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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC344-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:03:33 PM UTC 2026

% Result   : Unsatisfiable 4.52s 1.38s
% Output   : Refutation 5.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :  174
% Syntax   : Number of formulae    : 1190 (  71 unt;  67 def)
%            Number of atoms       : 5265 (1077 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives : 7051 (2976   ~;4008   |;   0   &)
%                                         (  67 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   73 (  71 usr;  68 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :  818 (   0 sgn 818   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,plain,
    sk4 = app(app(sk5,sk3),sk6),
    inference(reorient_equations,[],[f208]) ).

fof(f210,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f211,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(X1,cons(X0,nil)) != sk5
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | app(cons(X2,nil),X3) != sk3
      | ~ lt(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f212,plain,
    ! [X2,X3,X0,X1] :
      ( sk5 != app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sk3 != app(cons(X2,nil),X3)
      | ~ lt(X0,X2) ),
    inference(reorient_equations,[],[f211]) ).

fof(f213,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) != sk6
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | app(X3,cons(X2,nil)) != sk3
      | ~ lt(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f214,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(X2,nil))
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) != sk6
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | ~ ssItem(X0)
      | ~ lt(X2,X0) ),
    inference(reorient_equations,[],[f213]) ).

fof(f215,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f216,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f216]) ).

fof(f218,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f218]) ).

fof(f220,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f220]) ).

fof(f222,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f222]) ).

fof(f224,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f224]) ).

fof(f226,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f226]) ).

fof(f228,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f228]) ).

fof(f230,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f230]) ).

fof(f232,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).

fof(f233,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f232]) ).

fof(f234,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f234]) ).

fof(f236,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).

fof(f237,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f236]) ).

fof(f238,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f238]) ).

fof(f240,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f240]) ).

fof(f242,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).

fof(f243,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f242]) ).

fof(f244,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f244]) ).

fof(f246,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_29) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f246]) ).

fof(f248,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_30) ).

fof(f249,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f248]) ).

fof(f250,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_31) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f250]) ).

fof(f252,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_32) ).

fof(f253,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f252]) ).

fof(f254,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_33) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f254]) ).

fof(f256,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_34) ).

fof(f257,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f256]) ).

fof(f258,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_35) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f258]) ).

fof(f260,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_36) ).

fof(f261,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f260]) ).

fof(f262,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_37) ).

fof(f263,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f262]) ).

fof(f264,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).

fof(f265,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f264]) ).

fof(f266,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_39) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f266]) ).

fof(f268,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_40) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f268]) ).

fof(f270,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_41) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f270]) ).

fof(f272,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_42) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f272]) ).

fof(f274,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_43) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f274]) ).

fof(f276,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_44) ).

fof(f277,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f276]) ).

fof(f278,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_45) ).

fof(f279,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f278]) ).

fof(f280,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_46) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f280]) ).

fof(f282,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_47) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f282]) ).

fof(f284,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_48) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f284]) ).

fof(f286,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_49) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f286]) ).

fof(f288,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_50) ).

fof(f289,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f288]) ).

fof(f290,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_51) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f290]) ).

fof(f292,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_52) ).

fof(f293,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f292]) ).

fof(f294,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_53) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f294]) ).

fof(f296,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_54) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f296]) ).

fof(f298,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_55) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f298]) ).

fof(f300,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_56) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f300]) ).

fof(f302,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_57) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f302]) ).

fof(f304,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_58) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f304]) ).

fof(f306,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_59) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f306]) ).

fof(f308,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_60) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f308]) ).

fof(f310,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_61) ).

fof(f311,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f310]) ).

fof(f312,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_62) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f312]) ).

fof(f314,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_63) ).

fof(f315,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    inference(reorient_equations,[],[f314]) ).

fof(f316,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_64) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f316]) ).

fof(f318,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_65) ).

fof(f319,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f318]) ).

fof(f320,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_66) ).

fof(f321,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f320]) ).

fof(f322,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_67) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f322]) ).

fof(f324,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_68) ).

fof(f325,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f324]) ).

fof(f326,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk7(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_69) ).

fof(f327,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk7(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f326]) ).

fof(f328,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_70) ).

fof(f329,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f328]) ).

fof(f330,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_71) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f330]) ).

fof(f332,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_72) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f332]) ).

fof(f334,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_73) ).

fof(f335,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f334]) ).

fof(f336,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_74) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f336]) ).

fof(f338,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_75) ).

fof(f339,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f338]) ).

fof(f340,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_76) ).

fof(f341,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f340]) ).

fof(f342,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_77) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f342]) ).

fof(f344,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_78) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f344]) ).

fof(f346,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_79) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f346]) ).

fof(f348,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_80) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f348]) ).

fof(f350,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk8(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_81) ).

fof(f351,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk8(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f350]) ).

fof(f352,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_82) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f352]) ).

fof(f354,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_83) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f354]) ).

fof(f356,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_84) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f356]) ).

fof(f358,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_85) ).

fof(f359,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f358]) ).

fof(f360,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_86) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f360]) ).

fof(f362,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_87) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f362]) ).

fof(f364,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_88) ).

fof(f365,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f364]) ).

fof(f366,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_89) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f366]) ).

fof(f368,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_90) ).

fof(f369,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f368]) ).

fof(f370,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_91) ).

fof(f371,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f370]) ).

fof(f372,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_92) ).

fof(f373,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f372]) ).

fof(f374,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_93) ).

fof(f375,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f374]) ).

fof(f376,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_94) ).

fof(f377,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f376]) ).

fof(f378,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_95) ).

fof(f379,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f378]) ).

fof(f380,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_96) ).

fof(f381,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f380]) ).

fof(f382,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_97) ).

fof(f383,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f382]) ).

fof(f384,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_98) ).

fof(f385,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f384]) ).

fof(f386,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssItem(sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_99) ).

fof(f387,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssItem(sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f386]) ).

fof(f388,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_100) ).

fof(f389,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f388]) ).

fof(f390,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_101) ).

fof(f391,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f390]) ).

fof(f392,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_102) ).

fof(f393,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f392]) ).

fof(f394,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_103) ).

fof(f395,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f394]) ).

fof(f396,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_104) ).

fof(f397,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f396]) ).

fof(f398,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | ssList(sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_105) ).

fof(f399,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | ssList(sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f398]) ).

fof(f400,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_106) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f400]) ).

fof(f402,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_107) ).

fof(f403,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f402]) ).

fof(f404,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_108) ).

fof(f405,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f404]) ).

fof(f406,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_109) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f406]) ).

fof(f408,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_110) ).

fof(f409,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f408]) ).

fof(f410,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X0,sk1),X1) != sk2
      | lt(sk7(X1,X0),sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_111) ).

fof(f411,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk2 != app(app(X0,sk1),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk1)
      | nil != sk2 ),
    inference(reorient_equations,[],[f410]) ).

fof(f414,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f217,f204,f205,f205,f205]) ).

fof(f415,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f219,f204,f205,f205,f204]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f221,f204,f205,f205,f205]) ).

fof(f417,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f223,f204,f205,f205,f205]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f225,f204,f205,f205,f205]) ).

fof(f419,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f227,f204,f205,f205,f205]) ).

fof(f420,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f229,f204,f205,f205,f205,f205]) ).

fof(f421,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f231,f204,f205,f205,f205]) ).

fof(f422,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f233,f204,f205,f205,f205]) ).

fof(f423,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f235,f204,f205,f205,f205]) ).

fof(f424,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f237,f204,f205,f205,f205]) ).

fof(f425,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f239,f204,f205,f205,f205]) ).

fof(f426,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f241,f204,f205,f205,f205,f205]) ).

fof(f427,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f243,f204,f205,f205,f205]) ).

fof(f428,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f245,f204,f205,f205,f205]) ).

fof(f429,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f247,f204,f205,f205,f205]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f249,f204,f205,f205,f205]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f251,f204,f205,f205,f205]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f253,f204,f205,f205,f205,f205]) ).

fof(f433,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f255,f204,f205,f205,f205]) ).

fof(f434,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f257,f204,f205,f205,f205]) ).

fof(f435,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f259,f204,f205,f205,f205]) ).

fof(f436,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f261,f204,f205,f205,f205]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f263,f204,f205,f205,f205,f205]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f265,f204,f205,f205,f205]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f267,f204,f205,f205,f205]) ).

fof(f440,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f269,f204,f205,f205,f205]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f271,f204,f205,f205,f205]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f273,f204,f205,f205,f205,f205]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f275,f204,f205,f205,f205]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f277,f204,f205,f205,f205]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f279,f204,f205,f205,f205]) ).

fof(f446,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f281,f204,f205,f205,f205,f205]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f283,f204,f205,f205,f205]) ).

fof(f448,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f285,f204,f205,f205,f205]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f287,f204,f205,f205,f205]) ).

fof(f450,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f289,f204,f205,f205,f205,f205]) ).

fof(f451,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f291,f204,f205,f205,f205]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f293,f204,f205,f205,f205]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f295,f204,f205,f205,f205,f205]) ).

fof(f454,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f297,f204,f205,f205,f205]) ).

fof(f455,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f299,f204,f205,f205,f205]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f301,f204,f205,f205,f205,f205]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f303,f204,f205,f205,f205]) ).

fof(f458,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f305,f204,f205,f205,f205,f205]) ).

fof(f459,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f307,f204,f205,f205,f205]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f309,f204,f205,f205,f205,f205,f205]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f311,f204,f205,f205,f205,f205]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f313,f204,f205,f205,f205,f205]) ).

fof(f463,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f315,f204,f205,f205,f205]) ).

fof(f464,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f317,f204,f205,f205,f204]) ).

fof(f465,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f319,f204,f205,f205,f204]) ).

fof(f466,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f321,f204,f205,f205,f204]) ).

fof(f467,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f323,f204,f205,f205,f204]) ).

fof(f468,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f325,f204,f205,f205,f205,f204]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk7(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f327,f204,f205,f205,f204]) ).

fof(f470,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f329,f204,f205,f205,f204]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f331,f204,f205,f205,f204]) ).

fof(f472,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f333,f204,f205,f205,f204]) ).

fof(f473,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f335,f204,f205,f205,f204]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f337,f204,f205,f205,f205,f204]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f339,f204,f205,f205,f204]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f341,f204,f205,f205,f204]) ).

fof(f477,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f343,f204,f205,f205,f204]) ).

fof(f478,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f345,f204,f205,f205,f204]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f347,f204,f205,f205,f204]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f349,f204,f205,f205,f205,f204]) ).

fof(f481,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk8(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f351,f204,f205,f205,f204]) ).

fof(f482,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f353,f204,f205,f205,f204]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f355,f204,f205,f205,f204]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f357,f204,f205,f205,f204]) ).

fof(f485,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f359,f204,f205,f205,f205,f204]) ).

fof(f486,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk12(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f361,f204,f205,f205,f204]) ).

fof(f487,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f363,f204,f205,f205,f204]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f365,f204,f205,f205,f204]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f367,f204,f205,f205,f204]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f369,f204,f205,f205,f205,f204]) ).

fof(f491,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f371,f204,f205,f205,f204]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f373,f204,f205,f205,f204]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f375,f204,f205,f205,f204]) ).

fof(f494,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f377,f204,f205,f205,f205,f204]) ).

fof(f495,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f379,f204,f205,f205,f204]) ).

fof(f496,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f381,f204,f205,f205,f204]) ).

fof(f497,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f383,f204,f205,f205,f204]) ).

fof(f498,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f385,f204,f205,f205,f205,f204]) ).

fof(f499,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssItem(sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f387,f204,f205,f205,f204]) ).

fof(f500,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f389,f204,f205,f205,f204]) ).

fof(f501,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f391,f204,f205,f205,f205,f204]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssItem(sk13(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f393,f204,f205,f205,f204]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f395,f204,f205,f205,f204]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f397,f204,f205,f205,f205,f204]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ssList(sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f399,f204,f205,f205,f204]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f401,f204,f205,f205,f205,f204]) ).

fof(f507,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ssList(sk14(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f403,f204,f205,f205,f204]) ).

fof(f508,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f405,f204,f205,f205,f205,f205,f204]) ).

fof(f509,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f407,f204,f205,f205,f205,f204]) ).

fof(f510,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f409,f204,f205,f205,f205,f204]) ).

fof(f511,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | lt(sk13(X1,X0),sk11(X1,X0))
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f411,f204,f205,f205,f204]) ).

fof(f543,definition,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f547,definition,
    ( spl0_2
  <=> strictorderedP(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f551,definition,
    ( spl0_3
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f552,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f511,f551,f547,f543]) ).

fof(f555,definition,
    ( spl0_4
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f556,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f557,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f510,f555,f547,f543]) ).

fof(f559,definition,
    ( spl0_5
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f560,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f509,f559,f547,f543]) ).

fof(f563,definition,
    ( spl0_6
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f508,f563,f547,f543]) ).

fof(f567,definition,
    ( spl0_7
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk14(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f568,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk14(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f507,f567,f547,f543]) ).

fof(f571,definition,
    ( spl0_8
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk14(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f572,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk14(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f573,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f506,f571,f547,f543]) ).

fof(f575,definition,
    ( spl0_9
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssList(sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f576,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssList(sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f577,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f505,f575,f547,f543]) ).

fof(f579,definition,
    ( spl0_10
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssList(sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f580,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssList(sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f581,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_split_clause,[],[f504,f579,f547,f543]) ).

fof(f583,definition,
    ( spl0_11
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk14(X1,X0))
        | ssList(sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f584,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk14(X1,X0))
        | ssList(sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f503,f583,f547,f543]) ).

fof(f587,definition,
    ( spl0_12
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk13(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk13(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_split_clause,[],[f502,f587,f547,f543]) ).

fof(f591,definition,
    ( spl0_13
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk13(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f592,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk13(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(avatar_split_clause,[],[f501,f591,f547,f543]) ).

fof(f595,definition,
    ( spl0_14
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk13(X1,X0))
        | ssList(sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f596,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk13(X1,X0))
        | ssList(sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f597,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_14 ),
    inference(avatar_split_clause,[],[f500,f595,f547,f543]) ).

fof(f599,definition,
    ( spl0_15
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssItem(sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f600,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssItem(sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f601,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f499,f599,f547,f543]) ).

fof(f603,definition,
    ( spl0_16
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssItem(sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f604,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssItem(sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f498,f603,f547,f543]) ).

fof(f607,definition,
    ( spl0_17
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk14(X1,X0))
        | ssItem(sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f608,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk14(X1,X0))
        | ssItem(sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_17 ),
    inference(avatar_split_clause,[],[f497,f607,f547,f543]) ).

fof(f611,definition,
    ( spl0_18
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk13(X1,X0))
        | ssItem(sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f612,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk13(X1,X0))
        | ssItem(sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f613,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f496,f611,f547,f543]) ).

fof(f615,definition,
    ( spl0_19
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | lt(sk7(X1,X0),sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f616,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | lt(sk7(X1,X0),sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_19 ),
    inference(avatar_split_clause,[],[f495,f615,f547,f543]) ).

fof(f619,definition,
    ( spl0_20
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f620,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f621,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_20 ),
    inference(avatar_split_clause,[],[f494,f619,f547,f543]) ).

fof(f623,definition,
    ( spl0_21
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssList(sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f624,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssList(sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f625,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_21 ),
    inference(avatar_split_clause,[],[f493,f623,f547,f543]) ).

fof(f627,definition,
    ( spl0_22
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssItem(sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f628,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssItem(sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f629,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_22 ),
    inference(avatar_split_clause,[],[f492,f627,f547,f543]) ).

fof(f631,definition,
    ( spl0_23
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f632,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f633,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_23 ),
    inference(avatar_split_clause,[],[f491,f631,f547,f543]) ).

fof(f635,definition,
    ( spl0_24
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f636,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f637,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_24 ),
    inference(avatar_split_clause,[],[f490,f635,f547,f543]) ).

fof(f639,definition,
    ( spl0_25
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk14(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f640,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk14(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_25 ),
    inference(avatar_split_clause,[],[f489,f639,f547,f543]) ).

fof(f643,definition,
    ( spl0_26
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk13(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f644,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk13(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f645,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_26 ),
    inference(avatar_split_clause,[],[f488,f643,f547,f543]) ).

fof(f647,definition,
    ( spl0_27
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f648,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_27 ),
    inference(avatar_split_clause,[],[f487,f647,f547,f543]) ).

fof(f651,definition,
    ( spl0_28
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk12(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f652,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk12(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f653,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_28 ),
    inference(avatar_split_clause,[],[f486,f651,f547,f543]) ).

fof(f655,definition,
    ( spl0_29
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk12(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f656,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk12(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_29 ),
    inference(avatar_split_clause,[],[f485,f655,f547,f543]) ).

fof(f659,definition,
    ( spl0_30
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk12(X1,X0))
        | ssList(sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f660,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk12(X1,X0))
        | ssList(sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f661,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_30 ),
    inference(avatar_split_clause,[],[f484,f659,f547,f543]) ).

fof(f663,definition,
    ( spl0_31
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk12(X1,X0))
        | ssItem(sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f664,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk12(X1,X0))
        | ssItem(sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f665,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_31 ),
    inference(avatar_split_clause,[],[f483,f663,f547,f543]) ).

fof(f667,definition,
    ( spl0_32
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk12(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f668,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk12(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_32 ),
    inference(avatar_split_clause,[],[f482,f667,f547,f543]) ).

fof(f671,definition,
    ( spl0_33
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssList(sk8(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f672,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssList(sk8(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f673,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_33 ),
    inference(avatar_split_clause,[],[f481,f671,f547,f543]) ).

fof(f675,definition,
    ( spl0_34
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssList(sk8(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f676,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssList(sk8(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f677,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_34 ),
    inference(avatar_split_clause,[],[f480,f675,f547,f543]) ).

fof(f679,definition,
    ( spl0_35
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk14(X1,X0))
        | ssList(sk8(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f680,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk14(X1,X0))
        | ssList(sk8(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_35 ),
    inference(avatar_split_clause,[],[f479,f679,f547,f543]) ).

fof(f683,definition,
    ( spl0_36
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk13(X1,X0))
        | ssList(sk8(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f684,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk13(X1,X0))
        | ssList(sk8(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f685,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_36 ),
    inference(avatar_split_clause,[],[f478,f683,f547,f543]) ).

fof(f687,definition,
    ( spl0_37
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssList(sk8(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f688,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssList(sk8(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_37 ),
    inference(avatar_split_clause,[],[f477,f687,f547,f543]) ).

fof(f691,definition,
    ( spl0_38
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk12(X1,X0))
        | ssList(sk8(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f692,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk12(X1,X0))
        | ssList(sk8(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f693,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_38 ),
    inference(avatar_split_clause,[],[f476,f691,f547,f543]) ).

fof(f695,definition,
    ( spl0_39
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk11(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f696,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk11(X1,X0))
        | lt(sk7(X1,X0),sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f697,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_39 ),
    inference(avatar_split_clause,[],[f475,f695,f547,f543]) ).

fof(f699,definition,
    ( spl0_40
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk11(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f700,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk11(X1,X0))
        | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f701,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_40 ),
    inference(avatar_split_clause,[],[f474,f699,f547,f543]) ).

fof(f703,definition,
    ( spl0_41
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk11(X1,X0))
        | ssList(sk10(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f704,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk11(X1,X0))
        | ssList(sk10(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f705,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_41 ),
    inference(avatar_split_clause,[],[f473,f703,f547,f543]) ).

fof(f707,definition,
    ( spl0_42
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk11(X1,X0))
        | ssItem(sk9(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f708,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk11(X1,X0))
        | ssItem(sk9(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_42 ),
    inference(avatar_split_clause,[],[f472,f707,f547,f543]) ).

fof(f711,definition,
    ( spl0_43
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk11(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f712,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk11(X1,X0))
        | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f713,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_43 ),
    inference(avatar_split_clause,[],[f471,f711,f547,f543]) ).

fof(f715,definition,
    ( spl0_44
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk11(X1,X0))
        | ssList(sk8(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f716,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk11(X1,X0))
        | ssList(sk8(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f717,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_44 ),
    inference(avatar_split_clause,[],[f470,f715,f547,f543]) ).

fof(f719,definition,
    ( spl0_45
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssItem(sk7(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f720,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | lt(sk13(X1,X0),sk11(X1,X0))
        | ssItem(sk7(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_45 ),
    inference(avatar_split_clause,[],[f469,f719,f547,f543]) ).

fof(f723,definition,
    ( spl0_46
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssItem(sk7(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f724,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
        | ssItem(sk7(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f725,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_46 ),
    inference(avatar_split_clause,[],[f468,f723,f547,f543]) ).

fof(f727,definition,
    ( spl0_47
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk14(X1,X0))
        | ssItem(sk7(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f728,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk14(X1,X0))
        | ssItem(sk7(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f729,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_47 ),
    inference(avatar_split_clause,[],[f467,f727,f547,f543]) ).

fof(f731,definition,
    ( spl0_48
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk13(X1,X0))
        | ssItem(sk7(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f732,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk13(X1,X0))
        | ssItem(sk7(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f733,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_48 ),
    inference(avatar_split_clause,[],[f466,f731,f547,f543]) ).

fof(f735,definition,
    ( spl0_49
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssItem(sk7(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f736,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
        | ssItem(sk7(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_49 ),
    inference(avatar_split_clause,[],[f465,f735,f547,f543]) ).

fof(f739,definition,
    ( spl0_50
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssList(sk12(X1,X0))
        | ssItem(sk7(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f740,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssList(sk12(X1,X0))
        | ssItem(sk7(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f741,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_50 ),
    inference(avatar_split_clause,[],[f464,f739,f547,f543]) ).

fof(f743,definition,
    ( spl0_51
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f463,f551,f547,f743]) ).

fof(f747,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f462,f555,f547,f743]) ).

fof(f748,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f461,f559,f547,f743]) ).

fof(f749,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f460,f563,f547,f743]) ).

fof(f750,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f459,f567,f547,f743]) ).

fof(f751,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f458,f571,f547,f743]) ).

fof(f752,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f457,f575,f547,f743]) ).

fof(f753,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_split_clause,[],[f456,f579,f547,f743]) ).

fof(f754,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f455,f583,f547,f743]) ).

fof(f755,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_split_clause,[],[f454,f587,f547,f743]) ).

fof(f756,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_13 ),
    inference(avatar_split_clause,[],[f453,f591,f547,f743]) ).

fof(f757,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_14 ),
    inference(avatar_split_clause,[],[f452,f595,f547,f743]) ).

fof(f758,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f451,f599,f547,f743]) ).

fof(f759,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f450,f603,f547,f743]) ).

fof(f760,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_17 ),
    inference(avatar_split_clause,[],[f449,f607,f547,f743]) ).

fof(f761,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f448,f611,f547,f743]) ).

fof(f762,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_19 ),
    inference(avatar_split_clause,[],[f447,f615,f547,f743]) ).

fof(f763,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_20 ),
    inference(avatar_split_clause,[],[f446,f619,f547,f743]) ).

fof(f764,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_21 ),
    inference(avatar_split_clause,[],[f445,f623,f547,f743]) ).

fof(f765,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_22 ),
    inference(avatar_split_clause,[],[f444,f627,f547,f743]) ).

fof(f766,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_23 ),
    inference(avatar_split_clause,[],[f443,f631,f547,f743]) ).

fof(f767,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_24 ),
    inference(avatar_split_clause,[],[f442,f635,f547,f743]) ).

fof(f768,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_25 ),
    inference(avatar_split_clause,[],[f441,f639,f547,f743]) ).

fof(f769,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_26 ),
    inference(avatar_split_clause,[],[f440,f643,f547,f743]) ).

fof(f770,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_27 ),
    inference(avatar_split_clause,[],[f439,f647,f547,f743]) ).

fof(f771,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_28 ),
    inference(avatar_split_clause,[],[f438,f651,f547,f743]) ).

fof(f772,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_29 ),
    inference(avatar_split_clause,[],[f437,f655,f547,f743]) ).

fof(f773,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_30 ),
    inference(avatar_split_clause,[],[f436,f659,f547,f743]) ).

fof(f774,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_31 ),
    inference(avatar_split_clause,[],[f435,f663,f547,f743]) ).

fof(f775,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_32 ),
    inference(avatar_split_clause,[],[f434,f667,f547,f743]) ).

fof(f776,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_33 ),
    inference(avatar_split_clause,[],[f433,f671,f547,f743]) ).

fof(f777,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_34 ),
    inference(avatar_split_clause,[],[f432,f675,f547,f743]) ).

fof(f778,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_35 ),
    inference(avatar_split_clause,[],[f431,f679,f547,f743]) ).

fof(f779,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_36 ),
    inference(avatar_split_clause,[],[f430,f683,f547,f743]) ).

fof(f780,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_37 ),
    inference(avatar_split_clause,[],[f429,f687,f547,f743]) ).

fof(f781,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_38 ),
    inference(avatar_split_clause,[],[f428,f691,f547,f743]) ).

fof(f782,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_39 ),
    inference(avatar_split_clause,[],[f427,f695,f547,f743]) ).

fof(f783,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_40 ),
    inference(avatar_split_clause,[],[f426,f699,f547,f743]) ).

fof(f784,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_41 ),
    inference(avatar_split_clause,[],[f425,f703,f547,f743]) ).

fof(f785,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_42 ),
    inference(avatar_split_clause,[],[f424,f707,f547,f743]) ).

fof(f786,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_43 ),
    inference(avatar_split_clause,[],[f423,f711,f547,f743]) ).

fof(f787,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_44 ),
    inference(avatar_split_clause,[],[f422,f715,f547,f743]) ).

fof(f788,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_45 ),
    inference(avatar_split_clause,[],[f421,f719,f547,f743]) ).

fof(f789,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_46 ),
    inference(avatar_split_clause,[],[f420,f723,f547,f743]) ).

fof(f790,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_47 ),
    inference(avatar_split_clause,[],[f419,f727,f547,f743]) ).

fof(f791,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_48 ),
    inference(avatar_split_clause,[],[f418,f731,f547,f743]) ).

fof(f792,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_49 ),
    inference(avatar_split_clause,[],[f417,f735,f547,f743]) ).

fof(f793,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_50 ),
    inference(avatar_split_clause,[],[f416,f739,f547,f743]) ).

fof(f795,definition,
    ( spl0_52
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ssItem(sk11(X1,X0))
        | ssItem(sk7(X1,X0))
        | sk4 != app(app(X0,sk3),X1)
        | ~ ssList(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f796,plain,
    ( ! [X0,X1] :
        ( sk4 != app(app(X0,sk3),X1)
        | ssItem(sk11(X1,X0))
        | ssItem(sk7(X1,X0))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f797,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_52 ),
    inference(avatar_split_clause,[],[f415,f795,f547,f543]) ).

fof(f798,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_52 ),
    inference(avatar_split_clause,[],[f414,f795,f547,f743]) ).

fof(f799,plain,
    ( ~ spl0_51
    | spl0_1 ),
    inference(avatar_split_clause,[],[f215,f543,f743]) ).

fof(f800,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f210,f547]) ).

fof(f843,plain,
    ( sk4 != sk4
    | ssList(sk14(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_11 ),
    inference(superposition,[],[f584,f209]) ).

fof(f844,plain,
    ( ssList(sk14(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f843]) ).

fof(f845,plain,
    ( ssList(sk14(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f844,f206]) ).

fof(f846,plain,
    ( ssList(sk14(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f845,f207]) ).

fof(f848,definition,
    ( spl0_62
  <=> ssList(sk10(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f850,plain,
    ( ssList(sk10(sk6,sk5))
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f852,definition,
    ( spl0_63
  <=> ssList(sk14(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f853,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | spl0_63 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f854,plain,
    ( ssList(sk14(sk6,sk5))
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f855,plain,
    ( spl0_62
    | spl0_63
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f846,f583,f852,f848]) ).

fof(f856,plain,
    ( sk4 != sk4
    | ssItem(sk13(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_14 ),
    inference(superposition,[],[f596,f209]) ).

fof(f857,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f856]) ).

fof(f858,plain,
    ( sk4 != sk4
    | ssList(sk14(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_17 ),
    inference(superposition,[],[f608,f209]) ).

fof(f859,plain,
    ( ssList(sk14(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f858]) ).

fof(f860,plain,
    ( sk4 != sk4
    | ssItem(sk13(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_18 ),
    inference(superposition,[],[f612,f209]) ).

fof(f861,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f860]) ).

fof(f862,plain,
    ( sk4 != sk4
    | ssList(sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_30 ),
    inference(superposition,[],[f660,f209]) ).

fof(f863,plain,
    ( ssList(sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f862]) ).

fof(f864,plain,
    ( ssList(sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f863,f206]) ).

fof(f865,plain,
    ( ssList(sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f864,f207]) ).

fof(f867,definition,
    ( spl0_64
  <=> ssList(sk12(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | spl0_64 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f869,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f870,plain,
    ( spl0_62
    | spl0_64
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f865,f659,f867,f848]) ).

fof(f871,plain,
    ( sk4 != sk4
    | ssList(sk12(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_31 ),
    inference(superposition,[],[f664,f209]) ).

fof(f872,plain,
    ( ssList(sk12(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f871]) ).

fof(f873,plain,
    ( sk4 != sk4
    | ssList(sk14(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_35 ),
    inference(superposition,[],[f680,f209]) ).

fof(f874,plain,
    ( ssList(sk14(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_35 ),
    inference(trivial_inequality_removal,[],[f873]) ).

fof(f875,plain,
    ( sk4 != sk4
    | ssItem(sk13(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_36 ),
    inference(superposition,[],[f684,f209]) ).

fof(f876,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_36 ),
    inference(trivial_inequality_removal,[],[f875]) ).

fof(f877,plain,
    ( sk4 != sk4
    | ssList(sk12(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_38 ),
    inference(superposition,[],[f692,f209]) ).

fof(f878,plain,
    ( ssList(sk12(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_38 ),
    inference(trivial_inequality_removal,[],[f877]) ).

fof(f879,plain,
    ( sk4 != sk4
    | ssItem(sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_41 ),
    inference(superposition,[],[f704,f209]) ).

fof(f880,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_41 ),
    inference(trivial_inequality_removal,[],[f879]) ).

fof(f881,plain,
    ( sk4 != sk4
    | ssItem(sk11(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_42 ),
    inference(superposition,[],[f708,f209]) ).

fof(f882,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_42 ),
    inference(trivial_inequality_removal,[],[f881]) ).

fof(f883,plain,
    ( sk4 != sk4
    | ssItem(sk11(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_44 ),
    inference(superposition,[],[f716,f209]) ).

fof(f884,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_44 ),
    inference(trivial_inequality_removal,[],[f883]) ).

fof(f885,plain,
    ( sk4 != sk4
    | ssList(sk14(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_47 ),
    inference(superposition,[],[f728,f209]) ).

fof(f886,plain,
    ( ssList(sk14(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_47 ),
    inference(trivial_inequality_removal,[],[f885]) ).

fof(f887,plain,
    ( sk4 != sk4
    | ssItem(sk13(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_48 ),
    inference(superposition,[],[f732,f209]) ).

fof(f888,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_48 ),
    inference(trivial_inequality_removal,[],[f887]) ).

fof(f889,plain,
    ( sk4 != sk4
    | ssList(sk12(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_50 ),
    inference(superposition,[],[f740,f209]) ).

fof(f890,plain,
    ( ssList(sk12(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_50 ),
    inference(trivial_inequality_removal,[],[f889]) ).

fof(f891,plain,
    ( sk4 != sk4
    | ssItem(sk11(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_52 ),
    inference(superposition,[],[f796,f209]) ).

fof(f892,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f891]) ).

fof(f893,plain,
    ( sk4 != sk4
    | ssList(sk14(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_7 ),
    inference(superposition,[],[f568,f209]) ).

fof(f894,plain,
    ( ssList(sk14(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f893]) ).

fof(f895,plain,
    ( sk4 != sk4
    | lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_9 ),
    inference(superposition,[],[f576,f209]) ).

fof(f896,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f895]) ).

fof(f897,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f896,f206]) ).

fof(f898,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f897,f207]) ).

fof(f900,definition,
    ( spl0_65
  <=> lt(sk13(sk6,sk5),sk11(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f901,plain,
    ( ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | spl0_65 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f902,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f903,plain,
    ( spl0_62
    | spl0_65
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f898,f575,f900,f848]) ).

fof(f904,plain,
    ( sk4 != sk4
    | ssItem(sk13(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_12 ),
    inference(superposition,[],[f588,f209]) ).

fof(f905,plain,
    ( ssItem(sk13(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f904]) ).

fof(f906,plain,
    ( sk4 != sk4
    | lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_15 ),
    inference(superposition,[],[f600,f209]) ).

fof(f907,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f906]) ).

fof(f908,plain,
    ( sk4 != sk4
    | ssList(sk12(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_28 ),
    inference(superposition,[],[f652,f209]) ).

fof(f909,plain,
    ( ssList(sk12(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f908]) ).

fof(f910,plain,
    ( sk4 != sk4
    | lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_33 ),
    inference(superposition,[],[f672,f209]) ).

fof(f911,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f910]) ).

fof(f912,plain,
    ( sk4 != sk4
    | ssItem(sk11(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_39 ),
    inference(superposition,[],[f696,f209]) ).

fof(f913,plain,
    ( ssItem(sk11(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_39 ),
    inference(trivial_inequality_removal,[],[f912]) ).

fof(f914,plain,
    ( sk4 != sk4
    | lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_45 ),
    inference(superposition,[],[f720,f209]) ).

fof(f915,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_45 ),
    inference(trivial_inequality_removal,[],[f914]) ).

fof(f916,plain,
    ( sk4 != sk4
    | lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_3 ),
    inference(superposition,[],[f552,f209]) ).

fof(f917,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f916]) ).

fof(f918,plain,
    ( sk4 != sk4
    | ssList(sk14(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_8 ),
    inference(superposition,[],[f572,f209]) ).

fof(f919,plain,
    ( ssList(sk14(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f918]) ).

fof(f920,plain,
    ( sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_10 ),
    inference(superposition,[],[f580,f209]) ).

fof(f921,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f920]) ).

fof(f922,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f921,f206]) ).

fof(f923,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssList(sk10(sk6,sk5))
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f922,f207]) ).

fof(f925,definition,
    ( spl0_66
  <=> sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f926,plain,
    ( sk3 != app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | spl0_66 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f927,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f928,plain,
    ( spl0_62
    | spl0_66
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f923,f579,f925,f848]) ).

fof(f946,plain,
    ( sk4 != sk4
    | ssItem(sk13(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_13 ),
    inference(superposition,[],[f592,f209]) ).

fof(f947,plain,
    ( ssItem(sk13(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f946]) ).

fof(f948,plain,
    ( sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_16 ),
    inference(superposition,[],[f604,f209]) ).

fof(f949,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f948]) ).

fof(f950,plain,
    ( sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_21 ),
    inference(superposition,[],[f624,f209]) ).

fof(f951,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f950]) ).

fof(f952,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f951,f206]) ).

fof(f953,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f952,f207]) ).

fof(f955,definition,
    ( spl0_69
  <=> sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f956,plain,
    ( sk6 != app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | spl0_69 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f957,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( spl0_62
    | spl0_69
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f953,f623,f955,f848]) ).

fof(f964,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_35
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f874,f853]) ).

fof(f967,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_35
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f964,f206]) ).

fof(f970,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ spl0_35
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f967,f207]) ).

fof(f973,plain,
    ( sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_22 ),
    inference(superposition,[],[f628,f209]) ).

fof(f974,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_22 ),
    inference(trivial_inequality_removal,[],[f973]) ).

fof(f975,plain,
    ( sk4 != sk4
    | ssList(sk14(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_25 ),
    inference(superposition,[],[f640,f209]) ).

fof(f976,plain,
    ( ssList(sk14(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_25 ),
    inference(trivial_inequality_removal,[],[f975]) ).

fof(f980,plain,
    ( sk4 != sk4
    | ssItem(sk13(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_26 ),
    inference(superposition,[],[f644,f209]) ).

fof(f981,plain,
    ( ssItem(sk13(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f980]) ).

fof(f1004,plain,
    ( sk4 != sk4
    | ssList(sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_29 ),
    inference(superposition,[],[f656,f209]) ).

fof(f1005,plain,
    ( ssList(sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f1004]) ).

fof(f1006,plain,
    ( sk4 != sk4
    | ssList(sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_32 ),
    inference(superposition,[],[f668,f209]) ).

fof(f1007,plain,
    ( ssList(sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_32 ),
    inference(trivial_inequality_removal,[],[f1006]) ).

fof(f1008,plain,
    ( sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_34 ),
    inference(superposition,[],[f676,f209]) ).

fof(f1009,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_34 ),
    inference(trivial_inequality_removal,[],[f1008]) ).

fof(f1013,plain,
    ( sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_37 ),
    inference(superposition,[],[f688,f209]) ).

fof(f1014,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f1013]) ).

fof(f1015,plain,
    ( sk4 != sk4
    | ssItem(sk11(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_40 ),
    inference(superposition,[],[f700,f209]) ).

fof(f1016,plain,
    ( ssItem(sk11(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_40 ),
    inference(trivial_inequality_removal,[],[f1015]) ).

fof(f1017,plain,
    ( sk4 != sk4
    | ssItem(sk11(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_43 ),
    inference(superposition,[],[f712,f209]) ).

fof(f1018,plain,
    ( ssItem(sk11(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1017]) ).

fof(f1019,plain,
    ( sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_46 ),
    inference(superposition,[],[f724,f209]) ).

fof(f1020,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f1019]) ).

fof(f1021,plain,
    ( sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_49 ),
    inference(superposition,[],[f736,f209]) ).

fof(f1022,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_49 ),
    inference(trivial_inequality_removal,[],[f1021]) ).

fof(f1023,plain,
    ( sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_4 ),
    inference(superposition,[],[f556,f209]) ).

fof(f1024,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1023]) ).

fof(f1025,plain,
    ( lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_4
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1024,f926]) ).

fof(f1026,plain,
    ( lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_4
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1025,f206]) ).

fof(f1027,plain,
    ( lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ spl0_4
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1026,f207]) ).

fof(f1028,plain,
    ( sk4 != sk4
    | lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_5 ),
    inference(superposition,[],[f560,f209]) ).

fof(f1029,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f1028]) ).

fof(f1030,plain,
    ( sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_19 ),
    inference(superposition,[],[f616,f209]) ).

fof(f1031,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1030]) ).

fof(f1032,plain,
    ( sk4 != sk4
    | lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_23 ),
    inference(superposition,[],[f632,f209]) ).

fof(f1033,plain,
    ( lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f1032]) ).

fof(f1034,plain,
    ( sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_6 ),
    inference(superposition,[],[f564,f209]) ).

fof(f1035,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1034]) ).

fof(f1039,plain,
    ( sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_20 ),
    inference(superposition,[],[f620,f209]) ).

fof(f1040,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f1039]) ).

fof(f1041,plain,
    ( sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_24 ),
    inference(superposition,[],[f636,f209]) ).

fof(f1042,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f1041]) ).

fof(f1072,plain,
    ( sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_27 ),
    inference(superposition,[],[f648,f209]) ).

fof(f1073,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_27 ),
    inference(trivial_inequality_removal,[],[f1072]) ).

fof(f1074,plain,
    ( ! [X0,X1] :
        ( sk3 != sk3
        | ~ ssList(X0)
        | sk6 != app(cons(X1,nil),X0)
        | ~ ssItem(sk13(sk6,sk5))
        | ~ ssList(sk14(sk6,sk5))
        | ~ ssItem(X1)
        | ~ lt(sk13(sk6,sk5),X1) )
    | ~ spl0_66 ),
    inference(superposition,[],[f214,f927]) ).

fof(f1076,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | sk6 != app(cons(X1,nil),X0)
        | ~ ssItem(sk13(sk6,sk5))
        | ~ ssList(sk14(sk6,sk5))
        | ~ ssItem(X1)
        | ~ lt(sk13(sk6,sk5),X1) )
    | ~ spl0_66 ),
    inference(trivial_inequality_removal,[],[f1074]) ).

fof(f1150,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f857,f206]) ).

fof(f1151,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f861,f206]) ).

fof(f1152,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f876,f206]) ).

fof(f1153,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f880,f206]) ).

fof(f1154,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f882,f206]) ).

fof(f1155,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f884,f206]) ).

fof(f1156,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f888,f206]) ).

fof(f1157,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[],[f892,f206]) ).

fof(f1158,plain,
    ( ssItem(sk13(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f905,f206]) ).

fof(f1159,plain,
    ( ssItem(sk11(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f913,f206]) ).

fof(f1160,plain,
    ( ssItem(sk13(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f947,f206]) ).

fof(f1161,plain,
    ( ssItem(sk13(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk6)
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f981,f206]) ).

fof(f1162,plain,
    ( ssItem(sk11(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1016,f206]) ).

fof(f1163,plain,
    ( ssItem(sk11(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk6)
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1018,f206]) ).

fof(f1164,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | sk6 != app(cons(X1,nil),X0)
        | ~ ssItem(sk13(sk6,sk5))
        | ~ ssItem(X1)
        | ~ lt(sk13(sk6,sk5),X1) )
    | ~ spl0_63
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1076,f854]) ).

fof(f1165,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1150,f207]) ).

fof(f1166,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1151,f207]) ).

fof(f1167,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f1152,f207]) ).

fof(f1168,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f1153,f207]) ).

fof(f1169,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssItem(sk9(sk6,sk5))
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f1154,f207]) ).

fof(f1170,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f1155,f207]) ).

fof(f1171,plain,
    ( ssItem(sk13(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1156,f207]) ).

fof(f1172,plain,
    ( ssItem(sk11(sk6,sk5))
    | ssItem(sk7(sk6,sk5))
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[],[f1157,f207]) ).

fof(f1173,plain,
    ( ssItem(sk13(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f1158,f207]) ).

fof(f1174,plain,
    ( ssItem(sk11(sk6,sk5))
    | lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f1159,f207]) ).

fof(f1175,plain,
    ( ssItem(sk13(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1160,f207]) ).

fof(f1176,plain,
    ( ssItem(sk13(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f1161,f207]) ).

fof(f1177,plain,
    ( ssItem(sk11(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1162,f207]) ).

fof(f1178,plain,
    ( ssItem(sk11(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1163,f207]) ).

fof(f1180,definition,
    ( spl0_73
  <=> ssItem(sk13(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f1184,definition,
    ( spl0_74
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ lt(sk13(sk6,sk5),X1)
        | ~ ssItem(X1)
        | sk6 != app(cons(X1,nil),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f1185,plain,
    ( ! [X0,X1] :
        ( sk6 != app(cons(X1,nil),X0)
        | ~ lt(sk13(sk6,sk5),X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1186,plain,
    ( ~ spl0_73
    | spl0_74
    | ~ spl0_63
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1164,f925,f852,f1184,f1180]) ).

fof(f1187,plain,
    ( spl0_62
    | spl0_73
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1165,f595,f1180,f848]) ).

fof(f1189,definition,
    ( spl0_75
  <=> ssItem(sk9(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f1190,plain,
    ( ~ ssItem(sk9(sk6,sk5))
    | spl0_75 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f1191,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f1192,plain,
    ( spl0_75
    | spl0_73
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1166,f611,f1180,f1189]) ).

fof(f1194,definition,
    ( spl0_76
  <=> ssList(sk8(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f1195,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | spl0_76 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f1196,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f1197,plain,
    ( spl0_76
    | spl0_73
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1167,f683,f1180,f1194]) ).

fof(f1199,definition,
    ( spl0_77
  <=> ssItem(sk11(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f1201,plain,
    ( ssItem(sk11(sk6,sk5))
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1202,plain,
    ( spl0_62
    | spl0_77
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1168,f703,f1199,f848]) ).

fof(f1203,plain,
    ( spl0_75
    | spl0_77
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1169,f707,f1199,f1189]) ).

fof(f1204,plain,
    ( spl0_76
    | spl0_77
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1170,f715,f1199,f1194]) ).

fof(f1206,definition,
    ( spl0_78
  <=> ssItem(sk7(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f1207,plain,
    ( ~ ssItem(sk7(sk6,sk5))
    | spl0_78 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f1208,plain,
    ( ssItem(sk7(sk6,sk5))
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f1209,plain,
    ( spl0_78
    | spl0_73
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1171,f731,f1180,f1206]) ).

fof(f1210,plain,
    ( spl0_78
    | spl0_77
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1172,f795,f1199,f1206]) ).

fof(f1212,definition,
    ( spl0_79
  <=> lt(sk7(sk6,sk5),sk9(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f1213,plain,
    ( ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | spl0_79 ),
    inference(avatar_component_clause,[],[f1212]) ).

fof(f1215,plain,
    ( spl0_79
    | spl0_73
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1173,f587,f1180,f1212]) ).

fof(f1216,plain,
    ( spl0_79
    | spl0_77
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1174,f695,f1199,f1212]) ).

fof(f1218,definition,
    ( spl0_80
  <=> sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f1219,plain,
    ( sk3 != app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | spl0_80 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1220,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1221,plain,
    ( spl0_80
    | spl0_73
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1175,f591,f1180,f1218]) ).

fof(f1223,definition,
    ( spl0_81
  <=> sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f1224,plain,
    ( sk5 != app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | spl0_81 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1225,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1226,plain,
    ( spl0_81
    | spl0_73
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1176,f643,f1180,f1223]) ).

fof(f1227,plain,
    ( spl0_80
    | spl0_77
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1177,f699,f1199,f1218]) ).

fof(f1228,plain,
    ( spl0_81
    | spl0_77
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1178,f711,f1199,f1223]) ).

fof(f1229,plain,
    ( sk6 != sk6
    | ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ~ ssItem(sk11(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | ~ spl0_69
    | ~ spl0_74 ),
    inference(superposition,[],[f1185,f957]) ).

fof(f1230,plain,
    ( ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
    | ~ ssItem(sk11(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | ~ spl0_69
    | ~ spl0_74 ),
    inference(trivial_inequality_removal,[],[f1229]) ).

fof(f1231,plain,
    ( ~ ssItem(sk11(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | ~ spl0_65
    | ~ spl0_69
    | ~ spl0_74 ),
    inference(forward_subsumption_resolution,[],[f1230,f902]) ).

fof(f1232,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | ~ spl0_65
    | ~ spl0_69
    | ~ spl0_74
    | ~ spl0_77 ),
    inference(forward_subsumption_resolution,[],[f1231,f1201]) ).

fof(f1233,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_69
    | ~ spl0_74
    | ~ spl0_77 ),
    inference(forward_subsumption_resolution,[],[f1232,f869]) ).

fof(f1234,plain,
    ( ~ spl0_64
    | ~ spl0_65
    | ~ spl0_69
    | ~ spl0_74
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1233]) ).

fof(f1288,plain,
    ( ! [X0,X1] :
        ( sk5 != sk5
        | ~ ssList(sk8(sk6,sk5))
        | ~ ssItem(sk7(sk6,sk5))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3
        | ~ lt(sk7(sk6,sk5),X0) )
    | ~ spl0_81 ),
    inference(superposition,[],[f212,f1225]) ).

fof(f1289,plain,
    ( ! [X0,X1] :
        ( ~ ssList(sk8(sk6,sk5))
        | ~ ssItem(sk7(sk6,sk5))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3
        | ~ lt(sk7(sk6,sk5),X0) )
    | ~ spl0_81 ),
    inference(trivial_inequality_removal,[],[f1288]) ).

fof(f1290,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(sk7(sk6,sk5))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3
        | ~ lt(sk7(sk6,sk5),X0) )
    | ~ spl0_76
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1289,f1196]) ).

fof(f1291,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ lt(sk7(sk6,sk5),X0) )
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1290,f1208]) ).

fof(f1293,plain,
    ( sk3 != sk3
    | ~ ssList(sk10(sk6,sk5))
    | ~ ssItem(sk9(sk6,sk5))
    | ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(superposition,[],[f1291,f1220]) ).

fof(f1294,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssItem(sk9(sk6,sk5))
    | ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(trivial_inequality_removal,[],[f1293]) ).

fof(f1295,plain,
    ( ~ ssItem(sk9(sk6,sk5))
    | ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ spl0_62
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1294,f850]) ).

fof(f1296,plain,
    ( ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ spl0_62
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1295,f1191]) ).

fof(f1306,plain,
    ( ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_49
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f1022,f956]) ).

fof(f1307,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_49
    | spl0_69
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1306,f1207]) ).

fof(f1308,plain,
    ( ~ ssList(sk6)
    | ~ spl0_49
    | spl0_69
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1307,f206]) ).

fof(f1309,plain,
    ( $false
    | ~ spl0_49
    | spl0_69
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1308,f207]) ).

fof(f1310,plain,
    ( ~ spl0_49
    | spl0_69
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1309]) ).

fof(f1313,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_37
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f1014,f956]) ).

fof(f1314,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_37
    | spl0_69
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1313,f1195]) ).

fof(f1315,plain,
    ( ~ ssList(sk6)
    | ~ spl0_37
    | spl0_69
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1314,f206]) ).

fof(f1316,plain,
    ( $false
    | ~ spl0_37
    | spl0_69
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1315,f207]) ).

fof(f1317,plain,
    ( ~ spl0_37
    | spl0_69
    | spl0_76 ),
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1318,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_22
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f974,f956]) ).

fof(f1319,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_22
    | spl0_69
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1318,f1190]) ).

fof(f1320,plain,
    ( ~ ssList(sk6)
    | ~ spl0_22
    | spl0_69
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1319,f206]) ).

fof(f1321,plain,
    ( $false
    | ~ spl0_22
    | spl0_69
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1320,f207]) ).

fof(f1322,plain,
    ( ~ spl0_22
    | spl0_69
    | spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1321]) ).

fof(f1325,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_20
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f1040,f956]) ).

fof(f1326,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_20
    | spl0_69
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1325,f1219]) ).

fof(f1327,plain,
    ( ~ ssList(sk6)
    | ~ spl0_20
    | spl0_69
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1326,f206]) ).

fof(f1328,plain,
    ( $false
    | ~ spl0_20
    | spl0_69
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1327,f207]) ).

fof(f1329,plain,
    ( ~ spl0_20
    | spl0_69
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1328]) ).

fof(f1332,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_27
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f1073,f956]) ).

fof(f1333,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_27
    | spl0_69
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1332,f1224]) ).

fof(f1334,plain,
    ( ~ ssList(sk6)
    | ~ spl0_27
    | spl0_69
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1333,f206]) ).

fof(f1335,plain,
    ( $false
    | ~ spl0_27
    | spl0_69
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1334,f207]) ).

fof(f1336,plain,
    ( ~ spl0_27
    | spl0_69
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1335]) ).

fof(f1339,plain,
    ( lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_19
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f1031,f956]) ).

fof(f1340,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_19
    | spl0_69
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1339,f1213]) ).

fof(f1341,plain,
    ( ~ ssList(sk6)
    | ~ spl0_19
    | spl0_69
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1340,f206]) ).

fof(f1342,plain,
    ( $false
    | ~ spl0_19
    | spl0_69
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1341,f207]) ).

fof(f1343,plain,
    ( ~ spl0_19
    | spl0_69
    | spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1396,plain,
    ( spl0_79
    | ~ spl0_4
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1027,f925,f555,f1212]) ).

fof(f1399,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_6
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1035,f926]) ).

fof(f1401,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_6
    | spl0_66
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1399,f1219]) ).

fof(f1403,plain,
    ( ~ ssList(sk6)
    | ~ spl0_6
    | spl0_66
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1401,f206]) ).

fof(f1404,plain,
    ( $false
    | ~ spl0_6
    | spl0_66
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1403,f207]) ).

fof(f1405,plain,
    ( ~ spl0_6
    | spl0_66
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1406,plain,
    ( ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_46
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1020,f926]) ).

fof(f1407,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_46
    | spl0_66
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1406,f1207]) ).

fof(f1408,plain,
    ( ~ ssList(sk6)
    | ~ spl0_46
    | spl0_66
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1407,f206]) ).

fof(f1409,plain,
    ( $false
    | ~ spl0_46
    | spl0_66
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1408,f207]) ).

fof(f1410,plain,
    ( ~ spl0_46
    | spl0_66
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1413,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_24
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1042,f926]) ).

fof(f1414,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_24
    | spl0_66
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1413,f1224]) ).

fof(f1415,plain,
    ( ~ ssList(sk6)
    | ~ spl0_24
    | spl0_66
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1414,f206]) ).

fof(f1416,plain,
    ( $false
    | ~ spl0_24
    | spl0_66
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1415,f207]) ).

fof(f1417,plain,
    ( ~ spl0_24
    | spl0_66
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1416]) ).

fof(f1420,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_34
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1009,f926]) ).

fof(f1421,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_34
    | spl0_66
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1420,f1195]) ).

fof(f1422,plain,
    ( ~ ssList(sk6)
    | ~ spl0_34
    | spl0_66
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1421,f206]) ).

fof(f1423,plain,
    ( $false
    | ~ spl0_34
    | spl0_66
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1422,f207]) ).

fof(f1424,plain,
    ( ~ spl0_34
    | spl0_66
    | spl0_76 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1425,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_16
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f949,f926]) ).

fof(f1426,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_16
    | spl0_66
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1425,f1190]) ).

fof(f1427,plain,
    ( ~ ssList(sk6)
    | ~ spl0_16
    | spl0_66
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1426,f206]) ).

fof(f1428,plain,
    ( $false
    | ~ spl0_16
    | spl0_66
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1427,f207]) ).

fof(f1429,plain,
    ( ~ spl0_16
    | spl0_66
    | spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1428]) ).

fof(f1432,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_23
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1033,f901]) ).

fof(f1433,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_15
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f907,f901]) ).

fof(f1434,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_23
    | spl0_65
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1432,f1224]) ).

fof(f1435,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_15
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1433,f206]) ).

fof(f1436,plain,
    ( ~ ssList(sk6)
    | ~ spl0_23
    | spl0_65
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1434,f206]) ).

fof(f1437,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ spl0_15
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1435,f207]) ).

fof(f1438,plain,
    ( $false
    | ~ spl0_23
    | spl0_65
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1436,f207]) ).

fof(f1439,plain,
    ( ~ spl0_23
    | spl0_65
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1438]) ).

fof(f1440,plain,
    ( spl0_75
    | ~ spl0_15
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1437,f900,f599,f1189]) ).

fof(f1443,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_32
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1007,f868]) ).

fof(f1444,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_31
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f872,f868]) ).

fof(f1445,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_32
    | spl0_64
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1443,f1224]) ).

fof(f1446,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_31
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1444,f206]) ).

fof(f1447,plain,
    ( ~ ssList(sk6)
    | ~ spl0_32
    | spl0_64
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1445,f206]) ).

fof(f1448,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ spl0_31
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1446,f207]) ).

fof(f1449,plain,
    ( $false
    | ~ spl0_32
    | spl0_64
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1447,f207]) ).

fof(f1450,plain,
    ( ~ spl0_32
    | spl0_64
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1451,plain,
    ( spl0_75
    | ~ spl0_31
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1448,f867,f663,f1189]) ).

fof(f1455,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_5
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1029,f901]) ).

fof(f1456,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_29
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1005,f1219]) ).

fof(f1457,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_5
    | spl0_65
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1455,f1219]) ).

fof(f1458,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_29
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1456,f206]) ).

fof(f1459,plain,
    ( ~ ssList(sk6)
    | ~ spl0_5
    | spl0_65
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1457,f206]) ).

fof(f1460,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ spl0_29
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1458,f207]) ).

fof(f1461,plain,
    ( $false
    | ~ spl0_5
    | spl0_65
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1459,f207]) ).

fof(f1462,plain,
    ( ~ spl0_5
    | spl0_65
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1463,plain,
    ( spl0_64
    | ~ spl0_29
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1460,f1218,f655,f867]) ).

fof(f1464,plain,
    ( ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_45
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f915,f901]) ).

fof(f1465,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_50
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f890,f1207]) ).

fof(f1466,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_45
    | spl0_65
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1464,f1207]) ).

fof(f1467,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_50
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1465,f206]) ).

fof(f1468,plain,
    ( ~ ssList(sk6)
    | ~ spl0_45
    | spl0_65
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1466,f206]) ).

fof(f1469,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ spl0_50
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1467,f207]) ).

fof(f1470,plain,
    ( $false
    | ~ spl0_45
    | spl0_65
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1468,f207]) ).

fof(f1471,plain,
    ( ~ spl0_45
    | spl0_65
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1472,plain,
    ( spl0_64
    | ~ spl0_50
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1469,f1206,f739,f867]) ).

fof(f1474,plain,
    ( ~ spl0_79
    | ~ spl0_62
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1296,f1223,f1218,f1206,f1194,f1189,f848,f1212]) ).

fof(f1475,plain,
    ( lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_3
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f917,f901]) ).

fof(f1476,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_28
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f909,f1213]) ).

fof(f1479,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_3
    | spl0_65
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1475,f1213]) ).

fof(f1480,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_28
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1476,f206]) ).

fof(f1481,plain,
    ( ~ ssList(sk6)
    | ~ spl0_3
    | spl0_65
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1479,f206]) ).

fof(f1482,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ spl0_28
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1480,f207]) ).

fof(f1483,plain,
    ( $false
    | ~ spl0_3
    | spl0_65
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1481,f207]) ).

fof(f1484,plain,
    ( ~ spl0_3
    | spl0_65
    | spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1485,plain,
    ( spl0_64
    | ~ spl0_28
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1482,f1212,f651,f867]) ).

fof(f1486,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_33
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f911,f901]) ).

fof(f1487,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_38
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f878,f1195]) ).

fof(f1490,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_33
    | spl0_65
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1486,f1195]) ).

fof(f1491,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ spl0_38
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1487,f206]) ).

fof(f1492,plain,
    ( ~ ssList(sk6)
    | ~ spl0_33
    | spl0_65
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1490,f206]) ).

fof(f1493,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ spl0_38
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1491,f207]) ).

fof(f1494,plain,
    ( $false
    | ~ spl0_33
    | spl0_65
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1492,f207]) ).

fof(f1495,plain,
    ( ~ spl0_33
    | spl0_65
    | spl0_76 ),
    inference(avatar_contradiction_clause,[],[f1494]) ).

fof(f1496,plain,
    ( spl0_64
    | ~ spl0_38
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1493,f1194,f691,f867]) ).

fof(f1497,plain,
    ( spl0_76
    | ~ spl0_35
    | spl0_63 ),
    inference(avatar_split_clause,[],[f970,f852,f679,f1194]) ).

fof(f1500,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_25
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f976,f853]) ).

fof(f1502,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_25
    | spl0_63
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1500,f1224]) ).

fof(f1504,plain,
    ( ~ ssList(sk6)
    | ~ spl0_25
    | spl0_63
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1502,f206]) ).

fof(f1505,plain,
    ( $false
    | ~ spl0_25
    | spl0_63
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1504,f207]) ).

fof(f1506,plain,
    ( ~ spl0_25
    | spl0_63
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1505]) ).

fof(f1509,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_8
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f919,f853]) ).

fof(f1510,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_8
    | spl0_63
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1509,f1219]) ).

fof(f1511,plain,
    ( ~ ssList(sk6)
    | ~ spl0_8
    | spl0_63
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1510,f206]) ).

fof(f1512,plain,
    ( $false
    | ~ spl0_8
    | spl0_63
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1511,f207]) ).

fof(f1513,plain,
    ( ~ spl0_8
    | spl0_63
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1512]) ).

fof(f1514,plain,
    ( ssItem(sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_17
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f859,f853]) ).

fof(f1515,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_17
    | spl0_63
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1514,f1190]) ).

fof(f1516,plain,
    ( ~ ssList(sk6)
    | ~ spl0_17
    | spl0_63
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1515,f206]) ).

fof(f1517,plain,
    ( $false
    | ~ spl0_17
    | spl0_63
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1516,f207]) ).

fof(f1518,plain,
    ( ~ spl0_17
    | spl0_63
    | spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1521,plain,
    ( lt(sk7(sk6,sk5),sk9(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_7
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f894,f853]) ).

fof(f1522,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_7
    | spl0_63
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1521,f1213]) ).

fof(f1523,plain,
    ( ~ ssList(sk6)
    | ~ spl0_7
    | spl0_63
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1522,f206]) ).

fof(f1524,plain,
    ( $false
    | ~ spl0_7
    | spl0_63
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1523,f207]) ).

fof(f1525,plain,
    ( ~ spl0_7
    | spl0_63
    | spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1524]) ).

fof(f1526,plain,
    ( ssItem(sk7(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_47
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f886,f853]) ).

fof(f1527,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ spl0_47
    | spl0_63
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1526,f1207]) ).

fof(f1528,plain,
    ( ~ ssList(sk6)
    | ~ spl0_47
    | spl0_63
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1527,f206]) ).

fof(f1529,plain,
    ( $false
    | ~ spl0_47
    | spl0_63
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1528,f207]) ).

fof(f1530,plain,
    ( ~ spl0_47
    | spl0_63
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s3,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s4,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s6,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s7,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s9,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s11,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s12,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_14 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s13,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s14,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_16 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s15,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_17 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s16,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_18 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s17,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_19 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s18,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s19,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_21 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s20,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_22 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s21,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_23 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s22,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_24 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s23,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_25 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s24,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_26 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s25,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_27 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s26,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_28 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s27,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_29 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s28,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_30 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s29,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_31 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s30,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_32 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s31,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_33 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s32,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_34 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s33,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_35 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s34,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_36 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s35,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_37 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s36,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_38 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s37,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_39 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s38,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_40 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s39,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_41 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s40,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_42 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s41,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_43 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s42,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_44 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s43,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_45 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s44,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_46 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s45,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_47 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s46,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_48 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s47,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_49 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s48,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_50 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s49,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_51 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s50,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_51 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s51,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_51 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s52,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_51 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s53,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_51 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s54,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_51 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s55,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_51 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s56,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_51 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s57,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_51 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s58,plain,
    ( ~ spl0_2
    | spl0_12
    | spl0_51 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s59,plain,
    ( ~ spl0_2
    | spl0_13
    | spl0_51 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s60,plain,
    ( ~ spl0_2
    | spl0_14
    | spl0_51 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s61,plain,
    ( ~ spl0_2
    | spl0_15
    | spl0_51 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s62,plain,
    ( ~ spl0_2
    | spl0_16
    | spl0_51 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s63,plain,
    ( ~ spl0_2
    | spl0_17
    | spl0_51 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s64,plain,
    ( ~ spl0_2
    | spl0_18
    | spl0_51 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s65,plain,
    ( ~ spl0_2
    | spl0_19
    | spl0_51 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s66,plain,
    ( ~ spl0_2
    | spl0_20
    | spl0_51 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s67,plain,
    ( ~ spl0_2
    | spl0_21
    | spl0_51 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s68,plain,
    ( ~ spl0_2
    | spl0_22
    | spl0_51 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s69,plain,
    ( ~ spl0_2
    | spl0_23
    | spl0_51 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s70,plain,
    ( ~ spl0_2
    | spl0_24
    | spl0_51 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s71,plain,
    ( ~ spl0_2
    | spl0_25
    | spl0_51 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s72,plain,
    ( ~ spl0_2
    | spl0_26
    | spl0_51 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s73,plain,
    ( ~ spl0_2
    | spl0_27
    | spl0_51 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s74,plain,
    ( ~ spl0_2
    | spl0_28
    | spl0_51 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s75,plain,
    ( ~ spl0_2
    | spl0_29
    | spl0_51 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s76,plain,
    ( ~ spl0_2
    | spl0_30
    | spl0_51 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s77,plain,
    ( ~ spl0_2
    | spl0_31
    | spl0_51 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s78,plain,
    ( ~ spl0_2
    | spl0_32
    | spl0_51 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s79,plain,
    ( ~ spl0_2
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s80,plain,
    ( ~ spl0_2
    | spl0_34
    | spl0_51 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s81,plain,
    ( ~ spl0_2
    | spl0_35
    | spl0_51 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s82,plain,
    ( ~ spl0_2
    | spl0_36
    | spl0_51 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s83,plain,
    ( ~ spl0_2
    | spl0_37
    | spl0_51 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s84,plain,
    ( ~ spl0_2
    | spl0_38
    | spl0_51 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s85,plain,
    ( ~ spl0_2
    | spl0_39
    | spl0_51 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s86,plain,
    ( ~ spl0_2
    | spl0_40
    | spl0_51 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s87,plain,
    ( ~ spl0_2
    | spl0_41
    | spl0_51 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s88,plain,
    ( ~ spl0_2
    | spl0_42
    | spl0_51 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s89,plain,
    ( ~ spl0_2
    | spl0_43
    | spl0_51 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s90,plain,
    ( ~ spl0_2
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s91,plain,
    ( ~ spl0_2
    | spl0_45
    | spl0_51 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s92,plain,
    ( ~ spl0_2
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s93,plain,
    ( ~ spl0_2
    | spl0_47
    | spl0_51 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s94,plain,
    ( ~ spl0_2
    | spl0_48
    | spl0_51 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s95,plain,
    ( ~ spl0_2
    | spl0_49
    | spl0_51 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s96,plain,
    ( ~ spl0_2
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s97,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_52 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s98,plain,
    ( ~ spl0_2
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s99,plain,
    ( spl0_1
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s100,plain,
    spl0_2,
    inference(sat_conversion,[],[f800]) ).

cnf(s111,plain,
    ( ~ spl0_11
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s112,plain,
    ( ~ spl0_30
    | spl0_62
    | spl0_64 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s113,plain,
    ( ~ spl0_9
    | spl0_62
    | spl0_65 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s114,plain,
    ( ~ spl0_10
    | spl0_62
    | spl0_66 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s116,plain,
    ( ~ spl0_21
    | spl0_62
    | spl0_69 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s126,plain,
    ( ~ spl0_63
    | ~ spl0_66
    | ~ spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s127,plain,
    ( ~ spl0_14
    | spl0_62
    | spl0_73 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s128,plain,
    ( ~ spl0_18
    | spl0_73
    | spl0_75 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s129,plain,
    ( ~ spl0_36
    | spl0_73
    | spl0_76 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s130,plain,
    ( ~ spl0_41
    | spl0_62
    | spl0_77 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s131,plain,
    ( ~ spl0_42
    | spl0_75
    | spl0_77 ),
    inference(sat_conversion,[],[f1203]) ).

cnf(s132,plain,
    ( ~ spl0_44
    | spl0_76
    | spl0_77 ),
    inference(sat_conversion,[],[f1204]) ).

cnf(s133,plain,
    ( ~ spl0_48
    | spl0_73
    | spl0_78 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s134,plain,
    ( ~ spl0_52
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s135,plain,
    ( ~ spl0_12
    | spl0_73
    | spl0_79 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s136,plain,
    ( ~ spl0_39
    | spl0_77
    | spl0_79 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s137,plain,
    ( ~ spl0_13
    | spl0_73
    | spl0_80 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s138,plain,
    ( ~ spl0_26
    | spl0_73
    | spl0_81 ),
    inference(sat_conversion,[],[f1226]) ).

cnf(s139,plain,
    ( ~ spl0_40
    | spl0_77
    | spl0_80 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s140,plain,
    ( ~ spl0_43
    | spl0_77
    | spl0_81 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s141,plain,
    ( ~ spl0_64
    | ~ spl0_65
    | ~ spl0_69
    | ~ spl0_74
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s144,plain,
    ( ~ spl0_49
    | spl0_69
    | spl0_78 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s146,plain,
    ( ~ spl0_37
    | spl0_69
    | spl0_76 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s147,plain,
    ( ~ spl0_22
    | spl0_69
    | spl0_75 ),
    inference(sat_conversion,[],[f1322]) ).

cnf(s149,plain,
    ( ~ spl0_20
    | spl0_69
    | spl0_80 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s151,plain,
    ( ~ spl0_27
    | spl0_69
    | spl0_81 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s153,plain,
    ( ~ spl0_19
    | spl0_69
    | spl0_79 ),
    inference(sat_conversion,[],[f1343]) ).

cnf(s154,plain,
    ( ~ spl0_4
    | spl0_66
    | spl0_79 ),
    inference(sat_conversion,[],[f1396]) ).

cnf(s157,plain,
    ( ~ spl0_6
    | spl0_66
    | spl0_80 ),
    inference(sat_conversion,[],[f1405]) ).

cnf(s158,plain,
    ( ~ spl0_46
    | spl0_66
    | spl0_78 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s160,plain,
    ( ~ spl0_24
    | spl0_66
    | spl0_81 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s162,plain,
    ( ~ spl0_34
    | spl0_66
    | spl0_76 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s163,plain,
    ( ~ spl0_16
    | spl0_66
    | spl0_75 ),
    inference(sat_conversion,[],[f1429]) ).

cnf(s165,plain,
    ( ~ spl0_23
    | spl0_65
    | spl0_81 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s166,plain,
    ( ~ spl0_15
    | spl0_65
    | spl0_75 ),
    inference(sat_conversion,[],[f1440]) ).

cnf(s168,plain,
    ( ~ spl0_32
    | spl0_64
    | spl0_81 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s169,plain,
    ( ~ spl0_31
    | spl0_64
    | spl0_75 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s173,plain,
    ( ~ spl0_5
    | spl0_65
    | spl0_80 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s174,plain,
    ( ~ spl0_29
    | spl0_64
    | spl0_80 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s175,plain,
    ( ~ spl0_45
    | spl0_65
    | spl0_78 ),
    inference(sat_conversion,[],[f1471]) ).

cnf(s176,plain,
    ( ~ spl0_50
    | spl0_64
    | spl0_78 ),
    inference(sat_conversion,[],[f1472]) ).

cnf(s177,plain,
    ( ~ spl0_62
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_78
    | ~ spl0_79
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s179,plain,
    ( ~ spl0_3
    | spl0_65
    | spl0_79 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s180,plain,
    ( ~ spl0_28
    | spl0_64
    | spl0_79 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s182,plain,
    ( ~ spl0_33
    | spl0_65
    | spl0_76 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s183,plain,
    ( ~ spl0_38
    | spl0_64
    | spl0_76 ),
    inference(sat_conversion,[],[f1496]) ).

cnf(s184,plain,
    ( ~ spl0_35
    | spl0_63
    | spl0_76 ),
    inference(sat_conversion,[],[f1497]) ).

cnf(s187,plain,
    ( ~ spl0_25
    | spl0_63
    | spl0_81 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s189,plain,
    ( ~ spl0_8
    | spl0_63
    | spl0_80 ),
    inference(sat_conversion,[],[f1513]) ).

cnf(s190,plain,
    ( ~ spl0_17
    | spl0_63
    | spl0_75 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s194,plain,
    ( ~ spl0_7
    | spl0_63
    | spl0_79 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s195,plain,
    ( ~ spl0_47
    | spl0_63
    | spl0_78 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s200,plain,
    ( spl0_51
    | spl0_52 ),
    inference(rat,[],[s98,s100]) ).

cnf(s201,plain,
    ( ~ spl0_1
    | spl0_52 ),
    inference(rat,[],[s97,s100]) ).

cnf(s202,plain,
    ( spl0_50
    | spl0_51 ),
    inference(rat,[],[s96,s100]) ).

cnf(s203,plain,
    ( spl0_49
    | spl0_51 ),
    inference(rat,[],[s95,s100]) ).

cnf(s204,plain,
    ( spl0_48
    | spl0_51 ),
    inference(rat,[],[s94,s100]) ).

cnf(s205,plain,
    ( spl0_47
    | spl0_51 ),
    inference(rat,[],[s93,s100]) ).

cnf(s206,plain,
    ( spl0_46
    | spl0_51 ),
    inference(rat,[],[s92,s100]) ).

cnf(s207,plain,
    ( spl0_45
    | spl0_51 ),
    inference(rat,[],[s91,s100]) ).

cnf(s208,plain,
    ( spl0_44
    | spl0_51 ),
    inference(rat,[],[s90,s100]) ).

cnf(s209,plain,
    ( spl0_43
    | spl0_51 ),
    inference(rat,[],[s89,s100]) ).

cnf(s210,plain,
    ( spl0_42
    | spl0_51 ),
    inference(rat,[],[s88,s100]) ).

cnf(s211,plain,
    ( spl0_41
    | spl0_51 ),
    inference(rat,[],[s87,s100]) ).

cnf(s212,plain,
    ( spl0_40
    | spl0_51 ),
    inference(rat,[],[s86,s100]) ).

cnf(s213,plain,
    ( spl0_39
    | spl0_51 ),
    inference(rat,[],[s85,s100]) ).

cnf(s214,plain,
    ( spl0_38
    | spl0_51 ),
    inference(rat,[],[s84,s100]) ).

cnf(s215,plain,
    ( spl0_37
    | spl0_51 ),
    inference(rat,[],[s83,s100]) ).

cnf(s216,plain,
    ( spl0_36
    | spl0_51 ),
    inference(rat,[],[s82,s100]) ).

cnf(s217,plain,
    ( spl0_35
    | spl0_51 ),
    inference(rat,[],[s81,s100]) ).

cnf(s218,plain,
    ( spl0_34
    | spl0_51 ),
    inference(rat,[],[s80,s100]) ).

cnf(s219,plain,
    ( spl0_33
    | spl0_51 ),
    inference(rat,[],[s79,s100]) ).

cnf(s220,plain,
    ( spl0_32
    | spl0_51 ),
    inference(rat,[],[s78,s100]) ).

cnf(s221,plain,
    ( spl0_31
    | spl0_51 ),
    inference(rat,[],[s77,s100]) ).

cnf(s222,plain,
    ( spl0_30
    | spl0_51 ),
    inference(rat,[],[s76,s100]) ).

cnf(s223,plain,
    ( spl0_29
    | spl0_51 ),
    inference(rat,[],[s75,s100]) ).

cnf(s224,plain,
    ( spl0_28
    | spl0_51 ),
    inference(rat,[],[s74,s100]) ).

cnf(s225,plain,
    ( spl0_27
    | spl0_51 ),
    inference(rat,[],[s73,s100]) ).

cnf(s226,plain,
    ( spl0_26
    | spl0_51 ),
    inference(rat,[],[s72,s100]) ).

cnf(s227,plain,
    ( spl0_25
    | spl0_51 ),
    inference(rat,[],[s71,s100]) ).

cnf(s228,plain,
    ( spl0_24
    | spl0_51 ),
    inference(rat,[],[s70,s100]) ).

cnf(s229,plain,
    ( spl0_23
    | spl0_51 ),
    inference(rat,[],[s69,s100]) ).

cnf(s230,plain,
    ( spl0_22
    | spl0_51 ),
    inference(rat,[],[s68,s100]) ).

cnf(s231,plain,
    ( spl0_21
    | spl0_51 ),
    inference(rat,[],[s67,s100]) ).

cnf(s232,plain,
    ( spl0_20
    | spl0_51 ),
    inference(rat,[],[s66,s100]) ).

cnf(s233,plain,
    ( spl0_19
    | spl0_51 ),
    inference(rat,[],[s65,s100]) ).

cnf(s234,plain,
    ( spl0_18
    | spl0_51 ),
    inference(rat,[],[s64,s100]) ).

cnf(s235,plain,
    ( spl0_17
    | spl0_51 ),
    inference(rat,[],[s63,s100]) ).

cnf(s236,plain,
    ( spl0_16
    | spl0_51 ),
    inference(rat,[],[s62,s100]) ).

cnf(s237,plain,
    ( spl0_15
    | spl0_51 ),
    inference(rat,[],[s61,s100]) ).

cnf(s238,plain,
    ( spl0_14
    | spl0_51 ),
    inference(rat,[],[s60,s100]) ).

cnf(s239,plain,
    ( spl0_13
    | spl0_51 ),
    inference(rat,[],[s59,s100]) ).

cnf(s240,plain,
    ( spl0_12
    | spl0_51 ),
    inference(rat,[],[s58,s100]) ).

cnf(s241,plain,
    ( spl0_11
    | spl0_51 ),
    inference(rat,[],[s57,s100]) ).

cnf(s242,plain,
    ( spl0_10
    | spl0_51 ),
    inference(rat,[],[s56,s100]) ).

cnf(s243,plain,
    ( spl0_9
    | spl0_51 ),
    inference(rat,[],[s55,s100]) ).

cnf(s244,plain,
    ( spl0_8
    | spl0_51 ),
    inference(rat,[],[s54,s100]) ).

cnf(s245,plain,
    ( spl0_7
    | spl0_51 ),
    inference(rat,[],[s53,s100]) ).

cnf(s246,plain,
    ( spl0_6
    | spl0_51 ),
    inference(rat,[],[s52,s100]) ).

cnf(s247,plain,
    ( spl0_5
    | spl0_51 ),
    inference(rat,[],[s51,s100]) ).

cnf(s248,plain,
    ( spl0_4
    | spl0_51 ),
    inference(rat,[],[s50,s100]) ).

cnf(s249,plain,
    ( spl0_3
    | spl0_51 ),
    inference(rat,[],[s49,s100]) ).

cnf(s250,plain,
    ( ~ spl0_1
    | spl0_50 ),
    inference(rat,[],[s48,s100]) ).

cnf(s251,plain,
    ( ~ spl0_1
    | spl0_49 ),
    inference(rat,[],[s47,s100]) ).

cnf(s252,plain,
    ( ~ spl0_1
    | spl0_48 ),
    inference(rat,[],[s46,s100]) ).

cnf(s253,plain,
    ( ~ spl0_1
    | spl0_47 ),
    inference(rat,[],[s45,s100]) ).

cnf(s254,plain,
    ( ~ spl0_1
    | spl0_46 ),
    inference(rat,[],[s44,s100]) ).

cnf(s255,plain,
    ( ~ spl0_1
    | spl0_45 ),
    inference(rat,[],[s43,s100]) ).

cnf(s256,plain,
    ( ~ spl0_1
    | spl0_44 ),
    inference(rat,[],[s42,s100]) ).

cnf(s257,plain,
    ( ~ spl0_1
    | spl0_43 ),
    inference(rat,[],[s41,s100]) ).

cnf(s258,plain,
    ( ~ spl0_1
    | spl0_42 ),
    inference(rat,[],[s40,s100]) ).

cnf(s259,plain,
    ( ~ spl0_1
    | spl0_41 ),
    inference(rat,[],[s39,s100]) ).

cnf(s260,plain,
    ( ~ spl0_1
    | spl0_40 ),
    inference(rat,[],[s38,s100]) ).

cnf(s261,plain,
    ( ~ spl0_1
    | spl0_39 ),
    inference(rat,[],[s37,s100]) ).

cnf(s262,plain,
    ( ~ spl0_1
    | spl0_38 ),
    inference(rat,[],[s36,s100]) ).

cnf(s263,plain,
    ( ~ spl0_1
    | spl0_37 ),
    inference(rat,[],[s35,s100]) ).

cnf(s264,plain,
    ( ~ spl0_1
    | spl0_36 ),
    inference(rat,[],[s34,s100]) ).

cnf(s265,plain,
    ( ~ spl0_1
    | spl0_35 ),
    inference(rat,[],[s33,s100]) ).

cnf(s266,plain,
    ( ~ spl0_1
    | spl0_34 ),
    inference(rat,[],[s32,s100]) ).

cnf(s267,plain,
    ( ~ spl0_1
    | spl0_33 ),
    inference(rat,[],[s31,s100]) ).

cnf(s268,plain,
    ( ~ spl0_1
    | spl0_32 ),
    inference(rat,[],[s30,s100]) ).

cnf(s269,plain,
    ( ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s29,s100]) ).

cnf(s270,plain,
    ( ~ spl0_1
    | spl0_30 ),
    inference(rat,[],[s28,s100]) ).

cnf(s271,plain,
    ( ~ spl0_1
    | spl0_29 ),
    inference(rat,[],[s27,s100]) ).

cnf(s272,plain,
    ( ~ spl0_1
    | spl0_28 ),
    inference(rat,[],[s26,s100]) ).

cnf(s273,plain,
    ( ~ spl0_1
    | spl0_27 ),
    inference(rat,[],[s25,s100]) ).

cnf(s274,plain,
    ( ~ spl0_1
    | spl0_26 ),
    inference(rat,[],[s24,s100]) ).

cnf(s275,plain,
    ( ~ spl0_1
    | spl0_25 ),
    inference(rat,[],[s23,s100]) ).

cnf(s276,plain,
    ( ~ spl0_1
    | spl0_24 ),
    inference(rat,[],[s22,s100]) ).

cnf(s277,plain,
    ( ~ spl0_1
    | spl0_23 ),
    inference(rat,[],[s21,s100]) ).

cnf(s278,plain,
    ( ~ spl0_1
    | spl0_22 ),
    inference(rat,[],[s20,s100]) ).

cnf(s279,plain,
    ( ~ spl0_1
    | spl0_21 ),
    inference(rat,[],[s19,s100]) ).

cnf(s280,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(rat,[],[s18,s100]) ).

cnf(s281,plain,
    ( ~ spl0_1
    | spl0_19 ),
    inference(rat,[],[s17,s100]) ).

cnf(s282,plain,
    ( ~ spl0_1
    | spl0_18 ),
    inference(rat,[],[s16,s100]) ).

cnf(s283,plain,
    ( ~ spl0_1
    | spl0_17 ),
    inference(rat,[],[s15,s100]) ).

cnf(s284,plain,
    ( ~ spl0_1
    | spl0_16 ),
    inference(rat,[],[s14,s100]) ).

cnf(s285,plain,
    ( ~ spl0_1
    | spl0_15 ),
    inference(rat,[],[s13,s100]) ).

cnf(s286,plain,
    ( ~ spl0_1
    | spl0_14 ),
    inference(rat,[],[s12,s100]) ).

cnf(s287,plain,
    ( ~ spl0_1
    | spl0_13 ),
    inference(rat,[],[s11,s100]) ).

cnf(s288,plain,
    ( ~ spl0_1
    | spl0_12 ),
    inference(rat,[],[s10,s100]) ).

cnf(s289,plain,
    ( ~ spl0_1
    | spl0_11 ),
    inference(rat,[],[s9,s100]) ).

cnf(s290,plain,
    ( ~ spl0_1
    | spl0_10 ),
    inference(rat,[],[s8,s100]) ).

cnf(s291,plain,
    ( ~ spl0_1
    | spl0_9 ),
    inference(rat,[],[s7,s100]) ).

cnf(s292,plain,
    ( ~ spl0_1
    | spl0_8 ),
    inference(rat,[],[s6,s100]) ).

cnf(s293,plain,
    ( ~ spl0_1
    | spl0_7 ),
    inference(rat,[],[s5,s100]) ).

cnf(s294,plain,
    ( ~ spl0_1
    | spl0_6 ),
    inference(rat,[],[s4,s100]) ).

cnf(s295,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(rat,[],[s3,s100]) ).

cnf(s296,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(rat,[],[s2,s100]) ).

cnf(s297,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(rat,[],[s1,s100]) ).

cnf(s298,plain,
    ( spl0_62
    | spl0_51 ),
    inference(rat,[],[s126,s141,s113,s114,s111,s127,s116,s112,s130,s211,s222,s231,s238,s241,s242,s243]) ).

cnf(s299,plain,
    ( spl0_77
    | spl0_51 ),
    inference(rat,[],[s177,s131,s132,s134,s136,s139,s140,s200,s208,s209,s210,s212,s213,s298]) ).

cnf(s300,plain,
    ( spl0_73
    | spl0_51 ),
    inference(rat,[],[s177,s128,s129,s133,s135,s137,s138,s204,s216,s226,s234,s239,s240,s298]) ).

cnf(s301,plain,
    ( spl0_69
    | spl0_51 ),
    inference(rat,[],[s177,s144,s146,s147,s149,s151,s153,s203,s215,s225,s230,s232,s233,s298]) ).

cnf(s302,plain,
    ( spl0_66
    | spl0_51 ),
    inference(rat,[],[s177,s154,s157,s158,s160,s162,s163,s206,s218,s228,s236,s246,s248,s298]) ).

cnf(s303,plain,
    ( spl0_65
    | spl0_51 ),
    inference(rat,[],[s177,s165,s166,s173,s175,s179,s182,s207,s219,s229,s237,s247,s249,s298]) ).

cnf(s304,plain,
    ( spl0_64
    | spl0_51 ),
    inference(rat,[],[s177,s168,s169,s174,s176,s180,s183,s202,s214,s220,s221,s223,s224,s298]) ).

cnf(s305,plain,
    spl0_51,
    inference(rat,[],[s177,s184,s187,s189,s190,s194,s195,s126,s141,s304,s303,s302,s301,s300,s299,s298,s245,s244,s235,s227,s217,s205]) ).

cnf(s306,plain,
    spl0_1,
    inference(rat,[],[s99,s305]) ).

cnf(s307,plain,
    spl0_52,
    inference(rat,[],[s201,s306]) ).

cnf(s308,plain,
    spl0_50,
    inference(rat,[],[s250,s306]) ).

cnf(s309,plain,
    spl0_49,
    inference(rat,[],[s251,s306]) ).

cnf(s310,plain,
    spl0_48,
    inference(rat,[],[s252,s306]) ).

cnf(s311,plain,
    spl0_47,
    inference(rat,[],[s253,s306]) ).

cnf(s312,plain,
    spl0_46,
    inference(rat,[],[s254,s306]) ).

cnf(s313,plain,
    spl0_45,
    inference(rat,[],[s255,s306]) ).

cnf(s314,plain,
    spl0_44,
    inference(rat,[],[s256,s306]) ).

cnf(s315,plain,
    spl0_43,
    inference(rat,[],[s257,s306]) ).

cnf(s316,plain,
    spl0_42,
    inference(rat,[],[s258,s306]) ).

cnf(s317,plain,
    spl0_41,
    inference(rat,[],[s259,s306]) ).

cnf(s318,plain,
    spl0_40,
    inference(rat,[],[s260,s306]) ).

cnf(s319,plain,
    spl0_39,
    inference(rat,[],[s261,s306]) ).

cnf(s320,plain,
    spl0_38,
    inference(rat,[],[s262,s306]) ).

cnf(s321,plain,
    spl0_37,
    inference(rat,[],[s263,s306]) ).

cnf(s322,plain,
    spl0_36,
    inference(rat,[],[s264,s306]) ).

cnf(s323,plain,
    spl0_35,
    inference(rat,[],[s265,s306]) ).

cnf(s324,plain,
    spl0_34,
    inference(rat,[],[s266,s306]) ).

cnf(s325,plain,
    spl0_33,
    inference(rat,[],[s267,s306]) ).

cnf(s326,plain,
    spl0_32,
    inference(rat,[],[s268,s306]) ).

cnf(s327,plain,
    spl0_31,
    inference(rat,[],[s269,s306]) ).

cnf(s328,plain,
    spl0_30,
    inference(rat,[],[s270,s306]) ).

cnf(s329,plain,
    spl0_29,
    inference(rat,[],[s271,s306]) ).

cnf(s330,plain,
    spl0_28,
    inference(rat,[],[s272,s306]) ).

cnf(s331,plain,
    spl0_27,
    inference(rat,[],[s273,s306]) ).

cnf(s332,plain,
    spl0_26,
    inference(rat,[],[s274,s306]) ).

cnf(s333,plain,
    spl0_25,
    inference(rat,[],[s275,s306]) ).

cnf(s334,plain,
    spl0_24,
    inference(rat,[],[s276,s306]) ).

cnf(s335,plain,
    spl0_23,
    inference(rat,[],[s277,s306]) ).

cnf(s336,plain,
    spl0_22,
    inference(rat,[],[s278,s306]) ).

cnf(s337,plain,
    spl0_21,
    inference(rat,[],[s279,s306]) ).

cnf(s338,plain,
    spl0_20,
    inference(rat,[],[s280,s306]) ).

cnf(s339,plain,
    spl0_19,
    inference(rat,[],[s281,s306]) ).

cnf(s340,plain,
    spl0_18,
    inference(rat,[],[s282,s306]) ).

cnf(s341,plain,
    spl0_17,
    inference(rat,[],[s283,s306]) ).

cnf(s342,plain,
    spl0_16,
    inference(rat,[],[s284,s306]) ).

cnf(s343,plain,
    spl0_15,
    inference(rat,[],[s285,s306]) ).

cnf(s344,plain,
    spl0_14,
    inference(rat,[],[s286,s306]) ).

cnf(s345,plain,
    spl0_13,
    inference(rat,[],[s287,s306]) ).

cnf(s346,plain,
    spl0_12,
    inference(rat,[],[s288,s306]) ).

cnf(s347,plain,
    spl0_11,
    inference(rat,[],[s289,s306]) ).

cnf(s348,plain,
    spl0_10,
    inference(rat,[],[s290,s306]) ).

cnf(s349,plain,
    spl0_9,
    inference(rat,[],[s291,s306]) ).

cnf(s350,plain,
    spl0_8,
    inference(rat,[],[s292,s306]) ).

cnf(s351,plain,
    spl0_7,
    inference(rat,[],[s293,s306]) ).

cnf(s352,plain,
    spl0_6,
    inference(rat,[],[s294,s306]) ).

cnf(s353,plain,
    spl0_5,
    inference(rat,[],[s295,s306]) ).

cnf(s354,plain,
    spl0_4,
    inference(rat,[],[s296,s306]) ).

cnf(s355,plain,
    spl0_3,
    inference(rat,[],[s297,s306]) ).

cnf(s356,plain,
    ( spl0_65
    | ~ spl0_62 ),
    inference(rat,[],[s177,s165,s166,s173,s175,s179,s182,s335,s343,s353,s313,s355,s325]) ).

cnf(s357,plain,
    ( spl0_81
    | ~ spl0_64
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(rat,[],[s126,s141,s160,s138,s151,s140,s334,s332,s331,s315]) ).

cnf(s358,plain,
    ( spl0_80
    | ~ spl0_64
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(rat,[],[s126,s141,s157,s137,s149,s139,s352,s345,s338,s318]) ).

cnf(s359,plain,
    ( spl0_79
    | ~ spl0_64
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(rat,[],[s126,s141,s154,s135,s153,s136,s354,s346,s339,s319]) ).

cnf(s360,plain,
    ( spl0_78
    | ~ spl0_64
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(rat,[],[s126,s141,s158,s133,s144,s134,s312,s310,s309,s307]) ).

cnf(s361,plain,
    ( spl0_76
    | ~ spl0_64
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(rat,[],[s126,s141,s162,s129,s146,s132,s324,s322,s321,s314]) ).

cnf(s362,plain,
    ( ~ spl0_64
    | ~ spl0_63
    | ~ spl0_62 ),
    inference(rat,[],[s126,s141,s163,s128,s147,s131,s177,s361,s360,s359,s358,s357,s356,s342,s340,s336,s316]) ).

cnf(s363,plain,
    ( spl0_64
    | ~ spl0_62 ),
    inference(rat,[],[s177,s168,s169,s174,s176,s180,s183,s326,s327,s329,s308,s330,s320]) ).

cnf(s364,plain,
    ( ~ spl0_64
    | ~ spl0_62 ),
    inference(rat,[],[s177,s184,s187,s189,s190,s194,s195,s362,s311,s351,s341,s350,s333,s323]) ).

cnf(s365,plain,
    ~ spl0_62,
    inference(rat,[],[s364,s363]) ).

cnf(s366,plain,
    spl0_77,
    inference(rat,[],[s130,s317,s365]) ).

cnf(s367,plain,
    spl0_64,
    inference(rat,[],[s112,s328,s365]) ).

cnf(s368,plain,
    spl0_69,
    inference(rat,[],[s116,s337,s365]) ).

cnf(s369,plain,
    spl0_73,
    inference(rat,[],[s127,s344,s365]) ).

cnf(s370,plain,
    spl0_63,
    inference(rat,[],[s111,s347,s365]) ).

cnf(s371,plain,
    spl0_66,
    inference(rat,[],[s114,s348,s365]) ).

cnf(s372,plain,
    spl0_65,
    inference(rat,[],[s113,s349,s365]) ).

cnf(s373,plain,
    ~ spl0_74,
    inference(rat,[],[s141,s372,s367,s368,s366]) ).

cnf(s380,plain,
    $false,
    inference(rat,[],[s126,s370,s369,s371,s373]) ).

fof(f1531,plain,
    $false,
    inference(avatar_sat_refutation,[],[s380]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC344-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n018.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 09:13:55 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running first-order theorem proving
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.52/1.38  % (3244389)Input is clausal, will run a generic CNF schedule.
% 4.52/1.38  % (3244398)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3854917732:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.52/1.38  % (3244395)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3899537398:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.52/1.38  % (3244397)lrs+10_1_sil=8000:sp=occurrence:random_seed=1516905308:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.52/1.38  % (3244396)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2377971990:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.52/1.38  % (3244394)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=1238630932:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.52/1.38  % (3244398)Instruction limit reached! 
% 4.52/1.38  % (3244398)------------------------------
% 4.52/1.38  % (3244398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244398)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244398)Termination reason: Instruction limit
% 4.52/1.38  % (3244398)Termination phase: Saturation
% 4.52/1.38  % (3244398)Time elapsed: 0.033 s
% 4.52/1.38  % (3244398)Peak memory usage: 89 MB
% 4.52/1.38  % (3244398)Instructions burned: 114 (million)
% 4.52/1.38  % (3244399)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=468880605:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.52/1.38  % (3244400)dis-21_1_sil=8000:lcm=predicate:random_seed=2217798985:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.52/1.38  % (3244397)Instruction limit reached! 
% 4.52/1.38  % (3244397)------------------------------
% 4.52/1.38  % (3244397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244397)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244397)Termination reason: Instruction limit
% 4.52/1.38  % (3244397)Termination phase: Saturation
% 4.52/1.38  % (3244397)Time elapsed: 0.062 s
% 4.52/1.38  % (3244397)Peak memory usage: 89 MB
% 4.52/1.38  % (3244397)Instructions burned: 109 (million)
% 4.52/1.38  % (3244400)Instruction limit reached! 
% 4.52/1.38  % (3244400)------------------------------
% 4.52/1.38  % (3244400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244400)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244400)Termination reason: Instruction limit
% 4.52/1.38  % (3244400)Termination phase: Saturation
% 4.52/1.38  % (3244400)Time elapsed: 0.067 s
% 4.52/1.38  % (3244400)Peak memory usage: 89 MB
% 4.52/1.38  % (3244400)Instructions burned: 119 (million)
% 4.52/1.38  % (3244406)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3682975235:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.52/1.38  % (3244399)Instruction limit reached! 
% 4.52/1.38  % (3244399)------------------------------
% 4.52/1.38  % (3244399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244399)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244399)Termination reason: Instruction limit
% 4.52/1.38  % (3244399)Termination phase: Saturation
% 4.52/1.38  % (3244399)Time elapsed: 0.112 s
% 4.52/1.38  % (3244399)Peak memory usage: 90 MB
% 4.52/1.38  % (3244399)Instructions burned: 180 (million)
% 4.52/1.38  % (3244406)Instruction limit reached! 
% 4.52/1.38  % (3244406)------------------------------
% 4.52/1.38  % (3244406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244406)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244406)Termination reason: Instruction limit
% 4.52/1.38  % (3244406)Termination phase: Saturation
% 4.52/1.38  % (3244406)Time elapsed: 0.047 s
% 4.52/1.38  % (3244406)Peak memory usage: 89 MB
% 4.52/1.38  % (3244406)Instructions burned: 145 (million)
% 4.52/1.38  % (3244409)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3367993887:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.52/1.38  % (3244410)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3604999766:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.52/1.38  % (3244413)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1653015608:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 4.52/1.38  % (3244412)lrs+10_64_to=lpo:sil=8000:random_seed=2085042334:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.52/1.38  % (3244409)Instruction limit reached! 
% 4.52/1.38  % (3244409)------------------------------
% 4.52/1.38  % (3244409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244409)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244409)Termination reason: Instruction limit
% 4.52/1.38  % (3244409)Termination phase: Saturation
% 4.52/1.38  % (3244409)Time elapsed: 0.102 s
% 4.52/1.38  % (3244409)Peak memory usage: 91 MB
% 4.52/1.38  % (3244409)Instructions burned: 191 (million)
% 4.52/1.38  % (3244413)Instruction limit reached! 
% 4.52/1.38  % (3244413)------------------------------
% 4.52/1.38  % (3244413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244413)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244413)Termination reason: Instruction limit
% 4.52/1.38  % (3244413)Termination phase: Saturation
% 4.52/1.38  % (3244413)Time elapsed: 0.062 s
% 4.52/1.38  % (3244413)Peak memory usage: 90 MB
% 4.52/1.38  % (3244413)Instructions burned: 195 (million)
% 4.52/1.38  % (3244412)First to succeed.
% 4.52/1.38  % (3244412)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3244389"
% 4.52/1.38  % (3244410)Instruction limit reached! 
% 4.52/1.38  % (3244410)------------------------------
% 4.52/1.38  % (3244410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244410)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244410)Termination reason: Instruction limit
% 4.52/1.38  % (3244410)Termination phase: Saturation
% 4.52/1.38  % (3244410)Time elapsed: 0.113 s
% 4.52/1.38  % (3244410)Peak memory usage: 90 MB
% 4.52/1.38  % (3244410)Instructions burned: 219 (million)
% 4.52/1.38  % (3244418)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4048598884:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.52/1.38  % (3244418)Instruction limit reached! 
% 4.52/1.38  % (3244418)------------------------------
% 4.52/1.38  % (3244418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244418)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244418)Termination reason: Instruction limit
% 4.52/1.38  % (3244418)Termination phase: Saturation
% 4.52/1.38  % (3244418)Time elapsed: 0.045 s
% 4.52/1.38  % (3244418)Peak memory usage: 91 MB
% 4.52/1.38  % (3244418)Instructions burned: 159 (million)
% 4.52/1.38  % (3244419)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4113317019:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.52/1.38  % (3244420)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=631974863:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.52/1.38  % (3244422)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=659400884:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 4.52/1.38  % (3244420)Instruction limit reached! 
% 4.52/1.38  % (3244420)------------------------------
% 4.52/1.38  % (3244420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244420)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244420)Termination reason: Instruction limit
% 4.52/1.38  % (3244420)Termination phase: Saturation
% 4.52/1.38  % (3244420)Time elapsed: 0.055 s
% 4.52/1.38  % (3244420)Peak memory usage: 90 MB
% 4.52/1.38  % (3244420)Instructions burned: 108 (million)
% 4.52/1.38  % (3244422)Instruction limit reached! 
% 4.52/1.38  % (3244422)------------------------------
% 4.52/1.38  % (3244422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.38  % (3244422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.38  % (3244422)CaDiCaL version: 2.1.3
% 4.52/1.38  % (3244422)Termination reason: Instruction limit
% 4.52/1.38  % (3244422)Termination phase: Saturation
% 4.52/1.38  % (3244422)Time elapsed: 0.034 s
% 4.52/1.38  % (3244422)Peak memory usage: 89 MB
% 4.52/1.38  % (3244422)Instructions burned: 115 (million)
% 4.52/1.38  % (3244412)Refutation found. Thanks to Tanya!
% 4.52/1.38  % SZS status Unsatisfiable for theBenchmark
% 4.52/1.38  % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.58  % (3244412)------------------------------
% 5.70/1.58  % (3244412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.58  % (3244412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.58  % (3244412)CaDiCaL version: 2.1.3
% 5.70/1.58  % (3244412)Termination reason: Refutation
% 5.70/1.58  % (3244412)Time elapsed: 0.060 s
% 5.70/1.58  % (3244412)Peak memory usage: 90 MB
% 5.70/1.58  % (3244412)Instructions burned: 114 (million)
% 5.70/1.58  % (3244412)------------------------------
% 5.70/1.58  % (3244412)------------------------------
% 5.70/1.58  % (3244389)Success in time 0.735 s
% 5.70/1.58  % Vampire exiting
%------------------------------------------------------------------------------