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

%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : LAT369+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n012.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 : Sun Sep 27 07:47:32 AM UTC 2026

% Result   : Theorem 100.35s 29.36s
% Output   : Refutation 90.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   63
%            Number of leaves      :  144
% Syntax   : Number of formulae    :  896 ( 248 unt;   0 typ;  18 def)
%            Number of atoms       : 4244 ( 356 equ;   0 cnn)
%            Maximal formula atoms :  190 (   4 avg)
%            Number of connectives : 15256 (1180   ~; 860   |;1691   &;11164   @)
%                                         (   3 <=>; 358  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   86 (  83 usr;  16 con; 0-3 aty)
%            Number of variables   : 2920 (   7   ^;2830   !;  65   ?;2920   :)
%                                         (   0  !>;   0  ?*;   0  @-;  18  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(v2_orders_2_decl,type,
    v2_orders_2: $i > $o ).

thf(v3_orders_2_decl,type,
    v3_orders_2: $i > $o ).

thf(v4_orders_2_decl,type,
    v4_orders_2: $i > $o ).

thf(v1_lattice3_decl,type,
    v1_lattice3: $i > $o ).

thf(v2_lattice3_decl,type,
    v2_lattice3: $i > $o ).

thf(v3_lattice3_decl,type,
    v3_lattice3: $i > $o ).

thf(l1_orders_2_decl,type,
    l1_orders_2: $i > $o ).

thf(v1_funct_1_decl,type,
    v1_funct_1: $i > $o ).

thf(v1_funct_2_decl,type,
    v1_funct_2: $i > $i > $i > $o ).

thf(u1_struct_0_decl,type,
    u1_struct_0: $i > $i ).

thf(v7_waybel_1_decl,type,
    v7_waybel_1: $i > $i > $o ).

thf(m2_relset_1_decl,type,
    m2_relset_1: $i > $i > $i > $o ).

thf(v4_waybel_0_decl,type,
    v4_waybel_0: $i > $i > $o ).

thf(k2_yellow_2_decl,type,
    k2_yellow_2: $i > $i > $i > $i ).

thf(v1_waybel34_decl,type,
    v1_waybel34: $i > $i > $i > $o ).

thf(k2_waybel_1_decl,type,
    k2_waybel_1: $i > $i > $i > $i ).

thf(v3_membered_decl,type,
    v3_membered: $i > $o ).

thf(v2_membered_decl,type,
    v2_membered: $i > $o ).

thf(r2_hidden_decl,type,
    r2_hidden: $i > $i > $o ).

thf(m1_subset_1_decl,type,
    m1_subset_1: $i > $i > $o ).

thf(k1_zfmisc_1_decl,type,
    k1_zfmisc_1: $i > $i ).

thf(v1_membered_decl,type,
    v1_membered: $i > $o ).

thf(r1_tarski_decl,type,
    r1_tarski: $i > $i > $o ).

thf(v1_xboole_0_decl,type,
    v1_xboole_0: $i > $o ).

thf(m1_relset_1_decl,type,
    m1_relset_1: $i > $i > $i > $o ).

thf(g1_orders_2_decl,type,
    g1_orders_2: $i > $i > $i ).

thf(v1_relat_1_decl,type,
    v1_relat_1: $i > $o ).

thf(k8_relat_1_decl,type,
    k8_relat_1: $i > $i > $i ).

thf(l1_struct_0_decl,type,
    l1_struct_0: $i > $o ).

thf(v1_finset_1_decl,type,
    v1_finset_1: $i > $o ).

thf(k2_zfmisc_1_decl,type,
    k2_zfmisc_1: $i > $i > $i ).

thf(k1_xboole_0_decl,type,
    k1_xboole_0: $i ).

thf(v3_struct_0_decl,type,
    v3_struct_0: $i > $o ).

thf(v1_orders_2_decl,type,
    v1_orders_2: $i > $o ).

thf(u1_orders_2_decl,type,
    u1_orders_2: $i > $i ).

thf(m1_yellow_0_decl,type,
    m1_yellow_0: $i > $i > $o ).

thf(v7_yellow_0_decl,type,
    v7_yellow_0: $i > $i > $o ).

thf(v18_waybel_0_decl,type,
    v18_waybel_0: $i > $i > $i > $o ).

thf(k2_waybel34_decl,type,
    k2_waybel34: $i > $i > $i > $i ).

thf(v1_partfun1_decl,type,
    v1_partfun1: $i > $i > $i > $o ).

thf(v17_waybel_0_decl,type,
    v17_waybel_0: $i > $i > $i > $o ).

thf(v19_waybel_0_decl,type,
    v19_waybel_0: $i > $i > $i > $o ).

thf(v21_waybel_0_decl,type,
    v21_waybel_0: $i > $i > $i > $o ).

thf(v4_waybel_1_decl,type,
    v4_waybel_1: $i > $i > $i > $o ).

thf(v5_orders_3_decl,type,
    v5_orders_3: $i > $i > $i > $o ).

thf(v6_waybel_1_decl,type,
    v6_waybel_1: $i > $i > $o ).

thf(v11_quantal1_decl,type,
    v11_quantal1: $i > $o ).

thf(k1_waybel34_decl,type,
    k1_waybel34: $i > $i > $i > $i ).

thf(v20_waybel_0_decl,type,
    v20_waybel_0: $i > $i > $i > $o ).

thf(v22_waybel_0_decl,type,
    v22_waybel_0: $i > $i > $i > $o ).

thf(v2_yellow_0_decl,type,
    v2_yellow_0: $i > $o ).

thf(v24_waybel_0_decl,type,
    v24_waybel_0: $i > $o ).

thf(v25_waybel_0_decl,type,
    v25_waybel_0: $i > $o ).

thf(v1_yellow_0_decl,type,
    v1_yellow_0: $i > $o ).

thf(v3_yellow_0_decl,type,
    v3_yellow_0: $i > $o ).

thf(v4_yellow_0_decl,type,
    v4_yellow_0: $i > $i > $o ).

thf(k7_grcat_1_decl,type,
    k7_grcat_1: $i > $i ).

thf(v23_waybel_0_decl,type,
    v23_waybel_0: $i > $i > $i > $o ).

thf(v2_funct_1_decl,type,
    v2_funct_1: $i > $o ).

thf(v8_waybel_1_decl,type,
    v8_waybel_1: $i > $i > $o ).

thf(v5_yellow_0_decl,type,
    v5_yellow_0: $i > $i > $o ).

thf(v3_waybel_0_decl,type,
    v3_waybel_0: $i > $i > $o ).

thf(v5_waybel_1_decl,type,
    v5_waybel_1: $i > $i > $i > $o ).

thf(k3_waybel_1_decl,type,
    k3_waybel_1: $i > $i > $i > $i ).

thf(v2_funct_2_decl,type,
    v2_funct_2: $i > $i > $i > $o ).

thf(sk1_decl,type,
    sk1: $i ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk3_decl,type,
    sk3: $i > $i > $i ).

thf(sk4_decl,type,
    sk4: $i ).

thf(sk5_decl,type,
    sk5: $i > $i ).

thf(sk6_decl,type,
    sk6: $i > $i ).

thf(sk7_decl,type,
    sk7: $i > $i ).

thf(sk8_decl,type,
    sk8: $i ).

thf(sk9_decl,type,
    sk9: $i ).

thf(sk10_decl,type,
    sk10: $i ).

thf(sk12_decl,type,
    sk12: $i ).

thf(sk14_decl,type,
    sk14: $i ).

thf(sk15_decl,type,
    sk15: $i > $i > $i ).

thf(sk19_decl,type,
    sk19: $i ).

thf(sk24_decl,type,
    sk24: $i ).

thf(sk25_decl,type,
    sk25: $i ).

thf(sk27_decl,type,
    sk27: $i ).

thf(sk30_decl,type,
    sk30: $i ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: $i] :
          ~ ( ( ( A @ l1_orders_2 )
              & ( A @ v3_lattice3 )
              & ( A @ v2_lattice3 )
              & ( A @ v1_lattice3 )
              & ( A @ v4_orders_2 )
              & ( A @ v3_orders_2 )
              & ( A @ v2_orders_2 ) )
           => ! [B: $i] :
                ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
                  & ( A @ ( B @ v7_waybel_1 ) )
                  & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
                  & ( B @ v1_funct_1 ) )
               => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
                 => ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) ) ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: $i] :
          ~ ( ( ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( A @ m2_relset_1 ) ) )
              & ( sk1 @ ( A @ v7_waybel_1 ) )
              & ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( A @ v1_funct_2 ) ) )
              & ( A @ v1_funct_1 ) )
           => ( ( sk1 @ ( A @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
             => ( A @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ ( sk1 @ ( A @ ( sk1 @ ( sk1 @ k2_waybel_1 ) ) @ v1_waybel34 ) ) ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( ^ [A: $i,B: $i] :
        @+[C: $i] : ( A @ ( B @ ( C @ m1_relset_1 ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( @+[A: $i] : ( A @ l1_struct_0 ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( ^ [A: $i] :
        @+[B: $i] :
          ( ( B @ v1_finset_1 )
          & ~ ( B @ v1_xboole_0 )
          & ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).

thf(sk6_def,definition,
    ( sk6
    = ( ^ [A: $i] :
        @+[B: $i] : ( A @ ( B @ m1_subset_1 ) ) ) ) ).

thf(sk7_def,definition,
    ( sk7
    = ( ^ [A: $i] :
        @+[B: $i] :
          ( ( B @ v1_finset_1 )
          & ~ ( B @ v1_xboole_0 )
          & ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).

thf(sk8_def,definition,
    ( sk8
    = ( @+[A: $i] :
          ( ~ ( A @ v3_struct_0 )
          & ( A @ l1_struct_0 ) ) ) ) ).

thf(sk9_def,definition,
    ( sk9
    = ( @+[A: $i] :
          ( ( A @ v1_finset_1 )
          & ~ ( A @ v1_xboole_0 ) ) ) ) ).

thf(sk10_def,definition,
    ( sk10
    = ( @+[A: $i] :
          ( ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ( A @ v1_orders_2 )
          & ~ ( A @ v3_struct_0 )
          & ( A @ l1_orders_2 ) ) ) ) ).

thf(sk12_def,definition,
    ( sk12
    = ( @+[A: $i] :
          ( ( A @ v3_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ( A @ v1_orders_2 )
          & ~ ( A @ v3_struct_0 )
          & ( A @ l1_orders_2 ) ) ) ) ).

thf(sk14_def,definition,
    ( sk14
    = ( @+[A: $i] : ( A @ l1_orders_2 ) ) ) ).

thf(sk15_def,definition,
    ( sk15
    = ( ^ [A: $i,B: $i] :
        @+[C: $i] : ( A @ ( B @ ( C @ m2_relset_1 ) ) ) ) ) ).

thf(sk19_def,definition,
    ( sk19
    = ( @+[A: $i] :
          ( ( A @ v25_waybel_0 )
          & ( A @ v24_waybel_0 )
          & ( A @ v3_yellow_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ( A @ v1_orders_2 )
          & ~ ( A @ v3_struct_0 )
          & ( A @ l1_orders_2 ) ) ) ) ).

thf(sk24_def,definition,
    ( sk24
    = ( @+[A: $i] :
          ( ( A @ v3_yellow_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 )
          & ( A @ l1_orders_2 ) ) ) ) ).

thf(sk25_def,definition,
    ( sk25
    = ( @+[A: $i] :
          ( ( A @ v1_funct_1 )
          & ( A @ v1_relat_1 ) ) ) ) ).

thf(sk27_def,definition,
    ( sk27
    = ( @+[A: $i] :
          ( ( A @ v1_funct_1 )
          & ( A @ v1_xboole_0 )
          & ( A @ v1_relat_1 ) ) ) ) ).

thf(sk30_def,definition,
    ( sk30
    = ( @+[A: $i] :
          ( ( A @ v2_funct_1 )
          & ( A @ v1_funct_1 )
          & ( A @ v1_relat_1 ) ) ) ) ).

thf(111,axiom,
    ? [A: $i] :
      ( ( A @ v1_funct_1 )
      & ( A @ v1_xboole_0 )
      & ( A @ v1_relat_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).

thf(755,plain,
    ? [A: $i] :
      ( ( A @ v1_funct_1 )
      & ( A @ v1_xboole_0 )
      & ( A @ v1_relat_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(756,plain,
    ( ( sk27 @ v1_funct_1 )
    & ( sk27 @ v1_xboole_0 )
    & ( sk27 @ v1_relat_1 ) ),
    inference(cnf,[status(esa)],[755]) ).

thf(758,plain,
    sk27 @ v1_xboole_0,
    inference(cnfConj,[status(thm)],[756]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ v1_xboole_0 )
     => ( A = k1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

thf(197,plain,
    ! [A: $i] :
      ( ( A @ v1_xboole_0 )
     => ( A = k1_xboole_0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(198,plain,
    ! [A: $i] :
      ( ( A = k1_xboole_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(cnf,[status(esa)],[197]) ).

thf(199,plain,
    ! [A: $i] :
      ( ~ ( A @ v1_xboole_0 )
      | ( A = k1_xboole_0 ) ),
    inference(lifteq,[status(thm)],[198]) ).

thf(1092,plain,
    ! [A: $i] :
      ( ( ( sk27 @ v1_xboole_0 )
       != ( A @ v1_xboole_0 ) )
      | ~ $true
      | ( A = k1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[758,199]) ).

thf(1093,plain,
    ! [A: $i] :
      ( ( ( sk27 @ v1_xboole_0 )
       != ( A @ v1_xboole_0 ) )
      | ( A = k1_xboole_0 ) ),
    inference(simp,[status(thm)],[1092]) ).

thf(1094,plain,
    sk27 = k1_xboole_0,
    inference(pattern_uni,[status(thm)],[1093:[bind(A,$thf( sk27 ))]]) ).

thf(1212,plain,
    k1_xboole_0 @ v1_xboole_0,
    inference(rewrite,[status(thm)],[758,1094]) ).

thf(1,conjecture,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
            & ( A @ ( B @ v7_waybel_1 ) )
            & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
            & ( B @ v1_funct_1 ) )
         => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
           => ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( A @ l1_orders_2 )
          & ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 ) )
       => ! [B: $i] :
            ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
              & ( A @ ( B @ v7_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
             => ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(128,plain,
    ~ ! [A: $i] :
        ( ( ( A @ l1_orders_2 )
          & ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 ) )
       => ! [B: $i] :
            ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
              & ( A @ ( B @ v7_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
             => ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(129,plain,
    ( ~ ( sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ ( sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_waybel_1 ) ) @ v1_waybel34 ) ) )
    & ( sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
    & ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ m2_relset_1 ) ) )
    & ( sk1 @ ( sk2 @ v7_waybel_1 ) )
    & ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ v1_funct_2 ) ) )
    & ( sk2 @ v1_funct_1 )
    & ( sk1 @ l1_orders_2 )
    & ( sk1 @ v3_lattice3 )
    & ( sk1 @ v2_lattice3 )
    & ( sk1 @ v1_lattice3 )
    & ( sk1 @ v4_orders_2 )
    & ( sk1 @ v3_orders_2 )
    & ( sk1 @ v2_orders_2 ) ),
    inference(cnf,[status(esa)],[128]) ).

thf(139,plain,
    sk1 @ v1_lattice3,
    inference(cnfConj,[status(thm)],[129]) ).

thf(47,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v1_lattice3 )
       => ~ ( A @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).

thf(339,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v1_lattice3 )
       => ~ ( A @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(340,plain,
    ! [A: $i] :
      ( ~ ( A @ v3_struct_0 )
      | ~ ( A @ v1_lattice3 )
      | ~ ( A @ l1_orders_2 ) ),
    inference(cnf,[status(esa)],[339]) ).

thf(894,plain,
    ! [A: $i] :
      ( ( ( sk1 @ v1_lattice3 )
       != ( A @ v1_lattice3 ) )
      | ~ ( A @ v3_struct_0 )
      | ~ $true
      | ~ ( A @ l1_orders_2 ) ),
    inference(paramod_ordered,[status(thm)],[139,340]) ).

thf(895,plain,
    ! [A: $i] :
      ( ( ( sk1 @ v1_lattice3 )
       != ( A @ v1_lattice3 ) )
      | ~ ( A @ v3_struct_0 )
      | ~ ( A @ l1_orders_2 ) ),
    inference(simp,[status(thm)],[894]) ).

thf(896,plain,
    ( ~ ( sk1 @ v3_struct_0 )
    | ~ ( sk1 @ l1_orders_2 ) ),
    inference(pattern_uni,[status(thm)],[895:[bind(A,$thf( sk1 ))]]) ).

thf(142,plain,
    sk1 @ l1_orders_2,
    inference(cnfConj,[status(thm)],[129]) ).

thf(900,plain,
    ( ~ ( sk1 @ v3_struct_0 )
    | ~ $true ),
    inference(rewrite,[status(thm)],[896,142]) ).

thf(901,plain,
    ~ ( sk1 @ v3_struct_0 ),
    inference(simp,[status(thm)],[900]) ).

thf(1060,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,901]) ).

thf(1061,plain,
    ( ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1060:[bind(A,$thf( sk1 ))]]) ).

thf(1320,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1061]) ).

thf(1321,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1320]) ).

thf(1322,plain,
    ( ( sk1 != k1_xboole_0 )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1321]) ).

thf(50,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_struct_0 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ~ ( B @ v1_xboole_0 )
          & ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).

thf(347,plain,
    ! [A: $i] :
      ( ( ( A @ l1_struct_0 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ~ ( B @ v1_xboole_0 )
          & ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(103,axiom,
    ? [A: $i] :
      ( ( A @ v1_funct_1 )
      & ( A @ v1_relat_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).

thf(704,plain,
    ? [A: $i] :
      ( ( A @ v1_funct_1 )
      & ( A @ v1_relat_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(705,plain,
    ( ( sk25 @ v1_funct_1 )
    & ( sk25 @ v1_relat_1 ) ),
    inference(cnf,[status(esa)],[704]) ).

thf(706,plain,
    sk25 @ v1_relat_1,
    inference(cnfConj,[status(thm)],[705]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ v1_relat_1 )
     => ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

thf(174,plain,
    ! [A: $i,B: $i] :
      ( ( B @ v1_relat_1 )
     => ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(175,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
      | ~ ( B @ v1_relat_1 ) ),
    inference(cnf,[status(esa)],[174]) ).

thf(2641,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk25 @ v1_relat_1 )
       != ( B @ v1_relat_1 ) )
      | ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[706,175]) ).

thf(2642,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk25 @ v1_relat_1 )
       != ( B @ v1_relat_1 ) )
      | ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2641]) ).

thf(2643,plain,
    ! [A: $i] : ( sk25 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2642:[bind(A,$thf( A )),bind(B,$thf( sk25 ))]]) ).

thf(2692,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( C @ v1_relat_1 ) )
      | ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2643,175]) ).

thf(2693,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( C @ v1_relat_1 ) )
      | ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2692]) ).

thf(2694,plain,
    ! [B: $i,A: $i] : ( sk25 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2693:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( sk25 @ ( D @ k8_relat_1 ) ))]]) ).

thf(2697,plain,
    ! [B: $i,A: $i] : ( sk25 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2694]) ).

thf(2811,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2697,175]) ).

thf(2812,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2811]) ).

thf(2813,plain,
    ! [C: $i,B: $i,A: $i] : ( sk25 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2812:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( sk25 @ ( G @ k8_relat_1 ) @ ( E @ k8_relat_1 ) ))]]) ).

thf(2822,plain,
    ! [C: $i,B: $i,A: $i] : ( sk25 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2813]) ).

thf(2996,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2822,175]) ).

thf(2997,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2996]) ).

thf(2998,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2997:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( J )),bind(D,$thf( D )),bind(E,$thf( sk25 @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( F @ k8_relat_1 ) ))]]) ).

thf(3009,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2998]) ).

thf(3418,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3009,175]) ).

thf(3419,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3418]) ).

thf(3420,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3419:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( M )),bind(E,$thf( E )),bind(F,$thf( sk25 @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).

thf(3434,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3420]) ).

thf(34,axiom,
    ? [A: $i] :
      ( ( A @ v3_lattice3 )
      & ( A @ v2_lattice3 )
      & ( A @ v1_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ( A @ v1_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_lattice3) ).

thf(245,plain,
    ? [A: $i] :
      ( ( A @ v3_lattice3 )
      & ( A @ v2_lattice3 )
      & ( A @ v1_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ( A @ v1_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(246,plain,
    ( ( sk10 @ v3_lattice3 )
    & ( sk10 @ v2_lattice3 )
    & ( sk10 @ v1_lattice3 )
    & ( sk10 @ v4_orders_2 )
    & ( sk10 @ v3_orders_2 )
    & ( sk10 @ v2_orders_2 )
    & ( sk10 @ v1_orders_2 )
    & ~ ( sk10 @ v3_struct_0 )
    & ( sk10 @ l1_orders_2 ) ),
    inference(cnf,[status(esa)],[245]) ).

thf(248,plain,
    sk10 @ v1_lattice3,
    inference(cnfConj,[status(thm)],[246]) ).

thf(51,axiom,
    ? [A: $i] : ( A @ l1_orders_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_orders_2) ).

thf(351,plain,
    ? [A: $i] : ( A @ l1_orders_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(352,plain,
    sk14 @ l1_orders_2,
    inference(cnf,[status(esa)],[351]) ).

thf(907,plain,
    ! [A: $i] :
      ( ( ( sk14 @ l1_orders_2 )
       != ( A @ l1_orders_2 ) )
      | ~ ( A @ v3_struct_0 )
      | ~ ( A @ v1_lattice3 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[352,340]) ).

thf(908,plain,
    ! [A: $i] :
      ( ( ( sk14 @ l1_orders_2 )
       != ( A @ l1_orders_2 ) )
      | ~ ( A @ v3_struct_0 )
      | ~ ( A @ v1_lattice3 ) ),
    inference(simp,[status(thm)],[907]) ).

thf(909,plain,
    ( ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk14 @ v1_lattice3 ) ),
    inference(pattern_uni,[status(thm)],[908:[bind(A,$thf( sk14 ))]]) ).

thf(915,plain,
    ( ( ( sk14 @ v1_lattice3 )
     != ( sk10 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[248,909]) ).

thf(916,plain,
    ( ( ( sk14 @ v1_lattice3 )
     != ( sk10 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[915]) ).

thf(919,plain,
    ( ( sk14 != sk10 )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[916]) ).

thf(1082,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ( sk10 != k1_xboole_0 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,919]) ).

thf(1083,plain,
    ( ( sk10 != k1_xboole_0 )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1082:[bind(A,$thf( sk14 ))]]) ).

thf(3582,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3434,175]) ).

thf(3583,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3582]) ).

thf(3584,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3583:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( P )),bind(F,$thf( F )),bind(G,$thf( sk25 @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).

thf(3585,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3584]) ).

thf(3994,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3585,175]) ).

thf(3995,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3994]) ).

thf(3996,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3995:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( S )),bind(G,$thf( G )),bind(H,$thf( sk25 @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).

thf(4016,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3996]) ).

thf(4369,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4016,175]) ).

thf(4370,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4369]) ).

thf(4371,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4370:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( V )),bind(H,$thf( H )),bind(I,$thf( sk25 @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).

thf(4381,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4371]) ).

thf(4693,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4381,175]) ).

thf(4694,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4693]) ).

thf(4695,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4694:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( Y )),bind(I,$thf( I )),bind(J,$thf( sk25 @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).

thf(4707,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4695]) ).

thf(4965,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4707,175]) ).

thf(4966,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4965]) ).

thf(4967,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4966:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZB )),bind(J,$thf( J )),bind(K,$thf( sk25 @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).

thf(4987,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4967]) ).

thf(5358,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4987,175]) ).

thf(5359,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5358]) ).

thf(5360,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5359:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZE )),bind(K,$thf( K )),bind(L,$thf( sk25 @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).

thf(5386,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5360]) ).

thf(7298,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5386,175]) ).

thf(7299,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[7298]) ).

thf(7300,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[7299:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZH )),bind(L,$thf( L )),bind(M,$thf( sk25 @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).

thf(7304,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[7300]) ).

thf(55,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel_1) ).

thf(365,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(25,axiom,
    ? [A: $i] :
      ( ~ ( A @ v3_struct_0 )
      & ( A @ l1_struct_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).

thf(209,plain,
    ? [A: $i] :
      ( ~ ( A @ v3_struct_0 )
      & ( A @ l1_struct_0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(210,plain,
    ( ~ ( sk8 @ v3_struct_0 )
    & ( sk8 @ l1_struct_0 ) ),
    inference(cnf,[status(esa)],[209]) ).

thf(212,plain,
    ~ ( sk8 @ v3_struct_0 ),
    inference(cnfConj,[status(thm)],[210]) ).

thf(1062,plain,
    ! [A: $i] :
      ( ( A != sk8 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,212]) ).

thf(1063,plain,
    ( ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk8 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1062:[bind(A,$thf( sk8 ))]]) ).

thf(1367,plain,
    ( ( ( sk8 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1063]) ).

thf(1368,plain,
    ( ( ( sk8 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1367]) ).

thf(1369,plain,
    ( ( sk8 != k1_xboole_0 )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1368]) ).

thf(138,plain,
    sk2 @ v1_funct_1,
    inference(cnfConj,[status(thm)],[129]) ).

thf(112,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( ( A @ ( B @ v5_yellow_0 ) )
              & ( A @ ( B @ v4_yellow_0 ) )
              & ~ ( B @ v3_struct_0 ) )
           => ( ( A @ ( B @ v5_yellow_0 ) )
              & ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v2_lattice3 )
              & ( B @ v4_orders_2 )
              & ( B @ v3_orders_2 )
              & ~ ( B @ v3_struct_0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_yellow_0) ).

thf(760,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( ( A @ ( B @ v5_yellow_0 ) )
              & ( A @ ( B @ v4_yellow_0 ) )
              & ~ ( B @ v3_struct_0 ) )
           => ( ( A @ ( B @ v5_yellow_0 ) )
              & ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v2_lattice3 )
              & ( B @ v4_orders_2 )
              & ( B @ v3_orders_2 )
              & ~ ( B @ v3_struct_0 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(7,axiom,
    ! [A: $i,B: $i] : ( A @ ( A @ r1_tarski ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(154,plain,
    ! [A: $i] : ( A @ ( A @ r1_tarski ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(155,plain,
    ! [A: $i] : ( A @ ( A @ r1_tarski ) ),
    inference(cnf,[status(esa)],[154]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
    <=> ( B @ ( A @ r1_tarski ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

thf(178,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ r1_tarski ) )
       => ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) )
      & ( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
       => ( B @ ( A @ r1_tarski ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(179,plain,
    ( ! [A: $i,B: $i] :
        ( ( B @ ( A @ r1_tarski ) )
       => ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) )
    & ! [A: $i,B: $i] :
        ( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
       => ( B @ ( A @ r1_tarski ) ) ) ),
    inference(miniscope,[status(thm)],[178]) ).

thf(180,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( D @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
        | ~ ( D @ ( C @ r1_tarski ) ) )
      & ( ( B @ ( A @ r1_tarski ) )
        | ~ ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) ) ),
    inference(cnf,[status(esa)],[179]) ).

thf(182,plain,
    ! [B: $i,A: $i] :
      ( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
      | ~ ( B @ ( A @ r1_tarski ) ) ),
    inference(cnfConj,[status(thm)],[180]) ).

thf(183,plain,
    ! [B: $i,A: $i] :
      ( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
      | ~ ( B @ ( A @ r1_tarski ) ) ),
    inference(simp,[status(thm)],[182]) ).

thf(3067,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ r1_tarski ) )
       != ( C @ ( B @ r1_tarski ) ) )
      | ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[155,183]) ).

thf(3068,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ r1_tarski ) )
       != ( C @ ( B @ r1_tarski ) ) )
      | ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
    inference(simp,[status(thm)],[3067]) ).

thf(3069,plain,
    ! [A: $i] : ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ),
    inference(pattern_uni,[status(thm)],[3068:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
     => ( C @ v1_relat_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).

thf(205,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
     => ( C @ v1_relat_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(206,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ v1_relat_1 )
      | ~ ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
    inference(cnf,[status(esa)],[205]) ).

thf(5519,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3069,206]) ).

thf(5520,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5519]) ).

thf(5521,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5520:[bind(A,$thf( F @ ( E @ k2_zfmisc_1 ) )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( F @ ( E @ k2_zfmisc_1 ) ))]]) ).

thf(5546,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5521]) ).

thf(5559,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5546,175]) ).

thf(5560,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5559]) ).

thf(5561,plain,
    ! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5560:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( C )),bind(D,$thf( F @ ( E @ k2_zfmisc_1 ) ))]]) ).

thf(5565,plain,
    ! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5561]) ).

thf(5609,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5565,175]) ).

thf(5610,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5609]) ).

thf(5611,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5610:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( I )),bind(D,$thf( D )),bind(E,$thf( I @ ( H @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) ))]]) ).

thf(5617,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5611]) ).

thf(5681,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5617,175]) ).

thf(5682,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5681]) ).

thf(5683,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5682:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( L )),bind(E,$thf( E )),bind(F,$thf( L @ ( K @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).

thf(5687,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5683]) ).

thf(5854,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5687,175]) ).

thf(5855,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5854]) ).

thf(5856,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5855:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( O )),bind(F,$thf( F )),bind(G,$thf( O @ ( N @ k2_zfmisc_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).

thf(5857,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5856]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ~ ( A @ v1_xboole_0 )
     => ? [B: $i] :
          ( ( B @ v1_finset_1 )
          & ~ ( B @ v1_xboole_0 )
          & ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).

thf(190,plain,
    ! [A: $i] :
      ( ~ ( A @ v1_xboole_0 )
     => ? [B: $i] :
          ( ( B @ v1_finset_1 )
          & ~ ( B @ v1_xboole_0 )
          & ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(191,plain,
    ! [A: $i] :
      ( ( ( A @ sk5 @ v1_finset_1 )
        | ( A @ v1_xboole_0 ) )
      & ( ~ ( A @ sk5 @ v1_xboole_0 )
        | ( A @ v1_xboole_0 ) )
      & ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
        | ( A @ v1_xboole_0 ) ) ),
    inference(cnf,[status(esa)],[190]) ).

thf(192,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
      | ( A @ v1_xboole_0 ) ),
    inference(cnfConj,[status(thm)],[191]) ).

thf(181,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ r1_tarski ) )
      | ~ ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) ),
    inference(cnfConj,[status(thm)],[180]) ).

thf(2866,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[192,181]) ).

thf(2867,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2866]) ).

thf(2868,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk5 @ r1_tarski ) )
      | ( A @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[2867:[bind(A,$thf( D )),bind(B,$thf( D @ sk5 )),bind(C,$thf( D ))]]) ).

thf(2876,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk5 @ r1_tarski ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2868]) ).

thf(123,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v1_yellow_0 )
        & ( B @ v4_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
          & ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ~ ( C @ v1_xboole_0 )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_yellow_9) ).

thf(846,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v1_yellow_0 )
        & ( B @ v4_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
          & ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ~ ( C @ v1_xboole_0 )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(88,axiom,
    ! [A: $i] :
      ( ( A @ l1_struct_0 )
     => ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ m2_relset_1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ( A @ k7_grcat_1 @ v1_funct_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_grcat_1) ).

thf(628,plain,
    ! [A: $i] :
      ( ( A @ l1_struct_0 )
     => ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ m2_relset_1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ( A @ k7_grcat_1 @ v1_funct_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(917,plain,
    ( ( ( sk14 @ v1_lattice3 )
     != ( sk1 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[139,909]) ).

thf(918,plain,
    ( ( ( sk14 @ v1_lattice3 )
     != ( sk1 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[917]) ).

thf(920,plain,
    ( ( sk14 != sk1 )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[918]) ).

thf(1030,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ( sk1 != k1_xboole_0 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,920]) ).

thf(1031,plain,
    ( ( sk1 != k1_xboole_0 )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1030:[bind(A,$thf( sk14 ))]]) ).

thf(249,plain,
    sk10 @ v2_orders_2,
    inference(cnfConj,[status(thm)],[246]) ).

thf(95,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel_8) ).

thf(666,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(757,plain,
    sk27 @ v1_relat_1,
    inference(cnfConj,[status(thm)],[756]) ).

thf(1210,plain,
    k1_xboole_0 @ v1_relat_1,
    inference(rewrite,[status(thm)],[757,1094]) ).

thf(2638,plain,
    ! [B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ v1_relat_1 )
       != ( B @ v1_relat_1 ) )
      | ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1210,175]) ).

thf(2639,plain,
    ! [B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ v1_relat_1 )
       != ( B @ v1_relat_1 ) )
      | ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2638]) ).

thf(2640,plain,
    ! [A: $i] : ( k1_xboole_0 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2639:[bind(A,$thf( A )),bind(B,$thf( k1_xboole_0 ))]]) ).

thf(2670,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( C @ v1_relat_1 ) )
      | ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2640,175]) ).

thf(2671,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( C @ v1_relat_1 ) )
      | ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2670]) ).

thf(2672,plain,
    ! [B: $i,A: $i] : ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2671:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( k1_xboole_0 @ ( D @ k8_relat_1 ) ))]]) ).

thf(2673,plain,
    ! [B: $i,A: $i] : ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2672]) ).

thf(2744,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2673,175]) ).

thf(2745,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2744]) ).

thf(2746,plain,
    ! [C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2745:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( E @ k8_relat_1 ) ))]]) ).

thf(2753,plain,
    ! [C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2746]) ).

thf(2956,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2753,175]) ).

thf(2957,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2956]) ).

thf(2958,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2957:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( J )),bind(D,$thf( D )),bind(E,$thf( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( F @ k8_relat_1 ) ))]]) ).

thf(2964,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2958]) ).

thf(3179,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2964,175]) ).

thf(3180,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3179]) ).

thf(3181,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3180:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( M )),bind(E,$thf( E )),bind(F,$thf( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).

thf(3188,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3181]) ).

thf(3524,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3188,175]) ).

thf(3525,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3524]) ).

thf(3526,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3525:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( P )),bind(F,$thf( F )),bind(G,$thf( k1_xboole_0 @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).

thf(3531,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3526]) ).

thf(3927,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3531,175]) ).

thf(3928,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3927]) ).

thf(3929,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3928:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( S )),bind(G,$thf( G )),bind(H,$thf( k1_xboole_0 @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).

thf(3948,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3929]) ).

thf(4293,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3948,175]) ).

thf(4294,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4293]) ).

thf(4295,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4294:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( V )),bind(H,$thf( H )),bind(I,$thf( k1_xboole_0 @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).

thf(4298,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4295]) ).

thf(4529,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4298,175]) ).

thf(4530,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4529]) ).

thf(4531,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4530:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( Y )),bind(I,$thf( I )),bind(J,$thf( k1_xboole_0 @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).

thf(4556,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4531]) ).

thf(4871,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4556,175]) ).

thf(4872,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4871]) ).

thf(4873,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4872:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZB )),bind(J,$thf( J )),bind(K,$thf( k1_xboole_0 @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).

thf(4877,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4873]) ).

thf(62,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v22_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v21_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v20_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v19_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v18_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v17_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ k7_grcat_1 @ v11_quantal1 )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel10) ).

thf(408,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v22_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v21_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v20_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v19_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v18_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v17_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ k7_grcat_1 @ v11_quantal1 )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(80,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ? [B: $i] :
          ( ( A @ ( B @ v4_yellow_0 ) )
          & ( B @ v1_orders_2 )
          & ( A @ ( B @ m1_yellow_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_yellow_0) ).

thf(582,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ? [B: $i] :
          ( ( A @ ( B @ v4_yellow_0 ) )
          & ( B @ v1_orders_2 )
          & ( A @ ( B @ m1_yellow_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(98,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( B @ l1_orders_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).

thf(683,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( B @ l1_orders_2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(20,axiom,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

thf(195,plain,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(196,plain,
    ! [A: $i] : ( A @ ( A @ sk6 @ m1_subset_1 ) ),
    inference(cnf,[status(esa)],[195]) ).

thf(5516,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[196,206]) ).

thf(5517,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5516]) ).

thf(5518,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5517:[bind(A,$thf( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 ))]]) ).

thf(5545,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 ),
    inference(simp,[status(thm)],[5518]) ).

thf(5584,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5545,175]) ).

thf(5585,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5584]) ).

thf(5586,plain,
    ! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5585:[bind(A,$thf( G )),bind(B,$thf( H )),bind(C,$thf( C )),bind(D,$thf( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 ))]]) ).

thf(5588,plain,
    ! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5586]) ).

thf(5643,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5588,175]) ).

thf(5644,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5643]) ).

thf(5645,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5644:[bind(A,$thf( F )),bind(B,$thf( J )),bind(C,$thf( K )),bind(D,$thf( D )),bind(E,$thf( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) ))]]) ).

thf(5652,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5645]) ).

thf(5811,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5652,175]) ).

thf(5812,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5811]) ).

thf(5813,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5812:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( M )),bind(D,$thf( N )),bind(E,$thf( E )),bind(F,$thf( N @ ( M @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).

thf(5824,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5813]) ).

thf(5906,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5824,175]) ).

thf(5907,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5906]) ).

thf(5908,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5907:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( P )),bind(E,$thf( Q )),bind(F,$thf( F )),bind(G,$thf( Q @ ( P @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).

thf(5921,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5908]) ).

thf(6084,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5921,175]) ).

thf(6085,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6084]) ).

thf(6086,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6085:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( S )),bind(F,$thf( T )),bind(G,$thf( G )),bind(H,$thf( T @ ( S @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).

thf(6092,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6086]) ).

thf(6215,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6092,175]) ).

thf(6216,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6215]) ).

thf(6217,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6216:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( V )),bind(G,$thf( W )),bind(H,$thf( H )),bind(I,$thf( W @ ( V @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).

thf(6222,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6217]) ).

thf(6440,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6222,175]) ).

thf(6441,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6440]) ).

thf(6442,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6441:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( Y )),bind(H,$thf( Z )),bind(I,$thf( I )),bind(J,$thf( Z @ ( Y @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).

thf(6463,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6442]) ).

thf(124,axiom,
    ? [A: $i] :
      ( ( A @ v2_funct_1 )
      & ( A @ v1_funct_1 )
      & ( A @ v1_relat_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).

thf(857,plain,
    ? [A: $i] :
      ( ( A @ v2_funct_1 )
      & ( A @ v1_funct_1 )
      & ( A @ v1_relat_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(858,plain,
    ( ( sk30 @ v2_funct_1 )
    & ( sk30 @ v1_funct_1 )
    & ( sk30 @ v1_relat_1 ) ),
    inference(cnf,[status(esa)],[857]) ).

thf(859,plain,
    sk30 @ v1_relat_1,
    inference(cnfConj,[status(thm)],[858]) ).

thf(2646,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk30 @ v1_relat_1 )
       != ( B @ v1_relat_1 ) )
      | ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[859,175]) ).

thf(2647,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk30 @ v1_relat_1 )
       != ( B @ v1_relat_1 ) )
      | ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2646]) ).

thf(2648,plain,
    ! [A: $i] : ( sk30 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2647:[bind(A,$thf( A )),bind(B,$thf( sk30 ))]]) ).

thf(2714,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( C @ v1_relat_1 ) )
      | ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2648,175]) ).

thf(2715,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( C @ v1_relat_1 ) )
      | ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2714]) ).

thf(2716,plain,
    ! [B: $i,A: $i] : ( sk30 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2715:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( sk30 @ ( D @ k8_relat_1 ) ))]]) ).

thf(2722,plain,
    ! [B: $i,A: $i] : ( sk30 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2716]) ).

thf(2917,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2722,175]) ).

thf(2918,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[2917]) ).

thf(2919,plain,
    ! [C: $i,B: $i,A: $i] : ( sk30 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[2918:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( sk30 @ ( G @ k8_relat_1 ) @ ( E @ k8_relat_1 ) ))]]) ).

thf(2925,plain,
    ! [C: $i,B: $i,A: $i] : ( sk30 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[2919]) ).

thf(3131,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[2925,175]) ).

thf(3132,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( E @ v1_relat_1 ) )
      | ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3131]) ).

thf(3133,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3132:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( J )),bind(D,$thf( D )),bind(E,$thf( sk30 @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( F @ k8_relat_1 ) ))]]) ).

thf(3146,plain,
    ! [D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3133]) ).

thf(3467,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3146,175]) ).

thf(3468,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( F @ v1_relat_1 ) )
      | ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3467]) ).

thf(3469,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3468:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( M )),bind(E,$thf( E )),bind(F,$thf( sk30 @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).

thf(3476,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3469]) ).

thf(3861,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3476,175]) ).

thf(3862,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( G @ v1_relat_1 ) )
      | ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[3861]) ).

thf(3863,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[3862:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( P )),bind(F,$thf( F )),bind(G,$thf( sk30 @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).

thf(3878,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[3863]) ).

thf(4061,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3878,175]) ).

thf(4062,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4061]) ).

thf(4063,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4062:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( S )),bind(G,$thf( G )),bind(H,$thf( sk30 @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).

thf(4085,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4063]) ).

thf(4445,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4085,175]) ).

thf(4446,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4445]) ).

thf(4447,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4446:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( V )),bind(H,$thf( H )),bind(I,$thf( sk30 @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).

thf(4463,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4447]) ).

thf(4778,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4463,175]) ).

thf(4779,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[4778]) ).

thf(4780,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[4779:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( Y )),bind(I,$thf( I )),bind(J,$thf( sk30 @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).

thf(4802,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[4780]) ).

thf(5153,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4802,175]) ).

thf(5154,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5153]) ).

thf(5155,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5154:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZB )),bind(J,$thf( J )),bind(K,$thf( sk30 @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).

thf(5173,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5155]) ).

thf(247,plain,
    ~ ( sk10 @ v3_struct_0 ),
    inference(cnfConj,[status(thm)],[246]) ).

thf(86,axiom,
    ? [A: $i] :
      ( ( A @ v3_yellow_0 )
      & ( A @ v2_yellow_0 )
      & ( A @ v1_yellow_0 )
      & ( A @ v3_lattice3 )
      & ( A @ v2_lattice3 )
      & ( A @ v1_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_yellow_0) ).

thf(612,plain,
    ? [A: $i] :
      ( ( A @ v3_yellow_0 )
      & ( A @ v2_yellow_0 )
      & ( A @ v1_yellow_0 )
      & ( A @ v3_lattice3 )
      & ( A @ v2_lattice3 )
      & ( A @ v1_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(613,plain,
    ( ( sk24 @ v3_yellow_0 )
    & ( sk24 @ v2_yellow_0 )
    & ( sk24 @ v1_yellow_0 )
    & ( sk24 @ v3_lattice3 )
    & ( sk24 @ v2_lattice3 )
    & ( sk24 @ v1_lattice3 )
    & ( sk24 @ v4_orders_2 )
    & ( sk24 @ v3_orders_2 )
    & ( sk24 @ v2_orders_2 )
    & ~ ( sk24 @ v3_struct_0 )
    & ( sk24 @ l1_orders_2 ) ),
    inference(cnf,[status(esa)],[612]) ).

thf(614,plain,
    sk24 @ v1_lattice3,
    inference(cnfConj,[status(thm)],[613]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ~ ( A @ v1_xboole_0 )
     => ? [B: $i] :
          ( ( B @ v1_finset_1 )
          & ~ ( B @ v1_xboole_0 )
          & ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).

thf(200,plain,
    ! [A: $i] :
      ( ~ ( A @ v1_xboole_0 )
     => ? [B: $i] :
          ( ( B @ v1_finset_1 )
          & ~ ( B @ v1_xboole_0 )
          & ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(201,plain,
    ! [A: $i] :
      ( ( ( A @ sk7 @ v1_finset_1 )
        | ( A @ v1_xboole_0 ) )
      & ( ~ ( A @ sk7 @ v1_xboole_0 )
        | ( A @ v1_xboole_0 ) )
      & ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
        | ( A @ v1_xboole_0 ) ) ),
    inference(cnf,[status(esa)],[200]) ).

thf(202,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
      | ( A @ v1_xboole_0 ) ),
    inference(cnfConj,[status(thm)],[201]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( A @ v1_xboole_0 )
     => ( A @ v1_finset_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).

thf(225,plain,
    ! [A: $i] :
      ( ( A @ v1_xboole_0 )
     => ( A @ v1_finset_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(226,plain,
    ! [A: $i] :
      ( ( A @ v1_finset_1 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(cnf,[status(esa)],[225]) ).

thf(6789,plain,
    ! [A: $i] :
      ( ( ( k1_xboole_0 @ v1_xboole_0 )
       != ( A @ v1_xboole_0 ) )
      | ( A @ v1_finset_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,226]) ).

thf(6790,plain,
    ! [A: $i] :
      ( ( ( k1_xboole_0 @ v1_xboole_0 )
       != ( A @ v1_xboole_0 ) )
      | ( A @ v1_finset_1 ) ),
    inference(simp,[status(thm)],[6789]) ).

thf(6791,plain,
    k1_xboole_0 @ v1_finset_1,
    inference(pattern_uni,[status(thm)],[6790:[bind(A,$thf( k1_xboole_0 ))]]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ v1_xboole_0 )
        & ( B @ ( A @ r2_hidden ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

thf(222,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ v1_xboole_0 )
        & ( B @ ( A @ r2_hidden ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(223,plain,
    ~ ? [A: $i,B: $i] :
        ( ( B @ v1_xboole_0 )
        & ( B @ ( A @ r2_hidden ) ) ),
    inference(miniscope,[status(thm)],[222]) ).

thf(224,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ v1_xboole_0 )
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(cnf,[status(esa)],[223]) ).

thf(946,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk27 @ v1_xboole_0 )
       != ( B @ v1_xboole_0 ) )
      | ~ $true
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(paramod_ordered,[status(thm)],[758,224]) ).

thf(947,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk27 @ v1_xboole_0 )
       != ( B @ v1_xboole_0 ) )
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(simp,[status(thm)],[946]) ).

thf(948,plain,
    ! [A: $i] :
      ~ ( sk27 @ ( A @ r2_hidden ) ),
    inference(pattern_uni,[status(thm)],[947:[bind(A,$thf( A )),bind(B,$thf( sk27 ))]]) ).

thf(1211,plain,
    ! [A: $i] :
      ~ ( k1_xboole_0 @ ( A @ r2_hidden ) ),
    inference(rewrite,[status(thm)],[948,1094]) ).

thf(107,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_yellow_0 )
        & ( B @ v4_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
          & ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ~ ( C @ v1_xboole_0 )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_yellow_9) ).

thf(730,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_yellow_0 )
        & ( B @ v4_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
          & ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ~ ( C @ v1_xboole_0 )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( A @ v1_membered )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( B @ v1_membered ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).

thf(217,plain,
    ! [A: $i] :
      ( ( A @ v1_membered )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( B @ v1_membered ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(108,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ v8_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( B @ v6_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ~ ( B @ v1_xboole_0 )
              & ( B @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_waybel_1) ).

thf(741,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ v8_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( B @ v6_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ~ ( B @ v1_xboole_0 )
              & ( B @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(76,axiom,
    ? [A: $i] :
      ( ( A @ v25_waybel_0 )
      & ( A @ v24_waybel_0 )
      & ( A @ v3_yellow_0 )
      & ( A @ v2_yellow_0 )
      & ( A @ v1_yellow_0 )
      & ( A @ v3_lattice3 )
      & ( A @ v2_lattice3 )
      & ( A @ v1_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ( A @ v1_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc13_waybel_0) ).

thf(527,plain,
    ? [A: $i] :
      ( ( A @ v25_waybel_0 )
      & ( A @ v24_waybel_0 )
      & ( A @ v3_yellow_0 )
      & ( A @ v2_yellow_0 )
      & ( A @ v1_yellow_0 )
      & ( A @ v3_lattice3 )
      & ( A @ v2_lattice3 )
      & ( A @ v1_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ( A @ v1_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(528,plain,
    ( ( sk19 @ v25_waybel_0 )
    & ( sk19 @ v24_waybel_0 )
    & ( sk19 @ v3_yellow_0 )
    & ( sk19 @ v2_yellow_0 )
    & ( sk19 @ v1_yellow_0 )
    & ( sk19 @ v3_lattice3 )
    & ( sk19 @ v2_lattice3 )
    & ( sk19 @ v1_lattice3 )
    & ( sk19 @ v4_orders_2 )
    & ( sk19 @ v3_orders_2 )
    & ( sk19 @ v2_orders_2 )
    & ( sk19 @ v1_orders_2 )
    & ~ ( sk19 @ v3_struct_0 )
    & ( sk19 @ l1_orders_2 ) ),
    inference(cnf,[status(esa)],[527]) ).

thf(539,plain,
    sk19 @ v1_lattice3,
    inference(cnfConj,[status(thm)],[528]) ).

thf(921,plain,
    ( ( ( sk19 @ v1_lattice3 )
     != ( sk14 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[539,909]) ).

thf(922,plain,
    ( ( ( sk19 @ v1_lattice3 )
     != ( sk14 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[921]) ).

thf(926,plain,
    ( ( sk19 != sk14 )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[922]) ).

thf(1072,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ( sk19 != sk14 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,926]) ).

thf(1073,plain,
    ( ( sk19 != sk14 )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1072:[bind(A,$thf( sk14 ))]]) ).

thf(861,plain,
    sk30 @ v2_funct_1,
    inference(cnfConj,[status(thm)],[858]) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ m1_subset_1 ) )
     => ( ( B @ ( A @ r2_hidden ) )
        | ( B @ v1_xboole_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

thf(160,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ m1_subset_1 ) )
     => ( ( B @ ( A @ r2_hidden ) )
        | ( B @ v1_xboole_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(161,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ r2_hidden ) )
      | ( B @ v1_xboole_0 )
      | ~ ( B @ ( A @ m1_subset_1 ) ) ),
    inference(cnf,[status(esa)],[160]) ).

thf(1328,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[196,161]) ).

thf(1329,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[1328]) ).

thf(1330,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk6 @ r2_hidden ) )
      | ( A @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1329:[bind(A,$thf( D )),bind(B,$thf( D @ sk6 )),bind(C,$thf( D ))]]) ).

thf(1331,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk6 @ r2_hidden ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[1330]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ r2_hidden ) )
     => ( B @ ( A @ m1_subset_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

thf(184,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ r2_hidden ) )
     => ( B @ ( A @ m1_subset_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(185,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ m1_subset_1 ) )
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(cnf,[status(esa)],[184]) ).

thf(3377,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ r2_hidden ) )
       != ( C @ ( B @ r2_hidden ) ) )
      | ( C @ ( B @ m1_subset_1 ) )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[1331,185]) ).

thf(3378,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ r2_hidden ) )
       != ( C @ ( B @ r2_hidden ) ) )
      | ( C @ ( B @ m1_subset_1 ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[3377]) ).

thf(3379,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
      | ( A @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[3378:[bind(A,$thf( D )),bind(B,$thf( D @ sk6 )),bind(C,$thf( D ))]]) ).

thf(3382,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[3379]) ).

thf(2408,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[202,161]) ).

thf(2409,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2408]) ).

thf(2410,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ r2_hidden ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[2409:[bind(A,$thf( E )),bind(B,$thf( E @ sk7 )),bind(C,$thf( E @ k1_zfmisc_1 ))]]) ).

thf(2434,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ r2_hidden ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2410]) ).

thf(134,plain,
    sk1 @ v2_orders_2,
    inference(cnfConj,[status(thm)],[129]) ).

thf(1066,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ v2_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,134]) ).

thf(1067,plain,
    ( ( k1_xboole_0 @ v2_orders_2 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1066:[bind(A,$thf( sk1 ))]]) ).

thf(1325,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v2_orders_2 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1067]) ).

thf(1326,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v2_orders_2 ) ),
    inference(simp,[status(thm)],[1325]) ).

thf(1327,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ v2_orders_2 ) ),
    inference(simp,[status(thm)],[1326]) ).

thf(623,plain,
    ~ ( sk24 @ v3_struct_0 ),
    inference(cnfConj,[status(thm)],[613]) ).

thf(1006,plain,
    ! [A: $i] :
      ( ( A != sk24 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,623]) ).

thf(1007,plain,
    ( ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk24 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1006:[bind(A,$thf( sk24 ))]]) ).

thf(1308,plain,
    ( ( ( sk24 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1007]) ).

thf(1309,plain,
    ( ( ( sk24 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1308]) ).

thf(1310,plain,
    ( ( sk24 != k1_xboole_0 )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1309]) ).

thf(533,plain,
    ~ ( sk19 @ v3_struct_0 ),
    inference(cnfConj,[status(thm)],[528]) ).

thf(538,plain,
    sk19 @ v2_yellow_0,
    inference(cnfConj,[status(thm)],[528]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ( A @ v1_membered ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_membered) ).

thf(152,plain,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ( A @ v1_membered ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(153,plain,
    ! [A: $i] :
      ( ( A @ v1_membered )
      | ~ ( A @ v2_membered ) ),
    inference(cnf,[status(esa)],[152]) ).

thf(43,axiom,
    ? [A: $i] :
      ( ( A @ v3_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ( A @ v1_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattice3) ).

thf(298,plain,
    ? [A: $i] :
      ( ( A @ v3_lattice3 )
      & ( A @ v4_orders_2 )
      & ( A @ v3_orders_2 )
      & ( A @ v2_orders_2 )
      & ( A @ v1_orders_2 )
      & ~ ( A @ v3_struct_0 )
      & ( A @ l1_orders_2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(299,plain,
    ( ( sk12 @ v3_lattice3 )
    & ( sk12 @ v4_orders_2 )
    & ( sk12 @ v3_orders_2 )
    & ( sk12 @ v2_orders_2 )
    & ( sk12 @ v1_orders_2 )
    & ~ ( sk12 @ v3_struct_0 )
    & ( sk12 @ l1_orders_2 ) ),
    inference(cnf,[status(esa)],[298]) ).

thf(301,plain,
    sk12 @ v1_orders_2,
    inference(cnfConj,[status(thm)],[299]) ).

thf(59,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v2_yellow_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_waybel_0) ).

thf(389,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v2_yellow_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(141,plain,
    sk1 @ ( sk2 @ v7_waybel_1 ),
    inference(cnfConj,[status(thm)],[129]) ).

thf(1054,plain,
    ! [A: $i] :
      ( ( A != sk2 )
      | ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,141]) ).

thf(1055,plain,
    ( ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) )
    | ~ ( sk2 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1054:[bind(A,$thf( sk2 ))]]) ).

thf(115,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v1_lattice3 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_lattice3 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_waybel_8) ).

thf(785,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v1_lattice3 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_lattice3 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(81,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
            & ( A @ ( B @ v7_waybel_1 ) )
            & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
            & ( B @ v1_funct_1 ) )
         => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
          <=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v22_waybel_0 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_waybel34) ).

thf(587,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
            & ( A @ ( B @ v7_waybel_1 ) )
            & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
            & ( B @ v1_funct_1 ) )
         => ( ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v22_waybel_0 ) ) )
             => ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) ) )
            & ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
             => ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v22_waybel_0 ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(619,plain,
    sk24 @ v3_yellow_0,
    inference(cnfConj,[status(thm)],[613]) ).

thf(542,plain,
    sk19 @ l1_orders_2,
    inference(cnfConj,[status(thm)],[528]) ).

thf(67,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v7_waybel_1 ) )
          & ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_waybel_1) ).

thf(460,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v7_waybel_1 ) )
          & ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ v1_finset_1 )
        & ( A @ v1_finset_1 ) )
     => ( B @ ( A @ k2_zfmisc_1 ) @ v1_finset_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1) ).

thf(188,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ v1_finset_1 )
        & ( A @ v1_finset_1 ) )
     => ( B @ ( A @ k2_zfmisc_1 ) @ v1_finset_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(189,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ k2_zfmisc_1 ) @ v1_finset_1 )
      | ~ ( B @ v1_finset_1 )
      | ~ ( A @ v1_finset_1 ) ),
    inference(cnf,[status(esa)],[188]) ).

thf(968,plain,
    ! [A: $i] :
      ( ( A != sk12 )
      | ( k1_xboole_0 @ v1_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,301]) ).

thf(969,plain,
    ( ( k1_xboole_0 @ v1_orders_2 )
    | ~ ( sk12 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[968:[bind(A,$thf( sk12 ))]]) ).

thf(64,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 ) )
       => ( A @ v3_yellow_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_yellow_0) ).

thf(448,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 ) )
       => ( A @ v3_yellow_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(5461,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5173,175]) ).

thf(5462,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5461]) ).

thf(5463,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5462:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZE )),bind(K,$thf( K )),bind(L,$thf( sk30 @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).

thf(5477,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5463]) ).

thf(7410,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5477,175]) ).

thf(7411,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[7410]) ).

thf(7412,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[7411:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZH )),bind(L,$thf( L )),bind(M,$thf( sk30 @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).

thf(7443,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[7412]) ).

thf(8098,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[7443,175]) ).

thf(8099,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk30 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[8098]) ).

thf(8100,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[8099:[bind(A,$thf( O )),bind(B,$thf( Q )),bind(C,$thf( S )),bind(D,$thf( U )),bind(E,$thf( W )),bind(F,$thf( Y )),bind(G,$thf( ZA )),bind(H,$thf( ZC )),bind(I,$thf( ZE )),bind(J,$thf( ZG )),bind(K,$thf( ZI )),bind(L,$thf( ZK )),bind(M,$thf( M )),bind(N,$thf( sk30 @ ( ZK @ k8_relat_1 ) @ ( ZI @ k8_relat_1 ) @ ( ZG @ k8_relat_1 ) @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) ))]]) ).

thf(8126,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk30 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[8100]) ).

thf(132,plain,
    sk1 @ v3_orders_2,
    inference(cnfConj,[status(thm)],[129]) ).

thf(1012,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ v3_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,132]) ).

thf(1013,plain,
    ( ( k1_xboole_0 @ v3_orders_2 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1012:[bind(A,$thf( sk1 ))]]) ).

thf(41,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
    <=> ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

thf(284,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
       => ( B @ ( A @ ( C @ m2_relset_1 ) ) ) )
      & ( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
       => ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(26,axiom,
    ? [A: $i] :
      ( ( A @ v1_finset_1 )
      & ~ ( A @ v1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).

thf(213,plain,
    ? [A: $i] :
      ( ( A @ v1_finset_1 )
      & ~ ( A @ v1_xboole_0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(214,plain,
    ( ( sk9 @ v1_finset_1 )
    & ~ ( sk9 @ v1_xboole_0 ) ),
    inference(cnf,[status(esa)],[213]) ).

thf(216,plain,
    sk9 @ v1_finset_1,
    inference(cnfConj,[status(thm)],[214]) ).

thf(5255,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[4877,175]) ).

thf(5256,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5255]) ).

thf(5257,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5256:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZE )),bind(K,$thf( K )),bind(L,$thf( k1_xboole_0 @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).

thf(5264,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5257]) ).

thf(82,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v8_waybel_1 ) )
          & ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_waybel_1) ).

thf(591,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v8_waybel_1 ) )
          & ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(45,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
     => ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).

thf(321,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
     => ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ v1_xboole_0 )
        & ( A != B )
        & ( A @ v1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

thf(162,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ v1_xboole_0 )
        & ( A != B )
        & ( A @ v1_xboole_0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(163,plain,
    ~ ? [A: $i] :
        ( ? [B: $i] :
            ( ( B @ v1_xboole_0 )
            & ( A != B ) )
        & ( A @ v1_xboole_0 ) ),
    inference(miniscope,[status(thm)],[162]) ).

thf(164,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ v1_xboole_0 )
      | ( A = B )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(cnf,[status(esa)],[163]) ).

thf(165,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ v1_xboole_0 )
      | ~ ( A @ v1_xboole_0 )
      | ( A = B ) ),
    inference(lifteq,[status(thm)],[164]) ).

thf(1691,plain,
    ! [B: $i,A: $i] :
      ( ( A != sk14 )
      | ( B != sk10 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( B @ v1_xboole_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[165,919]) ).

thf(1692,plain,
    ! [A: $i] :
      ( ( A != sk10 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 )
      | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1691:[bind(A,$thf( sk14 ))]]) ).

thf(2034,plain,
    ( ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk10 @ v1_xboole_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[1692]) ).

thf(52,axiom,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( B @ ( A @ ( C @ m2_relset_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).

thf(353,plain,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( B @ ( A @ ( C @ m2_relset_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(119,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
        & ( A @ ( B @ v6_waybel_1 ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
        & ( B @ v1_funct_1 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34) ).

thf(821,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
        & ( A @ ( B @ v6_waybel_1 ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
        & ( B @ v1_funct_1 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(211,plain,
    sk8 @ l1_struct_0,
    inference(cnfConj,[status(thm)],[210]) ).

thf(91,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ u1_orders_2 @ m2_relset_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).

thf(646,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ u1_orders_2 @ m2_relset_1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(253,plain,
    sk10 @ v3_lattice3,
    inference(cnfConj,[status(thm)],[246]) ).

thf(2860,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[202,181]) ).

thf(2861,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2860]) ).

thf(2862,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk7 @ r1_tarski ) )
      | ( A @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[2861:[bind(A,$thf( D )),bind(B,$thf( D @ sk7 )),bind(C,$thf( D ))]]) ).

thf(2880,plain,
    ! [A: $i] :
      ( ( A @ ( A @ sk7 @ r1_tarski ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2862]) ).

thf(70,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
        & ( A @ ( B @ v7_waybel_1 ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
        & ( B @ v1_funct_1 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel10) ).

thf(485,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
        & ( A @ ( B @ v7_waybel_1 ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
        & ( B @ v1_funct_1 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(1135,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ v1_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,139]) ).

thf(1136,plain,
    ( ( k1_xboole_0 @ v1_lattice3 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1135:[bind(A,$thf( sk1 ))]]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc18_membered) ).

thf(147,plain,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(28,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ v1_xboole_0 )
        & ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        & ( B @ ( A @ r2_hidden ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

thf(219,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ v1_xboole_0 )
        & ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        & ( B @ ( A @ r2_hidden ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(220,plain,
    ~ ? [A: $i,B: $i] :
        ( ? [C: $i] :
            ( ( C @ v1_xboole_0 )
            & ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
        & ( B @ ( A @ r2_hidden ) ) ),
    inference(miniscope,[status(thm)],[219]) ).

thf(221,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ v1_xboole_0 )
      | ~ ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(cnf,[status(esa)],[220]) ).

thf(60,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v3_lattice3 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v25_waybel_0 )
          & ( A @ v24_waybel_0 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_waybel_0) ).

thf(396,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v3_lattice3 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v25_waybel_0 )
          & ( A @ v24_waybel_0 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(133,plain,
    sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ v4_waybel_0 ),
    inference(cnfConj,[status(thm)],[129]) ).

thf(63,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ? [B: $i] :
          ( ( B @ v3_lattice3 )
          & ( B @ v2_lattice3 )
          & ( B @ v1_lattice3 )
          & ( B @ v25_waybel_0 )
          & ( B @ v24_waybel_0 )
          & ( A @ ( B @ v4_waybel_0 ) )
          & ( A @ ( B @ v3_waybel_0 ) )
          & ( A @ ( B @ v7_yellow_0 ) )
          & ( A @ ( B @ v5_yellow_0 ) )
          & ( A @ ( B @ v4_yellow_0 ) )
          & ( B @ v3_yellow_0 )
          & ( B @ v2_yellow_0 )
          & ( B @ v1_yellow_0 )
          & ( B @ v4_orders_2 )
          & ( B @ v3_orders_2 )
          & ( B @ v2_orders_2 )
          & ~ ( B @ v3_struct_0 )
          & ( A @ ( B @ m1_yellow_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_waybel21) ).

thf(428,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ? [B: $i] :
          ( ( B @ v3_lattice3 )
          & ( B @ v2_lattice3 )
          & ( B @ v1_lattice3 )
          & ( B @ v25_waybel_0 )
          & ( B @ v24_waybel_0 )
          & ( A @ ( B @ v4_waybel_0 ) )
          & ( A @ ( B @ v3_waybel_0 ) )
          & ( A @ ( B @ v7_yellow_0 ) )
          & ( A @ ( B @ v5_yellow_0 ) )
          & ( A @ ( B @ v4_yellow_0 ) )
          & ( B @ v3_yellow_0 )
          & ( B @ v2_yellow_0 )
          & ( B @ v1_yellow_0 )
          & ( B @ v4_orders_2 )
          & ( B @ v3_orders_2 )
          & ( B @ v2_orders_2 )
          & ~ ( B @ v3_struct_0 )
          & ( A @ ( B @ m1_yellow_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(980,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( k1_xboole_0 @ v1_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,909]) ).

thf(981,plain,
    ( ~ ( sk14 @ v3_struct_0 )
    | ~ ( k1_xboole_0 @ v1_lattice3 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[980:[bind(A,$thf( sk14 ))]]) ).

thf(130,plain,
    sk1 @ v4_orders_2,
    inference(cnfConj,[status(thm)],[129]) ).

thf(1103,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ v4_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,130]) ).

thf(1104,plain,
    ( ( k1_xboole_0 @ v4_orders_2 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1103:[bind(A,$thf( sk1 ))]]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ v6_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( A @ ( B @ v5_orders_3 ) ) )
              & ( B @ v11_quantal1 )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ~ ( B @ v1_xboole_0 )
              & ( B @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel10) ).

thf(265,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ v6_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( A @ ( B @ v5_orders_3 ) ) )
              & ( B @ v11_quantal1 )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ~ ( B @ v1_xboole_0 )
              & ( B @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(44,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v24_waybel_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v25_waybel_0 )
          & ( A @ v24_waybel_0 )
          & ( A @ v3_yellow_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_2) ).

thf(307,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v24_waybel_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v25_waybel_0 )
          & ( A @ v24_waybel_0 )
          & ( A @ v3_yellow_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(33,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v3_lattice3 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v5_orders_3 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v4_waybel_1 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v21_waybel_0 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v19_waybel_0 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v17_waybel_0 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_partfun1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel34) ).

thf(233,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v3_lattice3 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v5_orders_3 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v4_waybel_1 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v21_waybel_0 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v19_waybel_0 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v17_waybel_0 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_partfun1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(529,plain,
    sk19 @ v2_orders_2,
    inference(cnfConj,[status(thm)],[528]) ).

thf(58,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 ) )
     => ? [C: $i] :
          ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_waybel10) ).

thf(381,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 ) )
     => ? [C: $i] :
          ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(534,plain,
    sk19 @ v1_orders_2,
    inference(cnfConj,[status(thm)],[528]) ).

thf(1056,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,141]) ).

thf(1057,plain,
    ( ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1056:[bind(A,$thf( sk1 ))]]) ).

thf(302,plain,
    ~ ( sk12 @ v3_struct_0 ),
    inference(cnfConj,[status(thm)],[299]) ).

thf(125,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_waybel_1) ).

thf(862,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(137,plain,
    sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ v1_funct_2 ) ),
    inference(cnfConj,[status(thm)],[129]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel_8) ).

thf(227,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(228,plain,
    ! [A: $i] :
      ( ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v4_orders_2 ) )
      & ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v4_orders_2 ) ) ),
    inference(cnf,[status(esa)],[227]) ).

thf(229,plain,
    ! [A: $i] :
      ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
      | ~ ( A @ l1_orders_2 )
      | ~ ( A @ v4_orders_2 ) ),
    inference(cnfConj,[status(thm)],[228]) ).

thf(252,plain,
    sk10 @ v4_orders_2,
    inference(cnfConj,[status(thm)],[246]) ).

thf(54,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_orders_2 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel_8) ).

thf(361,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_orders_2 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(87,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v1_orders_2 )
       => ( A
          = ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).

thf(625,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v1_orders_2 )
       => ( A
          = ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(3347,plain,
    ( ( ( sk2 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1055]) ).

thf(3348,plain,
    ( ( ( sk2 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) ) ),
    inference(simp,[status(thm)],[3347]) ).

thf(3349,plain,
    ( ( sk2 != k1_xboole_0 )
    | ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) ) ),
    inference(simp,[status(thm)],[3348]) ).

thf(75,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v1_yellow_0 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_waybel_0) ).

thf(522,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v1_yellow_0 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(1026,plain,
    ! [A: $i] :
      ( ( A != sk19 )
      | ( k1_xboole_0 @ v1_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,534]) ).

thf(1027,plain,
    ( ( k1_xboole_0 @ v1_orders_2 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1026:[bind(A,$thf( sk19 ))]]) ).

thf(7085,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5264,175]) ).

thf(7086,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[7085]) ).

thf(7087,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[7086:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZH )),bind(L,$thf( L )),bind(M,$thf( k1_xboole_0 @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).

thf(7116,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[7087]) ).

thf(7856,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[7116,175]) ).

thf(7857,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[7856]) ).

thf(7858,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[7857:[bind(A,$thf( O )),bind(B,$thf( Q )),bind(C,$thf( S )),bind(D,$thf( U )),bind(E,$thf( W )),bind(F,$thf( Y )),bind(G,$thf( ZA )),bind(H,$thf( ZC )),bind(I,$thf( ZE )),bind(J,$thf( ZG )),bind(K,$thf( ZI )),bind(L,$thf( ZK )),bind(M,$thf( M )),bind(N,$thf( k1_xboole_0 @ ( ZK @ k8_relat_1 ) @ ( ZI @ k8_relat_1 ) @ ( ZG @ k8_relat_1 ) @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) ))]]) ).

thf(7891,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[7858]) ).

thf(66,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
     => ( ( B @ ( A @ g1_orders_2 ) @ l1_orders_2 )
        & ( B @ ( A @ g1_orders_2 ) @ v1_orders_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_orders_2) ).

thf(456,plain,
    ! [A: $i,B: $i] :
      ( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
     => ( ( B @ ( A @ g1_orders_2 ) @ l1_orders_2 )
        & ( B @ ( A @ g1_orders_2 ) @ v1_orders_2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(1034,plain,
    ! [A: $i] :
      ( ( A != sk12 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,302]) ).

thf(1035,plain,
    ( ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk12 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1034:[bind(A,$thf( sk12 ))]]) ).

thf(1358,plain,
    ( ( ( sk12 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1035]) ).

thf(1359,plain,
    ( ( ( sk12 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1358]) ).

thf(1360,plain,
    ( ( sk12 != k1_xboole_0 )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1359]) ).

thf(5958,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5857,175]) ).

thf(5959,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( H @ v1_relat_1 ) )
      | ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[5958]) ).

thf(5960,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[5959:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( R )),bind(G,$thf( G )),bind(H,$thf( R @ ( Q @ k2_zfmisc_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).

thf(5964,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[5960]) ).

thf(6145,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[5964,175]) ).

thf(6146,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( I @ v1_relat_1 ) )
      | ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6145]) ).

thf(6147,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6146:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( U )),bind(H,$thf( H )),bind(I,$thf( U @ ( T @ k2_zfmisc_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).

thf(6151,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6147]) ).

thf(6285,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6151,175]) ).

thf(6286,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( J @ v1_relat_1 ) )
      | ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6285]) ).

thf(6287,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6286:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( X )),bind(I,$thf( I )),bind(J,$thf( X @ ( W @ k2_zfmisc_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).

thf(6301,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6287]) ).

thf(6519,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6301,175]) ).

thf(6520,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6519]) ).

thf(6521,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6520:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZA )),bind(J,$thf( J )),bind(K,$thf( ZA @ ( Z @ k2_zfmisc_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).

thf(6546,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6521]) ).

thf(6695,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6546,175]) ).

thf(6696,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6695]) ).

thf(6697,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6696:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZD )),bind(K,$thf( K )),bind(L,$thf( ZD @ ( ZC @ k2_zfmisc_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).

thf(6718,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6697]) ).

thf(6977,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6718,175]) ).

thf(6978,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6977]) ).

thf(6979,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6978:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZG )),bind(L,$thf( L )),bind(M,$thf( ZG @ ( ZF @ k2_zfmisc_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).

thf(6981,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6979]) ).

thf(7628,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6981,175]) ).

thf(7629,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[7628]) ).

thf(7630,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( M @ ( L @ k2_zfmisc_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[7629:[bind(A,$thf( O )),bind(B,$thf( Q )),bind(C,$thf( S )),bind(D,$thf( U )),bind(E,$thf( W )),bind(F,$thf( Y )),bind(G,$thf( ZA )),bind(H,$thf( ZC )),bind(I,$thf( ZE )),bind(J,$thf( ZG )),bind(K,$thf( ZI )),bind(L,$thf( ZJ )),bind(M,$thf( M )),bind(N,$thf( ZJ @ ( ZI @ k2_zfmisc_1 ) @ ( ZG @ k8_relat_1 ) @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) ))]]) ).

thf(7639,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( M @ ( L @ k2_zfmisc_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[7630]) ).

thf(8540,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( M @ ( L @ k2_zfmisc_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( O @ v1_relat_1 ) )
      | ( O @ ( N @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[7639,175]) ).

thf(8541,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( M @ ( L @ k2_zfmisc_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( O @ v1_relat_1 ) )
      | ( O @ ( N @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[8540]) ).

thf(8542,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( N @ ( M @ k2_zfmisc_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[8541:[bind(A,$thf( P )),bind(B,$thf( R )),bind(C,$thf( T )),bind(D,$thf( V )),bind(E,$thf( X )),bind(F,$thf( Z )),bind(G,$thf( ZB )),bind(H,$thf( ZD )),bind(I,$thf( ZF )),bind(J,$thf( ZH )),bind(K,$thf( ZJ )),bind(L,$thf( ZL )),bind(M,$thf( ZM )),bind(N,$thf( N )),bind(O,$thf( ZM @ ( ZL @ k2_zfmisc_1 ) @ ( ZJ @ k8_relat_1 ) @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) ))]]) ).

thf(8562,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( N @ ( M @ k2_zfmisc_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[8542]) ).

thf(106,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_2) ).

thf(725,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(988,plain,
    ! [A: $i] :
      ( ( A != sk24 )
      | ( k1_xboole_0 @ v1_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,614]) ).

thf(989,plain,
    ( ( k1_xboole_0 @ v1_lattice3 )
    | ~ ( sk24 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[988:[bind(A,$thf( sk24 ))]]) ).

thf(3079,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[3069,161]) ).

thf(3080,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[3079]) ).

thf(3081,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ r2_hidden ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[3080:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ k1_zfmisc_1 ))]]) ).

thf(3105,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ r2_hidden ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[3081]) ).

thf(3674,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[3382,181]) ).

thf(3675,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[3674]) ).

thf(3676,plain,
    ! [A: $i] :
      ( ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[3675:[bind(A,$thf( E @ k1_zfmisc_1 )),bind(B,$thf( E @ k1_zfmisc_1 @ sk6 )),bind(C,$thf( E ))]]) ).

thf(3699,plain,
    ! [A: $i] :
      ( ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[3676]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc17_membered) ).

thf(156,plain,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(615,plain,
    sk24 @ l1_orders_2,
    inference(cnfConj,[status(thm)],[613]) ).

thf(7977,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[7304,175]) ).

thf(7978,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[7977]) ).

thf(7979,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[7978:[bind(A,$thf( O )),bind(B,$thf( Q )),bind(C,$thf( S )),bind(D,$thf( U )),bind(E,$thf( W )),bind(F,$thf( Y )),bind(G,$thf( ZA )),bind(H,$thf( ZC )),bind(I,$thf( ZE )),bind(J,$thf( ZG )),bind(K,$thf( ZI )),bind(L,$thf( ZK )),bind(M,$thf( M )),bind(N,$thf( sk25 @ ( ZK @ k8_relat_1 ) @ ( ZI @ k8_relat_1 ) @ ( ZG @ k8_relat_1 ) @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) ))]]) ).

thf(8009,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[7979]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_struct_0 )
        & ~ ( A @ v3_struct_0 ) )
     => ~ ( A @ u1_struct_0 @ v1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

thf(256,plain,
    ! [A: $i] :
      ( ( ( A @ l1_struct_0 )
        & ~ ( A @ v3_struct_0 ) )
     => ~ ( A @ u1_struct_0 @ v1_xboole_0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(1655,plain,
    ! [B: $i,A: $i] :
      ( ( A != sk19 )
      | ( B != sk14 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( B @ v1_xboole_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[165,926]) ).

thf(1656,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 )
      | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1655:[bind(A,$thf( sk19 ))]]) ).

thf(2023,plain,
    ( ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[1656]) ).

thf(110,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v7_yellow_0 ) )
           => ( A @ ( B @ v5_yellow_0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc9_yellow_0) ).

thf(753,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v7_yellow_0 ) )
           => ( A @ ( B @ v5_yellow_0 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(930,plain,
    ( ( ( sk24 @ v1_lattice3 )
     != ( sk14 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[614,909]) ).

thf(931,plain,
    ( ( ( sk24 @ v1_lattice3 )
     != ( sk14 @ v1_lattice3 ) )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[930]) ).

thf(935,plain,
    ( ( sk24 != sk14 )
    | ~ ( sk14 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[931]) ).

thf(1181,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ( sk24 != sk14 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,935]) ).

thf(1182,plain,
    ( ( sk24 != sk14 )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1181:[bind(A,$thf( sk14 ))]]) ).

thf(90,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v4_yellow_0 ) )
           => ( ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v4_orders_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc8_yellow_0) ).

thf(642,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v4_yellow_0 ) )
           => ( ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v4_orders_2 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(5522,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[192,206]) ).

thf(5523,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[5522]) ).

thf(5524,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ k2_zfmisc_1 ) @ sk5 @ v1_relat_1 )
      | ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[5523:[bind(A,$thf( G @ ( F @ k2_zfmisc_1 ) )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( G @ ( F @ k2_zfmisc_1 ) @ sk5 ))]]) ).

thf(5547,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ k2_zfmisc_1 ) @ sk5 @ v1_relat_1 )
      | ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[5524]) ).

thf(759,plain,
    sk27 @ v1_funct_1,
    inference(cnfConj,[status(thm)],[756]) ).

thf(1214,plain,
    k1_xboole_0 @ v1_funct_1,
    inference(rewrite,[status(thm)],[759,1094]) ).

thf(193,plain,
    ! [A: $i] :
      ( ~ ( A @ sk5 @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(cnfConj,[status(thm)],[191]) ).

thf(537,plain,
    sk19 @ v3_lattice3,
    inference(cnfConj,[status(thm)],[528]) ).

thf(1074,plain,
    ! [A: $i] :
      ( ( A != sk19 )
      | ( sk14 != k1_xboole_0 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,926]) ).

thf(1075,plain,
    ( ( sk14 != k1_xboole_0 )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1074:[bind(A,$thf( sk19 ))]]) ).

thf(102,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( ( B @ l1_orders_2 )
            & ~ ( B @ v3_struct_0 ) )
         => ! [C: $i] :
              ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
                & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
                & ( C @ v1_funct_1 ) )
             => ( ( C @ ( B @ ( A @ k2_waybel_1 ) ) )
                = ( C @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ k8_relat_1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_waybel_1) ).

thf(701,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( ( B @ l1_orders_2 )
            & ~ ( B @ v3_struct_0 ) )
         => ! [C: $i] :
              ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
                & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
                & ( C @ v1_funct_1 ) )
             => ( ( C @ ( B @ ( A @ k2_waybel_1 ) ) )
                = ( C @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ k8_relat_1 ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(986,plain,
    ! [A: $i] :
      ( ( A != sk10 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,247]) ).

thf(987,plain,
    ( ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk10 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[986:[bind(A,$thf( sk10 ))]]) ).

thf(1247,plain,
    ( ( ( sk10 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,987]) ).

thf(1248,plain,
    ( ( ( sk10 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1247]) ).

thf(1249,plain,
    ( ( sk10 != k1_xboole_0 )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1248]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
     => ! [C: $i,D: $i] :
          ( ( ( B @ ( A @ g1_orders_2 ) )
            = ( D @ ( C @ g1_orders_2 ) ) )
         => ( ( B = D )
            & ( A = C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).

thf(168,plain,
    ! [A: $i,B: $i] :
      ( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
     => ! [C: $i,D: $i] :
          ( ( ( B @ ( A @ g1_orders_2 ) )
            = ( D @ ( C @ g1_orders_2 ) ) )
         => ( ( B = D )
            & ( A = C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(169,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B = D )
        | ( ( B @ ( A @ g1_orders_2 ) )
         != ( D @ ( C @ g1_orders_2 ) ) )
        | ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) )
      & ( ( A = C )
        | ( ( B @ ( A @ g1_orders_2 ) )
         != ( D @ ( C @ g1_orders_2 ) ) )
        | ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) ) ),
    inference(cnf,[status(esa)],[168]) ).

thf(171,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B = D )
      | ( ( B @ ( A @ g1_orders_2 ) )
       != ( D @ ( C @ g1_orders_2 ) ) )
      | ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) ),
    inference(cnfConj,[status(thm)],[169]) ).

thf(173,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) )
      | ( B = D )
      | ( ( B @ ( A @ g1_orders_2 ) )
       != ( D @ ( C @ g1_orders_2 ) ) ) ),
    inference(lifteq,[status(thm)],[171]) ).

thf(56,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v3_yellow_0 )
       => ( ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_yellow_0) ).

thf(371,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v3_yellow_0 )
       => ( ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(622,plain,
    sk24 @ v2_yellow_0,
    inference(cnfConj,[status(thm)],[613]) ).

thf(120,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ? [B: $i] : ( A @ ( B @ m1_yellow_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_yellow_0) ).

thf(837,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ? [B: $i] : ( A @ ( B @ m1_yellow_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).

thf(1261,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v3_orders_2 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1013]) ).

thf(1262,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v3_orders_2 ) ),
    inference(simp,[status(thm)],[1261]) ).

thf(1263,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ v3_orders_2 ) ),
    inference(simp,[status(thm)],[1262]) ).

thf(996,plain,
    ! [A: $i] :
      ( ( A != sk19 )
      | ( k1_xboole_0 @ v2_yellow_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,538]) ).

thf(997,plain,
    ( ( k1_xboole_0 @ v2_yellow_0 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[996:[bind(A,$thf( sk19 ))]]) ).

thf(1971,plain,
    ! [B: $i,A: $i] :
      ( ( A != sk24 )
      | ( B != sk14 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( B @ v1_xboole_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[165,935]) ).

thf(1972,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 )
      | ~ ( sk24 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1971:[bind(A,$thf( sk24 ))]]) ).

thf(2125,plain,
    ( ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 )
    | ~ ( sk24 @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[1972]) ).

thf(984,plain,
    ! [A: $i] :
      ( ( A != sk10 )
      | ( k1_xboole_0 @ v2_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,249]) ).

thf(985,plain,
    ( ( k1_xboole_0 @ v2_orders_2 )
    | ~ ( sk10 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[984:[bind(A,$thf( sk10 ))]]) ).

thf(72,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v2_lattice3 )
       => ~ ( A @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).

thf(503,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( A @ v2_lattice3 )
       => ~ ( A @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(84,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( ( B @ l1_orders_2 )
            & ~ ( B @ v3_struct_0 ) )
         => ! [C: $i] :
              ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
                & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
                & ( C @ v1_funct_1 ) )
             => ( ( C @ ( B @ ( A @ k3_waybel_1 ) ) )
                = ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ k7_grcat_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d17_waybel_1) ).

thf(605,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( ( B @ l1_orders_2 )
            & ~ ( B @ v3_struct_0 ) )
         => ! [C: $i] :
              ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
                & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
                & ( C @ v1_funct_1 ) )
             => ( ( C @ ( B @ ( A @ k3_waybel_1 ) ) )
                = ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ k7_grcat_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(89,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ ( A @ ( C @ v5_orders_3 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( A @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v5_orders_3 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel10) ).

thf(633,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ ( A @ ( C @ v5_orders_3 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( A @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v5_orders_3 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(541,plain,
    sk19 @ v2_lattice3,
    inference(cnfConj,[status(thm)],[528]) ).

thf(93,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v4_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
              & ( B @ ( A @ ( C @ v5_orders_3 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 )
              & ~ ( C @ v1_xboole_0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel17) ).

thf(657,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v4_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
              & ( B @ ( A @ ( C @ v5_orders_3 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 )
              & ~ ( C @ v1_xboole_0 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(8796,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( O @ v1_relat_1 ) )
      | ( O @ ( N @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[8009,175]) ).

thf(8797,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk25 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( O @ v1_relat_1 ) )
      | ( O @ ( N @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[8796]) ).

thf(8798,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( N @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[8797:[bind(A,$thf( P )),bind(B,$thf( R )),bind(C,$thf( T )),bind(D,$thf( V )),bind(E,$thf( X )),bind(F,$thf( Z )),bind(G,$thf( ZB )),bind(H,$thf( ZD )),bind(I,$thf( ZF )),bind(J,$thf( ZH )),bind(K,$thf( ZJ )),bind(L,$thf( ZL )),bind(M,$thf( ZN )),bind(N,$thf( N )),bind(O,$thf( sk25 @ ( ZN @ k8_relat_1 ) @ ( ZL @ k8_relat_1 ) @ ( ZJ @ k8_relat_1 ) @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) ))]]) ).

thf(8824,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk25 @ ( N @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[8798]) ).

thf(530,plain,
    sk19 @ v25_waybel_0,
    inference(cnfConj,[status(thm)],[528]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ r2_hidden ) )
     => ~ ( A @ ( B @ r2_hidden ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(145,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ r2_hidden ) )
     => ~ ( A @ ( B @ r2_hidden ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(146,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ r2_hidden ) )
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(cnf,[status(esa)],[145]) ).

thf(904,plain,
    ! [B: $i,A: $i] :
      ( ~ $true
      | ( ( A @ ( B @ r2_hidden ) )
       != ( B @ ( A @ r2_hidden ) ) )
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(eqfactor_ordered,[status(thm)],[146]) ).

thf(905,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ r2_hidden ) ),
    inference(pattern_uni,[status(thm)],[904:[bind(A,$thf( B ))]]) ).

thf(906,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ r2_hidden ) ),
    inference(simp,[status(thm)],[905]) ).

thf(618,plain,
    sk24 @ v2_orders_2,
    inference(cnfConj,[status(thm)],[613]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( B @ ( A @ ( C @ m1_relset_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).

thf(166,plain,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( B @ ( A @ ( C @ m1_relset_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(992,plain,
    ! [A: $i] :
      ( ( A != sk19 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,533]) ).

thf(993,plain,
    ( ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[992:[bind(A,$thf( sk19 ))]]) ).

thf(1299,plain,
    ( ( ( sk19 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,993]) ).

thf(1300,plain,
    ( ( ( sk19 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1299]) ).

thf(1301,plain,
    ( ( sk19 != k1_xboole_0 )
    | ~ ( k1_xboole_0 @ v3_struct_0 ) ),
    inference(simp,[status(thm)],[1300]) ).

thf(148,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ v3_membered )
        | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        | ~ ( A @ v3_membered ) )
      & ( ( B @ v2_membered )
        | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        | ~ ( A @ v3_membered ) )
      & ( ( B @ v1_membered )
        | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        | ~ ( A @ v3_membered ) ) ),
    inference(cnf,[status(esa)],[147]) ).

thf(149,plain,
    ! [B: $i,A: $i] :
      ( ( B @ v1_membered )
      | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( A @ v3_membered ) ),
    inference(cnfConj,[status(thm)],[148]) ).

thf(57,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v24_waybel_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v2_orders_2 ) )
       => ( ( A @ v2_yellow_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc9_waybel_0) ).

thf(375,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v24_waybel_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v2_orders_2 ) )
       => ( ( A @ v2_yellow_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(83,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v4_yellow_0 ) )
           => ( ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v3_orders_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_yellow_0) ).

thf(601,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v4_yellow_0 ) )
           => ( ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v3_orders_2 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(6607,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6463,175]) ).

thf(6608,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( K @ v1_relat_1 ) )
      | ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6607]) ).

thf(6609,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6608:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( ZB )),bind(I,$thf( ZC )),bind(J,$thf( J )),bind(K,$thf( ZC @ ( ZB @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).

thf(6618,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6609]) ).

thf(6880,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6618,175]) ).

thf(6881,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( L @ v1_relat_1 ) )
      | ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[6880]) ).

thf(6882,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[6881:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZE )),bind(J,$thf( ZF )),bind(K,$thf( K )),bind(L,$thf( ZF @ ( ZE @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).

thf(6901,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[6882]) ).

thf(14,axiom,
    ? [A: $i] : ( A @ l1_struct_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).

thf(176,plain,
    ? [A: $i] : ( A @ l1_struct_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(61,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v24_waybel_0 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v24_waybel_0 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel_8) ).

thf(402,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v24_waybel_0 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v24_waybel_0 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(204,plain,
    ! [A: $i] :
      ( ( A @ sk7 @ v1_finset_1 )
      | ( A @ v1_xboole_0 ) ),
    inference(cnfConj,[status(thm)],[201]) ).

thf(79,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v8_waybel_1 ) )
          & ( A @ ( B @ v7_waybel_1 ) )
          & ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v21_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v20_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v19_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v18_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v17_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v5_orders_3 ) ) )
          & ( B @ v11_quantal1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v2_funct_1 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_waybel10) ).

thf(562,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v8_waybel_1 ) )
          & ( A @ ( B @ v7_waybel_1 ) )
          & ( A @ ( B @ v6_waybel_1 ) )
          & ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v21_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v20_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v19_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v18_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v17_waybel_0 ) ) )
          & ( A @ ( A @ ( B @ v5_orders_3 ) ) )
          & ( B @ v11_quantal1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
          & ~ ( B @ v1_xboole_0 )
          & ( B @ v2_funct_1 )
          & ( B @ v1_funct_1 )
          & ( B @ v1_relat_1 )
          & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(536,plain,
    sk19 @ v3_orders_2,
    inference(cnfConj,[status(thm)],[528]) ).

thf(974,plain,
    ! [A: $i] :
      ( ( A != sk19 )
      | ( k1_xboole_0 @ v3_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,536]) ).

thf(975,plain,
    ( ( k1_xboole_0 @ v3_orders_2 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[974:[bind(A,$thf( sk19 ))]]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ( A @ v2_membered ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_membered) ).

thf(143,plain,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ( A @ v2_membered ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(144,plain,
    ! [A: $i] :
      ( ( A @ v2_membered )
      | ~ ( A @ v3_membered ) ),
    inference(cnf,[status(esa)],[143]) ).

thf(105,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v24_waybel_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v3_yellow_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_waybel_0) ).

thf(713,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v24_waybel_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v3_yellow_0 )
          & ( A @ v2_yellow_0 )
          & ( A @ v1_yellow_0 )
          & ( A @ v3_lattice3 )
          & ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v3_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(7522,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[6901,175]) ).

thf(7523,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( M @ v1_relat_1 ) )
      | ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[7522]) ).

thf(7524,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[7523:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZH )),bind(K,$thf( ZI )),bind(L,$thf( L )),bind(M,$thf( ZI @ ( ZH @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).

thf(7547,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[7524]) ).

thf(8219,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( L @ ( K @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[7547,175]) ).

thf(8220,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( L @ ( K @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( N @ v1_relat_1 ) )
      | ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[8219]) ).

thf(8221,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( M @ ( L @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[8220:[bind(A,$thf( O )),bind(B,$thf( Q )),bind(C,$thf( S )),bind(D,$thf( U )),bind(E,$thf( W )),bind(F,$thf( Y )),bind(G,$thf( ZA )),bind(H,$thf( ZC )),bind(I,$thf( ZE )),bind(J,$thf( ZG )),bind(K,$thf( ZK )),bind(L,$thf( ZL )),bind(M,$thf( M )),bind(N,$thf( ZL @ ( ZK @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( ZG @ k8_relat_1 ) @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) ))]]) ).

thf(8244,plain,
    ! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( M @ ( L @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[8221]) ).

thf(540,plain,
    sk19 @ v3_yellow_0,
    inference(cnfConj,[status(thm)],[528]) ).

thf(157,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ v2_membered )
        | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        | ~ ( A @ v2_membered ) )
      & ( ( B @ v1_membered )
        | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        | ~ ( A @ v2_membered ) ) ),
    inference(cnf,[status(esa)],[156]) ).

thf(159,plain,
    ! [B: $i,A: $i] :
      ( ( B @ v2_membered )
      | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( A @ v2_membered ) ),
    inference(cnfConj,[status(thm)],[157]) ).

thf(994,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ l1_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,142]) ).

thf(995,plain,
    ( ( k1_xboole_0 @ l1_orders_2 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[994:[bind(A,$thf( sk1 ))]]) ).

thf(1256,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ l1_orders_2 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,995]) ).

thf(1257,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ l1_orders_2 ) ),
    inference(simp,[status(thm)],[1256]) ).

thf(1258,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ l1_orders_2 ) ),
    inference(simp,[status(thm)],[1257]) ).

thf(978,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ( k1_xboole_0 @ l1_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,352]) ).

thf(979,plain,
    ( ( k1_xboole_0 @ l1_orders_2 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[978:[bind(A,$thf( sk14 ))]]) ).

thf(17,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        & ( B @ ( A @ r2_hidden ) ) )
     => ( C @ ( A @ m1_subset_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

thf(186,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
        & ( B @ ( A @ r2_hidden ) ) )
     => ( C @ ( A @ m1_subset_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(187,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ m1_subset_1 ) )
      | ~ ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( B @ ( A @ r2_hidden ) ) ),
    inference(cnf,[status(esa)],[186]) ).

thf(170,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = C )
      | ( ( B @ ( A @ g1_orders_2 ) )
       != ( D @ ( C @ g1_orders_2 ) ) )
      | ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) ),
    inference(cnfConj,[status(thm)],[169]) ).

thf(172,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) )
      | ( A = C )
      | ( ( B @ ( A @ g1_orders_2 ) )
       != ( D @ ( C @ g1_orders_2 ) ) ) ),
    inference(lifteq,[status(thm)],[170]) ).

thf(1010,plain,
    ! [A: $i] :
      ( ( A != sk10 )
      | ( k1_xboole_0 @ v3_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,253]) ).

thf(1011,plain,
    ( ( k1_xboole_0 @ v3_lattice3 )
    | ~ ( sk10 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1010:[bind(A,$thf( sk10 ))]]) ).

thf(2227,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[192,161]) ).

thf(2228,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
       != ( C @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r2_hidden ) )
      | ( C @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2227]) ).

thf(2229,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ r2_hidden ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[2228:[bind(A,$thf( E )),bind(B,$thf( E @ sk5 )),bind(C,$thf( E @ k1_zfmisc_1 ))]]) ).

thf(2257,plain,
    ! [A: $i] :
      ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ r2_hidden ) )
      | ( A @ k1_zfmisc_1 @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[2229]) ).

thf(8666,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( O @ v1_relat_1 ) )
      | ( O @ ( N @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[7891,175]) ).

thf(8667,plain,
    ! [O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
       != ( O @ v1_relat_1 ) )
      | ( O @ ( N @ k8_relat_1 ) @ v1_relat_1 ) ),
    inference(simp,[status(thm)],[8666]) ).

thf(8668,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( N @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(pattern_uni,[status(thm)],[8667:[bind(A,$thf( P )),bind(B,$thf( R )),bind(C,$thf( T )),bind(D,$thf( V )),bind(E,$thf( X )),bind(F,$thf( Z )),bind(G,$thf( ZB )),bind(H,$thf( ZD )),bind(I,$thf( ZF )),bind(J,$thf( ZH )),bind(K,$thf( ZJ )),bind(L,$thf( ZL )),bind(M,$thf( ZN )),bind(N,$thf( N )),bind(O,$thf( k1_xboole_0 @ ( ZN @ k8_relat_1 ) @ ( ZL @ k8_relat_1 ) @ ( ZJ @ k8_relat_1 ) @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) ))]]) ).

thf(8693,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( N @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
    inference(simp,[status(thm)],[8668]) ).

thf(230,plain,
    ! [A: $i] :
      ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
      | ~ ( A @ l1_orders_2 )
      | ~ ( A @ v4_orders_2 ) ),
    inference(cnfConj,[status(thm)],[228]) ).

thf(127,axiom,
    ! [A: $i] :
      ( ( ( A @ v1_funct_1 )
        & ( A @ v1_xboole_0 )
        & ( A @ v1_relat_1 ) )
     => ( ( A @ v2_funct_1 )
        & ( A @ v1_funct_1 )
        & ( A @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).

thf(880,plain,
    ! [A: $i] :
      ( ( ( A @ v1_funct_1 )
        & ( A @ v1_xboole_0 )
        & ( A @ v1_relat_1 ) )
     => ( ( A @ v2_funct_1 )
        & ( A @ v1_funct_1 )
        & ( A @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( A @ v1_finset_1 )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( B @ v1_finset_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

thf(207,plain,
    ! [A: $i] :
      ( ( A @ v1_finset_1 )
     => ! [B: $i] :
          ( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
         => ( B @ v1_finset_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(208,plain,
    ! [B: $i,A: $i] :
      ( ( B @ v1_finset_1 )
      | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( A @ v1_finset_1 ) ),
    inference(cnf,[status(esa)],[207]) ).

thf(616,plain,
    sk24 @ v3_lattice3,
    inference(cnfConj,[status(thm)],[613]) ).

thf(303,plain,
    sk12 @ l1_orders_2,
    inference(cnfConj,[status(thm)],[299]) ).

thf(49,axiom,
    ! [A: $i] :
      ( ( A @ v1_xboole_0 )
     => ( A @ v1_funct_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).

thf(345,plain,
    ! [A: $i] :
      ( ( A @ v1_xboole_0 )
     => ( A @ v1_funct_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(535,plain,
    sk19 @ v1_yellow_0,
    inference(cnfConj,[status(thm)],[528]) ).

thf(46,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v3_lattice3 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
        & ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_waybel34) ).

thf(323,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v3_lattice3 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
        & ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(140,plain,
    sk1 @ v2_lattice3,
    inference(cnfConj,[status(thm)],[129]) ).

thf(621,plain,
    sk24 @ v3_orders_2,
    inference(cnfConj,[status(thm)],[613]) ).

thf(251,plain,
    sk10 @ v3_orders_2,
    inference(cnfConj,[status(thm)],[246]) ).

thf(1028,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ( sk14 != sk1 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,920]) ).

thf(1029,plain,
    ( ( sk14 != sk1 )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1028:[bind(A,$thf( sk14 ))]]) ).

thf(99,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ m1_yellow_0 ) )
        & ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_2) ).

thf(685,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ m1_yellow_0 ) )
        & ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(982,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( sk14 @ v1_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,909]) ).

thf(983,plain,
    ( ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk14 @ v1_lattice3 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[982:[bind(A,$thf( sk14 ))]]) ).

thf(101,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v2_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_waybel_0) ).

thf(695,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v25_waybel_0 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v2_lattice3 )
          & ( A @ v4_orders_2 )
          & ( A @ v2_orders_2 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(40,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_waybel_0) ).

thf(278,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(85,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel_8) ).

thf(608,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(306,plain,
    sk12 @ v2_orders_2,
    inference(cnfConj,[status(thm)],[299]) ).

thf(135,plain,
    sk1 @ v3_lattice3,
    inference(cnfConj,[status(thm)],[129]) ).

thf(73,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel21) ).

thf(505,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(167,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ ( A @ ( B @ sk3 ) @ m1_relset_1 ) ) ),
    inference(cnf,[status(esa)],[166]) ).

thf(215,plain,
    ~ ( sk9 @ v1_xboole_0 ),
    inference(cnfConj,[status(thm)],[214]) ).

thf(949,plain,
    ( ( ( sk27 @ v1_xboole_0 )
     != ( sk9 @ v1_xboole_0 ) )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[758,215]) ).

thf(950,plain,
    ( ( sk27 @ v1_xboole_0 )
   != ( sk9 @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[949]) ).

thf(951,plain,
    sk27 != sk9,
    inference(simp,[status(thm)],[950]) ).

thf(1213,plain,
    sk9 != k1_xboole_0,
    inference(rewrite,[status(thm)],[951,1094]) ).

thf(113,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
            & ( A @ ( B @ v7_waybel_1 ) )
            & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
            & ( B @ v1_funct_1 ) )
         => ( ( ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k1_waybel34 ) ) )
              = ( B @ ( A @ ( A @ k2_waybel_1 ) ) ) )
            & ( ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k2_waybel34 ) ) )
              = ( B @ ( A @ ( A @ k3_waybel_1 ) ) ) )
            & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v17_waybel_0 ) ) )
            & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v18_waybel_0 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_waybel34) ).

thf(768,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
            & ( A @ ( B @ v7_waybel_1 ) )
            & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
            & ( B @ v1_funct_1 ) )
         => ( ( ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k1_waybel34 ) ) )
              = ( B @ ( A @ ( A @ k2_waybel_1 ) ) ) )
            & ( ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k2_waybel34 ) ) )
              = ( B @ ( A @ ( A @ k3_waybel_1 ) ) ) )
            & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v17_waybel_0 ) ) )
            & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v18_waybel_0 ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(97,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel_1) ).

thf(675,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(1107,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ v3_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,135]) ).

thf(1108,plain,
    ( ( k1_xboole_0 @ v3_lattice3 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1107:[bind(A,$thf( sk1 ))]]) ).

thf(2269,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v3_lattice3 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1108]) ).

thf(2270,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v3_lattice3 ) ),
    inference(simp,[status(thm)],[2269]) ).

thf(2271,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ v3_lattice3 ) ),
    inference(simp,[status(thm)],[2270]) ).

thf(255,plain,
    sk10 @ l1_orders_2,
    inference(cnfConj,[status(thm)],[246]) ).

thf(1080,plain,
    ! [A: $i] :
      ( ( A != sk14 )
      | ( sk14 != sk10 )
      | ~ ( k1_xboole_0 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,919]) ).

thf(1081,plain,
    ( ( sk14 != sk10 )
    | ~ ( k1_xboole_0 @ v3_struct_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1080:[bind(A,$thf( sk14 ))]]) ).

thf(617,plain,
    sk24 @ v1_yellow_0,
    inference(cnfConj,[status(thm)],[613]) ).

thf(53,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_waybel_0) ).

thf(355,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(531,plain,
    sk19 @ v4_orders_2,
    inference(cnfConj,[status(thm)],[528]) ).

thf(92,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v4_waybel_1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ~ ( C @ v1_xboole_0 )
              & ( C @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel_1) ).

thf(648,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v4_waybel_1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ~ ( C @ v1_xboole_0 )
              & ( C @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(194,plain,
    ! [A: $i] :
      ( ( A @ sk5 @ v1_finset_1 )
      | ( A @ v1_xboole_0 ) ),
    inference(cnfConj,[status(thm)],[191]) ).

thf(114,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v5_orders_3 ) ) )
        & ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_partfun1 ) ) )
        & ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v2_funct_1 )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel_1) ).

thf(776,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v5_orders_3 ) ) )
        & ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_partfun1 ) ) )
        & ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v2_funct_1 )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(1002,plain,
    ! [A: $i] :
      ( ( A != sk19 )
      | ( k1_xboole_0 @ l1_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,542]) ).

thf(1003,plain,
    ( ( k1_xboole_0 @ l1_orders_2 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1002:[bind(A,$thf( sk19 ))]]) ).

thf(100,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v3_lattice3 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).

thf(690,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v3_lattice3 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v2_lattice3 )
          & ( A @ v1_lattice3 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(1024,plain,
    ! [A: $i] :
      ( ( A != sk19 )
      | ( k1_xboole_0 @ v2_orders_2 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,529]) ).

thf(1025,plain,
    ( ( k1_xboole_0 @ v2_orders_2 )
    | ~ ( sk19 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1024:[bind(A,$thf( sk19 ))]]) ).

thf(970,plain,
    ! [A: $i] :
      ( ( A != sk24 )
      | ( k1_xboole_0 @ v2_yellow_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,622]) ).

thf(971,plain,
    ( ( k1_xboole_0 @ v2_yellow_0 )
    | ~ ( sk24 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[970:[bind(A,$thf( sk24 ))]]) ).

thf(150,plain,
    ! [B: $i,A: $i] :
      ( ( B @ v2_membered )
      | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( A @ v3_membered ) ),
    inference(cnfConj,[status(thm)],[148]) ).

thf(1398,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v4_orders_2 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1104]) ).

thf(1399,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v4_orders_2 ) ),
    inference(simp,[status(thm)],[1398]) ).

thf(1400,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ v4_orders_2 ) ),
    inference(simp,[status(thm)],[1399]) ).

thf(707,plain,
    sk25 @ v1_funct_1,
    inference(cnfConj,[status(thm)],[705]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( A @ l1_struct_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).

thf(263,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( A @ l1_struct_0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(1097,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ( k1_xboole_0 @ v2_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,140]) ).

thf(1098,plain,
    ( ( k1_xboole_0 @ v2_lattice3 )
    | ~ ( sk1 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1097:[bind(A,$thf( sk1 ))]]) ).

thf(177,plain,
    sk4 @ l1_struct_0,
    inference(cnf,[status(esa)],[176]) ).

thf(68,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v4_yellow_0 ) )
           => ( ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v2_orders_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_yellow_0) ).

thf(470,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v4_yellow_0 ) )
           => ( ( A @ ( B @ v4_yellow_0 ) )
              & ( B @ v2_orders_2 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(118,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel_1) ).

thf(808,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(5507,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 )
      | ~ $true
      | ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[202,206]) ).

thf(5508,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
       != ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
      | ( D @ v1_relat_1 )
      | ( A @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[5507]) ).

thf(5509,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ k2_zfmisc_1 ) @ sk7 @ v1_relat_1 )
      | ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[5508:[bind(A,$thf( G @ ( F @ k2_zfmisc_1 ) )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( G @ ( F @ k2_zfmisc_1 ) @ sk7 ))]]) ).

thf(5542,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ k2_zfmisc_1 ) @ sk7 @ v1_relat_1 )
      | ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[5509]) ).

thf(5993,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ k2_zfmisc_1 ) @ sk7 @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
      | ~ $true
      | ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[5542,175]) ).

thf(5994,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ k2_zfmisc_1 ) @ sk7 @ v1_relat_1 )
       != ( D @ v1_relat_1 ) )
      | ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
      | ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[5993]) ).

thf(5995,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ k2_zfmisc_1 ) @ sk7 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
      | ( C @ ( B @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[5994:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( G @ ( F @ k2_zfmisc_1 ) @ sk7 ))]]) ).

thf(5998,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ k2_zfmisc_1 ) @ sk7 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
      | ( C @ ( B @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[5995]) ).

thf(990,plain,
    ! [A: $i] :
      ( ( A != sk30 )
      | ( k1_xboole_0 @ v2_funct_1 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,861]) ).

thf(991,plain,
    ( ( k1_xboole_0 @ v2_funct_1 )
    | ~ ( sk30 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[990:[bind(A,$thf( sk30 ))]]) ).

thf(2863,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[196,181]) ).

thf(2864,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
       != ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
      | ( C @ ( B @ r1_tarski ) ) ),
    inference(simp,[status(thm)],[2863]) ).

thf(2865,plain,
    ! [A: $i] : ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) ),
    inference(pattern_uni,[status(thm)],[2864:[bind(A,$thf( E @ k1_zfmisc_1 )),bind(B,$thf( E @ k1_zfmisc_1 @ sk6 )),bind(C,$thf( E ))]]) ).

thf(2875,plain,
    ! [A: $i] : ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) ),
    inference(simp,[status(thm)],[2865]) ).

thf(65,axiom,
    ! [A: $i] :
      ( ( A @ l1_struct_0 )
     => ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel10) ).

thf(450,plain,
    ! [A: $i] :
      ( ( A @ l1_struct_0 )
     => ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(78,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v4_yellow_0 ) )
          & ( B @ v1_orders_2 )
          & ~ ( B @ v3_struct_0 )
          & ( A @ ( B @ m1_yellow_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_yellow_0) ).

thf(556,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ? [B: $i] :
          ( ( A @ ( B @ v4_yellow_0 ) )
          & ( B @ v1_orders_2 )
          & ~ ( B @ v3_struct_0 )
          & ( A @ ( B @ m1_yellow_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(203,plain,
    ! [A: $i] :
      ( ~ ( A @ sk7 @ v1_xboole_0 )
      | ( A @ v1_xboole_0 ) ),
    inference(cnfConj,[status(thm)],[201]) ).

thf(96,axiom,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v3_lattice3 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v3_yellow_0 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_yellow_0) ).

thf(671,plain,
    ! [A: $i] :
      ( ( A @ l1_orders_2 )
     => ( ( ( A @ v3_lattice3 )
          & ~ ( A @ v3_struct_0 ) )
       => ( ( A @ v3_yellow_0 )
          & ~ ( A @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(1557,plain,
    ! [B: $i,A: $i] :
      ( ( A != sk14 )
      | ( B != sk1 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( B @ v1_xboole_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[165,920]) ).

thf(1558,plain,
    ! [A: $i] :
      ( ( A != sk1 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 )
      | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1557:[bind(A,$thf( sk14 ))]]) ).

thf(1998,plain,
    ( ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk1 @ v1_xboole_0 )
    | ~ ( sk14 @ v1_xboole_0 ) ),
    inference(simp,[status(thm)],[1558]) ).

thf(250,plain,
    sk10 @ v2_lattice3,
    inference(cnfConj,[status(thm)],[246]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v7_yellow_0 ) )
           => ~ ( B @ v3_struct_0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_waybel10) ).

thf(231,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v7_yellow_0 ) )
           => ~ ( B @ v3_struct_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(218,plain,
    ! [B: $i,A: $i] :
      ( ( B @ v1_membered )
      | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( A @ v1_membered ) ),
    inference(cnf,[status(esa)],[217]) ).

thf(3723,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1057]) ).

thf(3724,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) ) ),
    inference(simp,[status(thm)],[3723]) ).

thf(3725,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) ) ),
    inference(simp,[status(thm)],[3724]) ).

thf(122,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( ( B @ l1_orders_2 )
            & ( B @ v3_lattice3 )
            & ( B @ v2_lattice3 )
            & ( B @ v1_lattice3 )
            & ( B @ v4_orders_2 )
            & ( B @ v3_orders_2 )
            & ( B @ v2_orders_2 ) )
         => ! [C: $i] :
              ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
                & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
                & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
                & ( C @ v1_funct_1 ) )
             => ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
               => ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_waybel34 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_waybel34) ).

thf(844,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ! [B: $i] :
          ( ( ( B @ l1_orders_2 )
            & ( B @ v3_lattice3 )
            & ( B @ v2_lattice3 )
            & ( B @ v1_lattice3 )
            & ( B @ v4_orders_2 )
            & ( B @ v3_orders_2 )
            & ( B @ v2_orders_2 ) )
         => ! [C: $i] :
              ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
                & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
                & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
                & ( C @ v1_funct_1 ) )
             => ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
               => ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_waybel34 ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(2281,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v1_lattice3 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1136]) ).

thf(2282,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v1_lattice3 ) ),
    inference(simp,[status(thm)],[2281]) ).

thf(2283,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ v1_lattice3 ) ),
    inference(simp,[status(thm)],[2282]) ).

thf(109,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_lattice3 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_waybel_8) ).

thf(748,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 ) )
     => ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_lattice3 )
        & ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
        & ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(304,plain,
    sk12 @ v3_lattice3,
    inference(cnfConj,[status(thm)],[299]) ).

thf(36,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ m2_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel34) ).

thf(258,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ m2_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(158,plain,
    ! [B: $i,A: $i] :
      ( ( B @ v1_membered )
      | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( A @ v2_membered ) ),
    inference(cnfConj,[status(thm)],[157]) ).

thf(42,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ? [C: $i] :
          ( ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattice5) ).

thf(290,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ? [C: $i] :
          ( ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
          & ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
          & ( C @ v1_funct_1 )
          & ( C @ v1_relat_1 )
          & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(234,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v5_orders_3 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v4_waybel_1 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v21_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v19_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v17_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_partfun1 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ~ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_xboole_0 )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) )
      & ( ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_relat_1 )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
        | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        | ~ ( C @ v1_funct_1 )
        | ~ ( B @ l1_orders_2 )
        | ~ ( B @ v3_lattice3 )
        | ~ ( B @ v2_lattice3 )
        | ~ ( B @ v1_lattice3 )
        | ~ ( B @ v4_orders_2 )
        | ~ ( B @ v3_orders_2 )
        | ~ ( B @ v2_orders_2 )
        | ~ ( A @ l1_orders_2 )
        | ~ ( A @ v3_lattice3 )
        | ~ ( A @ v2_lattice3 )
        | ~ ( A @ v1_lattice3 )
        | ~ ( A @ v4_orders_2 )
        | ~ ( A @ v3_orders_2 )
        | ~ ( A @ v2_orders_2 ) ) ),
    inference(cnf,[status(esa)],[233]) ).

thf(235,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v5_orders_3 ) ) )
      | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
      | ~ ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
      | ~ ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
      | ~ ( C @ v1_funct_1 )
      | ~ ( B @ l1_orders_2 )
      | ~ ( B @ v3_lattice3 )
      | ~ ( B @ v2_lattice3 )
      | ~ ( B @ v1_lattice3 )
      | ~ ( B @ v4_orders_2 )
      | ~ ( B @ v3_orders_2 )
      | ~ ( B @ v2_orders_2 )
      | ~ ( A @ l1_orders_2 )
      | ~ ( A @ v3_lattice3 )
      | ~ ( A @ v2_lattice3 )
      | ~ ( A @ v1_lattice3 )
      | ~ ( A @ v4_orders_2 )
      | ~ ( A @ v3_orders_2 )
      | ~ ( A @ v2_orders_2 ) ),
    inference(cnfConj,[status(thm)],[234]) ).

thf(74,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v3_lattice3 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_orders_3 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_waybel_1 ) ) )
        & ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v22_waybel_0 ) ) )
        & ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v20_waybel_0 ) ) )
        & ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v18_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel34) ).

thf(510,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v3_lattice3 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_orders_3 ) ) )
        & ( B @ ( A @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_waybel_1 ) ) )
        & ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v22_waybel_0 ) ) )
        & ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v20_waybel_0 ) ) )
        & ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v18_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
        & ~ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_xboole_0 )
        & ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 )
        & ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(151,plain,
    ! [B: $i,A: $i] :
      ( ( B @ v3_membered )
      | ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
      | ~ ( A @ v3_membered ) ),
    inference(cnfConj,[status(thm)],[148]) ).

thf(300,plain,
    sk12 @ v3_orders_2,
    inference(cnfConj,[status(thm)],[299]) ).

thf(1393,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v2_lattice3 )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[1212,1098]) ).

thf(1394,plain,
    ( ( ( sk1 @ v1_xboole_0 )
     != ( k1_xboole_0 @ v1_xboole_0 ) )
    | ( k1_xboole_0 @ v2_lattice3 ) ),
    inference(simp,[status(thm)],[1393]) ).

thf(1395,plain,
    ( ( sk1 != k1_xboole_0 )
    | ( k1_xboole_0 @ v2_lattice3 ) ),
    inference(simp,[status(thm)],[1394]) ).

thf(39,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ m2_relset_1 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).

thf(273,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ( B @ v2_lattice3 )
        & ( B @ v1_lattice3 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ( A @ l1_orders_2 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ m2_relset_1 ) ) )
        & ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(998,plain,
    ! [A: $i] :
      ( ( A != sk24 )
      | ( k1_xboole_0 @ v3_yellow_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,619]) ).

thf(999,plain,
    ( ( k1_xboole_0 @ v3_yellow_0 )
    | ~ ( sk24 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[998:[bind(A,$thf( sk24 ))]]) ).

thf(620,plain,
    sk24 @ v4_orders_2,
    inference(cnfConj,[status(thm)],[613]) ).

thf(116,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v23_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v2_funct_1 )
              & ( C @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc8_waybel_0) ).

thf(790,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( B @ ( A @ ( C @ v23_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v2_funct_1 )
              & ( C @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(305,plain,
    sk12 @ v4_orders_2,
    inference(cnfConj,[status(thm)],[299]) ).

thf(136,plain,
    ~ ( sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ ( sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_waybel_1 ) ) @ v1_waybel34 ) ) ),
    inference(cnfConj,[status(thm)],[129]) ).

thf(48,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ v1_funct_1 )
        & ( B @ v1_relat_1 ) )
     => ( ( B @ ( A @ k8_relat_1 ) @ v1_funct_1 )
        & ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).

thf(341,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ v1_funct_1 )
        & ( B @ v1_relat_1 ) )
     => ( ( B @ ( A @ k8_relat_1 ) @ v1_funct_1 )
        & ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(69,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel_1) ).

thf(474,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(94,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v7_yellow_0 ) )
           => ( A @ ( B @ v3_waybel_0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel_0) ).

thf(664,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ ( B @ m1_yellow_0 ) )
         => ( ( A @ ( B @ v7_yellow_0 ) )
           => ( A @ ( B @ v3_waybel_0 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(1032,plain,
    ! [A: $i] :
      ( ( A != sk10 )
      | ( k1_xboole_0 @ v1_lattice3 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,248]) ).

thf(1033,plain,
    ( ( k1_xboole_0 @ v1_lattice3 )
    | ~ ( sk10 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1032:[bind(A,$thf( sk10 ))]]) ).

thf(532,plain,
    sk19 @ v24_waybel_0,
    inference(cnfConj,[status(thm)],[528]) ).

thf(117,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel_1) ).

thf(796,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
        & ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
        & ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
        & ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
        & ( A @ k7_grcat_1 @ v2_funct_1 )
        & ( A @ k7_grcat_1 @ v1_funct_1 )
        & ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(860,plain,
    sk30 @ v1_funct_1,
    inference(cnfConj,[status(thm)],[858]) ).

thf(131,plain,
    sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ m2_relset_1 ) ),
    inference(cnfConj,[status(thm)],[129]) ).

thf(126,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ ( C @ v5_waybel_1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ~ ( C @ v1_xboole_0 )
              & ( C @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_waybel_1) ).

thf(871,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ l1_orders_2 )
        & ( B @ v4_orders_2 )
        & ( B @ v3_orders_2 )
        & ( B @ v2_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [C: $i] :
          ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ ( C @ v5_waybel_1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ( C @ v1_funct_1 ) )
           => ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
              & ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
              & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
              & ~ ( C @ v1_xboole_0 )
              & ( C @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(624,plain,
    sk24 @ v2_lattice3,
    inference(cnfConj,[status(thm)],[613]) ).

thf(121,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ m2_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel_1) ).

thf(839,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ m2_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(354,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ ( A @ ( B @ sk15 ) @ m2_relset_1 ) ) ),
    inference(cnf,[status(esa)],[353]) ).

thf(1183,plain,
    ! [A: $i] :
      ( ( A != sk24 )
      | ( sk14 != k1_xboole_0 )
      | ~ ( sk14 @ v3_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,935]) ).

thf(1184,plain,
    ( ( sk14 != k1_xboole_0 )
    | ~ ( sk14 @ v3_struct_0 )
    | ~ ( sk24 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1183:[bind(A,$thf( sk24 ))]]) ).

thf(77,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
        & ( A @ ( B @ v7_waybel_1 ) )
        & ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
        & ( B @ v1_funct_1 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_waybel10) ).

thf(543,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
        & ( A @ ( B @ v7_waybel_1 ) )
        & ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
        & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
        & ( B @ v1_funct_1 )
        & ( A @ l1_orders_2 )
        & ( A @ v3_lattice3 )
        & ( A @ v2_lattice3 )
        & ( A @ v1_lattice3 )
        & ( A @ v4_orders_2 )
        & ( A @ v3_orders_2 )
        & ( A @ v2_orders_2 ) )
     => ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
        & ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
        & ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
        & ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(71,axiom,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ v7_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( B @ v6_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ~ ( B @ v1_xboole_0 )
              & ( B @ v1_funct_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_waybel_1) ).

thf(496,plain,
    ! [A: $i] :
      ( ( ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ! [B: $i] :
          ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
         => ( ( ( A @ ( B @ v7_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ( B @ v1_funct_1 ) )
           => ( ( A @ ( B @ v6_waybel_1 ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
              & ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
              & ~ ( B @ v1_xboole_0 )
              & ( B @ v1_funct_1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(254,plain,
    sk10 @ v1_orders_2,
    inference(cnfConj,[status(thm)],[246]) ).

thf(1008,plain,
    ! [A: $i] :
      ( ( A != sk8 )
      | ( k1_xboole_0 @ l1_struct_0 )
      | ~ ( A @ v1_xboole_0 ) ),
    inference(paramod_ordered,[status(thm)],[199,211]) ).

thf(1009,plain,
    ( ( k1_xboole_0 @ l1_struct_0 )
    | ~ ( sk8 @ v1_xboole_0 ) ),
    inference(pattern_uni,[status(thm)],[1008:[bind(A,$thf( sk8 ))]]) ).

thf(104,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ m2_relset_1 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel_1) ).

thf(708,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
        & ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
        & ( C @ v1_funct_1 )
        & ( B @ l1_orders_2 )
        & ~ ( B @ v3_struct_0 )
        & ( A @ l1_orders_2 )
        & ~ ( A @ v3_struct_0 ) )
     => ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ m2_relset_1 ) ) )
        & ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
        & ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(232,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ v3_struct_0 )
      | ~ ( A @ ( B @ v7_yellow_0 ) )
      | ~ ( A @ ( B @ m1_yellow_0 ) )
      | ~ ( A @ l1_orders_2 )
      | ~ ( A @ v3_lattice3 )
      | ~ ( A @ v2_lattice3 )
      | ~ ( A @ v1_lattice3 )
      | ~ ( A @ v4_orders_2 )
      | ~ ( A @ v3_orders_2 )
      | ~ ( A @ v2_orders_2 ) ),
    inference(cnf,[status(esa)],[231]) ).

thf(11689,plain,
    $false,
    inference(e,[status(thm)],[1322,347,3434,1083,352,2822,7304,365,1369,138,760,5857,2876,846,909,628,1031,249,666,4877,408,582,683,6463,5173,247,614,202,6791,1211,730,217,741,1073,861,3382,5565,142,2434,1327,1310,533,1063,340,538,153,174,185,5921,301,3878,389,1055,184,785,196,587,619,542,460,189,969,152,448,8126,5617,1013,284,216,5264,591,321,623,2925,2034,353,4556,821,211,646,253,2880,485,1136,147,221,132,396,133,428,4707,5824,527,206,981,2964,1104,265,307,233,529,3531,5545,381,534,1067,6092,1057,920,248,2673,4016,302,862,160,3069,192,137,165,3948,229,252,197,361,625,3349,522,1210,1027,7891,456,224,1360,8562,725,188,141,5687,7116,989,857,3105,3699,156,615,8009,256,2023,225,339,753,1182,642,5588,5547,1214,193,537,901,1075,212,706,701,1249,173,2697,371,622,837,1263,997,2125,985,503,605,128,633,205,541,657,5964,1035,8824,530,926,3476,134,906,618,166,161,1301,6546,149,375,601,6901,298,176,1007,402,7639,4381,204,562,975,5546,144,713,2753,919,181,8244,540,159,1258,704,979,187,172,219,1011,2257,8693,230,245,880,208,616,303,345,535,323,140,213,621,251,1029,155,1061,685,983,130,695,278,6151,4085,608,306,135,226,505,167,1213,768,3009,675,2271,255,1081,617,355,5652,162,531,648,3146,209,194,145,776,1003,690,1025,971,993,150,1400,707,263,1098,199,6981,177,7443,470,808,4802,5998,154,2722,612,143,991,175,1094,6301,859,2875,450,556,539,203,671,5386,7547,3188,4463,1108,1998,250,231,218,3725,844,2643,2283,748,304,258,186,139,6618,995,158,351,290,235,510,207,1212,536,2648,3585,151,300,168,146,1395,190,183,273,999,620,5477,790,305,136,341,195,474,664,1033,532,796,987,860,4987,131,200,178,6222,871,624,839,2640,5542,354,1184,6718,543,215,755,222,496,4298,1331,254,227,935,1009,708,232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LAT369+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.08/0.33  % Computer : n012.cluster.edu
% 0.08/0.33  % Model    : x86_64 x86_64
% 0.08/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33  % Memory   : 8046.5625MB
% 0.08/0.33  % OS       : Linux 6.8.0-71-generic
% 0.08/0.33  % CPULimit : 300
% 0.08/0.33  % WCLimit  : 300
% 0.08/0.33  % DateTime : Fri Sep 25 21:26:50 UTC 2026
% 0.08/0.33  % CPUTime  : 
% 0.08/0.33  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.52/0.64  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.03/0.81  % [INFO] 	 Parsing done (168ms). 
% 1.03/0.82  % [INFO] 	 Running in sequential loop mode. 
% 1.52/1.02  % [INFO] 	 eprover registered as external prover. 
% 1.52/1.03  % [INFO] 	 Scanning for conjecture ... 
% 1.52/1.12  % [INFO] 	 Found a conjecture (or negated_conjecture) and 144 axioms. Running axiom selection ... 
% 2.08/1.20  % [INFO] 	 Axiom selection finished. Selected 125 axioms (removed 19 axioms). 
% 2.47/1.31  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.47/1.33  % [INFO] 	 Type checking passed. 
% 2.47/1.33  % [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 ... 
% 100.35/29.35  % External prover 'e' found a proof!
% 100.35/29.35  % [INFO] 	 Killing All external provers ... 
% 100.35/29.35  % Time passed: 28938ms (effective reasoning time: 28532ms)
% 100.35/29.35  % 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)>
% 100.35/29.35  % Axioms used in derivation (125): d17_waybel_1, dt_l1_orders_2, fc10_waybel34, redefinition_m2_relset_1, dt_k7_grcat_1, cc1_waybel17, rc4_yellow_9, cc2_finset_1, cc1_waybel21, fc3_waybel_1, fc4_waybel10, dt_k1_waybel34, dt_k2_waybel_1, fc9_waybel34, cc7_waybel_0, fc10_waybel_8, fc3_waybel10, rc4_finset_1, t1_subset, rc2_waybel10, rc1_waybel21, rc2_yellow_0, fc5_waybel_1, fc2_yellow_2, rc1_waybel10, fc4_waybel_1, cc12_waybel_0, rc3_funct_1, rc3_waybel_1, cc1_waybel_0, cc1_lattice3, dt_m2_relset_1, rc3_yellow_0, cc14_waybel_0, cc11_waybel_0, rc13_waybel_0, rc1_funct_1, dt_u1_orders_2, cc3_waybel_1, rc1_lattice3, fc8_waybel_8, fc6_waybel_8, rc2_lattice3, t6_boole, fc2_waybel34, t5_subset, cc9_waybel_0, existence_m1_relset_1, fc7_waybel_8, d16_waybel_1, cc9_yellow_0, cc11_yellow_0, t4_subset, fc9_waybel_8, dt_k2_yellow_2, cc2_waybel_1, t7_boole, existence_l1_orders_2, cc1_funct_1, rc3_struct_0, fc1_waybel34, fc5_funct_1, cc13_waybel_0, dt_g1_orders_2, rc2_funct_1, cc4_membered, t40_waybel34, cc1_yellow_2, rc3_yellow_9, cc1_waybel10, cc6_yellow_0, cc18_membered, abstractness_v1_orders_2, cc4_yellow_0, fc10_waybel10, cc2_funct_1, t24_waybel34, t3_subset, cc1_relset_1, existence_m1_subset_1, cc2_waybel10, dt_k8_relat_1, rc1_waybel_1, t39_waybel34, fc15_waybel10, existence_m2_relset_1, free_g1_orders_2, fc1_struct_0, cc7_yellow_0, rc4_yellow_0, reflexivity_r1_tarski, fc2_waybel_1, rc2_waybel_1, cc17_membered, cc10_waybel_0, existence_m1_yellow_0, rc3_finset_1, cc6_waybel_0, dt_m1_yellow_0, cc5_yellow_0, rc1_finset_1, fc4_waybel_8, cc1_finset_1, cc4_waybel_1, cc1_yellow_0, t8_boole, rc5_struct_0, t2_subset, dt_k3_waybel_1, fc2_waybel10, cc8_waybel_0, cc2_lattice3, cc3_membered, fc6_waybel_1, existence_l1_struct_0, cc8_yellow_0, cc16_membered, rc1_lattice5, dt_k2_waybel34, fc14_finset_1, cc3_yellow_0, cc1_waybel_1, fc5_waybel_8, antisymmetry_r2_hidden, fc7_waybel_1
% 100.35/29.35  % No. of inferences in proof: 878
% 100.35/29.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 28938 ms resp. 28532 ms w/o parsing
% 90.68/29.57  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 90.68/29.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------