TSTP Solution File: SWC344-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC344-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:43:16 EDT 2022

% Result   : Unsatisfiable 5.69s 1.12s
% Output   : Refutation 5.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   99
%            Number of leaves      :  107
% Syntax   : Number of formulae    :  736 (  16 unt;   0 def)
%            Number of atoms       : 4712 (2150 equ)
%            Maximal formula atoms :   14 (   6 avg)
%            Number of connectives : 7256 (3280   ~;3976   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   : 1062 (1062   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3359,plain,
    $false,
    inference(subsumption_resolution,[],[f3346,f3128]) ).

fof(f3128,plain,
    sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),sk3)),
    inference(subsumption_resolution,[],[f3030,f3050]) ).

fof(f3050,plain,
    sk3 = sk4,
    inference(subsumption_resolution,[],[f2738,f2716]) ).

fof(f2716,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f2715,f2250]) ).

fof(f2250,plain,
    ( ssList(sk14(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2249,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f2249,plain,
    ( ~ ssList(sk5)
    | nil = sk3
    | ssList(sk14(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2248,f194]) ).

fof(f194,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f2248,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f2232,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f2232,plain,
    ( nil = sk3
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5)
    | ssList(sk14(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2224]) ).

fof(f2224,plain,
    ( ~ ssList(sk5)
    | ssList(sk14(sk6,sk5))
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk6)
    | nil = sk3 ),
    inference(resolution,[],[f2215,f441]) ).

fof(f441,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | ~ ssList(X7)
      | nil = sk3
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk14(X7,X6)) ),
    inference(subsumption_resolution,[],[f341,f195]) ).

fof(f195,axiom,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f341,plain,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ssList(sk8(X7,X6))
      | ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f216,f191,f190,f191,f191]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f216,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ssList(sk14(X7,X6))
      | ssList(sk8(X7,X6))
      | nil = sk1
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_31) ).

fof(f2215,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ssList(sk14(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2214,f194]) ).

fof(f2214,plain,
    ( ssList(sk14(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk8(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2213,f193]) ).

fof(f2213,plain,
    ( ssList(sk14(sk6,sk5))
    | ~ ssList(sk6)
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2204,f192]) ).

fof(f2204,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3
    | ssList(sk14(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2194]) ).

fof(f2194,plain,
    ( ~ ssList(sk6)
    | ssList(sk14(sk6,sk5))
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3 ),
    inference(resolution,[],[f2159,f436]) ).

fof(f436,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk14(X7,X6))
      | nil = sk3
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f333,f195]) ).

fof(f333,plain,
    ! [X6,X7] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | ssList(sk10(X7,X6))
      | ssList(sk14(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f240,f191,f191,f190,f191]) ).

fof(f240,axiom,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | nil = sk1
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ssList(sk10(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_55) ).

fof(f2159,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | nil = sk3
    | ssList(sk14(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2158]) ).

fof(f2158,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | ssList(sk14(sk6,sk5))
    | sk3 != sk3
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f2142]) ).

fof(f2142,plain,
    ( nil = sk3
    | sk3 != sk3
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5))
    | nil = sk3 ),
    inference(superposition,[],[f1973,f2118]) ).

fof(f2118,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2117,f192]) ).

fof(f2117,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2116,f194]) ).

fof(f2116,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5)
    | nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2113,f193]) ).

fof(f2113,plain,
    ( ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5) ),
    inference(duplicate_literal_removal,[],[f2108]) ).

fof(f2108,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5)
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk6)
    | nil = sk3 ),
    inference(resolution,[],[f2099,f613]) ).

fof(f613,plain,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f373,f195]) ).

fof(f373,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X7)
      | ssList(sk12(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f222,f191,f191,f191,f190,f191]) ).

fof(f222,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | nil = sk1
      | ~ ssList(X6)
      | ssList(sk12(X7,X6))
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_37) ).

fof(f2099,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2098,f194]) ).

fof(f2098,plain,
    ( nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2097,f192]) ).

fof(f2097,plain,
    ( nil = sk3
    | ~ ssList(sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f2091,f193]) ).

fof(f2091,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5) ),
    inference(duplicate_literal_removal,[],[f2087]) ).

fof(f2087,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ ssList(sk5)
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil = sk3 ),
    inference(resolution,[],[f2084,f616]) ).

fof(f616,plain,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | nil = sk3
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f383,f195]) ).

fof(f383,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ssList(sk14(X7,X6))
      | ~ ssList(X6)
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f243,f191,f190,f191,f191,f191]) ).

fof(f243,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | nil = sk1
      | ssList(sk14(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_58) ).

fof(f2084,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2083]) ).

fof(f2083,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | sk6 != sk6
    | nil = sk3
    | ~ ssList(sk14(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2082]) ).

fof(f2082,plain,
    ( sk6 != sk6
    | nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk14(sk6,sk5)) ),
    inference(superposition,[],[f1602,f1250]) ).

fof(f1250,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1249,f192]) ).

fof(f1249,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1248,f193]) ).

fof(f1248,plain,
    ( ~ ssList(sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f1240,f194]) ).

fof(f1240,plain,
    ( nil = sk3
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk6)
    | ~ ssList(sk5) ),
    inference(duplicate_literal_removal,[],[f1235]) ).

fof(f1235,plain,
    ( nil = sk3
    | nil = sk3
    | ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(resolution,[],[f1216,f600]) ).

fof(f600,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f332,f195]) ).

fof(f332,plain,
    ! [X6,X7] :
      ( nil = sk3
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk8(X7,X6))
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f214,f190,f191,f191,f191]) ).

fof(f214,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ssList(sk8(X7,X6))
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_29) ).

fof(f1216,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1215,f194]) ).

fof(f1215,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1214,f193]) ).

fof(f1214,plain,
    ( ~ ssList(sk6)
    | nil = sk3
    | ~ ssList(sk8(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1213,f192]) ).

fof(f1213,plain,
    ( ~ ssList(sk5)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ ssList(sk8(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f1205]) ).

fof(f1205,plain,
    ( nil = sk3
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3
    | ~ ssList(sk8(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk5)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(resolution,[],[f1199,f590]) ).

fof(f590,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | nil = sk3
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f303,f195]) ).

fof(f303,plain,
    ! [X6,X7] :
      ( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | ssList(sk10(X7,X6))
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f230,f191,f191,f190,f191]) ).

fof(f230,axiom,
    ! [X6,X7] :
      ( nil = sk1
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | ssList(sk10(X7,X6))
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_45) ).

fof(f1199,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | nil = sk3 ),
    inference(trivial_inequality_removal,[],[f1198]) ).

fof(f1198,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk5 != sk5
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f1192]) ).

fof(f1192,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk5 != sk5
    | ~ ssList(sk10(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3
    | nil = sk3
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(superposition,[],[f1170,f711]) ).

fof(f711,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f710,f193]) ).

fof(f710,plain,
    ( ~ ssList(sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f709,f192]) ).

fof(f709,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk5)
    | nil = sk3
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk6) ),
    inference(trivial_inequality_removal,[],[f708]) ).

fof(f708,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk6)
    | sk4 != sk4
    | ~ ssList(sk5)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3 ),
    inference(superposition,[],[f706,f194]) ).

fof(f706,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | ~ ssList(X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f376,f195]) ).

fof(f376,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f224,f191,f190,f191,f191]) ).

fof(f224,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | nil = sk1
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_39) ).

fof(f1170,plain,
    ! [X3] :
      ( sk5 != app(X3,cons(sk7(sk6,sk5),nil))
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | nil = sk3
      | ~ ssList(X3)
      | ~ ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1169,f192]) ).

fof(f1169,plain,
    ! [X3] :
      ( nil = sk3
      | ~ ssList(sk5)
      | sk5 != app(X3,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X3)
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | ~ ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1168,f193]) ).

fof(f1168,plain,
    ! [X3] :
      ( ~ ssList(sk10(sk6,sk5))
      | nil = sk3
      | ~ ssList(sk6)
      | ~ ssList(X3)
      | sk5 != app(X3,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk5)
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1153,f194]) ).

fof(f1153,plain,
    ! [X3] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | nil = sk3
      | ~ ssList(sk6)
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(sk5)
      | ~ ssList(X3)
      | sk5 != app(X3,cons(sk7(sk6,sk5),nil))
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1152]) ).

fof(f1152,plain,
    ! [X3] :
      ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | ~ ssList(sk6)
      | sk4 != app(app(sk5,sk3),sk6)
      | sk5 != app(X3,cons(sk7(sk6,sk5),nil))
      | nil = sk3
      | ~ ssList(sk10(sk6,sk5))
      | sk3 != sk3
      | ~ ssList(sk5)
      | ~ ssList(X3) ),
    inference(duplicate_literal_removal,[],[f1151]) ).

fof(f1151,plain,
    ! [X3] :
      ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | ~ ssList(sk6)
      | nil = sk3
      | sk3 != sk3
      | ~ ssList(sk10(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | sk5 != app(X3,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk5)
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | ~ ssList(X3)
      | nil = sk3 ),
    inference(superposition,[],[f622,f679]) ).

fof(f679,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f678,f193]) ).

fof(f678,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6)
    | nil = sk3
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f677,f192]) ).

fof(f677,plain,
    ( nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk6) ),
    inference(trivial_inequality_removal,[],[f676]) ).

fof(f676,plain,
    ( ~ ssList(sk5)
    | nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6)
    | sk4 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(superposition,[],[f674,f194]) ).

fof(f674,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f320,f195]) ).

fof(f320,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X6)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f231,f191,f190,f191,f191,f191]) ).

fof(f231,axiom,
    ! [X6,X7] :
      ( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | nil = sk1
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_46) ).

fof(f622,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | app(cons(sk11(X5,X4),nil),sk12(X5,X4)) = X5
      | ~ ssList(X7)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk4 != app(app(X4,sk3),X5)
      | nil = sk3
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f621,f599]) ).

fof(f599,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f324,f195]) ).

fof(f324,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ssItem(sk7(X7,X6))
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f202,f191,f190,f191,f191]) ).

fof(f202,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ssItem(sk7(X7,X6))
      | nil = sk1
      | ~ ssList(X6)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f621,plain,
    ! [X6,X7,X4,X5] :
      ( ~ ssList(X5)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ ssItem(sk7(X5,X4))
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk4 != app(app(X4,sk3),X5)
      | app(cons(sk11(X5,X4),nil),sk12(X5,X4)) = X5
      | ~ ssList(X4)
      | nil = sk3
      | sk3 != app(cons(sk9(X5,X4),nil),X6) ),
    inference(subsumption_resolution,[],[f620,f617]) ).

fof(f617,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | nil = sk3
      | ~ ssList(X7)
      | ~ ssList(X6)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f393,f195]) ).

fof(f393,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f229,f191,f190,f191,f191]) ).

fof(f229,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil = sk1
      | ssItem(sk9(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_44) ).

fof(f620,plain,
    ! [X6,X7,X4,X5] :
      ( app(cons(sk11(X5,X4),nil),sk12(X5,X4)) = X5
      | nil = sk3
      | ~ ssList(X4)
      | ~ ssList(X6)
      | ~ ssItem(sk7(X5,X4))
      | ~ ssItem(sk9(X5,X4))
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X7)
      | ~ ssList(X5) ),
    inference(resolution,[],[f618,f196]) ).

fof(f196,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ lt(X6,X8)
      | ~ ssList(X9)
      | ~ ssItem(X6)
      | sk3 != app(cons(X8,nil),X9)
      | ~ ssItem(X8)
      | ~ ssList(X7)
      | sk5 != app(X7,cons(X6,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f618,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | nil = sk3
      | ~ ssList(X6)
      | ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f312,f195]) ).

fof(f312,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ strictorderedP(sk3)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f232,f190,f191,f191,f191]) ).

fof(f232,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | nil = sk1
      | ~ ssList(X6)
      | ~ ssList(X7)
      | lt(sk7(X7,X6),sk9(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_47) ).

fof(f1602,plain,
    ! [X4] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X4)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(X4)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f1601,f193]) ).

fof(f1601,plain,
    ! [X4] :
      ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | nil = sk3
      | ~ ssList(X4)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X4)
      | ~ ssList(sk6)
      | ~ ssList(sk14(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1600,f192]) ).

fof(f1600,plain,
    ! [X4] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X4)
      | ~ ssList(X4)
      | ~ ssList(sk5)
      | nil = sk3
      | ~ ssList(sk6)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | ~ ssList(sk14(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1581,f194]) ).

fof(f1581,plain,
    ! [X4] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X4)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | nil = sk3
      | ~ ssList(sk14(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk6)
      | ~ ssList(X4)
      | ~ ssList(sk5) ),
    inference(trivial_inequality_removal,[],[f1580]) ).

fof(f1580,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | sk3 != sk3
      | ~ ssList(sk14(sk6,sk5))
      | nil = sk3
      | sk6 != app(cons(sk11(sk6,sk5),nil),X4) ),
    inference(duplicate_literal_removal,[],[f1572]) ).

fof(f1572,plain,
    ! [X4] :
      ( nil = sk3
      | sk3 != sk3
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(sk6)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X4)
      | ~ ssList(sk5)
      | ~ ssList(X4)
      | nil = sk3
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(superposition,[],[f631,f1543]) ).

fof(f1543,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1542,f194]) ).

fof(f1542,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1541,f192]) ).

fof(f1541,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk5)
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f1535,f193]) ).

fof(f1535,plain,
    ( ~ ssList(sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f1529]) ).

fof(f1529,plain,
    ( nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil = sk3
    | ~ ssList(sk6)
    | ~ ssList(sk5) ),
    inference(resolution,[],[f1513,f587]) ).

fof(f587,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | nil = sk3
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f298,f195]) ).

fof(f298,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ssList(sk8(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | nil = sk3
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f217,f191,f191,f190,f191,f191]) ).

fof(f217,axiom,
    ! [X6,X7] :
      ( sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ssList(sk8(X7,X6))
      | ~ ssList(X6)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_32) ).

fof(f1513,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1512,f193]) ).

fof(f1512,plain,
    ( nil = sk3
    | ~ ssList(sk6)
    | ~ ssList(sk8(sk6,sk5))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f1511,f192]) ).

fof(f1511,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | nil = sk3
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1498,f194]) ).

fof(f1498,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk6)
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f1494]) ).

fof(f1494,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk8(sk6,sk5))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk5)
    | nil = sk3
    | nil = sk3
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(resolution,[],[f1483,f591]) ).

fof(f591,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f305,f195]) ).

fof(f305,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ssList(sk10(X7,X6))
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f241,f191,f190,f191,f191,f191]) ).

fof(f241,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | ssList(sk10(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_56) ).

fof(f1483,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | nil = sk3
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(trivial_inequality_removal,[],[f1482]) ).

fof(f1482,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5))
    | nil = sk3
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk5 != sk5 ),
    inference(duplicate_literal_removal,[],[f1481]) ).

fof(f1481,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil = sk3
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil = sk3
    | sk5 != sk5
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(superposition,[],[f1391,f705]) ).

fof(f705,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil = sk3
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f704,f192]) ).

fof(f704,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f703,f193]) ).

fof(f703,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk6)
    | nil = sk3
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5) ),
    inference(trivial_inequality_removal,[],[f702]) ).

fof(f702,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk4 != sk4
    | ~ ssList(sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(superposition,[],[f700,f194]) ).

fof(f700,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f361,f195]) ).

fof(f361,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f227,f190,f191,f191,f191,f191]) ).

fof(f227,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | nil = sk1
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ strictorderedP(sk1)
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_42) ).

fof(f1391,plain,
    ! [X0] :
      ( sk5 != app(X0,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X0)
      | ~ ssList(sk10(sk6,sk5))
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f1390,f193]) ).

fof(f1390,plain,
    ! [X0] :
      ( nil = sk3
      | ~ ssList(sk6)
      | ~ ssList(X0)
      | ~ ssList(sk10(sk6,sk5))
      | sk5 != app(X0,cons(sk7(sk6,sk5),nil))
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f1389,f192]) ).

fof(f1389,plain,
    ! [X0] :
      ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | sk5 != app(X0,cons(sk7(sk6,sk5),nil))
      | nil = sk3
      | ~ ssList(X0)
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | ~ ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1380,f194]) ).

fof(f1380,plain,
    ! [X0] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk6)
      | sk5 != app(X0,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk10(sk6,sk5))
      | nil = sk3
      | ~ ssList(sk5)
      | ~ ssList(X0) ),
    inference(trivial_inequality_removal,[],[f1379]) ).

fof(f1379,plain,
    ! [X0] :
      ( nil = sk3
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk6)
      | sk3 != sk3
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(sk5)
      | sk5 != app(X0,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X0)
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(duplicate_literal_removal,[],[f1375]) ).

fof(f1375,plain,
    ! [X0] :
      ( nil = sk3
      | ~ ssList(sk6)
      | sk4 != app(app(sk5,sk3),sk6)
      | sk5 != app(X0,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk5)
      | nil = sk3
      | sk3 != sk3
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X0) ),
    inference(superposition,[],[f666,f699]) ).

fof(f699,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil = sk3
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f698,f192]) ).

fof(f698,plain,
    ( nil = sk3
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f697,f193]) ).

fof(f697,plain,
    ( nil = sk3
    | ~ ssList(sk6)
    | ~ ssList(sk5)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f696]) ).

fof(f696,plain,
    ( nil = sk3
    | ~ ssList(sk6)
    | sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5) ),
    inference(superposition,[],[f694,f194]) ).

fof(f694,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil = sk3
      | ~ ssList(X6)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ),
    inference(subsumption_resolution,[],[f351,f195]) ).

fof(f351,plain,
    ! [X6,X7] :
      ( nil = sk3
      | ~ ssList(X6)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk3)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f245,f191,f191,f191,f191,f190,f191]) ).

fof(f245,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | nil = sk1
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_60) ).

fof(f666,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(cons(sk9(X4,X5),nil),X6)
      | sk5 != app(X7,cons(sk7(X4,X5),nil))
      | ~ ssList(X4)
      | sk4 != app(app(X5,sk3),X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | sk3 = app(sk14(X4,X5),cons(sk13(X4,X5),nil))
      | nil = sk3
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f665,f588]) ).

fof(f588,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6)
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f299,f195]) ).

fof(f299,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f235,f190,f191,f191,f191,f191]) ).

fof(f235,axiom,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_50) ).

fof(f665,plain,
    ! [X6,X7,X4,X5] :
      ( ~ ssItem(sk9(X4,X5))
      | ~ ssList(X7)
      | sk4 != app(app(X5,sk3),X4)
      | ~ ssList(X4)
      | sk3 != app(cons(sk9(X4,X5),nil),X6)
      | sk5 != app(X7,cons(sk7(X4,X5),nil))
      | ~ ssList(X6)
      | ~ ssList(X5)
      | sk3 = app(sk14(X4,X5),cons(sk13(X4,X5),nil))
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f662,f610]) ).

fof(f610,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil = sk3
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f366,f195]) ).

fof(f366,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ ssList(X7)
      | ssItem(sk7(X7,X6))
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f205,f191,f190,f191,f191,f191]) ).

fof(f205,axiom,
    ! [X6,X7] :
      ( nil = sk1
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ssItem(sk7(X7,X6))
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).

fof(f662,plain,
    ! [X6,X7,X4,X5] :
      ( ~ ssItem(sk7(X4,X5))
      | sk5 != app(X7,cons(sk7(X4,X5),nil))
      | ~ ssItem(sk9(X4,X5))
      | ~ ssList(X6)
      | sk3 != app(cons(sk9(X4,X5),nil),X6)
      | ~ ssList(X7)
      | nil = sk3
      | sk4 != app(app(X5,sk3),X4)
      | ~ ssList(X4)
      | ~ ssList(X5)
      | sk3 = app(sk14(X4,X5),cons(sk13(X4,X5),nil)) ),
    inference(resolution,[],[f660,f196]) ).

fof(f660,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f387,f195]) ).

fof(f387,plain,
    ! [X6,X7] :
      ( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6)
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | lt(sk7(X7,X6),sk9(X7,X6)) ),
    inference(definition_unfolding,[],[f247,f191,f191,f191,f190,f191]) ).

fof(f247,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | nil = sk1
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_62) ).

fof(f631,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X2)
      | sk4 != app(app(X1,sk3),X0)
      | nil = sk3
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X3)
      | sk3 = app(cons(sk9(X0,X1),nil),sk10(X0,X1)) ),
    inference(subsumption_resolution,[],[f630,f607]) ).

fof(f607,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f357,f195]) ).

fof(f357,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | ssItem(sk13(X7,X6))
      | ~ ssList(X7)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f238,f190,f191,f191,f191,f191]) ).

fof(f238,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk1)
      | ~ ssList(X7)
      | nil = sk1
      | ~ ssList(X6)
      | ssItem(sk13(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_53) ).

fof(f630,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | nil = sk3
      | ~ ssList(X1)
      | sk4 != app(app(X1,sk3),X0)
      | sk3 = app(cons(sk9(X0,X1),nil),sk10(X0,X1))
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssItem(sk13(X0,X1))
      | sk3 != app(X3,cons(sk13(X0,X1),nil)) ),
    inference(subsumption_resolution,[],[f626,f612]) ).

fof(f612,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f369,f195]) ).

fof(f369,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk3)
      | nil = sk3
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f211,f191,f191,f190,f191,f191]) ).

fof(f211,axiom,
    ! [X6,X7] :
      ( nil = sk1
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ssItem(sk11(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).

fof(f626,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X0,X1),nil),X2)
      | nil = sk3
      | ~ ssItem(sk13(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X2)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | sk3 = app(cons(sk9(X0,X1),nil),sk10(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(sk11(X0,X1))
      | ~ ssList(X3) ),
    inference(resolution,[],[f625,f197]) ).

fof(f197,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ lt(X8,X6)
      | ~ ssItem(X8)
      | sk6 != app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | sk3 != app(X9,cons(X8,nil))
      | ~ ssList(X9)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f625,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f342,f195]) ).

fof(f342,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | nil = sk3
      | lt(sk13(X7,X6),sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f246,f190,f191,f191,f191,f191]) ).

fof(f246,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | nil = sk1
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_61) ).

fof(f1973,plain,
    ! [X8] :
      ( sk3 != app(cons(sk9(sk6,sk5),nil),X8)
      | ssList(sk14(sk6,sk5))
      | ~ ssList(X8)
      | nil = sk3
      | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1972,f194]) ).

fof(f1972,plain,
    ! [X8] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | ssList(sk14(sk6,sk5))
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(X8)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X8)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f1971,f192]) ).

fof(f1971,plain,
    ! [X8] :
      ( sk3 != app(cons(sk9(sk6,sk5),nil),X8)
      | ssList(sk14(sk6,sk5))
      | ~ ssList(sk5)
      | ~ ssList(sk8(sk6,sk5))
      | nil = sk3
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X8) ),
    inference(subsumption_resolution,[],[f1944,f193]) ).

fof(f1944,plain,
    ! [X8] :
      ( ~ ssList(X8)
      | ssList(sk14(sk6,sk5))
      | nil = sk3
      | sk3 != app(cons(sk9(sk6,sk5),nil),X8)
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(sk6)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5) ),
    inference(trivial_inequality_removal,[],[f1943]) ).

fof(f1943,plain,
    ! [X8] :
      ( ~ ssList(sk6)
      | sk5 != sk5
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(X8)
      | ssList(sk14(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X8)
      | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f1941]) ).

fof(f1941,plain,
    ! [X8] :
      ( sk5 != sk5
      | nil = sk3
      | sk4 != app(app(sk5,sk3),sk6)
      | nil = sk3
      | ~ ssList(sk5)
      | ~ ssList(X8)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X8)
      | ~ ssList(sk6)
      | ~ ssList(sk8(sk6,sk5))
      | ssList(sk14(sk6,sk5)) ),
    inference(superposition,[],[f506,f1920]) ).

fof(f1920,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1919,f194]) ).

fof(f1919,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1918,f192]) ).

fof(f1918,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f1917,f193]) ).

fof(f1917,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f1912]) ).

fof(f1912,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | nil = sk3
    | nil = sk3
    | ~ ssList(sk6) ),
    inference(resolution,[],[f1906,f589]) ).

fof(f589,plain,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | ~ ssList(X7)
      | nil = sk3
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ),
    inference(subsumption_resolution,[],[f301,f195]) ).

fof(f301,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ssList(sk12(X7,X6)) ),
    inference(definition_unfolding,[],[f219,f191,f191,f190,f191]) ).

fof(f219,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | ssList(sk12(X7,X6))
      | nil = sk1
      | ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_34) ).

fof(f1906,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1905,f192]) ).

fof(f1905,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f1904,f194]) ).

fof(f1904,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5)
    | nil = sk3
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1892,f193]) ).

fof(f1892,plain,
    ( nil = sk3
    | ~ ssList(sk6)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(duplicate_literal_removal,[],[f1891]) ).

fof(f1891,plain,
    ( ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk6)
    | nil = sk3
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk12(sk6,sk5))
    | nil = sk3
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(resolution,[],[f1885,f586]) ).

fof(f586,plain,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f297,f195]) ).

fof(f297,plain,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | nil = sk3
      | ~ strictorderedP(sk3)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f226,f191,f191,f190,f191]) ).

fof(f226,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ssList(sk14(X7,X6))
      | nil = sk1
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_41) ).

fof(f1885,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil = sk3
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1884]) ).

fof(f1884,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | sk3 != sk3
    | nil = sk3
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(duplicate_literal_removal,[],[f1883]) ).

fof(f1883,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil = sk3
    | sk3 != sk3 ),
    inference(superposition,[],[f1328,f1543]) ).

fof(f1328,plain,
    ! [X0] :
      ( sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(X0)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f1327,f193]) ).

fof(f1327,plain,
    ! [X0] :
      ( nil = sk3
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X0)
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1326,f194]) ).

fof(f1326,plain,
    ! [X0] :
      ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X0)
      | nil = sk3
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1325,f192]) ).

fof(f1325,plain,
    ! [X0] :
      ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk5)
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | sk4 != app(app(sk5,sk3),sk6)
      | nil = sk3
      | ~ ssList(sk6)
      | ~ ssList(X0)
      | ~ ssList(sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1324]) ).

fof(f1324,plain,
    ! [X0] :
      ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | sk4 != app(app(sk5,sk3),sk6)
      | nil = sk3
      | ~ ssList(sk6)
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk5)
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(X0)
      | sk6 != sk6 ),
    inference(duplicate_literal_removal,[],[f1323]) ).

fof(f1323,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | sk4 != app(app(sk5,sk3),sk6)
      | sk6 != sk6
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | nil = sk3
      | nil = sk3
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(superposition,[],[f659,f1250]) ).

fof(f659,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X1,X0),nil),X2)
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X1)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssList(X0)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f658,f594]) ).

fof(f594,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil = sk3
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f311,f195]) ).

fof(f311,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | ssItem(sk13(X7,X6))
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f225,f190,f191,f191,f191]) ).

fof(f225,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ strictorderedP(sk1)
      | ~ ssList(X7)
      | nil = sk1
      | ssItem(sk13(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_40) ).

fof(f658,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssList(X2)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssItem(sk13(X1,X0))
      | ~ ssList(X3)
      | ~ ssList(X0)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X1)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f654,f602]) ).

fof(f602,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f340,f195]) ).

fof(f340,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil = sk3
      | ~ ssList(X6)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f208,f191,f190,f191,f191]) ).

fof(f208,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | nil = sk1
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).

fof(f654,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(sk11(X1,X0))
      | ~ ssList(X0)
      | sk4 != app(app(X0,sk3),X1)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X3)
      | app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
      | ~ ssList(X1)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssList(X2)
      | ~ ssItem(sk13(X1,X0)) ),
    inference(resolution,[],[f653,f197]) ).

fof(f653,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X6)
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ),
    inference(subsumption_resolution,[],[f382,f195]) ).

fof(f382,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X6)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | lt(sk13(X7,X6),sk11(X7,X6)) ),
    inference(definition_unfolding,[],[f228,f191,f191,f190,f191]) ).

fof(f228,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | nil = sk1
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_43) ).

fof(f506,plain,
    ! [X6,X7,X4,X5] :
      ( sk5 != app(X7,cons(sk7(X5,X4),nil))
      | ~ ssList(X5)
      | ~ ssList(X7)
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X6)
      | ssList(sk14(X5,X4))
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X4)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f505,f428]) ).

fof(f428,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk14(X7,X6)) ),
    inference(subsumption_resolution,[],[f300,f195]) ).

fof(f300,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ssList(sk14(X7,X6))
      | nil = sk3
      | ~ strictorderedP(sk3)
      | ssItem(sk9(X7,X6))
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f234,f191,f191,f190,f191]) ).

fof(f234,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | nil = sk1
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | ssList(sk14(X7,X6))
      | ssItem(sk9(X7,X6))
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_49) ).

fof(f505,plain,
    ! [X6,X7,X4,X5] :
      ( sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X4)
      | ~ ssList(X7)
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X6)
      | ~ ssItem(sk9(X5,X4))
      | ~ ssList(X5)
      | ssList(sk14(X5,X4))
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f504,f447]) ).

fof(f447,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk14(X7,X6))
      | ~ ssList(X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f370,f195]) ).

fof(f370,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | nil = sk3
      | ssList(sk14(X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f204,f191,f191,f190,f191]) ).

fof(f204,axiom,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | ~ strictorderedP(sk1)
      | ~ ssList(X7)
      | ssList(sk14(X7,X6))
      | nil = sk1
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f504,plain,
    ! [X6,X7,X4,X5] :
      ( ~ ssItem(sk7(X5,X4))
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X5)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | ~ ssItem(sk9(X5,X4))
      | ssList(sk14(X5,X4))
      | ~ ssList(X4)
      | sk4 != app(app(X4,sk3),X5)
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X7) ),
    inference(resolution,[],[f502,f196]) ).

fof(f502,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil = sk3
      | ssList(sk14(X7,X6))
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f329,f195]) ).

fof(f329,plain,
    ! [X6,X7] :
      ( nil = sk3
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ssList(sk14(X7,X6))
      | ~ strictorderedP(sk3)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f244,f191,f190,f191,f191]) ).

fof(f244,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | nil = sk1
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X7)
      | ssList(sk14(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_59) ).

fof(f2715,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2708,f2625]) ).

fof(f2625,plain,
    ( ssList(sk12(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2624,f194]) ).

fof(f2624,plain,
    ( ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2623,f192]) ).

fof(f2623,plain,
    ( ~ ssList(sk5)
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | ssList(sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2621,f193]) ).

fof(f2621,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6)
    | ssList(sk12(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2609]) ).

fof(f2609,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | nil = sk3
    | ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(resolution,[],[f2602,f457]) ).

fof(f457,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | nil = sk3
      | ssList(sk12(X7,X6)) ),
    inference(subsumption_resolution,[],[f394,f195]) ).

fof(f394,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | nil = sk3
      | ssList(sk8(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk12(X7,X6)) ),
    inference(definition_unfolding,[],[f213,f191,f191,f190,f191]) ).

fof(f213,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | ssList(sk12(X7,X6))
      | nil = sk1
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ssList(sk8(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).

fof(f2602,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | nil = sk3
    | ssList(sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2601,f192]) ).

fof(f2601,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ssList(sk12(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2600,f193]) ).

fof(f2600,plain,
    ( ~ ssList(sk6)
    | nil = sk3
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f2599,f194]) ).

fof(f2599,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | nil = sk3
    | ~ ssList(sk5)
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk6)
    | ssList(sk12(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2588]) ).

fof(f2588,plain,
    ( ~ ssList(sk5)
    | ssList(sk12(sk6,sk5))
    | nil = sk3
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ ssList(sk8(sk6,sk5))
    | nil = sk3
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(resolution,[],[f2576,f449]) ).

fof(f449,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | ~ ssList(X7)
      | ssList(sk12(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f372,f195]) ).

fof(f372,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ ssList(X6)
      | nil = sk3
      | ssList(sk10(X7,X6))
      | ssList(sk12(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f221,f191,f190,f191,f191]) ).

fof(f221,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ssList(sk10(X7,X6))
      | ssList(sk12(X7,X6))
      | ~ ssList(X6)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_36) ).

fof(f2576,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | nil = sk3
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2575]) ).

fof(f2575,plain,
    ( nil = sk3
    | ssList(sk12(sk6,sk5))
    | sk5 != sk5
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2570]) ).

fof(f2570,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | sk5 != sk5
    | ~ ssList(sk10(sk6,sk5))
    | nil = sk3
    | nil = sk3 ),
    inference(superposition,[],[f2169,f1920]) ).

fof(f2169,plain,
    ! [X1] :
      ( sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | nil = sk3
      | ~ ssList(X1)
      | ssList(sk12(sk6,sk5))
      | ~ ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2168,f192]) ).

fof(f2168,plain,
    ! [X1] :
      ( nil = sk3
      | ~ ssList(sk5)
      | ~ ssList(X1)
      | ssList(sk12(sk6,sk5))
      | ~ ssList(sk10(sk6,sk5))
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f2167,f193]) ).

fof(f2167,plain,
    ! [X1] :
      ( ~ ssList(sk6)
      | ssList(sk12(sk6,sk5))
      | ~ ssList(sk10(sk6,sk5))
      | nil = sk3
      | ~ ssList(X1)
      | ~ ssList(sk5)
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f2165,f194]) ).

fof(f2165,plain,
    ! [X1] :
      ( ~ ssList(sk10(sk6,sk5))
      | ssList(sk12(sk6,sk5))
      | ~ ssList(X1)
      | nil = sk3
      | sk4 != app(app(sk5,sk3),sk6)
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk6)
      | ~ ssList(sk5) ),
    inference(trivial_inequality_removal,[],[f2164]) ).

fof(f2164,plain,
    ! [X1] :
      ( ssList(sk12(sk6,sk5))
      | nil = sk3
      | ~ ssList(sk10(sk6,sk5))
      | sk3 != sk3
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X1)
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil)) ),
    inference(duplicate_literal_removal,[],[f2123]) ).

fof(f2123,plain,
    ! [X1] :
      ( ~ ssList(sk10(sk6,sk5))
      | ssList(sk12(sk6,sk5))
      | nil = sk3
      | ~ ssList(sk5)
      | ~ ssList(X1)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk6)
      | sk3 != sk3
      | nil = sk3
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil)) ),
    inference(superposition,[],[f466,f2118]) ).

fof(f466,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(cons(sk9(X5,X4),nil),X6)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | ~ ssList(X4)
      | ~ ssList(X6)
      | ssList(sk12(X5,X4))
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X5)
      | nil = sk3
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f465,f439]) ).

fof(f439,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7)
      | ssList(sk12(X7,X6)) ),
    inference(subsumption_resolution,[],[f336,f195]) ).

fof(f336,plain,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | ssItem(sk9(X7,X6))
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f220,f190,f191,f191,f191]) ).

fof(f220,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ssItem(sk9(X7,X6))
      | nil = sk1
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk12(X7,X6))
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_35) ).

fof(f465,plain,
    ! [X6,X7,X4,X5] :
      ( ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(sk9(X5,X4))
      | ssList(sk12(X5,X4))
      | sk4 != app(app(X4,sk3),X5)
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | ~ ssList(X4)
      | ~ ssList(X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f462,f445]) ).

fof(f445,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | ~ ssList(X7)
      | nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk12(X7,X6))
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f363,f195]) ).

fof(f363,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | ssList(sk12(X7,X6))
      | nil = sk3
      | ~ ssList(X6)
      | ssItem(sk7(X7,X6)) ),
    inference(definition_unfolding,[],[f201,f191,f191,f190,f191]) ).

fof(f201,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | ~ ssList(X7)
      | nil = sk1
      | ssList(sk12(X7,X6))
      | ssItem(sk7(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f462,plain,
    ! [X6,X7,X4,X5] :
      ( nil = sk3
      | ~ ssList(X4)
      | ~ ssList(X7)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X6)
      | ~ ssList(X5)
      | ~ ssItem(sk7(X5,X4))
      | ~ ssItem(sk9(X5,X4))
      | ssList(sk12(X5,X4))
      | sk3 != app(cons(sk9(X5,X4),nil),X6) ),
    inference(resolution,[],[f460,f196]) ).

fof(f460,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ssList(sk12(X7,X6))
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f304,f195]) ).

fof(f304,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | nil = sk3
      | ~ strictorderedP(sk3)
      | ssList(sk12(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f223,f190,f191,f191,f191]) ).

fof(f223,axiom,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).

fof(f2708,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk14(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2694]) ).

fof(f2694,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk14(sk6,sk5))
    | nil = sk3 ),
    inference(resolution,[],[f2691,f1795]) ).

fof(f1795,plain,
    ( ssList(sk8(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1794]) ).

fof(f1794,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | ~ ssList(sk14(sk6,sk5))
    | nil = sk3
    | sk6 != sk6 ),
    inference(duplicate_literal_removal,[],[f1792]) ).

fof(f1792,plain,
    ( nil = sk3
    | sk6 != sk6
    | ~ ssList(sk12(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk14(sk6,sk5))
    | ssList(sk8(sk6,sk5)) ),
    inference(superposition,[],[f1611,f1250]) ).

fof(f1611,plain,
    ! [X0] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | ssList(sk8(sk6,sk5))
      | nil = sk3
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1610,f193]) ).

fof(f1610,plain,
    ! [X0] :
      ( nil = sk3
      | ssList(sk8(sk6,sk5))
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(sk6)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1609,f194]) ).

fof(f1609,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk4 != app(app(sk5,sk3),sk6)
      | nil = sk3
      | sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(sk6)
      | ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1577,f192]) ).

fof(f1577,plain,
    ! [X0] :
      ( ~ ssList(sk5)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk14(sk6,sk5))
      | nil = sk3
      | ssList(sk8(sk6,sk5))
      | ~ ssList(X0)
      | ~ ssList(sk6) ),
    inference(trivial_inequality_removal,[],[f1576]) ).

fof(f1576,plain,
    ! [X0] :
      ( ssList(sk8(sk6,sk5))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | ~ ssList(sk5)
      | ~ ssList(X0)
      | nil = sk3
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk14(sk6,sk5))
      | sk3 != sk3
      | ~ ssList(sk6) ),
    inference(duplicate_literal_removal,[],[f1568]) ).

fof(f1568,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sk6)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | sk4 != app(app(sk5,sk3),sk6)
      | ssList(sk8(sk6,sk5))
      | nil = sk3
      | ~ ssList(sk5)
      | sk3 != sk3
      | ~ ssList(sk14(sk6,sk5))
      | nil = sk3 ),
    inference(superposition,[],[f515,f1543]) ).

fof(f515,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ssList(sk8(X1,X0))
      | ~ ssList(X1)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | nil = sk3
      | ~ ssList(X3)
      | ~ ssList(X2)
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f514,f434]) ).

fof(f434,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | nil = sk3
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk8(X7,X6)) ),
    inference(subsumption_resolution,[],[f330,f195]) ).

fof(f330,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | ssItem(sk11(X7,X6))
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f207,f191,f190,f191,f191]) ).

fof(f207,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | ssList(sk8(X7,X6))
      | ssItem(sk11(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | nil = sk1
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).

fof(f514,plain,
    ! [X2,X3,X0,X1] :
      ( sk4 != app(app(X0,sk3),X1)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssList(X3)
      | nil = sk3
      | ssList(sk8(X1,X0))
      | ~ ssItem(sk11(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f510,f435]) ).

fof(f435,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil = sk3
      | ssList(sk8(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f331,f195]) ).

fof(f331,plain,
    ! [X6,X7] :
      ( nil = sk3
      | ~ ssList(X6)
      | ssList(sk8(X7,X6))
      | ssItem(sk13(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f215,f191,f191,f190,f191]) ).

fof(f215,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | nil = sk1
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ssItem(sk13(X7,X6))
      | ssList(sk8(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_30) ).

fof(f510,plain,
    ! [X2,X3,X0,X1] :
      ( sk4 != app(app(X0,sk3),X1)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(sk11(X1,X0))
      | ~ ssList(X1)
      | nil = sk3
      | ssList(sk8(X1,X0))
      | ~ ssList(X0)
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssItem(sk13(X1,X0)) ),
    inference(resolution,[],[f509,f197]) ).

fof(f509,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | nil = sk3
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk8(X7,X6))
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f337,f195]) ).

fof(f337,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk8(X7,X6))
      | ~ strictorderedP(sk3)
      | lt(sk13(X7,X6),sk11(X7,X6)) ),
    inference(definition_unfolding,[],[f218,f190,f191,f191,f191]) ).

fof(f218,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ssList(sk8(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_33) ).

fof(f2691,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f2690,f2250]) ).

fof(f2690,plain,
    ( nil = sk3
    | ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2688,f2602]) ).

fof(f2688,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f2676]) ).

fof(f2676,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk8(sk6,sk5))
    | nil = sk3 ),
    inference(resolution,[],[f2662,f1585]) ).

fof(f1585,plain,
    ( ssList(sk10(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk14(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1584]) ).

fof(f1584,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | sk3 != sk3
    | ssList(sk10(sk6,sk5))
    | nil = sk3
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1567]) ).

fof(f1567,plain,
    ( sk3 != sk3
    | nil = sk3
    | ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | nil = sk3 ),
    inference(superposition,[],[f1276,f1543]) ).

fof(f1276,plain,
    ! [X3] :
      ( sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X3)
      | nil = sk3
      | ~ ssList(sk12(sk6,sk5))
      | ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1275,f194]) ).

fof(f1275,plain,
    ! [X3] :
      ( ~ ssList(sk12(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ssList(sk10(sk6,sk5))
      | ~ ssList(X3)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f1274,f193]) ).

fof(f1274,plain,
    ! [X3] :
      ( ~ ssList(X3)
      | ~ ssList(sk6)
      | nil = sk3
      | ~ ssList(sk12(sk6,sk5))
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | sk4 != app(app(sk5,sk3),sk6)
      | ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1265,f192]) ).

fof(f1265,plain,
    ! [X3] :
      ( ~ ssList(sk5)
      | ~ ssList(sk6)
      | sk4 != app(app(sk5,sk3),sk6)
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk12(sk6,sk5))
      | ssList(sk10(sk6,sk5))
      | ~ ssList(X3)
      | nil = sk3 ),
    inference(trivial_inequality_removal,[],[f1264]) ).

fof(f1264,plain,
    ! [X3] :
      ( ~ ssList(sk5)
      | ~ ssList(X3)
      | sk6 != sk6
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | nil = sk3
      | ~ ssList(sk6)
      | ~ ssList(sk12(sk6,sk5))
      | ssList(sk10(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(duplicate_literal_removal,[],[f1260]) ).

fof(f1260,plain,
    ! [X3] :
      ( ~ ssList(sk5)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | sk4 != app(app(sk5,sk3),sk6)
      | nil = sk3
      | sk6 != sk6
      | ~ ssList(sk6)
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(X3)
      | ssList(sk10(sk6,sk5)) ),
    inference(superposition,[],[f527,f1250]) ).

fof(f527,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X1,X0),nil),X2)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssList(X0)
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ssList(sk10(X1,X0)) ),
    inference(subsumption_resolution,[],[f526,f444]) ).

fof(f444,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk10(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f360,f195]) ).

fof(f360,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ssList(sk10(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f237,f191,f190,f191,f191]) ).

fof(f237,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | ssItem(sk13(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | nil = sk1
      | ~ ssList(X6)
      | ssList(sk10(X7,X6))
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_52) ).

fof(f526,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X2)
      | ssList(sk10(X1,X0))
      | ~ ssItem(sk13(X1,X0))
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | nil = sk3
      | ~ ssList(X3)
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f524,f458]) ).

fof(f458,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X7)
      | ssList(sk10(X7,X6)) ),
    inference(subsumption_resolution,[],[f395,f195]) ).

fof(f395,plain,
    ! [X6,X7] :
      ( nil = sk3
      | ~ ssList(X6)
      | ssList(sk10(X7,X6))
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f210,f191,f191,f190,f191]) ).

fof(f210,axiom,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | nil = sk1
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).

fof(f524,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(sk13(X1,X0),nil))
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ssList(sk10(X1,X0))
      | ~ ssItem(sk13(X1,X0))
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssItem(sk11(X1,X0))
      | nil = sk3 ),
    inference(resolution,[],[f523,f197]) ).

fof(f523,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | nil = sk3
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk10(X7,X6)) ),
    inference(subsumption_resolution,[],[f347,f195]) ).

fof(f347,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk10(X7,X6))
      | ~ ssList(X6)
      | nil = sk3 ),
    inference(definition_unfolding,[],[f242,f190,f191,f191,f191]) ).

fof(f242,axiom,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | nil = sk1
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_57) ).

fof(f2662,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | nil = sk3 ),
    inference(trivial_inequality_removal,[],[f2661]) ).

fof(f2661,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | sk5 != sk5
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f2656]) ).

fof(f2656,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | sk5 != sk5
    | nil = sk3
    | nil = sk3 ),
    inference(superposition,[],[f2646,f1920]) ).

fof(f2646,plain,
    ! [X1] :
      ( sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X1)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f2645,f2169]) ).

fof(f2645,plain,
    ! [X1] :
      ( ~ ssList(sk10(sk6,sk5))
      | ~ ssList(sk12(sk6,sk5))
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | nil = sk3
      | ~ ssList(X1) ),
    inference(trivial_inequality_removal,[],[f2644]) ).

fof(f2644,plain,
    ! [X1] :
      ( sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X1)
      | ~ ssList(sk12(sk6,sk5))
      | sk6 != sk6
      | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f2642]) ).

fof(f2642,plain,
    ! [X1] :
      ( ~ ssList(sk10(sk6,sk5))
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X1)
      | nil = sk3
      | sk6 != sk6
      | ~ ssList(sk12(sk6,sk5))
      | nil = sk3 ),
    inference(superposition,[],[f2301,f1250]) ).

fof(f2301,plain,
    ! [X0,X1] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X0)
      | nil = sk3
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X1) ),
    inference(trivial_inequality_removal,[],[f2300]) ).

fof(f2300,plain,
    ! [X0,X1] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | nil = sk3
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | sk3 != sk3
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f2295]) ).

fof(f2295,plain,
    ! [X0,X1] :
      ( ~ ssList(sk10(sk6,sk5))
      | nil = sk3
      | nil = sk3
      | sk5 != app(X1,cons(sk7(sk6,sk5),nil))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | sk3 != sk3 ),
    inference(superposition,[],[f2294,f2118]) ).

fof(f2294,plain,
    ! [X3,X4,X5] :
      ( sk3 != app(cons(sk9(sk6,sk5),nil),X4)
      | ~ ssList(X3)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | nil = sk3
      | sk5 != app(X5,cons(sk7(sk6,sk5),nil))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X3) ),
    inference(subsumption_resolution,[],[f1831,f2250]) ).

fof(f1831,plain,
    ! [X3,X4,X5] :
      ( ~ ssList(sk14(sk6,sk5))
      | ~ ssList(X3)
      | sk5 != app(X5,cons(sk7(sk6,sk5),nil))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X3)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X4)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f1830,f193]) ).

fof(f1830,plain,
    ! [X3,X4,X5] :
      ( nil = sk3
      | ~ ssList(sk6)
      | sk5 != app(X5,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk14(sk6,sk5))
      | sk3 != app(cons(sk9(sk6,sk5),nil),X4)
      | ~ ssList(X3)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X3)
      | ~ ssList(X5)
      | ~ ssList(X4) ),
    inference(subsumption_resolution,[],[f1829,f192]) ).

fof(f1829,plain,
    ! [X3,X4,X5] :
      ( ~ ssList(sk5)
      | ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(sk6)
      | ~ ssList(X3)
      | nil = sk3
      | sk3 != app(cons(sk9(sk6,sk5),nil),X4)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X3)
      | sk5 != app(X5,cons(sk7(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f1828,f194]) ).

fof(f1828,plain,
    ! [X3,X4,X5] :
      ( ~ ssList(X4)
      | nil = sk3
      | sk5 != app(X5,cons(sk7(sk6,sk5),nil))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X3)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X4)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X3)
      | ~ ssList(X5)
      | ~ ssList(sk5)
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(sk6) ),
    inference(trivial_inequality_removal,[],[f1827]) ).

fof(f1827,plain,
    ! [X3,X4,X5] :
      ( ~ ssList(sk5)
      | sk5 != app(X5,cons(sk7(sk6,sk5),nil))
      | sk3 != app(cons(sk9(sk6,sk5),nil),X4)
      | ~ ssList(sk6)
      | ~ ssList(X4)
      | ~ ssList(sk14(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | sk3 != sk3
      | nil = sk3
      | ~ ssList(X3)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X3)
      | ~ ssList(X5) ),
    inference(duplicate_literal_removal,[],[f1825]) ).

fof(f1825,plain,
    ! [X3,X4,X5] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X3)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X4)
      | nil = sk3
      | ~ ssList(X5)
      | sk5 != app(X5,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk6)
      | nil = sk3
      | ~ ssList(X3)
      | sk3 != sk3
      | ~ ssList(sk5)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X4)
      | ~ ssList(sk14(sk6,sk5)) ),
    inference(superposition,[],[f1129,f1543]) ).

fof(f1129,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sk3 != app(X9,cons(sk13(X7,X6),nil))
      | sk6 != app(cons(sk11(X7,X6),nil),X8)
      | ~ ssList(X9)
      | nil = sk3
      | ~ ssList(X10)
      | sk5 != app(X11,cons(sk7(X7,X6),nil))
      | ~ ssList(X11)
      | sk4 != app(app(X6,sk3),X7)
      | sk3 != app(cons(sk9(X7,X6),nil),X10)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f1128,f473]) ).

fof(f473,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sk9(X0,X1))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | sk4 != app(app(X1,sk3),X0)
      | sk6 != app(cons(sk11(X0,X1),nil),X2) ),
    inference(subsumption_resolution,[],[f472,f430]) ).

fof(f430,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | nil = sk3
      | ssItem(sk13(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f309,f195]) ).

fof(f309,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7)
      | ssItem(sk13(X7,X6))
      | ssItem(sk9(X7,X6)) ),
    inference(definition_unfolding,[],[f233,f191,f191,f190,f191]) ).

fof(f233,axiom,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | nil = sk1
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | ssItem(sk13(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_48) ).

fof(f472,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X1)
      | sk4 != app(app(X1,sk3),X0)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssItem(sk13(X0,X1))
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ssItem(sk9(X0,X1)) ),
    inference(subsumption_resolution,[],[f468,f452]) ).

fof(f452,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ssItem(sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f377,f195]) ).

fof(f377,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | nil = sk3
      | ~ ssList(X6)
      | ssItem(sk11(X7,X6))
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f209,f190,f191,f191,f191]) ).

fof(f209,axiom,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ssItem(sk11(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | nil = sk1
      | ~ ssList(X7)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).

fof(f468,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X0,X1),nil),X2)
      | sk4 != app(app(X1,sk3),X0)
      | nil = sk3
      | ~ ssItem(sk13(X0,X1))
      | ~ ssList(X1)
      | ssItem(sk9(X0,X1))
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ~ ssItem(sk11(X0,X1))
      | ~ ssList(X2) ),
    inference(resolution,[],[f467,f197]) ).

fof(f467,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | nil = sk3
      | ssItem(sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f307,f195]) ).

fof(f307,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ssItem(sk9(X7,X6))
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f236,f190,f191,f191,f191]) ).

fof(f236,axiom,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | nil = sk1
      | ssItem(sk9(X7,X6))
      | ~ strictorderedP(sk1)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_51) ).

fof(f1128,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sk3 != app(cons(sk9(X7,X6),nil),X10)
      | ~ ssList(X11)
      | ~ ssList(X9)
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X8)
      | sk4 != app(app(X6,sk3),X7)
      | sk3 != app(X9,cons(sk13(X7,X6),nil))
      | sk5 != app(X11,cons(sk7(X7,X6),nil))
      | ~ ssItem(sk9(X7,X6))
      | ~ ssList(X10)
      | sk6 != app(cons(sk11(X7,X6),nil),X8)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f1125,f485]) ).

fof(f485,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sk7(X0,X1))
      | ~ ssList(X1)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X0)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f484,f448]) ).

fof(f448,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | ~ ssList(X6)
      | ssItem(sk7(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f371,f195]) ).

fof(f371,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | nil = sk3
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ssItem(sk7(X7,X6)) ),
    inference(definition_unfolding,[],[f203,f191,f191,f190,f191]) ).

fof(f203,axiom,
    ! [X6,X7] :
      ( nil = sk1
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ssItem(sk7(X7,X6))
      | ssItem(sk13(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f484,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ssItem(sk7(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssItem(sk13(X0,X1))
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | nil = sk3
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f482,f450]) ).

fof(f450,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ssItem(sk7(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f374,f195]) ).

fof(f374,plain,
    ! [X6,X7] :
      ( nil = sk3
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | ssItem(sk7(X7,X6))
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f199,f190,f191,f191,f191]) ).

fof(f199,axiom,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | nil = sk1
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | ssItem(sk11(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f482,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sk7(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X3)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X2)
      | nil = sk3
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssList(X1)
      | ~ ssItem(sk11(X0,X1))
      | ~ ssItem(sk13(X0,X1))
      | sk4 != app(app(X1,sk3),X0) ),
    inference(resolution,[],[f481,f197]) ).

fof(f481,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | nil = sk3
      | ~ ssList(X6)
      | ssItem(sk7(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f319,f195]) ).

fof(f319,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | ssItem(sk7(X7,X6))
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f206,f191,f191,f190,f191]) ).

fof(f206,axiom,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | ~ strictorderedP(sk1)
      | nil = sk1
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | lt(sk13(X7,X6),sk11(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).

fof(f1125,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ ssList(X7)
      | ~ ssList(X8)
      | ~ ssList(X6)
      | ~ ssList(X9)
      | ~ ssItem(sk7(X7,X6))
      | ~ ssItem(sk9(X7,X6))
      | ~ ssList(X11)
      | sk4 != app(app(X6,sk3),X7)
      | sk6 != app(cons(sk11(X7,X6),nil),X8)
      | ~ ssList(X10)
      | sk3 != app(X9,cons(sk13(X7,X6),nil))
      | nil = sk3
      | sk5 != app(X11,cons(sk7(X7,X6),nil))
      | sk3 != app(cons(sk9(X7,X6),nil),X10) ),
    inference(resolution,[],[f576,f196]) ).

fof(f576,plain,
    ! [X2,X3,X0,X1] :
      ( lt(sk7(X0,X1),sk9(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | nil = sk3
      | sk3 != app(X3,cons(sk13(X0,X1),nil)) ),
    inference(subsumption_resolution,[],[f575,f474]) ).

fof(f474,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X6)
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3 ),
    inference(subsumption_resolution,[],[f317,f195]) ).

fof(f317,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | nil = sk3
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ssItem(sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f212,f190,f191,f191,f191]) ).

fof(f212,axiom,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | nil = sk1
      | ~ ssList(X7)
      | ssItem(sk11(X7,X6))
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).

fof(f575,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X0)
      | nil = sk3
      | ~ ssList(X3)
      | lt(sk7(X0,X1),sk9(X0,X1))
      | ~ ssList(X2)
      | sk4 != app(app(X1,sk3),X0)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssItem(sk11(X0,X1)) ),
    inference(subsumption_resolution,[],[f573,f551]) ).

fof(f551,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | nil = sk3
      | ssItem(sk13(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f368,f195]) ).

fof(f368,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | nil = sk3
      | ssItem(sk13(X7,X6))
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f239,f191,f191,f190,f191]) ).

fof(f239,axiom,
    ! [X6,X7] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | ssItem(sk13(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_54) ).

fof(f573,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssItem(sk11(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | lt(sk7(X0,X1),sk9(X0,X1))
      | ~ ssList(X2)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X1)
      | nil = sk3
      | ~ ssList(X3)
      | ~ ssItem(sk13(X0,X1)) ),
    inference(resolution,[],[f572,f197]) ).

fof(f572,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | lt(sk7(X7,X6),sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil = sk3
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f310,f195]) ).

fof(f310,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil = sk3
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f248,f191,f191,f190,f191]) ).

fof(f248,axiom,
    ! [X6,X7] :
      ( nil = sk1
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_63) ).

fof(f2738,plain,
    ( nil != sk3
    | sk3 = sk4 ),
    inference(backward_demodulation,[],[f198,f2716]) ).

fof(f198,axiom,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f3030,plain,
    ( sk3 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),sk3)) ),
    inference(forward_demodulation,[],[f2890,f2716]) ).

fof(f2890,plain,
    ( nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),sk3)) ),
    inference(backward_demodulation,[],[f1713,f2716]) ).

fof(f1713,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f1712,f194]) ).

fof(f1712,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f1711,f193]) ).

fof(f1711,plain,
    ( ~ ssList(sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f1699,f192]) ).

fof(f1699,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk5)
    | nil != sk4
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(duplicate_literal_removal,[],[f1698]) ).

fof(f1698,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk5)
    | nil != sk4
    | nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(resolution,[],[f1685,f608]) ).

fof(f608,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | nil != sk4
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f362,f195]) ).

fof(f362,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ strictorderedP(sk3)
      | nil != sk4
      | ~ ssList(X7)
      | ssList(sk8(X7,X6)) ),
    inference(definition_unfolding,[],[f265,f190,f191,f190,f191,f191]) ).

fof(f265,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ssList(sk8(X7,X6))
      | ~ ssList(X7)
      | nil != sk2
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_80) ).

fof(f1685,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f1684,f193]) ).

fof(f1684,plain,
    ( ~ ssList(sk6)
    | nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1683,f194]) ).

fof(f1683,plain,
    ( nil != sk4
    | ~ ssList(sk8(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1676,f192]) ).

fof(f1676,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | nil != sk4
    | ~ ssList(sk8(sk6,sk5))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(duplicate_literal_removal,[],[f1673]) ).

fof(f1673,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil != sk4 ),
    inference(resolution,[],[f1521,f598]) ).

fof(f598,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | nil != sk4
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f318,f195]) ).

fof(f318,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk10(X7,X6)) ),
    inference(definition_unfolding,[],[f289,f191,f191,f190,f190,f191]) ).

fof(f289,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | ~ ssList(X7)
      | ssList(sk10(X7,X6))
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | nil != sk2
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_104) ).

fof(f1521,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(trivial_inequality_removal,[],[f1520]) ).

fof(f1520,plain,
    ( sk5 != sk5
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk8(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk10(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1515]) ).

fof(f1515,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk5 != sk5
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5))
    | nil != sk4 ),
    inference(superposition,[],[f1477,f718]) ).

fof(f718,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f717,f193]) ).

fof(f717,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f715,f192]) ).

fof(f715,plain,
    ( nil != sk4
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6) ),
    inference(trivial_inequality_removal,[],[f714]) ).

fof(f714,plain,
    ( sk4 != sk4
    | nil != sk4
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk6)
    | ~ ssList(sk5)
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(superposition,[],[f712,f194]) ).

fof(f712,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | nil != sk4
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil)) ),
    inference(subsumption_resolution,[],[f385,f195]) ).

fof(f385,plain,
    ! [X6,X7] :
      ( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil != sk4
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f275,f191,f190,f190,f191,f191]) ).

fof(f275,axiom,
    ! [X6,X7] :
      ( app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_90) ).

fof(f1477,plain,
    ! [X2] :
      ( sk5 != app(X2,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X2)
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f1476,f192]) ).

fof(f1476,plain,
    ! [X2] :
      ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | sk5 != app(X2,cons(sk7(sk6,sk5),nil))
      | nil != sk4
      | ~ ssList(sk5)
      | ~ ssList(X2)
      | ~ ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1475,f194]) ).

fof(f1475,plain,
    ! [X2] :
      ( sk5 != app(X2,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X2)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk10(sk6,sk5))
      | nil != sk4
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f1466,f193]) ).

fof(f1466,plain,
    ! [X2] :
      ( sk5 != app(X2,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X2)
      | ~ ssList(sk6)
      | nil != sk4
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5)
      | ~ ssList(sk10(sk6,sk5))
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(trivial_inequality_removal,[],[f1465]) ).

fof(f1465,plain,
    ! [X2] :
      ( ~ ssList(sk10(sk6,sk5))
      | sk5 != app(X2,cons(sk7(sk6,sk5),nil))
      | nil != sk4
      | ~ ssList(sk6)
      | sk3 != sk3
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5)
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f1463]) ).

fof(f1463,plain,
    ! [X2] :
      ( ~ ssList(sk5)
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
      | sk3 != sk3
      | nil != sk4
      | ~ ssList(sk10(sk6,sk5))
      | nil != sk4
      | ~ ssList(X2)
      | sk5 != app(X2,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk6)
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(superposition,[],[f673,f686]) ).

fof(f686,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f685,f192]) ).

fof(f685,plain,
    ( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | nil != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f684,f193]) ).

fof(f684,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | nil != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
    inference(trivial_inequality_removal,[],[f682]) ).

fof(f682,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | sk4 != sk4
    | sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil != sk4 ),
    inference(superposition,[],[f680,f194]) ).

fof(f680,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil != sk4
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f325,f195]) ).

fof(f325,plain,
    ! [X6,X7] :
      ( nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f293,f190,f191,f191,f191,f190,f191]) ).

fof(f293,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | ~ ssList(X7)
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ strictorderedP(sk1)
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_108) ).

fof(f673,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X6)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | nil != sk4
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X5)
      | ~ ssList(X7)
      | sk3 = app(sk14(X5,X4),cons(sk13(X5,X4),nil))
      | ~ ssList(X4) ),
    inference(subsumption_resolution,[],[f672,f592]) ).

fof(f592,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil != sk4
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f306,f195]) ).

fof(f306,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | nil != sk4
      | ~ ssList(X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ssItem(sk9(X7,X6)) ),
    inference(definition_unfolding,[],[f283,f190,f191,f190,f191,f191]) ).

fof(f283,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ssItem(sk9(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_98) ).

fof(f672,plain,
    ! [X6,X7,X4,X5] :
      ( nil != sk4
      | ~ ssList(X4)
      | sk3 = app(sk14(X5,X4),cons(sk13(X5,X4),nil))
      | ~ ssList(X6)
      | ~ ssItem(sk9(X5,X4))
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | sk4 != app(app(X4,sk3),X5)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | ~ ssList(X5)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f669,f614]) ).

fof(f614,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ ssList(X6)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f378,f195]) ).

fof(f378,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ssItem(sk7(X7,X6))
      | ~ strictorderedP(sk3)
      | nil != sk4
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f253,f191,f190,f191,f190,f191]) ).

fof(f253,axiom,
    ! [X6,X7] :
      ( sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | nil != sk2
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | ssItem(sk7(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_68) ).

fof(f669,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(cons(sk9(X5,X4),nil),X6)
      | sk3 = app(sk14(X5,X4),cons(sk13(X5,X4),nil))
      | ~ ssItem(sk9(X5,X4))
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | ~ ssList(X6)
      | ~ ssList(X4)
      | nil != sk4
      | ~ ssList(X5)
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssItem(sk7(X5,X4))
      | ~ ssList(X7) ),
    inference(resolution,[],[f667,f196]) ).

fof(f667,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil)) ),
    inference(subsumption_resolution,[],[f389,f195]) ).

fof(f389,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ strictorderedP(sk3)
      | sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | nil != sk4 ),
    inference(definition_unfolding,[],[f295,f190,f191,f190,f191,f191]) ).

fof(f295,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | nil != sk2
      | lt(sk7(X7,X6),sk9(X7,X6))
      | sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
      | ~ strictorderedP(sk1)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_110) ).

fof(f3346,plain,
    sk3 != app(sk14(sk6,sk5),cons(sk13(sk6,sk5),sk3)),
    inference(resolution,[],[f3339,f3109]) ).

fof(f3109,plain,
    ssList(sk14(sk6,sk5)),
    inference(subsumption_resolution,[],[f2917,f3050]) ).

fof(f2917,plain,
    ( ssList(sk14(sk6,sk5))
    | sk3 != sk4 ),
    inference(backward_demodulation,[],[f2480,f2716]) ).

fof(f2480,plain,
    ( ssList(sk14(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2479,f194]) ).

fof(f2479,plain,
    ( ssList(sk14(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2478,f193]) ).

fof(f2478,plain,
    ( ssList(sk14(sk6,sk5))
    | ~ ssList(sk6)
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f2475,f192]) ).

fof(f2475,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | ssList(sk14(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk6) ),
    inference(duplicate_literal_removal,[],[f2463]) ).

fof(f2463,plain,
    ( ssList(sk14(sk6,sk5))
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | ~ ssList(sk6)
    | nil != sk4 ),
    inference(resolution,[],[f2455,f429]) ).

fof(f429,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | ssList(sk14(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil != sk4
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f302,f195]) ).

fof(f302,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ssList(sk8(X7,X6))
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | ssList(sk14(X7,X6))
      | nil != sk4 ),
    inference(definition_unfolding,[],[f264,f191,f190,f191,f190]) ).

fof(f264,axiom,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | ssList(sk8(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | nil != sk2
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_79) ).

fof(f2455,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | nil != sk4
    | ssList(sk14(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2454,f192]) ).

fof(f2454,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk5)
    | ssList(sk14(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2453,f193]) ).

fof(f2453,plain,
    ( ~ ssList(sk6)
    | nil != sk4
    | ~ ssList(sk5)
    | ~ ssList(sk8(sk6,sk5))
    | ssList(sk14(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2448,f194]) ).

fof(f2448,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk6)
    | ~ ssList(sk5)
    | nil != sk4 ),
    inference(duplicate_literal_removal,[],[f2439]) ).

fof(f2439,plain,
    ( nil != sk4
    | ~ ssList(sk6)
    | ~ ssList(sk8(sk6,sk5))
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | ssList(sk14(sk6,sk5))
    | nil != sk4 ),
    inference(resolution,[],[f2410,f433]) ).

fof(f433,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | ssList(sk14(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f323,f195]) ).

fof(f323,plain,
    ! [X6,X7] :
      ( nil != sk4
      | ssList(sk10(X7,X6))
      | ~ strictorderedP(sk3)
      | ssList(sk14(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f288,f190,f190,f191,f191]) ).

fof(f288,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | ssList(sk14(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk10(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_103) ).

fof(f2410,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | nil != sk4
    | ssList(sk14(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2409]) ).

fof(f2409,plain,
    ( sk3 != sk3
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5))
    | nil != sk4
    | ssList(sk14(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2392]) ).

fof(f2392,plain,
    ( ssList(sk14(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | nil != sk4
    | sk3 != sk3
    | ~ ssList(sk10(sk6,sk5))
    | nil != sk4 ),
    inference(superposition,[],[f2061,f2370]) ).

fof(f2370,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2369,f194]) ).

fof(f2369,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2368,f193]) ).

fof(f2368,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6)
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f2367,f192]) ).

fof(f2367,plain,
    ( ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6) ),
    inference(duplicate_literal_removal,[],[f2362]) ).

fof(f2362,plain,
    ( nil != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5)
    | nil != sk4 ),
    inference(resolution,[],[f2356,f611]) ).

fof(f611,plain,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f367,f195]) ).

fof(f367,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | ssList(sk12(X7,X6)) ),
    inference(definition_unfolding,[],[f270,f191,f191,f190,f190,f191]) ).

fof(f270,axiom,
    ! [X6,X7] :
      ( sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk1)
      | nil != sk2
      | ssList(sk12(X7,X6))
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_85) ).

fof(f2356,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | nil != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2355,f194]) ).

fof(f2355,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6)
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2354,f193]) ).

fof(f2354,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2353,f192]) ).

fof(f2353,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | ~ ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(duplicate_literal_removal,[],[f2348]) ).

fof(f2348,plain,
    ( ~ ssList(sk6)
    | nil != sk4
    | ~ ssList(sk5)
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil != sk4 ),
    inference(resolution,[],[f2104,f597]) ).

fof(f597,plain,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f315,f195]) ).

fof(f315,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ssList(sk14(X7,X6))
      | ~ ssList(X7)
      | nil != sk4
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ),
    inference(definition_unfolding,[],[f291,f190,f190,f191,f191,f191]) ).

fof(f291,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | ssList(sk14(X7,X6))
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_106) ).

fof(f2104,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2103]) ).

fof(f2103,plain,
    ( nil != sk4
    | ~ ssList(sk12(sk6,sk5))
    | sk6 != sk6
    | ~ ssList(sk14(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2100]) ).

fof(f2100,plain,
    ( nil != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | sk6 != sk6
    | ~ ssList(sk14(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(superposition,[],[f1748,f1407]) ).

fof(f1407,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f1406,f194]) ).

fof(f1406,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f1405,f193]) ).

fof(f1405,plain,
    ( ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1404,f192]) ).

fof(f1404,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil != sk4 ),
    inference(duplicate_literal_removal,[],[f1397]) ).

fof(f1397,plain,
    ( ~ ssList(sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk5)
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4 ),
    inference(resolution,[],[f1371,f596]) ).

fof(f596,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | nil != sk4
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f314,f195]) ).

fof(f314,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ssList(sk8(X7,X6))
      | nil != sk4 ),
    inference(definition_unfolding,[],[f262,f190,f191,f190,f191]) ).

fof(f262,axiom,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | nil != sk2
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_77) ).

fof(f1371,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f1370,f194]) ).

fof(f1370,plain,
    ( nil != sk4
    | sk4 != app(app(sk5,sk3),sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1369,f192]) ).

fof(f1369,plain,
    ( ~ ssList(sk5)
    | nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1364,f193]) ).

fof(f1364,plain,
    ( ~ ssList(sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk5)
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1360]) ).

fof(f1360,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk6)
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5)
    | nil != sk4 ),
    inference(resolution,[],[f1350,f605]) ).

fof(f605,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | ~ ssList(X6)
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7 ),
    inference(subsumption_resolution,[],[f350,f195]) ).

fof(f350,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | nil != sk4
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7 ),
    inference(definition_unfolding,[],[f278,f190,f191,f191,f190]) ).

fof(f278,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | nil != sk2
      | ssList(sk10(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_93) ).

fof(f1350,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1349]) ).

fof(f1349,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil != sk4
    | sk3 != sk3
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1343]) ).

fof(f1343,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk8(sk6,sk5))
    | sk3 != sk3
    | nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(superposition,[],[f1296,f693]) ).

fof(f693,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f692,f193]) ).

fof(f692,plain,
    ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk6)
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f690,f192]) ).

fof(f690,plain,
    ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
    | ~ ssList(sk5)
    | nil != sk4
    | ~ ssList(sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f689]) ).

fof(f689,plain,
    ( ~ ssList(sk5)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | ~ ssList(sk6)
    | nil != sk4
    | sk4 != sk4
    | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(superposition,[],[f687,f194]) ).

fof(f687,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f326,f195]) ).

fof(f326,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f279,f191,f191,f190,f191,f190]) ).

fof(f279,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X6)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_94) ).

fof(f1296,plain,
    ! [X0] :
      ( sk3 != app(cons(sk9(sk6,sk5),nil),X0)
      | nil != sk4
      | ~ ssList(X0)
      | ~ ssList(sk8(sk6,sk5))
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1295,f194]) ).

fof(f1295,plain,
    ! [X0] :
      ( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X0)
      | nil != sk4
      | ~ ssList(X0)
      | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1294,f193]) ).

fof(f1294,plain,
    ! [X0] :
      ( nil != sk4
      | ~ ssList(X0)
      | ~ ssList(sk6)
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | ~ ssList(sk8(sk6,sk5))
      | sk3 != app(cons(sk9(sk6,sk5),nil),X0)
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f1293,f192]) ).

fof(f1293,plain,
    ! [X0] :
      ( nil != sk4
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(sk5)
      | sk4 != app(app(sk5,sk3),sk6)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X0)
      | ~ ssList(sk6)
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | ~ ssList(X0) ),
    inference(trivial_inequality_removal,[],[f1292]) ).

fof(f1292,plain,
    ! [X0] :
      ( ~ ssList(sk6)
      | ~ ssList(sk8(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | sk5 != sk5
      | ~ ssList(sk5)
      | ~ ssList(X0)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X0)
      | nil != sk4
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1283]) ).

fof(f1283,plain,
    ! [X0] :
      ( nil != sk4
      | ~ ssList(X0)
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
      | nil != sk4
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X0)
      | sk5 != sk5
      | ~ ssList(sk8(sk6,sk5))
      | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(superposition,[],[f643,f725]) ).

fof(f725,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f724,f192]) ).

fof(f724,plain,
    ( nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f722,f193]) ).

fof(f722,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f721]) ).

fof(f721,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | sk4 != sk4
    | ~ ssList(sk6)
    | sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(superposition,[],[f719,f194]) ).

fof(f719,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f388,f195]) ).

fof(f388,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ strictorderedP(sk3)
      | nil != sk4 ),
    inference(definition_unfolding,[],[f272,f191,f190,f190,f191]) ).

fof(f272,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | nil != sk2
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_87) ).

fof(f643,plain,
    ! [X6,X7,X4,X5] :
      ( sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X4)
      | nil != sk4
      | app(cons(sk11(X5,X4),nil),sk12(X5,X4)) = X5
      | ~ ssList(X5)
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f642,f595]) ).

fof(f595,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ ssList(X6)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7 ),
    inference(subsumption_resolution,[],[f313,f195]) ).

fof(f313,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | sk4 != app(app(X6,sk3),X7)
      | ssItem(sk7(X7,X6))
      | ~ ssList(X7)
      | nil != sk4
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f250,f190,f190,f191,f191]) ).

fof(f250,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X7)
      | ssItem(sk7(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_65) ).

fof(f642,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | app(cons(sk11(X5,X4),nil),sk12(X5,X4)) = X5
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | nil != sk4
      | ~ ssItem(sk7(X5,X4))
      | ~ ssList(X4)
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X5) ),
    inference(subsumption_resolution,[],[f641,f601]) ).

fof(f601,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f338,f195]) ).

fof(f338,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | nil != sk4
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ssItem(sk9(X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f277,f190,f190,f191,f191]) ).

fof(f277,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | ssItem(sk9(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_92) ).

fof(f641,plain,
    ! [X6,X7,X4,X5] :
      ( app(cons(sk11(X5,X4),nil),sk12(X5,X4)) = X5
      | nil != sk4
      | ~ ssItem(sk9(X5,X4))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ ssList(X4)
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssItem(sk7(X5,X4))
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X5) ),
    inference(resolution,[],[f639,f196]) ).

fof(f639,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f354,f195]) ).

fof(f354,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | nil != sk4
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f280,f190,f191,f191,f190]) ).

fof(f280,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
      | lt(sk7(X7,X6),sk9(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | nil != sk2
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_95) ).

fof(f1748,plain,
    ! [X6] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X6)
      | nil != sk4
      | ~ ssList(X6)
      | ~ ssList(sk14(sk6,sk5))
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1747,f192]) ).

fof(f1747,plain,
    ! [X6] :
      ( nil != sk4
      | ~ ssList(sk5)
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(X6)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X6) ),
    inference(subsumption_resolution,[],[f1746,f193]) ).

fof(f1746,plain,
    ! [X6] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X6)
      | nil != sk4
      | ~ ssList(X6)
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(sk6)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f1734,f194]) ).

fof(f1734,plain,
    ! [X6] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5)
      | nil != sk4
      | ~ ssList(X6)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X6)
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | ~ ssList(sk6)
      | ~ ssList(sk14(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1733]) ).

fof(f1733,plain,
    ! [X6] :
      ( ~ ssList(sk6)
      | ~ ssList(sk5)
      | ~ ssList(X6)
      | nil != sk4
      | sk6 != app(cons(sk11(sk6,sk5),nil),X6)
      | sk4 != app(app(sk5,sk3),sk6)
      | sk3 != sk3
      | sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | ~ ssList(sk14(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1724]) ).

fof(f1724,plain,
    ! [X6] :
      ( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
      | nil != sk4
      | ~ ssList(sk5)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X6)
      | ~ ssList(sk14(sk6,sk5))
      | ~ ssList(sk6)
      | ~ ssList(X6)
      | sk3 != sk3
      | nil != sk4
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(superposition,[],[f638,f1713]) ).

fof(f638,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(sk13(X1,X0),nil))
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ~ ssList(X1)
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X0)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f637,f604]) ).

fof(f604,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | nil != sk4
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ),
    inference(subsumption_resolution,[],[f345,f195]) ).

fof(f345,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ssItem(sk13(X7,X6))
      | nil != sk4
      | ~ ssList(X6)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f286,f190,f191,f191,f190,f191]) ).

fof(f286,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | nil != sk2
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ssItem(sk13(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_101) ).

fof(f637,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssItem(sk13(X1,X0))
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | ~ ssList(X0)
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | nil != sk4
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f633,f606]) ).

fof(f606,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f356,f195]) ).

fof(f356,plain,
    ! [X6,X7] :
      ( sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X7)
      | ssItem(sk11(X7,X6))
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f259,f191,f191,f190,f191,f190]) ).

fof(f259,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | nil != sk2
      | ssItem(sk11(X7,X6))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_74) ).

fof(f633,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(sk11(X1,X0))
      | sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
      | nil != sk4
      | ~ ssList(X2)
      | ~ ssItem(sk13(X1,X0))
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X0)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | sk3 != app(X3,cons(sk13(X1,X0),nil)) ),
    inference(resolution,[],[f632,f197]) ).

fof(f632,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f353,f195]) ).

fof(f353,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ ssList(X7)
      | nil != sk4
      | ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6)) ),
    inference(definition_unfolding,[],[f294,f190,f191,f191,f190,f191]) ).

fof(f294,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_109) ).

fof(f2061,plain,
    ! [X9] :
      ( sk3 != app(cons(sk9(sk6,sk5),nil),X9)
      | ~ ssList(sk8(sk6,sk5))
      | nil != sk4
      | ssList(sk14(sk6,sk5))
      | ~ ssList(X9) ),
    inference(subsumption_resolution,[],[f2060,f194]) ).

fof(f2060,plain,
    ! [X9] :
      ( ~ ssList(sk8(sk6,sk5))
      | ssList(sk14(sk6,sk5))
      | sk3 != app(cons(sk9(sk6,sk5),nil),X9)
      | nil != sk4
      | ~ ssList(X9)
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f2059,f192]) ).

fof(f2059,plain,
    ! [X9] :
      ( ~ ssList(X9)
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(sk5)
      | nil != sk4
      | sk3 != app(cons(sk9(sk6,sk5),nil),X9)
      | ssList(sk14(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f2058,f193]) ).

fof(f2058,plain,
    ! [X9] :
      ( ~ ssList(X9)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X9)
      | ~ ssList(sk6)
      | nil != sk4
      | ~ ssList(sk5)
      | ssList(sk14(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk8(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2057]) ).

fof(f2057,plain,
    ! [X9] :
      ( ~ ssList(sk6)
      | sk5 != sk5
      | ~ ssList(sk5)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X9)
      | ssList(sk14(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(X9)
      | nil != sk4 ),
    inference(duplicate_literal_removal,[],[f2043]) ).

fof(f2043,plain,
    ! [X9] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | ssList(sk14(sk6,sk5))
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | nil != sk4
      | nil != sk4
      | ~ ssList(sk8(sk6,sk5))
      | sk3 != app(cons(sk9(sk6,sk5),nil),X9)
      | sk5 != sk5
      | ~ ssList(X9) ),
    inference(superposition,[],[f499,f2027]) ).

fof(f2027,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2026,f192]) ).

fof(f2026,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f2025,f194]) ).

fof(f2025,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk5)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2024,f193]) ).

fof(f2024,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4 ),
    inference(duplicate_literal_removal,[],[f2018]) ).

fof(f2018,plain,
    ( ~ ssList(sk5)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4
    | ~ ssList(sk6)
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(resolution,[],[f2015,f615]) ).

fof(f615,plain,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | nil != sk4
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f379,f195]) ).

fof(f379,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | nil != sk4
      | ~ ssList(X7)
      | ssList(sk12(X7,X6))
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f267,f190,f190,f191,f191]) ).

fof(f267,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ssList(sk12(X7,X6))
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_82) ).

fof(f2015,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | nil != sk4
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f2014,f194]) ).

fof(f2014,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk12(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2013,f193]) ).

fof(f2013,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(subsumption_resolution,[],[f2006,f192]) ).

fof(f2006,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(duplicate_literal_removal,[],[f2003]) ).

fof(f2003,plain,
    ( sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ ssList(sk5)
    | nil != sk4
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(resolution,[],[f1999,f609]) ).

fof(f609,plain,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | nil != sk4
      | ~ ssList(X7)
      | ~ ssList(X6)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f365,f195]) ).

fof(f365,plain,
    ! [X6,X7] :
      ( app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ssList(sk14(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f274,f191,f190,f190,f191]) ).

fof(f274,axiom,
    ! [X6,X7] :
      ( app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ strictorderedP(sk1)
      | nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk14(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_89) ).

fof(f1999,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f1998]) ).

fof(f1998,plain,
    ( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk14(sk6,sk5))
    | sk3 != sk3
    | nil != sk4 ),
    inference(duplicate_literal_removal,[],[f1996]) ).

fof(f1996,plain,
    ( nil != sk4
    | sk3 != sk3
    | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
    | nil != sk4
    | ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk14(sk6,sk5)) ),
    inference(superposition,[],[f1460,f1713]) ).

fof(f1460,plain,
    ! [X5] :
      ( sk3 != app(X5,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X5)
      | ~ ssList(sk12(sk6,sk5))
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f1459,f192]) ).

fof(f1459,plain,
    ! [X5] :
      ( ~ ssList(sk5)
      | sk3 != app(X5,cons(sk13(sk6,sk5),nil))
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk12(sk6,sk5))
      | nil != sk4
      | ~ ssList(X5) ),
    inference(subsumption_resolution,[],[f1458,f193]) ).

fof(f1458,plain,
    ! [X5] :
      ( sk3 != app(X5,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | ~ ssList(X5)
      | ~ ssList(sk12(sk6,sk5))
      | nil != sk4
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
    inference(subsumption_resolution,[],[f1439,f194]) ).

fof(f1439,plain,
    ! [X5] :
      ( ~ ssList(sk12(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5)
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | ~ ssList(X5)
      | sk3 != app(X5,cons(sk13(sk6,sk5),nil))
      | nil != sk4
      | ~ ssList(sk6) ),
    inference(trivial_inequality_removal,[],[f1438]) ).

fof(f1438,plain,
    ! [X5] :
      ( nil != sk4
      | ~ ssList(sk5)
      | sk6 != sk6
      | ~ ssList(sk12(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk6)
      | sk3 != app(X5,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X5) ),
    inference(duplicate_literal_removal,[],[f1435]) ).

fof(f1435,plain,
    ! [X5] :
      ( ~ ssList(sk6)
      | nil != sk4
      | ~ ssList(sk5)
      | sk3 != app(X5,cons(sk13(sk6,sk5),nil))
      | sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
      | sk6 != sk6
      | nil != sk4
      | ~ ssList(sk12(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X5) ),
    inference(superposition,[],[f650,f1407]) ).

fof(f650,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X0,X1),nil),X2)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X3)
      | app(sk8(X0,X1),cons(sk7(X0,X1),nil)) = X1
      | ~ ssList(X2)
      | nil != sk4
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sk4 != app(app(X1,sk3),X0) ),
    inference(subsumption_resolution,[],[f649,f593]) ).

fof(f593,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | nil != sk4
      | ~ ssList(X6)
      | ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f308,f195]) ).

fof(f308,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | ssItem(sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | nil != sk4 ),
    inference(definition_unfolding,[],[f256,f191,f190,f191,f190]) ).

fof(f256,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ strictorderedP(sk1)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk2 != app(app(X6,sk1),X7)
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_71) ).

fof(f649,plain,
    ! [X2,X3,X0,X1] :
      ( sk4 != app(app(X1,sk3),X0)
      | app(sk8(X0,X1),cons(sk7(X0,X1),nil)) = X1
      | ~ ssItem(sk11(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f647,f603]) ).

fof(f603,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | nil != sk4
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ),
    inference(subsumption_resolution,[],[f344,f195]) ).

fof(f344,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f273,f190,f191,f191,f190]) ).

fof(f273,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ssItem(sk13(X7,X6))
      | nil != sk2
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_88) ).

fof(f647,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X3)
      | nil != sk4
      | ~ ssItem(sk11(X0,X1))
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssItem(sk13(X0,X1))
      | app(sk8(X0,X1),cons(sk7(X0,X1),nil)) = X1 ),
    inference(resolution,[],[f646,f197]) ).

fof(f646,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | ~ ssList(X6)
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f355,f195]) ).

fof(f355,plain,
    ! [X6,X7] :
      ( app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ strictorderedP(sk3)
      | nil != sk4
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f276,f190,f191,f190,f191]) ).

fof(f276,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | nil != sk2
      | ~ strictorderedP(sk1)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_91) ).

fof(f499,plain,
    ! [X6,X7,X4,X5] :
      ( sk5 != app(X7,cons(sk7(X5,X4),nil))
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssList(X6)
      | nil != sk4
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ~ ssList(X7)
      | ssList(sk14(X5,X4))
      | ~ ssList(X4)
      | ~ ssList(X5) ),
    inference(subsumption_resolution,[],[f498,f451]) ).

fof(f451,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk14(X7,X6))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f375,f195]) ).

fof(f375,plain,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f282,f190,f191,f190,f191]) ).

fof(f282,axiom,
    ! [X6,X7] :
      ( ssList(sk14(X7,X6))
      | nil != sk2
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssItem(sk9(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_97) ).

fof(f498,plain,
    ! [X6,X7,X4,X5] :
      ( sk4 != app(app(X4,sk3),X5)
      | ~ ssItem(sk9(X5,X4))
      | sk3 != app(cons(sk9(X5,X4),nil),X6)
      | ssList(sk14(X5,X4))
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f497,f456]) ).

fof(f456,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ssList(sk14(X7,X6)) ),
    inference(subsumption_resolution,[],[f390,f195]) ).

fof(f390,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ssList(sk14(X7,X6))
      | ~ strictorderedP(sk3)
      | ssItem(sk7(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f252,f190,f191,f190,f191]) ).

fof(f252,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ssItem(sk7(X7,X6))
      | nil != sk2
      | ssList(sk14(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_67) ).

fof(f497,plain,
    ! [X6,X7,X4,X5] :
      ( sk3 != app(cons(sk9(X5,X4),nil),X6)
      | sk5 != app(X7,cons(sk7(X5,X4),nil))
      | ssList(sk14(X5,X4))
      | ~ ssList(X4)
      | ~ ssList(X6)
      | sk4 != app(app(X4,sk3),X5)
      | ~ ssItem(sk7(X5,X4))
      | ~ ssList(X7)
      | nil != sk4
      | ~ ssItem(sk9(X5,X4))
      | ~ ssList(X5) ),
    inference(resolution,[],[f495,f196]) ).

fof(f495,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk14(X7,X6))
      | nil != sk4
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f328,f195]) ).

fof(f328,plain,
    ! [X6,X7] :
      ( nil != sk4
      | ssList(sk14(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f292,f191,f190,f190,f191]) ).

fof(f292,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | nil != sk2
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ssList(sk14(X7,X6))
      | ~ ssList(X6)
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_107) ).

fof(f3339,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk3 != app(X0,cons(sk13(sk6,sk5),sk3)) ),
    inference(subsumption_resolution,[],[f3338,f3112]) ).

fof(f3112,plain,
    ssList(sk12(sk6,sk5)),
    inference(subsumption_resolution,[],[f2920,f3050]) ).

fof(f2920,plain,
    ( ssList(sk12(sk6,sk5))
    | sk3 != sk4 ),
    inference(backward_demodulation,[],[f2545,f2716]) ).

fof(f2545,plain,
    ( ssList(sk12(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2544,f193]) ).

fof(f2544,plain,
    ( nil != sk4
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f2543,f194]) ).

fof(f2543,plain,
    ( ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk6)
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2541,f192]) ).

fof(f2541,plain,
    ( ~ ssList(sk5)
    | nil != sk4
    | sk4 != app(app(sk5,sk3),sk6)
    | ~ ssList(sk6)
    | ssList(sk12(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f2531]) ).

fof(f2531,plain,
    ( nil != sk4
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | ~ ssList(sk6)
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk5)
    | ssList(sk12(sk6,sk5)) ),
    inference(resolution,[],[f2523,f459]) ).

fof(f459,plain,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | nil != sk4
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk12(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f396,f195]) ).

fof(f396,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | ssList(sk12(X7,X6))
      | nil != sk4
      | ssList(sk8(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f261,f191,f190,f190,f191]) ).

fof(f261,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | ssList(sk12(X7,X6))
      | ~ ssList(X6)
      | nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | ssList(sk8(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_76) ).

fof(f2523,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | ssList(sk12(sk6,sk5))
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2522,f194]) ).

fof(f2522,plain,
    ( ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2521,f193]) ).

fof(f2521,plain,
    ( ssList(sk12(sk6,sk5))
    | ~ ssList(sk6)
    | ~ ssList(sk8(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f2517,f192]) ).

fof(f2517,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | ~ ssList(sk8(sk6,sk5))
    | ~ ssList(sk6)
    | ssList(sk12(sk6,sk5))
    | sk4 != app(app(sk5,sk3),sk6) ),
    inference(duplicate_literal_removal,[],[f2510]) ).

fof(f2510,plain,
    ( nil != sk4
    | sk4 != app(app(sk5,sk3),sk6)
    | nil != sk4
    | ~ ssList(sk6)
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk5)
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(resolution,[],[f2501,f454]) ).

fof(f454,plain,
    ! [X6,X7] :
      ( ssList(sk10(X7,X6))
      | nil != sk4
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk12(X7,X6))
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f384,f195]) ).

fof(f384,plain,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | ssList(sk10(X7,X6))
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f269,f190,f190,f191,f191]) ).

fof(f269,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | ssList(sk10(X7,X6))
      | ssList(sk12(X7,X6))
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_84) ).

fof(f2501,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ssList(sk12(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk8(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2500]) ).

fof(f2500,plain,
    ( ~ ssList(sk10(sk6,sk5))
    | ~ ssList(sk8(sk6,sk5))
    | ssList(sk12(sk6,sk5))
    | nil != sk4
    | sk3 != sk3 ),
    inference(duplicate_literal_removal,[],[f2490]) ).

fof(f2490,plain,
    ( ~ ssList(sk8(sk6,sk5))
    | nil != sk4
    | sk3 != sk3
    | ssList(sk12(sk6,sk5))
    | ~ ssList(sk10(sk6,sk5))
    | nil != sk4 ),
    inference(superposition,[],[f2064,f2370]) ).

fof(f2064,plain,
    ! [X7] :
      ( sk3 != app(cons(sk9(sk6,sk5),nil),X7)
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(X7)
      | nil != sk4
      | ssList(sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2063,f193]) ).

fof(f2063,plain,
    ! [X7] :
      ( ~ ssList(sk6)
      | nil != sk4
      | ~ ssList(X7)
      | ssList(sk12(sk6,sk5))
      | ~ ssList(sk8(sk6,sk5))
      | sk3 != app(cons(sk9(sk6,sk5),nil),X7) ),
    inference(subsumption_resolution,[],[f2062,f194]) ).

fof(f2062,plain,
    ! [X7] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | nil != sk4
      | ~ ssList(sk6)
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(X7)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X7)
      | ssList(sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2053,f192]) ).

fof(f2053,plain,
    ! [X7] :
      ( ~ ssList(sk5)
      | ~ ssList(X7)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk6)
      | ~ ssList(sk8(sk6,sk5))
      | sk3 != app(cons(sk9(sk6,sk5),nil),X7)
      | nil != sk4
      | ssList(sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f2052]) ).

fof(f2052,plain,
    ! [X7] :
      ( sk5 != sk5
      | ~ ssList(sk8(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X7)
      | sk3 != app(cons(sk9(sk6,sk5),nil),X7)
      | ssList(sk12(sk6,sk5))
      | ~ ssList(sk6)
      | nil != sk4
      | ~ ssList(sk5) ),
    inference(duplicate_literal_removal,[],[f2041]) ).

fof(f2041,plain,
    ! [X7] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(X7)
      | ssList(sk12(sk6,sk5))
      | ~ ssList(sk5)
      | nil != sk4
      | sk3 != app(cons(sk9(sk6,sk5),nil),X7)
      | sk5 != sk5
      | nil != sk4
      | ~ ssList(sk6) ),
    inference(superposition,[],[f520,f2027]) ).

fof(f520,plain,
    ! [X6,X7,X4,X5] :
      ( sk5 != app(X7,cons(sk7(X4,X5),nil))
      | ~ ssList(X6)
      | sk3 != app(cons(sk9(X4,X5),nil),X6)
      | ssList(sk12(X4,X5))
      | ~ ssList(X7)
      | ~ ssList(X4)
      | sk4 != app(app(X5,sk3),X4)
      | ~ ssList(X5)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f519,f440]) ).

fof(f440,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk12(X7,X6))
      | nil != sk4
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f339,f195]) ).

fof(f339,plain,
    ! [X6,X7] :
      ( nil != sk4
      | ~ ssList(X7)
      | ssItem(sk9(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ssList(sk12(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f268,f191,f190,f190,f191]) ).

fof(f268,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | ssList(sk12(X7,X6))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_83) ).

fof(f519,plain,
    ! [X6,X7,X4,X5] :
      ( sk4 != app(app(X5,sk3),X4)
      | ~ ssList(X4)
      | sk3 != app(cons(sk9(X4,X5),nil),X6)
      | nil != sk4
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk5 != app(X7,cons(sk7(X4,X5),nil))
      | ~ ssList(X5)
      | ssList(sk12(X4,X5))
      | ~ ssItem(sk9(X4,X5)) ),
    inference(subsumption_resolution,[],[f518,f443]) ).

fof(f443,plain,
    ! [X6,X7] :
      ( ssItem(sk7(X7,X6))
      | nil != sk4
      | ~ ssList(X7)
      | ssList(sk12(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f359,f195]) ).

fof(f359,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ssItem(sk7(X7,X6))
      | ssList(sk12(X7,X6)) ),
    inference(definition_unfolding,[],[f249,f190,f190,f191,f191]) ).

fof(f249,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk12(X7,X6))
      | ssItem(sk7(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_64) ).

fof(f518,plain,
    ! [X6,X7,X4,X5] :
      ( ~ ssItem(sk9(X4,X5))
      | ~ ssList(X7)
      | ~ ssList(X4)
      | sk4 != app(app(X5,sk3),X4)
      | sk5 != app(X7,cons(sk7(X4,X5),nil))
      | ssList(sk12(X4,X5))
      | nil != sk4
      | ~ ssList(X6)
      | ~ ssList(X5)
      | sk3 != app(cons(sk9(X4,X5),nil),X6)
      | ~ ssItem(sk7(X4,X5)) ),
    inference(resolution,[],[f516,f196]) ).

fof(f516,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | nil != sk4
      | ssList(sk12(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f343,f195]) ).

fof(f343,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ssList(sk12(X7,X6))
      | nil != sk4
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f271,f191,f190,f191,f190]) ).

fof(f271,axiom,
    ! [X6,X7] :
      ( ssList(sk12(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | nil != sk2
      | lt(sk7(X7,X6),sk9(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_86) ).

fof(f3338,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk3 != app(X0,cons(sk13(sk6,sk5),sk3))
      | ~ ssList(sk12(sk6,sk5)) ),
    inference(trivial_inequality_removal,[],[f3337]) ).

fof(f3337,plain,
    ! [X0] :
      ( sk6 != sk6
      | ~ ssList(sk12(sk6,sk5))
      | sk3 != app(X0,cons(sk13(sk6,sk5),sk3))
      | ~ ssList(X0) ),
    inference(superposition,[],[f3336,f3123]) ).

fof(f3123,plain,
    sk6 = app(cons(sk11(sk6,sk5),sk3),sk12(sk6,sk5)),
    inference(subsumption_resolution,[],[f2931,f3050]) ).

fof(f2931,plain,
    ( sk3 != sk4
    | sk6 = app(cons(sk11(sk6,sk5),sk3),sk12(sk6,sk5)) ),
    inference(forward_demodulation,[],[f2881,f2716]) ).

fof(f2881,plain,
    ( nil != sk4
    | sk6 = app(cons(sk11(sk6,sk5),sk3),sk12(sk6,sk5)) ),
    inference(backward_demodulation,[],[f1407,f2716]) ).

fof(f3336,plain,
    ! [X0,X1] :
      ( sk6 != app(cons(sk11(sk6,sk5),sk3),X1)
      | sk3 != app(X0,cons(sk13(sk6,sk5),sk3))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3335,f2716]) ).

fof(f3335,plain,
    ! [X0,X1] :
      ( sk6 != app(cons(sk11(sk6,sk5),sk3),X1)
      | ~ ssList(X0)
      | nil != sk3
      | ~ ssList(X1)
      | sk3 != app(X0,cons(sk13(sk6,sk5),sk3)) ),
    inference(forward_demodulation,[],[f3334,f3050]) ).

fof(f3334,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | sk6 != app(cons(sk11(sk6,sk5),sk3),X1)
      | nil != sk4
      | sk3 != app(X0,cons(sk13(sk6,sk5),sk3))
      | ~ ssList(X1) ),
    inference(forward_demodulation,[],[f3333,f2716]) ).

fof(f3333,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X1)
      | ~ ssList(X1)
      | nil != sk4
      | sk3 != app(X0,cons(sk13(sk6,sk5),sk3)) ),
    inference(forward_demodulation,[],[f3332,f2716]) ).

fof(f3332,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | nil != sk4
      | sk6 != app(cons(sk11(sk6,sk5),nil),X1) ),
    inference(subsumption_resolution,[],[f3331,f3139]) ).

fof(f3139,plain,
    ssList(sk8(sk6,sk5)),
    inference(subsumption_resolution,[],[f3138,f3050]) ).

fof(f3138,plain,
    ( sk3 != sk4
    | ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f3137,f3112]) ).

fof(f3137,plain,
    ( ~ ssList(sk12(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | sk3 != sk4 ),
    inference(subsumption_resolution,[],[f2895,f3109]) ).

fof(f2895,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | sk3 != sk4
    | ssList(sk8(sk6,sk5)) ),
    inference(backward_demodulation,[],[f1764,f2716]) ).

fof(f1764,plain,
    ( ssList(sk8(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | ~ ssList(sk14(sk6,sk5))
    | nil != sk4 ),
    inference(trivial_inequality_removal,[],[f1763]) ).

fof(f1763,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | sk3 != sk3
    | ~ ssList(sk12(sk6,sk5))
    | nil != sk4 ),
    inference(duplicate_literal_removal,[],[f1761]) ).

fof(f1761,plain,
    ( sk3 != sk3
    | nil != sk4
    | ~ ssList(sk12(sk6,sk5))
    | ssList(sk8(sk6,sk5))
    | nil != sk4
    | ~ ssList(sk14(sk6,sk5)) ),
    inference(superposition,[],[f1448,f1713]) ).

fof(f1448,plain,
    ! [X3] :
      ( sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(X3)
      | nil != sk4
      | ssList(sk8(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1447,f194]) ).

fof(f1447,plain,
    ! [X3] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X3)
      | ~ ssList(sk12(sk6,sk5))
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | ssList(sk8(sk6,sk5))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f1446,f193]) ).

fof(f1446,plain,
    ! [X3] :
      ( ssList(sk8(sk6,sk5))
      | ~ ssList(sk6)
      | ~ ssList(sk12(sk6,sk5))
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X3)
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f1445,f192]) ).

fof(f1445,plain,
    ! [X3] :
      ( sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | ssList(sk8(sk6,sk5))
      | ~ ssList(sk5)
      | ~ ssList(sk12(sk6,sk5))
      | nil != sk4
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk6)
      | ~ ssList(X3) ),
    inference(trivial_inequality_removal,[],[f1444]) ).

fof(f1444,plain,
    ! [X3] :
      ( ~ ssList(sk6)
      | nil != sk4
      | sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X3)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk5)
      | sk6 != sk6
      | ~ ssList(sk12(sk6,sk5))
      | ssList(sk8(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1433]) ).

fof(f1433,plain,
    ! [X3] :
      ( sk3 != app(X3,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(X3)
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | nil != sk4
      | ssList(sk8(sk6,sk5))
      | nil != sk4
      | sk4 != app(app(sk5,sk3),sk6)
      | sk6 != sk6 ),
    inference(superposition,[],[f548,f1407]) ).

fof(f548,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X0)
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ssList(sk8(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | nil != sk4
      | ~ ssList(X2)
      | sk4 != app(app(X0,sk3),X1) ),
    inference(subsumption_resolution,[],[f547,f438]) ).

fof(f438,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | ~ ssList(X6)
      | nil != sk4
      | ssList(sk8(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f335,f195]) ).

fof(f335,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | nil != sk4
      | ssItem(sk13(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk8(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f263,f190,f191,f191,f190]) ).

fof(f263,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | nil != sk2
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssItem(sk13(X7,X6))
      | ssList(sk8(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_78) ).

fof(f547,plain,
    ! [X2,X3,X0,X1] :
      ( sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssList(X2)
      | ssList(sk8(X1,X0))
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssItem(sk13(X1,X0))
      | ~ ssList(X1)
      | nil != sk4
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X0)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f545,f455]) ).

fof(f455,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk8(X7,X6))
      | nil != sk4
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f386,f195]) ).

fof(f386,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ssList(sk8(X7,X6))
      | ~ ssList(X7)
      | nil != sk4
      | ~ strictorderedP(sk3)
      | ssItem(sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f255,f190,f191,f190,f191]) ).

fof(f255,axiom,
    ! [X6,X7] :
      ( ssList(sk8(X7,X6))
      | nil != sk2
      | ~ strictorderedP(sk1)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ssItem(sk11(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_70) ).

fof(f545,plain,
    ! [X2,X3,X0,X1] :
      ( nil != sk4
      | ~ ssItem(sk13(X1,X0))
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssList(X2)
      | ssList(sk8(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(sk11(X1,X0))
      | ~ ssList(X3)
      | sk4 != app(app(X0,sk3),X1) ),
    inference(resolution,[],[f544,f197]) ).

fof(f544,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | nil != sk4
      | ssList(sk8(X7,X6))
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f352,f195]) ).

fof(f352,plain,
    ! [X6,X7] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ssList(sk8(X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f266,f190,f191,f191,f190]) ).

fof(f266,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ~ strictorderedP(sk1)
      | ssList(sk8(X7,X6))
      | lt(sk13(X7,X6),sk11(X7,X6))
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_81) ).

fof(f3331,plain,
    ! [X0,X1] :
      ( ~ ssList(sk8(sk6,sk5))
      | nil != sk4
      | sk6 != app(cons(sk11(sk6,sk5),nil),X1)
      | ~ ssList(X0)
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f2730,f3144]) ).

fof(f3144,plain,
    ssList(sk10(sk6,sk5)),
    inference(subsumption_resolution,[],[f3143,f3109]) ).

fof(f3143,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f3142,f3050]) ).

fof(f3142,plain,
    ( ssList(sk10(sk6,sk5))
    | sk3 != sk4
    | ~ ssList(sk14(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2896,f3112]) ).

fof(f2896,plain,
    ( ssList(sk10(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | sk3 != sk4
    | ~ ssList(sk14(sk6,sk5)) ),
    inference(backward_demodulation,[],[f1779,f2716]) ).

fof(f1779,plain,
    ( ssList(sk10(sk6,sk5))
    | ~ ssList(sk14(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | nil != sk4 ),
    inference(trivial_inequality_removal,[],[f1778]) ).

fof(f1778,plain,
    ( ~ ssList(sk14(sk6,sk5))
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5))
    | nil != sk4
    | sk3 != sk3 ),
    inference(duplicate_literal_removal,[],[f1776]) ).

fof(f1776,plain,
    ( sk3 != sk3
    | ~ ssList(sk14(sk6,sk5))
    | nil != sk4
    | nil != sk4
    | ssList(sk10(sk6,sk5))
    | ~ ssList(sk12(sk6,sk5)) ),
    inference(superposition,[],[f1451,f1713]) ).

fof(f1451,plain,
    ! [X4] :
      ( sk3 != app(X4,cons(sk13(sk6,sk5),nil))
      | nil != sk4
      | ssList(sk10(sk6,sk5))
      | ~ ssList(X4)
      | ~ ssList(sk12(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f1450,f192]) ).

fof(f1450,plain,
    ! [X4] :
      ( nil != sk4
      | ssList(sk10(sk6,sk5))
      | ~ ssList(sk12(sk6,sk5))
      | sk3 != app(X4,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk5)
      | ~ ssList(X4) ),
    inference(subsumption_resolution,[],[f1449,f193]) ).

fof(f1449,plain,
    ! [X4] :
      ( ssList(sk10(sk6,sk5))
      | ~ ssList(X4)
      | ~ ssList(sk6)
      | ~ ssList(sk12(sk6,sk5))
      | nil != sk4
      | sk3 != app(X4,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f1443,f194]) ).

fof(f1443,plain,
    ! [X4] :
      ( sk4 != app(app(sk5,sk3),sk6)
      | sk3 != app(X4,cons(sk13(sk6,sk5),nil))
      | nil != sk4
      | ~ ssList(sk12(sk6,sk5))
      | ~ ssList(X4)
      | ssList(sk10(sk6,sk5))
      | ~ ssList(sk6)
      | ~ ssList(sk5) ),
    inference(trivial_inequality_removal,[],[f1442]) ).

fof(f1442,plain,
    ! [X4] :
      ( sk3 != app(X4,cons(sk13(sk6,sk5),nil))
      | sk6 != sk6
      | ~ ssList(X4)
      | ssList(sk10(sk6,sk5))
      | ~ ssList(sk6)
      | sk4 != app(app(sk5,sk3),sk6)
      | nil != sk4
      | ~ ssList(sk5)
      | ~ ssList(sk12(sk6,sk5)) ),
    inference(duplicate_literal_removal,[],[f1434]) ).

fof(f1434,plain,
    ! [X4] :
      ( ~ ssList(sk5)
      | nil != sk4
      | nil != sk4
      | ssList(sk10(sk6,sk5))
      | ~ ssList(sk6)
      | ~ ssList(X4)
      | sk4 != app(app(sk5,sk3),sk6)
      | sk3 != app(X4,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk12(sk6,sk5))
      | sk6 != sk6 ),
    inference(superposition,[],[f564,f1407]) ).

fof(f564,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssList(X3)
      | sk4 != app(app(X1,sk3),X0)
      | nil != sk4
      | ~ ssList(X0)
      | ssList(sk10(X0,X1))
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f563,f442]) ).

fof(f442,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | nil != sk4
      | ssList(sk10(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f346,f195]) ).

fof(f346,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ssList(sk10(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil != sk4
      | ssItem(sk13(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f285,f190,f191,f190,f191]) ).

fof(f285,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | ssItem(sk13(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssList(sk10(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_100) ).

fof(f563,plain,
    ! [X2,X3,X0,X1] :
      ( nil != sk4
      | ~ ssList(X0)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssItem(sk13(X0,X1))
      | ~ ssList(X2)
      | ssList(sk10(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X1)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f559,f453]) ).

fof(f453,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil != sk4
      | ssList(sk10(X7,X6))
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f381,f195]) ).

fof(f381,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ssList(sk10(X7,X6))
      | ssItem(sk11(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f258,f191,f190,f190,f191]) ).

fof(f258,axiom,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ~ strictorderedP(sk1)
      | ~ ssList(X6)
      | nil != sk2
      | ssList(sk10(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_73) ).

fof(f559,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X3)
      | ~ ssItem(sk13(X0,X1))
      | ~ ssItem(sk11(X0,X1))
      | nil != sk4
      | ~ ssList(X1)
      | ~ ssList(X2)
      | sk4 != app(app(X1,sk3),X0)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X0)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ssList(sk10(X0,X1)) ),
    inference(resolution,[],[f558,f197]) ).

fof(f558,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | ssList(sk10(X7,X6))
      | ~ ssList(X7)
      | nil != sk4
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f391,f195]) ).

fof(f391,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | ssList(sk10(X7,X6))
      | nil != sk4 ),
    inference(definition_unfolding,[],[f290,f190,f190,f191,f191]) ).

fof(f290,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | ssList(sk10(X7,X6))
      | ~ ssList(X7)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_105) ).

fof(f2730,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk10(sk6,sk5))
      | nil != sk4
      | ~ ssList(sk8(sk6,sk5))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X1) ),
    inference(trivial_inequality_removal,[],[f2729]) ).

fof(f2729,plain,
    ! [X0,X1] :
      ( ~ ssList(sk10(sk6,sk5))
      | sk5 != sk5
      | ~ ssList(sk8(sk6,sk5))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X1)
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | nil != sk4 ),
    inference(duplicate_literal_removal,[],[f2721]) ).

fof(f2721,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X1)
      | sk5 != sk5
      | sk3 != app(X0,cons(sk13(sk6,sk5),nil))
      | nil != sk4
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(sk8(sk6,sk5))
      | nil != sk4 ),
    inference(superposition,[],[f2427,f2027]) ).

fof(f2427,plain,
    ! [X16,X17,X15] :
      ( sk5 != app(X16,cons(sk7(sk6,sk5),nil))
      | ~ ssList(X16)
      | sk3 != app(X15,cons(sk13(sk6,sk5),nil))
      | sk6 != app(cons(sk11(sk6,sk5),nil),X17)
      | ~ ssList(X17)
      | ~ ssList(X15)
      | nil != sk4
      | ~ ssList(sk10(sk6,sk5)) ),
    inference(subsumption_resolution,[],[f2426,f193]) ).

fof(f2426,plain,
    ! [X16,X17,X15] :
      ( ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X17)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X17)
      | sk3 != app(X15,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X15)
      | ~ ssList(sk6)
      | ~ ssList(X16)
      | sk5 != app(X16,cons(sk7(sk6,sk5),nil))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f2425,f192]) ).

fof(f2425,plain,
    ! [X16,X17,X15] :
      ( sk6 != app(cons(sk11(sk6,sk5),nil),X17)
      | ~ ssList(X15)
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X16)
      | nil != sk4
      | sk5 != app(X16,cons(sk7(sk6,sk5),nil))
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | sk3 != app(X15,cons(sk13(sk6,sk5),nil))
      | ~ ssList(X17) ),
    inference(subsumption_resolution,[],[f2408,f194]) ).

fof(f2408,plain,
    ! [X16,X17,X15] :
      ( nil != sk4
      | sk6 != app(cons(sk11(sk6,sk5),nil),X17)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(X16)
      | ~ ssList(X17)
      | ~ ssList(sk6)
      | ~ ssList(X15)
      | ~ ssList(sk5)
      | ~ ssList(sk10(sk6,sk5))
      | sk3 != app(X15,cons(sk13(sk6,sk5),nil))
      | sk5 != app(X16,cons(sk7(sk6,sk5),nil)) ),
    inference(trivial_inequality_removal,[],[f2407]) ).

fof(f2407,plain,
    ! [X16,X17,X15] :
      ( sk5 != app(X16,cons(sk7(sk6,sk5),nil))
      | sk3 != app(X15,cons(sk13(sk6,sk5),nil))
      | nil != sk4
      | ~ ssList(sk5)
      | ~ ssList(X17)
      | ~ ssList(X16)
      | sk4 != app(app(sk5,sk3),sk6)
      | ~ ssList(sk6)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X17)
      | ~ ssList(sk10(sk6,sk5))
      | sk3 != sk3
      | ~ ssList(X15) ),
    inference(duplicate_literal_removal,[],[f2384]) ).

fof(f2384,plain,
    ! [X16,X17,X15] :
      ( ~ ssList(X16)
      | ~ ssList(sk10(sk6,sk5))
      | ~ ssList(X15)
      | sk5 != app(X16,cons(sk7(sk6,sk5),nil))
      | sk3 != sk3
      | sk3 != app(X15,cons(sk13(sk6,sk5),nil))
      | ~ ssList(sk5)
      | sk6 != app(cons(sk11(sk6,sk5),nil),X17)
      | nil != sk4
      | ~ ssList(X17)
      | nil != sk4
      | ~ ssList(sk6)
      | sk4 != app(app(sk5,sk3),sk6) ),
    inference(superposition,[],[f1139,f2370]) ).

fof(f1139,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sk3 != app(cons(sk9(X7,X6),nil),X10)
      | sk3 != app(X8,cons(sk13(X7,X6),nil))
      | ~ ssList(X11)
      | sk6 != app(cons(sk11(X7,X6),nil),X9)
      | sk5 != app(X11,cons(sk7(X7,X6),nil))
      | ~ ssList(X8)
      | ~ ssList(X9)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ~ ssList(X10)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f1138,f492]) ).

fof(f492,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sk9(X0,X1))
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil != sk4
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f491,f432]) ).

fof(f432,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ssItem(sk11(X7,X6))
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f322,f195]) ).

fof(f322,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | ssItem(sk9(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil != sk4
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f257,f190,f191,f190,f191]) ).

fof(f257,axiom,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | ssItem(sk11(X7,X6))
      | ~ ssList(X6)
      | nil != sk2
      | ~ ssList(X7)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_72) ).

fof(f491,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | ssItem(sk9(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssItem(sk11(X0,X1))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | nil != sk4
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f489,f437]) ).

fof(f437,plain,
    ! [X6,X7] :
      ( ssItem(sk9(X7,X6))
      | nil != sk4
      | ssItem(sk13(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f334,f195]) ).

fof(f334,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ~ ssList(X6)
      | ssItem(sk13(X7,X6))
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ssItem(sk9(X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f281,f191,f190,f190,f191]) ).

fof(f281,axiom,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | ~ strictorderedP(sk1)
      | nil != sk2
      | ~ ssList(X7)
      | sk2 != app(app(X6,sk1),X7)
      | ssItem(sk9(X7,X6))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_96) ).

fof(f489,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(sk13(X0,X1))
      | ~ ssItem(sk11(X0,X1))
      | nil != sk4
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ssItem(sk9(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X0)
      | ~ ssList(X3) ),
    inference(resolution,[],[f488,f197]) ).

fof(f488,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | ssItem(sk9(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f327,f195]) ).

fof(f327,plain,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | nil != sk4
      | ~ strictorderedP(sk3)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7)
      | ssItem(sk9(X7,X6)) ),
    inference(definition_unfolding,[],[f284,f191,f190,f190,f191]) ).

fof(f284,axiom,
    ! [X6,X7] :
      ( ~ strictorderedP(sk1)
      | ssItem(sk9(X7,X6))
      | nil != sk2
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_99) ).

fof(f1138,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | sk3 != app(cons(sk9(X7,X6),nil),X10)
      | nil != sk4
      | sk6 != app(cons(sk11(X7,X6),nil),X9)
      | ~ ssList(X10)
      | ~ ssItem(sk9(X7,X6))
      | sk3 != app(X8,cons(sk13(X7,X6),nil))
      | ~ ssList(X11)
      | ~ ssList(X9)
      | sk5 != app(X11,cons(sk7(X7,X6),nil))
      | ~ ssList(X8) ),
    inference(subsumption_resolution,[],[f1137,f534]) ).

fof(f534,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sk7(X0,X1))
      | ~ ssList(X3)
      | nil != sk4
      | sk4 != app(app(X1,sk3),X0)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f533,f431]) ).

fof(f431,plain,
    ! [X6,X7] :
      ( ssItem(sk13(X7,X6))
      | ~ ssList(X6)
      | ssItem(sk7(X7,X6))
      | nil != sk4
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f321,f195]) ).

fof(f321,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ~ strictorderedP(sk3)
      | nil != sk4
      | ssItem(sk13(X7,X6))
      | ssItem(sk7(X7,X6)) ),
    inference(definition_unfolding,[],[f251,f190,f191,f190,f191]) ).

fof(f251,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | nil != sk2
      | ssItem(sk13(X7,X6))
      | ~ ssList(X7)
      | ssItem(sk7(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_66) ).

fof(f533,plain,
    ! [X2,X3,X0,X1] :
      ( sk6 != app(cons(sk11(X0,X1),nil),X2)
      | ssItem(sk7(X0,X1))
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssItem(sk13(X0,X1))
      | ~ ssList(X3)
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X0)
      | nil != sk4
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f531,f446]) ).

fof(f446,plain,
    ! [X6,X7] :
      ( ssItem(sk11(X7,X6))
      | sk4 != app(app(X6,sk3),X7)
      | nil != sk4
      | ~ ssList(X7)
      | ~ ssList(X6)
      | ssItem(sk7(X7,X6)) ),
    inference(subsumption_resolution,[],[f364,f195]) ).

fof(f364,plain,
    ! [X6,X7] :
      ( sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | nil != sk4
      | ~ ssList(X7)
      | ssItem(sk7(X7,X6))
      | ssItem(sk11(X7,X6)) ),
    inference(definition_unfolding,[],[f200,f190,f191,f191,f190]) ).

fof(f200,axiom,
    ! [X6,X7] :
      ( sk2 != app(app(X6,sk1),X7)
      | ssItem(sk7(X7,X6))
      | ~ strictorderedP(sk1)
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | ~ ssList(X6)
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f531,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | sk3 != app(X3,cons(sk13(X0,X1),nil))
      | ~ ssList(X1)
      | sk6 != app(cons(sk11(X0,X1),nil),X2)
      | nil != sk4
      | ssItem(sk7(X0,X1))
      | sk4 != app(app(X1,sk3),X0)
      | ~ ssList(X2)
      | ~ ssItem(sk11(X0,X1))
      | ~ ssList(X3)
      | ~ ssItem(sk13(X0,X1)) ),
    inference(resolution,[],[f530,f197]) ).

fof(f530,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ssItem(sk7(X7,X6))
      | nil != sk4
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f348,f195]) ).

fof(f348,plain,
    ! [X6,X7] :
      ( nil != sk4
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ssItem(sk7(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | lt(sk13(X7,X6),sk11(X7,X6)) ),
    inference(definition_unfolding,[],[f254,f190,f190,f191,f191]) ).

fof(f254,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | sk2 != app(app(X6,sk1),X7)
      | ssItem(sk7(X7,X6))
      | ~ strictorderedP(sk1)
      | ~ ssList(X7)
      | lt(sk13(X7,X6),sk11(X7,X6))
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_69) ).

fof(f1137,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ ssList(X6)
      | sk6 != app(cons(sk11(X7,X6),nil),X9)
      | ~ ssItem(sk9(X7,X6))
      | ~ ssList(X8)
      | sk3 != app(X8,cons(sk13(X7,X6),nil))
      | ~ ssList(X7)
      | sk5 != app(X11,cons(sk7(X7,X6),nil))
      | ~ ssList(X9)
      | sk3 != app(cons(sk9(X7,X6),nil),X10)
      | ~ ssList(X11)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X10)
      | nil != sk4
      | ~ ssItem(sk7(X7,X6)) ),
    inference(resolution,[],[f583,f196]) ).

fof(f583,plain,
    ! [X2,X3,X0,X1] :
      ( lt(sk7(X1,X0),sk9(X1,X0))
      | sk4 != app(app(X0,sk3),X1)
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | nil != sk4
      | ~ ssList(X3)
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f582,f537]) ).

fof(f537,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | ssItem(sk11(X7,X6))
      | ~ ssList(X7)
      | nil != sk4
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7) ),
    inference(subsumption_resolution,[],[f349,f195]) ).

fof(f349,plain,
    ! [X6,X7] :
      ( nil != sk4
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ssItem(sk11(X7,X6))
      | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f260,f190,f190,f191,f191]) ).

fof(f260,axiom,
    ! [X6,X7] :
      ( nil != sk2
      | ssItem(sk11(X7,X6))
      | ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X7)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_75) ).

fof(f582,plain,
    ! [X2,X3,X0,X1] :
      ( sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | lt(sk7(X1,X0),sk9(X1,X0))
      | sk3 != app(X3,cons(sk13(X1,X0),nil))
      | ~ ssItem(sk11(X1,X0))
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | nil != sk4 ),
    inference(subsumption_resolution,[],[f580,f565]) ).

fof(f565,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | ssItem(sk13(X7,X6))
      | ~ ssList(X6)
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f392,f195]) ).

fof(f392,plain,
    ! [X6,X7] :
      ( lt(sk7(X7,X6),sk9(X7,X6))
      | ssItem(sk13(X7,X6))
      | ~ ssList(X6)
      | ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | nil != sk4
      | sk4 != app(app(X6,sk3),X7) ),
    inference(definition_unfolding,[],[f287,f190,f191,f191,f190]) ).

fof(f287,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | sk2 != app(app(X6,sk1),X7)
      | ~ ssList(X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ strictorderedP(sk1)
      | ssItem(sk13(X7,X6))
      | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_102) ).

fof(f580,plain,
    ! [X2,X3,X0,X1] :
      ( nil != sk4
      | lt(sk7(X1,X0),sk9(X1,X0))
      | ~ ssItem(sk11(X1,X0))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(sk13(X1,X0))
      | sk6 != app(cons(sk11(X1,X0),nil),X2)
      | sk4 != app(app(X0,sk3),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | sk3 != app(X3,cons(sk13(X1,X0),nil)) ),
    inference(resolution,[],[f579,f197]) ).

fof(f579,plain,
    ! [X6,X7] :
      ( lt(sk13(X7,X6),sk11(X7,X6))
      | nil != sk4
      | ~ ssList(X6)
      | sk4 != app(app(X6,sk3),X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f358,f195]) ).

fof(f358,plain,
    ! [X6,X7] :
      ( ~ strictorderedP(sk3)
      | ~ ssList(X7)
      | sk4 != app(app(X6,sk3),X7)
      | ~ ssList(X6)
      | nil != sk4
      | lt(sk7(X7,X6),sk9(X7,X6))
      | lt(sk13(X7,X6),sk11(X7,X6)) ),
    inference(definition_unfolding,[],[f296,f190,f191,f190,f191]) ).

fof(f296,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | lt(sk7(X7,X6),sk9(X7,X6))
      | lt(sk13(X7,X6),sk11(X7,X6))
      | sk2 != app(app(X6,sk1),X7)
      | nil != sk2
      | ~ ssList(X6)
      | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_111) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC344-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 18:48:20 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.49  % (22649)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (22660)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.49  % (22652)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (22657)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (22644)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (22642)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (22641)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (22643)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (22665)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52  % (22659)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (22662)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (22651)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (22639)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (22640)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53  % (22638)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53  % (22664)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (22647)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (22667)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54  % (22654)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (22666)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (22661)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54  % (22645)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (22653)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54  % (22655)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (22656)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (22658)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54  % (22645)Instruction limit reached!
% 0.19/0.54  % (22645)------------------------------
% 0.19/0.54  % (22645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (22645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (22645)Termination reason: Unknown
% 0.19/0.54  % (22645)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (22645)Memory used [KB]: 5756
% 0.19/0.54  % (22645)Time elapsed: 0.006 s
% 0.19/0.54  % (22645)Instructions burned: 8 (million)
% 0.19/0.54  % (22645)------------------------------
% 0.19/0.54  % (22645)------------------------------
% 0.19/0.54  % (22650)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55  % (22663)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (22646)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (22648)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55  % (22646)Instruction limit reached!
% 0.19/0.55  % (22646)------------------------------
% 0.19/0.55  % (22646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (22646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (22646)Termination reason: Unknown
% 0.19/0.55  % (22646)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (22646)Memory used [KB]: 1151
% 0.19/0.55  % (22646)Time elapsed: 0.004 s
% 0.19/0.55  % (22646)Instructions burned: 3 (million)
% 0.19/0.55  % (22646)------------------------------
% 0.19/0.55  % (22646)------------------------------
% 0.19/0.56  % (22644)Instruction limit reached!
% 0.19/0.56  % (22644)------------------------------
% 0.19/0.56  % (22644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (22644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (22644)Termination reason: Unknown
% 0.19/0.56  % (22644)Termination phase: Finite model building preprocessing
% 0.19/0.56  
% 0.19/0.56  % (22644)Memory used [KB]: 2174
% 0.19/0.56  % (22644)Time elapsed: 0.044 s
% 0.19/0.56  % (22644)Instructions burned: 52 (million)
% 0.19/0.56  % (22644)------------------------------
% 0.19/0.56  % (22644)------------------------------
% 1.66/0.58  % (22640)Instruction limit reached!
% 1.66/0.58  % (22640)------------------------------
% 1.66/0.58  % (22640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (22640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (22640)Termination reason: Unknown
% 1.66/0.58  % (22640)Termination phase: Saturation
% 1.66/0.58  
% 1.66/0.58  % (22640)Memory used [KB]: 1279
% 1.66/0.58  % (22640)Time elapsed: 0.020 s
% 1.66/0.58  % (22640)Instructions burned: 38 (million)
% 1.66/0.58  % (22640)------------------------------
% 1.66/0.58  % (22640)------------------------------
% 1.83/0.59  % (22652)Instruction limit reached!
% 1.83/0.59  % (22652)------------------------------
% 1.83/0.59  % (22652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (22652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (22652)Termination reason: Unknown
% 1.83/0.59  % (22652)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  % (22652)Memory used [KB]: 7164
% 1.83/0.59  % (22652)Time elapsed: 0.068 s
% 1.83/0.59  % (22652)Instructions burned: 68 (million)
% 1.83/0.59  % (22652)------------------------------
% 1.83/0.59  % (22652)------------------------------
% 1.83/0.59  % (22642)Instruction limit reached!
% 1.83/0.59  % (22642)------------------------------
% 1.83/0.59  % (22642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (22642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (22642)Termination reason: Unknown
% 1.83/0.59  % (22642)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  % (22642)Memory used [KB]: 6140
% 1.83/0.59  % (22642)Time elapsed: 0.201 s
% 1.83/0.59  % (22642)Instructions burned: 52 (million)
% 1.83/0.59  % (22642)------------------------------
% 1.83/0.59  % (22642)------------------------------
% 1.83/0.61  % (22643)Instruction limit reached!
% 1.83/0.61  % (22643)------------------------------
% 1.83/0.61  % (22643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (22643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (22643)Termination reason: Unknown
% 1.83/0.61  % (22643)Termination phase: Saturation
% 1.83/0.61  
% 1.83/0.61  % (22643)Memory used [KB]: 6524
% 1.83/0.61  % (22643)Time elapsed: 0.196 s
% 1.83/0.61  % (22643)Instructions burned: 50 (million)
% 1.83/0.61  % (22643)------------------------------
% 1.83/0.61  % (22643)------------------------------
% 1.83/0.61  % (22639)Instruction limit reached!
% 1.83/0.61  % (22639)------------------------------
% 1.83/0.61  % (22639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (22639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (22639)Termination reason: Unknown
% 1.83/0.62  % (22639)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (22639)Memory used [KB]: 6652
% 1.83/0.62  % (22639)Time elapsed: 0.201 s
% 1.83/0.62  % (22639)Instructions burned: 50 (million)
% 1.83/0.62  % (22639)------------------------------
% 1.83/0.62  % (22639)------------------------------
% 1.83/0.62  % (22641)Instruction limit reached!
% 1.83/0.62  % (22641)------------------------------
% 1.83/0.62  % (22641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (22641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (22641)Termination reason: Unknown
% 1.83/0.62  % (22641)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (22641)Memory used [KB]: 6780
% 1.83/0.62  % (22641)Time elapsed: 0.204 s
% 1.83/0.62  % (22641)Instructions burned: 52 (million)
% 1.83/0.62  % (22641)------------------------------
% 1.83/0.62  % (22641)------------------------------
% 1.83/0.62  % (22655)Instruction limit reached!
% 1.83/0.62  % (22655)------------------------------
% 1.83/0.62  % (22655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (22655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (22655)Termination reason: Unknown
% 1.83/0.62  % (22655)Termination phase: Finite model building preprocessing
% 1.83/0.62  
% 1.83/0.62  % (22655)Memory used [KB]: 2046
% 1.83/0.62  % (22655)Time elapsed: 0.026 s
% 1.83/0.62  % (22655)Instructions burned: 60 (million)
% 1.83/0.62  % (22655)------------------------------
% 1.83/0.62  % (22655)------------------------------
% 2.13/0.63  % (22648)Instruction limit reached!
% 2.13/0.63  % (22648)------------------------------
% 2.13/0.63  % (22648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63  % (22648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63  % (22648)Termination reason: Unknown
% 2.13/0.63  % (22648)Termination phase: Saturation
% 2.13/0.63  
% 2.13/0.63  % (22648)Memory used [KB]: 6524
% 2.13/0.63  % (22648)Time elapsed: 0.220 s
% 2.13/0.63  % (22648)Instructions burned: 51 (million)
% 2.13/0.63  % (22648)------------------------------
% 2.13/0.63  % (22648)------------------------------
% 2.13/0.63  % (22647)Instruction limit reached!
% 2.13/0.63  % (22647)------------------------------
% 2.13/0.63  % (22647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63  % (22647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63  % (22647)Termination reason: Unknown
% 2.13/0.63  % (22647)Termination phase: Saturation
% 2.13/0.63  
% 2.13/0.63  % (22647)Memory used [KB]: 1791
% 2.13/0.63  % (22647)Time elapsed: 0.226 s
% 2.13/0.63  % (22647)Instructions burned: 52 (million)
% 2.13/0.63  % (22647)------------------------------
% 2.13/0.63  % (22647)------------------------------
% 2.20/0.66  % (22664)Instruction limit reached!
% 2.20/0.66  % (22664)------------------------------
% 2.20/0.66  % (22664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (22664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (22664)Termination reason: Unknown
% 2.20/0.66  % (22664)Termination phase: Saturation
% 2.20/0.66  
% 2.20/0.66  % (22664)Memory used [KB]: 7036
% 2.20/0.66  % (22664)Time elapsed: 0.038 s
% 2.20/0.66  % (22664)Instructions burned: 68 (million)
% 2.20/0.66  % (22664)------------------------------
% 2.20/0.66  % (22664)------------------------------
% 2.20/0.67  % (22653)Instruction limit reached!
% 2.20/0.67  % (22653)------------------------------
% 2.20/0.67  % (22653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67  % (22653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67  % (22653)Termination reason: Unknown
% 2.20/0.67  % (22653)Termination phase: Saturation
% 2.20/0.67  
% 2.20/0.67  % (22653)Memory used [KB]: 1918
% 2.20/0.67  % (22653)Time elapsed: 0.260 s
% 2.20/0.67  % (22653)Instructions burned: 76 (million)
% 2.20/0.67  % (22653)------------------------------
% 2.20/0.67  % (22653)------------------------------
% 2.20/0.67  % (22649)Instruction limit reached!
% 2.20/0.67  % (22649)------------------------------
% 2.20/0.67  % (22649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67  % (22670)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.20/0.67  % (22657)Instruction limit reached!
% 2.20/0.67  % (22657)------------------------------
% 2.20/0.67  % (22657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67  % (22657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67  % (22657)Termination reason: Unknown
% 2.20/0.67  % (22657)Termination phase: Saturation
% 2.20/0.67  
% 2.20/0.67  % (22657)Memory used [KB]: 2046
% 2.20/0.67  % (22657)Time elapsed: 0.263 s
% 2.20/0.67  % (22657)Instructions burned: 100 (million)
% 2.20/0.67  % (22657)------------------------------
% 2.20/0.67  % (22657)------------------------------
% 2.20/0.67  % (22649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67  % (22649)Termination reason: Unknown
% 2.20/0.67  % (22649)Termination phase: Saturation
% 2.20/0.67  
% 2.20/0.67  % (22649)Memory used [KB]: 7675
% 2.20/0.67  % (22649)Time elapsed: 0.253 s
% 2.20/0.67  % (22649)Instructions burned: 101 (million)
% 2.20/0.67  % (22649)------------------------------
% 2.20/0.67  % (22649)------------------------------
% 2.20/0.68  % (22669)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.20/0.70  % (22656)Instruction limit reached!
% 2.20/0.70  % (22656)------------------------------
% 2.20/0.70  % (22656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.70  % (22656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.70  % (22656)Termination reason: Unknown
% 2.20/0.70  % (22656)Termination phase: Saturation
% 2.20/0.70  
% 2.20/0.70  % (22656)Memory used [KB]: 7036
% 2.20/0.70  % (22656)Time elapsed: 0.305 s
% 2.20/0.70  % (22656)Instructions burned: 100 (million)
% 2.20/0.70  % (22656)------------------------------
% 2.20/0.70  % (22656)------------------------------
% 2.20/0.70  TRYING [1]
% 2.58/0.71  % (22668)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.58/0.71  % (22671)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.58/0.71  % (22650)Instruction limit reached!
% 2.58/0.71  % (22650)------------------------------
% 2.58/0.71  % (22650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (22650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (22650)Termination reason: Unknown
% 2.58/0.71  % (22650)Termination phase: Saturation
% 2.58/0.71  
% 2.58/0.71  % (22650)Memory used [KB]: 7419
% 2.58/0.71  % (22650)Time elapsed: 0.325 s
% 2.58/0.71  % (22650)Instructions burned: 101 (million)
% 2.58/0.71  % (22650)------------------------------
% 2.58/0.71  % (22650)------------------------------
% 2.58/0.72  % (22651)Instruction limit reached!
% 2.58/0.72  % (22651)------------------------------
% 2.58/0.72  % (22651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (22651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (22651)Termination reason: Unknown
% 2.58/0.72  % (22651)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (22651)Memory used [KB]: 7164
% 2.58/0.72  % (22651)Time elapsed: 0.326 s
% 2.58/0.72  % (22651)Instructions burned: 99 (million)
% 2.58/0.72  % (22651)------------------------------
% 2.58/0.72  % (22651)------------------------------
% 2.58/0.72  % (22672)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.58/0.72  % (22654)Instruction limit reached!
% 2.58/0.72  % (22654)------------------------------
% 2.58/0.72  % (22654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (22654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (22654)Termination reason: Unknown
% 2.58/0.72  % (22654)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (22654)Memory used [KB]: 7164
% 2.58/0.72  % (22654)Time elapsed: 0.325 s
% 2.58/0.72  % (22654)Instructions burned: 99 (million)
% 2.58/0.72  % (22654)------------------------------
% 2.58/0.72  % (22654)------------------------------
% 2.58/0.72  TRYING [2]
% 2.58/0.73  % (22673)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.58/0.74  % (22674)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.58/0.75  % (22676)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.58/0.75  % (22675)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.58/0.75  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.58/0.75  % (22677)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.58/0.76  % (22678)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.58/0.76  % (22679)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.58/0.76  % (22659)Instruction limit reached!
% 2.58/0.76  % (22659)------------------------------
% 2.58/0.76  % (22659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.76  % (22659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.76  % (22659)Termination reason: Unknown
% 2.58/0.76  % (22659)Termination phase: Saturation
% 2.58/0.76  
% 2.58/0.76  % (22659)Memory used [KB]: 7803
% 2.58/0.76  % (22659)Time elapsed: 0.357 s
% 2.58/0.76  % (22659)Instructions burned: 139 (million)
% 2.58/0.76  % (22659)------------------------------
% 2.58/0.76  % (22659)------------------------------
% 2.86/0.77  % (22665)Instruction limit reached!
% 2.86/0.77  % (22665)------------------------------
% 2.86/0.77  % (22665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.77  % (22665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.77  % (22665)Termination reason: Unknown
% 2.86/0.77  % (22665)Termination phase: Saturation
% 2.86/0.77  
% 2.86/0.77  % (22665)Memory used [KB]: 2814
% 2.86/0.77  % (22665)Time elapsed: 0.369 s
% 2.86/0.77  % (22665)Instructions burned: 177 (million)
% 2.86/0.77  % (22665)------------------------------
% 2.86/0.77  % (22665)------------------------------
% 2.86/0.78  % (22683)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.86/0.80  % (22680)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.86/0.81  % (22681)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.86/0.81  % (22682)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.86/0.82  % (22670)Instruction limit reached!
% 2.86/0.82  % (22670)------------------------------
% 2.86/0.82  % (22670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.82  % (22670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.82  % (22670)Termination reason: Unknown
% 2.86/0.82  % (22670)Termination phase: Saturation
% 2.86/0.82  
% 2.86/0.82  % (22670)Memory used [KB]: 7036
% 2.86/0.82  % (22670)Time elapsed: 0.199 s
% 2.86/0.82  % (22670)Instructions burned: 91 (million)
% 2.86/0.82  % (22670)------------------------------
% 2.86/0.82  % (22670)------------------------------
% 2.86/0.83  TRYING [3]
% 2.86/0.84  % (22684)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.86/0.84  % (22658)Instruction limit reached!
% 2.86/0.84  % (22658)------------------------------
% 2.86/0.84  % (22658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.84  % (22658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.84  % (22658)Termination reason: Unknown
% 2.86/0.84  % (22658)Termination phase: Saturation
% 2.86/0.84  
% 2.86/0.84  % (22658)Memory used [KB]: 7803
% 2.86/0.84  % (22658)Time elapsed: 0.407 s
% 2.86/0.84  % (22658)Instructions burned: 178 (million)
% 2.86/0.84  % (22658)------------------------------
% 2.86/0.84  % (22658)------------------------------
% 2.86/0.85  % (22685)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.86/0.85  % (22686)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.16/0.88  % (22687)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.16/0.88  % (22675)Instruction limit reached!
% 3.16/0.88  % (22675)------------------------------
% 3.16/0.88  % (22675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.88  % (22675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.88  % (22675)Termination reason: Unknown
% 3.16/0.88  % (22675)Termination phase: Saturation
% 3.16/0.88  
% 3.16/0.88  % (22675)Memory used [KB]: 7164
% 3.16/0.88  % (22675)Time elapsed: 0.037 s
% 3.16/0.88  % (22675)Instructions burned: 69 (million)
% 3.16/0.88  % (22675)------------------------------
% 3.16/0.88  % (22675)------------------------------
% 3.16/0.88  % (22689)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.28/0.90  % (22688)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.28/0.92  % (22678)Instruction limit reached!
% 3.28/0.92  % (22678)------------------------------
% 3.28/0.92  % (22678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.28/0.92  % (22678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.28/0.92  % (22678)Termination reason: Unknown
% 3.28/0.92  % (22678)Termination phase: Saturation
% 3.28/0.92  
% 3.28/0.92  % (22678)Memory used [KB]: 7419
% 3.28/0.92  % (22678)Time elapsed: 0.276 s
% 3.28/0.92  % (22678)Instructions burned: 90 (million)
% 3.28/0.92  % (22678)------------------------------
% 3.28/0.92  % (22678)------------------------------
% 3.47/0.95  % (22690)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.47/0.98  % (22691)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.47/0.98  % (22685)Instruction limit reached!
% 3.47/0.98  % (22685)------------------------------
% 3.47/0.98  % (22685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/0.98  % (22685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/0.98  % (22685)Termination reason: Unknown
% 3.47/0.98  % (22685)Termination phase: Saturation
% 3.47/0.98  
% 3.47/0.98  % (22685)Memory used [KB]: 7164
% 3.47/0.98  % (22685)Time elapsed: 0.036 s
% 3.47/0.98  % (22685)Instructions burned: 69 (million)
% 3.47/0.98  % (22685)------------------------------
% 3.47/0.98  % (22685)------------------------------
% 3.68/1.01  % (22692)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.68/1.01  % (22669)Instruction limit reached!
% 3.68/1.01  % (22669)------------------------------
% 3.68/1.01  % (22669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/1.01  % (22669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/1.01  % (22669)Termination reason: Unknown
% 3.68/1.01  % (22669)Termination phase: Saturation
% 3.68/1.01  
% 3.68/1.01  % (22669)Memory used [KB]: 2942
% 3.68/1.01  % (22669)Time elapsed: 0.421 s
% 3.68/1.01  % (22669)Instructions burned: 211 (million)
% 3.68/1.01  % (22669)------------------------------
% 3.68/1.01  % (22669)------------------------------
% 3.68/1.06  % (22693)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.68/1.07  % (22660)First to succeed.
% 5.69/1.10  % (22690)Instruction limit reached!
% 5.69/1.10  % (22690)------------------------------
% 5.69/1.10  % (22690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.69/1.10  % (22690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.69/1.10  % (22690)Termination reason: Unknown
% 5.69/1.10  % (22690)Termination phase: Saturation
% 5.69/1.10  
% 5.69/1.10  % (22690)Memory used [KB]: 6908
% 5.69/1.10  % (22690)Time elapsed: 0.269 s
% 5.69/1.10  % (22690)Instructions burned: 90 (million)
% 5.69/1.10  % (22690)------------------------------
% 5.69/1.10  % (22690)------------------------------
% 5.69/1.12  % (22694)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.69/1.12  % (22660)Refutation found. Thanks to Tanya!
% 5.69/1.12  % SZS status Unsatisfiable for theBenchmark
% 5.69/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 5.69/1.13  % (22660)------------------------------
% 5.69/1.13  % (22660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.69/1.13  % (22660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.69/1.13  % (22660)Termination reason: Refutation
% 5.69/1.13  
% 5.69/1.13  % (22660)Memory used [KB]: 2174
% 5.69/1.13  % (22660)Time elapsed: 0.650 s
% 5.69/1.13  % (22660)Instructions burned: 429 (million)
% 5.69/1.13  % (22660)------------------------------
% 5.69/1.13  % (22660)------------------------------
% 5.69/1.13  % (22637)Success in time 0.79 s
%------------------------------------------------------------------------------