).

fof(f964,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_15 ),
    inference(forward_subsumption_resolution,[],[f960,f186]) ).

fof(f965,plain,
    ( ~ spl15_10
    | ~ spl15_15 ),
    inference(avatar_contradiction_clause,[],[f964]) ).

fof(f968,plain,
    ( e0 = e1
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(superposition,[],[f424,f406]) ).

fof(f972,plain,
    ( $false
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(forward_subsumption_resolution,[],[f968,f186]) ).

fof(f973,plain,
    ( ~ spl15_22
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f972]) ).

fof(f980,plain,
    ( e2 = e3
    | ~ spl15_72
    | ~ spl15_78 ),
    inference(superposition,[],[f684,f643]) ).

fof(f984,plain,
    ( $false
    | ~ spl15_72
    | ~ spl15_78 ),
    inference(forward_subsumption_resolution,[],[f980,f181]) ).

fof(f985,plain,
    ( ~ spl15_72
    | ~ spl15_78 ),
    inference(avatar_contradiction_clause,[],[f984]) ).

fof(f987,plain,
    ( e2 = e3
    | ~ spl15_71
    | ~ spl15_79 ),
    inference(superposition,[],[f689,f638]) ).

fof(f988,plain,
    ( e2 = e3
    | ~ spl15_71
    | ~ spl15_79 ),
    inference(superposition,[],[f638,f689]) ).

fof(f989,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_79 ),
    inference(forward_subsumption_resolution,[],[f988,f181]) ).

fof(f990,plain,
    ( ~ spl15_71
    | ~ spl15_79 ),
    inference(avatar_contradiction_clause,[],[f989]) ).

fof(f991,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_79 ),
    inference(forward_subsumption_resolution,[],[f987,f181]) ).

fof(f992,plain,
    ( ~ spl15_71
    | ~ spl15_79 ),
    inference(avatar_contradiction_clause,[],[f991]) ).

fof(f994,plain,
    ( e1 = e3
    | ~ spl15_74
    | ~ spl15_85 ),
    inference(superposition,[],[f737,f656]) ).

fof(f998,plain,
    ( $false
    | ~ spl15_74
    | ~ spl15_85 ),
    inference(forward_subsumption_resolution,[],[f994,f182]) ).

fof(f999,plain,
    ( ~ spl15_74
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f1001,plain,
    ( e1 = e2
    | ~ spl15_81
    | ~ spl15_86 ),
    inference(superposition,[],[f746,f709]) ).

fof(f1002,plain,
    ( e1 = e2
    | ~ spl15_81
    | ~ spl15_86 ),
    inference(superposition,[],[f709,f746]) ).

fof(f1003,plain,
    ( $false
    | ~ spl15_81
    | ~ spl15_86 ),
    inference(forward_subsumption_resolution,[],[f1002,f183]) ).

fof(f1004,plain,
    ( ~ spl15_81
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f1003]) ).

fof(f1005,plain,
    ( $false
    | ~ spl15_81
    | ~ spl15_86 ),
    inference(forward_subsumption_resolution,[],[f1001,f183]) ).

fof(f1006,plain,
    ( ~ spl15_81
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f1005]) ).

fof(f1007,plain,
    ( e0 = e2
    | ~ spl15_5
    | ~ spl15_13 ),
    inference(superposition,[],[f330,f365]) ).

fof(f1012,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_13 ),
    inference(forward_subsumption_resolution,[],[f1007,f185]) ).

fof(f1013,plain,
    ( ~ spl15_5
    | ~ spl15_13 ),
    inference(avatar_contradiction_clause,[],[f1012]) ).

fof(f1016,plain,
    ( e1 = e2
    | ~ spl15_78
    | ~ spl15_102 ),
    inference(superposition,[],[f847,f684]) ).

fof(f1021,plain,
    ( $false
    | ~ spl15_78
    | ~ spl15_102 ),
    inference(forward_subsumption_resolution,[],[f1016,f183]) ).

fof(f1022,plain,
    ( ~ spl15_78
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1026,plain,
    ( e0 = e2
    | ~ spl15_79
    | ~ spl15_104 ),
    inference(superposition,[],[f856,f689]) ).

fof(f1031,plain,
    ( $false
    | ~ spl15_79
    | ~ spl15_104 ),
    inference(forward_subsumption_resolution,[],[f1026,f185]) ).

fof(f1032,plain,
    ( ~ spl15_79
    | ~ spl15_104 ),
    inference(avatar_contradiction_clause,[],[f1031]) ).

fof(f1035,plain,
    ( e1 = e3
    | ~ spl15_75
    | ~ spl15_84 ),
    inference(superposition,[],[f732,f661]) ).

fof(f1039,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_84 ),
    inference(forward_subsumption_resolution,[],[f1035,f182]) ).

fof(f1040,plain,
    ( ~ spl15_75
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1039]) ).

fof(f1043,plain,
    ( e0 = e2
    | ~ spl15_78
    | ~ spl15_106 ),
    inference(superposition,[],[f865,f684]) ).

fof(f1049,plain,
    ( $false
    | ~ spl15_78
    | ~ spl15_106 ),
    inference(forward_subsumption_resolution,[],[f1043,f185]) ).

fof(f1050,plain,
    ( ~ spl15_78
    | ~ spl15_106 ),
    inference(avatar_contradiction_clause,[],[f1049]) ).

fof(f1052,plain,
    ( e2 = e3
    | ~ spl15_80
    | ~ spl15_108 ),
    inference(superposition,[],[f874,f704]) ).

fof(f1056,plain,
    ( $false
    | ~ spl15_80
    | ~ spl15_108 ),
    inference(forward_subsumption_resolution,[],[f1052,f181]) ).

fof(f1057,plain,
    ( ~ spl15_80
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1059,plain,
    ( e2 = e3
    | ~ spl15_82
    | ~ spl15_109 ),
    inference(superposition,[],[f878,f718]) ).

fof(f1063,plain,
    ( $false
    | ~ spl15_82
    | ~ spl15_109 ),
    inference(forward_subsumption_resolution,[],[f1059,f181]) ).

fof(f1064,plain,
    ( ~ spl15_82
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f1063]) ).

fof(f1067,plain,
    ( e1 = e3
    | ~ spl15_86
    | ~ spl15_110 ),
    inference(superposition,[],[f883,f746]) ).

fof(f1072,plain,
    ( $false
    | ~ spl15_86
    | ~ spl15_110 ),
    inference(forward_subsumption_resolution,[],[f1067,f182]) ).

fof(f1073,plain,
    ( ~ spl15_86
    | ~ spl15_110 ),
    inference(avatar_contradiction_clause,[],[f1072]) ).

fof(f1077,plain,
    ( e0 = e2
    | ~ spl15_83
    | ~ spl15_92 ),
    inference(superposition,[],[f794,f723]) ).

fof(f1081,plain,
    ( $false
    | ~ spl15_83
    | ~ spl15_92 ),
    inference(forward_subsumption_resolution,[],[f1077,f185]) ).

fof(f1082,plain,
    ( ~ spl15_83
    | ~ spl15_92 ),
    inference(avatar_contradiction_clause,[],[f1081]) ).

fof(f1086,plain,
    ( e2 = e3
    | ~ spl15_83
    | ~ spl15_111 ),
    inference(superposition,[],[f887,f723]) ).

fof(f1091,plain,
    ( $false
    | ~ spl15_83
    | ~ spl15_111 ),
    inference(forward_subsumption_resolution,[],[f1086,f181]) ).

fof(f1092,plain,
    ( ~ spl15_83
    | ~ spl15_111 ),
    inference(avatar_contradiction_clause,[],[f1091]) ).

fof(f1094,plain,
    ( e1 = e2
    | ~ spl15_82
    | ~ spl15_112 ),
    inference(superposition,[],[f894,f718]) ).

fof(f1099,plain,
    ( $false
    | ~ spl15_82
    | ~ spl15_112 ),
    inference(forward_subsumption_resolution,[],[f1094,f183]) ).

fof(f1100,plain,
    ( ~ spl15_82
    | ~ spl15_112 ),
    inference(avatar_contradiction_clause,[],[f1099]) ).

fof(f1104,plain,
    ( e1 = e2
    | ~ spl15_83
    | ~ spl15_113 ),
    inference(superposition,[],[f899,f723]) ).

fof(f1107,plain,
    ( e1 = e2
    | ~ spl15_83
    | ~ spl15_113 ),
    inference(superposition,[],[f723,f899]) ).

fof(f1108,plain,
    ( $false
    | ~ spl15_83
    | ~ spl15_113 ),
    inference(forward_subsumption_resolution,[],[f1107,f183]) ).

fof(f1109,plain,
    ( ~ spl15_83
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1108]) ).

fof(f1110,plain,
    ( $false
    | ~ spl15_83
    | ~ spl15_113 ),
    inference(forward_subsumption_resolution,[],[f1104,f183]) ).

fof(f1111,plain,
    ( ~ spl15_83
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1110]) ).

fof(f1113,plain,
    ( e0 = e3
    | ~ spl15_108
    | ~ spl15_114 ),
    inference(superposition,[],[f904,f874]) ).

fof(f1118,plain,
    ( $false
    | ~ spl15_108
    | ~ spl15_114 ),
    inference(forward_subsumption_resolution,[],[f1113,f184]) ).

fof(f1119,plain,
    ( ~ spl15_108
    | ~ spl15_114 ),
    inference(avatar_contradiction_clause,[],[f1118]) ).

fof(f1120,plain,
    ( e0 = e2
    | ~ spl15_82
    | ~ spl15_93 ),
    inference(superposition,[],[f799,f718]) ).

fof(f1126,plain,
    ( $false
    | ~ spl15_82
    | ~ spl15_93 ),
    inference(forward_subsumption_resolution,[],[f1120,f185]) ).

fof(f1127,plain,
    ( ~ spl15_82
    | ~ spl15_93 ),
    inference(avatar_contradiction_clause,[],[f1126]) ).

fof(f1140,plain,
    ( e1 = e2
    | ~ spl15_79
    | ~ spl15_100 ),
    inference(superposition,[],[f838,f689]) ).

fof(f1143,plain,
    ( e1 = e2
    | ~ spl15_79
    | ~ spl15_100 ),
    inference(superposition,[],[f689,f838]) ).

fof(f1144,plain,
    ( $false
    | ~ spl15_79
    | ~ spl15_100 ),
    inference(forward_subsumption_resolution,[],[f1143,f183]) ).

fof(f1145,plain,
    ( ~ spl15_79
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1146,plain,
    ( $false
    | ~ spl15_79
    | ~ spl15_100 ),
    inference(forward_subsumption_resolution,[],[f1140,f183]) ).

fof(f1147,plain,
    ( ~ spl15_79
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1149,plain,
    ( e0 = e1
    | ~ spl15_93
    | ~ spl15_112 ),
    inference(superposition,[],[f894,f799]) ).

fof(f1155,plain,
    ( $false
    | ~ spl15_93
    | ~ spl15_112 ),
    inference(forward_subsumption_resolution,[],[f1149,f186]) ).

fof(f1156,plain,
    ( ~ spl15_93
    | ~ spl15_112 ),
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1157,plain,
    ( e1 = e3
    | ~ spl15_87
    | ~ spl15_108 ),
    inference(superposition,[],[f751,f874]) ).

fof(f1163,plain,
    ( $false
    | ~ spl15_87
    | ~ spl15_108 ),
    inference(forward_subsumption_resolution,[],[f1157,f182]) ).

fof(f1164,plain,
    ( ~ spl15_87
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f1163]) ).

fof(f1173,plain,
    ( e1 = e3
    | ~ spl15_89
    | ~ spl15_117 ),
    inference(superposition,[],[f919,f771]) ).

fof(f1177,plain,
    ( $false
    | ~ spl15_89
    | ~ spl15_117 ),
    inference(forward_subsumption_resolution,[],[f1173,f182]) ).

fof(f1178,plain,
    ( ~ spl15_89
    | ~ spl15_117 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1180,plain,
    ( e1 = e2
    | ~ spl15_88
    | ~ spl15_118 ),
    inference(superposition,[],[f924,f766]) ).

fof(f1184,plain,
    ( $false
    | ~ spl15_88
    | ~ spl15_118 ),
    inference(forward_subsumption_resolution,[],[f1180,f183]) ).

fof(f1185,plain,
    ( ~ spl15_88
    | ~ spl15_118 ),
    inference(avatar_contradiction_clause,[],[f1184]) ).

fof(f1186,plain,
    ( e0 = e2
    | ~ spl15_2
    | ~ spl15_52 ),
    inference(superposition,[],[f317,f544]) ).

fof(f1192,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_52 ),
    inference(forward_subsumption_resolution,[],[f1186,f185]) ).

fof(f1193,plain,
    ( ~ spl15_2
    | ~ spl15_52 ),
    inference(avatar_contradiction_clause,[],[f1192]) ).

fof(f1206,plain,
    ( e1 = e3
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(superposition,[],[f842,f670]) ).

fof(f1210,plain,
    ( $false
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(forward_subsumption_resolution,[],[f1206,f182]) ).

fof(f1211,plain,
    ( ~ spl15_76
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1210]) ).

fof(f1227,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_26 ),
    inference(superposition,[],[f133,f424]) ).

fof(f1228,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_26 ),
    inference(superposition,[],[f134,f424]) ).

fof(f1229,plain,
    ( ~ spl15_107
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1228,f423,f867]) ).

fof(f1231,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_78 ),
    inference(superposition,[],[f135,f684]) ).

fof(f1232,plain,
    ( ~ spl15_98
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f1231,f682,f827]) ).

fof(f1234,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_26 ),
    inference(superposition,[],[f136,f424]) ).

fof(f1235,plain,
    ( ~ spl15_90
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1234,f423,f778]) ).

fof(f1237,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_78 ),
    inference(superposition,[],[f137,f684]) ).

fof(f1238,plain,
    ( ~ spl15_99
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f1237,f682,f831]) ).

fof(f1240,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_84 ),
    inference(superposition,[],[f138,f732]) ).

fof(f1241,plain,
    ( ~ spl15_103
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f1240,f730,f849]) ).

fof(f1243,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_79 ),
    inference(superposition,[],[f139,f689]) ).

fof(f1244,plain,
    ( ~ spl15_70
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f1243,f687,f629]) ).

fof(f1246,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_79 ),
    inference(superposition,[],[f140,f689]) ).

fof(f1247,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_15 ),
    inference(superposition,[],[f141,f374]) ).

fof(f1248,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_79 ),
    inference(superposition,[],[f142,f689]) ).

fof(f1249,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_15 ),
    inference(superposition,[],[f143,f374]) ).

fof(f1250,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_110 ),
    inference(superposition,[],[f144,f883]) ).

fof(f1251,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_74 ),
    inference(superposition,[],[f145,f656]) ).

fof(f1252,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_74 ),
    inference(superposition,[],[f146,f656]) ).

fof(f1253,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_87 ),
    inference(superposition,[],[f147,f751]) ).

fof(f1254,plain,
    ( ~ spl15_73
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f1253,f749,f648]) ).

fof(f1256,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_74 ),
    inference(superposition,[],[f148,f656]) ).

fof(f1257,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_87 ),
    inference(superposition,[],[f149,f751]) ).

fof(f1258,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_13 ),
    inference(superposition,[],[f150,f365]) ).

fof(f1259,plain,
    ( ~ spl15_94
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f1258,f364,f806]) ).

fof(f1261,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_101 ),
    inference(superposition,[],[f151,f842]) ).

fof(f1262,plain,
    ( ~ spl15_112
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f1261,f840,f892]) ).

fof(f1264,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_101 ),
    inference(superposition,[],[f152,f842]) ).

fof(f1265,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_109 ),
    inference(superposition,[],[f153,f878]) ).

fof(f1266,plain,
    ( ~ spl15_116
    | ~ spl15_109 ),
    inference(avatar_split_clause,[],[f1265,f876,f912]) ).

fof(f1268,plain,
    ( op(e0,e0) != e1
    | ~ spl15_101 ),
    inference(superposition,[],[f154,f842]) ).

fof(f1269,plain,
    ( op(e0,e0) != e3
    | ~ spl15_109 ),
    inference(superposition,[],[f155,f878]) ).

fof(f1270,plain,
    ( op(e0,e0) != e2
    | ~ spl15_118 ),
    inference(superposition,[],[f156,f924]) ).

fof(f1271,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_26 ),
    inference(superposition,[],[f157,f424]) ).

fof(f1272,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_26 ),
    inference(superposition,[],[f158,f424]) ).

fof(f1273,plain,
    ( ~ spl15_105
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1272,f423,f858]) ).

fof(f1275,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_79 ),
    inference(superposition,[],[f159,f689]) ).

fof(f1276,plain,
    ( ~ spl15_96
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f1275,f687,f818]) ).

fof(f1278,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_26 ),
    inference(superposition,[],[f160,f424]) ).

fof(f1279,plain,
    ( ~ spl15_91
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1278,f423,f783]) ).

fof(f1281,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_79 ),
    inference(superposition,[],[f161,f689]) ).

fof(f1282,plain,
    ( ~ spl15_97
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f1281,f687,f822]) ).

fof(f1284,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_74 ),
    inference(superposition,[],[f162,f656]) ).

fof(f1285,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_78 ),
    inference(superposition,[],[f163,f684]) ).

fof(f1286,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_78 ),
    inference(superposition,[],[f164,f684]) ).

fof(f1287,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_15 ),
    inference(superposition,[],[f165,f374]) ).

fof(f1288,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_78 ),
    inference(superposition,[],[f166,f684]) ).

fof(f1289,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_15 ),
    inference(superposition,[],[f167,f374]) ).

fof(f1290,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_87 ),
    inference(superposition,[],[f168,f751]) ).

fof(f1291,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_84 ),
    inference(superposition,[],[f169,f732]) ).

fof(f1292,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_84 ),
    inference(superposition,[],[f170,f732]) ).

fof(f1293,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_110 ),
    inference(superposition,[],[f171,f883]) ).

fof(f1294,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_84 ),
    inference(superposition,[],[f172,f732]) ).

fof(f1295,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_110 ),
    inference(superposition,[],[f173,f883]) ).

fof(f1296,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_13 ),
    inference(superposition,[],[f174,f365]) ).

fof(f1297,plain,
    ( ~ spl15_95
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f1296,f364,f811]) ).

fof(f1299,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_77 ),
    inference(superposition,[],[f175,f675]) ).

fof(f1300,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_77 ),
    inference(superposition,[],[f176,f675]) ).

fof(f1301,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_113 ),
    inference(superposition,[],[f177,f899]) ).

fof(f1302,plain,
    ( op(e0,e0) != e3
    | ~ spl15_77 ),
    inference(superposition,[],[f178,f675]) ).

fof(f1303,plain,
    ( op(e0,e0) != e1
    | ~ spl15_113 ),
    inference(superposition,[],[f179,f899]) ).

fof(f1304,plain,
    ( op(e0,e0) != e2
    | ~ spl15_119 ),
    inference(superposition,[],[f180,f929]) ).

fof(f1305,plain,
    ( e2 != op(e1,e0)
    | spl15_12
    | ~ spl15_13 ),
    inference(superposition,[],[f362,f365]) ).

fof(f1308,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_12
    | ~ spl15_13 ),
    inference(superposition,[],[f361,f365]) ).

fof(f1309,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_13
    | spl15_24 ),
    inference(superposition,[],[f416,f365]) ).

fof(f1311,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_15
    | spl15_32 ),
    inference(superposition,[],[f454,f374]) ).

fof(f1312,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_26
    | ~ spl15_53 ),
    inference(superposition,[],[f552,f424]) ).

fof(f1313,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_57
    | ~ spl15_78 ),
    inference(superposition,[],[f569,f684]) ).

fof(f1314,plain,
    ( $false
    | ~ spl15_57
    | spl15_72
    | ~ spl15_78 ),
    inference(forward_subsumption_resolution,[],[f1313,f642]) ).

fof(f1315,plain,
    ( ~ spl15_57
    | spl15_72
    | ~ spl15_78 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1317,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_59
    | ~ spl15_87 ),
    inference(superposition,[],[f577,f751]) ).

fof(f1318,plain,
    ( $false
    | ~ spl15_59
    | spl15_73
    | ~ spl15_87 ),
    inference(forward_subsumption_resolution,[],[f1317,f650]) ).

fof(f1319,plain,
    ( ~ spl15_59
    | spl15_73
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f1318]) ).

fof(f1321,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_60
    | ~ spl15_109 ),
    inference(superposition,[],[f581,f878]) ).

fof(f1324,plain,
    ( spl15_91
    | ~ spl15_60
    | ~ spl15_109 ),
    inference(avatar_split_clause,[],[f1321,f876,f579,f783]) ).

fof(f1325,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_30 ),
    inference(superposition,[],[f133,f444]) ).

fof(f1326,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_30 ),
    inference(superposition,[],[f134,f444]) ).

fof(f1327,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_30 ),
    inference(superposition,[],[f136,f444]) ).

fof(f1328,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_30 ),
    inference(superposition,[],[f157,f444]) ).

fof(f1329,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_30 ),
    inference(superposition,[],[f158,f444]) ).

fof(f1330,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_30 ),
    inference(superposition,[],[f160,f444]) ).

fof(f1333,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_30
    | ~ spl15_53 ),
    inference(superposition,[],[f552,f444]) ).

fof(f1337,plain,
    ( $false
    | ~ spl15_30
    | ~ spl15_79 ),
    inference(forward_subsumption_resolution,[],[f1328,f689]) ).

fof(f1338,plain,
    ( ~ spl15_30
    | ~ spl15_79 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1341,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_22 ),
    inference(superposition,[],[f133,f406]) ).

fof(f1342,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_22 ),
    inference(superposition,[],[f134,f406]) ).

fof(f1343,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_22 ),
    inference(superposition,[],[f136,f406]) ).

fof(f1344,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_22 ),
    inference(superposition,[],[f157,f406]) ).

fof(f1345,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_22 ),
    inference(superposition,[],[f158,f406]) ).

fof(f1346,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_22 ),
    inference(superposition,[],[f160,f406]) ).

fof(f1348,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_22
    | ~ spl15_53 ),
    inference(superposition,[],[f552,f406]) ).

fof(f1368,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_15
    | ~ spl15_58 ),
    inference(superposition,[],[f573,f374]) ).

fof(f1372,plain,
    ( ~ spl15_106
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1227,f423,f863]) ).

fof(f1373,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_5 ),
    inference(superposition,[],[f150,f330]) ).

fof(f1374,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_5 ),
    inference(superposition,[],[f174,f330]) ).

fof(f1375,plain,
    ( e2 = op(e1,e2)
    | ~ spl15_5
    | ~ spl15_12 ),
    inference(superposition,[],[f361,f330]) ).

fof(f1377,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_5
    | spl15_24 ),
    inference(superposition,[],[f416,f330]) ).

fof(f1379,plain,
    ( spl15_80
    | ~ spl15_5
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f1375,f360,f329,f702]) ).

fof(f1382,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_119 ),
    inference(forward_subsumption_resolution,[],[f1373,f929]) ).

fof(f1383,plain,
    ( ~ spl15_5
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1384,plain,
    ( ~ spl15_18
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f1252,f654,f387]) ).

fof(f1385,plain,
    ( ~ spl15_18
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f1293,f881,f387]) ).

fof(f1386,plain,
    ( ~ spl15_119
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f1373,f329,f927]) ).

fof(f1387,plain,
    ( ~ spl15_118
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f1374,f329,f922]) ).

fof(f1398,plain,
    ( e1 = e2
    | ~ spl15_80
    | ~ spl15_87 ),
    inference(superposition,[],[f704,f751]) ).

fof(f1399,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_80 ),
    inference(superposition,[],[f147,f704]) ).

fof(f1400,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_80 ),
    inference(superposition,[],[f149,f704]) ).

fof(f1401,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_80 ),
    inference(superposition,[],[f168,f704]) ).

fof(f1410,plain,
    ( ~ spl15_119
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f1400,f702,f927]) ).

fof(f1413,plain,
    ( $false
    | ~ spl15_80
    | ~ spl15_87 ),
    inference(forward_subsumption_resolution,[],[f1398,f183]) ).

fof(f1414,plain,
    ( ~ spl15_80
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1415,plain,
    ( e0 = e2
    | ~ spl15_15
    | ~ spl15_70 ),
    inference(superposition,[],[f630,f374]) ).

fof(f1416,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_70 ),
    inference(superposition,[],[f141,f630]) ).

fof(f1417,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_70 ),
    inference(superposition,[],[f143,f630]) ).

fof(f1418,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_70 ),
    inference(superposition,[],[f165,f630]) ).

fof(f1419,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_70 ),
    inference(superposition,[],[f167,f630]) ).

fof(f1426,plain,
    ( ~ spl15_80
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1418,f629,f702]) ).

fof(f1427,plain,
    ( $false
    | ~ spl15_15
    | ~ spl15_70 ),
    inference(forward_subsumption_resolution,[],[f1415,f185]) ).

fof(f1428,plain,
    ( ~ spl15_15
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1431,plain,
    ( e0 = e1
    | ~ spl15_92
    | ~ spl15_113 ),
    inference(superposition,[],[f794,f899]) ).

fof(f1432,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_92 ),
    inference(superposition,[],[f179,f794]) ).

fof(f1433,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_92 ),
    inference(superposition,[],[f177,f794]) ).

fof(f1434,plain,
    ( e0 = e1
    | ~ spl15_92
    | ~ spl15_113 ),
    inference(superposition,[],[f899,f794]) ).

fof(f1437,plain,
    ( $false
    | ~ spl15_92
    | ~ spl15_113 ),
    inference(forward_subsumption_resolution,[],[f1434,f186]) ).

fof(f1438,plain,
    ( ~ spl15_92
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1437]) ).

fof(f1439,plain,
    ( ~ spl15_94
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f1433,f792,f806]) ).

fof(f1440,plain,
    ( $false
    | ~ spl15_92
    | ~ spl15_113 ),
    inference(forward_subsumption_resolution,[],[f1431,f186]) ).

fof(f1441,plain,
    ( ~ spl15_92
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1442,plain,
    ( ~ spl15_89
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f1257,f749,f769]) ).

fof(f1443,plain,
    ( ~ spl15_88
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f1264,f840,f764]) ).

fof(f1444,plain,
    ( ~ spl15_117
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f1256,f654,f917]) ).

fof(f1445,plain,
    ( ~ spl15_117
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1300,f673,f917]) ).

fof(f1446,plain,
    ( ~ spl15_76
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f1284,f654,f668]) ).

fof(f1447,plain,
    ( spl15_119
    | ~ spl15_12
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f1308,f364,f360,f927]) ).

fof(f1448,plain,
    ( ~ spl15_117
    | ~ spl15_13
    | spl15_24 ),
    inference(avatar_split_clause,[],[f1309,f414,f364,f917]) ).

fof(f1451,plain,
    ( ~ spl15_16
    | ~ spl15_109 ),
    inference(avatar_split_clause,[],[f1269,f876,f378]) ).

fof(f1452,plain,
    ( ~ spl15_16
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1302,f673,f378]) ).

fof(f1453,plain,
    ( ~ spl15_2
    | ~ spl15_119 ),
    inference(avatar_split_clause,[],[f1304,f927,f316]) ).

fof(f1454,plain,
    ( ~ spl15_52
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f1432,f792,f543]) ).

fof(f1455,plain,
    ( spl15_77
    | ~ spl15_26
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f1312,f550,f423,f673]) ).

fof(f1465,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_75 ),
    inference(superposition,[],[f138,f661]) ).

fof(f1466,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_75 ),
    inference(superposition,[],[f169,f661]) ).

fof(f1467,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_75 ),
    inference(superposition,[],[f170,f661]) ).

fof(f1468,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_75 ),
    inference(superposition,[],[f172,f661]) ).

fof(f1470,plain,
    ( ~ spl15_110
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f1466,f659,f881]) ).

fof(f1471,plain,
    ( ~ spl15_77
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f1465,f659,f673]) ).

fof(f1472,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_76 ),
    inference(superposition,[],[f151,f670]) ).

fof(f1473,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_76 ),
    inference(superposition,[],[f152,f670]) ).

fof(f1474,plain,
    ( op(e0,e0) != e3
    | ~ spl15_76 ),
    inference(superposition,[],[f154,f670]) ).

fof(f1476,plain,
    ( $false
    | ~ spl15_76
    | ~ spl15_109 ),
    inference(forward_subsumption_resolution,[],[f1472,f878]) ).

fof(f1477,plain,
    ( ~ spl15_76
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f1476]) ).

fof(f1478,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_71 ),
    inference(superposition,[],[f139,f638]) ).

fof(f1479,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_71 ),
    inference(superposition,[],[f140,f638]) ).

fof(f1480,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_71 ),
    inference(superposition,[],[f142,f638]) ).

fof(f1481,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_71 ),
    inference(superposition,[],[f159,f638]) ).

fof(f1482,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_71 ),
    inference(superposition,[],[f161,f638]) ).

fof(f1485,plain,
    ( ~ spl15_76
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1482,f636,f668]) ).

fof(f1486,plain,
    ( ~ spl15_111
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1480,f636,f885]) ).

fof(f1487,plain,
    ( ~ spl15_110
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1479,f636,f881]) ).

fof(f1488,plain,
    ( ~ spl15_89
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f1301,f897,f769]) ).

fof(f1490,plain,
    ( op(e0,e0) != e1
    | ~ spl15_88 ),
    inference(superposition,[],[f156,f766]) ).

fof(f1492,plain,
    ( e0 = e3
    | ~ spl15_93
    | ~ spl15_109 ),
    inference(superposition,[],[f799,f878]) ).

fof(f1493,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_93 ),
    inference(superposition,[],[f153,f799]) ).

fof(f1494,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_93 ),
    inference(superposition,[],[f155,f799]) ).

fof(f1500,plain,
    ( ~ spl15_95
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f1493,f797,f811]) ).

fof(f1501,plain,
    ( $false
    | ~ spl15_93
    | ~ spl15_109 ),
    inference(forward_subsumption_resolution,[],[f1492,f184]) ).

fof(f1502,plain,
    ( ~ spl15_93
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f1501]) ).

fof(f1505,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_94 ),
    inference(superposition,[],[f180,f808]) ).

fof(f1506,plain,
    ( e0 = e1
    | ~ spl15_88
    | ~ spl15_95 ),
    inference(superposition,[],[f813,f766]) ).

fof(f1512,plain,
    ( $false
    | ~ spl15_88
    | ~ spl15_95 ),
    inference(forward_subsumption_resolution,[],[f1506,f186]) ).

fof(f1513,plain,
    ( ~ spl15_88
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1512]) ).

fof(f1514,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_86 ),
    inference(superposition,[],[f144,f746]) ).

fof(f1515,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_86 ),
    inference(superposition,[],[f171,f746]) ).

fof(f1516,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_86 ),
    inference(superposition,[],[f173,f746]) ).

fof(f1518,plain,
    ( ~ spl15_88
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f1516,f744,f764]) ).

fof(f1519,plain,
    ( ~ spl15_113
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f1514,f744,f897]) ).

fof(f1520,plain,
    ( ~ spl15_83
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1417,f629,f721]) ).

fof(f1521,plain,
    ( ~ spl15_115
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f1247,f373,f907]) ).

fof(f1522,plain,
    ( ~ spl15_114
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f1287,f373,f902]) ).

fof(f1523,plain,
    ( ~ spl15_111
    | ~ spl15_15
    | spl15_32 ),
    inference(avatar_split_clause,[],[f1311,f452,f373,f885]) ).

fof(f1524,plain,
    ( spl15_83
    | ~ spl15_15
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f1368,f571,f373,f721]) ).

fof(f1525,plain,
    ( ~ spl15_70
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f1285,f682,f629]) ).

fof(f1526,plain,
    ( ~ spl15_5
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f1399,f702,f329]) ).

fof(f1530,plain,
    ( ~ spl15_80
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f1286,f682,f702]) ).

fof(f1531,plain,
    ( ~ spl15_18
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f1467,f659,f387]) ).

fof(f1532,plain,
    ( ~ spl15_28
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1478,f636,f433]) ).

fof(f1533,plain,
    ( ~ spl15_109
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1472,f668,f876]) ).

fof(f1540,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_28 ),
    inference(superposition,[],[f141,f434]) ).

fof(f1541,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_28 ),
    inference(superposition,[],[f143,f434]) ).

fof(f1542,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_28 ),
    inference(superposition,[],[f165,f434]) ).

fof(f1543,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_28 ),
    inference(superposition,[],[f167,f434]) ).

fof(f1548,plain,
    ( ~ spl15_109
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f1543,f433,f876]) ).

fof(f1549,plain,
    ( ~ spl15_111
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f1541,f433,f885]) ).

fof(f1550,plain,
    ( ~ spl15_110
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f1540,f433,f881]) ).

fof(f1563,plain,
    ( op(e0,e0) != e2
    | ~ spl15_83 ),
    inference(superposition,[],[f179,f723]) ).

fof(f1564,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_83 ),
    inference(superposition,[],[f177,f723]) ).

fof(f1565,plain,
    ( ~ spl15_119
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f1564,f721,f927]) ).

fof(f1568,plain,
    ( ~ spl15_16
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1474,f668,f378]) ).

fof(f1569,plain,
    ( ~ spl15_2
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f1563,f721,f316]) ).

fof(f1570,plain,
    ( ~ spl15_108
    | ~ spl15_5
    | spl15_24 ),
    inference(avatar_split_clause,[],[f1377,f414,f329,f872]) ).

fof(f1589,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_85 ),
    inference(superposition,[],[f145,f737]) ).

fof(f1590,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_85 ),
    inference(superposition,[],[f146,f737]) ).

fof(f1591,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_85 ),
    inference(superposition,[],[f148,f737]) ).

fof(f1592,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_85 ),
    inference(superposition,[],[f162,f737]) ).

fof(f1595,plain,
    ( ~ spl15_101
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1592,f735,f840]) ).

fof(f1596,plain,
    ( ~ spl15_87
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1589,f735,f749]) ).

fof(f1598,plain,
    ( e1 = e2
    | ~ spl15_85
    | ~ spl15_96 ),
    inference(superposition,[],[f820,f737]) ).

fof(f1599,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_96 ),
    inference(superposition,[],[f145,f820]) ).

fof(f1600,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_96 ),
    inference(superposition,[],[f146,f820]) ).

fof(f1601,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_96 ),
    inference(superposition,[],[f148,f820]) ).

fof(f1602,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_96 ),
    inference(superposition,[],[f162,f820]) ).

fof(f1608,plain,
    ( ~ spl15_97
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1602,f818,f822]) ).

fof(f1609,plain,
    ( ~ spl15_119
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1601,f818,f927]) ).

fof(f1612,plain,
    ( $false
    | ~ spl15_85
    | ~ spl15_96 ),
    inference(forward_subsumption_resolution,[],[f1598,f183]) ).

fof(f1613,plain,
    ( ~ spl15_85
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1615,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_97 ),
    inference(superposition,[],[f151,f824]) ).

fof(f1616,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_97 ),
    inference(superposition,[],[f152,f824]) ).

fof(f1617,plain,
    ( op(e0,e0) != e2
    | ~ spl15_97 ),
    inference(superposition,[],[f154,f824]) ).

fof(f1620,plain,
    ( ~ spl15_118
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f1616,f822,f922]) ).

fof(f1622,plain,
    ( e1 = e3
    | ~ spl15_71
    | ~ spl15_100 ),
    inference(superposition,[],[f838,f638]) ).

fof(f1623,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_100 ),
    inference(superposition,[],[f139,f838]) ).

fof(f1624,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_100 ),
    inference(superposition,[],[f140,f838]) ).

fof(f1625,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_100 ),
    inference(superposition,[],[f142,f838]) ).

fof(f1626,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_100 ),
    inference(superposition,[],[f159,f838]) ).

fof(f1627,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_100 ),
    inference(superposition,[],[f161,f838]) ).

fof(f1628,plain,
    ( e1 = e3
    | ~ spl15_71
    | ~ spl15_100 ),
    inference(superposition,[],[f638,f838]) ).

fof(f1631,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_100 ),
    inference(forward_subsumption_resolution,[],[f1628,f182]) ).

fof(f1632,plain,
    ( ~ spl15_71
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1633,plain,
    ( ~ spl15_101
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1627,f836,f840]) ).

fof(f1636,plain,
    ( ~ spl15_113
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1625,f836,f897]) ).

fof(f1639,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_100 ),
    inference(forward_subsumption_resolution,[],[f1622,f182]) ).

fof(f1640,plain,
    ( ~ spl15_71
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1639]) ).

fof(f1644,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_103 ),
    inference(superposition,[],[f175,f851]) ).

fof(f1645,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_103 ),
    inference(superposition,[],[f176,f851]) ).

fof(f1646,plain,
    ( op(e0,e0) != e1
    | ~ spl15_103 ),
    inference(superposition,[],[f178,f851]) ).

fof(f1650,plain,
    ( ~ spl15_113
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f1644,f849,f897]) ).

fof(f1652,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_108 ),
    inference(superposition,[],[f147,f874]) ).

fof(f1653,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_108 ),
    inference(superposition,[],[f149,f874]) ).

fof(f1654,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_108 ),
    inference(superposition,[],[f168,f874]) ).

fof(f1660,plain,
    ( ~ spl15_109
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f1654,f872,f876]) ).

fof(f1661,plain,
    ( ~ spl15_117
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f1653,f872,f917]) ).

fof(f1662,plain,
    ( $false
    | ~ spl15_22
    | ~ spl15_103 ),
    inference(forward_subsumption_resolution,[],[f1343,f851]) ).

fof(f1663,plain,
    ( ~ spl15_22
    | ~ spl15_103 ),
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1666,plain,
    ( ~ spl15_8
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f1646,f849,f342]) ).

fof(f1667,plain,
    ( ~ spl15_112
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f1290,f749,f892]) ).

fof(f1668,plain,
    ( ~ spl15_103
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1343,f405,f849]) ).

fof(f1669,plain,
    ( ~ spl15_85
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1345,f405,f735]) ).

fof(f1672,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_10 ),
    inference(superposition,[],[f141,f352]) ).

fof(f1673,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_10 ),
    inference(superposition,[],[f143,f352]) ).

fof(f1674,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_10 ),
    inference(superposition,[],[f165,f352]) ).

fof(f1675,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_10 ),
    inference(superposition,[],[f167,f352]) ).

fof(f1677,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_10
    | spl15_32 ),
    inference(superposition,[],[f454,f352]) ).

fof(f1679,plain,
    ( ~ spl15_110
    | ~ spl15_10
    | spl15_32 ),
    inference(avatar_split_clause,[],[f1677,f452,f351,f881]) ).

fof(f1680,plain,
    ( ~ spl15_112
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f1675,f351,f892]) ).

fof(f1681,plain,
    ( ~ spl15_87
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f1674,f351,f749]) ).

fof(f1682,plain,
    ( ~ spl15_113
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f1673,f351,f897]) ).

fof(f1685,plain,
    ( ~ spl15_111
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1299,f673,f885]) ).

fof(f1689,plain,
    ( ~ spl15_86
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f1672,f351,f744]) ).

fof(f1690,plain,
    ( ~ spl15_116
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f1468,f659,f912]) ).

fof(f1691,plain,
    ( ~ spl15_8
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f1490,f764,f342]) ).

fof(f1712,plain,
    ( e0 = e1
    | ~ spl15_89
    | ~ spl15_94 ),
    inference(superposition,[],[f771,f808]) ).

fof(f1714,plain,
    ( op(e0,e0) != e1
    | ~ spl15_89 ),
    inference(superposition,[],[f180,f771]) ).

fof(f1717,plain,
    ( $false
    | ~ spl15_89
    | ~ spl15_94 ),
    inference(forward_subsumption_resolution,[],[f1712,f186]) ).

fof(f1718,plain,
    ( ~ spl15_89
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1717]) ).

fof(f1719,plain,
    ( ~ spl15_78
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f1325,f443,f682]) ).

fof(f1722,plain,
    ( ~ spl15_89
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1591,f735,f769]) ).

fof(f1723,plain,
    ( ~ spl15_89
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f1645,f849,f769]) ).

fof(f1724,plain,
    ( ~ spl15_82
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f1615,f822,f716]) ).

fof(f1725,plain,
    ( ~ spl15_97
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f1330,f443,f822]) ).

fof(f1735,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_82 ),
    inference(superposition,[],[f153,f718]) ).

fof(f1736,plain,
    ( op(e0,e0) != e2
    | ~ spl15_82 ),
    inference(superposition,[],[f155,f718]) ).

fof(f1737,plain,
    ( ~ spl15_118
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f1735,f716,f922]) ).

fof(f1745,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_90 ),
    inference(superposition,[],[f175,f780]) ).

fof(f1746,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_90 ),
    inference(superposition,[],[f176,f780]) ).

fof(f1747,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_90 ),
    inference(superposition,[],[f178,f780]) ).

fof(f1752,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_91 ),
    inference(superposition,[],[f151,f785]) ).

fof(f1753,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_91 ),
    inference(superposition,[],[f152,f785]) ).

fof(f1754,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_91 ),
    inference(superposition,[],[f154,f785]) ).

fof(f1757,plain,
    ( ~ spl15_95
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1753,f783,f811]) ).

fof(f1758,plain,
    ( ~ spl15_93
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1752,f783,f797]) ).

fof(f1768,plain,
    ( e0 = e1
    | ~ spl15_85
    | ~ spl15_105 ),
    inference(superposition,[],[f860,f737]) ).

fof(f1769,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_105 ),
    inference(superposition,[],[f145,f860]) ).

fof(f1770,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_105 ),
    inference(superposition,[],[f146,f860]) ).

fof(f1771,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_105 ),
    inference(superposition,[],[f148,f860]) ).

fof(f1772,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_105 ),
    inference(superposition,[],[f162,f860]) ).

fof(f1778,plain,
    ( $false
    | ~ spl15_91
    | ~ spl15_105 ),
    inference(forward_subsumption_resolution,[],[f1772,f785]) ).

fof(f1779,plain,
    ( ~ spl15_91
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1778]) ).

fof(f1780,plain,
    ( $false
    | ~ spl15_94
    | ~ spl15_105 ),
    inference(forward_subsumption_resolution,[],[f1771,f808]) ).

fof(f1781,plain,
    ( ~ spl15_94
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1782,plain,
    ( ~ spl15_114
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f1769,f858,f902]) ).

fof(f1783,plain,
    ( $false
    | ~ spl15_85
    | ~ spl15_105 ),
    inference(forward_subsumption_resolution,[],[f1768,f186]) ).

fof(f1784,plain,
    ( ~ spl15_85
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1783]) ).

fof(f1786,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_106 ),
    inference(superposition,[],[f135,f865]) ).

fof(f1787,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_106 ),
    inference(superposition,[],[f137,f865]) ).

fof(f1788,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_106 ),
    inference(superposition,[],[f163,f865]) ).

fof(f1789,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_106 ),
    inference(superposition,[],[f164,f865]) ).

fof(f1790,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_106 ),
    inference(superposition,[],[f166,f865]) ).

fof(f1794,plain,
    ( ~ spl15_114
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1789,f863,f902]) ).

fof(f1795,plain,
    ( ~ spl15_107
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1786,f863,f867]) ).

fof(f1807,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_115 ),
    inference(superposition,[],[f144,f909]) ).

fof(f1808,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_115 ),
    inference(superposition,[],[f171,f909]) ).

fof(f1809,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_115 ),
    inference(superposition,[],[f173,f909]) ).

fof(f1817,plain,
    ( e1 != op(e0,e3)
    | spl15_1
    | ~ spl15_16 ),
    inference(superposition,[],[f314,f379]) ).

fof(f1822,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_56
    | ~ spl15_91 ),
    inference(superposition,[],[f564,f785]) ).

fof(f1825,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_54
    | ~ spl15_71 ),
    inference(superposition,[],[f556,f638]) ).

fof(f1826,plain,
    ( $false
    | ~ spl15_54
    | ~ spl15_71
    | spl15_79 ),
    inference(forward_subsumption_resolution,[],[f1825,f688]) ).

fof(f1827,plain,
    ( ~ spl15_54
    | ~ spl15_71
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f1826]) ).

fof(f1829,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_55
    | ~ spl15_85 ),
    inference(superposition,[],[f560,f737]) ).

fof(f1832,plain,
    ( ~ spl15_82
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f1288,f682,f716]) ).

fof(f1833,plain,
    ( ~ spl15_94
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1746,f778,f806]) ).

fof(f1834,plain,
    ( ~ spl15_94
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f1771,f858,f806]) ).

fof(f1835,plain,
    ( ~ spl15_91
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f1772,f858,f783]) ).

fof(f1882,plain,
    ( e0 != op(e0,e2)
    | spl15_56
    | ~ spl15_97 ),
    inference(superposition,[],[f563,f824]) ).

fof(f1885,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_56
    | ~ spl15_97 ),
    inference(superposition,[],[f564,f824]) ).

fof(f1887,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_10
    | ~ spl15_58 ),
    inference(superposition,[],[f573,f352]) ).

fof(f1891,plain,
    ( spl15_81
    | ~ spl15_10
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f1887,f571,f351,f707]) ).

fof(f1892,plain,
    ( e0 = e2
    | ~ spl15_81
    | ~ spl15_115 ),
    inference(superposition,[],[f709,f909]) ).

fof(f1893,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_81 ),
    inference(superposition,[],[f144,f709]) ).

fof(f1894,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_81 ),
    inference(superposition,[],[f171,f709]) ).

fof(f1895,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_81 ),
    inference(superposition,[],[f173,f709]) ).

fof(f1905,plain,
    ( $false
    | ~ spl15_81
    | ~ spl15_115 ),
    inference(forward_subsumption_resolution,[],[f1892,f185]) ).

fof(f1906,plain,
    ( ~ spl15_81
    | ~ spl15_115 ),
    inference(avatar_contradiction_clause,[],[f1905]) ).

fof(f1908,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_10
    | spl15_58 ),
    inference(superposition,[],[f572,f352]) ).

fof(f1909,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_59
    | ~ spl15_108 ),
    inference(superposition,[],[f577,f874]) ).

fof(f1913,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_60
    | ~ spl15_93 ),
    inference(superposition,[],[f581,f799]) ).

fof(f1916,plain,
    ( ~ spl15_83
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f1893,f707,f721]) ).

fof(f1917,plain,
    ( ~ spl15_5
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f1894,f707,f329]) ).

fof(f1918,plain,
    ( ~ spl15_5
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1600,f818,f329]) ).

fof(f1919,plain,
    ( ~ spl15_92
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1745,f778,f792]) ).

fof(f1920,plain,
    ( e1 != op(e0,e2)
    | spl15_1
    | ~ spl15_2 ),
    inference(superposition,[],[f314,f317]) ).

fof(f1925,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_18 ),
    inference(superposition,[],[f174,f388]) ).

fof(f1927,plain,
    ( e2 != op(e1,e3)
    | spl15_12
    | ~ spl15_18 ),
    inference(superposition,[],[f362,f388]) ).

fof(f1933,plain,
    ( ~ spl15_96
    | spl15_12
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f1927,f387,f360,f818]) ).

fof(f1963,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_107 ),
    inference(superposition,[],[f138,f869]) ).

fof(f1964,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_107 ),
    inference(superposition,[],[f169,f869]) ).

fof(f1965,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_107 ),
    inference(superposition,[],[f170,f869]) ).

fof(f1966,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_107 ),
    inference(superposition,[],[f172,f869]) ).

fof(f1970,plain,
    ( ~ spl15_115
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f1964,f867,f907]) ).

fof(f1976,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_114 ),
    inference(superposition,[],[f147,f904]) ).

fof(f1977,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_114 ),
    inference(superposition,[],[f149,f904]) ).

fof(f1978,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_114 ),
    inference(superposition,[],[f168,f904]) ).

fof(f1986,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_12
    | ~ spl15_18 ),
    inference(superposition,[],[f361,f388]) ).

fof(f1990,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_55
    | ~ spl15_96 ),
    inference(superposition,[],[f560,f820]) ).

fof(f1993,plain,
    ( ~ spl15_81
    | ~ spl15_10
    | spl15_58 ),
    inference(avatar_split_clause,[],[f1908,f571,f351,f707]) ).

fof(f1994,plain,
    ( ~ spl15_81
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f1246,f687,f707]) ).

fof(f2005,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_55
    | ~ spl15_74 ),
    inference(superposition,[],[f560,f656]) ).

fof(f2008,plain,
    ( $false
    | ~ spl15_55
    | ~ spl15_74
    | spl15_85 ),
    inference(forward_subsumption_resolution,[],[f2005,f736]) ).

fof(f2009,plain,
    ( ~ spl15_55
    | ~ spl15_74
    | spl15_85 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2027,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_54
    | ~ spl15_79 ),
    inference(superposition,[],[f556,f689]) ).

fof(f2028,plain,
    ( $false
    | ~ spl15_54
    | spl15_70
    | ~ spl15_79 ),
    inference(forward_subsumption_resolution,[],[f2027,f631]) ).

fof(f2029,plain,
    ( ~ spl15_54
    | spl15_70
    | ~ spl15_79 ),
    inference(avatar_contradiction_clause,[],[f2028]) ).

fof(f2030,plain,
    ( ~ spl15_79
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f1328,f443,f687]) ).

fof(f2031,plain,
    ( ~ spl15_2
    | ~ spl15_118 ),
    inference(avatar_split_clause,[],[f1270,f922,f316]) ).

fof(f2032,plain,
    ( ~ spl15_102
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1341,f405,f845]) ).

fof(f2033,plain,
    ( ~ spl15_90
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f1963,f867,f778]) ).

fof(f2034,plain,
    ( ~ spl15_8
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f1714,f769,f342]) ).

fof(f2035,plain,
    ( ~ spl15_2
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f1736,f716,f316]) ).

fof(f2036,plain,
    ( ~ spl15_90
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1787,f863,f778]) ).

fof(f2037,plain,
    ( ~ spl15_92
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f1807,f907,f792]) ).

fof(f2039,plain,
    ( ~ spl15_98
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f1326,f443,f827]) ).

fof(f2040,plain,
    ( ~ spl15_82
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f1401,f702,f716]) ).

fof(f2041,plain,
    ( ~ spl15_80
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1599,f818,f702]) ).

fof(f2042,plain,
    ( ~ spl15_108
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f1251,f654,f872]) ).

fof(f2043,plain,
    ( ~ spl15_108
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f1542,f433,f872]) ).

fof(f2045,plain,
    ( ~ spl15_96
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f1329,f443,f818]) ).

fof(f2046,plain,
    ( ~ spl15_73
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f1515,f744,f648]) ).

fof(f2047,plain,
    ( ~ spl15_8
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f1268,f840,f342]) ).

fof(f2048,plain,
    ( ~ spl15_94
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f1977,f902,f806]) ).

fof(f2050,plain,
    ( ~ spl15_86
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f1291,f730,f744]) ).

fof(f2051,plain,
    ( ~ spl15_73
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f1292,f730,f648]) ).

fof(f2052,plain,
    ( ~ spl15_88
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f1294,f730,f764]) ).

fof(f2054,plain,
    ( ~ spl15_10
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1623,f836,f351]) ).

fof(f2055,plain,
    ( ~ spl15_86
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1624,f836,f744]) ).

fof(f2064,plain,
    ( e1 != op(e0,e1)
    | spl15_1
    | ~ spl15_8 ),
    inference(superposition,[],[f314,f343]) ).

fof(f2066,plain,
    ( ~ spl15_88
    | spl15_1
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f2064,f342,f312,f764]) ).

fof(f2115,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_54
    | ~ spl15_100 ),
    inference(superposition,[],[f556,f838]) ).

fof(f2120,plain,
    ( ~ spl15_101
    | spl15_1
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f1817,f378,f312,f840]) ).

fof(f2121,plain,
    ( spl15_72
    | ~ spl15_30
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f1333,f550,f443,f641]) ).

fof(f2122,plain,
    ( ~ spl15_99
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f1327,f443,f831]) ).

fof(f2124,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_72 ),
    inference(superposition,[],[f135,f643]) ).

fof(f2125,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_72 ),
    inference(superposition,[],[f137,f643]) ).

fof(f2126,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_72 ),
    inference(superposition,[],[f163,f643]) ).

fof(f2127,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_72 ),
    inference(superposition,[],[f164,f643]) ).

fof(f2128,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_72 ),
    inference(superposition,[],[f166,f643]) ).

fof(f2131,plain,
    ( ~ spl15_109
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f2128,f641,f876]) ).

fof(f2132,plain,
    ( ~ spl15_108
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f2127,f641,f872]) ).

fof(f2135,plain,
    ( ~ spl15_77
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f2125,f641,f673]) ).

fof(f2140,plain,
    ( ~ spl15_28
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f2126,f641,f433]) ).

fof(f2141,plain,
    ( ~ spl15_116
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f1295,f881,f912]) ).

fof(f2170,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_104 ),
    inference(superposition,[],[f139,f856]) ).

fof(f2171,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_104 ),
    inference(superposition,[],[f140,f856]) ).

fof(f2172,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_104 ),
    inference(superposition,[],[f142,f856]) ).

fof(f2173,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_104 ),
    inference(superposition,[],[f159,f856]) ).

fof(f2174,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_104 ),
    inference(superposition,[],[f161,f856]) ).

fof(f2178,plain,
    ( ~ spl15_115
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2171,f854,f907]) ).

fof(f2196,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_1
    | ~ spl15_16 ),
    inference(superposition,[],[f313,f379]) ).

fof(f2199,plain,
    ( e2 != op(e2,e0)
    | spl15_54
    | ~ spl15_104 ),
    inference(superposition,[],[f555,f856]) ).

fof(f2200,plain,
    ( $false
    | spl15_54
    | ~ spl15_83
    | ~ spl15_104 ),
    inference(forward_subsumption_resolution,[],[f2199,f723]) ).

fof(f2201,plain,
    ( spl15_54
    | ~ spl15_83
    | ~ spl15_104 ),
    inference(avatar_contradiction_clause,[],[f2200]) ).

fof(f2202,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_54
    | ~ spl15_104 ),
    inference(superposition,[],[f556,f856]) ).

fof(f2204,plain,
    ( e0 != op(e0,e1)
    | spl15_56
    | ~ spl15_101 ),
    inference(superposition,[],[f563,f842]) ).

fof(f2207,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_56
    | ~ spl15_101 ),
    inference(superposition,[],[f564,f842]) ).

fof(f2210,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_59
    | ~ spl15_114 ),
    inference(superposition,[],[f577,f904]) ).

fof(f2211,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_60
    | ~ spl15_82 ),
    inference(superposition,[],[f581,f718]) ).

fof(f2212,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_82
    | spl15_93 ),
    inference(forward_subsumption_resolution,[],[f2211,f798]) ).

fof(f2213,plain,
    ( ~ spl15_60
    | ~ spl15_82
    | spl15_93 ),
    inference(avatar_contradiction_clause,[],[f2212]) ).

fof(f2215,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_5
    | ~ spl15_63 ),
    inference(superposition,[],[f594,f330]) ).

fof(f2221,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_64
    | ~ spl15_95 ),
    inference(superposition,[],[f598,f813]) ).

fof(f2222,plain,
    ( $false
    | spl15_52
    | ~ spl15_64
    | ~ spl15_95 ),
    inference(forward_subsumption_resolution,[],[f2221,f545]) ).

fof(f2223,plain,
    ( spl15_52
    | ~ spl15_64
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f2222]) ).

fof(f2224,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_61
    | ~ spl15_84 ),
    inference(superposition,[],[f586,f732]) ).

fof(f2225,plain,
    ( $false
    | ~ spl15_61
    | spl15_75
    | ~ spl15_84 ),
    inference(forward_subsumption_resolution,[],[f2224,f660]) ).

fof(f2226,plain,
    ( ~ spl15_61
    | spl15_75
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f2225]) ).

fof(f2228,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_62
    | ~ spl15_110 ),
    inference(superposition,[],[f590,f883]) ).

fof(f2231,plain,
    ( ~ spl15_95
    | spl15_56
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2204,f840,f562,f811]) ).

fof(f2236,plain,
    ( ~ spl15_95
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f1809,f907,f811]) ).

fof(f2239,plain,
    ( ~ spl15_13
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f1770,f858,f364]) ).

fof(f2240,plain,
    ( ~ spl15_13
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f1965,f867,f364]) ).

fof(f2241,plain,
    ( ~ spl15_95
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f1966,f867,f811]) ).

fof(f2242,plain,
    ( ~ spl15_83
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f1248,f687,f721]) ).

fof(f2243,plain,
    ( ~ spl15_119
    | spl15_12
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f1305,f364,f360,f927]) ).

fof(f2244,plain,
    ( ~ spl15_104
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1271,f423,f854]) ).

fof(f2245,plain,
    ( spl15_95
    | ~ spl15_56
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2207,f840,f562,f811]) ).

fof(f2246,plain,
    ( ~ spl15_116
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1473,f668,f912]) ).

fof(f2248,plain,
    ( e1 = op(e0,e1)
    | ~ spl15_1
    | ~ spl15_8 ),
    inference(superposition,[],[f313,f343]) ).

fof(f2251,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_8
    | spl15_88 ),
    inference(forward_subsumption_resolution,[],[f2248,f765]) ).

fof(f2252,plain,
    ( ~ spl15_1
    | ~ spl15_8
    | spl15_88 ),
    inference(avatar_contradiction_clause,[],[f2251]) ).

fof(f2264,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_13
    | spl15_63 ),
    inference(superposition,[],[f593,f365]) ).

fof(f2266,plain,
    ( ~ spl15_89
    | ~ spl15_13
    | spl15_63 ),
    inference(avatar_split_clause,[],[f2264,f592,f364,f769]) ).

fof(f2277,plain,
    ( e0 = e3
    | ~ spl15_26
    | ~ spl15_69 ),
    inference(superposition,[],[f619,f424]) ).

fof(f2278,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_69 ),
    inference(superposition,[],[f133,f619]) ).

fof(f2279,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_69 ),
    inference(superposition,[],[f134,f619]) ).

fof(f2281,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_69 ),
    inference(superposition,[],[f157,f619]) ).

fof(f2282,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_69 ),
    inference(superposition,[],[f158,f619]) ).

fof(f2283,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_69 ),
    inference(superposition,[],[f160,f619]) ).

fof(f2289,plain,
    ( ~ spl15_76
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f2283,f618,f668]) ).

fof(f2290,plain,
    ( ~ spl15_74
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f2282,f618,f654]) ).

fof(f2291,plain,
    ( ~ spl15_72
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f2278,f618,f641]) ).

fof(f2292,plain,
    ( $false
    | ~ spl15_26
    | ~ spl15_69 ),
    inference(forward_subsumption_resolution,[],[f2277,f184]) ).

fof(f2293,plain,
    ( ~ spl15_26
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f2292]) ).

fof(f2342,plain,
    ( e1 = e2
    | ~ spl15_84
    | ~ spl15_98 ),
    inference(superposition,[],[f829,f732]) ).

fof(f2343,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_98 ),
    inference(superposition,[],[f138,f829]) ).

fof(f2344,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_98 ),
    inference(superposition,[],[f169,f829]) ).

fof(f2345,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_98 ),
    inference(superposition,[],[f170,f829]) ).

fof(f2346,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_98 ),
    inference(superposition,[],[f172,f829]) ).

fof(f2354,plain,
    ( ~ spl15_118
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f2346,f827,f922]) ).

fof(f2355,plain,
    ( ~ spl15_99
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f2343,f827,f831]) ).

fof(f2356,plain,
    ( $false
    | ~ spl15_84
    | ~ spl15_98 ),
    inference(forward_subsumption_resolution,[],[f2342,f183]) ).

fof(f2357,plain,
    ( ~ spl15_84
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f2356]) ).

fof(f2359,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_99 ),
    inference(superposition,[],[f175,f833]) ).

fof(f2360,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_99 ),
    inference(superposition,[],[f176,f833]) ).

fof(f2361,plain,
    ( op(e0,e0) != e2
    | ~ spl15_99 ),
    inference(superposition,[],[f178,f833]) ).

fof(f2364,plain,
    ( ~ spl15_119
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f2360,f831,f927]) ).

fof(f2366,plain,
    ( e1 = e3
    | ~ spl15_72
    | ~ spl15_102 ),
    inference(superposition,[],[f847,f643]) ).

fof(f2367,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_102 ),
    inference(superposition,[],[f135,f847]) ).

fof(f2369,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_102 ),
    inference(superposition,[],[f163,f847]) ).

fof(f2370,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_102 ),
    inference(superposition,[],[f164,f847]) ).

fof(f2371,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_102 ),
    inference(superposition,[],[f166,f847]) ).

fof(f2381,plain,
    ( $false
    | ~ spl15_72
    | ~ spl15_102 ),
    inference(forward_subsumption_resolution,[],[f2366,f182]) ).

fof(f2382,plain,
    ( ~ spl15_72
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f2381]) ).

fof(f2398,plain,
    ( op(e0,e0) != e3
    | ~ spl15_117 ),
    inference(superposition,[],[f180,f919]) ).

fof(f2411,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_56
    | ~ spl15_76 ),
    inference(superposition,[],[f564,f670]) ).

fof(f2412,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_76
    | spl15_91 ),
    inference(forward_subsumption_resolution,[],[f2411,f784]) ).

fof(f2413,plain,
    ( ~ spl15_56
    | ~ spl15_76
    | spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2412]) ).

fof(f2449,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_64
    | ~ spl15_118 ),
    inference(superposition,[],[f598,f924]) ).

fof(f2450,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_65
    | ~ spl15_77 ),
    inference(superposition,[],[f603,f675]) ).

fof(f2451,plain,
    ( $false
    | ~ spl15_65
    | spl15_69
    | ~ spl15_77 ),
    inference(forward_subsumption_resolution,[],[f2450,f620]) ).

fof(f2452,plain,
    ( ~ spl15_65
    | spl15_69
    | ~ spl15_77 ),
    inference(avatar_contradiction_clause,[],[f2451]) ).

fof(f2454,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_8
    | ~ spl15_68 ),
    inference(superposition,[],[f615,f343]) ).

fof(f2458,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_66
    | ~ spl15_92 ),
    inference(superposition,[],[f607,f794]) ).

fof(f2459,plain,
    ( $false
    | ~ spl15_66
    | spl15_83
    | ~ spl15_92 ),
    inference(forward_subsumption_resolution,[],[f2458,f722]) ).

fof(f2460,plain,
    ( ~ spl15_66
    | spl15_83
    | ~ spl15_92 ),
    inference(avatar_contradiction_clause,[],[f2459]) ).

fof(f2462,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_67
    | ~ spl15_119 ),
    inference(superposition,[],[f611,f929]) ).

fof(f2463,plain,
    ( $false
    | ~ spl15_67
    | spl15_87
    | ~ spl15_119 ),
    inference(forward_subsumption_resolution,[],[f2462,f750]) ).

fof(f2464,plain,
    ( ~ spl15_67
    | spl15_87
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f2463]) ).

fof(f2467,plain,
    ( ~ spl15_13
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f1976,f902,f364]) ).

fof(f2468,plain,
    ( ~ spl15_93
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f1978,f902,f797]) ).

fof(f2471,plain,
    ( ~ spl15_13
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f1808,f907,f364]) ).

fof(f2519,plain,
    ( e3 != op(e3,e0)
    | spl15_65
    | ~ spl15_90 ),
    inference(superposition,[],[f602,f780]) ).

fof(f2544,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_64
    | ~ spl15_116 ),
    inference(superposition,[],[f598,f914]) ).

fof(f2547,plain,
    ( op(e0,e0) != e3
    | ~ spl15_116 ),
    inference(superposition,[],[f156,f914]) ).

fof(f2548,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_67
    | ~ spl15_117 ),
    inference(superposition,[],[f611,f919]) ).

fof(f2556,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_57
    | ~ spl15_72 ),
    inference(superposition,[],[f569,f643]) ).

fof(f2557,plain,
    ( $false
    | ~ spl15_57
    | spl15_69
    | ~ spl15_72 ),
    inference(forward_subsumption_resolution,[],[f2556,f620]) ).

fof(f2558,plain,
    ( ~ spl15_57
    | spl15_69
    | ~ spl15_72 ),
    inference(avatar_contradiction_clause,[],[f2557]) ).

fof(f2561,plain,
    ( ~ spl15_84
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2367,f845,f730]) ).

fof(f2562,plain,
    ( ~ spl15_10
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2369,f845,f351]) ).

fof(f2563,plain,
    ( ~ spl15_91
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2174,f854,f783]) ).

fof(f2614,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_28
    | ~ spl15_58 ),
    inference(superposition,[],[f573,f434]) ).

fof(f2616,plain,
    ( $false
    | ~ spl15_28
    | ~ spl15_58
    | spl15_79 ),
    inference(forward_subsumption_resolution,[],[f2614,f688]) ).

fof(f2617,plain,
    ( ~ spl15_28
    | ~ spl15_58
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f2616]) ).

fof(f2618,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_57
    | ~ spl15_102 ),
    inference(superposition,[],[f569,f847]) ).

fof(f2619,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_28
    | spl15_58 ),
    inference(superposition,[],[f572,f434]) ).

fof(f2621,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_61
    | ~ spl15_75 ),
    inference(superposition,[],[f586,f661]) ).

fof(f2622,plain,
    ( $false
    | ~ spl15_61
    | spl15_69
    | ~ spl15_75 ),
    inference(forward_subsumption_resolution,[],[f2621,f620]) ).

fof(f2623,plain,
    ( ~ spl15_61
    | spl15_69
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f2622]) ).

fof(f2624,plain,
    ( e3 != op(e3,e3)
    | spl15_61
    | ~ spl15_75 ),
    inference(superposition,[],[f585,f661]) ).

fof(f2625,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_62
    | ~ spl15_86 ),
    inference(superposition,[],[f590,f746]) ).

fof(f2626,plain,
    ( $false
    | ~ spl15_62
    | spl15_81
    | ~ spl15_86 ),
    inference(forward_subsumption_resolution,[],[f2625,f708]) ).

fof(f2627,plain,
    ( ~ spl15_62
    | spl15_81
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f2626]) ).

fof(f2628,plain,
    ( ~ spl15_112
    | spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f1920,f316,f312,f892]) ).

fof(f2629,plain,
    ( spl15_91
    | ~ spl15_64
    | ~ spl15_116 ),
    inference(avatar_split_clause,[],[f2544,f912,f596,f783]) ).

fof(f2630,plain,
    ( ~ spl15_82
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1419,f629,f716]) ).

fof(f2632,plain,
    ( ~ spl15_75
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f2124,f641,f659]) ).

fof(f2636,plain,
    ( ~ spl15_8
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f1303,f897,f342]) ).

fof(f2679,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_112 ),
    inference(superposition,[],[f153,f894]) ).

fof(f2680,plain,
    ( op(e0,e0) != e1
    | ~ spl15_112 ),
    inference(superposition,[],[f155,f894]) ).

fof(f2708,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_2
    | spl15_68 ),
    inference(superposition,[],[f614,f317]) ).

fof(f2710,plain,
    ( e3 != op(op(e0,e2),e0)
    | ~ spl15_2
    | spl15_3 ),
    inference(superposition,[],[f322,f317]) ).

fof(f2714,plain,
    ( ~ spl15_84
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1342,f405,f730]) ).

fof(f2715,plain,
    ( ~ spl15_100
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1344,f405,f836]) ).

fof(f2716,plain,
    ( spl15_75
    | ~ spl15_22
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f1348,f550,f405,f659]) ).

fof(f2717,plain,
    ( spl15_89
    | ~ spl15_59
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f2210,f902,f575,f769]) ).

fof(f2720,plain,
    ( ~ spl15_2
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f1617,f822,f316]) ).

fof(f2721,plain,
    ( ~ spl15_85
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1626,f836,f735]) ).

fof(f2722,plain,
    ( ~ spl15_88
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f2679,f892,f764]) ).

fof(f2723,plain,
    ( spl15_75
    | ~ spl15_57
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2618,f845,f567,f659]) ).

fof(f2724,plain,
    ( ~ spl15_75
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f2279,f618,f659]) ).

fof(f2725,plain,
    ( ~ spl15_71
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f2281,f618,f636]) ).

fof(f2726,plain,
    ( ~ spl15_5
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f2345,f827,f329]) ).

fof(f2728,plain,
    ( ~ spl15_112
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2371,f845,f892]) ).

fof(f2729,plain,
    ( ~ spl15_16
    | ~ spl15_116 ),
    inference(avatar_split_clause,[],[f2547,f912,f378]) ).

fof(f2730,plain,
    ( ~ spl15_16
    | ~ spl15_117 ),
    inference(avatar_split_clause,[],[f2398,f917,f378]) ).

fof(f2731,plain,
    ( spl15_85
    | ~ spl15_67
    | ~ spl15_117 ),
    inference(avatar_split_clause,[],[f2548,f917,f609,f735]) ).

fof(f2732,plain,
    ( spl15_101
    | ~ spl15_1
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f2196,f378,f312,f840]) ).

fof(f2734,plain,
    ( spl15_87
    | ~ spl15_5
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f2215,f592,f329,f749]) ).

fof(f2735,plain,
    ( spl15_83
    | ~ spl15_54
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2202,f854,f554,f721]) ).

fof(f2736,plain,
    ( ~ spl15_69
    | spl15_61
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f2624,f659,f584,f618]) ).

fof(f2746,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_16
    | spl15_68 ),
    inference(superposition,[],[f614,f379]) ).

fof(f2747,plain,
    ( ~ spl15_91
    | ~ spl15_16
    | spl15_68 ),
    inference(avatar_split_clause,[],[f2746,f613,f378,f783]) ).

fof(f2850,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_57
    | ~ spl15_106 ),
    inference(superposition,[],[f569,f865]) ).

fof(f2854,plain,
    ( spl15_73
    | ~ spl15_55
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1829,f735,f558,f648]) ).

fof(f2855,plain,
    ( spl15_85
    | ~ spl15_59
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f1909,f872,f575,f735]) ).

fof(f2856,plain,
    ( ~ spl15_74
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1481,f636,f654]) ).

fof(f2857,plain,
    ( ~ spl15_73
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1590,f735,f648]) ).

fof(f2859,plain,
    ( ~ spl15_87
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2370,f845,f749]) ).

fof(f2950,plain,
    ( e2 != op(e2,e1)
    | spl15_54
    | ~ spl15_100 ),
    inference(superposition,[],[f555,f838]) ).

fof(f2953,plain,
    ( e3 != op(e3,e1)
    | spl15_57
    | ~ spl15_102 ),
    inference(superposition,[],[f568,f847]) ).

fof(f2957,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_61
    | ~ spl15_107 ),
    inference(superposition,[],[f586,f869]) ).

fof(f2961,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_64
    | ~ spl15_88 ),
    inference(superposition,[],[f598,f766]) ).

fof(f2962,plain,
    ( $false
    | ~ spl15_64
    | ~ spl15_88
    | spl15_95 ),
    inference(forward_subsumption_resolution,[],[f2961,f812]) ).

fof(f2963,plain,
    ( ~ spl15_64
    | ~ spl15_88
    | spl15_95 ),
    inference(avatar_contradiction_clause,[],[f2962]) ).

fof(f2967,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_2
    | ~ spl15_68 ),
    inference(superposition,[],[f615,f317]) ).

fof(f2969,plain,
    ( op(e0,e0) != e3
    | spl15_3
    | ~ spl15_68 ),
    inference(superposition,[],[f322,f615]) ).

fof(f2971,plain,
    ( e3 != op(e3,e1)
    | spl15_6
    | ~ spl15_24 ),
    inference(superposition,[],[f335,f415]) ).

fof(f2983,plain,
    ( e2 != op(e3,e1)
    | spl15_19
    | ~ spl15_24 ),
    inference(superposition,[],[f393,f415]) ).

fof(f2992,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_24
    | spl15_34 ),
    inference(superposition,[],[f464,f415]) ).

fof(f2995,plain,
    ( ~ spl15_77
    | spl15_65
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f2519,f778,f601,f673]) ).

fof(f2996,plain,
    ( ~ spl15_107
    | ~ spl15_24
    | spl15_34 ),
    inference(avatar_split_clause,[],[f2992,f462,f414,f867]) ).

fof(f2997,plain,
    ( ~ spl15_75
    | spl15_57
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f2953,f845,f567,f659]) ).

fof(f2998,plain,
    ( ~ spl15_75
    | spl15_6
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2971,f414,f333,f659]) ).

fof(f3014,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_111 ),
    inference(superposition,[],[f177,f887]) ).

fof(f3026,plain,
    ( e0 != op(e1,e2)
    | spl15_4
    | ~ spl15_5 ),
    inference(superposition,[],[f327,f330]) ).

fof(f3030,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_62
    | ~ spl15_115 ),
    inference(superposition,[],[f590,f909]) ).

fof(f3034,plain,
    ( ~ spl15_93
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f1289,f373,f797]) ).

fof(f3037,plain,
    ( ~ spl15_111
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f1250,f881,f885]) ).

fof(f3038,plain,
    ( spl15_79
    | ~ spl15_62
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f2228,f881,f588,f687]) ).

fof(f3040,plain,
    ( spl15_93
    | ~ spl15_2
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f2967,f613,f316,f797]) ).

fof(f3041,plain,
    ( ~ spl15_93
    | ~ spl15_2
    | spl15_68 ),
    inference(avatar_split_clause,[],[f2708,f613,f316,f797]) ).

fof(f3123,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_2
    | spl15_3
    | ~ spl15_112 ),
    inference(superposition,[],[f2710,f894]) ).

fof(f3131,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_1
    | spl15_27 ),
    inference(superposition,[],[f430,f313]) ).

fof(f3143,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_60
    | ~ spl15_112 ),
    inference(superposition,[],[f581,f894]) ).

fof(f3144,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_66
    | ~ spl15_113 ),
    inference(superposition,[],[f607,f899]) ).

fof(f3148,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_67
    | ~ spl15_94 ),
    inference(superposition,[],[f611,f808]) ).

fof(f3149,plain,
    ( $false
    | ~ spl15_67
    | spl15_89
    | ~ spl15_94 ),
    inference(forward_subsumption_resolution,[],[f3148,f770]) ).

fof(f3150,plain,
    ( ~ spl15_67
    | spl15_89
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f3149]) ).

fof(f3151,plain,
    ( spl15_93
    | ~ spl15_56
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f1885,f822,f562,f797]) ).

fof(f3152,plain,
    ( spl15_83
    | ~ spl15_62
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f3030,f907,f588,f721]) ).

fof(f3162,plain,
    ( e3 != op(op(e2,e1),e2)
    | ~ spl15_10
    | spl15_11 ),
    inference(superposition,[],[f357,f352]) ).

fof(f3209,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_66
    | ~ spl15_83 ),
    inference(superposition,[],[f607,f723]) ).

fof(f3210,plain,
    ( $false
    | ~ spl15_66
    | spl15_70
    | ~ spl15_83 ),
    inference(forward_subsumption_resolution,[],[f3209,f631]) ).

fof(f3211,plain,
    ( ~ spl15_66
    | spl15_70
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f3210]) ).

fof(f3252,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_59
    | ~ spl15_80 ),
    inference(superposition,[],[f577,f704]) ).

fof(f3255,plain,
    ( $false
    | ~ spl15_59
    | ~ spl15_80
    | spl15_87 ),
    inference(forward_subsumption_resolution,[],[f3252,f750]) ).

fof(f3256,plain,
    ( ~ spl15_59
    | ~ spl15_80
    | spl15_87 ),
    inference(avatar_contradiction_clause,[],[f3255]) ).

fof(f3257,plain,
    ( ~ spl15_89
    | ~ spl15_1
    | spl15_27 ),
    inference(avatar_split_clause,[],[f3131,f428,f312,f769]) ).

fof(f3258,plain,
    ( ~ spl15_117
    | ~ spl15_2
    | spl15_3
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f3123,f892,f320,f316,f917]) ).

fof(f3259,plain,
    ( ~ spl15_114
    | spl15_4
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f3026,f329,f325,f902]) ).

fof(f3260,plain,
    ( ~ spl15_117
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f3014,f885,f917]) ).

fof(f3261,plain,
    ( ~ spl15_8
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f2680,f892,f342]) ).

fof(f3283,plain,
    ( e2 != op(e2,e2)
    | spl15_58
    | ~ spl15_70 ),
    inference(superposition,[],[f572,f630]) ).

fof(f3284,plain,
    ( $false
    | spl15_58
    | ~ spl15_70 ),
    inference(forward_subsumption_resolution,[],[f3283,f630]) ).

fof(f3285,plain,
    ( spl15_58
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f3284]) ).

fof(f3348,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_4
    | ~ spl15_5 ),
    inference(superposition,[],[f326,f330]) ).

fof(f3349,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_4
    | spl15_34 ),
    inference(superposition,[],[f464,f326]) ).

fof(f3350,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_4
    | spl15_19 ),
    inference(superposition,[],[f393,f326]) ).

fof(f3352,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_2
    | spl15_20 ),
    inference(superposition,[],[f398,f317]) ).

fof(f3365,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_65
    | ~ spl15_90 ),
    inference(superposition,[],[f603,f780]) ).

fof(f3366,plain,
    ( $false
    | ~ spl15_65
    | spl15_77
    | ~ spl15_90 ),
    inference(forward_subsumption_resolution,[],[f3365,f674]) ).

fof(f3367,plain,
    ( ~ spl15_65
    | spl15_77
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f3366]) ).

fof(f3370,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_67
    | ~ spl15_89 ),
    inference(superposition,[],[f611,f771]) ).

fof(f3371,plain,
    ( $false
    | ~ spl15_67
    | spl15_73
    | ~ spl15_89 ),
    inference(forward_subsumption_resolution,[],[f3370,f650]) ).

fof(f3372,plain,
    ( ~ spl15_67
    | spl15_73
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f3371]) ).

fof(f3373,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_66
    | ~ spl15_111 ),
    inference(superposition,[],[f607,f887]) ).

fof(f3376,plain,
    ( spl15_114
    | ~ spl15_4
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f3348,f329,f325,f902]) ).

fof(f3377,plain,
    ( ~ spl15_109
    | ~ spl15_2
    | spl15_20 ),
    inference(avatar_split_clause,[],[f3352,f396,f316,f876]) ).

fof(f3378,plain,
    ( ~ spl15_95
    | ~ spl15_4
    | spl15_34 ),
    inference(avatar_split_clause,[],[f3349,f462,f325,f811]) ).

fof(f3461,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_65
    | ~ spl15_103 ),
    inference(superposition,[],[f603,f851]) ).

fof(f3467,plain,
    ( e3 != op(e1,e1)
    | spl15_6
    | ~ spl15_63 ),
    inference(superposition,[],[f335,f594]) ).

fof(f3471,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_19
    | ~ spl15_63 ),
    inference(superposition,[],[f392,f594]) ).

fof(f3478,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_20
    | spl15_27 ),
    inference(superposition,[],[f430,f397]) ).

fof(f3479,plain,
    ( $false
    | ~ spl15_20
    | spl15_27
    | ~ spl15_103 ),
    inference(forward_subsumption_resolution,[],[f3478,f851]) ).

fof(f3480,plain,
    ( ~ spl15_20
    | spl15_27
    | ~ spl15_103 ),
    inference(avatar_contradiction_clause,[],[f3479]) ).

fof(f3481,plain,
    ( ~ spl15_16
    | spl15_3
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f2969,f613,f320,f378]) ).

fof(f3484,plain,
    ( spl15_5
    | ~ spl15_19
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3471,f592,f391,f329]) ).

fof(f3494,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_13
    | ~ spl15_63 ),
    inference(superposition,[],[f594,f365]) ).

fof(f3496,plain,
    ( spl15_89
    | ~ spl15_13
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3494,f592,f364,f769]) ).

fof(f3552,plain,
    ( e0 != op(e0,e2)
    | spl15_64
    | ~ spl15_118 ),
    inference(superposition,[],[f597,f924]) ).

fof(f3560,plain,
    ( e2 != op(e0,e3)
    | spl15_7
    | ~ spl15_16 ),
    inference(superposition,[],[f340,f379]) ).

fof(f3570,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_16
    | ~ spl15_68 ),
    inference(superposition,[],[f615,f379]) ).

fof(f3571,plain,
    ( e0 = e1
    | ~ spl15_1
    | ~ spl15_68 ),
    inference(superposition,[],[f615,f313]) ).

fof(f3578,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_68 ),
    inference(forward_subsumption_resolution,[],[f3571,f186]) ).

fof(f3579,plain,
    ( ~ spl15_1
    | ~ spl15_68 ),
    inference(avatar_contradiction_clause,[],[f3578]) ).

fof(f3582,plain,
    ( spl15_96
    | ~ spl15_12
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f1986,f387,f360,f818]) ).

fof(f3585,plain,
    ( spl15_75
    | ~ spl15_65
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f3461,f849,f601,f659]) ).

fof(f3587,plain,
    ( ~ spl15_18
    | spl15_6
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3467,f592,f333,f387]) ).

fof(f3588,plain,
    ( spl15_91
    | ~ spl15_16
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f3570,f613,f378,f783]) ).

fof(f3594,plain,
    ( e0 != op(e1,e3)
    | spl15_4
    | ~ spl15_18 ),
    inference(superposition,[],[f327,f388]) ).

fof(f3598,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_18
    | ~ spl15_63 ),
    inference(superposition,[],[f594,f388]) ).

fof(f3649,plain,
    ( e1 != op(e1,e2)
    | spl15_55
    | ~ spl15_96 ),
    inference(superposition,[],[f559,f820]) ).

fof(f3707,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_61
    | ~ spl15_98 ),
    inference(superposition,[],[f586,f829]) ).

fof(f3708,plain,
    ( $false
    | ~ spl15_61
    | spl15_72
    | ~ spl15_98 ),
    inference(forward_subsumption_resolution,[],[f3707,f642]) ).

fof(f3709,plain,
    ( ~ spl15_61
    | spl15_72
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f3708]) ).

fof(f3712,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_18
    | spl15_63 ),
    inference(superposition,[],[f593,f388]) ).

fof(f3725,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_6
    | ~ spl15_12 ),
    inference(superposition,[],[f334,f361]) ).

fof(f3726,plain,
    ( $false
    | ~ spl15_6
    | ~ spl15_12
    | spl15_110 ),
    inference(forward_subsumption_resolution,[],[f3725,f882]) ).

fof(f3727,plain,
    ( ~ spl15_6
    | ~ spl15_12
    | spl15_110 ),
    inference(avatar_contradiction_clause,[],[f3726]) ).

fof(f3729,plain,
    ( e3 != op(e2,e1)
    | spl15_6
    | ~ spl15_12 ),
    inference(superposition,[],[f335,f361]) ).

fof(f3731,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_12
    | spl15_19 ),
    inference(superposition,[],[f393,f361]) ).

fof(f3736,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_12
    | spl15_34 ),
    inference(superposition,[],[f464,f361]) ).

fof(f3739,plain,
    ( spl15_79
    | ~ spl15_28
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f2614,f571,f433,f687]) ).

fof(f3740,plain,
    ( spl15_93
    | ~ spl15_64
    | ~ spl15_118 ),
    inference(avatar_split_clause,[],[f2449,f922,f596,f797]) ).

fof(f3741,plain,
    ( ~ spl15_83
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f2359,f831,f721]) ).

fof(f3742,plain,
    ( ~ spl15_105
    | spl15_4
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f3594,f387,f325,f858]) ).

fof(f3743,plain,
    ( ~ spl15_118
    | ~ spl15_4
    | spl15_19 ),
    inference(avatar_split_clause,[],[f3350,f391,f325,f922]) ).

fof(f3744,plain,
    ( spl15_95
    | ~ spl15_8
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f2454,f613,f342,f811]) ).

fof(f3745,plain,
    ( ~ spl15_101
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1346,f405,f840]) ).

fof(f3746,plain,
    ( spl15_77
    | ~ spl15_57
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f2850,f863,f567,f673]) ).

fof(f3749,plain,
    ( ~ spl15_92
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2172,f854,f792]) ).

fof(f3750,plain,
    ( ~ spl15_105
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2173,f854,f858]) ).

fof(f3751,plain,
    ( ~ spl15_93
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1790,f863,f797]) ).

fof(f3752,plain,
    ( ~ spl15_18
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f1652,f872,f387]) ).

fof(f3755,plain,
    ( e2 != op(e0,e1)
    | spl15_7
    | ~ spl15_8 ),
    inference(superposition,[],[f340,f343]) ).

fof(f3758,plain,
    ( ~ spl15_118
    | spl15_7
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f3755,f342,f338,f922]) ).

fof(f3773,plain,
    ( e2 != op(op(e3,e1),e3)
    | ~ spl15_22
    | spl15_23 ),
    inference(superposition,[],[f411,f406]) ).

fof(f3780,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_73 ),
    inference(superposition,[],[f150,f649]) ).

fof(f3781,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_73 ),
    inference(superposition,[],[f174,f649]) ).

fof(f3788,plain,
    ( ~ spl15_88
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f3781,f648,f764]) ).

fof(f3789,plain,
    ( ~ spl15_89
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f3780,f648,f769]) ).

fof(f3869,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_4
    | ~ spl15_73 ),
    inference(superposition,[],[f326,f649]) ).

fof(f3870,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_4
    | spl15_6 ),
    inference(superposition,[],[f335,f326]) ).

fof(f3873,plain,
    ( $false
    | ~ spl15_4
    | spl15_13
    | ~ spl15_73 ),
    inference(forward_subsumption_resolution,[],[f3869,f366]) ).

fof(f3874,plain,
    ( ~ spl15_4
    | spl15_13
    | ~ spl15_73 ),
    inference(avatar_contradiction_clause,[],[f3873]) ).

fof(f3875,plain,
    ( e0 != op(e1,e1)
    | spl15_4
    | ~ spl15_73 ),
    inference(superposition,[],[f327,f649]) ).

fof(f3876,plain,
    ( e0 != op(e2,e1)
    | spl15_9
    | ~ spl15_10 ),
    inference(superposition,[],[f349,f352]) ).

fof(f3880,plain,
    ( e1 != op(e3,e2)
    | spl15_29
    | ~ spl15_32 ),
    inference(superposition,[],[f439,f453]) ).

fof(f3914,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_34
    | ~ spl15_63 ),
    inference(superposition,[],[f463,f594]) ).

fof(f3923,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_32
    | spl15_35 ),
    inference(superposition,[],[f469,f453]) ).

fof(f3924,plain,
    ( $false
    | ~ spl15_32
    | spl15_35
    | ~ spl15_106 ),
    inference(forward_subsumption_resolution,[],[f3923,f865]) ).

fof(f3925,plain,
    ( ~ spl15_32
    | spl15_35
    | ~ spl15_106 ),
    inference(avatar_contradiction_clause,[],[f3924]) ).

fof(f3930,plain,
    ( spl15_79
    | ~ spl15_66
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f3373,f885,f605,f687]) ).

fof(f3932,plain,
    ( ~ spl15_115
    | spl15_9
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f3876,f351,f347,f907]) ).

fof(f4003,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_10
    | spl15_11
    | ~ spl15_115 ),
    inference(superposition,[],[f3162,f909]) ).

fof(f4004,plain,
    ( $false
    | ~ spl15_10
    | spl15_11
    | ~ spl15_109
    | ~ spl15_115 ),
    inference(forward_subsumption_resolution,[],[f4003,f878]) ).

fof(f4005,plain,
    ( ~ spl15_10
    | spl15_11
    | ~ spl15_109
    | ~ spl15_115 ),
    inference(avatar_contradiction_clause,[],[f4004]) ).

fof(f4006,plain,
    ( ~ spl15_115
    | ~ spl15_12
    | spl15_34 ),
    inference(avatar_split_clause,[],[f3736,f462,f360,f907]) ).

fof(f4012,plain,
    ( ~ spl15_81
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1416,f629,f707]) ).

fof(f4013,plain,
    ( ~ spl15_118
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f1895,f707,f922]) ).

fof(f4014,plain,
    ( ~ spl15_87
    | spl15_55
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f3649,f818,f558,f749]) ).

fof(f4015,plain,
    ( ~ spl15_2
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f2361,f831,f316]) ).

fof(f4016,plain,
    ( ~ spl15_79
    | ~ spl15_28
    | spl15_58 ),
    inference(avatar_split_clause,[],[f2619,f571,f433,f687]) ).

fof(f4017,plain,
    ( spl15_95
    | ~ spl15_60
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f3143,f892,f579,f811]) ).

fof(f4018,plain,
    ( spl15_81
    | ~ spl15_66
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f3144,f897,f605,f707]) ).

fof(f4019,plain,
    ( ~ spl15_85
    | ~ spl15_18
    | spl15_63 ),
    inference(avatar_split_clause,[],[f3712,f592,f387,f735]) ).

fof(f4020,plain,
    ( ~ spl15_15
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2170,f854,f373]) ).

fof(f4021,plain,
    ( ~ spl15_15
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f1788,f863,f373]) ).

fof(f4022,plain,
    ( spl15_85
    | ~ spl15_18
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3598,f592,f387,f735]) ).

fof(f4028,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_18 ),
    inference(superposition,[],[f150,f388]) ).

fof(f4029,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_18 ),
    inference(superposition,[],[f174,f388]) ).

fof(f4134,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_7
    | ~ spl15_16 ),
    inference(superposition,[],[f339,f379]) ).

fof(f4139,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_9
    | spl15_11 ),
    inference(superposition,[],[f357,f348]) ).

fof(f4140,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_9
    | spl15_29 ),
    inference(superposition,[],[f439,f348]) ).

fof(f4141,plain,
    ( $false
    | ~ spl15_9
    | spl15_29
    | ~ spl15_112 ),
    inference(forward_subsumption_resolution,[],[f4140,f894]) ).

fof(f4142,plain,
    ( ~ spl15_9
    | spl15_29
    | ~ spl15_112 ),
    inference(avatar_contradiction_clause,[],[f4141]) ).

fof(f4143,plain,
    ( e0 != op(e2,e3)
    | spl15_9
    | ~ spl15_28 ),
    inference(superposition,[],[f349,f434]) ).

fof(f4152,plain,
    ( ~ spl15_104
    | spl15_9
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f4143,f433,f347,f854]) ).

fof(f4174,plain,
    ( e1 != op(e1,e0)
    | spl15_55
    | ~ spl15_105 ),
    inference(superposition,[],[f559,f860]) ).

fof(f4197,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_62
    | ~ spl15_81 ),
    inference(superposition,[],[f590,f709]) ).

fof(f4198,plain,
    ( $false
    | ~ spl15_62
    | spl15_70
    | ~ spl15_81 ),
    inference(forward_subsumption_resolution,[],[f4197,f631]) ).

fof(f4199,plain,
    ( ~ spl15_62
    | spl15_70
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f4198]) ).

fof(f4200,plain,
    ( ~ spl15_97
    | spl15_7
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f3560,f378,f338,f822]) ).

fof(f4203,plain,
    ( $false
    | ~ spl15_61
    | spl15_77
    | ~ spl15_107 ),
    inference(forward_subsumption_resolution,[],[f2957,f674]) ).

fof(f4204,plain,
    ( ~ spl15_61
    | spl15_77
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f4203]) ).

fof(f4205,plain,
    ( spl15_97
    | ~ spl15_7
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f4134,f378,f338,f822]) ).

fof(f4206,plain,
    ( spl15_13
    | ~ spl15_34
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3914,f592,f462,f364]) ).

fof(f4290,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_65
    | ~ spl15_99 ),
    inference(superposition,[],[f603,f833]) ).

fof(f4293,plain,
    ( ~ spl15_13
    | spl15_4
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f3875,f648,f325,f364]) ).

fof(f4295,plain,
    ( ~ spl15_89
    | spl15_55
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f4174,f858,f558,f769]) ).

fof(f4296,plain,
    ( spl15_72
    | ~ spl15_65
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f4290,f831,f601,f641]) ).

fof(f4401,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_29
    | ~ spl15_58 ),
    inference(superposition,[],[f438,f573]) ).

fof(f4408,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_22
    | spl15_23
    | ~ spl15_107 ),
    inference(superposition,[],[f3773,f869]) ).

fof(f4409,plain,
    ( $false
    | ~ spl15_22
    | spl15_23
    | ~ spl15_97
    | ~ spl15_107 ),
    inference(forward_subsumption_resolution,[],[f4408,f824]) ).

fof(f4410,plain,
    ( ~ spl15_22
    | spl15_23
    | ~ spl15_97
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f4409]) ).

fof(f4411,plain,
    ( e0 != op(e3,e1)
    | spl15_21
    | ~ spl15_22 ),
    inference(superposition,[],[f403,f406]) ).

fof(f4412,plain,
    ( $false
    | spl15_21
    | ~ spl15_22
    | ~ spl15_107 ),
    inference(forward_subsumption_resolution,[],[f4411,f869]) ).

fof(f4413,plain,
    ( spl15_21
    | ~ spl15_22
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f4412]) ).

fof(f4418,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_116 ),
    inference(forward_subsumption_resolution,[],[f1925,f914]) ).

fof(f4419,plain,
    ( ~ spl15_18
    | ~ spl15_116 ),
    inference(avatar_contradiction_clause,[],[f4418]) ).

fof(f4424,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_117 ),
    inference(forward_subsumption_resolution,[],[f4028,f919]) ).

fof(f4425,plain,
    ( ~ spl15_18
    | ~ spl15_117 ),
    inference(avatar_contradiction_clause,[],[f4424]) ).

fof(f4426,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_116 ),
    inference(forward_subsumption_resolution,[],[f4029,f914]) ).

fof(f4427,plain,
    ( ~ spl15_18
    | ~ spl15_116 ),
    inference(avatar_contradiction_clause,[],[f4426]) ).

fof(f4429,plain,
    ( spl15_52
    | ~ spl15_60
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f1913,f797,f579,f543]) ).

fof(f4431,plain,
    ( ~ spl15_52
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f1505,f806,f543]) ).

fof(f4432,plain,
    ( ~ spl15_81
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f2344,f827,f707]) ).

fof(f4434,plain,
    ( ~ spl15_52
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f1494,f797,f543]) ).

fof(f4435,plain,
    ( ~ spl15_92
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f1249,f373,f792]) ).

fof(f4436,plain,
    ( ~ spl15_98
    | spl15_19
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f2983,f414,f391,f827]) ).

fof(f4437,plain,
    ( spl15_87
    | ~ spl15_55
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1990,f818,f558,f749]) ).

fof(f4438,plain,
    ( spl15_10
    | ~ spl15_29
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f4401,f571,f437,f351]) ).

fof(f4442,plain,
    ( ~ spl15_102
    | spl15_29
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f3880,f452,f437,f845]) ).

fof(f4445,plain,
    ( spl15_81
    | ~ spl15_54
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f2115,f836,f554,f707]) ).

fof(f4448,plain,
    ( ~ spl15_93
    | spl15_56
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f1882,f822,f562,f797]) ).

fof(f4449,plain,
    ( ~ spl15_109
    | ~ spl15_9
    | spl15_11 ),
    inference(avatar_split_clause,[],[f4139,f355,f347,f876]) ).

fof(f4450,plain,
    ( ~ spl15_110
    | spl15_6
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f3729,f360,f333,f881]) ).

fof(f4451,plain,
    ( ~ spl15_81
    | ~ spl15_12
    | spl15_19 ),
    inference(avatar_split_clause,[],[f3731,f391,f360,f707]) ).

fof(f4454,plain,
    ( ~ spl15_93
    | spl15_64
    | ~ spl15_118 ),
    inference(avatar_split_clause,[],[f3552,f922,f596,f797]) ).

fof(f4455,plain,
    ( ~ spl15_116
    | ~ spl15_4
    | spl15_6 ),
    inference(avatar_split_clause,[],[f3870,f333,f325,f912]) ).

fof(f4457,plain,
    ( spl15_52
    | ~ spl15_56
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1822,f783,f562,f543]) ).

fof(f4458,plain,
    ( ~ spl15_52
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1747,f778,f543]) ).

fof(f4459,plain,
    ( ~ spl15_52
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1754,f783,f543]) ).

fof(f4460,plain,
    ( ~ spl15_81
    | spl15_54
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f2950,f836,f554,f707]) ).

cnf(s1,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s2,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | ~ spl15_6 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s3,plain,
    ( ~ spl15_3
    | ~ spl15_7
    | ~ spl15_8 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s4,plain,
    ( ~ spl15_9
    | ~ spl15_10
    | ~ spl15_11 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s5,plain,
    ( ~ spl15_6
    | ~ spl15_12
    | ~ spl15_13 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s8,plain,
    ( ~ spl15_4
    | ~ spl15_18
    | ~ spl15_19 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s10,plain,
    ( ~ spl15_21
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s11,plain,
    ( ~ spl15_13
    | ~ spl15_19
    | ~ spl15_24 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s14,plain,
    ( ~ spl15_9
    | ~ spl15_28
    | ~ spl15_29 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s15,plain,
    ( ~ spl15_2
    | ~ spl15_20
    | ~ spl15_27 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s17,plain,
    ( ~ spl15_15
    | ~ spl15_29
    | ~ spl15_32 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s19,plain,
    ( ~ spl15_12
    | ~ spl15_18
    | ~ spl15_34 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s21,plain,
    ( ~ spl15_5
    | ~ spl15_24
    | ~ spl15_34 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s23,plain,
    ( ~ spl15_10
    | ~ spl15_32
    | ~ spl15_35 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s25,plain,
    ( ~ spl15_26
    | spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s26,plain,
    ( ~ spl15_15
    | spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s27,plain,
    ( ~ spl15_13
    | spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s28,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s30,plain,
    ( spl15_37
    | spl15_38
    | spl15_39
    | spl15_40
    | spl15_41
    | spl15_42
    | spl15_43
    | spl15_44
    | spl15_45
    | spl15_46
    | spl15_47
    | spl15_48
    | spl15_49
    | spl15_50
    | spl15_51
    | spl15_52 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s31,plain,
    ( spl15_53
    | spl15_54
    | spl15_55
    | spl15_56 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s32,plain,
    ( spl15_57
    | spl15_58
    | spl15_59
    | spl15_60 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s33,plain,
    ( spl15_61
    | spl15_62
    | spl15_63
    | spl15_64 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s34,plain,
    ( spl15_65
    | spl15_66
    | spl15_67
    | spl15_68 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s35,plain,
    ( ~ spl15_37
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s40,plain,
    ( ~ spl15_37
    | spl15_69 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s41,plain,
    ( ~ spl15_30
    | ~ spl15_38 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s42,plain,
    ( ~ spl15_38
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s43,plain,
    ( ~ spl15_5
    | ~ spl15_38 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s44,plain,
    ( ~ spl15_2
    | ~ spl15_38 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s45,plain,
    ( ~ spl15_38
    | spl15_71 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s46,plain,
    ( ~ spl15_38
    | spl15_72 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s47,plain,
    ( ~ spl15_22
    | ~ spl15_39 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s48,plain,
    ( ~ spl15_10
    | ~ spl15_39 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s49,plain,
    ( ~ spl15_39
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s50,plain,
    ( ~ spl15_8
    | ~ spl15_39 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s51,plain,
    ( ~ spl15_39
    | spl15_74 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s52,plain,
    ( ~ spl15_39
    | spl15_75 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s53,plain,
    ( ~ spl15_26
    | ~ spl15_40 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s54,plain,
    ( ~ spl15_15
    | ~ spl15_40 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s55,plain,
    ( ~ spl15_13
    | ~ spl15_40 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s56,plain,
    ( ~ spl15_40
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s57,plain,
    ( ~ spl15_40
    | spl15_76 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s58,plain,
    ( ~ spl15_40
    | spl15_77 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s59,plain,
    ( ~ spl15_41
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s60,plain,
    ( ~ spl15_28
    | ~ spl15_41 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s61,plain,
    ( ~ spl15_18
    | ~ spl15_41 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s62,plain,
    ( ~ spl15_16
    | ~ spl15_41 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s63,plain,
    ( ~ spl15_41
    | spl15_78 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s64,plain,
    ( ~ spl15_41
    | spl15_79 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s66,plain,
    ( ~ spl15_42
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s70,plain,
    ( ~ spl15_42
    | spl15_70 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s71,plain,
    ( ~ spl15_22
    | ~ spl15_43 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s72,plain,
    ( ~ spl15_10
    | ~ spl15_43 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s73,plain,
    ( ~ spl15_43
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s74,plain,
    ( ~ spl15_8
    | ~ spl15_43 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s75,plain,
    ( ~ spl15_43
    | spl15_80 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s76,plain,
    ( ~ spl15_43
    | spl15_81 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s77,plain,
    ( ~ spl15_26
    | ~ spl15_44 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s78,plain,
    ( ~ spl15_15
    | ~ spl15_44 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s79,plain,
    ( ~ spl15_13
    | ~ spl15_44 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s80,plain,
    ( ~ spl15_44
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s81,plain,
    ( ~ spl15_44
    | spl15_82 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s82,plain,
    ( ~ spl15_44
    | spl15_83 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s83,plain,
    ( ~ spl15_45
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s84,plain,
    ( ~ spl15_28
    | ~ spl15_45 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s85,plain,
    ( ~ spl15_18
    | ~ spl15_45 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s86,plain,
    ( ~ spl15_16
    | ~ spl15_45 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s87,plain,
    ( ~ spl15_45
    | spl15_84 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s88,plain,
    ( ~ spl15_45
    | spl15_85 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s89,plain,
    ( ~ spl15_30
    | ~ spl15_46 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s90,plain,
    ( ~ spl15_46
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s91,plain,
    ( ~ spl15_5
    | ~ spl15_46 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s92,plain,
    ( ~ spl15_2
    | ~ spl15_46 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s93,plain,
    ( ~ spl15_46
    | spl15_86 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s94,plain,
    ( ~ spl15_46
    | spl15_87 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s96,plain,
    ( ~ spl15_10
    | ~ spl15_47 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s97,plain,
    ( ~ spl15_47
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s98,plain,
    ( ~ spl15_8
    | ~ spl15_47 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s100,plain,
    ( ~ spl15_47
    | spl15_73 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s103,plain,
    ( ~ spl15_13
    | ~ spl15_48 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s104,plain,
    ( ~ spl15_48
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s105,plain,
    ( ~ spl15_48
    | spl15_88 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s106,plain,
    ( ~ spl15_48
    | spl15_89 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s107,plain,
    ( ~ spl15_49
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s108,plain,
    ( ~ spl15_28
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s109,plain,
    ( ~ spl15_18
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s110,plain,
    ( ~ spl15_16
    | ~ spl15_49 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s111,plain,
    ( ~ spl15_49
    | spl15_90 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s112,plain,
    ( ~ spl15_49
    | spl15_91 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s113,plain,
    ( ~ spl15_30
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s114,plain,
    ( ~ spl15_50
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s115,plain,
    ( ~ spl15_5
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s116,plain,
    ( ~ spl15_2
    | ~ spl15_50 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s117,plain,
    ( ~ spl15_50
    | spl15_92 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s118,plain,
    ( ~ spl15_50
    | spl15_93 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s119,plain,
    ( ~ spl15_22
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s120,plain,
    ( ~ spl15_10
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s121,plain,
    ( ~ spl15_51
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s122,plain,
    ( ~ spl15_8
    | ~ spl15_51 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s123,plain,
    ( ~ spl15_51
    | spl15_94 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s124,plain,
    ( ~ spl15_51
    | spl15_95 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s125,plain,
    ( spl15_69
    | spl15_71
    | spl15_74
    | spl15_76 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s126,plain,
    ( spl15_69
    | spl15_72
    | spl15_75
    | spl15_77 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s127,plain,
    ( spl15_30
    | spl15_79
    | spl15_96
    | spl15_97 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s128,plain,
    ( spl15_30
    | spl15_78
    | spl15_98
    | spl15_99 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s129,plain,
    ( spl15_22
    | spl15_85
    | spl15_100
    | spl15_101 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s130,plain,
    ( spl15_22
    | spl15_84
    | spl15_102
    | spl15_103 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s131,plain,
    ( spl15_26
    | spl15_91
    | spl15_104
    | spl15_105 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s132,plain,
    ( spl15_26
    | spl15_90
    | spl15_106
    | spl15_107 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s133,plain,
    ( spl15_28
    | spl15_72
    | spl15_108
    | spl15_109 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s134,plain,
    ( spl15_28
    | spl15_71
    | spl15_110
    | spl15_111 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s135,plain,
    ( spl15_70
    | spl15_78
    | spl15_80
    | spl15_82 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s136,plain,
    ( spl15_70
    | spl15_79
    | spl15_81
    | spl15_83 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s137,plain,
    ( spl15_10
    | spl15_87
    | spl15_102
    | spl15_112 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s138,plain,
    ( spl15_10
    | spl15_86
    | spl15_100
    | spl15_113 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s139,plain,
    ( spl15_15
    | spl15_93
    | spl15_106
    | spl15_114 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s140,plain,
    ( spl15_15
    | spl15_92
    | spl15_104
    | spl15_115 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s141,plain,
    ( spl15_18
    | spl15_75
    | spl15_110
    | spl15_116 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s142,plain,
    ( spl15_18
    | spl15_74
    | spl15_108
    | spl15_117 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s143,plain,
    ( spl15_5
    | spl15_81
    | spl15_98
    | spl15_118 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s144,plain,
    ( spl15_5
    | spl15_80
    | spl15_96
    | spl15_119 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s145,plain,
    ( spl15_73
    | spl15_84
    | spl15_86
    | spl15_88 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s146,plain,
    ( spl15_73
    | spl15_85
    | spl15_87
    | spl15_89 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s147,plain,
    ( spl15_13
    | spl15_95
    | spl15_107
    | spl15_115 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s148,plain,
    ( spl15_13
    | spl15_94
    | spl15_105
    | spl15_114 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s149,plain,
    ( spl15_16
    | spl15_77
    | spl15_111
    | spl15_117 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s150,plain,
    ( spl15_16
    | spl15_76
    | spl15_109
    | spl15_116 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s151,plain,
    ( spl15_2
    | spl15_83
    | spl15_99
    | spl15_119 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s152,plain,
    ( spl15_2
    | spl15_82
    | spl15_97
    | spl15_118 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s153,plain,
    ( spl15_8
    | spl15_89
    | spl15_103
    | spl15_113 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s154,plain,
    ( spl15_8
    | spl15_88
    | spl15_101
    | spl15_112 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s155,plain,
    ( spl15_52
    | spl15_90
    | spl15_92
    | spl15_94 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s156,plain,
    ( spl15_52
    | spl15_91
    | spl15_93
    | spl15_95 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s157,plain,
    ( spl15_22
    | spl15_26
    | spl15_30
    | spl15_69 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s158,plain,
    ( spl15_72
    | spl15_78
    | spl15_102
    | spl15_106 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s159,plain,
    ( spl15_75
    | spl15_84
    | spl15_98
    | spl15_107 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s160,plain,
    ( spl15_77
    | spl15_90
    | spl15_99
    | spl15_103 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s161,plain,
    ( spl15_71
    | spl15_79
    | spl15_100
    | spl15_104 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s162,plain,
    ( spl15_10
    | spl15_15
    | spl15_28
    | spl15_70 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s163,plain,
    ( spl15_81
    | spl15_86
    | spl15_110
    | spl15_115 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s164,plain,
    ( spl15_83
    | spl15_92
    | spl15_111
    | spl15_113 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s165,plain,
    ( spl15_74
    | spl15_85
    | spl15_96
    | spl15_105 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s166,plain,
    ( spl15_80
    | spl15_87
    | spl15_108
    | spl15_114 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s167,plain,
    ( spl15_5
    | spl15_13
    | spl15_18
    | spl15_73 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s168,plain,
    ( spl15_89
    | spl15_94
    | spl15_117
    | spl15_119 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s169,plain,
    ( spl15_76
    | spl15_91
    | spl15_97
    | spl15_101 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s170,plain,
    ( spl15_82
    | spl15_93
    | spl15_109
    | spl15_112 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s171,plain,
    ( spl15_88
    | spl15_95
    | spl15_116
    | spl15_118 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s172,plain,
    ( spl15_2
    | spl15_8
    | spl15_16
    | spl15_52 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s174,plain,
    ( ~ spl15_10
    | ~ spl15_15 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s176,plain,
    ( ~ spl15_22
    | ~ spl15_26 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s178,plain,
    ( ~ spl15_72
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s179,plain,
    ( ~ spl15_71
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s180,plain,
    ( ~ spl15_71
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s182,plain,
    ( ~ spl15_74
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s183,plain,
    ( ~ spl15_81
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s184,plain,
    ( ~ spl15_81
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s186,plain,
    ( ~ spl15_5
    | ~ spl15_13 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s188,plain,
    ( ~ spl15_78
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s190,plain,
    ( ~ spl15_79
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f1032]) ).

cnf(s192,plain,
    ( ~ spl15_75
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s194,plain,
    ( ~ spl15_78
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s196,plain,
    ( ~ spl15_80
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s198,plain,
    ( ~ spl15_82
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s200,plain,
    ( ~ spl15_86
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s202,plain,
    ( ~ spl15_83
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s204,plain,
    ( ~ spl15_83
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s206,plain,
    ( ~ spl15_82
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s207,plain,
    ( ~ spl15_83
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s208,plain,
    ( ~ spl15_83
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s210,plain,
    ( ~ spl15_108
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s212,plain,
    ( ~ spl15_82
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s215,plain,
    ( ~ spl15_79
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s216,plain,
    ( ~ spl15_79
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1147]) ).

cnf(s218,plain,
    ( ~ spl15_93
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s220,plain,
    ( ~ spl15_87
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f1164]) ).

cnf(s222,plain,
    ( ~ spl15_89
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s224,plain,
    ( ~ spl15_88
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s226,plain,
    ( ~ spl15_2
    | ~ spl15_52 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s230,plain,
    ( ~ spl15_76
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s233,plain,
    ( ~ spl15_26
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f1229]) ).

cnf(s234,plain,
    ( ~ spl15_78
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f1232]) ).

cnf(s235,plain,
    ( ~ spl15_26
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s236,plain,
    ( ~ spl15_78
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f1238]) ).

cnf(s237,plain,
    ( ~ spl15_84
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s238,plain,
    ( ~ spl15_70
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f1244]) ).

cnf(s239,plain,
    ( ~ spl15_73
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s240,plain,
    ( ~ spl15_13
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s241,plain,
    ( ~ spl15_101
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1262]) ).

cnf(s242,plain,
    ( ~ spl15_109
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s243,plain,
    ( ~ spl15_26
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s244,plain,
    ( ~ spl15_79
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f1276]) ).

cnf(s245,plain,
    ( ~ spl15_26
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f1279]) ).

cnf(s246,plain,
    ( ~ spl15_79
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f1282]) ).

cnf(s247,plain,
    ( ~ spl15_13
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s249,plain,
    ( ~ spl15_57
    | spl15_72
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s250,plain,
    ( ~ spl15_59
    | spl15_73
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s252,plain,
    ( ~ spl15_60
    | spl15_91
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s254,plain,
    ( ~ spl15_30
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s264,plain,
    ( ~ spl15_26
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s266,plain,
    ( ~ spl15_5
    | ~ spl15_12
    | spl15_80 ),
    inference(sat_conversion,[],[f1379]) ).

cnf(s268,plain,
    ( ~ spl15_5
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1383]) ).

cnf(s269,plain,
    ( ~ spl15_18
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s270,plain,
    ( ~ spl15_18
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1385]) ).

cnf(s271,plain,
    ( ~ spl15_5
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1386]) ).

cnf(s272,plain,
    ( ~ spl15_5
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f1387]) ).

cnf(s279,plain,
    ( ~ spl15_80
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s281,plain,
    ( ~ spl15_80
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f1414]) ).

cnf(s283,plain,
    ( ~ spl15_70
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f1426]) ).

cnf(s284,plain,
    ( ~ spl15_15
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s285,plain,
    ( ~ spl15_92
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1438]) ).

cnf(s286,plain,
    ( ~ spl15_92
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s287,plain,
    ( ~ spl15_92
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1441]) ).

cnf(s288,plain,
    ( ~ spl15_87
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f1442]) ).

cnf(s289,plain,
    ( ~ spl15_88
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1443]) ).

cnf(s290,plain,
    ( ~ spl15_74
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1444]) ).

cnf(s291,plain,
    ( ~ spl15_77
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s292,plain,
    ( ~ spl15_74
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f1446]) ).

cnf(s293,plain,
    ( ~ spl15_12
    | ~ spl15_13
    | spl15_119 ),
    inference(sat_conversion,[],[f1447]) ).

cnf(s296,plain,
    ( ~ spl15_13
    | spl15_24
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1448]) ).

cnf(s298,plain,
    ( ~ spl15_16
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s299,plain,
    ( ~ spl15_16
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f1452]) ).

cnf(s300,plain,
    ( ~ spl15_2
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1453]) ).

cnf(s301,plain,
    ( ~ spl15_52
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1454]) ).

cnf(s306,plain,
    ( ~ spl15_26
    | ~ spl15_53
    | spl15_77 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s310,plain,
    ( ~ spl15_75
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1470]) ).

cnf(s311,plain,
    ( ~ spl15_75
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f1471]) ).

cnf(s312,plain,
    ( ~ spl15_76
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1477]) ).

cnf(s313,plain,
    ( ~ spl15_71
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s314,plain,
    ( ~ spl15_71
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s315,plain,
    ( ~ spl15_71
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s316,plain,
    ( ~ spl15_89
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1488]) ).

cnf(s318,plain,
    ( ~ spl15_93
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s319,plain,
    ( ~ spl15_93
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s321,plain,
    ( ~ spl15_88
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1513]) ).

cnf(s323,plain,
    ( ~ spl15_86
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s324,plain,
    ( ~ spl15_86
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s325,plain,
    ( ~ spl15_70
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s326,plain,
    ( ~ spl15_15
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1521]) ).

cnf(s327,plain,
    ( ~ spl15_15
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f1522]) ).

cnf(s328,plain,
    ( ~ spl15_15
    | spl15_32
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1523]) ).

cnf(s329,plain,
    ( ~ spl15_15
    | ~ spl15_58
    | spl15_83 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s332,plain,
    ( ~ spl15_70
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s333,plain,
    ( ~ spl15_5
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f1526]) ).

cnf(s337,plain,
    ( ~ spl15_78
    | ~ spl15_80 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s338,plain,
    ( ~ spl15_18
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s345,plain,
    ( ~ spl15_28
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f1532]) ).

cnf(s346,plain,
    ( ~ spl15_76
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s350,plain,
    ( ~ spl15_28
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1548]) ).

cnf(s351,plain,
    ( ~ spl15_28
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1549]) ).

cnf(s352,plain,
    ( ~ spl15_28
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s357,plain,
    ( ~ spl15_83
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s359,plain,
    ( ~ spl15_16
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s361,plain,
    ( ~ spl15_2
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f1569]) ).

cnf(s369,plain,
    ( ~ spl15_5
    | spl15_24
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f1570]) ).

cnf(s379,plain,
    ( ~ spl15_85
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1595]) ).

cnf(s380,plain,
    ( ~ spl15_85
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s382,plain,
    ( ~ spl15_96
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f1608]) ).

cnf(s383,plain,
    ( ~ spl15_96
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f1609]) ).

cnf(s385,plain,
    ( ~ spl15_85
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s386,plain,
    ( ~ spl15_97
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s387,plain,
    ( ~ spl15_71
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s388,plain,
    ( ~ spl15_100
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s390,plain,
    ( ~ spl15_100
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s392,plain,
    ( ~ spl15_71
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f1640]) ).

cnf(s393,plain,
    ( ~ spl15_103
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1650]) ).

cnf(s395,plain,
    ( ~ spl15_108
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s396,plain,
    ( ~ spl15_108
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f1661]) ).

cnf(s397,plain,
    ( ~ spl15_22
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1663]) ).

cnf(s400,plain,
    ( ~ spl15_8
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s401,plain,
    ( ~ spl15_87
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s402,plain,
    ( ~ spl15_22
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1668]) ).

cnf(s403,plain,
    ( ~ spl15_22
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s404,plain,
    ( ~ spl15_10
    | spl15_32
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s405,plain,
    ( ~ spl15_10
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s406,plain,
    ( ~ spl15_10
    | ~ spl15_87 ),
    inference(sat_conversion,[],[f1681]) ).

cnf(s407,plain,
    ( ~ spl15_10
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f1682]) ).

cnf(s409,plain,
    ( ~ spl15_77
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s417,plain,
    ( ~ spl15_10
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s420,plain,
    ( ~ spl15_75
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s421,plain,
    ( ~ spl15_8
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s428,plain,
    ( ~ spl15_89
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1718]) ).

cnf(s429,plain,
    ( ~ spl15_30
    | ~ spl15_78 ),
    inference(sat_conversion,[],[f1719]) ).

cnf(s431,plain,
    ( ~ spl15_85
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s433,plain,
    ( ~ spl15_89
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f1723]) ).

cnf(s434,plain,
    ( ~ spl15_82
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f1724]) ).

cnf(s435,plain,
    ( ~ spl15_30
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s438,plain,
    ( ~ spl15_82
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s441,plain,
    ( ~ spl15_91
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s442,plain,
    ( ~ spl15_91
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f1758]) ).

cnf(s445,plain,
    ( ~ spl15_91
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1779]) ).

cnf(s446,plain,
    ( ~ spl15_94
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s447,plain,
    ( ~ spl15_105
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s448,plain,
    ( ~ spl15_85
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1784]) ).

cnf(s449,plain,
    ( ~ spl15_106
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f1794]) ).

cnf(s450,plain,
    ( ~ spl15_106
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f1795]) ).

cnf(s454,plain,
    ( ~ spl15_54
    | ~ spl15_71
    | spl15_79 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s460,plain,
    ( ~ spl15_78
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s462,plain,
    ( ~ spl15_90
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f1833]) ).

cnf(s464,plain,
    ( ~ spl15_94
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s465,plain,
    ( ~ spl15_91
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f1835]) ).

cnf(s472,plain,
    ( ~ spl15_10
    | ~ spl15_58
    | spl15_81 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s476,plain,
    ( ~ spl15_81
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1906]) ).

cnf(s481,plain,
    ( ~ spl15_81
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f1916]) ).

cnf(s482,plain,
    ( ~ spl15_5
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f1917]) ).

cnf(s484,plain,
    ( ~ spl15_5
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f1918]) ).

cnf(s487,plain,
    ( ~ spl15_90
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s490,plain,
    ( spl15_12
    | ~ spl15_18
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f1933]) ).

cnf(s494,plain,
    ( ~ spl15_107
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f1970]) ).

cnf(s497,plain,
    ( ~ spl15_10
    | spl15_58
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s499,plain,
    ( ~ spl15_79
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s502,plain,
    ( ~ spl15_55
    | ~ spl15_74
    | spl15_85 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s505,plain,
    ( ~ spl15_54
    | spl15_70
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f2029]) ).

cnf(s507,plain,
    ( ~ spl15_30
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s514,plain,
    ( ~ spl15_2
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s515,plain,
    ( ~ spl15_22
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s518,plain,
    ( ~ spl15_90
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s519,plain,
    ( ~ spl15_8
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f2034]) ).

cnf(s524,plain,
    ( ~ spl15_2
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f2035]) ).

cnf(s526,plain,
    ( ~ spl15_90
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f2036]) ).

cnf(s528,plain,
    ( ~ spl15_92
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s530,plain,
    ( ~ spl15_30
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f2039]) ).

cnf(s532,plain,
    ( ~ spl15_80
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s534,plain,
    ( ~ spl15_80
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f2041]) ).

cnf(s540,plain,
    ( ~ spl15_74
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f2042]) ).

cnf(s542,plain,
    ( ~ spl15_28
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s558,plain,
    ( ~ spl15_30
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s563,plain,
    ( ~ spl15_73
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s566,plain,
    ( ~ spl15_8
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2047]) ).

cnf(s569,plain,
    ( ~ spl15_94
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2048]) ).

cnf(s571,plain,
    ( ~ spl15_84
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s572,plain,
    ( ~ spl15_73
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f2051]) ).

cnf(s573,plain,
    ( ~ spl15_84
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s577,plain,
    ( ~ spl15_10
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2054]) ).

cnf(s578,plain,
    ( ~ spl15_86
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s587,plain,
    ( spl15_1
    | ~ spl15_8
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s601,plain,
    ( spl15_1
    | ~ spl15_16
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2120]) ).

cnf(s602,plain,
    ( ~ spl15_30
    | ~ spl15_53
    | spl15_72 ),
    inference(sat_conversion,[],[f2121]) ).

cnf(s603,plain,
    ( ~ spl15_30
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f2122]) ).

cnf(s608,plain,
    ( ~ spl15_72
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s609,plain,
    ( ~ spl15_72
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f2132]) ).

cnf(s611,plain,
    ( ~ spl15_72
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f2135]) ).

cnf(s626,plain,
    ( ~ spl15_28
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f2140]) ).

cnf(s628,plain,
    ( ~ spl15_110
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f2141]) ).

cnf(s632,plain,
    ( ~ spl15_104
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f2178]) ).

cnf(s634,plain,
    ( spl15_54
    | ~ spl15_83
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f2201]) ).

cnf(s636,plain,
    ( ~ spl15_60
    | ~ spl15_82
    | spl15_93 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s638,plain,
    ( spl15_52
    | ~ spl15_64
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f2223]) ).

cnf(s639,plain,
    ( ~ spl15_61
    | spl15_75
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s643,plain,
    ( spl15_56
    | ~ spl15_95
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2231]) ).

cnf(s654,plain,
    ( ~ spl15_95
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s672,plain,
    ( ~ spl15_13
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f2239]) ).

cnf(s681,plain,
    ( ~ spl15_13
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2240]) ).

cnf(s682,plain,
    ( ~ spl15_95
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2241]) ).

cnf(s683,plain,
    ( ~ spl15_79
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s685,plain,
    ( spl15_12
    | ~ spl15_13
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s690,plain,
    ( ~ spl15_26
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f2244]) ).

cnf(s698,plain,
    ( ~ spl15_56
    | spl15_95
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f2245]) ).

cnf(s703,plain,
    ( ~ spl15_76
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f2246]) ).

cnf(s728,plain,
    ( ~ spl15_1
    | ~ spl15_8
    | spl15_88 ),
    inference(sat_conversion,[],[f2252]) ).

cnf(s732,plain,
    ( ~ spl15_13
    | spl15_63
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f2266]) ).

cnf(s742,plain,
    ( ~ spl15_69
    | ~ spl15_76 ),
    inference(sat_conversion,[],[f2289]) ).

cnf(s743,plain,
    ( ~ spl15_69
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f2290]) ).

cnf(s744,plain,
    ( ~ spl15_69
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f2291]) ).

cnf(s745,plain,
    ( ~ spl15_26
    | ~ spl15_69 ),
    inference(sat_conversion,[],[f2293]) ).

cnf(s759,plain,
    ( ~ spl15_98
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f2354]) ).

cnf(s760,plain,
    ( ~ spl15_98
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f2355]) ).

cnf(s761,plain,
    ( ~ spl15_84
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f2357]) ).

cnf(s762,plain,
    ( ~ spl15_99
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2364]) ).

cnf(s767,plain,
    ( ~ spl15_72
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2382]) ).

cnf(s769,plain,
    ( ~ spl15_56
    | ~ spl15_76
    | spl15_91 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s791,plain,
    ( ~ spl15_65
    | spl15_69
    | ~ spl15_77 ),
    inference(sat_conversion,[],[f2452]) ).

cnf(s793,plain,
    ( ~ spl15_66
    | spl15_83
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f2460]) ).

cnf(s794,plain,
    ( ~ spl15_67
    | spl15_87
    | ~ spl15_119 ),
    inference(sat_conversion,[],[f2464]) ).

cnf(s841,plain,
    ( ~ spl15_13
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2467]) ).

cnf(s842,plain,
    ( ~ spl15_93
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s847,plain,
    ( ~ spl15_13
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f2471]) ).

cnf(s864,plain,
    ( ~ spl15_57
    | spl15_69
    | ~ spl15_72 ),
    inference(sat_conversion,[],[f2558]) ).

cnf(s874,plain,
    ( ~ spl15_84
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2561]) ).

cnf(s875,plain,
    ( ~ spl15_10
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2562]) ).

cnf(s877,plain,
    ( ~ spl15_91
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s883,plain,
    ( ~ spl15_28
    | ~ spl15_58
    | spl15_79 ),
    inference(sat_conversion,[],[f2617]) ).

cnf(s884,plain,
    ( ~ spl15_61
    | spl15_69
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f2623]) ).

cnf(s885,plain,
    ( ~ spl15_62
    | spl15_81
    | ~ spl15_86 ),
    inference(sat_conversion,[],[f2627]) ).

cnf(s886,plain,
    ( spl15_1
    | ~ spl15_2
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s890,plain,
    ( ~ spl15_64
    | spl15_91
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f2629]) ).

cnf(s892,plain,
    ( ~ spl15_70
    | ~ spl15_82 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s900,plain,
    ( ~ spl15_72
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f2632]) ).

cnf(s917,plain,
    ( ~ spl15_8
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f2636]) ).

cnf(s925,plain,
    ( ~ spl15_22
    | ~ spl15_84 ),
    inference(sat_conversion,[],[f2714]) ).

cnf(s926,plain,
    ( ~ spl15_22
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2715]) ).

cnf(s928,plain,
    ( ~ spl15_22
    | ~ spl15_53
    | spl15_75 ),
    inference(sat_conversion,[],[f2716]) ).

cnf(s938,plain,
    ( ~ spl15_59
    | spl15_89
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f2717]) ).

cnf(s956,plain,
    ( ~ spl15_2
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f2720]) ).

cnf(s959,plain,
    ( ~ spl15_85
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f2721]) ).

cnf(s962,plain,
    ( ~ spl15_88
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f2722]) ).

cnf(s965,plain,
    ( ~ spl15_57
    | spl15_75
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2723]) ).

cnf(s969,plain,
    ( ~ spl15_69
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f2724]) ).

cnf(s970,plain,
    ( ~ spl15_69
    | ~ spl15_71 ),
    inference(sat_conversion,[],[f2725]) ).

cnf(s979,plain,
    ( ~ spl15_5
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f2726]) ).

cnf(s982,plain,
    ( ~ spl15_102
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f2728]) ).

cnf(s985,plain,
    ( ~ spl15_16
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f2729]) ).

cnf(s987,plain,
    ( ~ spl15_16
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f2730]) ).

cnf(s988,plain,
    ( ~ spl15_67
    | spl15_85
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f2731]) ).

cnf(s990,plain,
    ( ~ spl15_1
    | ~ spl15_16
    | spl15_101 ),
    inference(sat_conversion,[],[f2732]) ).

cnf(s992,plain,
    ( ~ spl15_5
    | ~ spl15_63
    | spl15_87 ),
    inference(sat_conversion,[],[f2734]) ).

cnf(s1012,plain,
    ( ~ spl15_54
    | spl15_83
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f2735]) ).

cnf(s1021,plain,
    ( spl15_61
    | ~ spl15_69
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f2736]) ).

cnf(s1053,plain,
    ( ~ spl15_16
    | spl15_68
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f2747]) ).

cnf(s1080,plain,
    ( ~ spl15_55
    | spl15_73
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f2854]) ).

cnf(s1081,plain,
    ( ~ spl15_59
    | spl15_85
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f2855]) ).

cnf(s1086,plain,
    ( ~ spl15_71
    | ~ spl15_74 ),
    inference(sat_conversion,[],[f2856]) ).

cnf(s1094,plain,
    ( ~ spl15_73
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f2857]) ).

cnf(s1143,plain,
    ( ~ spl15_87
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2859]) ).

cnf(s1161,plain,
    ( ~ spl15_64
    | ~ spl15_88
    | spl15_95 ),
    inference(sat_conversion,[],[f2963]) ).

cnf(s1176,plain,
    ( spl15_65
    | ~ spl15_77
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f2995]) ).

cnf(s1180,plain,
    ( ~ spl15_24
    | spl15_34
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f2996]) ).

cnf(s1181,plain,
    ( spl15_57
    | ~ spl15_75
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f2997]) ).

cnf(s1182,plain,
    ( spl15_6
    | ~ spl15_24
    | ~ spl15_75 ),
    inference(sat_conversion,[],[f2998]) ).

cnf(s1190,plain,
    ( ~ spl15_15
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f3034]) ).

cnf(s1236,plain,
    ( ~ spl15_110
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f3037]) ).

cnf(s1239,plain,
    ( ~ spl15_62
    | spl15_79
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f3038]) ).

cnf(s1246,plain,
    ( ~ spl15_2
    | ~ spl15_68
    | spl15_93 ),
    inference(sat_conversion,[],[f3040]) ).

cnf(s1247,plain,
    ( ~ spl15_2
    | spl15_68
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f3041]) ).

cnf(s1259,plain,
    ( ~ spl15_67
    | spl15_89
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f3150]) ).

cnf(s1268,plain,
    ( ~ spl15_56
    | spl15_93
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f3151]) ).

cnf(s1294,plain,
    ( ~ spl15_62
    | spl15_83
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f3152]) ).

cnf(s1302,plain,
    ( ~ spl15_66
    | spl15_70
    | ~ spl15_83 ),
    inference(sat_conversion,[],[f3211]) ).

cnf(s1362,plain,
    ( ~ spl15_59
    | ~ spl15_80
    | spl15_87 ),
    inference(sat_conversion,[],[f3256]) ).

cnf(s1367,plain,
    ( ~ spl15_1
    | spl15_27
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f3257]) ).

cnf(s1370,plain,
    ( ~ spl15_2
    | spl15_3
    | ~ spl15_112
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f3258]) ).

cnf(s1391,plain,
    ( spl15_4
    | ~ spl15_5
    | ~ spl15_114 ),
    inference(sat_conversion,[],[f3259]) ).

cnf(s1425,plain,
    ( ~ spl15_111
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f3260]) ).

cnf(s1426,plain,
    ( ~ spl15_8
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f3261]) ).

cnf(s1445,plain,
    ( spl15_58
    | ~ spl15_70 ),
    inference(sat_conversion,[],[f3285]) ).

cnf(s1455,plain,
    ( ~ spl15_65
    | spl15_77
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f3367]) ).

cnf(s1456,plain,
    ( ~ spl15_67
    | spl15_73
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f3372]) ).

cnf(s1496,plain,
    ( ~ spl15_4
    | ~ spl15_5
    | spl15_114 ),
    inference(sat_conversion,[],[f3376]) ).

cnf(s1497,plain,
    ( ~ spl15_2
    | spl15_20
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f3377]) ).

cnf(s1498,plain,
    ( ~ spl15_4
    | spl15_34
    | ~ spl15_95 ),
    inference(sat_conversion,[],[f3378]) ).

cnf(s1508,plain,
    ( ~ spl15_20
    | spl15_27
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f3480]) ).

cnf(s1528,plain,
    ( spl15_3
    | ~ spl15_16
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f3481]) ).

cnf(s1560,plain,
    ( spl15_5
    | ~ spl15_19
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f3484]) ).

cnf(s1562,plain,
    ( ~ spl15_13
    | ~ spl15_63
    | spl15_89 ),
    inference(sat_conversion,[],[f3496]) ).

cnf(s1575,plain,
    ( ~ spl15_1
    | ~ spl15_68 ),
    inference(sat_conversion,[],[f3579]) ).

cnf(s1577,plain,
    ( ~ spl15_12
    | ~ spl15_18
    | spl15_96 ),
    inference(sat_conversion,[],[f3582]) ).

cnf(s1596,plain,
    ( ~ spl15_65
    | spl15_75
    | ~ spl15_103 ),
    inference(sat_conversion,[],[f3585]) ).

cnf(s1636,plain,
    ( spl15_6
    | ~ spl15_18
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f3587]) ).

cnf(s1640,plain,
    ( ~ spl15_16
    | ~ spl15_68
    | spl15_91 ),
    inference(sat_conversion,[],[f3588]) ).

cnf(s1720,plain,
    ( ~ spl15_61
    | spl15_72
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f3709]) ).

cnf(s1721,plain,
    ( ~ spl15_6
    | ~ spl15_12
    | spl15_110 ),
    inference(sat_conversion,[],[f3727]) ).

cnf(s1727,plain,
    ( ~ spl15_28
    | ~ spl15_58
    | spl15_79 ),
    inference(sat_conversion,[],[f3739]) ).

cnf(s1728,plain,
    ( ~ spl15_64
    | spl15_93
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f3740]) ).

cnf(s1749,plain,
    ( ~ spl15_83
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f3741]) ).

cnf(s1764,plain,
    ( spl15_4
    | ~ spl15_18
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f3742]) ).

cnf(s1765,plain,
    ( ~ spl15_4
    | spl15_19
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f3743]) ).

cnf(s1769,plain,
    ( ~ spl15_8
    | ~ spl15_68
    | spl15_95 ),
    inference(sat_conversion,[],[f3744]) ).

cnf(s1779,plain,
    ( ~ spl15_22
    | ~ spl15_101 ),
    inference(sat_conversion,[],[f3745]) ).

cnf(s1790,plain,
    ( ~ spl15_57
    | spl15_77
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f3746]) ).

cnf(s1828,plain,
    ( ~ spl15_92
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f3749]) ).

cnf(s1829,plain,
    ( ~ spl15_104
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f3750]) ).

cnf(s1846,plain,
    ( ~ spl15_93
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f3751]) ).

cnf(s1855,plain,
    ( ~ spl15_18
    | ~ spl15_108 ),
    inference(sat_conversion,[],[f3752]) ).

cnf(s1867,plain,
    ( spl15_7
    | ~ spl15_8
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f3758]) ).

cnf(s1872,plain,
    ( ~ spl15_73
    | ~ spl15_88 ),
    inference(sat_conversion,[],[f3788]) ).

cnf(s1873,plain,
    ( ~ spl15_73
    | ~ spl15_89 ),
    inference(sat_conversion,[],[f3789]) ).

cnf(s1883,plain,
    ( ~ spl15_4
    | spl15_13
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f3874]) ).

cnf(s1886,plain,
    ( ~ spl15_32
    | spl15_35
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f3925]) ).

cnf(s1895,plain,
    ( ~ spl15_66
    | spl15_79
    | ~ spl15_111 ),
    inference(sat_conversion,[],[f3930]) ).

cnf(s1966,plain,
    ( spl15_9
    | ~ spl15_10
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f3932]) ).

cnf(s1977,plain,
    ( ~ spl15_10
    | spl15_11
    | ~ spl15_109
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f4005]) ).

cnf(s1980,plain,
    ( ~ spl15_12
    | spl15_34
    | ~ spl15_115 ),
    inference(sat_conversion,[],[f4006]) ).

cnf(s1999,plain,
    ( ~ spl15_70
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f4012]) ).

cnf(s2003,plain,
    ( ~ spl15_81
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f4013]) ).

cnf(s2023,plain,
    ( spl15_55
    | ~ spl15_87
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f4014]) ).

cnf(s2027,plain,
    ( ~ spl15_2
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f4015]) ).

cnf(s2063,plain,
    ( ~ spl15_28
    | spl15_58
    | ~ spl15_79 ),
    inference(sat_conversion,[],[f4016]) ).

cnf(s2072,plain,
    ( ~ spl15_60
    | spl15_95
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f4017]) ).

cnf(s2073,plain,
    ( ~ spl15_66
    | spl15_81
    | ~ spl15_113 ),
    inference(sat_conversion,[],[f4018]) ).

cnf(s2103,plain,
    ( ~ spl15_18
    | spl15_63
    | ~ spl15_85 ),
    inference(sat_conversion,[],[f4019]) ).

cnf(s2104,plain,
    ( ~ spl15_15
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f4020]) ).

cnf(s2109,plain,
    ( ~ spl15_15
    | ~ spl15_106 ),
    inference(sat_conversion,[],[f4021]) ).

cnf(s2113,plain,
    ( ~ spl15_18
    | ~ spl15_63
    | spl15_85 ),
    inference(sat_conversion,[],[f4022]) ).

cnf(s2129,plain,
    ( ~ spl15_9
    | spl15_29
    | ~ spl15_112 ),
    inference(sat_conversion,[],[f4142]) ).

cnf(s2152,plain,
    ( spl15_9
    | ~ spl15_28
    | ~ spl15_104 ),
    inference(sat_conversion,[],[f4152]) ).

cnf(s2156,plain,
    ( ~ spl15_62
    | spl15_70
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f4199]) ).

cnf(s2157,plain,
    ( spl15_7
    | ~ spl15_16
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f4200]) ).

cnf(s2161,plain,
    ( ~ spl15_61
    | spl15_77
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f4204]) ).

cnf(s2193,plain,
    ( ~ spl15_7
    | ~ spl15_16
    | spl15_97 ),
    inference(sat_conversion,[],[f4205]) ).

cnf(s2214,plain,
    ( spl15_13
    | ~ spl15_34
    | ~ spl15_63 ),
    inference(sat_conversion,[],[f4206]) ).

cnf(s2266,plain,
    ( spl15_4
    | ~ spl15_13
    | ~ spl15_73 ),
    inference(sat_conversion,[],[f4293]) ).

cnf(s2311,plain,
    ( spl15_55
    | ~ spl15_89
    | ~ spl15_105 ),
    inference(sat_conversion,[],[f4295]) ).

cnf(s2320,plain,
    ( ~ spl15_65
    | spl15_72
    | ~ spl15_99 ),
    inference(sat_conversion,[],[f4296]) ).

cnf(s2330,plain,
    ( ~ spl15_22
    | spl15_23
    | ~ spl15_97
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f4410]) ).

cnf(s2331,plain,
    ( spl15_21
    | ~ spl15_22
    | ~ spl15_107 ),
    inference(sat_conversion,[],[f4413]) ).

cnf(s2334,plain,
    ( ~ spl15_18
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f4419]) ).

cnf(s2339,plain,
    ( ~ spl15_18
    | ~ spl15_117 ),
    inference(sat_conversion,[],[f4425]) ).

cnf(s2340,plain,
    ( ~ spl15_18
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f4427]) ).

cnf(s2358,plain,
    ( spl15_52
    | ~ spl15_60
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f4429]) ).

cnf(s2376,plain,
    ( ~ spl15_52
    | ~ spl15_94 ),
    inference(sat_conversion,[],[f4431]) ).

cnf(s2384,plain,
    ( ~ spl15_81
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f4432]) ).

cnf(s2402,plain,
    ( ~ spl15_52
    | ~ spl15_93 ),
    inference(sat_conversion,[],[f4434]) ).

cnf(s2417,plain,
    ( ~ spl15_15
    | ~ spl15_92 ),
    inference(sat_conversion,[],[f4435]) ).

cnf(s2426,plain,
    ( spl15_19
    | ~ spl15_24
    | ~ spl15_98 ),
    inference(sat_conversion,[],[f4436]) ).

cnf(s2428,plain,
    ( ~ spl15_55
    | spl15_87
    | ~ spl15_96 ),
    inference(sat_conversion,[],[f4437]) ).

cnf(s2429,plain,
    ( spl15_10
    | ~ spl15_29
    | ~ spl15_58 ),
    inference(sat_conversion,[],[f4438]) ).

cnf(s2472,plain,
    ( spl15_29
    | ~ spl15_32
    | ~ spl15_102 ),
    inference(sat_conversion,[],[f4442]) ).

cnf(s2476,plain,
    ( ~ spl15_54
    | spl15_81
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f4445]) ).

cnf(s2549,plain,
    ( spl15_56
    | ~ spl15_93
    | ~ spl15_97 ),
    inference(sat_conversion,[],[f4448]) ).

cnf(s2605,plain,
    ( ~ spl15_9
    | spl15_11
    | ~ spl15_109 ),
    inference(sat_conversion,[],[f4449]) ).

cnf(s2606,plain,
    ( spl15_6
    | ~ spl15_12
    | ~ spl15_110 ),
    inference(sat_conversion,[],[f4450]) ).

cnf(s2609,plain,
    ( ~ spl15_12
    | spl15_19
    | ~ spl15_81 ),
    inference(sat_conversion,[],[f4451]) ).

cnf(s2803,plain,
    ( spl15_64
    | ~ spl15_93
    | ~ spl15_118 ),
    inference(sat_conversion,[],[f4454]) ).

cnf(s2807,plain,
    ( ~ spl15_4
    | spl15_6
    | ~ spl15_116 ),
    inference(sat_conversion,[],[f4455]) ).

cnf(s2930,plain,
    ( spl15_52
    | ~ spl15_56
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f4457]) ).

cnf(s3032,plain,
    ( ~ spl15_52
    | ~ spl15_90 ),
    inference(sat_conversion,[],[f4458]) ).

cnf(s3064,plain,
    ( ~ spl15_52
    | ~ spl15_91 ),
    inference(sat_conversion,[],[f4459]) ).

cnf(s3092,plain,
    ( spl15_54
    | ~ spl15_81
    | ~ spl15_100 ),
    inference(sat_conversion,[],[f4460]) ).

cnf(s3180,plain,
    ~ spl15_37,
    inference(rat,[],[s35,s40]) ).

cnf(s3181,plain,
    ( ~ spl15_70
    | ~ spl15_73
    | ~ spl15_52 ),
    inference(rat,[],[s28,s63,s42,s66,s332,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s97,s73,s49,s88,s1094,s93,s563,s3180]) ).

cnf(s3182,plain,
    ( ~ spl15_73
    | ~ spl15_52
    | spl15_15
    | spl15_10 ),
    inference(rat,[],[s28,s46,s60,s626,s162,s70,s3181,s93,s88,s49,s73,s97,s563,s1094,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180]) ).

cnf(s3183,plain,
    ( ~ spl15_18
    | spl15_12
    | spl15_6
    | spl15_4 ),
    inference(rat,[],[s165,s2103,s269,s490,s1636,s1764]) ).

cnf(s3184,plain,
    ( ~ spl15_16
    | spl15_7
    | spl15_3
    | spl15_1 ),
    inference(rat,[],[s169,s359,s601,s1053,s1528,s2157]) ).

cnf(s3185,plain,
    ( ~ spl15_18
    | spl15_15
    | spl15_10
    | spl15_9
    | ~ spl15_52
    | spl15_6
    | spl15_4 ),
    inference(rat,[],[s28,s42,s66,s162,s94,s2152,s288,s140,s168,s75,s1980,s383,s534,s19,s165,s52,s2103,s3183,s61,s85,s269,s338,s1636,s1764,s2339,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s100,s3182,s3180]) ).

cnf(s3186,plain,
    ( spl15_85
    | spl15_54
    | spl15_43
    | spl15_38
    | spl15_42
    | spl15_46
    | spl15_41
    | spl15_26
    | spl15_95
    | spl15_47
    | ~ spl15_52 ),
    inference(rat,[],[s698,s169,s31,s435,s602,s157,s292,s502,s900,s969,s47,s51,s52,s28,s88,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180]) ).

cnf(s3187,plain,
    ( spl15_15
    | spl15_10
    | spl15_9
    | ~ spl15_52
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s571,s163,s87,s2606,s27,s685,s51,s144,s182,s385,s3186,s1012,s76,s42,s66,s90,s283,s325,s1999,s162,s64,s2152,s190,s690,s140,s247,s847,s167,s3185,s100,s3182,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180]) ).

cnf(s3188,plain,
    ( ~ spl15_39
    | spl15_85
    | spl15_22
    | spl15_73
    | ~ spl15_15
    | spl15_91
    | spl15_16 ),
    inference(rat,[],[s250,s32,s146,s249,s433,s158,s130,s2472,s17,s329,s252,s328,s204,s150,s149,s290,s292,s192,s311,s420,s900,s51,s52,s2109]) ).

cnf(s3189,plain,
    ( ~ spl15_46
    | ~ spl15_74
    | spl15_85
    | ~ spl15_26
    | spl15_95
    | ~ spl15_15
    | spl15_92
    | spl15_5 ),
    inference(rat,[],[s306,s409,s31,s164,s505,s698,s357,s161,s129,s144,s324,s578,s281,s2023,s93,s94,s2104,s284,s176,s1086,s502]) ).

cnf(s3190,plain,
    ( ~ spl15_43
    | spl15_71
    | spl15_69
    | spl15_95
    | ~ spl15_15
    | spl15_10
    | spl15_92 ),
    inference(rat,[],[s32,s2072,s864,s137,s158,s2472,s17,s328,s164,s390,s1362,s329,s161,s281,s337,s481,s499,s75,s76,s2109,s2104]) ).

cnf(s3191,plain,
    ( ~ spl15_74
    | spl15_38
    | spl15_39
    | spl15_85
    | ~ spl15_13
    | spl15_73
    | ~ spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_5 ),
    inference(rat,[],[s32,s252,s250,s133,s166,s329,s249,s178,s337,s683,s60,s63,s64,s28,s3190,s3189,s540,s1086,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s327,s70,s284,s100,s247,s745,s132,s681,s3032,s2109,s88,s3180]) ).

cnf(s3192,plain,
    ( spl15_38
    | spl15_39
    | spl15_85
    | ~ spl15_13
    | spl15_73
    | ~ spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s2426,s159,s11,s1182,s296,s168,s571,s288,s93,s94,s27,s64,s75,s244,s383,s534,s165,s3191,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s70,s284,s100,s681,s672,s88,s3180]) ).

cnf(s3193,plain,
    ( spl15_85
    | spl15_18
    | ~ spl15_13
    | spl15_73
    | ~ spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_16
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s329,s1749,s32,s128,s636,s2426,s250,s135,s11,s146,s534,s296,s222,s165,s142,s1086,s864,s178,s609,s41,s45,s46,s3192,s3188,s3064,s2402,s284,s672,s745,s176,s132,s681,s3032,s2109]) ).

cnf(s3194,plain,
    ( spl15_110
    | ~ spl15_84
    | spl15_63
    | spl15_18
    | ~ spl15_15
    | spl15_91 ),
    inference(rat,[],[s33,s890,s2156,s141,s163,s326,s284,s571,s639,s192]) ).

cnf(s3195,plain,
    ( ~ spl15_110
    | spl15_55
    | spl15_74
    | spl15_89
    | spl15_100
    | ~ spl15_13
    | ~ spl15_15
    | ~ spl15_52
    | spl15_6 ),
    inference(rat,[],[s306,s291,s31,s168,s505,s769,s685,s161,s125,s2606,s315,s3064,s2376,s2104,s284,s745,s132,s681,s3032,s2109]) ).

cnf(s3196,plain,
    ( ~ spl15_43
    | spl15_84
    | spl15_89
    | ~ spl15_13
    | spl15_94
    | spl15_6 ),
    inference(rat,[],[s296,s1182,s168,s159,s279,s2384,s75,s76,s681]) ).

cnf(s3197,plain,
    ( ~ spl15_41
    | spl15_84
    | spl15_110
    | spl15_63
    | spl15_69
    | spl15_107
    | spl15_115
    | spl15_93
    | spl15_5 ),
    inference(rat,[],[s33,s884,s1728,s885,s159,s143,s163,s234,s499,s63,s64]) ).

cnf(s3198,plain,
    ( spl15_18
    | ~ spl15_13
    | spl15_73
    | ~ spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_16
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s1268,s31,s454,s169,s306,s180,s313,s611,s45,s46,s26,s3197,s3196,s87,s3194,s3195,s51,s94,s1562,s1080,s182,s379,s380,s431,s959,s3193,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s326,s70,s284,s100,s745,s132,s681,s3032,s2109,s3180]) ).

cnf(s3199,plain,
    ( ~ spl15_13
    | spl15_73
    | ~ spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s383,s293,s165,s2103,s3183,s269,s1636,s3198,s672]) ).

cnf(s3200,plain,
    ( spl15_73
    | ~ spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s1764,s148,s167,s3199,s2376,s327]) ).

cnf(s3201,plain,
    ( ~ spl15_41
    | spl15_95
    | spl15_87
    | spl15_85
    | ~ spl15_15
    | spl15_10 ),
    inference(rat,[],[s32,s2072,s1081,s137,s166,s329,s249,s178,s188,s337,s683,s63,s64,s327]) ).

cnf(s3202,plain,
    ( spl15_10
    | spl15_9
    | ~ spl15_52
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s329,s32,s208,s1362,s2072,s138,s166,s137,s392,s864,s609,s744,s767,s45,s46,s26,s3201,s682,s132,s243,s148,s93,s88,s2266,s49,s73,s97,s239,s563,s1094,s3200,s70,s284,s327,s2109,s3187,s3032,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180]) ).

cnf(s3203,plain,
    ~ spl15_42,
    inference(rat,[],[s66,s70]) ).

cnf(s3204,plain,
    ( ~ spl15_85
    | spl15_41
    | spl15_26
    | spl15_46
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_113
    | ~ spl15_52
    | spl15_8 ),
    inference(rat,[],[s157,s744,s41,s46,s28,s87,s237,s153,s403,s431,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180,s3203]) ).

cnf(s3205,plain,
    ( spl15_9
    | ~ spl15_52
    | spl15_8
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s634,s164,s454,s314,s45,s28,s88,s3204,s64,s190,s690,s93,s140,s48,s72,s96,s174,s407,s417,s1966,s3202,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180,s3203]) ).

cnf(s3206,plain,
    ( ~ spl15_15
    | spl15_10
    | ~ spl15_9
    | ~ spl15_52
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s32,s2429,s1362,s2129,s2072,s166,s137,s864,s609,s744,s767,s46,s26,s3201,s682,s132,s243,s148,s93,s88,s2266,s49,s73,s97,s239,s563,s1094,s3200,s327,s2109,s3032,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180,s3203]) ).

cnf(s3207,plain,
    ( ~ spl15_45
    | spl15_87
    | spl15_15
    | spl15_10
    | ~ spl15_9 ),
    inference(rat,[],[s2429,s2129,s1445,s137,s162,s874,s84,s87]) ).

cnf(s3208,plain,
    ( ~ spl15_13
    | spl15_38
    | spl15_45
    | spl15_39
    | spl15_46
    | spl15_89
    | spl15_47
    | spl15_15
    | ~ spl15_52
    | spl15_6 ),
    inference(rat,[],[s890,s33,s171,s639,s192,s573,s2156,s1999,s2003,s3196,s76,s28,s64,s190,s140,s1562,s247,s847,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180,s3203]) ).

cnf(s3209,plain,
    ( ~ spl15_18
    | ~ spl15_85
    | spl15_6 ),
    inference(rat,[],[s2103,s1636]) ).

cnf(s3210,plain,
    ( ~ spl15_38
    | spl15_15
    | spl15_10 ),
    inference(rat,[],[s162,s626,s42,s46]) ).

cnf(s3211,plain,
    ( ~ spl15_85
    | spl15_15
    | spl15_10
    | ~ spl15_9
    | ~ spl15_52
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s3208,s167,s51,s3207,s94,s3209,s182,s380,s431,s100,s3182,s3210]) ).

cnf(s3212,plain,
    ( spl15_46
    | ~ spl15_13
    | spl15_39
    | spl15_45
    | spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_6 ),
    inference(rat,[],[s351,s164,s162,s481,s1999,s76,s316,s28,s3208,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s100,s3182,s3210,s64,s190,s140,s847,s301,s3180,s3203]) ).

cnf(s3213,plain,
    ( ~ spl15_13
    | spl15_39
    | spl15_45
    | spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_6 ),
    inference(rat,[],[s291,s1790,s168,s32,s357,s636,s883,s136,s135,s162,s184,s250,s281,s288,s90,s93,s94,s3212,s194,s190,s139,s140,s841,s847,s2402,s2376,s301,s3182]) ).

cnf(s3214,plain,
    ( spl15_39
    | spl15_85
    | spl15_15
    | spl15_10
    | ~ spl15_52
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s94,s288,s28,s168,s75,s383,s534,s165,s61,s269,s1764,s2339,s167,s3213,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s100,s3182,s3210,s88,s3180,s3203]) ).

cnf(s3215,plain,
    ( spl15_10
    | ~ spl15_9
    | ~ spl15_52
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s3186,s76,s64,s90,s1999,s190,s690,s1012,s162,s140,s204,s351,s247,s847,s149,s167,s290,s311,s338,s51,s52,s3214,s3211,s3210,s100,s3182,s3206,s301,s3203]) ).

cnf(s3216,plain,
    ( ~ spl15_85
    | spl15_41
    | spl15_46
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_15
    | spl15_113
    | ~ spl15_52
    | spl15_8
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s140,s847,s690,s167,s3204,s3209,s1094,s301]) ).

cnf(s3217,plain,
    ( spl15_8
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_2 ),
    inference(rat,[],[s32,s938,s472,s222,s481,s149,s164,s166,s314,s864,s609,s611,s744,s45,s46,s28,s88,s3216,s63,s460,s532,s636,s170,s2605,s93,s4,s48,s72,s96,s174,s405,s406,s407,s417,s3215,s3205,s123,s118,s112,s56,s80,s104,s301,s2376,s2402,s3064,s172,s3180,s3203]) ).

cnf(s3218,plain,
    ( spl15_10
    | ~ spl15_52
    | spl15_4
    | spl15_16
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s3215,s3202]) ).

cnf(s3219,plain,
    ( ~ spl15_85
    | spl15_86
    | spl15_91
    | spl15_89
    | spl15_88
    | spl15_118
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s33,s890,s2156,s1999,s171,s143,s1562,s247,s639,s192,s761,s167,s145,s3209,s1094]) ).

cnf(s3220,plain,
    ( ~ spl15_104
    | spl15_45
    | spl15_46
    | ~ spl15_52
    | spl15_48
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_113 ),
    inference(rat,[],[s634,s164,s454,s314,s45,s28,s64,s190,s301,s80,s56,s112,s3064,s118,s2402,s3180,s3203]) ).

cnf(s3221,plain,
    ( ~ spl15_52
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_89
    | spl15_101
    | spl15_88
    | spl15_113
    | spl15_112
    | spl15_118
    | spl15_16
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s434,s170,s169,s242,s703,s171,s654,s140,s3220,s88,s3219,s93,s174,s417,s3218,s301,s2402,s3064,s105]) ).

cnf(s3222,plain,
    ( ~ spl15_85
    | spl15_10
    | spl15_52
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_89
    | spl15_88
    | spl15_113
    | spl15_112
    | spl15_118
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s107,s30,s157,s118,s245,s442,s890,s33,s530,s171,s63,s1720,s46,s143,s87,s1562,s55,s79,s247,s188,s767,s885,s184,s571,s167,s137,s94,s138,s3209,s380,s403,s959,s1094,s105,s3203,s3180]) ).

cnf(s3223,plain,
    ( ~ spl15_13
    | ~ spl15_15
    | spl15_85
    | spl15_52
    | spl15_88
    | spl15_118
    | ~ spl15_8
    | spl15_4 ),
    inference(rat,[],[s988,s34,s168,s1302,s357,s329,s32,s1455,s864,s611,s744,s158,s460,s636,s170,s242,s250,s1143,s155,s171,s1769,s146,s240,s247,s2266,s1426,s519,s2417,s2109,s1190,s284]) ).

cnf(s3224,plain,
    ( ~ spl15_18
    | spl15_46
    | ~ spl15_15
    | spl15_85
    | spl15_52
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_101
    | spl15_88
    | spl15_118
    | spl15_4 ),
    inference(rat,[],[s313,s169,s45,s382,s441,s30,s165,s171,s61,s109,s269,s1764,s2340,s105,s88,s78,s54,s117,s2417,s3203,s3180]) ).

cnf(s3225,plain,
    ( ~ spl15_49
    | spl15_13
    | spl15_114 ),
    inference(rat,[],[s148,s462,s465,s111,s112]) ).

cnf(s3226,plain,
    ( spl15_46
    | spl15_13
    | ~ spl15_15
    | spl15_85
    | spl15_10
    | spl15_52
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_101
    | spl15_88
    | spl15_113
    | spl15_118
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s30,s64,s45,s216,s392,s138,s563,s167,s3224,s105,s88,s78,s54,s117,s2417,s3225,s327,s3203,s3180]) ).

cnf(s3227,plain,
    ( ~ spl15_15
    | spl15_85
    | spl15_10
    | spl15_52
    | spl15_88
    | spl15_118
    | ~ spl15_8
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s441,s171,s131,s1764,s2340,s176,s167,s130,s571,s239,s1143,s93,s94,s3226,s3223,s2104,s917,s566,s400,s122,s98,s74,s50]) ).

cnf(s3228,plain,
    ( ~ spl15_50
    | spl15_76
    | spl15_59
    | spl15_80
    | spl15_15
    | spl15_10
    | spl15_52
    | spl15_101 ),
    inference(rat,[],[s32,s883,s249,s246,s626,s135,s169,s162,s2358,s212,s442,s114,s118]) ).

cnf(s3229,plain,
    ( ~ spl15_49
    | spl15_115
    | spl15_15 ),
    inference(rat,[],[s140,s487,s877,s111,s112]) ).

cnf(s3230,plain,
    ( ~ spl15_41
    | spl15_15
    | spl15_10 ),
    inference(rat,[],[s162,s238,s60,s64]) ).

cnf(s3231,plain,
    ( ~ spl15_13
    | spl15_46
    | spl15_15
    | spl15_85
    | spl15_10
    | spl15_52
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_89
    | spl15_101
    | spl15_88
    | spl15_118
    | spl15_4 ),
    inference(rat,[],[s3228,s703,s27,s250,s281,s171,s3229,s146,s55,s79,s247,s847,s2266,s105,s88,s3210,s3230,s3180,s3203]) ).

cnf(s3232,plain,
    ( ~ spl15_18
    | spl15_15
    | spl15_85
    | spl15_10
    | spl15_52
    | spl15_89
    | spl15_101
    | spl15_88
    | spl15_113
    | spl15_118
    | spl15_6
    | spl15_4
    | spl15_2 ),
    inference(rat,[],[s33,s1720,s885,s159,s138,s481,s925,s926,s164,s157,s351,s626,s264,s162,s139,s742,s892,s286,s569,s169,s152,s168,s382,s383,s558,s638,s318,s441,s682,s165,s171,s269,s338,s1636,s1764,s2339,s2340]) ).

cnf(s3233,plain,
    ( ~ spl15_50
    | spl15_79
    | ~ spl15_102
    | spl15_87
    | spl15_15
    | spl15_10
    | spl15_52
    | spl15_88
    | spl15_118 ),
    inference(rat,[],[s965,s32,s1362,s420,s883,s135,s171,s162,s2358,s212,s318,s114,s118,s188]) ).

cnf(s3234,plain,
    ( ~ spl15_49
    | spl15_72
    | spl15_13
    | spl15_88
    | spl15_118 ),
    inference(rat,[],[s242,s133,s171,s210,s441,s3225,s108,s112]) ).

cnf(s3235,plain,
    ( ~ spl15_44
    | spl15_79
    | spl15_22
    | ~ spl15_102
    | spl15_87
    | spl15_15
    | spl15_10
    | spl15_89
    | spl15_118
    | spl15_5 ),
    inference(rat,[],[s32,s965,s938,s1021,s166,s157,s883,s542,s1720,s530,s636,s162,s143,s212,s532,s325,s481,s77,s81,s82,s767]) ).

cnf(s3236,plain,
    ( spl15_46
    | spl15_18
    | spl15_15
    | spl15_85
    | spl15_10
    | spl15_52
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_89
    | spl15_101
    | spl15_88
    | spl15_113
    | spl15_112
    | spl15_118
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s159,s682,s530,s171,s157,s703,s742,s311,s53,s57,s58,s30,s3235,s3234,s3233,s767,s216,s926,s137,s138,s239,s563,s572,s167,s3231,s105,s88,s3210,s3230,s3203,s3180]) ).

cnf(s3237,plain,
    ( spl15_10
    | spl15_52
    | spl15_88
    | spl15_118
    | ~ spl15_8
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_2 ),
    inference(rat,[],[s31,s502,s505,s142,s161,s291,s2930,s877,s160,s928,s890,s526,s420,s33,s158,s171,s1720,s234,s760,s1562,s247,s345,s626,s143,s167,s130,s162,s885,s184,s571,s578,s220,s239,s1143,s90,s93,s94,s3236,s3232,s3227,s3222,s1426,s917,s566,s519,s400,s122,s98,s74,s50]) ).

cnf(s3238,plain,
    ( ~ spl15_85
    | spl15_87
    | spl15_86
    | spl15_100
    | spl15_52
    | spl15_89
    | spl15_88
    | spl15_112
    | spl15_118
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s602,s609,s31,s127,s166,s454,s434,s532,s161,s170,s499,s242,s143,s171,s761,s841,s2930,s441,s442,s877,s145,s167,s3219,s3209,s1080,s385,s1094]) ).

cnf(s3239,plain,
    ( ~ spl15_50
    | spl15_13
    | ~ spl15_22
    | spl15_118
    | spl15_2 ),
    inference(rat,[],[s10,s2330,s2331,s152,s147,s528,s212,s318,s117,s118]) ).

cnf(s3240,plain,
    ( ~ spl15_49
    | spl15_13
    | ~ spl15_10
    | spl15_89
    | spl15_88
    | spl15_112
    | spl15_118 ),
    inference(rat,[],[s636,s32,s170,s472,s864,s608,s476,s938,s442,s3234,s3229,s3225,s107,s112,s174]) ).

cnf(s3241,plain,
    ( spl15_95
    | spl15_55
    | spl15_93
    | spl15_79
    | ~ spl15_22
    | spl15_100
    | spl15_52
    | spl15_88
    | spl15_118 ),
    inference(rat,[],[s454,s31,s161,s928,s2930,s877,s420,s156,s171]) ).

cnf(s3242,plain,
    ( ~ spl15_44
    | ~ spl15_22
    | ~ spl15_10
    | spl15_52
    | spl15_89
    | spl15_101
    | spl15_88
    | spl15_118
    | spl15_5 ),
    inference(rat,[],[s32,s864,s938,s158,s139,s1886,s23,s742,s404,s169,s163,s441,s654,s3241,s2428,s144,s472,s636,s212,s434,s460,s532,s357,s481,s683,s81,s82,s875,s577,s417,s406,s174]) ).

cnf(s3243,plain,
    ( ~ spl15_40
    | spl15_26
    | spl15_84
    | ~ spl15_10
    | spl15_88
    | spl15_118 ),
    inference(rat,[],[s1886,s23,s404,s163,s2384,s159,s132,s654,s682,s1176,s171,s791,s703,s742,s311,s57,s58,s417]) ).

cnf(s3244,plain,
    ( ~ spl15_41
    | spl15_118
    | spl15_5 ),
    inference(rat,[],[s143,s234,s499,s63,s64]) ).

cnf(s3245,plain,
    ( spl15_91
    | spl15_95
    | spl15_76
    | spl15_57
    | spl15_108
    | spl15_75
    | ~ spl15_22
    | ~ spl15_10
    | spl15_52
    | spl15_101 ),
    inference(rat,[],[s10,s2330,s2331,s159,s2384,s472,s32,s1362,s166,s2358,s842,s169,s156,s406,s925]) ).

cnf(s3246,plain,
    ( spl15_95
    | spl15_79
    | spl15_76
    | spl15_74
    | spl15_57
    | spl15_108
    | spl15_75
    | spl15_85
    | ~ spl15_10
    | spl15_52
    | spl15_101
    | spl15_88
    | spl15_118 ),
    inference(rat,[],[s2428,s3241,s165,s442,s465,s3245,s406,s129,s577]) ).

cnf(s3247,plain,
    ( spl15_7
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s2384,s163,s159,s654,s682,s3246,s180,s313,s315,s1086,s864,s609,s744,s900,s45,s46,s30,s3244,s3243,s3242,s3240,s3239,s2266,s176,s925,s146,s129,s88,s3238,s93,s406,s417,s577,s3237,s3221,s105,s50,s74,s98,s122,s519,s566,s587,s917,s1426,s1867,s3217,s3184,s3203,s3180]) ).

cnf(s3248,plain,
    ( ~ spl15_85
    | spl15_13
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s167,s3209,s1094]) ).

cnf(s3249,plain,
    ( ~ spl15_15
    | ~ spl15_95
    | ~ spl15_52 ),
    inference(rat,[],[s243,s148,s132,s327,s2109,s3032,s2376,s682,s247]) ).

cnf(s3250,plain,
    ( spl15_10
    | ~ spl15_52
    | ~ spl15_7
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s269,s51,s167,s3214,s3182,s3249,s3248,s247,s171,s962,s170,s386,s434,s298,s985,s2193,s3218,s2402]) ).

cnf(s3251,plain,
    ( ~ spl15_85
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_15
    | spl15_112
    | spl15_113
    | spl15_86
    | ~ spl15_52
    | spl15_6
    | spl15_5 ),
    inference(rat,[],[s312,s170,s169,s438,s435,s3219,s157,s573,s83,s87,s3220,s690,s140,s847,s3248,s379,s403,s431,s3064,s2402,s301,s104,s123,s2376,s93]) ).

cnf(s3252,plain,
    ( ~ spl15_52
    | ~ spl15_7
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3221,s519,s566,s587,s3217,s2193,s434,s438,s170,s2605,s4,s1966,s140,s3220,s88,s3251,s93,s48,s72,s96,s174,s405,s407,s417,s3250,s123,s104,s301,s2376,s2402]) ).

cnf(s3253,plain,
    ( spl15_88
    | spl15_118
    | spl15_10
    | spl15_95
    | spl15_52
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_2 ),
    inference(rat,[],[s3217,s985,s3237,s171]) ).

cnf(s3254,plain,
    ( spl15_118
    | spl15_10
    | ~ spl15_85
    | spl15_52
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_2 ),
    inference(rat,[],[s30,s117,s46,s287,s110,s767,s138,s3217,s3196,s87,s137,s323,s421,s573,s962,s3253,s3244,s959,s100,s1094,s106,s431,s94,s380,s51,s182,s240,s79,s55,s124,s247,s3248,s3203,s3180]) ).

cnf(s3255,plain,
    ( spl15_10
    | ~ spl15_85
    | spl15_52
    | ~ spl15_7
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_2 ),
    inference(rat,[],[s30,s113,s3229,s128,s1190,s762,s1728,s168,s33,s296,s884,s1182,s969,s63,s46,s159,s87,s885,s188,s767,s874,s138,s137,s917,s1426,s172,s2193,s76,s386,s759,s2003,s3254,s959,s100,s1094,s106,s94,s380,s51,s182,s847,s681,s240,s79,s55,s1562,s431,s124,s247,s3248,s3203,s3180]) ).

cnf(s3256,plain,
    ( ~ spl15_88
    | spl15_86
    | spl15_102
    | ~ spl15_13
    | spl15_18
    | spl15_74
    | spl15_89
    | spl15_52
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s33,s884,s969,s2156,s332,s141,s163,s158,s2606,s609,s685,s1846,s142,s168,s156,s985,s987,s1053,s1528,s3217,s1161,s421,s847,s247,s240,s1562]) ).

cnf(s3257,plain,
    ( ~ spl15_85
    | spl15_52
    | ~ spl15_7
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s32,s864,s744,s2358,s158,s139,s1362,s337,s1886,s144,s23,s685,s404,s2606,s163,s472,s2003,s3238,s3256,s174,s405,s417,s875,s3255,s841,s847,s3248,s3209,s182,s380,s385,s431,s959]) ).

cnf(s3258,plain,
    ( ~ spl15_73
    | spl15_39
    | spl15_46
    | spl15_44
    | spl15_40
    | spl15_101
    | spl15_116
    | spl15_50
    | spl15_49
    | spl15_88
    | spl15_41
    | spl15_118
    | spl15_10
    | spl15_85
    | spl15_52
    | spl15_4 ),
    inference(rat,[],[s141,s3224,s315,s900,s3210,s45,s46,s30,s73,s97,s121,s88,s105,s3203,s3180]) ).

cnf(s3259,plain,
    ( ~ spl15_18
    | spl15_96
    | spl15_6
    | spl15_4 ),
    inference(rat,[],[s1577,s3183]) ).

cnf(s3260,plain,
    ( spl15_88
    | spl15_118
    | spl15_10
    | spl15_85
    | ~ spl15_7
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3258,s49,s167,s3259,s94,s401,s81,s57,s154,s382,s434,s359,s601,s985,s2193,s118,s112,s3217,s247,s318,s441,s3237,s3253,s3252,s3244]) ).

cnf(s3261,plain,
    ( spl15_89
    | spl15_39
    | ~ spl15_13
    | spl15_15
    | spl15_44
    | spl15_49
    | spl15_76
    | spl15_51
    | spl15_46
    | spl15_101
    | spl15_84
    | spl15_73
    | spl15_41
    | spl15_10
    | spl15_85
    | spl15_52
    | spl15_6 ),
    inference(rat,[],[s3228,s30,s250,s281,s3196,s146,s88,s100,s57,s3210,s240,s103,s3203,s3180]) ).

cnf(s3262,plain,
    ( ~ spl15_89
    | spl15_69
    | spl15_115
    | spl15_15
    | spl15_30
    | spl15_77
    | spl15_68
    | spl15_86
    | spl15_112
    | spl15_73
    | spl15_10 ),
    inference(rat,[],[s34,s2320,s793,s202,s160,s140,s235,s690,s157,s767,s926,s137,s138,s1456,s288,s316,s433]) ).

cnf(s3263,plain,
    ( spl15_118
    | spl15_10
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s2156,s1999,s33,s163,s884,s2606,s52,s685,s3261,s168,s1562,s3262,s743,s165,s240,s672,s847,s167,s1190,s3259,s81,s156,s382,s434,s435,s110,s299,s359,s987,s1053,s1528,s2193,s124,s93,s3217,s1161,s289,s321,s323,s421,s573,s962,s1872,s3260,s3244,s3257,s3252,s3247]) ).

cnf(s3264,plain,
    ( spl15_86
    | spl15_46
    | spl15_63
    | spl15_73
    | ~ spl15_13
    | spl15_39
    | spl15_47
    | spl15_51
    | spl15_113
    | ~ spl15_118
    | spl15_10
    | spl15_45 ),
    inference(rat,[],[s114,s27,s162,s3229,s1190,s1728,s33,s1239,s64,s45,s216,s315,s352,s639,s192,s138,s163,s145,s76,s2003,s81,s438,s105,s224,s847,s55,s3180,s3203]) ).

cnf(s3265,plain,
    ( ~ spl15_86
    | spl15_108
    | spl15_63
    | ~ spl15_13
    | spl15_16
    | ~ spl15_118
    | spl15_6 ),
    inference(rat,[],[s133,s319,s351,s1728,s149,s33,s296,s884,s1182,s311,s900,s969,s159,s885,s571,s2003,s759,s681]) ).

cnf(s3266,plain,
    ( ~ spl15_13
    | spl15_39
    | spl15_47
    | spl15_51
    | spl15_89
    | spl15_113
    | spl15_16
    | ~ spl15_118
    | spl15_10
    | spl15_85
    | spl15_6
    | spl15_4 ),
    inference(rat,[],[s3264,s93,s3265,s220,s146,s1562,s2266,s88]) ).

cnf(s3267,plain,
    ( ~ spl15_18
    | spl15_86
    | spl15_81
    | spl15_6
    | spl15_4 ),
    inference(rat,[],[s1980,s19,s163,s3183,s270]) ).

cnf(s3268,plain,
    ( spl15_93
    | spl15_72
    | spl15_41
    | spl15_54
    | spl15_71
    | spl15_22
    | spl15_46
    | spl15_39
    | spl15_47
    | spl15_51
    | spl15_101
    | spl15_112
    | spl15_48
    | spl15_43
    | spl15_97
    | spl15_82
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s31,s502,s602,s125,s157,s107,s2930,s245,s30,s169,s57,s346,s170,s118,s88,s81,s45,s3203,s3180]) ).

cnf(s3269,plain,
    ( ~ spl15_50
    | spl15_79
    | spl15_81 ),
    inference(rat,[],[s136,s202,s114,s117]) ).

cnf(s3270,plain,
    ( spl15_86
    | spl15_46
    | spl15_13
    | ~ spl15_8
    | ~ spl15_118
    | spl15_10
    | spl15_85
    | spl15_52
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s793,s34,s140,s794,s325,s1829,s144,s162,s165,s196,s352,s494,s558,s142,s141,s159,s157,s791,s291,s311,s53,s58,s30,s3269,s292,s742,s1769,s169,s890,s3225,s318,s442,s842,s1190,s2803,s3268,s767,s130,s239,s572,s167,s3267,s64,s45,s2476,s216,s392,s926,s138,s88,s759,s386,s76,s2003,s81,s438,s105,s224,s1426,s917,s566,s400,s122,s98,s50,s3203,s3180]) ).

cnf(s3271,plain,
    ( spl15_93
    | spl15_114
    | spl15_50
    | spl15_106
    | spl15_41
    | spl15_49
    | spl15_46
    | spl15_39
    | spl15_47
    | spl15_51
    | spl15_112
    | spl15_48
    | spl15_43
    | spl15_82
    | spl15_45
    | spl15_52 ),
    inference(rat,[],[s30,s46,s54,s608,s139,s170,s81,s3203,s3180]) ).

cnf(s3272,plain,
    ( spl15_46
    | spl15_13
    | ~ spl15_8
    | ~ spl15_118
    | spl15_10
    | spl15_85
    | spl15_52
    | spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s1302,s332,s34,s164,s158,s791,s409,s611,s58,s742,s30,s169,s3210,s442,s1190,s3271,s1259,s286,s569,s1769,s3269,s168,s450,s682,s244,s383,s159,s3259,s61,s109,s338,s2339,s515,s167,s129,s563,s571,s578,s3270,s88,s759,s386,s76,s2003,s81,s438,s105,s224,s1426,s917,s566,s519,s122,s98,s50,s3203,s3180]) ).

cnf(s3273,plain,
    ( spl15_10
    | spl15_6
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s877,s169,s161,s742,s970,s791,s34,s1302,s1259,s160,s1769,s151,s168,s518,s682,s244,s383,s159,s3259,s338,s2339,s236,s167,s135,s571,s578,s239,s281,s90,s93,s94,s3272,s3266,s50,s98,s122,s400,s519,s566,s917,s172,s2193,s386,s438,s759,s3263,s3257,s3252,s3247]) ).

cnf(s3274,plain,
    ( spl15_93
    | spl15_49
    | spl15_41
    | ~ spl15_118
    | spl15_46
    | spl15_39
    | spl15_43
    | spl15_47
    | spl15_51
    | spl15_112
    | spl15_45
    | spl15_52 ),
    inference(rat,[],[s30,s57,s46,s346,s608,s170,s118,s81,s438,s105,s224,s3203,s3180]) ).

cnf(s3275,plain,
    ( spl15_72
    | spl15_28
    | spl15_60
    | spl15_109
    | spl15_106
    | spl15_58
    | spl15_102
    | spl15_85 ),
    inference(rat,[],[s32,s1081,s249,s133,s158]) ).

cnf(s3276,plain,
    ( ~ spl15_72
    | spl15_69
    | spl15_60
    | spl15_114
    | spl15_58
    | spl15_87 ),
    inference(rat,[],[s1362,s32,s166,s864,s609]) ).

cnf(s3277,plain,
    ( ~ spl15_93
    | spl15_101
    | spl15_58
    | spl15_97
    | spl15_87
    | spl15_102
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s166,s542,s337,s3275,s158,s3276,s742,s169,s2358,s319,s442,s842,s1846]) ).

cnf(s3278,plain,
    ( ~ spl15_115
    | ~ spl15_109
    | ~ spl15_10 ),
    inference(rat,[],[s4,s1977,s1966]) ).

cnf(s3279,plain,
    ( ~ spl15_118
    | ~ spl15_10
    | spl15_85
    | spl15_52
    | ~ spl15_7
    | spl15_2 ),
    inference(rat,[],[s502,s125,s31,s505,s59,s928,s161,s3274,s310,s315,s2930,s877,s3229,s163,s169,s3278,s346,s170,s3277,s129,s566,s172,s1445,s2193,s472,s386,s438,s2003,s88,s875,s577,s406,s405,s174,s120,s96,s72,s48,s93,s417]) ).

cnf(s3280,plain,
    ( ~ spl15_8
    | spl15_118
    | ~ spl15_10
    | spl15_85
    | spl15_52
    | spl15_5
    | spl15_4
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s2384,s163,s159,s654,s682,s3246,s180,s313,s315,s1086,s864,s609,s744,s900,s45,s46,s30,s3239,s3240,s3243,s2266,s3242,s176,s925,s146,s129,s105,s519,s566,s587,s88,s577,s406,s405,s120,s96,s72,s48,s93,s417,s3244,s3203,s3180]) ).

cnf(s3281,plain,
    ( spl15_6
    | spl15_5
    | spl15_1
    | spl15_4
    | spl15_3
    | spl15_2 ),
    inference(rat,[],[s27,s45,s117,s1086,s487,s165,s132,s103,s672,s681,s167,s1846,s176,s1872,s3259,s170,s81,s57,s129,s154,s382,s434,s110,s298,s359,s601,s2193,s3217,s3280,s3244,s3279,s93,s48,s72,s96,s120,s405,s417,s577,s3273,s88,s3257,s3252,s3247,s3203,s3180]) ).

cnf(s3282,plain,
    ( spl15_7
    | spl15_52
    | ~ spl15_118
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s172,s1867,s3184]) ).

cnf(s3283,plain,
    ( ~ spl15_100
    | spl15_74
    | spl15_69
    | spl15_68
    | spl15_38
    | spl15_15
    | spl15_106
    | spl15_49
    | spl15_41
    | spl15_46
    | spl15_39
    | spl15_47
    | spl15_51
    | spl15_89
    | spl15_52
    | spl15_85
    | ~ spl15_118 ),
    inference(rat,[],[s34,s794,s793,s202,s168,s140,s1143,s464,s1829,s494,s158,s165,s132,s429,s558,s1176,s157,s791,s291,s611,s53,s58,s30,s3269,s216,s926,s76,s2003,s81,s438,s105,s224,s88,s3203,s3180]) ).

cnf(s3284,plain,
    ( ~ spl15_18
    | spl15_12
    | spl15_74
    | spl15_85
    | spl15_4 ),
    inference(rat,[],[s165,s490,s1764]) ).

cnf(s3285,plain,
    ( spl15_49
    | spl15_41
    | spl15_46
    | ~ spl15_8
    | spl15_10
    | spl15_52
    | spl15_85
    | ~ spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s117,s487,s30,s132,s55,s681,s167,s3284,s1721,s176,s200,s563,s129,s138,s3283,s292,s742,s1769,s169,s3210,s318,s442,s1190,s1846,s3274,s386,s76,s2003,s81,s438,s105,s224,s88,s1426,s917,s566,s519,s122,s98,s50,s3203,s3180]) ).

cnf(s3286,plain,
    ( ~ spl15_100
    | spl15_93
    | spl15_41
    | spl15_46
    | spl15_39
    | spl15_47
    | spl15_51
    | spl15_101
    | spl15_112
    | spl15_52
    | spl15_85
    | ~ spl15_118 ),
    inference(rat,[],[s3268,s2476,s392,s926,s386,s76,s2003,s105,s224,s608,s170,s438]) ).

cnf(s3287,plain,
    ( spl15_41
    | spl15_46
    | ~ spl15_8
    | spl15_10
    | spl15_52
    | spl15_85
    | ~ spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s33,s1562,s884,s167,s159,s885,s563,s571,s138,s3286,s1728,s518,s442,s107,s109,s111,s112,s3285,s2003,s759,s1426,s917,s566,s519,s122,s98,s50]) ).

cnf(s3288,plain,
    ( ~ spl15_41
    | spl15_113
    | spl15_10
    | ~ spl15_6
    | spl15_5 ),
    inference(rat,[],[s685,s167,s1721,s563,s1236,s138,s144,s164,s2417,s337,s216,s244,s683,s3230,s61,s63,s64]) ).

cnf(s3289,plain,
    ( ~ spl15_93
    | spl15_57
    | spl15_12
    | spl15_59
    | spl15_73
    | spl15_70
    | spl15_101
    | spl15_10
    | spl15_52
    | spl15_85
    | spl15_97
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s672,s165,s167,s244,s3284,s1727,s292,s32,s169,s162,s2358,s442,s1190]) ).

cnf(s3290,plain,
    ( ~ spl15_18
    | spl15_12
    | spl15_85
    | spl15_4 ),
    inference(rat,[],[s3284,s269]) ).

cnf(s3291,plain,
    ( spl15_52
    | spl15_85
    | ~ spl15_118
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s33,s884,s969,s1562,s141,s167,s3290,s242,s170,s1728,s3289,s249,s178,s1721,s135,s885,s200,s250,s239,s281,s90,s93,s94,s3287,s3288,s519,s566,s917,s1426,s172,s3279,s2193,s3282,s3281,s2003,s438,s386]) ).

cnf(s3292,plain,
    ( ~ spl15_10
    | ~ spl15_52
    | spl15_45
    | ~ spl15_118 ),
    inference(rat,[],[s140,s3278,s3220,s170,s93,s48,s96,s174,s405,s407,s417,s438,s76,s2003,s105,s224,s2402,s301,s123,s2376]) ).

cnf(s3293,plain,
    ( ~ spl15_8
    | ~ spl15_52
    | ~ spl15_118 ),
    inference(rat,[],[s312,s169,s170,s566,s1426,s438,s386,s3064,s2402]) ).

cnf(s3294,plain,
    ( ~ spl15_41
    | spl15_13
    | spl15_108
    | spl15_10
    | spl15_5 ),
    inference(rat,[],[s239,s166,s327,s167,s337,s3230,s61,s63]) ).

cnf(s3295,plain,
    ~ spl15_47,
    inference(rat,[],[s97,s100]) ).

cnf(s3296,plain,
    ( ~ spl15_109
    | spl15_39
    | spl15_46
    | ~ spl15_52
    | spl15_45
    | ~ spl15_118
    | ~ spl15_6
    | spl15_5 ),
    inference(rat,[],[s144,s685,s5,s337,s244,s3294,s63,s64,s28,s46,s395,s608,s76,s2003,s81,s438,s105,s224,s56,s112,s3064,s118,s2402,s123,s2376,s3292,s3180,s3203,s3295]) ).

cnf(s3297,plain,
    ( spl15_39
    | spl15_46
    | ~ spl15_52
    | spl15_85
    | ~ spl15_118
    | ~ spl15_6
    | spl15_5 ),
    inference(rat,[],[s3201,s3249,s3230,s28,s45,s313,s169,s241,s401,s170,s3296,s386,s76,s2003,s81,s438,s105,s224,s56,s112,s3064,s118,s2402,s123,s2376,s3292,s88,s3180,s3203,s3295]) ).

cnf(s3298,plain,
    ( spl15_16
    | spl15_95
    | spl15_115
    | ~ spl15_39
    | spl15_46
    | spl15_10
    | ~ spl15_52
    | spl15_85
    | spl15_43 ),
    inference(rat,[],[s3186,s1012,s690,s140,s204,s149,s3230,s3210,s3188,s3064,s301,s49,s47,s311,s52,s290,s51,s3203,s3295]) ).

cnf(s3299,plain,
    ( spl15_46
    | ~ spl15_52
    | spl15_85
    | ~ spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_1 ),
    inference(rat,[],[s601,s3298,s247,s847,s169,s167,s292,s338,s49,s51,s52,s3297,s386,s76,s2003,s3064,s3292,s88]) ).

cnf(s3300,plain,
    ( spl15_85
    | ~ spl15_118
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s33,s884,s969,s1562,s141,s167,s3290,s242,s1721,s170,s885,s200,s239,s288,s401,s93,s94,s3299,s1728,s2402,s3291,s3281,s2003,s438]) ).

cnf(s3301,plain,
    ( ~ spl15_18
    | ~ spl15_10
    | spl15_51
    | spl15_112
    | spl15_16
    | spl15_52
    | spl15_39
    | spl15_46
    | spl15_105
    | ~ spl15_118 ),
    inference(rat,[],[s45,s25,s313,s53,s150,s117,s131,s442,s3278,s528,s632,s3274,s163,s61,s85,s109,s270,s2340,s76,s2003,s81,s438,s105,s224,s417,s3180,s3203,s3295]) ).

cnf(s3302,plain,
    ( ~ spl15_10
    | spl15_51
    | spl15_112
    | spl15_16
    | spl15_52
    | spl15_39
    | spl15_87
    | spl15_96
    | spl15_105
    | spl15_73
    | ~ spl15_118
    | ~ spl15_6
    | spl15_5 ),
    inference(rat,[],[s3276,s744,s2358,s158,s139,s1886,s23,s337,s404,s144,s163,s685,s5,s841,s847,s167,s3301,s472,s174,s417,s875,s2003,s94]) ).

cnf(s3303,plain,
    ( ~ spl15_18
    | spl15_41
    | ~ spl15_102
    | spl15_51
    | spl15_112
    | spl15_52
    | spl15_39
    | spl15_87
    | spl15_105
    | ~ spl15_118 ),
    inference(rat,[],[s32,s883,s1362,s190,s133,s166,s131,s2358,s319,s442,s842,s233,s3274,s965,s159,s109,s338,s1855,s759,s76,s2003,s94,s767,s87,s874,s3295]) ).

cnf(s3304,plain,
    ( spl15_52
    | spl15_39
    | spl15_55
    | spl15_101
    | spl15_87
    | spl15_96
    | spl15_22
    | spl15_89
    | spl15_105
    | spl15_100
    | spl15_73
    | ~ spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s31,s306,s505,s157,s3269,s113,s769,s27,s169,s3229,s442,s1190,s1728,s33,s283,s884,s311,s969,s144,s159,s1562,s685,s55,s681,s847,s167,s3303,s1721,s46,s87,s885,s200,s767,s874,s138,s3288,s137,s3302,s122,s917,s1426,s172,s2193,s3282,s759,s386,s76,s2003,s81,s438,s105,s224,s94,s3180,s3203,s3295]) ).

cnf(s3305,plain,
    ( ~ spl15_18
    | spl15_38
    | ~ spl15_52
    | spl15_39
    | spl15_46
    | spl15_48
    | spl15_44
    | spl15_43 ),
    inference(rat,[],[s28,s61,s85,s56,s112,s3064,s118,s2402,s123,s2376,s3180,s3203,s3295]) ).

cnf(s3306,plain,
    ( ~ spl15_118
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s329,s208,s3276,s138,s133,s162,s571,s84,s87,s28,s63,s283,s337,s396,s144,s168,s2072,s685,s5,s247,s841,s167,s3305,s45,s405,s313,s346,s742,s154,s123,s118,s169,s112,s3293,s56,s2376,s2402,s3064,s3304,s51,s94,s1080,s182,s379,s380,s385,s403,s431,s448,s959,s1094,s3300,s105,s81,s76,s224,s386,s438,s2003,s3281,s3180,s3203,s3295]) ).

cnf(s3307,plain,
    ( spl15_13
    | spl15_114
    | spl15_94
    | spl15_73
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s1764,s148,s167]) ).

cnf(s3308,plain,
    ( ~ spl15_10
    | spl15_46
    | spl15_52
    | spl15_85
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s27,s45,s117,s1086,s487,s165,s132,s103,s672,s681,s3307,s842,s1846,s428,s81,s156,s153,s382,s434,s321,s1872,s176,s402,s169,s57,s154,s129,s110,s359,s601,s1053,s1528,s172,s3280,s48,s72,s120,s405,s407,s577,s3244,s3306,s88,s3180,s3203,s3295]) ).

cnf(s3309,plain,
    ( ~ spl15_73
    | spl15_40
    | spl15_79
    | spl15_44
    | spl15_51
    | spl15_49
    | spl15_112
    | spl15_15
    | spl15_39
    | spl15_10
    | spl15_46
    | spl15_52
    | spl15_45
    | spl15_41
    | spl15_118 ),
    inference(rat,[],[s3233,s30,s137,s106,s73,s239,s1872,s1873,s3210,s3203,s3295,s3180]) ).

cnf(s3310,plain,
    ( ~ spl15_93
    | spl15_39
    | spl15_13
    | spl15_10
    | spl15_46
    | spl15_52
    | spl15_85
    | spl15_118
    | spl15_5
    | spl15_4
    | spl15_2 ),
    inference(rat,[],[s3290,s1577,s167,s3309,s57,s769,s2549,s246,s382,s152,s81,s124,s3225,s212,s218,s318,s442,s842,s1190,s3244,s88]) ).

cnf(s3311,plain,
    ( ~ spl15_8
    | spl15_18
    | spl15_112
    | ~ spl15_73
    | spl15_39
    | spl15_10
    | spl15_46
    | spl15_52
    | spl15_85
    | spl15_118
    | spl15_5
    | spl15_4 ),
    inference(rat,[],[s3236,s3227,s566,s917,s1873,s1872,s121,s73,s3295]) ).

cnf(s3312,plain,
    ( spl15_8
    | spl15_112
    | spl15_88
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s601,s154,s172]) ).

cnf(s3313,plain,
    ( ~ spl15_18
    | spl15_85
    | ~ spl15_6
    | spl15_4 ),
    inference(rat,[],[s1721,s3290,s270]) ).

cnf(s3314,plain,
    ( spl15_112
    | ~ spl15_73
    | spl15_39
    | spl15_10
    | spl15_46
    | spl15_52
    | spl15_18
    | spl15_85
    | spl15_118
    | spl15_5
    | spl15_4
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3311,s3312,s1872]) ).

cnf(s3315,plain,
    ( ~ spl15_73
    | spl15_39
    | spl15_10
    | spl15_46
    | spl15_52
    | spl15_18
    | spl15_85
    | spl15_118
    | spl15_5
    | spl15_4
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s57,s3258,s110,s359,s985,s81,s172,s206,s241,s1426,s3314,s118,s3310,s2266,s1872,s3244]) ).

cnf(s3316,plain,
    ( ~ spl15_8
    | spl15_112
    | spl15_51
    | spl15_39
    | spl15_10
    | spl15_46
    | spl15_52
    | spl15_18
    | spl15_85
    | spl15_118
    | spl15_5
    | spl15_4
    | spl15_1 ),
    inference(rat,[],[s3236,s3227,s74,s519,s566,s587,s917,s3295]) ).

cnf(s3317,plain,
    ( spl15_112
    | spl15_39
    | spl15_46
    | spl15_52
    | spl15_85
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s743,s165,s3262,s382,s435,s1190,s169,s168,s156,s323,s299,s359,s601,s987,s1053,s1528,s3312,s172,s3316,s847,s672,s240,s685,s5,s124,s247,s167,s3315,s3308,s3306,s3313,s3281]) ).

cnf(s3318,plain,
    ( spl15_39
    | spl15_46
    | spl15_52
    | spl15_85
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1053,s1528,s156,s172,s218,s1426,s3317,s247,s167,s3315,s3306,s3313,s3281,s3308]) ).

cnf(s3319,plain,
    ( spl15_46
    | spl15_52
    | spl15_85
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3262,s435,s578,s218,s1190,s168,s169,s129,s156,s685,s240,s247,s847,s601,s1053,s1528,s1721,s167,s172,s290,s292,s310,s311,s969,s47,s49,s50,s51,s52,s3318,s3308,s3313,s3281]) ).

cnf(s3320,plain,
    ( ~ spl15_46
    | spl15_18
    | spl15_118
    | ~ spl15_6
    | spl15_5 ),
    inference(rat,[],[s2426,s11,s296,s168,s685,s240,s143,s1721,s167,s184,s200,s239,s288,s93,s94]) ).

cnf(s3321,plain,
    ( ~ spl15_10
    | ~ spl15_52
    | spl15_46
    | spl15_18
    | spl15_45
    | spl15_41 ),
    inference(rat,[],[s938,s3276,s32,s222,s636,s472,s142,s170,s476,s1086,s864,s608,s609,s744,s140,s45,s46,s3220,s28,s48,s72,s174,s405,s406,s407,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3295,s3180,s3203]) ).

cnf(s3322,plain,
    ( ~ spl15_73
    | spl15_112
    | spl15_39
    | spl15_10
    | ~ spl15_52
    | spl15_46
    | spl15_45
    | spl15_41 ),
    inference(rat,[],[s46,s767,s28,s137,s73,s239,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3180,s3203,s3295]) ).

cnf(s3324,plain,
    ( ~ spl15_38
    | ~ spl15_13
    | spl15_112
    | spl15_10
    | spl15_91
    | spl15_18 ),
    inference(rat,[],[s159,s2426,s3194,s11,s1562,s296,s288,s142,s137,s315,s1086,s609,s767,s900,s3210,s45,s46,s681]) ).

cnf(s3325,plain,
    ( spl15_112
    | spl15_39
    | ~ spl15_52
    | spl15_46
    | spl15_18
    | spl15_85
    | spl15_41
    | spl15_5 ),
    inference(rat,[],[s162,s350,s3191,s170,s165,s532,s534,s1999,s75,s76,s28,s3324,s672,s167,s3322,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3321,s88,s3180,s3203,s3295]) ).

cnf(s3326,plain,
    ( ~ spl15_73
    | ~ spl15_112
    | spl15_39
    | spl15_10
    | ~ spl15_52
    | spl15_46
    | spl15_45
    | spl15_41 ),
    inference(rat,[],[s207,s329,s138,s3276,s392,s744,s2072,s45,s46,s3249,s327,s28,s3182,s73,s563,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s401,s3180,s3203,s3295]) ).

cnf(s3327,plain,
    ( spl15_39
    | ~ spl15_52
    | spl15_46
    | spl15_18
    | spl15_85
    | spl15_118
    | spl15_5
    | spl15_2 ),
    inference(rat,[],[s690,s157,s140,s71,s3191,s28,s45,s743,s1086,s165,s672,s847,s167,s3326,s382,s435,s152,s206,s3325,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3321,s88,s3244,s3180,s3203,s3295]) ).

cnf(s3328,plain,
    ( spl15_85
    | spl15_5
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3188,s298,s140,s170,s1012,s434,s481,s3092,s169,s163,s138,s316,s289,s323,s962,s168,s171,s685,s247,s847,s1721,s167,s290,s292,s310,s420,s47,s49,s51,s52,s3327,s3321,s301,s2376,s2402,s3064,s3319,s3320,s3313,s88,s3281,s3244,s3306]) ).

cnf(s3329,plain,
    ( ~ spl15_13
    | ~ spl15_10
    | spl15_52
    | spl15_96
    | spl15_89
    | spl15_73
    | spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s890,s442,s33,s170,s2156,s639,s242,s420,s143,s145,s171,s2426,s587,s11,s172,s283,s532,s296,s987,s144,s168,s1562,s685,s5,s240,s247,s417,s405]) ).

cnf(s3330,plain,
    ( ~ spl15_93
    | spl15_108
    | spl15_13
    | ~ spl15_10
    | spl15_52
    | spl15_74
    | spl15_87
    | spl15_105
    | spl15_118
    | spl15_2 ),
    inference(rat,[],[s164,s481,s314,s472,s125,s3276,s744,s769,s158,s2549,s337,s286,s152,s166,s148,s2358,s212,s442,s842,s1846,s875,s407]) ).

cnf(s3331,plain,
    ( ~ spl15_109
    | spl15_44
    | spl15_50
    | spl15_45
    | spl15_49
    | spl15_43
    | spl15_51
    | spl15_52
    | spl15_39
    | spl15_46
    | spl15_48
    | spl15_41 ),
    inference(rat,[],[s30,s57,s46,s346,s608,s3203,s3295,s3180]) ).

cnf(s3332,plain,
    ( ~ spl15_81
    | spl15_93
    | spl15_45
    | spl15_49
    | spl15_108
    | ~ spl15_10
    | spl15_52
    | spl15_39
    | spl15_46
    | spl15_48
    | spl15_96
    | spl15_41 ),
    inference(rat,[],[s30,s41,s58,s127,s611,s434,s133,s170,s3331,s1727,s82,s497,s481,s499,s405,s120,s72,s118,s3203,s3295,s3180]) ).

cnf(s3333,plain,
    ( ~ spl15_10
    | spl15_52
    | spl15_74
    | spl15_87
    | spl15_96
    | spl15_22
    | spl15_89
    | spl15_105
    | spl15_73
    | spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1053,s1528,s172,s400,s156,s130,s654,s761,s163,s143,s3332,s3330,s85,s109,s270,s1855,s167,s3329,s417,s875,s3244,s106,s94,s51]) ).

cnf(s3334,plain,
    ( ~ spl15_13
    | spl15_10
    | spl15_52
    | spl15_89
    | spl15_100
    | spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_2 ),
    inference(rat,[],[s183,s143,s138,s2426,s917,s11,s172,s296,s987,s168,s685,s5,s240]) ).

cnf(s3335,plain,
    ( ~ spl15_93
    | spl15_57
    | spl15_72
    | spl15_108
    | spl15_52
    | spl15_87
    | spl15_118
    | spl15_2 ),
    inference(rat,[],[s883,s32,s246,s1362,s152,s133,s166,s2358,s212,s319,s842]) ).

cnf(s3336,plain,
    ( spl15_82
    | spl15_51
    | spl15_93
    | spl15_112
    | spl15_45
    | spl15_49
    | spl15_52
    | spl15_39
    | spl15_46
    | spl15_48
    | spl15_41
    | spl15_2 ),
    inference(rat,[],[s74,s172,s3331,s298,s170,s81,s118]) ).

cnf(s3337,plain,
    ( spl15_51
    | spl15_93
    | spl15_57
    | spl15_72
    | spl15_112
    | spl15_45
    | spl15_49
    | spl15_108
    | spl15_52
    | spl15_39
    | spl15_87
    | spl15_96
    | spl15_22
    | spl15_89
    | spl15_41
    | spl15_5
    | spl15_2 ),
    inference(rat,[],[s157,s742,s53,s57,s507,s30,s1727,s82,s32,s357,s938,s133,s144,s166,s75,s636,s198,s532,s3336,s106,s94,s46,s118,s3203,s3295,s3180]) ).

cnf(s3338,plain,
    ( spl15_112
    | spl15_45
    | spl15_49
    | spl15_75
    | spl15_108
    | spl15_10
    | spl15_52
    | spl15_39
    | spl15_87
    | spl15_96
    | spl15_22
    | spl15_89
    | spl15_118
    | spl15_5
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3312,s321,s122,s124,s3337,s3335,s965,s767,s137,s3244]) ).

cnf(s3339,plain,
    ( ~ spl15_38
    | spl15_56
    | spl15_79
    | spl15_30
    | spl15_77
    | ~ spl15_85 ),
    inference(rat,[],[s306,s31,s157,s454,s744,s45,s46,s403,s1080,s1094]) ).

cnf(s3340,plain,
    ( spl15_72
    | spl15_92
    | spl15_78
    | spl15_115
    | spl15_109
    | ~ spl15_112
    | spl15_108 ),
    inference(rat,[],[s14,s2129,s2152,s140,s2109,s133,s158,s982]) ).

cnf(s3341,plain,
    ( spl15_69
    | spl15_56
    | spl15_79
    | spl15_30
    | spl15_77
    | spl15_76
    | ~ spl15_85 ),
    inference(rat,[],[s31,s306,s454,s157,s125,s403,s182,s1080,s1094]) ).

cnf(s3342,plain,
    ( spl15_52
    | ~ spl15_85
    | spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s14,s2129,s2152,s133,s161,s744,s970,s3341,s1268,s246,s435,s298,s299,s359,s152,s172,s206,s218,s1426,s3338,s85,s109,s338,s1855,s167,s3334,s3333,s1094,s959,s448,s431,s403,s385,s380,s51,s182]) ).

cnf(s3343,plain,
    ( spl15_112
    | spl15_10
    | spl15_56
    | spl15_79
    | spl15_30
    | spl15_98
    | spl15_82
    | spl15_77
    | spl15_107
    | spl15_93
    | ~ spl15_85 ),
    inference(rat,[],[s969,s3341,s159,s346,s874,s170,s137,s380]) ).

cnf(s3344,plain,
    ( ~ spl15_13
    | spl15_92
    | spl15_94
    | spl15_93
    | spl15_91
    | ~ spl15_85
    | spl15_118
    | ~ spl15_6
    | spl15_5
    | spl15_2 ),
    inference(rat,[],[s33,s890,s639,s192,s171,s130,s962,s982,s3343,s393,s407,s164,s2156,s481,s143,s1268,s246,s435,s2426,s152,s11,s283,s532,s296,s291,s1425,s144,s168,s1562,s685,s5,s247,s681,s431,s403,s385]) ).

cnf(s3345,plain,
    ( spl15_5
    | spl15_4
    | spl15_1
    | spl15_2
    | spl15_3 ),
    inference(rat,[],[s164,s407,s314,s3210,s45,s28,s75,s279,s357,s168,s327,s85,s2339,s3307,s167,s3344,s123,s118,s112,s56,s80,s301,s2376,s2402,s3064,s3342,s51,s94,s106,s182,s380,s431,s1094,s3328,s3244,s3306,s3281,s3295,s3203,s3180]) ).

cnf(s3346,plain,
    ( ~ spl15_10
    | spl15_85
    | spl15_52
    | spl15_119
    | spl15_80
    | spl15_81
    | spl15_96
    | spl15_114
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3275,s2358,s1846,s156,s321,s3312,s519,s168,s464,s465,s165,s395,s396,s540,s542,s609,s166,s472,s405,s406,s875]) ).

cnf(s3347,plain,
    ( spl15_89
    | spl15_40
    | spl15_79
    | spl15_44
    | spl15_51
    | spl15_41
    | spl15_60
    | spl15_109
    | spl15_106
    | spl15_85
    | spl15_52
    | spl15_43
    | spl15_49
    | spl15_38
    | spl15_46
    | spl15_50 ),
    inference(rat,[],[s249,s32,s158,s883,s250,s1143,s133,s146,s540,s900,s49,s51,s52,s30,s106,s88,s3203,s3295,s3180]) ).

cnf(s3348,plain,
    ( ~ spl15_93
    | spl15_112
    | spl15_85
    | spl15_52
    | spl15_114
    | ~ spl15_5
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s159,s1180,s969,s21,s157,s515,s369,s243,s573,s137,s166,s148,s3312,s288,s428,s519,s3347,s57,s769,s2549,s246,s435,s152,s81,s124,s3230,s2358,s212,s318,s319,s442,s1190,s1846,s979,s272,s115,s91,s43,s3225,s186,s76,s3346,s271,s333,s482,s484]) ).

cnf(s3349,plain,
    ( ~ spl15_108
    | spl15_89
    | spl15_85
    | ~ spl15_5 ),
    inference(rat,[],[s446,s168,s165,s396,s540,s484,s271]) ).

cnf(s3350,plain,
    ( spl15_82
    | spl15_51
    | spl15_39
    | spl15_48
    | spl15_93
    | spl15_112
    | spl15_45
    | spl15_52
    | spl15_49
    | spl15_46
    | spl15_118
    | spl15_2 ),
    inference(rat,[],[s64,s246,s3336,s152]) ).

cnf(s3351,plain,
    ( spl15_74
    | spl15_108
    | spl15_48
    | spl15_93
    | spl15_112
    | spl15_18
    | spl15_85
    | spl15_52
    | spl15_43
    | spl15_49
    | spl15_38
    | spl15_46
    | spl15_50
    | spl15_118
    | spl15_96
    | spl15_2 ),
    inference(rat,[],[s140,s202,s78,s82,s30,s63,s460,s3350,s654,s58,s123,s156,s291,s464,s465,s1829,s142,s165,s51,s88,s3203,s3295,s3180]) ).

cnf(s3352,plain,
    ( spl15_82
    | spl15_39
    | spl15_48
    | spl15_93
    | spl15_112
    | spl15_45
    | spl15_52
    | spl15_49
    | spl15_46
    | spl15_118
    | spl15_2 ),
    inference(rat,[],[s172,s122,s298,s3350,s170]) ).

cnf(s3353,plain,
    ( ~ spl15_44
    | ~ spl15_82
    | spl15_67
    | spl15_76
    | spl15_69
    | spl15_59
    | spl15_93
    | spl15_10
    | spl15_52
    | spl15_114
    | spl15_2 ),
    inference(rat,[],[s441,s169,s1769,s566,s34,s172,s791,s299,s1790,s32,s883,s162,s139,s1302,s683,s78,s82,s892,s434,s636]) ).

cnf(s3354,plain,
    ( ~ spl15_51
    | spl15_112
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3312,s321,s122,s124]) ).

cnf(s3355,plain,
    ( spl15_39
    | spl15_67
    | spl15_76
    | spl15_69
    | spl15_59
    | spl15_48
    | spl15_51
    | spl15_93
    | spl15_112
    | spl15_10
    | spl15_45
    | spl15_52
    | spl15_43
    | spl15_49
    | spl15_38
    | spl15_46
    | spl15_50
    | spl15_118
    | spl15_114
    | spl15_2 ),
    inference(rat,[],[s30,s63,s3353,s460,s3352,s57,s3203,s3295,s3180]) ).

cnf(s3356,plain,
    ( spl15_8
    | spl15_93
    | spl15_112
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s156,s1053,s321,s1528,s3312,s172]) ).

cnf(s3357,plain,
    ( spl15_112
    | spl15_85
    | spl15_52
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1259,s168,s3355,s290,s292,s743,s250,s239,s3351,s166,s3349,s105,s50,s519,s587,s3356,s3354,s3348,s272,s115,s91,s43,s3225,s186,s76,s88,s3290,s266,s3346,s271,s333,s482,s484,s1391,s3345]) ).

cnf(s3358,plain,
    ( spl15_85
    | spl15_52
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s123,s30,s428,s51,s57,s3349,s540,s62,s359,s81,s166,s105,s172,s206,s401,s962,s1426,s3357,s88,s333,s115,s91,s43,s3225,s1391,s186,s76,s482,s3345,s3203,s3295,s3180]) ).

cnf(s3359,plain,
    ( ~ spl15_93
    | spl15_51
    | spl15_107
    | spl15_117
    | spl15_72
    | spl15_67
    | spl15_92
    | spl15_90
    | spl15_39
    | spl15_48
    | spl15_100
    | spl15_52
    | spl15_43
    | spl15_49
    | spl15_38
    | spl15_46
    | spl15_50
    | spl15_118
    | spl15_2 ),
    inference(rat,[],[s1302,s34,s164,s332,s791,s1769,s917,s158,s149,s172,s874,s86,s87,s314,s30,s161,s64,s246,s53,s690,s745,s152,s81,s132,s212,s318,s1846,s3203,s3295,s3180]) ).

cnf(s3360,plain,
    ( ~ spl15_76
    | spl15_61
    | spl15_75
    | spl15_26
    | spl15_88
    | spl15_18
    | spl15_63
    | spl15_22
    | spl15_52
    | spl15_118 ),
    inference(rat,[],[s33,s1239,s638,s507,s141,s171,s157,s703,s742]) ).

cnf(s3361,plain,
    ( spl15_76
    | spl15_45
    | spl15_41
    | spl15_97
    | spl15_70
    | ~ spl15_8
    | spl15_51
    | spl15_67
    | spl15_90
    | spl15_39
    | spl15_48
    | spl15_101
    | spl15_100
    | spl15_52
    | spl15_43
    | spl15_49
    | spl15_38
    | spl15_46
    | spl15_50 ),
    inference(rat,[],[s791,s970,s34,s161,s160,s1302,s683,s1749,s1769,s82,s441,s877,s30,s169,s57,s400,s3203,s3295,s3180]) ).

cnf(s3362,plain,
    ( spl15_102
    | ~ spl15_76
    | spl15_78
    | spl15_103
    | spl15_88
    | spl15_72
    | spl15_18
    | spl15_63
    | spl15_22
    | spl15_52
    | spl15_118 ),
    inference(rat,[],[s3360,s639,s192,s264,s130,s158]) ).

cnf(s3363,plain,
    ( spl15_45
    | spl15_97
    | spl15_78
    | spl15_70
    | spl15_88
    | ~ spl15_8
    | spl15_51
    | spl15_28
    | spl15_72
    | spl15_18
    | spl15_67
    | spl15_90
    | spl15_39
    | spl15_63
    | spl15_48
    | spl15_101
    | spl15_22
    | spl15_100
    | spl15_52
    | spl15_43
    | spl15_49
    | spl15_38
    | spl15_46
    | spl15_50
    | spl15_118 ),
    inference(rat,[],[s26,s54,s78,s162,s875,s3362,s3361,s400,s63,s3180,s3203,s3295]) ).

cnf(s3364,plain,
    ( spl15_112
    | spl15_52
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s31,s602,s454,s180,s2930,s157,s125,s169,s264,s3362,s158,s874,s83,s87,s3363,s434,s460,s892,s400,s587,s170,s3356,s3359,s3354,s272,s115,s91,s43,s3225,s76,s482,s959,s403,s379,s1080,s1094,s106,s51,s182,s462,s286,s1259,s148,s448,s186,s431,s2103,s992,s609,s542,s396,s395,s1180,s21,s369,s166,s380,s3358,s1391,s333,s3345]) ).

cnf(s3365,plain,
    ( spl15_52
    | spl15_4
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s33,s1239,s639,s141,s159,s969,s638,s3341,s171,s1268,s246,s435,s299,s359,s985,s152,s172,s206,s218,s962,s1426,s3364,s1180,s21,s369,s2103,s166,s992,s380,s3358,s1391,s979,s333,s272,s3345]) ).

cnf(s3366,plain,
    ( ~ spl15_41
    | spl15_119
    | spl15_2 ),
    inference(rat,[],[s151,s236,s683,s63,s64]) ).

cnf(s3367,plain,
    ( spl15_4
    | spl15_3
    | spl15_1
    | spl15_2 ),
    inference(rat,[],[s168,s2311,s290,s502,s51,s28,s3366,s88,s448,s148,s123,s56,s80,s104,s2376,s3365,s76,s3225,s43,s91,s115,s186,s271,s482,s1391,s3345,s3295,s3203,s3180]) ).

cnf(s3368,plain,
    ( spl15_100
    | spl15_74
    | spl15_101
    | spl15_113
    | spl15_112
    | spl15_10
    | spl15_18
    | ~ spl15_19
    | spl15_85
    | spl15_5 ),
    inference(rat,[],[s296,s142,s11,s220,s167,s137,s563,s515,s138,s129]) ).

cnf(s3369,plain,
    ( ~ spl15_93
    | ~ spl15_8
    | spl15_10
    | spl15_18
    | ~ spl15_19
    | ~ spl15_118
    | spl15_85
    | spl15_5
    | spl15_52 ),
    inference(rat,[],[s93,s3283,s578,s3368,s292,s742,s1769,s169,s112,s3210,s3230,s318,s442,s1190,s1846,s386,s1426,s917,s566,s519,s122,s50,s3295]) ).

cnf(s3370,plain,
    ( ~ spl15_41
    | spl15_108
    | spl15_113
    | spl15_10
    | spl15_16
    | spl15_63
    | ~ spl15_118
    | spl15_5 ),
    inference(rat,[],[s138,s3265,s216,s3288,s3294,s64]) ).

cnf(s3371,plain,
    ( spl15_46
    | spl15_41
    | spl15_93
    | spl15_39
    | spl15_51
    | spl15_101
    | spl15_113
    | spl15_112
    | spl15_10
    | spl15_63
    | ~ spl15_118
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s884,s33,s159,s885,s925,s518,s138,s129,s107,s111,s3286,s3331,s88,s759,s76,s2003,s81,s105,s224,s118,s1728,s170,s438,s3295]) ).

cnf(s3372,plain,
    ( ~ spl15_118
    | spl15_85
    | spl15_5
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s884,s743,s33,s141,s3368,s885,s200,s578,s93,s3371,s3370,s242,s395,s170,s1728,s3369,s50,s122,s566,s917,s1426,s172,s3279,s2193,s8,s1560,s3282,s1765,s386,s438,s2003,s3367]) ).

cnf(s3373,plain,
    ( ~ spl15_10
    | spl15_75
    | spl15_110
    | spl15_89
    | spl15_101
    | spl15_85
    | ~ spl15_4 ),
    inference(rat,[],[s2384,s159,s163,s681,s847,s1883,s925,s146,s129,s406,s417,s577]) ).

cnf(s3374,plain,
    ( ~ spl15_8
    | spl15_46
    | spl15_39
    | spl15_40
    | spl15_101
    | spl15_79
    | spl15_96
    | spl15_44
    | spl15_49
    | spl15_95
    | spl15_15
    | spl15_51
    | spl15_112
    | spl15_118
    | spl15_85
    | spl15_5
    | spl15_52
    | ~ spl15_4
    | spl15_1 ),
    inference(rat,[],[s144,s281,s685,s146,s167,s3309,s3373,s1721,s2807,s420,s628,s2340,s171,s519,s587,s88,s3244]) ).

cnf(s3375,plain,
    ( ~ spl15_10
    | spl15_71
    | spl15_48
    | spl15_46
    | spl15_39
    | spl15_40
    | spl15_79
    | spl15_44
    | spl15_49
    | spl15_51
    | spl15_41
    | spl15_45
    | spl15_52 ),
    inference(rat,[],[s117,s1828,s30,s161,s72,s577,s45,s3203,s3295,s3180]) ).

cnf(s3376,plain,
    ( ~ spl15_13
    | spl15_86
    | spl15_84
    | spl15_73
    | spl15_77
    | spl15_117
    | spl15_68
    | spl15_46
    | spl15_39
    | spl15_101
    | spl15_76
    | spl15_79
    | spl15_96
    | spl15_30
    | spl15_44
    | spl15_49
    | spl15_15
    | spl15_51
    | spl15_112
    | spl15_41
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s5,s685,s3261,s168,s3262,s3375,s743,s1086,s165,s103,s240,s672,s847,s88,s57]) ).

cnf(s3377,plain,
    ( ~ spl15_10
    | spl15_104
    | spl15_75
    | spl15_108
    | spl15_77
    | spl15_101
    | spl15_76
    | spl15_79
    | spl15_95
    | spl15_91
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s126,s864,s970,s3245,s161,s129,s577]) ).

cnf(s3378,plain,
    ( spl15_89
    | spl15_10
    | spl15_73
    | spl15_46
    | spl15_101
    | spl15_76
    | spl15_79
    | spl15_44
    | spl15_49
    | spl15_60
    | spl15_109
    | spl15_15
    | spl15_106
    | spl15_51
    | spl15_41
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s3347,s3228,s75,s250,s281,s146,s57,s3210]) ).

cnf(s3379,plain,
    ( spl15_46
    | spl15_39
    | ~ spl15_93
    | spl15_112
    | spl15_85
    | spl15_5
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3335,s965,s767,s137,s288,s3378,s3377,s1829,s165,s269,s338,s1855,s167,s3376,s323,s573,s1872,s299,s987,s1528,s3312,s172,s3374,s3367,s3244,s3354,s1846,s1190,s319,s2358,s112,s81,s435,s382,s246,s698,s318,s57,s769,s2549,s152,s212,s3372,s442]) ).

cnf(s3380,plain,
    ( ~ spl15_46
    | spl15_82
    | spl15_118
    | spl15_5 ),
    inference(rat,[],[s234,s143,s135,s184,s281,s90,s93,s94]) ).

cnf(s3381,plain,
    ( ~ spl15_93
    | spl15_112
    | spl15_85
    | spl15_5
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3262,s847,s323,s1528,s167,s3378,s3312,s172,s311,s338,s969,s48,s49,s50,s52,s3379,s3380,s698,s769,s2549,s246,s435,s152,s81,s112,s2358,s212,s318,s319,s442,s1190,s1846,s3244,s3372,s3354]) ).

cnf(s3382,plain,
    ( ~ spl15_10
    | spl15_89
    | spl15_101
    | spl15_88
    | spl15_118
    | spl15_85
    | ~ spl15_4 ),
    inference(rat,[],[s3373,s420,s628,s171,s247,s1883,s146,s406]) ).

cnf(s3383,plain,
    ( spl15_13
    | spl15_18
    | spl15_5
    | ~ spl15_4 ),
    inference(rat,[],[s167,s1883]) ).

cnf(s3384,plain,
    ( ~ spl15_13
    | spl15_46
    | spl15_10
    | spl15_39
    | spl15_43
    | spl15_89
    | spl15_88
    | spl15_50
    | spl15_51
    | spl15_118
    | spl15_45
    | spl15_5
    | spl15_52
    | ~ spl15_4
    | spl15_2 ),
    inference(rat,[],[s134,s108,s1425,s27,s168,s45,s685,s387,s3334,s5,s2807,s628,s171,s55,s79,s240,s247,s3244,s105,s3180,s3203,s3295]) ).

cnf(s3385,plain,
    ( ~ spl15_79
    | spl15_72
    | spl15_99
    | spl15_78
    | spl15_64
    | spl15_115
    | spl15_63
    | spl15_110 ),
    inference(rat,[],[s33,s885,s1720,s163,s128,s499,s507]) ).

cnf(s3386,plain,
    ( spl15_46
    | spl15_39
    | spl15_43
    | spl15_89
    | spl15_101
    | spl15_88
    | spl15_93
    | spl15_51
    | spl15_112
    | spl15_118
    | spl15_85
    | spl15_5
    | spl15_52
    | ~ spl15_4
    | spl15_2 ),
    inference(rat,[],[s639,s33,s159,s2156,s530,s136,s127,s3385,s611,s58,s30,s82,s357,s762,s144,s45,s490,s313,s19,s169,s434,s460,s892,s1498,s638,s441,s654,s682,s3336,s171,s281,s2113,s109,s270,s338,s2340,s146,s3383,s1883,s3384,s88,s3244,s118,s105,s3382,s3203,s3295,s3180]) ).

cnf(s3387,plain,
    ( spl15_18
    | ~ spl15_46
    | spl15_88
    | spl15_118
    | spl15_5
    | ~ spl15_4 ),
    inference(rat,[],[s171,s247,s2807,s3383,s3320]) ).

cnf(s3388,plain,
    ( spl15_112
    | spl15_85
    | spl15_5
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s329,s357,s32,s162,s144,s864,s626,s490,s1720,s742,s19,s33,s169,s1498,s638,s441,s171,s2113,s2340,s3387,s143,s636,s434,s885,s184,s250,s239,s281,s3380,s90,s93,s94,s3386,s3382,s50,s74,s519,s566,s587,s3356,s3381,s3354,s3367,s3372]) ).

cnf(s3389,plain,
    ( ~ spl15_38
    | spl15_70
    | spl15_67
    | spl15_113
    | spl15_94
    | spl15_77
    | spl15_68
    | spl15_10
    | spl15_52 ),
    inference(rat,[],[s34,s1302,s1455,s164,s155,s2417,s314,s3210,s45]) ).

cnf(s3390,plain,
    ( spl15_85
    | spl15_5
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s639,s33,s130,s2156,s71,s76,s30,s3389,s283,s166,s447,s123,s165,s52,s1456,s316,s428,s433,s269,s338,s1855,s146,s2214,s3383,s1883,s1498,s638,s247,s57,s171,s382,s110,s299,s359,s985,s1528,s152,s81,s118,s94,s105,s172,s206,s218,s401,s405,s962,s982,s1426,s3388,s3244,s3372,s88,s3367,s3203,s3295,s3180]) ).

cnf(s3391,plain,
    ( ~ spl15_118
    | spl15_5
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s114,s27,s162,s3230,s87,s417,s571,s3229,s163,s1190,s2606,s170,s46,s685,s395,s542,s609,s168,s142,s296,s122,s1426,s11,s55,s240,s847,s172,s3248,s2193,s8,s81,s76,s3304,s3282,s1765,s386,s438,s2003,s3367,s959,s448,s403,s385,s379,s1080,s1094,s106,s431,s94,s380,s51,s182,s3390,s3180,s3203,s3295]) ).

cnf(s3392,plain,
    ( spl15_5
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s33,s884,s969,s2156,s114,s141,s163,s30,s2606,s46,s685,s609,s168,s142,s110,s987,s172,s3196,s87,s1161,s323,s421,s573,s171,s124,s1562,s55,s79,s240,s247,s847,s3209,s3248,s2807,s3342,s3244,s3391,s51,s94,s106,s182,s380,s431,s3390,s3367,s3203,s3295,s3180]) ).

cnf(s3393,plain,
    ( spl15_85
    | spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s130,s192,s47,s52,s30,s81,s105,s206,s962,s982,s110,s3356,s172,s433,s519,s168,s57,s290,s292,s165,s88,s484,s115,s91,s43,s842,s447,s76,s482,s3366,s271,s123,s569,s1496,s3392,s3367,s3203,s3295,s3180]) ).

cnf(s3394,plain,
    ( ~ spl15_10
    | spl15_64
    | spl15_91
    | spl15_115
    | spl15_103
    | spl15_77
    | spl15_63
    | spl15_55
    | spl15_101
    | spl15_22
    | spl15_105
    | spl15_81 ),
    inference(rat,[],[s31,s306,s769,s131,s169,s505,s190,s246,s1239,s33,s639,s192,s1445,s163,s130,s472,s417,s875]) ).

cnf(s3395,plain,
    ( spl15_52
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s884,s969,s33,s159,s885,s874,s138,s137,s3394,s638,s441,s654,s682,s171,s400,s587,s917,s1426,s172,s291,s987,s992,s168,s1080,s379,s380,s403,s431,s959,s3393,s2807,s1883,s447,s569,s2,s186,s271,s272,s482,s979,s1496,s3392,s3367]) ).

cnf(s3396,plain,
    ( ~ spl15_118
    | spl15_5
    | spl15_85
    | spl15_94
    | spl15_91
    | ~ spl15_4
    | spl15_1 ),
    inference(rat,[],[s3265,s601,s163,s169,s2606,s292,s540,s5,s165,s685,s383,s168,s296,s732,s11,s672,s847,s3383,s8,s1560,s1765,s386,s2003]) ).

cnf(s3397,plain,
    ( ~ spl15_18
    | spl15_88
    | spl15_89
    | spl15_118
    | spl15_85
    | ~ spl15_52 ),
    inference(rat,[],[s1829,s165,s140,s383,s3249,s654,s168,s171,s269,s2339,s2340,s2376,s301]) ).

cnf(s3399,plain,
    ( ~ spl15_75
    | spl15_63
    | spl15_95
    | spl15_115
    | spl15_118 ),
    inference(rat,[],[s2156,s1999,s33,s163,s1161,s323,s171,s884,s310,s420,s969]) ).

cnf(s3400,plain,
    ( spl15_18
    | spl15_112
    | spl15_89
    | spl15_118
    | spl15_5
    | spl15_85
    | ~ spl15_52
    | ~ spl15_4 ),
    inference(rat,[],[s323,s3387,s93,s3325,s52,s3399,s1562,s247,s847,s3383,s3244]) ).

cnf(s3401,plain,
    ( ~ spl15_18
    | spl15_89
    | spl15_41
    | spl15_118
    | spl15_85
    | ~ spl15_52 ),
    inference(rat,[],[s397,s160,s157,s611,s744,s41,s46,s243,s28,s75,s165,s93,s279,s383,s762,s323,s52,s168,s3397,s269,s338,s2339,s3032,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s88,s3180,s3203,s3295]) ).

cnf(s3402,plain,
    ( spl15_89
    | spl15_118
    | spl15_5
    | spl15_85
    | ~ spl15_52
    | ~ spl15_4
    | spl15_2 ),
    inference(rat,[],[s3327,s52,s3387,s3399,s962,s1562,s247,s847,s3400,s3383,s3401,s3244]) ).

cnf(s3403,plain,
    ( spl15_18
    | spl15_118
    | spl15_5
    | spl15_85
    | ~ spl15_52
    | ~ spl15_4
    | spl15_2 ),
    inference(rat,[],[s3188,s298,s139,s170,s1790,s532,s1181,s982,s166,s130,s540,s192,s311,s47,s51,s52,s841,s3327,s3383,s3064,s2402,s1873,s433,s94,s288,s3402]) ).

cnf(s3404,plain,
    ( spl15_88
    | spl15_112
    | spl15_116
    | spl15_8
    | spl15_118
    | spl15_93
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s152,s198,s1268,s150,s643,s601,s230,s171,s154]) ).

cnf(s3405,plain,
    ( spl15_82
    | spl15_64
    | spl15_84
    | spl15_112
    | spl15_63
    | spl15_74
    | spl15_75
    | spl15_108
    | spl15_87
    | spl15_113
    | spl15_41
    | spl15_118
    | spl15_85
    | ~ spl15_52
    | spl15_2 ),
    inference(rat,[],[s2161,s409,s33,s164,s159,s2156,s481,s2384,s283,s76,s166,s28,s447,s46,s165,s608,s382,s170,s152,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s88,s94,s52,s3180,s3203,s3295]) ).

cnf(s3406,plain,
    ( spl15_112
    | ~ spl15_18
    | spl15_87
    | spl15_113
    | spl15_8
    | spl15_41
    | spl15_118
    | spl15_85
    | ~ spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s45,s313,s3305,s169,s75,s434,s532,s3405,s1161,s289,s321,s573,s3404,s3064,s2402,s104,s80,s94,s2340,s1855,s269,s2113,s52,s338]) ).

cnf(s3407,plain,
    ( spl15_5
    | spl15_85
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1829,s165,s140,s382,s3249,s654,s152,s171,s206,s962,s3406,s269,s2340,s3403,s288,s316,s519,s3402,s3244,s3396,s3367,s3064,s2376,s301,s3395]) ).

cnf(s3408,plain,
    ( spl15_85
    | spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1294,s33,s140,s1161,s321,s690,s3404,s157,s982,s603,s1749,s992,s130,s160,s288,s433,s884,s192,s311,s168,s47,s50,s52,s290,s743,s28,s165,s2807,s3366,s76,s327,s447,s2,s43,s91,s271,s272,s482,s484,s1496,s3407,s88,s3367,s3032,s301,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3395,s3180,s3203,s3295]) ).

cnf(s3409,plain,
    ( ~ spl15_118
    | spl15_5
    | ~ spl15_85
    | ~ spl15_52
    | ~ spl15_4 ),
    inference(rat,[],[s3216,s324,s3230,s163,s3198,s2606,s5,s685,s168,s296,s11,s847,s3383,s405,s359,s8,s154,s169,s76,s3293,s1765,s224,s386,s2003,s3064,s2376,s1094,s431,s379,s94,s380,s51,s182,s3295]) ).

cnf(s3410,plain,
    ( spl15_18
    | spl15_5
    | ~ spl15_85
    | ~ spl15_52
    | ~ spl15_4
    | spl15_2 ),
    inference(rat,[],[s87,s3208,s45,s573,s3195,s315,s171,s141,s2807,s3399,s1562,s3344,s247,s847,s3383,s3064,s2402,s2376,s301,s959,s431,s1080,s1094,s94,s380,s51,s182,s3409,s3295]) ).

cnf(s3411,plain,
    ( ~ spl15_18
    | ~ spl15_85
    | ~ spl15_52 ),
    inference(rat,[],[s164,s407,s314,s3210,s45,s3305,s327,s75,s148,s279,s357,s1562,s168,s2103,s2339,s2376,s301,s104,s80,s448,s431,s94,s380,s51,s182]) ).

cnf(s3412,plain,
    ( spl15_3
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s690,s140,s132,s654,s682,s171,s573,s87,s28,s2807,s3366,s76,s327,s449,s2,s43,s271,s272,s482,s1496,s3410,s3411,s51,s94,s182,s380,s3408,s123,s118,s112,s56,s80,s104,s301,s2376,s2402,s3032,s3064,s3395,s3367,s3295,s3203,s3180]) ).

cnf(s3413,plain,
    ( ~ spl15_8
    | ~ spl15_118
    | ~ spl15_3 ),
    inference(rat,[],[s3,s1867]) ).

cnf(s3414,plain,
    ( ~ spl15_73
    | spl15_51
    | spl15_50
    | spl15_46
    | spl15_40
    | spl15_10
    | spl15_41
    | spl15_49
    | spl15_48
    | spl15_44
    | spl15_81
    | spl15_52
    | spl15_45 ),
    inference(rat,[],[s163,s326,s315,s3210,s45,s30,s49,s563,s76,s3203,s3295,s3180]) ).

cnf(s3415,plain,
    ( ~ spl15_38
    | spl15_113
    | spl15_10
    | spl15_98 ),
    inference(rat,[],[s1749,s164,s128,s2417,s314,s178,s3210,s41,s45,s46]) ).

cnf(s3416,plain,
    ( ~ spl15_118
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s130,s192,s47,s52,s30,s3415,s316,s433,s146,s3414,s124,s441,s118,s94,s169,s57,s218,s401,s405,s982,s62,s110,s359,s601,s3312,s172,s3413,s105,s81,s76,s224,s386,s438,s759,s2003,s3412,s88,s3203,s3295,s3180]) ).

cnf(s3417,plain,
    ( spl15_4
    | spl15_112
    | spl15_39
    | spl15_46
    | spl15_88
    | spl15_5
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3313,s3237,s3316,s3280,s3416,s3354,s3312]) ).

cnf(s3418,plain,
    ( spl15_112
    | spl15_39
    | spl15_46
    | spl15_88
    | spl15_89
    | spl15_5
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3374,s57,s246,s382,s703,s152,s81,s171,s112,s212,s318,s442,s1190,s3386,s3417,s74,s566,s3312,s3354,s3416]) ).

cnf(s3419,plain,
    ( spl15_39
    | spl15_46
    | spl15_88
    | spl15_89
    | spl15_5
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1883,s3258,s247,s57,s171,s110,s359,s985,s81,s118,s146,s172,s206,s218,s241,s401,s405,s1426,s3418,s3244,s3416]) ).

cnf(s3420,plain,
    ( ~ spl15_39
    | spl15_88
    | spl15_89
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s401,s146,s3312,s49,s50]) ).

cnf(s3421,plain,
    ( spl15_4
    | ~ spl15_8
    | ~ spl15_46
    | spl15_88
    | spl15_5
    | spl15_118
    | spl15_52
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s3320,s3313,s3237,s406,s94]) ).

cnf(s3422,plain,
    ( spl15_88
    | spl15_89
    | spl15_5
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s329,s683,s32,s162,s127,s864,s626,s490,s1720,s742,s19,s33,s169,s1498,s638,s441,s171,s2113,s2340,s3387,s3421,s566,s143,s3312,s636,s212,s434,s885,s184,s250,s239,s401,s406,s3380,s89,s90,s93,s94,s3419,s3420,s3416]) ).

cnf(s3423,plain,
    ( spl15_18
    | spl15_116
    | spl15_117
    | spl15_95
    | spl15_73
    | spl15_89
    | spl15_5
    | spl15_118 ),
    inference(rat,[],[s2606,s5,s141,s685,s3399,s168,s1562,s240,s847,s167]) ).

cnf(s3424,plain,
    ( spl15_4
    | ~ spl15_18
    | spl15_77
    | spl15_64
    | spl15_95
    | spl15_86
    | spl15_85 ),
    inference(rat,[],[s2161,s33,s147,s293,s2156,s1999,s1980,s383,s3267,s19,s165,s3313,s3290,s1764,s269,s2113]) ).

cnf(s3425,plain,
    ( ~ spl15_93
    | spl15_39
    | spl15_49
    | spl15_76
    | spl15_59
    | spl15_80
    | spl15_10
    | spl15_46
    | spl15_51
    | spl15_101
    | spl15_48
    | spl15_41
    | spl15_52
    | spl15_45 ),
    inference(rat,[],[s30,s81,s3228,s3210,s212,s1190,s75,s57,s3203,s3295,s3180]) ).

cnf(s3426,plain,
    ( ~ spl15_12
    | spl15_19
    | ~ spl15_18
    | spl15_86 ),
    inference(rat,[],[s163,s1980,s2609,s19,s270]) ).

cnf(s3427,plain,
    ( spl15_89
    | spl15_5
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s445,s156,s165,s3425,s490,s52,s3426,s8,s3424,s269,s338,s3423,s110,s299,s359,s985,s987,s250,s281,s406,s93,s172,s3354,s146,s1161,s289,s321,s323,s421,s962,s1872,s3422,s106,s88,s3244,s3416]) ).

cnf(s3428,plain,
    ( spl15_88
    | spl15_5
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s639,s33,s130,s2156,s71,s76,s30,s3389,s283,s166,s447,s52,s165,s2113,s269,s338,s1855,s382,s167,s1640,s152,s81,s118,s638,s247,s441,s206,s218,s405,s982,s171,s3312,s105,s88,s3244,s3416,s433,s316,s1456,s1873,s123,s428,s94,s288,s985,s299,s110,s57,s359,s172,s519,s3427,s3203,s3295,s3180]) ).

cnf(s3429,plain,
    ( ~ spl15_93
    | ~ spl15_13
    | spl15_39
    | spl15_86
    | spl15_84
    | spl15_112
    | spl15_101
    | spl15_46
    | spl15_51
    | ~ spl15_16
    | spl15_117
    | spl15_73
    | spl15_41
    | spl15_52
    | spl15_85 ),
    inference(rat,[],[s3376,s246,s382,s435,s1640,s169,s442,s1190,s359,s299,s110,s79]) ).

cnf(s3430,plain,
    ( ~ spl15_13
    | spl15_39
    | spl15_86
    | spl15_84
    | spl15_112
    | spl15_101
    | spl15_51
    | ~ spl15_16
    | spl15_117
    | spl15_87
    | spl15_73
    | spl15_41
    | spl15_52
    | spl15_85 ),
    inference(rat,[],[s46,s609,s30,s166,s75,s532,s170,s118,s3429,s79,s103,s841,s88,s94,s298,s110,s57,s359,s3203,s3295,s3180]) ).

cnf(s3431,plain,
    ( ~ spl15_18
    | spl15_64
    | spl15_95
    | spl15_86
    | spl15_112
    | spl15_77
    | spl15_76
    | spl15_101
    | spl15_87
    | spl15_118
    | spl15_52
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s3335,s965,s767,s137,s3377,s246,s169,s156,s465,s1829,s165,s490,s3426,s8,s3424,s269,s338,s1855]) ).

cnf(s3432,plain,
    ( spl15_5
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1640,s3262,s442,s603,s2417,s170,s151,s164,s279,s532,s481,s351,s166,s163,s133,s540,s310,s900,s969,s48,s51,s52,s3430,s841,s847,s167,s3431,s1161,s321,s323,s573,s962,s3428,s298,s299,s359,s601,s123,s172,s222,s288,s316,s428,s519,s1873,s3427,s3244,s3416]) ).

cnf(s3433,plain,
    ( spl15_114
    | spl15_76
    | spl15_95
    | spl15_18
    | spl15_112
    | spl15_39
    | spl15_89
    | spl15_48
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1259,s3355,s148,s743,s465,s3351,s250,s239,s156,s3225,s3346,s166,s3348,s88,s3416,s484,s333,s271,s186,s115,s91,s43,s76,s482,s3349,s3432,s3354]) ).

cnf(s3434,plain,
    ( spl15_95
    | spl15_18
    | spl15_112
    | spl15_89
    | spl15_88
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s2807,s2,s1391,s3433,s703,s171,s3416,s3432,s105,s3420]) ).

cnf(s3435,plain,
    ( spl15_18
    | spl15_112
    | spl15_89
    | spl15_88
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s169,s292,s434,s3351,s3336,s112,s318,s441,s3434,s88,s3416,s484,s115,s91,s43,s76,s482,s3366,s271,s105,s3349,s3432,s3420,s3354,s566,s3312]) ).

cnf(s3436,plain,
    ( ~ spl15_18
    | spl15_89
    | ~ spl15_5
    | spl15_85 ),
    inference(rat,[],[s446,s165,s168,s269,s2339,s484,s271]) ).

cnf(s3437,plain,
    ( spl15_89
    | spl15_88
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1391,s1883,s166,s146,s401,s3435,s3436,s3349,s333,s186,s3432]) ).

cnf(s3438,plain,
    ( spl15_88
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s130,s192,s47,s52,s30,s81,s57,s206,s982,s110,s359,s123,s3312,s172,s428,s433,s519,s3437,s105,s88,s115,s91,s43,s76,s482,s3366,s271,s3432,s3203,s3295,s3180]) ).

cnf(s3439,plain,
    ( spl15_89
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s31,s602,s2476,s157,s129,s900,s2930,s245,s47,s52,s156,s3433,s3348,s502,s743,s569,s142,s168,s3436,s3349,s106,s482,s271,s3432,s962,s321,s289,s987,s359,s172,s421,s3438]) ).

cnf(s3440,plain,
    ( spl15_114
    | spl15_52
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s445,s156,s148,s3348,s186,s3432,s962,s321,s3438,s428,s3439]) ).

cnf(s3441,plain,
    ( ~ spl15_83
    | spl15_55
    | spl15_71
    | spl15_78
    | spl15_56
    | spl15_104
    | spl15_103
    | spl15_77
    | spl15_84
    | spl15_81
    | spl15_98 ),
    inference(rat,[],[s602,s900,s31,s159,s2476,s518,s161,s160,s128,s683,s1749]) ).

cnf(s3442,plain,
    ( spl15_52
    | spl15_85
    | spl15_1
    | spl15_2 ),
    inference(rat,[],[s900,s158,s928,s515,s31,s157,s505,s603,s136,s151,s3441,s502,s743,s1086,s460,s892,s2930,s245,s877,s165,s170,s156,s447,s449,s842,s3440,s433,s3439,s298,s299,s172,s321,s421,s573,s962,s3438,s271,s482,s484,s979,s3432]) ).

cnf(s3443,plain,
    ( ~ spl15_118
    | spl15_18
    | spl15_89
    | spl15_5
    | spl15_112
    | ~ spl15_52
    | spl15_85
    | spl15_1 ),
    inference(rat,[],[s33,s884,s969,s1562,s141,s167,s885,s200,s239,s93,s94,s3299,s3218,s242,s298,s170,s1728,s3396,s3292,s438,s2003,s88,s3064,s2402,s2376]) ).

cnf(s3444,plain,
    ( spl15_18
    | spl15_39
    | spl15_95
    | spl15_88
    | spl15_89
    | spl15_5
    | spl15_112
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3218,s406,s3320,s94,s985,s3327,s171,s3402,s3443,s3442]) ).

cnf(s3445,plain,
    ( ~ spl15_18
    | spl15_88
    | spl15_89
    | spl15_5
    | ~ spl15_52
    | spl15_85
    | spl15_1 ),
    inference(rat,[],[s3313,s3259,s383,s3396,s168,s3397,s2339,s3064,s2376]) ).

cnf(s3446,plain,
    ( spl15_95
    | spl15_88
    | spl15_89
    | spl15_5
    | spl15_112
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s420,s52,s171,s3444,s3443,s3445,s3442]) ).

cnf(s3447,plain,
    ( spl15_88
    | spl15_89
    | spl15_5
    | spl15_112
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3327,s93,s49,s563,s167,s247,s3446,s3443,s3445,s3442]) ).

cnf(s3448,plain,
    ( spl15_89
    | spl15_5
    | spl15_112
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3399,s52,s1562,s847,s3327,s167,s3401,s3244,s93,s224,s321,s323,s1872,s3447,s3442]) ).

cnf(s3449,plain,
    ( ~ spl15_118
    | spl15_16
    | spl15_46
    | spl15_5
    | ~ spl15_52
    | spl15_85
    | spl15_1 ),
    inference(rat,[],[s3218,s3299,s3396,s3292,s88,s3064,s2376]) ).

cnf(s3450,plain,
    ( spl15_88
    | spl15_5
    | spl15_112
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s420,s52,s3404,s3325,s3406,s3244,s3449,s601,s154,s2402,s3442,s519,s316,s94,s288,s3448]) ).

cnf(s3451,plain,
    ( spl15_5
    | spl15_112
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s298,s170,s3188,s532,s139,s166,s1790,s540,s311,s1181,s841,s47,s51,s52,s137,s167,s3325,s3321,s3406,s3244,s224,s3450,s94,s288,s316,s519,s1873,s3448,s88,s3064,s2402,s3442]) ).

cnf(s3452,plain,
    ( spl15_112
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s1294,s33,s1749,s992,s160,s163,s288,s433,s1161,s321,s323,s168,s3404,s290,s884,s310,s311,s420,s969,s50,s51,s52,s28,s3366,s76,s43,s91,s271,s272,s482,s3451,s88,s3032,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3442,s3180,s3203,s3295]) ).

cnf(s3453,plain,
    ( ~ spl15_73
    | ~ spl15_112
    | ~ spl15_52
    | spl15_85 ),
    inference(rat,[],[s3201,s3249,s3326,s3182,s49,s88,s405,s94,s401]) ).

cnf(s3454,plain,
    ( ~ spl15_118
    | spl15_5
    | spl15_46
    | spl15_101
    | ~ spl15_52
    | spl15_85
    | spl15_1 ),
    inference(rat,[],[s359,s169,s3449,s386,s3064]) ).

cnf(s3455,plain,
    ( ~ spl15_18
    | spl15_96
    | spl15_118
    | spl15_88
    | ~ spl15_52
    | spl15_85 ),
    inference(rat,[],[s140,s1829,s3249,s654,s165,s171,s269,s2340,s301]) ).

cnf(s3456,plain,
    ( spl15_5
    | spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s420,s171,s52,s247,s3327,s167,s3455,s382,s152,s3454,s962,s241,s206,s94,s401,s3453,s3452,s3442]) ).

cnf(s3457,plain,
    ( spl15_85
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s130,s192,s47,s52,s28,s3366,s76,s43,s271,s482,s3456,s433,s146,s3453,s94,s401,s982,s3452,s123,s118,s112,s56,s80,s104,s2376,s2402,s3064,s3442,s88,s3180,s3203,s3295]) ).

cnf(s3459,plain,
    ( spl15_10
    | ~ spl15_13
    | spl15_118
    | spl15_43
    | spl15_113
    | spl15_88
    | spl15_51
    | spl15_112
    | spl15_5
    | spl15_52
    | ~ spl15_85
    | spl15_2 ),
    inference(rat,[],[s3334,s3222,s959,s431,s51,s182,s3295]) ).

cnf(s3460,plain,
    ( ~ spl15_13
    | spl15_88
    | spl15_112
    | spl15_5
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3238,s3329,s417,s3459,s1094,s959,s431,s385,s380,s3457,s3354,s917,s74,s3413,s3312,s3412]) ).

cnf(s3461,plain,
    ( spl15_88
    | spl15_112
    | spl15_5
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s163,s3332,s417,s318,s654,s3338,s171,s85,s109,s270,s338,s1855,s2340,s167,s3460,s3244,s3413,s3312,s3412,s1094,s403,s385,s106,s431,s94,s380,s51,s182,s3457]) ).

cnf(s3462,plain,
    ( spl15_112
    | spl15_5
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s158,s744,s449,s157,s166,s530,s460,s532,s143,s245,s3352,s3332,s156,s3330,s875,s1562,s3338,s2103,s338,s1855,s3423,s110,s985,s987,s3244,s172,s87,s224,s321,s421,s573,s3461,s1094,s448,s403,s385,s106,s431,s94,s380,s51,s182,s3457]) ).

cnf(s3463,plain,
    ( ~ spl15_118
    | spl15_41
    | spl15_45
    | spl15_49
    | spl15_77
    | spl15_76
    | spl15_44
    | spl15_50
    | spl15_52
    | ~ spl15_85 ),
    inference(rat,[],[s179,s3339,s41,s45,s30,s124,s2930,s441,s169,s76,s386,s2003,s379,s106,s431,s94,s380,s51,s182,s57,s3203,s3295,s3180]) ).

cnf(s3464,plain,
    ( spl15_5
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s2129,s14,s2152,s133,s161,s1855,s744,s970,s167,s3341,s247,s1268,s246,s435,s171,s152,s3463,s62,s86,s110,s298,s299,s359,s985,s81,s118,s172,s206,s218,s962,s1426,s3462,s1094,s959,s3457]) ).

cnf(s3465,plain,
    ( ~ spl15_93
    | spl15_76
    | spl15_51
    | spl15_41
    | spl15_43
    | spl15_38
    | spl15_50
    | spl15_13
    | spl15_118
    | spl15_80
    | spl15_52
    | spl15_39
    | spl15_101
    | spl15_87
    | spl15_22
    | spl15_89
    | spl15_105
    | spl15_100
    | spl15_2 ),
    inference(rat,[],[s233,s157,s3359,s83,s435,s396,s609,s1259,s286,s462,s30,s81,s169,s166,s148,s3225,s212,s442,s842,s106,s94,s57,s3203,s3295,s3180]) ).

cnf(s3466,plain,
    ( ~ spl15_44
    | spl15_60
    | spl15_78
    | spl15_70
    | spl15_56
    | spl15_104
    | ~ spl15_5
    | ~ spl15_85 ),
    inference(rat,[],[s938,s32,s3276,s864,s602,s472,s31,s162,s454,s345,s970,s161,s128,s683,s1749,s78,s82,s959,s431,s380,s1080,s1094,s979,s482]) ).

cnf(s3467,plain,
    ( ~ spl15_49
    | spl15_88
    | spl15_112
    | ~ spl15_5
    | ~ spl15_85 ),
    inference(rat,[],[s137,s767,s3240,s3234,s431,s380,s272,s186]) ).

cnf(s3468,plain,
    ( spl15_95
    | spl15_88
    | spl15_51
    | spl15_112
    | ~ spl15_5
    | spl15_52
    | ~ spl15_85
    | spl15_2 ),
    inference(rat,[],[s938,s32,s3276,s864,s602,s31,s472,s454,s180,s137,s157,s125,s874,s83,s87,s30,s3466,s636,s460,s892,s2930,s245,s877,s170,s156,s3465,s57,s242,s703,s171,s959,s448,s403,s379,s1080,s1094,s106,s431,s94,s380,s51,s182,s333,s272,s186,s115,s43,s76,s482,s3366,s271,s3467,s3203,s3295,s3180]) ).

cnf(s3469,plain,
    ( ~ spl15_10
    | ~ spl15_82
    | spl15_64
    | spl15_91
    | spl15_115
    | spl15_103
    | spl15_88
    | spl15_63
    | spl15_118
    | spl15_81
    | spl15_52
    | ~ spl15_85 ),
    inference(rat,[],[s611,s3362,s3394,s875,s448,s403,s1080,s1094,s2103,s460,s169,s434,s379]) ).

cnf(s3470,plain,
    ( ~ spl15_82
    | spl15_64
    | spl15_91
    | spl15_115
    | spl15_107
    | spl15_103
    | spl15_113
    | spl15_88
    | spl15_112
    | spl15_63
    | spl15_118
    | spl15_81
    | spl15_98
    | spl15_52
    | ~ spl15_85 ),
    inference(rat,[],[s884,s33,s159,s885,s874,s138,s137,s3469,s742,s169,s434,s959,s380,s379]) ).

cnf(s3471,plain,
    ( spl15_88
    | spl15_112
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s291,s3341,s142,s83,s1268,s246,s435,s346,s395,s3352,s152,s170,s3470,s638,s318,s441,s654,s682,s3468,s3467,s400,s917,s3312,s106,s431,s94,s51,s182,s979,s482,s272,s2103,s992,s3464,s380,s3457,s3354]) ).

cnf(s3472,plain,
    ( spl15_112
    | spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s3466,s2930,s877,s636,s460,s892,s156,s30,s170,s3465,s57,s110,s298,s359,s172,s87,s321,s421,s573,s3471,s3354,s959,s448,s403,s379,s106,s431,s94,s380,s51,s182,s3457,s333,s272,s186,s115,s43,s76,s482,s3366,s271,s3464,s3203,s3295,s3180]) ).

cnf(s3473,plain,
    ( spl15_52
    | spl15_2
    | spl15_1 ),
    inference(rat,[],[s33,s639,s1239,s159,s141,s969,s638,s682,s3341,s171,s1268,s246,s435,s299,s359,s985,s152,s172,s206,s218,s962,s1426,s3472,s2103,s992,s272,s979,s3464,s380,s3457]) ).

cnf(s3474,plain,
    ( spl15_51
    | spl15_45
    | spl15_39
    | spl15_43
    | spl15_44
    | spl15_49
    | spl15_40
    | spl15_52
    | spl15_46
    | spl15_38
    | spl15_41
    | spl15_48
    | spl15_50 ),
    inference(rat,[],[s30,s3180,s3295,s3203]) ).

cnf(s3476,plain,
    ( spl15_38
    | spl15_45
    | spl15_43
    | spl15_41
    | ~ spl15_52
    | spl15_50
    | spl15_44
    | spl15_40
    | spl15_51
    | spl15_48
    | spl15_49
    | spl15_39
    | spl15_46 ),
    inference(rat,[],[s28,s3295,s3203,s3180]) ).

cnf(s3477,plain,
    ( spl15_38
    | ~ spl15_13
    | spl15_46
    | spl15_45
    | spl15_43
    | spl15_40
    | spl15_39
    | spl15_41
    | spl15_50
    | spl15_44
    | spl15_51
    | spl15_48
    | spl15_49 ),
    inference(rat,[],[s27,s3295,s3203,s3180]) ).

cnf(s3485,plain,
    ( spl15_6
    | spl15_4
    | spl15_88
    | ~ spl15_52
    | spl15_51
    | spl15_39
    | spl15_43
    | spl15_113
    | spl15_112
    | spl15_101
    | spl15_118
    | spl15_89
    | spl15_5
    | spl15_16 ),
    inference(rat,[],[s3221,s3295]) ).

cnf(s3499,plain,
    ( ~ spl15_118
    | spl15_112
    | spl15_101
    | ~ spl15_52 ),
    inference(rat,[],[s154,s3293,s224]) ).

cnf(s3500,plain,
    ( spl15_88
    | spl15_6
    | spl15_95
    | spl15_4
    | spl15_5
    | spl15_112
    | spl15_39
    | spl15_101
    | spl15_89
    | ~ spl15_52 ),
    inference(rat,[],[s3485,s985,s74,s917,s171,s154,s123,s2376,s3499]) ).

cnf(s3501,plain,
    ( spl15_5
    | spl15_112
    | spl15_1
    | spl15_2 ),
    inference(rat,[],[s3324,s3321,s3476,s3196,s87,s573,s3500,s3344,s3244,s247,s167,s3410,s1094,s431,s301,s104,s80,s56,s3411,s94,s380,s51,s182,s112,s3064,s118,s2402,s123,s2376,s3499,s379,s3457,s3473]) ).

cnf(s3502,plain,
    ( spl15_112
    | spl15_1
    | spl15_2 ),
    inference(rat,[],[s164,s1749,s407,s160,s137,s237,s874,s87,s291,s1425,s3476,s168,s3366,s76,s43,s271,s482,s3501,s431,s3032,s301,s104,s80,s56,s94,s380,s51,s182,s3457,s112,s3064,s118,s2402,s123,s2376,s3473]) ).

cnf(s3503,plain,
    ( ~ spl15_118
    | spl15_5
    | spl15_1
    | spl15_2 ),
    inference(rat,[],[s207,s329,s138,s3276,s571,s162,s3340,s84,s87,s196,s283,s337,s3477,s144,s3366,s685,s5,s45,s3217,s313,s346,s359,s742,s169,s76,s386,s2003,s959,s385,s379,s301,s104,s80,s56,s94,s380,s51,s182,s112,s3064,s118,s2402,s123,s2376,s1426,s405,s3410,s847,s841,s2072,s247,s167,s3411,s3473,s1094,s3457,s3502]) ).

cnf(s3504,plain,
    ( spl15_5
    | spl15_1
    | spl15_2 ),
    inference(rat,[],[s985,s3218,s171,s3344,s3503,s247,s167,s3410,s1094,s3064,s2402,s2376,s301,s3411,s3473,s3457,s962,s405,s3502]) ).

cnf(s3505,plain,
    ( spl15_1
    | spl15_2 ),
    inference(rat,[],[s161,s313,s690,s3341,s157,s83,s291,s1268,s246,s435,s3476,s168,s3366,s152,s76,s43,s271,s272,s482,s3504,s206,s3502,s123,s118,s112,s51,s94,s56,s80,s104,s2376,s2402,s3064,s182,s380,s403,s431,s959,s3473,s3457]) ).

cnf(s3506,plain,
    ( ~ spl15_72
    | spl15_58
    | spl15_87
    | spl15_60
    | spl15_114 ),
    inference(rat,[],[s3276,s744]) ).

cnf(s3507,plain,
    ( ~ spl15_10
    | spl15_87
    | spl15_46
    | spl15_39
    | spl15_51
    | spl15_60
    | spl15_114
    | spl15_106
    | spl15_40
    | spl15_41
    | spl15_49
    | spl15_109
    | spl15_48
    | spl15_44
    | spl15_81
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s3269,s2063,s3474,s3275,s46,s3506,s472,s875,s88,s76]) ).

cnf(s3508,plain,
    ( spl15_87
    | spl15_89
    | spl15_46
    | spl15_39
    | spl15_51
    | spl15_60
    | spl15_114
    | spl15_106
    | spl15_40
    | spl15_100
    | spl15_41
    | spl15_49
    | spl15_109
    | spl15_48
    | spl15_44
    | spl15_81
    | spl15_85
    | spl15_52 ),
    inference(rat,[],[s285,s117,s138,s3414,s3507,s563,s146,s88]) ).

cnf(s3509,plain,
    ( spl15_18
    | spl15_54
    | spl15_90
    | spl15_108
    | spl15_73
    | spl15_56
    | spl15_106
    | spl15_77
    | spl15_117
    | spl15_85
    | spl15_5 ),
    inference(rat,[],[s306,s31,s132,s502,s681,s142,s167]) ).

cnf(s3510,plain,
    ( ~ spl15_87
    | spl15_46
    | spl15_39
    | spl15_56
    | spl15_51
    | spl15_15
    | spl15_106
    | spl15_40
    | spl15_41
    | spl15_49
    | spl15_77
    | spl15_117
    | ~ spl15_118
    | spl15_85
    | spl15_5
    | spl15_52 ),
    inference(rat,[],[s8,s1765,s3290,s1577,s3509,s505,s244,s487,s3269,s114,s117,s3474,s3210,s220,s239,s406,s88,s76,s2003,s81,s438,s105,s224]) ).

cnf(s3511,plain,
    ( spl15_46
    | spl15_39
    | spl15_56
    | spl15_40
    | spl15_100
    | spl15_41
    | spl15_49
    | spl15_109
    | spl15_77
    | spl15_117
    | ~ spl15_118
    | spl15_85
    | spl15_5
    | spl15_112
    | spl15_52
    | spl15_68 ),
    inference(rat,[],[s2320,s34,s128,s793,s202,s113,s117,s3474,s188,s767,s1456,s1873,s3210,s137,s3508,s3507,s3510,s88,s759,s76,s2003,s81,s105,s224,s1846,s1190,s842,s2358,s124,s318,s170,s438]) ).

cnf(s3512,plain,
    ( ~ spl15_46
    | spl15_56
    | spl15_60
    | spl15_15
    | spl15_106
    | spl15_77
    | spl15_117
    | ~ spl15_118
    | spl15_85
    | spl15_5 ),
    inference(rat,[],[s8,s1765,s3290,s1577,s3509,s487,s164,s505,s244,s683,s1727,s32,s249,s351,s626,s135,s162,s324,s250,s220,s239,s281,s406,s90,s93,s94,s438]) ).

cnf(s3514,plain,
    ( ~ spl15_92
    | spl15_70
    | spl15_108
    | spl15_71
    | spl15_18
    | spl15_73
    | spl15_56
    | spl15_106
    | spl15_100
    | spl15_77
    | spl15_117
    | spl15_85
    | spl15_5 ),
    inference(rat,[],[s505,s3509,s161,s487,s1828]) ).

cnf(s3515,plain,
    ( spl15_87
    | spl15_111
    | spl15_113
    | spl15_108
    | spl15_71
    | spl15_18
    | spl15_73
    | spl15_56
    | spl15_114
    | spl15_106
    | spl15_100
    | spl15_77
    | spl15_117
    | spl15_85
    | spl15_5
    | spl15_52
    | spl15_68 ),
    inference(rat,[],[s34,s1302,s1455,s164,s155,s3514,s283,s1456,s166,s146,s240,s167]) ).

cnf(s3516,plain,
    ( ~ spl15_118
    | spl15_85
    | spl15_5
    | spl15_112
    | spl15_52
    | spl15_2 ),
    inference(rat,[],[s164,s3514,s357,s332,s168,s158,s288,s1143,s3515,s351,s324,s240,s133,s145,s167,s540,s1086,s192,s338,s900,s49,s51,s52,s3511,s3512,s698,s2358,s318,s842,s1190,s1846,s170,s57,s388,s62,s110,s298,s299,s359,s987,s154,s172,s728,s224,s438,s1575,s3505]) ).

cnf(s3517,plain,
    ( ~ spl15_8
    | ~ spl15_1 ),
    inference(rat,[],[s728,s421]) ).

cnf(s3519,plain,
    ( ~ spl15_110
    | spl15_51
    | spl15_89
    | spl15_46
    | spl15_39
    | spl15_43
    | spl15_70
    | spl15_50
    | spl15_48
    | spl15_40
    | spl15_41
    | spl15_45
    | spl15_49
    | spl15_117
    | spl15_52
    | ~ spl15_1 ),
    inference(rat,[],[s34,s1596,s1259,s153,s168,s1302,s208,s357,s82,s3474,s45,s310,s315,s1575,s3517]) ).

cnf(s3520,plain,
    ( spl15_89
    | spl15_87
    | spl15_39
    | spl15_43
    | spl15_70
    | spl15_50
    | spl15_115
    | spl15_107
    | spl15_48
    | spl15_85
    | spl15_40
    | spl15_41
    | spl15_45
    | spl15_49
    | spl15_117
    | spl15_52
    | ~ spl15_1 ),
    inference(rat,[],[s900,s46,s159,s3474,s82,s481,s2384,s163,s3519,s121,s563,s572,s146,s94]) ).

cnf(s3521,plain,
    ( spl15_81
    | spl15_79
    | spl15_67
    | spl15_103
    | spl15_70
    | spl15_118
    | spl15_5
    | spl15_77
    | spl15_68 ),
    inference(rat,[],[s1455,s34,s160,s1302,s760,s136,s143]) ).

cnf(s3522,plain,
    ( spl15_87
    | spl15_39
    | spl15_80
    | spl15_70
    | spl15_50
    | spl15_64
    | spl15_13
    | spl15_115
    | spl15_107
    | spl15_118
    | spl15_5
    | spl15_48
    | spl15_85
    | spl15_40
    | spl15_41
    | spl15_45
    | spl15_49
    | spl15_77
    | spl15_117
    | spl15_52
    | ~ spl15_1 ),
    inference(rat,[],[s639,s33,s159,s2156,s2384,s3521,s244,s165,s447,s166,s2113,s269,s338,s1855,s167,s1456,s433,s1873,s3520,s1575,s75]) ).

cnf(s3523,plain,
    ( spl15_81
    | spl15_63
    | spl15_110
    | spl15_75
    | spl15_59
    | spl15_89
    | spl15_10
    | spl15_102
    | spl15_60
    | spl15_70
    | spl15_64
    | spl15_115
    | spl15_118
    | spl15_5
    | spl15_22
    | spl15_52
    | spl15_68 ),
    inference(rat,[],[s34,s1259,s1302,s155,s329,s2417,s235,s32,s162,s157,s864,s626,s744,s1720,s1596,s33,s130,s885,s530,s761,s163,s143]) ).

cnf(s3524,plain,
    ( ~ spl15_87
    | spl15_60
    | spl15_70
    | spl15_64
    | spl15_13
    | spl15_115
    | spl15_107
    | spl15_118
    | spl15_5
    | spl15_85
    | spl15_22
    | spl15_52
    | spl15_68 ),
    inference(rat,[],[s639,s33,s159,s2156,s2384,s3523,s2113,s270,s338,s167,s250,s239,s288,s406,s1143]) ).

cnf(s3525,plain,
    ( spl15_87
    | spl15_80
    | ~ spl15_1
    | spl15_70
    | spl15_50
    | spl15_64
    | spl15_13
    | spl15_115
    | spl15_107
    | spl15_118
    | spl15_5
    | spl15_48
    | spl15_85
    | spl15_40
    | spl15_41
    | spl15_45
    | spl15_49
    | spl15_77
    | spl15_117
    | spl15_52 ),
    inference(rat,[],[s167,s338,s49,s52,s3522]) ).

cnf(s3526,plain,
    ( spl15_5
    | spl15_52
    | spl15_2 ),
    inference(rat,[],[s3525,s3524,s636,s532,s892,s170,s118,s638,s247,s318,s654,s682,s171,s3516,s1575,s987,s985,s299,s298,s110,s86,s62,s57,s359,s1779,s379,s241,s105,s289,s990,s172,s3517,s3505]) ).

cnf(s3527,plain,
    ( spl15_39
    | spl15_87
    | spl15_70
    | spl15_115
    | spl15_107
    | spl15_43
    | spl15_38
    | spl15_46
    | spl15_50
    | spl15_48
    | spl15_85
    | spl15_40
    | spl15_41
    | spl15_45
    | spl15_49
    | spl15_77
    | spl15_117
    | spl15_52
    | ~ spl15_1 ),
    inference(rat,[],[s1455,s34,s160,s1302,s1749,s82,s3474,s123,s1456,s428,s433,s1873,s3520,s1575]) ).

cnf(s3528,plain,
    ( spl15_87
    | spl15_70
    | spl15_64
    | spl15_115
    | spl15_107
    | ~ spl15_5
    | spl15_48
    | spl15_85
    | spl15_40
    | spl15_41
    | spl15_45
    | spl15_49
    | spl15_77
    | spl15_117
    | spl15_52
    | ~ spl15_1 ),
    inference(rat,[],[s885,s33,s163,s884,s310,s969,s52,s3527,s992,s115,s91,s43,s76,s482]) ).

cnf(s3529,plain,
    ( spl15_75
    | spl15_69
    | spl15_18
    | spl15_59
    | spl15_10
    | spl15_60
    | spl15_70
    | spl15_100
    | spl15_77
    | spl15_116 ),
    inference(rat,[],[s329,s208,s32,s138,s162,s864,s200,s352,s126,s141]) ).

cnf(s3530,plain,
    ( spl15_52
    | spl15_2 ),
    inference(rat,[],[s1727,s190,s32,s140,s1790,s2109,s158,s133,s900,s3529,s743,s286,s142,s168,s3436,s250,s220,s239,s288,s406,s1143,s3528,s636,s460,s892,s170,s638,s318,s654,s682,s171,s271,s272,s3526,s105,s241,s289,s379,s388,s57,s990,s62,s86,s110,s298,s299,s359,s985,s987,s172,s3517,s3505]) ).

cnf(s3531,plain,
    ( ~ spl15_118
    | spl15_39
    | spl15_112
    | spl15_87
    | spl15_45
    | ~ spl15_52 ),
    inference(rat,[],[s3476,s63,s46,s188,s608,s137,s170,s76,s3292,s438,s2003,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s94]) ).

cnf(s3532,plain,
    ( spl15_39
    | spl15_16
    | spl15_112
    | spl15_88
    | spl15_5
    | spl15_87
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s152,s198,s382,s150,s3455,s2334,s3327,s3531,s3530,s88,s94,s230,s154,s3517,s3505]) ).

cnf(s3533,plain,
    ( spl15_16
    | spl15_112
    | spl15_88
    | spl15_5
    | spl15_87
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s139,s1790,s841,s1181,s167,s137,s311,s338,s3188,s48,s49,s52,s3532,s3064,s2402,s3530,s1779,s154,s3517,s3505]) ).

cnf(s3534,plain,
    ( ~ spl15_95
    | ~ spl15_52 ),
    inference(rat,[],[s449,s132,s148,s690,s1829,s140,s3249,s247,s654,s682,s3032,s2376,s301]) ).

cnf(s3535,plain,
    ( ~ spl15_16
    | spl15_112
    | spl15_88
    | ~ spl15_52 ),
    inference(rat,[],[s438,s170,s171,s298,s985,s2402,s3534]) ).

cnf(s3536,plain,
    ( ~ spl15_5
    | spl15_88
    | spl15_46
    | spl15_45
    | spl15_2 ),
    inference(rat,[],[s52,s420,s3476,s3366,s171,s76,s43,s271,s272,s482,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3534,s3530]) ).

cnf(s3537,plain,
    ( spl15_112
    | spl15_88
    | spl15_87
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s3533,s3535,s3530,s3536,s94,s88]) ).

cnf(s3538,plain,
    ( ~ spl15_41
    | spl15_10
    | spl15_87
    | spl15_85
    | spl15_95 ),
    inference(rat,[],[s3201,s3230]) ).

cnf(s3539,plain,
    ( ~ spl15_118
    | spl15_39
    | spl15_41
    | spl15_113
    | spl15_10
    | spl15_46
    | spl15_45
    | ~ spl15_52 ),
    inference(rat,[],[s3476,s3415,s76,s759,s2003,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376]) ).

cnf(s3540,plain,
    ( spl15_39
    | spl15_41
    | spl15_113
    | spl15_10
    | spl15_88
    | spl15_46
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s2334,s3327,s171,s3539,s3534,s3530,s3536,s88]) ).

cnf(s3541,plain,
    ( spl15_88
    | spl15_87
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s130,s192,s47,s52,s3540,s3538,s316,s433,s146,s3453,s405,s982,s3537,s3534,s3530,s94]) ).

cnf(s3542,plain,
    ( spl15_5
    | spl15_39
    | spl15_87
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s45,s313,s3476,s169,s75,s434,s532,s3405,s2113,s269,s338,s1855,s3325,s3244,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s88,s94,s962,s573,s289,s224,s1161,s3534,s3530,s316,s146,s1872,s3541]) ).

cnf(s3543,plain,
    ( spl15_39
    | spl15_87
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s3476,s3366,s76,s43,s271,s482,s3542,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3530,s88,s94]) ).

cnf(s3544,plain,
    ( spl15_87
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s34,s2320,s1895,s216,s160,s149,s138,s311,s900,s48,s52,s3543,s1456,s222,s316,s433,s990,s146,s289,s323,s1872,s3541,s1575,s3505,s3032,s3530]) ).

cnf(s3545,plain,
    ( ~ spl15_118
    | spl15_41
    | spl15_5
    | spl15_39
    | spl15_100
    | spl15_59
    | spl15_73
    | spl15_80
    | spl15_89
    | spl15_112
    | spl15_10
    | spl15_45
    | ~ spl15_52 ),
    inference(rat,[],[s33,s1562,s884,s167,s126,s291,s2339,s970,s168,s161,s357,s683,s329,s32,s2104,s249,s162,s135,s885,s90,s93,s3476,s46,s252,s350,s608,s170,s1728,s438,s2003,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s75]) ).

cnf(s3546,plain,
    ( spl15_118
    | spl15_5
    | spl15_39
    | spl15_88
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s3320,s3327,s3217,s3397,s3402,s3517,s3505,s288,s3535,s401,s3544,s3530]) ).

cnf(s3547,plain,
    ( spl15_5
    | spl15_39
    | spl15_88
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s125,s3191,s3324,s180,s3294,s3230,s59,s61,s64,s3545,s3546,s3064,s3530,s88,s406,s288,s281,s220,s250,s239,s388,s230,s154,s3517,s3505,s401,s3544]) ).

cnf(s3548,plain,
    ( ~ spl15_5
    | spl15_88
    | spl15_45
    | spl15_2 ),
    inference(rat,[],[s3536,s91]) ).

cnf(s3549,plain,
    ( spl15_88
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s33,s885,s1562,s1728,s2003,s145,s167,s171,s884,s192,s338,s420,s969,s52,s3547,s3548,s2402,s3534,s3530,s88,s288,s239,s3544]) ).

cnf(s3550,plain,
    ( spl15_5
    | spl15_39
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s3313,s3217,s3327,s3402,s3517,s3530,s288,s3544,s224,s93,s323,s990,s289,s3549,s3505]) ).

cnf(s3551,plain,
    ( spl15_39
    | spl15_85
    | spl15_2 ),
    inference(rat,[],[s3476,s3366,s43,s271,s3550,s104,s80,s56,s112,s3064,s118,s2402,s123,s2376,s3530,s88,s75,s281,s3544,s93,s323,s3549]) ).

cnf(s3552,plain,
    ( spl15_85
    | spl15_2 ),
    inference(rat,[],[s268,s3423,s168,s290,s338,s420,s51,s52,s3551,s224,s3549,s239,s288,s3544,s2376,s3534,s3530]) ).

cnf(s3553,plain,
    ( spl15_5
    | spl15_2 ),
    inference(rat,[],[s900,s3529,s3340,s291,s1362,s196,s283,s337,s346,s703,s742,s168,s144,s2072,s405,s169,s685,s3499,s386,s5,s3344,s3217,s847,s3410,s167,s3517,s3064,s2402,s2376,s301,s3534,s1094,s959,s431,s385,s380,s3411,s3530,s990,s379,s3552,s3505]) ).

cnf(s3554,plain,
    spl15_2,
    inference(rat,[],[s171,s573,s2807,s2,s87,s1391,s3476,s148,s3366,s76,s43,s186,s271,s272,s482,s3553,s51,s94,s182,s380,s448,s3552,s3534,s123,s118,s112,s56,s80,s104,s2376,s2402,s3064,s3530]) ).

cnf(s3555,plain,
    ~ spl15_99,
    inference(rat,[],[s2027,s3554]) ).

cnf(s3556,plain,
    ~ spl15_97,
    inference(rat,[],[s956,s3554]) ).

cnf(s3557,plain,
    ~ spl15_82,
    inference(rat,[],[s524,s3554]) ).

cnf(s3558,plain,
    ~ spl15_118,
    inference(rat,[],[s514,s3554]) ).

cnf(s3559,plain,
    ~ spl15_83,
    inference(rat,[],[s361,s3554]) ).

cnf(s3560,plain,
    ~ spl15_119,
    inference(rat,[],[s300,s3554]) ).

cnf(s3561,plain,
    ~ spl15_52,
    inference(rat,[],[s226,s3554]) ).

cnf(s3562,plain,
    ~ spl15_50,
    inference(rat,[],[s116,s3554]) ).

cnf(s3563,plain,
    ~ spl15_46,
    inference(rat,[],[s92,s3554]) ).

cnf(s3564,plain,
    ~ spl15_38,
    inference(rat,[],[s44,s3554]) ).

cnf(s3565,plain,
    ~ spl15_44,
    inference(rat,[],[s81,s3557]) ).

cnf(s3566,plain,
    ( ~ spl15_116
    | ~ spl15_73
    | spl15_112
    | spl15_48
    | spl15_41
    | spl15_39
    | spl15_45 ),
    inference(rat,[],[s112,s442,s3474,s170,s57,s242,s703,s121,s73,s3562,s3565,s3561,s3563,s3564,s3557]) ).

cnf(s3567,plain,
    ( ~ spl15_73
    | spl15_112
    | spl15_88
    | spl15_41
    | spl15_39
    | spl15_45 ),
    inference(rat,[],[s3331,s170,s112,s318,s441,s171,s3566,s73,s121,s105,s3562,s3565,s3561,s3563,s3557,s3558]) ).

cnf(s3568,plain,
    ( ~ spl15_43
    | spl15_100
    | spl15_113 ),
    inference(rat,[],[s138,s184,s72,s76]) ).

cnf(s3569,plain,
    ( spl15_112
    | spl15_88
    | spl15_87
    | spl15_41
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s242,s171,s170,s441,s442,s112,s3474,s3568,s57,s230,s388,s123,s154,s316,s428,s519,s146,s3567,s88,s105,s3558,s3557,s3562,s3565,s3561,s3563,s3564]) ).

cnf(s3570,plain,
    ( spl15_89
    | spl15_88
    | spl15_87
    | spl15_41
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s2384,s2073,s159,s34,s450,s791,s164,s139,s742,s311,s409,s54,s57,s58,s3474,s111,s1259,s286,s462,s569,s73,s121,s572,s168,s146,s88,s105,s1246,s218,s1370,s1,s886,s3569,s3559,s3562,s3565,s3561,s3563,s3564,s3560,s3554]) ).

cnf(s3571,plain,
    ( ~ spl15_77
    | spl15_69
    | spl15_108
    | spl15_78
    | spl15_115
    | spl15_109
    | spl15_67
    | ~ spl15_112 ),
    inference(rat,[],[s793,s34,s3340,s791,s611,s1246,s218,s3559,s3554]) ).

cnf(s3572,plain,
    ( spl15_95
    | spl15_49
    | spl15_109
    | spl15_51
    | spl15_67
    | spl15_103
    | spl15_73
    | ~ spl15_112
    | spl15_88
    | spl15_5
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s34,s1895,s1455,s160,s149,s3571,s743,s165,s196,s337,s534,s499,s75,s76,s3477,s847,s57,s167,s465,s703,s2340,s156,s171,s88,s3244,s105,s990,s241,s1246,s218,s1370,s1,s886,s3555,s3564,s3562,s3563,s3565,s3561,s3558,s3554]) ).

cnf(s3573,plain,
    ( ~ spl15_77
    | spl15_69
    | spl15_67
    | spl15_113
    | spl15_68 ),
    inference(rat,[],[s793,s34,s164,s791,s409,s3559]) ).

cnf(s3574,plain,
    ( spl15_49
    | spl15_109
    | spl15_51
    | spl15_67
    | spl15_113
    | spl15_103
    | spl15_73
    | ~ spl15_112
    | spl15_88
    | spl15_5
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s499,s1895,s76,s34,s3474,s1455,s160,s149,s58,s3573,s742,s169,s441,s3572,s88,s3244,s105,s990,s241,s1246,s218,s1370,s1,s886,s3562,s3565,s3561,s3563,s3564,s3555,s3556,s3554,s3558]) ).

cnf(s3575,plain,
    ( spl15_88
    | spl15_87
    | spl15_5
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s3506,s329,s126,s3229,s420,s841,s847,s2072,s171,s3573,s167,s441,s107,s109,s112,s3574,s1497,s15,s123,s1367,s1456,s316,s428,s433,s1873,s3570,s1246,s886,s218,s3569,s3244,s3559,s3558,s3554]) ).

cnf(s3576,plain,
    ( spl15_43
    | spl15_48
    | spl15_49
    | spl15_113
    | spl15_51
    | spl15_86
    | spl15_112
    | spl15_73
    | spl15_87
    | spl15_5
    | spl15_39
    | spl15_45 ),
    inference(rat,[],[s32,s965,s883,s158,s499,s1362,s337,s163,s166,s133,s528,s270,s1855,s164,s2358,s842,s1846,s167,s311,s409,s611,s170,s55,s58,s3331,s3474,s3244,s3559,s3561,s3557,s3562,s3565,s3563,s3564,s3558]) ).

cnf(s3577,plain,
    ( ~ spl15_93
    | ~ spl15_102
    | spl15_59
    | spl15_79
    | spl15_70
    | spl15_10
    | spl15_117 ),
    inference(rat,[],[s965,s311,s32,s149,s883,s351,s1640,s162,s2358,s1247,s442,s1190,s3561,s3554]) ).

cnf(s3578,plain,
    ( ~ spl15_43
    | spl15_117
    | spl15_113
    | spl15_95
    | spl15_112
    | spl15_87
    | spl15_85 ),
    inference(rat,[],[s743,s3190,s2417,s165,s162,s465,s350,s156,s170,s3577,s392,s137,s1362,s534,s499,s1999,s3568,s72,s75,s76,s3561,s3557]) ).

cnf(s3579,plain,
    ( ~ spl15_102
    | spl15_59
    | spl15_70
    | ~ spl15_93
    | spl15_117
    | spl15_113
    | spl15_86 ),
    inference(rat,[],[s215,s138,s3577,s875]) ).

cnf(s3580,plain,
    ( ~ spl15_93
    | spl15_108
    | spl15_13
    | spl15_117
    | spl15_113
    | spl15_94
    | spl15_101
    | spl15_86
    | spl15_112
    | spl15_87
    | spl15_85 ),
    inference(rat,[],[s499,s161,s472,s577,s3277,s137,s3579,s313,s1362,s283,s1829,s169,s166,s148,s442,s842,s3561,s3556]) ).

cnf(s3581,plain,
    ( spl15_13
    | spl15_64
    | spl15_101
    | spl15_95
    | spl15_86
    | spl15_112
    | spl15_73
    | spl15_87
    | spl15_5
    | spl15_85 ),
    inference(rat,[],[s970,s134,s3573,s409,s3424,s8,s3426,s490,s165,s465,s350,s156,s170,s1246,s3580,s269,s270,s1855,s167,s428,s316,s222,s1456,s146,s3561,s3557,s3554]) ).

cnf(s3582,plain,
    ( spl15_87
    | spl15_5
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s2472,s17,s328,s137,s164,s174,s487,s3229,s111,s3576,s103,s847,s3581,s3578,s222,s316,s124,s146,s1161,s289,s321,s323,s962,s1872,s3575,s88,s3559]) ).

cnf(s3583,plain,
    ( spl15_95
    | spl15_49
    | spl15_88
    | spl15_43
    | spl15_48
    | spl15_41
    | spl15_39
    | spl15_45 ),
    inference(rat,[],[s57,s703,s3474,s171,s124,s3562,s3565,s3561,s3563,s3564,s3558]) ).

cnf(s3584,plain,
    ( spl15_49
    | spl15_88
    | spl15_5
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s143,s761,s1999,s130,s3524,s1508,s119,s15,s252,s3331,s1497,s170,s1246,s638,s247,s318,s441,s654,s682,s3583,s88,s3244,s1143,s401,s106,s288,s75,s281,s3582,s3558,s3561,s3554,s3562,s3565,s3563,s3557]) ).

cnf(s3585,plain,
    ( spl15_88
    | spl15_5
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s242,s171,s170,s441,s442,s112,s3584,s401,s3582,s3558,s3557]) ).

cnf(s3586,plain,
    ( spl15_49
    | spl15_51
    | spl15_79
    | spl15_43
    | spl15_48
    | spl15_59
    | spl15_108
    | spl15_112
    | spl15_102
    | spl15_41
    | spl15_39
    | spl15_45 ),
    inference(rat,[],[s32,s249,s1727,s158,s133,s2358,s1846,s611,s170,s58,s3331,s3474,s3561,s3557,s3562,s3565,s3563,s3564]) ).

cnf(s3587,plain,
    ( spl15_5
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s126,s3399,s608,s291,s1562,s847,s170,s142,s167,s442,s107,s109,s112,s3586,s124,s321,s3585,s502,s2023,s244,s144,s75,s106,s250,s220,s239,s281,s288,s401,s1143,s3582,s3244,s88,s3558,s3557,s3560]) ).

cnf(s3588,plain,
    ( spl15_89
    | spl15_87
    | ~ spl15_5
    | spl15_85 ),
    inference(rat,[],[s1391,s166,s1883,s3349,s146,s333,s186]) ).

cnf(s3589,plain,
    ( spl15_112
    | spl15_87
    | spl15_88
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s842,s1246,s148,s3573,s243,s126,s157,s192,s925,s145,s407,s417,s137,s178,s188,s507,s59,s63,s64,s3569,s186,s428,s1456,s1873,s3588,s3587,s3554]) ).

cnf(s3590,plain,
    ( ~ spl15_40
    | spl15_68
    | spl15_113
    | spl15_67 ),
    inference(rat,[],[s742,s3573,s57,s58]) ).

cnf(s3591,plain,
    ( ~ spl15_41
    | spl15_68
    | spl15_10
    | spl15_113
    | spl15_67
    | spl15_63
    | spl15_87
    | spl15_81
    | spl15_85 ),
    inference(rat,[],[s33,s884,s885,s126,s138,s638,s3573,s178,s216,s3538,s59,s63,s64,s3561]) ).

cnf(s3592,plain,
    ( ~ spl15_49
    | spl15_88
    | ~ spl15_5 ),
    inference(rat,[],[s2807,s2,s171,s1391,s441,s3225,s112,s186,s3558]) ).

cnf(s3593,plain,
    ( spl15_87
    | spl15_88
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s3474,s3591,s3590,s1246,s123,s218,s405,s1456,s316,s428,s1873,s3589,s3588,s992,s88,s76,s482,s105,s3592,s3587,s3562,s3565,s3561,s3563,s3564,s3554]) ).

cnf(s3594,plain,
    ( ~ spl15_93
    | spl15_10
    | spl15_49
    | spl15_88
    | spl15_43
    | spl15_39
    | spl15_45 ),
    inference(rat,[],[s3583,s3230,s318,s1190,s105]) ).

cnf(s3595,plain,
    ( ~ spl15_94
    | spl15_66
    | spl15_103
    | spl15_68
    | spl15_89
    | spl15_96
    | spl15_85 ),
    inference(rat,[],[s791,s743,s34,s160,s165,s1259,s462,s464,s3555]) ).

cnf(s3596,plain,
    ( spl15_88
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s126,s59,s291,s3331,s168,s123,s3595,s2073,s192,s153,s130,s566,s1779,s169,s1508,s441,s15,s171,s1497,s242,s346,s608,s170,s1246,s3594,s288,s401,s406,s1143,s3593,s3592,s105,s88,s484,s76,s482,s3587,s3562,s3565,s3561,s3563,s3560,s3556,s3554,s3558,s3557]) ).

cnf(s3597,plain,
    ( ~ spl15_93
    | spl15_87
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s33,s1294,s884,s147,s159,s1180,s21,s742,s369,s169,s3580,s442,s979,s186,s962,s573,s323,s289,s1161,s321,s3596,s992,s428,s316,s222,s3588,s3587,s3559,s3556]) ).

cnf(s3598,plain,
    ( spl15_87
    | spl15_39
    | spl15_85 ),
    inference(rat,[],[s1294,s33,s3399,s884,s126,s3573,s743,s165,s465,s608,s156,s170,s1246,s3597,s1456,s316,s3588,s992,s484,s3587,s1872,s962,s1161,s321,s3596,s3559,s3558,s3561,s3557,s3554]) ).

cnf(s3599,plain,
    ( ~ spl15_93
    | spl15_18
    | spl15_48
    | spl15_108
    | spl15_10
    | spl15_51
    | spl15_101
    | spl15_43
    | spl15_13
    | spl15_39
    | spl15_45 ),
    inference(rat,[],[s291,s142,s58,s292,s3474,s169,s3225,s3230,s442,s842,s1190,s3562,s3565,s3561,s3563,s3564,s3556]) ).

cnf(s3600,plain,
    ( spl15_39
    | spl15_85 ),
    inference(rat,[],[s3595,s2073,s168,s153,s290,s1508,s165,s15,s465,s1497,s156,s170,s1246,s3599,s3436,s106,s220,s288,s406,s3598,s124,s289,s321,s421,s962,s3596,s76,s186,s482,s484,s3587,s88,s3560,s3554,s3561,s3557]) ).

cnf(s3601,plain,
    ( ~ spl15_89
    | ~ spl15_39 ),
    inference(rat,[],[s1246,s34,s319,s1895,s133,s507,s351,s157,s164,s1455,s235,s487,s160,s1456,s316,s433,s49,s47,s969,s900,s311,s52,s540,s51,s3554,s3559,s3555]) ).

cnf(s3602,plain,
    spl15_85,
    inference(rat,[],[s1508,s15,s1497,s133,s351,s164,s393,s130,s286,s1143,s168,s146,s3601,s290,s540,s192,s900,s47,s49,s51,s52,s3600,s3554,s3559,s3560]) ).

cnf(s3603,plain,
    ~ spl15_73,
    inference(rat,[],[s1094,s3602]) ).

cnf(s3604,plain,
    ~ spl15_100,
    inference(rat,[],[s959,s3602]) ).

cnf(s3606,plain,
    ~ spl15_89,
    inference(rat,[],[s431,s3602]) ).

cnf(s3607,plain,
    ~ spl15_22,
    inference(rat,[],[s403,s3602]) ).

cnf(s3608,plain,
    ~ spl15_96,
    inference(rat,[],[s385,s3602]) ).

cnf(s3609,plain,
    ~ spl15_87,
    inference(rat,[],[s380,s3602]) ).

cnf(s3610,plain,
    ~ spl15_101,
    inference(rat,[],[s379,s3602]) ).

cnf(s3611,plain,
    ~ spl15_74,
    inference(rat,[],[s182,s3602]) ).

cnf(s3612,plain,
    ~ spl15_55,
    inference(rat,[],[s1080,s3603,s3602]) ).

cnf(s3613,plain,
    ~ spl15_48,
    inference(rat,[],[s106,s3606]) ).

cnf(s3614,plain,
    ~ spl15_39,
    inference(rat,[],[s51,s3611]) ).

cnf(s3615,plain,
    ( spl15_43
    | ~ spl15_93
    | spl15_5 ),
    inference(rat,[],[s254,s3577,s157,s291,s137,s53,s58,s407,s3474,s3576,s3244,s283,s1362,s144,s112,s124,s742,s169,s442,s323,s87,s573,s154,s1769,s1247,s318,s218,s3607,s3609,s3562,s3565,s3613,s3561,s3563,s3564,s3614,s3603,s3610,s3554,s3556,s3608,s3560,s3558]) ).

cnf(s3616,plain,
    ( ~ spl15_93
    | spl15_5 ),
    inference(rat,[],[s31,s1012,s602,s626,s161,s128,s162,s499,s2384,s72,s76,s3615,s769,s313,s169,s442,s1190,s337,s283,s144,s3612,s3559,s3604,s3555,s3556,s3610,s3608,s3560]) ).

cnf(s3617,plain,
    ( ~ spl15_109
    | spl15_88 ),
    inference(rat,[],[s441,s171,s169,s242,s346,s3558,s3556,s3610]) ).

cnf(s3618,plain,
    ( spl15_88
    | spl15_5 ),
    inference(rat,[],[s31,s505,s306,s161,s132,s2104,s2109,s162,s626,s3571,s3340,s769,s313,s742,s441,s654,s682,s150,s171,s1259,s286,s462,s2340,s168,s142,s1370,s990,s1,s886,s405,s170,s3617,s337,s283,s196,s144,s3616,s3612,s3604,s3558,s3606,s3560,s3611,s3554,s3610,s3557,s3608]) ).

cnf(s3619,plain,
    ( ~ spl15_49
    | spl15_5 ),
    inference(rat,[],[s126,s3399,s291,s1562,s142,s3225,s107,s109,s196,s321,s608,s327,s326,s162,s407,s153,s1508,s15,s1497,s421,s283,s144,s350,s170,s962,s3618,s3616,s3558,s3606,s3611,s3557,s3608,s3560,s3554]) ).

cnf(s3620,plain,
    spl15_5,
    inference(rat,[],[s31,s454,s602,s161,s128,s499,s2384,s76,s3331,s3619,s2930,s877,s608,s156,s124,s87,s170,s321,s573,s962,s3618,s3616,s337,s144,s3244,s3612,s3604,s3555,s3562,s3565,s3614,s3613,s3561,s3563,s3557,s3560,s3608,s3558]) ).

cnf(s3621,plain,
    ~ spl15_98,
    inference(rat,[],[s979,s3620]) ).

cnf(s3622,plain,
    ~ spl15_81,
    inference(rat,[],[s482,s3620]) ).

cnf(s3623,plain,
    ~ spl15_80,
    inference(rat,[],[s333,s3620]) ).

cnf(s3624,plain,
    ~ spl15_13,
    inference(rat,[],[s186,s3620]) ).

cnf(s3626,plain,
    ~ spl15_63,
    inference(rat,[],[s992,s3609,s3620]) ).

cnf(s3628,plain,
    ~ spl15_18,
    inference(rat,[],[s2103,s3602,s3626]) ).

cnf(s3629,plain,
    ~ spl15_93,
    inference(rat,[],[s33,s884,s1294,s159,s147,s1180,s1161,s573,s21,s154,s742,s369,s1769,s169,s166,s1247,s218,s318,s442,s842,s3626,s3559,s3621,s3624,s3620,s3610,s3556,s3623,s3609,s3554]) ).

cnf(s3630,plain,
    ~ spl15_68,
    inference(rat,[],[s1246,s3554,s3629]) ).

cnf(s3631,plain,
    ( spl15_95
    | ~ spl15_112 ),
    inference(rat,[],[s31,s454,s602,s161,s128,s238,s194,s162,s132,s326,s2930,s245,s877,s147,s156,s405,s609,s542,s462,s168,s1180,s21,s369,s142,s1370,s1,s886,s3612,s3604,s3621,s3555,s3561,s3624,s3629,s3620,s3611,s3628,s3554,s3560,s3606]) ).

cnf(s3633,plain,
    ( ~ spl15_77
    | spl15_67
    | spl15_69 ),
    inference(rat,[],[s34,s2073,s791,s3573,s3622,s3630]) ).

cnf(s3634,plain,
    ( spl15_3
    | ~ spl15_112 ),
    inference(rat,[],[s885,s33,s163,s884,s310,s126,s3633,s742,s169,s638,s441,s654,s3631,s1259,s609,s168,s142,s1370,s3554,s3611,s3628,s3560,s3606,s3561,s3610,s3556,s3626,s3622]) ).

cnf(s3635,plain,
    ~ spl15_112,
    inference(rat,[],[s3634,s1,s886,s3554]) ).

cnf(s3637,plain,
    spl15_109,
    inference(rat,[],[s170,s3629,s3557,s3635]) ).

cnf(s3639,plain,
    ~ spl15_108,
    inference(rat,[],[s395,s3637]) ).

cnf(s3641,plain,
    ~ spl15_76,
    inference(rat,[],[s346,s3637]) ).

cnf(s3644,plain,
    spl15_20,
    inference(rat,[],[s1497,s3554,s3637]) ).

cnf(s3645,plain,
    spl15_88,
    inference(rat,[],[s3617,s3637]) ).

cnf(s3647,plain,
    spl15_114,
    inference(rat,[],[s166,s3609,s3623,s3639]) ).

cnf(s3648,plain,
    spl15_117,
    inference(rat,[],[s142,s3611,s3628,s3639]) ).

cnf(s3650,plain,
    spl15_91,
    inference(rat,[],[s169,s3610,s3556,s3641]) ).

cnf(s3651,plain,
    ~ spl15_27,
    inference(rat,[],[s15,s3554,s3644]) ).

cnf(s3652,plain,
    ~ spl15_84,
    inference(rat,[],[s573,s3645]) ).

cnf(s3653,plain,
    ~ spl15_8,
    inference(rat,[],[s421,s3645]) ).

cnf(s3655,plain,
    ~ spl15_95,
    inference(rat,[],[s321,s3645]) ).

cnf(s3656,plain,
    ~ spl15_64,
    inference(rat,[],[s1161,s3655,s3645]) ).

cnf(s3659,plain,
    ~ spl15_15,
    inference(rat,[],[s327,s3647]) ).

cnf(s3663,plain,
    ~ spl15_77,
    inference(rat,[],[s291,s3648]) ).

cnf(s3665,plain,
    ~ spl15_104,
    inference(rat,[],[s877,s3650]) ).

cnf(s3669,plain,
    ~ spl15_103,
    inference(rat,[],[s1508,s3644,s3651]) ).

cnf(s3673,plain,
    spl15_113,
    inference(rat,[],[s153,s3606,s3653,s3669]) ).

cnf(s3675,plain,
    spl15_90,
    inference(rat,[],[s160,s3555,s3663,s3669]) ).

cnf(s3677,plain,
    ~ spl15_92,
    inference(rat,[],[s287,s3673]) ).

cnf(s3680,plain,
    ~ spl15_107,
    inference(rat,[],[s518,s3675]) ).

cnf(s3684,plain,
    spl15_115,
    inference(rat,[],[s140,s3659,s3665,s3677]) ).

cnf(s3686,plain,
    spl15_75,
    inference(rat,[],[s159,s3621,s3652,s3680]) ).

cnf(s3691,plain,
    ~ spl15_62,
    inference(rat,[],[s1294,s3559,s3684]) ).

cnf(s3693,plain,
    ~ spl15_69,
    inference(rat,[],[s969,s3686]) ).

cnf(s3694,plain,
    ~ spl15_61,
    inference(rat,[],[s884,s3693,s3686]) ).

cnf(s3698,plain,
    $false,
    inference(rat,[],[s33,s3656,s3626,s3691,s3694]) ).

fof(f4461,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3698]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG131+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n014.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 19:31:46 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/1.37  % (2093600)Detected formulas, will run a generic FOF schedule.
% 4.36/1.37  % (2093611)dis-21_1_sil=8000:lcm=predicate:random_seed=1637903354:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.36/1.37  % (2093611)Refutation not found, incomplete strategy
% 4.36/1.37  % (2093611)------------------------------
% 4.36/1.37  % (2093611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.37  % (2093611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.37  % (2093611)CaDiCaL version: 2.1.3
% 4.36/1.37  % (2093611)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.37  % (2093611)Time elapsed: 0.005 s
% 4.36/1.37  % (2093611)Peak memory usage: 88 MB
% 4.36/1.37  % (2093611)Instructions burned: 15 (million)
% 4.36/1.37  % (2093610)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1323872131:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.36/1.37  % (2093609)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=534224812:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.36/1.37  % (2093608)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1416732389:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.36/1.37  % (2093605)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1642904354:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.36/1.37  % (2093606)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4145150406:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.36/1.37  % (2093607)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3302267328:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.36/1.37  % (2093609)Refutation not found, incomplete strategy
% 4.36/1.37  % (2093609)------------------------------
% 4.36/1.37  % (2093609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.37  % (2093609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.37  % (2093609)CaDiCaL version: 2.1.3
% 4.36/1.37  % (2093609)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.37  % (2093609)Time elapsed: 0.001 s
% 4.36/1.37  % (2093608)Refutation not found, incomplete strategy
% 4.36/1.37  % (2093608)------------------------------
% 4.36/1.37  % (2093608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.37  % (2093609)Peak memory usage: 86 MB
% 4.36/1.37  % (2093608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.37  % (2093608)CaDiCaL version: 2.1.3
% 4.36/1.37  % (2093608)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.37  % (2093608)Time elapsed: 0.001 s
% 4.36/1.37  % (2093608)Peak memory usage: 86 MB
% 4.36/1.37  % (2093610)Instruction limit reached! 
% 4.36/1.37  % (2093610)------------------------------
% 4.36/1.37  % (2093610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.37  % (2093610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.37  % (2093610)CaDiCaL version: 2.1.3
% 4.36/1.37  % (2093610)Termination reason: Instruction limit
% 4.36/1.37  % (2093610)Termination phase: Saturation
% 4.36/1.37  % (2093610)Time elapsed: 0.073 s
% 4.36/1.37  % (2093610)Peak memory usage: 89 MB
% 4.36/1.37  % (2093610)Instructions burned: 140 (million)
% 4.36/1.37  % (2093611)------------------------------
% 4.36/1.37  % (2093611)------------------------------
% 4.36/1.37  % (2093620)lrs+10_1_sil=32000:urr=on:br=off:random_seed=233710995:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.36/1.37  % (2093620)Refutation not found, incomplete strategy
% 4.36/1.37  % (2093620)------------------------------
% 4.36/1.37  % (2093620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.37  % (2093620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.37  % (2093620)CaDiCaL version: 2.1.3
% 4.36/1.37  % (2093620)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.37  % (2093620)Time elapsed: 0.001 s
% 4.36/1.37  % (2093620)Peak memory usage: 87 MB
% 4.36/1.37  % (2093620)Instructions burned: 2 (million)
% 4.36/1.37  % (2093619)lrs+10_1_sil=8000:sp=occurrence:random_seed=1020776808:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.66/1.44  % (2093619)Refutation not found, incomplete strategy
% 4.66/1.44  % (2093619)------------------------------
% 4.66/1.44  % (2093619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.44  % (2093619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.44  % (2093619)CaDiCaL version: 2.1.3
% 4.66/1.44  % (2093619)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.44  % (2093619)Time elapsed: 0.001 s
% 4.66/1.44  % (2093619)Peak memory usage: 86 MB
% 4.66/1.44  % (2093608)------------------------------
% 4.66/1.44  % (2093608)------------------------------
% 4.66/1.44  % (2093609)------------------------------
% 4.66/1.44  % (2093609)------------------------------
% 4.66/1.44  % (2093620)------------------------------
% 4.66/1.44  % (2093620)------------------------------
% 4.66/1.44  % (2093623)lrs+1011_1_sil=32000:sp=occurrence:random_seed=630602224:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.66/1.44  % (2093624)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3463611745:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.66/1.44  % (2093623)Refutation not found, incomplete strategy
% 4.66/1.44  % (2093623)------------------------------
% 4.66/1.44  % (2093623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.44  % (2093623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.44  % (2093623)CaDiCaL version: 2.1.3
% 4.66/1.44  % (2093623)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.44  % (2093623)Time elapsed: 0.001 s
% 4.66/1.44  % (2093623)Peak memory usage: 86 MB
% 4.66/1.44  [W928 19:31:47.717876467 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717876490 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717906004 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717906607 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717940857 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717941857 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717953677 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717955657 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717980820 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717981140 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717991761 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.717992321 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.718108567 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.718135528 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.718171058 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.718183511 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.718208448 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  [W928 19:31:47.718219308 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.66/1.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.44  % (2093619)------------------------------
% 4.66/1.44  % (2093619)------------------------------
% 4.66/1.44  % (2093624)First to succeed.
% 4.66/1.44  % (2093624)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2093600"
% 4.66/1.44  % (2093625)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1609560504:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.66/1.44  % (2093625)Refutation not found, incomplete strategy
% 4.66/1.44  % (2093625)------------------------------
% 4.66/1.44  % (2093625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.44  % (2093625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.44  % (2093625)CaDiCaL version: 2.1.3
% 4.66/1.44  % (2093625)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.44  % (2093625)Time elapsed: 0.001 s
% 4.66/1.44  % (2093625)Peak memory usage: 86 MB
% 4.66/1.44  % (2093625)Instructions burned: 1 (million)
% 4.66/1.44  % (2093607)Refutation not found, incomplete strategy
% 4.66/1.44  % (2093607)------------------------------
% 4.66/1.44  % (2093607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.44  % (2093607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.44  % (2093607)CaDiCaL version: 2.1.3
% 4.66/1.44  % (2093607)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.44  % (2093607)Time elapsed: 0.569 s
% 4.66/1.44  % (2093607)Peak memory usage: 127 MB
% 4.66/1.44  % (2093607)Instructions burned: 850 (million)
% 4.66/1.44  % (2093628)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2438222982:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 4.66/1.44  % (2093623)------------------------------
% 4.66/1.44  % (2093623)------------------------------
% 4.66/1.44  % (2093624)Refutation found. Thanks to Tanya!
% 4.66/1.44  % SZS status Unsatisfiable for theBenchmark
% 4.66/1.44  % SZS output start Proof for theBenchmark
% See solution above
% 6.18/1.64  % (2093624)------------------------------
% 6.18/1.64  % (2093624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.64  % (2093624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.64  % (2093624)CaDiCaL version: 2.1.3
% 6.18/1.64  % (2093624)Termination reason: Refutation
% 6.18/1.64  % (2093624)Time elapsed: 0.097 s
% 6.18/1.64  % (2093624)Peak memory usage: 91 MB
% 6.18/1.64  % (2093624)Instructions burned: 285 (million)
% 6.18/1.64  % (2093624)------------------------------
% 6.18/1.64  % (2093624)------------------------------
% 6.18/1.64  % (2093600)Success in time 0.791 s
% 6.18/1.64  % Vampire exiting
%------------------------------------------------------------------------------