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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : ITP013^7 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:06:21 AM UTC 2026

% Result   : Theorem 270.95s 70.10s
% Output   : Refutation 267.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   47 (  37 unt;   0 typ;   3 def)
%            Number of atoms       :   72 (  58 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  382 (  16   ~;   6   |;   1   &; 354   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   82 (   0   ^;  73   !;   6   ?;  82   :)
%                                         (   0  !>;   0  ?*;   0  @-;   3  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: $tType ).

thf(tyop_2Emin_2Eind_type,type,
    tyop_2Emin_2Eind: $tType ).

thf(tyop_2Enum_2Enum_type,type,
    tyop_2Enum_2Enum: $tType ).

thf(tyop_2Eone_2Eone_type,type,
    tyop_2Eone_2Eone: $tType ).

thf(tyop_2Estring_2Echar_type,type,
    tyop_2Estring_2Echar: $tType ).

thf(tyop_2EternaryComparisons_2Eordering_type,type,
    tyop_2EternaryComparisons_2Eordering: $tType ).

thf(tyop_2Ehrat_2Ehrat_type,type,
    tyop_2Ehrat_2Ehrat: $tType ).

thf(tyop_2Einteger_2Eint_type,type,
    tyop_2Einteger_2Eint: $tType ).

thf(tyop_2Equote_2Eindex_type,type,
    tyop_2Equote_2Eindex: $tType ).

thf(tyop_2Etoto_2Enum__dt_type,type,
    tyop_2Etoto_2Enum__dt: $tType ).

thf(skt1_type,type,
    skt1: $tType ).

thf(c_2Earithmetic_2E_2B_decl,type,
    c_2Earithmetic_2E_2B: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).

thf(c_2Earithmetic_2E_2D_decl,type,
    c_2Earithmetic_2E_2D: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).

thf(c_2Earithmetic_2E_3C_3D_decl,type,
    c_2Earithmetic_2E_3C_3D: tyop_2Enum_2Enum > tyop_2Enum_2Enum > $o ).

thf(c_2Ewords_2En2w_decl,type,
    c_2Ewords_2En2w: 
      !>[TA: $tType] : ( tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ TA ) ) ).

thf(c_2Ewords_2Eword__add_decl,type,
    c_2Ewords_2Eword__add: 
      !>[TA: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ TA ) > ( tyop_2Efcp_2Ecart @ $o @ TA ) > ( tyop_2Efcp_2Ecart @ $o @ TA ) ) ).

thf(c_2Ewords_2Eword__sub_decl,type,
    c_2Ewords_2Eword__sub: 
      !>[TA: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ TA ) > ( tyop_2Efcp_2Ecart @ $o @ TA ) > ( tyop_2Efcp_2Ecart @ $o @ TA ) ) ).

thf(sk1_decl,type,
    sk1: tyop_2Enum_2Enum ).

thf(sk2_decl,type,
    sk2: tyop_2Enum_2Enum ).

thf(sk34_decl,type,
    sk34: tyop_2Enum_2Enum ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: tyop_2Enum_2Enum] :
          ~ ! [B: tyop_2Enum_2Enum] :
              ( ( c_2Earithmetic_2E_3C_3D @ B @ A )
             => ( ( c_2Ewords_2En2w @ skt1 @ ( c_2Earithmetic_2E_2D @ A @ B ) )
                = ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ A ) @ ( c_2Ewords_2En2w @ skt1 @ B ) ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: tyop_2Enum_2Enum] :
          ~ ( ( c_2Earithmetic_2E_3C_3D @ A @ sk1 )
           => ( ( c_2Ewords_2En2w @ skt1 @ ( c_2Earithmetic_2E_2D @ sk1 @ A ) )
              = ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ sk1 ) @ ( c_2Ewords_2En2w @ skt1 @ A ) ) ) ) ) ) ).

thf(sk34_def,definition,
    ( sk34
    = ( @+[A: tyop_2Enum_2Enum] :
          ( sk1
          = ( c_2Earithmetic_2E_2B @ sk2 @ A ) ) ) ) ).

thf(95,axiom,
    ! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_3C_3D @ A @ B )
      = ( ? [C: tyop_2Enum_2Enum] :
            ( B
            = ( c_2Earithmetic_2E_2B @ A @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ELESS__EQ__EXISTS) ).

thf(449,plain,
    ! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_3C_3D @ A @ B )
      = ( ? [C: tyop_2Enum_2Enum] :
            ( B
            = ( c_2Earithmetic_2E_2B @ A @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(450,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_3C_3D @ A @ B )
      = ( ? [C: tyop_2Enum_2Enum] :
            ( B
            = ( c_2Earithmetic_2E_2B @ A @ C ) ) ) ),
    inference(cnf,[status(esa)],[449]) ).

thf(451,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_3C_3D @ A @ B )
      = ( ? [C: tyop_2Enum_2Enum] :
            ( B
            = ( c_2Earithmetic_2E_2B @ A @ C ) ) ) ),
    inference(lifteq,[status(thm)],[450]) ).

thf(1,conjecture,
    ! [TA: $tType,A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_3C_3D @ B @ A )
     => ( ( c_2Ewords_2En2w @ TA @ ( c_2Earithmetic_2E_2D @ A @ B ) )
        = ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).

thf(2,negated_conjecture,
    ~ ! [TA: $tType,A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
        ( ( c_2Earithmetic_2E_3C_3D @ B @ A )
       => ( ( c_2Ewords_2En2w @ TA @ ( c_2Earithmetic_2E_2D @ A @ B ) )
          = ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(157,plain,
    ~ ! [TA: $tType,A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
        ( ( c_2Earithmetic_2E_3C_3D @ B @ A )
       => ( ( c_2Ewords_2En2w @ TA @ ( c_2Earithmetic_2E_2D @ A @ B ) )
          = ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(158,plain,
    ( ( c_2Earithmetic_2E_3C_3D @ sk2 @ sk1 )
    & ( ( c_2Ewords_2En2w @ skt1 @ ( c_2Earithmetic_2E_2D @ sk1 @ sk2 ) )
     != ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ sk1 ) @ ( c_2Ewords_2En2w @ skt1 @ sk2 ) ) ) ),
    inference(cnf,[status(esa)],[157]) ).

thf(159,plain,
    c_2Earithmetic_2E_3C_3D @ sk2 @ sk1,
    inference(cnfConj,[status(thm)],[158]) ).

thf(34019,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ? [C: tyop_2Enum_2Enum] :
          ( B
          = ( c_2Earithmetic_2E_2B @ A @ C ) )
      | ( ( c_2Earithmetic_2E_3C_3D @ A @ B )
       != ( c_2Earithmetic_2E_3C_3D @ sk2 @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[451,159]) ).

thf(34020,plain,
    ? [A: tyop_2Enum_2Enum] :
      ( sk1
      = ( c_2Earithmetic_2E_2B @ sk2 @ A ) ),
    inference(pattern_uni,[status(thm)],[34019:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 ))]]) ).

thf(34233,plain,
    ( sk1
    = ( c_2Earithmetic_2E_2B @ sk2 @ sk34 ) ),
    inference(cnf,[status(esa)],[34020]) ).

thf(34234,plain,
    ( ( c_2Earithmetic_2E_2B @ sk2 @ sk34 )
    = sk1 ),
    inference(lifteq,[status(thm)],[34233]) ).

thf(75,axiom,
    ! [TA: $tType,A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Ewords_2Eword__add @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) )
      = ( c_2Ewords_2En2w @ TA @ ( c_2Earithmetic_2E_2B @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__add__n2w) ).

thf(385,plain,
    ! [TA: $tType,A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Ewords_2Eword__add @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) )
      = ( c_2Ewords_2En2w @ TA @ ( c_2Earithmetic_2E_2B @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(386,plain,
    ! [TA: $tType,B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Ewords_2Eword__add @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) )
      = ( c_2Ewords_2En2w @ TA @ ( c_2Earithmetic_2E_2B @ A @ B ) ) ),
    inference(cnf,[status(esa)],[385]) ).

thf(387,plain,
    ! [TA: $tType,B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Ewords_2Eword__add @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) )
      = ( c_2Ewords_2En2w @ TA @ ( c_2Earithmetic_2E_2B @ A @ B ) ) ),
    inference(lifteq,[status(thm)],[386]) ).

thf(34320,plain,
    ! [TA: $tType,B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( ( c_2Ewords_2En2w @ TA @ sk1 )
        = ( c_2Ewords_2Eword__add @ TA @ ( c_2Ewords_2En2w @ TA @ A ) @ ( c_2Ewords_2En2w @ TA @ B ) ) )
      | ( ( c_2Earithmetic_2E_2B @ sk2 @ sk34 )
       != ( c_2Earithmetic_2E_2B @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[34234,387]) ).

thf(34321,plain,
    ! [TA: $tType] :
      ( ( c_2Ewords_2En2w @ TA @ sk1 )
      = ( c_2Ewords_2Eword__add @ TA @ ( c_2Ewords_2En2w @ TA @ sk2 ) @ ( c_2Ewords_2En2w @ TA @ sk34 ) ) ),
    inference(pattern_uni,[status(thm)],[34320:[bind(A,$thf( sk2 )),bind(B,$thf( sk34 ))]]) ).

thf(116,axiom,
    ! [TA: $tType,A: tyop_2Efcp_2Ecart @ $o @ TA,B: tyop_2Efcp_2Ecart @ $o @ TA] :
      ( ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2Eword__add @ TA @ B @ A ) @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__ADD__SUB2) ).

thf(506,plain,
    ! [TA: $tType,A: tyop_2Efcp_2Ecart @ $o @ TA,B: tyop_2Efcp_2Ecart @ $o @ TA] :
      ( ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2Eword__add @ TA @ B @ A ) @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(507,plain,
    ! [TA: $tType,B: tyop_2Efcp_2Ecart @ $o @ TA,A: tyop_2Efcp_2Ecart @ $o @ TA] :
      ( ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2Eword__add @ TA @ B @ A ) @ B )
      = A ),
    inference(cnf,[status(esa)],[506]) ).

thf(508,plain,
    ! [TA: $tType,B: tyop_2Efcp_2Ecart @ $o @ TA,A: tyop_2Efcp_2Ecart @ $o @ TA] :
      ( ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2Eword__add @ TA @ B @ A ) @ B )
      = A ),
    inference(lifteq,[status(thm)],[507]) ).

thf(86259,plain,
    ! [TB: $tType,B: tyop_2Efcp_2Ecart @ $o @ TB,A: tyop_2Efcp_2Ecart @ $o @ TB] :
      ( ( ( c_2Ewords_2Eword__sub @ TB @ ( c_2Ewords_2En2w @ TB @ sk1 ) @ B )
        = A )
      | ( ( c_2Ewords_2Eword__add @ TB @ ( c_2Ewords_2En2w @ TB @ sk2 ) @ ( c_2Ewords_2En2w @ TB @ sk34 ) )
       != ( c_2Ewords_2Eword__add @ TB @ B @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[34321,508]) ).

thf(86260,plain,
    ! [TB: $tType] :
      ( ( c_2Ewords_2Eword__sub @ TB @ ( c_2Ewords_2En2w @ TB @ sk1 ) @ ( c_2Ewords_2En2w @ TB @ sk2 ) )
      = ( c_2Ewords_2En2w @ TB @ sk34 ) ),
    inference(pattern_uni,[status(thm)],[86259:[bind(A,$thf( c_2Ewords_2En2w @ TB @ sk34 )),bind(B,$thf( c_2Ewords_2En2w @ TB @ sk2 ))]]) ).

thf(86650,plain,
    ! [TA: $tType] :
      ( ( c_2Ewords_2Eword__sub @ TA @ ( c_2Ewords_2En2w @ TA @ sk1 ) @ ( c_2Ewords_2En2w @ TA @ sk2 ) )
      = ( c_2Ewords_2En2w @ TA @ sk34 ) ),
    inference(simp,[status(thm)],[86260]) ).

thf(160,plain,
    ( ( c_2Ewords_2En2w @ skt1 @ ( c_2Earithmetic_2E_2D @ sk1 @ sk2 ) )
   != ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ sk1 ) @ ( c_2Ewords_2En2w @ skt1 @ sk2 ) ) ),
    inference(cnfConj,[status(thm)],[158]) ).

thf(161,plain,
    ( ( c_2Ewords_2En2w @ skt1 @ ( c_2Earithmetic_2E_2D @ sk1 @ sk2 ) )
   != ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ sk1 ) @ ( c_2Ewords_2En2w @ skt1 @ sk2 ) ) ),
    inference(lifteq,[status(thm)],[160]) ).

thf(29,axiom,
    ! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2B @ A @ B )
      = ( c_2Earithmetic_2E_2B @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD__COMM) ).

thf(246,plain,
    ! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2B @ A @ B )
      = ( c_2Earithmetic_2E_2B @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(247,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2B @ A @ B )
      = ( c_2Earithmetic_2E_2B @ B @ A ) ),
    inference(cnf,[status(esa)],[246]) ).

thf(248,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2B @ A @ B )
      = ( c_2Earithmetic_2E_2B @ B @ A ) ),
    inference(lifteq,[status(thm)],[247]) ).

thf(34278,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( ( c_2Earithmetic_2E_2B @ B @ A )
        = sk1 )
      | ( ( c_2Earithmetic_2E_2B @ sk2 @ sk34 )
       != ( c_2Earithmetic_2E_2B @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[34234,248]) ).

thf(34279,plain,
    ( ( c_2Earithmetic_2E_2B @ sk34 @ sk2 )
    = sk1 ),
    inference(pattern_uni,[status(thm)],[34278:[bind(A,$thf( sk2 )),bind(B,$thf( sk34 ))]]) ).

thf(84,axiom,
    ! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2D @ ( c_2Earithmetic_2E_2B @ A @ B ) @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD__SUB) ).

thf(416,plain,
    ! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2D @ ( c_2Earithmetic_2E_2B @ A @ B ) @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(417,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2D @ ( c_2Earithmetic_2E_2B @ A @ B ) @ B )
      = A ),
    inference(cnf,[status(esa)],[416]) ).

thf(418,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( c_2Earithmetic_2E_2D @ ( c_2Earithmetic_2E_2B @ A @ B ) @ B )
      = A ),
    inference(lifteq,[status(thm)],[417]) ).

thf(34772,plain,
    ! [B: tyop_2Enum_2Enum,A: tyop_2Enum_2Enum] :
      ( ( ( c_2Earithmetic_2E_2D @ sk1 @ B )
        = A )
      | ( ( c_2Earithmetic_2E_2B @ sk34 @ sk2 )
       != ( c_2Earithmetic_2E_2B @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[34279,418]) ).

thf(34773,plain,
    ( ( c_2Earithmetic_2E_2D @ sk1 @ sk2 )
    = sk34 ),
    inference(pattern_uni,[status(thm)],[34772:[bind(A,$thf( sk34 )),bind(B,$thf( sk2 ))]]) ).

thf(35866,plain,
    ( ( c_2Ewords_2En2w @ skt1 @ sk34 )
   != ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ sk1 ) @ ( c_2Ewords_2En2w @ skt1 @ sk2 ) ) ),
    inference(rewrite,[status(thm)],[161,34773]) ).

thf(95145,plain,
    ( ( ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ sk1 ) @ ( c_2Ewords_2En2w @ skt1 @ sk2 ) )
     != ( c_2Ewords_2Eword__sub @ skt1 @ ( c_2Ewords_2En2w @ skt1 @ sk1 ) @ ( c_2Ewords_2En2w @ skt1 @ sk2 ) ) )
    | ( ( c_2Ewords_2En2w @ skt1 @ sk34 )
     != ( c_2Ewords_2En2w @ skt1 @ sk34 ) ) ),
    inference(paramod_ordered,[status(thm)],[86650,35866]) ).

thf(95146,plain,
    ( ( c_2Ewords_2En2w @ skt1 @ sk34 )
   != ( c_2Ewords_2En2w @ skt1 @ sk34 ) ),
    inference(simp,[status(thm)],[95145]) ).

thf(95147,plain,
    $false,
    inference(pattern_uni,[status(thm)],[95146:[]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP013^7 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.10/0.20  % Computer : n010.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Tue Sep 29 19:28:05 UTC 2026
% 0.10/0.21  % CPUTime  : 
% 0.10/0.21  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.65/0.50  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 7.82/2.50  % [INFO] 	 Parsing done (1993ms). 
% 7.82/2.52  % [INFO] 	 Running in sequential loop mode. 
% 8.27/2.89  % [INFO] 	 eprover registered as external prover. 
% 8.45/2.90  % [INFO] 	 Scanning for conjecture ... 
% 10.72/3.56  % [INFO] 	 Found a conjecture (or negated_conjecture) and 8404 axioms. Running axiom selection ... 
% 12.04/3.98  % [INFO] 	 Axiom selection finished. Selected 154 axioms (removed 8250 axioms). 
% 12.40/4.12  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 12.68/4.13  % [INFO] 	 Type checking passed. 
% 12.68/4.14  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 270.95/70.08  % [INFO] 	 Killing All external provers ... 
% 270.95/70.10  % Time passed: 69792ms (effective reasoning time: 67558ms)
% 270.95/70.10  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 270.95/70.10  % Axioms used in derivation (5): thm_2Earithmetic_2ELESS__EQ__EXISTS, thm_2Ewords_2EWORD__ADD__SUB2, thm_2Ewords_2Eword__add__n2w, thm_2Earithmetic_2EADD__COMM, thm_2Earithmetic_2EADD__SUB
% 270.95/70.10  % No. of inferences in proof: 44
% 270.95/70.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 69792 ms resp. 67558 ms w/o parsing
% 267.77/70.18  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 267.77/70.19  % [INFO] 	 Killing All external provers ... 
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