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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : TOP027+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:56:38 PM UTC 2026

% Result   : Theorem 5.41s 5.63s
% Output   : CNFRefutation 6.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  159
% Syntax   : Number of formulae    :  535 ( 125 unt;   0 def)
%            Number of atoms       : 1738 ( 151 equ)
%            Maximal formula atoms :   60 (   3 avg)
%            Number of connectives : 2075 ( 872   ~; 833   |; 267   &)
%                                         (   1 <=>; 102  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  23 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;   8 con; 0-3 aty)
%            Number of variables   :  887 (  57 sgn 257   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t6_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => ( v3_pre_topc(X3,X1)
                 => X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_tsp_2) ).

fof(t8_tsp_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_tsp_2) ).

fof(dt_k3_tex_4,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tex_4) ).

fof(rc7_pre_topc,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2)
          & v4_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_pre_topc) ).

fof(rc3_tops_1,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2)
          & v3_pre_topc(X2,X1)
          & v4_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_tops_1) ).

fof(rc5_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).

fof(antisymmetry_r2_hidden,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(rc1_subset_1,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
          & ~ v1_xboole_0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).

fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(fc1_subset_1,axiom,
    ! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).

fof(rc1_membered,axiom,
    ? [X1] :
      ( ~ v1_xboole_0(X1)
      & v1_membered(X1)
      & v2_membered(X1)
      & v3_membered(X1)
      & v4_membered(X1)
      & v5_membered(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).

fof(rc3_struct_0,axiom,
    ? [X1] :
      ( l1_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).

fof(dt_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1) ).

fof(commutativity_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k5_subset_1(X1,X2,X3) = k5_subset_1(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).

fof(redefinition_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).

fof(cc6_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( ( v3_pre_topc(X2,X1)
              & v3_tops_1(X2,X1) )
           => ( v1_xboole_0(X2)
              & v3_pre_topc(X2,X1)
              & v4_pre_topc(X2,X1)
              & v1_membered(X2)
              & v2_membered(X2)
              & v3_membered(X2)
              & v4_membered(X2)
              & v5_membered(X2)
              & v2_tops_1(X2,X1)
              & v3_tops_1(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_tops_1) ).

fof(cc5_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( ( v4_pre_topc(X2,X1)
              & v2_tops_1(X2,X1) )
           => ( v2_tops_1(X2,X1)
              & v3_tops_1(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_tops_1) ).

fof(fc10_tops_1,axiom,
    ! [X1,X2] :
      ( ( l1_pre_topc(X1)
        & v2_tops_1(X2,X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => ( v1_xboole_0(k1_tops_1(X1,X2))
        & v1_membered(k1_tops_1(X1,X2))
        & v2_membered(k1_tops_1(X1,X2))
        & v3_membered(k1_tops_1(X1,X2))
        & v4_membered(k1_tops_1(X1,X2))
        & v5_membered(k1_tops_1(X1,X2))
        & v2_tops_1(k1_tops_1(X1,X2),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_tops_1) ).

fof(idempotence_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k5_subset_1(X1,X2,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k5_subset_1) ).

fof(dt_k1_tops_1,axiom,
    ! [X1,X2] :
      ( ( l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tops_1) ).

fof(fc6_tops_1,axiom,
    ! [X1,X2] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => v3_pre_topc(k1_tops_1(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_tops_1) ).

fof(cc4_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v3_tops_1(X2,X1)
           => v2_tops_1(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_tops_1) ).

fof(cc1_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_xboole_0(X2)
           => ( v3_pre_topc(X2,X1)
              & v4_pre_topc(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_tops_1) ).

fof(cc3_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_xboole_0(X2)
           => v3_tops_1(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_tops_1) ).

fof(cc2_tops_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_xboole_0(X2)
           => v2_tops_1(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_tops_1) ).

fof(t4_subset,axiom,
    ! [X1,X2,X3] :
      ( ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3)) )
     => m1_subset_1(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).

fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).

fof(rc1_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & v3_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_tops_1) ).

fof(rc6_pre_topc,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & v4_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_pre_topc) ).

fof(rc5_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & v1_xboole_0(X2)
          & v3_pre_topc(X2,X1)
          & v4_pre_topc(X2,X1)
          & v1_membered(X2)
          & v2_membered(X2)
          & v3_membered(X2)
          & v4_membered(X2)
          & v5_membered(X2)
          & v2_tops_1(X2,X1)
          & v3_tops_1(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_tops_1) ).

fof(rc2_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & v3_pre_topc(X2,X1)
          & v4_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_tops_1) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
    <=> r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(rc4_tops_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & v1_xboole_0(X2)
          & v1_membered(X2)
          & v2_membered(X2)
          & v3_membered(X2)
          & v4_membered(X2)
          & v5_membered(X2)
          & v2_tops_1(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_tops_1) ).

fof(cc20_membered,axiom,
    ! [X1] :
      ( v5_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
         => ( v1_membered(X2)
            & v2_membered(X2)
            & v3_membered(X2)
            & v4_membered(X2)
            & v5_membered(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).

fof(cc19_membered,axiom,
    ! [X1] :
      ( v4_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
         => ( v1_membered(X2)
            & v2_membered(X2)
            & v3_membered(X2)
            & v4_membered(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc19_membered) ).

fof(cc18_membered,axiom,
    ! [X1] :
      ( v3_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
         => ( v1_membered(X2)
            & v2_membered(X2)
            & v3_membered(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc18_membered) ).

fof(cc17_membered,axiom,
    ! [X1] :
      ( v2_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
         => ( v1_membered(X2)
            & v2_membered(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc17_membered) ).

fof(cc16_membered,axiom,
    ! [X1] :
      ( v1_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
         => v1_membered(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc16_membered) ).

fof(t2_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

fof(fc35_membered,axiom,
    ! [X1,X2] :
      ( v5_membered(X1)
     => ( v1_membered(k3_xboole_0(X1,X2))
        & v2_membered(k3_xboole_0(X1,X2))
        & v3_membered(k3_xboole_0(X1,X2))
        & v4_membered(k3_xboole_0(X1,X2))
        & v5_membered(k3_xboole_0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc35_membered) ).

fof(fc36_membered,axiom,
    ! [X1,X2] :
      ( v5_membered(X1)
     => ( v1_membered(k3_xboole_0(X2,X1))
        & v2_membered(k3_xboole_0(X2,X1))
        & v3_membered(k3_xboole_0(X2,X1))
        & v4_membered(k3_xboole_0(X2,X1))
        & v5_membered(k3_xboole_0(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc36_membered) ).

fof(fc33_membered,axiom,
    ! [X1,X2] :
      ( v4_membered(X1)
     => ( v1_membered(k3_xboole_0(X1,X2))
        & v2_membered(k3_xboole_0(X1,X2))
        & v3_membered(k3_xboole_0(X1,X2))
        & v4_membered(k3_xboole_0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc33_membered) ).

fof(fc34_membered,axiom,
    ! [X1,X2] :
      ( v4_membered(X1)
     => ( v1_membered(k3_xboole_0(X2,X1))
        & v2_membered(k3_xboole_0(X2,X1))
        & v3_membered(k3_xboole_0(X2,X1))
        & v4_membered(k3_xboole_0(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc34_membered) ).

fof(fc31_membered,axiom,
    ! [X1,X2] :
      ( v3_membered(X1)
     => ( v1_membered(k3_xboole_0(X1,X2))
        & v2_membered(k3_xboole_0(X1,X2))
        & v3_membered(k3_xboole_0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc31_membered) ).

fof(fc32_membered,axiom,
    ! [X1,X2] :
      ( v3_membered(X1)
     => ( v1_membered(k3_xboole_0(X2,X1))
        & v2_membered(k3_xboole_0(X2,X1))
        & v3_membered(k3_xboole_0(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc32_membered) ).

fof(fc29_membered,axiom,
    ! [X1,X2] :
      ( v2_membered(X1)
     => ( v1_membered(k3_xboole_0(X1,X2))
        & v2_membered(k3_xboole_0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc29_membered) ).

fof(fc30_membered,axiom,
    ! [X1,X2] :
      ( v2_membered(X1)
     => ( v1_membered(k3_xboole_0(X2,X1))
        & v2_membered(k3_xboole_0(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc30_membered) ).

fof(fc27_membered,axiom,
    ! [X1,X2] :
      ( v1_membered(X1)
     => v1_membered(k3_xboole_0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc27_membered) ).

fof(fc28_membered,axiom,
    ! [X1,X2] :
      ( v1_membered(X1)
     => v1_membered(k3_xboole_0(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc28_membered) ).

fof(t1_subset,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => m1_subset_1(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

fof(cc14_membered,axiom,
    ! [X1] :
      ( v5_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,X1)
         => ( v1_xcmplx_0(X2)
            & v4_ordinal2(X2)
            & v1_xreal_0(X2)
            & v1_int_1(X2)
            & v1_rat_1(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_membered) ).

fof(cc13_membered,axiom,
    ! [X1] :
      ( v4_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,X1)
         => ( v1_xcmplx_0(X2)
            & v1_xreal_0(X2)
            & v1_int_1(X2)
            & v1_rat_1(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_membered) ).

fof(cc12_membered,axiom,
    ! [X1] :
      ( v3_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,X1)
         => ( v1_xcmplx_0(X2)
            & v1_xreal_0(X2)
            & v1_rat_1(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_membered) ).

fof(cc11_membered,axiom,
    ! [X1] :
      ( v2_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,X1)
         => ( v1_xcmplx_0(X2)
            & v1_xreal_0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_membered) ).

fof(cc10_membered,axiom,
    ! [X1] :
      ( v1_membered(X1)
     => ! [X2] :
          ( m1_subset_1(X2,X1)
         => v1_xcmplx_0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_membered) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

fof(commutativity_k3_xboole_0,axiom,
    ! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).

fof(rc2_subset_1,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(t8_boole,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).

fof(idempotence_k3_xboole_0,axiom,
    ! [X1,X2] : k3_xboole_0(X1,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X1,X2] : r1_tarski(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(t2_boole,axiom,
    ! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

fof(cc15_membered,axiom,
    ! [X1] :
      ( v1_xboole_0(X1)
     => ( v1_membered(X1)
        & v2_membered(X1)
        & v3_membered(X1)
        & v4_membered(X1)
        & v5_membered(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).

fof(cc1_membered,axiom,
    ! [X1] :
      ( v5_membered(X1)
     => v4_membered(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_membered) ).

fof(cc2_membered,axiom,
    ! [X1] :
      ( v4_membered(X1)
     => v3_membered(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_membered) ).

fof(cc3_membered,axiom,
    ! [X1] :
      ( v3_membered(X1)
     => v2_membered(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_membered) ).

fof(cc4_membered,axiom,
    ! [X1] :
      ( v2_membered(X1)
     => v1_membered(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_membered) ).

fof(t6_boole,axiom,
    ! [X1] :
      ( v1_xboole_0(X1)
     => X1 = k1_xboole_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(existence_l1_struct_0,axiom,
    ? [X1] : l1_struct_0(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).

fof(existence_l1_pre_topc,axiom,
    ? [X1] : l1_pre_topc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_pre_topc) ).

fof(fc6_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).

fof(i_0_73,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => ( v3_pre_topc(X3,X1)
                 => X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t6_tsp_2]) ).

fof(i_0_74,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
           => ( v1_tsp_2(X2,X1)
             => ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
                 => k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_tsp_2])]) ).

fof(i_0_75,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(fof_simplification,[status(thm)],[dt_k3_tex_4]) ).

fof(i_0_76,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2)
          & v4_pre_topc(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[rc7_pre_topc]) ).

fof(i_0_77,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2)
          & v3_pre_topc(X2,X1)
          & v4_pre_topc(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[rc3_tops_1]) ).

fof(i_0_78,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2) ) ),
    inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).

fof(i_0_79,plain,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => ~ r2_hidden(X2,X1) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).

fof(i_0_80,plain,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
          & ~ v1_xboole_0(X2) ) ),
    inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).

fof(i_0_81,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).

fof(i_0_82,plain,
    ! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).

fof(i_0_83,plain,
    ? [X1] :
      ( ~ v1_xboole_0(X1)
      & v1_membered(X1)
      & v2_membered(X1)
      & v3_membered(X1)
      & v4_membered(X1)
      & v5_membered(X1) ),
    inference(fof_simplification,[status(thm)],[rc1_membered]) ).

fof(i_0_84,plain,
    ? [X1] :
      ( l1_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).

fof(i_0_85,plain,
    ! [X275,X276,X277] :
      ( v3_struct_0(X275)
      | ~ v2_pre_topc(X275)
      | ~ l1_pre_topc(X275)
      | ~ m1_subset_1(X276,k1_zfmisc_1(u1_struct_0(X275)))
      | ~ v1_tsp_2(X276,X275)
      | ~ m1_subset_1(X277,k1_zfmisc_1(u1_struct_0(X275)))
      | ~ v3_pre_topc(X277,X275)
      | X277 = k3_tex_4(X275,k5_subset_1(u1_struct_0(X275),X276,X277)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])])]) ).

fof(i_0_86,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & v1_tsp_2(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])])]) ).

fof(i_0_87,plain,
    ! [X264,X265,X266] :
      ( ~ m1_subset_1(X265,k1_zfmisc_1(X264))
      | ~ m1_subset_1(X266,k1_zfmisc_1(X264))
      | m1_subset_1(k5_subset_1(X264,X265,X266),k1_zfmisc_1(X264)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])]) ).

fof(i_0_88,plain,
    ! [X248,X249,X250] :
      ( ~ m1_subset_1(X249,k1_zfmisc_1(X248))
      | ~ m1_subset_1(X250,k1_zfmisc_1(X248))
      | k5_subset_1(X248,X249,X250) = k5_subset_1(X248,X250,X249) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k5_subset_1])]) ).

fof(i_0_89,plain,
    ! [X257,X258,X259] :
      ( ~ m1_subset_1(X258,k1_zfmisc_1(X257))
      | ~ m1_subset_1(X259,k1_zfmisc_1(X257))
      | k5_subset_1(X257,X258,X259) = k3_xboole_0(X258,X259) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).

fof(i_0_90,plain,
    ! [X175,X176] :
      ( ( v1_xboole_0(X176)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v3_pre_topc(X176,X175)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v4_pre_topc(X176,X175)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v1_membered(X176)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v2_membered(X176)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v3_membered(X176)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v4_membered(X176)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v5_membered(X176)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v2_tops_1(X176,X175)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) )
      & ( v3_tops_1(X176,X175)
        | ~ v3_pre_topc(X176,X175)
        | ~ v3_tops_1(X176,X175)
        | ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
        | ~ v2_pre_topc(X175)
        | ~ l1_pre_topc(X175) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_tops_1])])])]) ).

fof(i_0_91,plain,
    ! [X173,X174] :
      ( ( v2_tops_1(X174,X173)
        | ~ v4_pre_topc(X174,X173)
        | ~ v2_tops_1(X174,X173)
        | ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
        | ~ v2_pre_topc(X173)
        | ~ l1_pre_topc(X173) )
      & ( v3_tops_1(X174,X173)
        | ~ v4_pre_topc(X174,X173)
        | ~ v2_tops_1(X174,X173)
        | ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
        | ~ v2_pre_topc(X173)
        | ~ l1_pre_topc(X173) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_tops_1])])])]) ).

fof(i_0_92,plain,
    ! [X262,X263] :
      ( v3_struct_0(X262)
      | ~ l1_pre_topc(X262)
      | ~ m1_subset_1(X263,k1_zfmisc_1(u1_struct_0(X262)))
      | m1_subset_1(k3_tex_4(X262,X263),k1_zfmisc_1(u1_struct_0(X262))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).

fof(i_0_93,plain,
    ! [X177,X178] :
      ( ( v1_xboole_0(k1_tops_1(X177,X178))
        | ~ l1_pre_topc(X177)
        | ~ v2_tops_1(X178,X177)
        | ~ m1_subset_1(X178,k1_zfmisc_1(u1_struct_0(X177))) )
      & ( v1_membered(k1_tops_1(X177,X178))
        | ~ l1_pre_topc(X177)
        | ~ v2_tops_1(X178,X177)
        | ~ m1_subset_1(X178,k1_zfmisc_1(u1_struct_0(X177))) )
      & ( v2_membered(k1_tops_1(X177,X178))
        | ~ l1_pre_topc(X177)
        | ~ v2_tops_1(X178,X177)
        | ~ m1_subset_1(X178,k1_zfmisc_1(u1_struct_0(X177))) )
      & ( v3_membered(k1_tops_1(X177,X178))
        | ~ l1_pre_topc(X177)
        | ~ v2_tops_1(X178,X177)
        | ~ m1_subset_1(X178,k1_zfmisc_1(u1_struct_0(X177))) )
      & ( v4_membered(k1_tops_1(X177,X178))
        | ~ l1_pre_topc(X177)
        | ~ v2_tops_1(X178,X177)
        | ~ m1_subset_1(X178,k1_zfmisc_1(u1_struct_0(X177))) )
      & ( v5_membered(k1_tops_1(X177,X178))
        | ~ l1_pre_topc(X177)
        | ~ v2_tops_1(X178,X177)
        | ~ m1_subset_1(X178,k1_zfmisc_1(u1_struct_0(X177))) )
      & ( v2_tops_1(k1_tops_1(X177,X178),X177)
        | ~ l1_pre_topc(X177)
        | ~ v2_tops_1(X178,X177)
        | ~ m1_subset_1(X178,k1_zfmisc_1(u1_struct_0(X177))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_tops_1])])]) ).

fof(i_0_94,plain,
    ! [X251,X252,X253] :
      ( ~ m1_subset_1(X252,k1_zfmisc_1(X251))
      | ~ m1_subset_1(X253,k1_zfmisc_1(X251))
      | k5_subset_1(X251,X252,X252) = X252 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[idempotence_k5_subset_1])]) ).

fof(i_0_95,plain,
    ! [X260,X261] :
      ( ~ l1_pre_topc(X260)
      | ~ m1_subset_1(X261,k1_zfmisc_1(u1_struct_0(X260)))
      | m1_subset_1(k1_tops_1(X260,X261),k1_zfmisc_1(u1_struct_0(X260))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).

fof(i_0_96,plain,
    ! [X269,X270] :
      ( ~ v2_pre_topc(X269)
      | ~ l1_pre_topc(X269)
      | ~ m1_subset_1(X270,k1_zfmisc_1(u1_struct_0(X269)))
      | v3_pre_topc(k1_tops_1(X269,X270),X269) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])]) ).

fof(i_0_97,plain,
    ! [X171,X172] :
      ( ~ v2_pre_topc(X171)
      | ~ l1_pre_topc(X171)
      | ~ m1_subset_1(X172,k1_zfmisc_1(u1_struct_0(X171)))
      | ~ v3_tops_1(X172,X171)
      | v2_tops_1(X172,X171) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_tops_1])])]) ).

fof(i_0_98,plain,
    ! [X227,X228] :
      ( ( v3_pre_topc(X228,X227)
        | ~ v1_xboole_0(X228)
        | ~ m1_subset_1(X228,k1_zfmisc_1(u1_struct_0(X227)))
        | ~ v2_pre_topc(X227)
        | ~ l1_pre_topc(X227) )
      & ( v4_pre_topc(X228,X227)
        | ~ v1_xboole_0(X228)
        | ~ m1_subset_1(X228,k1_zfmisc_1(u1_struct_0(X227)))
        | ~ v2_pre_topc(X227)
        | ~ l1_pre_topc(X227) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_tops_1])])])]) ).

fof(i_0_99,plain,
    ! [X231,X232] :
      ( ~ v2_pre_topc(X231)
      | ~ l1_pre_topc(X231)
      | ~ m1_subset_1(X232,k1_zfmisc_1(u1_struct_0(X231)))
      | ~ v1_xboole_0(X232)
      | v3_tops_1(X232,X231) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_tops_1])])]) ).

fof(i_0_100,plain,
    ! [X229,X230] :
      ( ~ l1_pre_topc(X229)
      | ~ m1_subset_1(X230,k1_zfmisc_1(u1_struct_0(X229)))
      | ~ v1_xboole_0(X230)
      | v2_tops_1(X230,X229) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_tops_1])])]) ).

fof(i_0_101,plain,
    ! [X215,X216,X217] :
      ( ~ r2_hidden(X215,X216)
      | ~ m1_subset_1(X216,k1_zfmisc_1(X217))
      | m1_subset_1(X215,X217) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).

fof(i_0_102,plain,
    ! [X218,X219,X220] :
      ( ~ r2_hidden(X218,X219)
      | ~ m1_subset_1(X219,k1_zfmisc_1(X220))
      | ~ v1_xboole_0(X220) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).

fof(i_0_103,plain,
    ! [X210] :
      ( ( m1_subset_1(esk10_1(X210),k1_zfmisc_1(u1_struct_0(X210)))
        | v3_struct_0(X210)
        | ~ v2_pre_topc(X210)
        | ~ l1_pre_topc(X210) )
      & ( ~ v1_xboole_0(esk10_1(X210))
        | v3_struct_0(X210)
        | ~ v2_pre_topc(X210)
        | ~ l1_pre_topc(X210) )
      & ( v4_pre_topc(esk10_1(X210),X210)
        | v3_struct_0(X210)
        | ~ v2_pre_topc(X210)
        | ~ l1_pre_topc(X210) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])])])]) ).

fof(i_0_104,plain,
    ! [X202] :
      ( ( m1_subset_1(esk6_1(X202),k1_zfmisc_1(u1_struct_0(X202)))
        | v3_struct_0(X202)
        | ~ v2_pre_topc(X202)
        | ~ l1_pre_topc(X202) )
      & ( ~ v1_xboole_0(esk6_1(X202))
        | v3_struct_0(X202)
        | ~ v2_pre_topc(X202)
        | ~ l1_pre_topc(X202) )
      & ( v3_pre_topc(esk6_1(X202),X202)
        | v3_struct_0(X202)
        | ~ v2_pre_topc(X202)
        | ~ l1_pre_topc(X202) )
      & ( v4_pre_topc(esk6_1(X202),X202)
        | v3_struct_0(X202)
        | ~ v2_pre_topc(X202)
        | ~ l1_pre_topc(X202) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])])])]) ).

fof(i_0_105,plain,
    ! [X271] :
      ( ( m1_subset_1(esk18_1(X271),k1_zfmisc_1(u1_struct_0(X271)))
        | ~ v2_pre_topc(X271)
        | ~ l1_pre_topc(X271) )
      & ( v3_pre_topc(esk18_1(X271),X271)
        | ~ v2_pre_topc(X271)
        | ~ l1_pre_topc(X271) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc1_tops_1])])])]) ).

fof(i_0_106,plain,
    ! [X208] :
      ( ( m1_subset_1(esk9_1(X208),k1_zfmisc_1(u1_struct_0(X208)))
        | ~ v2_pre_topc(X208)
        | ~ l1_pre_topc(X208) )
      & ( v4_pre_topc(esk9_1(X208),X208)
        | ~ v2_pre_topc(X208)
        | ~ l1_pre_topc(X208) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc6_pre_topc])])])]) ).

fof(i_0_107,plain,
    ! [X206] :
      ( ( m1_subset_1(esk8_1(X206),k1_zfmisc_1(u1_struct_0(X206)))
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v1_xboole_0(esk8_1(X206))
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v3_pre_topc(esk8_1(X206),X206)
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v4_pre_topc(esk8_1(X206),X206)
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v1_membered(esk8_1(X206))
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v2_membered(esk8_1(X206))
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v3_membered(esk8_1(X206))
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v4_membered(esk8_1(X206))
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v5_membered(esk8_1(X206))
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v2_tops_1(esk8_1(X206),X206)
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) )
      & ( v3_tops_1(esk8_1(X206),X206)
        | ~ v2_pre_topc(X206)
        | ~ l1_pre_topc(X206) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc5_tops_1])])])]) ).

fof(i_0_108,plain,
    ! [X200] :
      ( ( m1_subset_1(esk5_1(X200),k1_zfmisc_1(u1_struct_0(X200)))
        | ~ v2_pre_topc(X200)
        | ~ l1_pre_topc(X200) )
      & ( v3_pre_topc(esk5_1(X200),X200)
        | ~ v2_pre_topc(X200)
        | ~ l1_pre_topc(X200) )
      & ( v4_pre_topc(esk5_1(X200),X200)
        | ~ v2_pre_topc(X200)
        | ~ l1_pre_topc(X200) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc2_tops_1])])])]) ).

fof(i_0_109,plain,
    ! [X239] :
      ( ( m1_subset_1(esk15_1(X239),k1_zfmisc_1(u1_struct_0(X239)))
        | v3_struct_0(X239)
        | ~ l1_struct_0(X239) )
      & ( ~ v1_xboole_0(esk15_1(X239))
        | v3_struct_0(X239)
        | ~ l1_struct_0(X239) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])])])]) ).

fof(i_0_110,plain,
    ! [X273,X274] :
      ( ( ~ m1_subset_1(X273,k1_zfmisc_1(X274))
        | r1_tarski(X273,X274) )
      & ( ~ r1_tarski(X273,X274)
        | m1_subset_1(X273,k1_zfmisc_1(X274)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).

fof(i_0_111,plain,
    ! [X204] :
      ( ( m1_subset_1(esk7_1(X204),k1_zfmisc_1(u1_struct_0(X204)))
        | ~ l1_pre_topc(X204) )
      & ( v1_xboole_0(esk7_1(X204))
        | ~ l1_pre_topc(X204) )
      & ( v1_membered(esk7_1(X204))
        | ~ l1_pre_topc(X204) )
      & ( v2_membered(esk7_1(X204))
        | ~ l1_pre_topc(X204) )
      & ( v3_membered(esk7_1(X204))
        | ~ l1_pre_topc(X204) )
      & ( v4_membered(esk7_1(X204))
        | ~ l1_pre_topc(X204) )
      & ( v5_membered(esk7_1(X204))
        | ~ l1_pre_topc(X204) )
      & ( v2_tops_1(esk7_1(X204),X204)
        | ~ l1_pre_topc(X204) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc4_tops_1])])])]) ).

fof(i_0_112,plain,
    ! [X145,X146] :
      ( ~ r2_hidden(X145,X146)
      | ~ r2_hidden(X146,X145) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_79])]) ).

fof(i_0_113,plain,
    ! [X166,X167] :
      ( ( v1_membered(X167)
        | ~ m1_subset_1(X167,k1_zfmisc_1(X166))
        | ~ v5_membered(X166) )
      & ( v2_membered(X167)
        | ~ m1_subset_1(X167,k1_zfmisc_1(X166))
        | ~ v5_membered(X166) )
      & ( v3_membered(X167)
        | ~ m1_subset_1(X167,k1_zfmisc_1(X166))
        | ~ v5_membered(X166) )
      & ( v4_membered(X167)
        | ~ m1_subset_1(X167,k1_zfmisc_1(X166))
        | ~ v5_membered(X166) )
      & ( v5_membered(X167)
        | ~ m1_subset_1(X167,k1_zfmisc_1(X166))
        | ~ v5_membered(X166) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc20_membered])])])]) ).

fof(i_0_114,plain,
    ! [X163,X164] :
      ( ( v1_membered(X164)
        | ~ m1_subset_1(X164,k1_zfmisc_1(X163))
        | ~ v4_membered(X163) )
      & ( v2_membered(X164)
        | ~ m1_subset_1(X164,k1_zfmisc_1(X163))
        | ~ v4_membered(X163) )
      & ( v3_membered(X164)
        | ~ m1_subset_1(X164,k1_zfmisc_1(X163))
        | ~ v4_membered(X163) )
      & ( v4_membered(X164)
        | ~ m1_subset_1(X164,k1_zfmisc_1(X163))
        | ~ v4_membered(X163) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc19_membered])])])]) ).

fof(i_0_115,plain,
    ! [X161,X162] :
      ( ( v1_membered(X162)
        | ~ m1_subset_1(X162,k1_zfmisc_1(X161))
        | ~ v3_membered(X161) )
      & ( v2_membered(X162)
        | ~ m1_subset_1(X162,k1_zfmisc_1(X161))
        | ~ v3_membered(X161) )
      & ( v3_membered(X162)
        | ~ m1_subset_1(X162,k1_zfmisc_1(X161))
        | ~ v3_membered(X161) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc18_membered])])])]) ).

fof(i_0_116,plain,
    ! [X159,X160] :
      ( ( v1_membered(X160)
        | ~ m1_subset_1(X160,k1_zfmisc_1(X159))
        | ~ v2_membered(X159) )
      & ( v2_membered(X160)
        | ~ m1_subset_1(X160,k1_zfmisc_1(X159))
        | ~ v2_membered(X159) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc17_membered])])])]) ).

fof(i_0_117,plain,
    ! [X157,X158] :
      ( ~ v1_membered(X157)
      | ~ m1_subset_1(X158,k1_zfmisc_1(X157))
      | v1_membered(X158) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc16_membered])])]) ).

fof(i_0_118,plain,
    ! [X241,X242] :
      ( ~ m1_subset_1(X241,X242)
      | v1_xboole_0(X242)
      | r2_hidden(X241,X242) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).

fof(i_0_119,plain,
    ! [X195,X196] :
      ( ( v1_membered(k3_xboole_0(X195,X196))
        | ~ v5_membered(X195) )
      & ( v2_membered(k3_xboole_0(X195,X196))
        | ~ v5_membered(X195) )
      & ( v3_membered(k3_xboole_0(X195,X196))
        | ~ v5_membered(X195) )
      & ( v4_membered(k3_xboole_0(X195,X196))
        | ~ v5_membered(X195) )
      & ( v5_membered(k3_xboole_0(X195,X196))
        | ~ v5_membered(X195) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc35_membered])])]) ).

fof(i_0_120,plain,
    ! [X197,X198] :
      ( ( v1_membered(k3_xboole_0(X198,X197))
        | ~ v5_membered(X197) )
      & ( v2_membered(k3_xboole_0(X198,X197))
        | ~ v5_membered(X197) )
      & ( v3_membered(k3_xboole_0(X198,X197))
        | ~ v5_membered(X197) )
      & ( v4_membered(k3_xboole_0(X198,X197))
        | ~ v5_membered(X197) )
      & ( v5_membered(k3_xboole_0(X198,X197))
        | ~ v5_membered(X197) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc36_membered])])]) ).

fof(i_0_121,plain,
    ! [X191,X192] :
      ( ( v1_membered(k3_xboole_0(X191,X192))
        | ~ v4_membered(X191) )
      & ( v2_membered(k3_xboole_0(X191,X192))
        | ~ v4_membered(X191) )
      & ( v3_membered(k3_xboole_0(X191,X192))
        | ~ v4_membered(X191) )
      & ( v4_membered(k3_xboole_0(X191,X192))
        | ~ v4_membered(X191) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc33_membered])])]) ).

fof(i_0_122,plain,
    ! [X193,X194] :
      ( ( v1_membered(k3_xboole_0(X194,X193))
        | ~ v4_membered(X193) )
      & ( v2_membered(k3_xboole_0(X194,X193))
        | ~ v4_membered(X193) )
      & ( v3_membered(k3_xboole_0(X194,X193))
        | ~ v4_membered(X193) )
      & ( v4_membered(k3_xboole_0(X194,X193))
        | ~ v4_membered(X193) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc34_membered])])]) ).

fof(i_0_123,plain,
    ! [X187,X188] :
      ( ( v1_membered(k3_xboole_0(X187,X188))
        | ~ v3_membered(X187) )
      & ( v2_membered(k3_xboole_0(X187,X188))
        | ~ v3_membered(X187) )
      & ( v3_membered(k3_xboole_0(X187,X188))
        | ~ v3_membered(X187) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc31_membered])])]) ).

fof(i_0_124,plain,
    ! [X189,X190] :
      ( ( v1_membered(k3_xboole_0(X190,X189))
        | ~ v3_membered(X189) )
      & ( v2_membered(k3_xboole_0(X190,X189))
        | ~ v3_membered(X189) )
      & ( v3_membered(k3_xboole_0(X190,X189))
        | ~ v3_membered(X189) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc32_membered])])]) ).

fof(i_0_125,plain,
    ! [X183,X184] :
      ( ( v1_membered(k3_xboole_0(X183,X184))
        | ~ v2_membered(X183) )
      & ( v2_membered(k3_xboole_0(X183,X184))
        | ~ v2_membered(X183) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc29_membered])])]) ).

fof(i_0_126,plain,
    ! [X185,X186] :
      ( ( v1_membered(k3_xboole_0(X186,X185))
        | ~ v2_membered(X185) )
      & ( v2_membered(k3_xboole_0(X186,X185))
        | ~ v2_membered(X185) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc30_membered])])]) ).

fof(i_0_127,plain,
    ! [X179,X180] :
      ( ~ v1_membered(X179)
      | v1_membered(k3_xboole_0(X179,X180)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc27_membered])]) ).

fof(i_0_128,plain,
    ! [X181,X182] :
      ( ~ v1_membered(X181)
      | v1_membered(k3_xboole_0(X182,X181)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc28_membered])]) ).

fof(i_0_129,plain,
    ! [X212,X213] :
      ( ~ r2_hidden(X212,X213)
      | m1_subset_1(X212,X213) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).

fof(i_0_130,plain,
    ! [X155,X156] :
      ( ( v1_xcmplx_0(X156)
        | ~ m1_subset_1(X156,X155)
        | ~ v5_membered(X155) )
      & ( v4_ordinal2(X156)
        | ~ m1_subset_1(X156,X155)
        | ~ v5_membered(X155) )
      & ( v1_xreal_0(X156)
        | ~ m1_subset_1(X156,X155)
        | ~ v5_membered(X155) )
      & ( v1_int_1(X156)
        | ~ m1_subset_1(X156,X155)
        | ~ v5_membered(X155) )
      & ( v1_rat_1(X156)
        | ~ m1_subset_1(X156,X155)
        | ~ v5_membered(X155) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc14_membered])])])]) ).

fof(i_0_131,plain,
    ! [X153,X154] :
      ( ( v1_xcmplx_0(X154)
        | ~ m1_subset_1(X154,X153)
        | ~ v4_membered(X153) )
      & ( v1_xreal_0(X154)
        | ~ m1_subset_1(X154,X153)
        | ~ v4_membered(X153) )
      & ( v1_int_1(X154)
        | ~ m1_subset_1(X154,X153)
        | ~ v4_membered(X153) )
      & ( v1_rat_1(X154)
        | ~ m1_subset_1(X154,X153)
        | ~ v4_membered(X153) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc13_membered])])])]) ).

fof(i_0_132,plain,
    ! [X151,X152] :
      ( ( v1_xcmplx_0(X152)
        | ~ m1_subset_1(X152,X151)
        | ~ v3_membered(X151) )
      & ( v1_xreal_0(X152)
        | ~ m1_subset_1(X152,X151)
        | ~ v3_membered(X151) )
      & ( v1_rat_1(X152)
        | ~ m1_subset_1(X152,X151)
        | ~ v3_membered(X151) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc12_membered])])])]) ).

fof(i_0_133,plain,
    ! [X149,X150] :
      ( ( v1_xcmplx_0(X150)
        | ~ m1_subset_1(X150,X149)
        | ~ v2_membered(X149) )
      & ( v1_xreal_0(X150)
        | ~ m1_subset_1(X150,X149)
        | ~ v2_membered(X149) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])]) ).

fof(i_0_134,plain,
    ! [X147,X148] :
      ( ~ v1_membered(X147)
      | ~ m1_subset_1(X148,X147)
      | v1_xcmplx_0(X148) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc10_membered])])]) ).

fof(i_0_135,plain,
    ! [X234] :
      ( ( m1_subset_1(esk12_1(X234),k1_zfmisc_1(X234))
        | v1_xboole_0(X234) )
      & ( ~ v1_xboole_0(esk12_1(X234))
        | v1_xboole_0(X234) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_80])])])]) ).

fof(i_0_136,plain,
    ! [X244,X245] :
      ( ~ r2_hidden(X244,X245)
      | ~ v1_xboole_0(X245) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

fof(i_0_137,plain,
    ! [X233] :
      ( v3_struct_0(X233)
      | ~ l1_struct_0(X233)
      | ~ v1_xboole_0(u1_struct_0(X233)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_81])]) ).

fof(i_0_138,plain,
    ! [X221,X222] : k3_xboole_0(X221,X222) = k3_xboole_0(X222,X221),
    inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).

fof(i_0_139,plain,
    ! [X236] :
      ( m1_subset_1(esk13_1(X236),k1_zfmisc_1(X236))
      & v1_xboole_0(esk13_1(X236)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).

fof(i_0_140,plain,
    ! [X255] : m1_subset_1(esk17_1(X255),X255),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

fof(i_0_141,plain,
    ! [X268] : ~ v1_xboole_0(k1_zfmisc_1(X268)),
    inference(variable_rename,[status(thm)],[i_0_82]) ).

fof(i_0_142,plain,
    ! [X246,X247] :
      ( ~ v1_xboole_0(X246)
      | X246 = X247
      | ~ v1_xboole_0(X247) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).

fof(i_0_143,plain,
    ! [X223] : k3_xboole_0(X223,X223) = X223,
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).

fof(i_0_144,plain,
    ! [X224] : r1_tarski(X224,X224),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).

fof(i_0_145,plain,
    ! [X214] : k3_xboole_0(X214,k1_xboole_0) = k1_xboole_0,
    inference(variable_rename,[status(thm)],[t2_boole]) ).

fof(i_0_146,plain,
    ! [X267] :
      ( ~ l1_pre_topc(X267)
      | l1_struct_0(X267) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).

fof(i_0_147,plain,
    ! [X226] :
      ( ( v1_membered(X226)
        | ~ v1_xboole_0(X226) )
      & ( v2_membered(X226)
        | ~ v1_xboole_0(X226) )
      & ( v3_membered(X226)
        | ~ v1_xboole_0(X226) )
      & ( v4_membered(X226)
        | ~ v1_xboole_0(X226) )
      & ( v5_membered(X226)
        | ~ v1_xboole_0(X226) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc15_membered])])]) ).

fof(i_0_148,plain,
    ! [X165] :
      ( ~ v5_membered(X165)
      | v4_membered(X165) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])]) ).

fof(i_0_149,plain,
    ! [X168] :
      ( ~ v4_membered(X168)
      | v3_membered(X168) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])]) ).

fof(i_0_150,plain,
    ! [X169] :
      ( ~ v3_membered(X169)
      | v2_membered(X169) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])]) ).

fof(i_0_151,plain,
    ! [X170] :
      ( ~ v2_membered(X170)
      | v1_membered(X170) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_membered])]) ).

fof(i_0_152,plain,
    ! [X243] :
      ( ~ v1_xboole_0(X243)
      | X243 = k1_xboole_0 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

fof(i_0_153,plain,
    ( ~ v1_xboole_0(esk4_0)
    & v1_membered(esk4_0)
    & v2_membered(esk4_0)
    & v3_membered(esk4_0)
    & v4_membered(esk4_0)
    & v5_membered(esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_83])]) ).

fof(i_0_154,plain,
    ( l1_struct_0(esk14_0)
    & ~ v3_struct_0(esk14_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_84])]) ).

fof(i_0_155,plain,
    l1_struct_0(esk11_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).

fof(i_0_156,plain,
    l1_pre_topc(esk16_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_pre_topc])]) ).

cnf(i_0_157,plain,
    ( v3_struct_0(X1)
    | X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v3_pre_topc(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_158,negated_conjecture,
    k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_159,plain,
    ( m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_87]),
    [final] ).

cnf(i_0_160,plain,
    ( k5_subset_1(X2,X1,X3) = k5_subset_1(X2,X3,X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_161,plain,
    ( k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_89]),
    [final] ).

cnf(i_0_162,plain,
    ( v4_pre_topc(X1,X2)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_163,plain,
    ( v2_tops_1(X1,X2)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_164,plain,
    ( v3_tops_1(X1,X2)
    | ~ v4_pre_topc(X1,X2)
    | ~ v2_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_91]),
    [final] ).

cnf(i_0_165,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_92]),
    [final] ).

cnf(i_0_166,plain,
    ( v2_tops_1(k1_tops_1(X1,X2),X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_tops_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_167,plain,
    ( k5_subset_1(X2,X1,X1) = X1
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_94]),
    [final] ).

cnf(i_0_168,plain,
    ( m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_169,plain,
    ( v1_xboole_0(X1)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_170,plain,
    ( v5_membered(X1)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_171,plain,
    ( v4_membered(X1)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_172,plain,
    ( v3_membered(X1)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_173,plain,
    ( v2_membered(X1)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_174,plain,
    ( v1_membered(X1)
    | ~ v3_pre_topc(X1,X2)
    | ~ v3_tops_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_175,plain,
    ( v1_xboole_0(k1_tops_1(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_tops_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_176,plain,
    ( v5_membered(k1_tops_1(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_tops_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_177,plain,
    ( v4_membered(k1_tops_1(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_tops_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_178,plain,
    ( v3_membered(k1_tops_1(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_tops_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_179,plain,
    ( v2_membered(k1_tops_1(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_tops_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_180,plain,
    ( v1_membered(k1_tops_1(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_tops_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_181,plain,
    ( v3_pre_topc(k1_tops_1(X1,X2),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_96]),
    [final] ).

cnf(i_0_182,plain,
    ( v2_tops_1(X2,X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v3_tops_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_97]),
    [final] ).

cnf(i_0_183,plain,
    ( v3_pre_topc(X1,X2)
    | ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_98]),
    [final] ).

cnf(i_0_184,plain,
    ( v4_pre_topc(X1,X2)
    | ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_98]),
    [final] ).

cnf(i_0_185,plain,
    ( v3_tops_1(X2,X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_99]),
    [final] ).

cnf(i_0_186,plain,
    ( v2_tops_1(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_100]),
    [final] ).

cnf(i_0_187,plain,
    ( m1_subset_1(X1,X3)
    | ~ r2_hidden(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_188,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ v1_xboole_0(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_189,plain,
    ( m1_subset_1(esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_190,plain,
    ( m1_subset_1(esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_191,plain,
    ( m1_subset_1(esk18_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_192,plain,
    ( m1_subset_1(esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_193,plain,
    ( m1_subset_1(esk8_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_194,plain,
    ( m1_subset_1(esk5_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_195,plain,
    ( m1_subset_1(esk15_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_196,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_110]),
    [final] ).

cnf(i_0_197,plain,
    ( m1_subset_1(esk7_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_198,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_112]),
    [final] ).

cnf(i_0_199,plain,
    ( v5_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_200,plain,
    ( v4_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_201,plain,
    ( v4_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_202,plain,
    ( v3_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_203,plain,
    ( v3_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_204,plain,
    ( v3_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_115]),
    [final] ).

cnf(i_0_205,plain,
    ( v2_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_206,plain,
    ( v2_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_207,plain,
    ( v2_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_115]),
    [final] ).

cnf(i_0_208,plain,
    ( v2_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v2_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_116]),
    [final] ).

cnf(i_0_209,plain,
    ( v1_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_210,plain,
    ( v1_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_211,plain,
    ( v1_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_115]),
    [final] ).

cnf(i_0_212,plain,
    ( v1_membered(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v2_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_116]),
    [final] ).

cnf(i_0_213,plain,
    ( v1_membered(X2)
    | ~ v1_membered(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_117]),
    [final] ).

cnf(i_0_214,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_110]),
    [final] ).

cnf(i_0_215,plain,
    ( v1_xboole_0(X2)
    | r2_hidden(X1,X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_118]),
    [final] ).

cnf(i_0_216,plain,
    ( v3_pre_topc(esk6_1(X1),X1)
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_217,plain,
    ( v4_pre_topc(esk10_1(X1),X1)
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_218,plain,
    ( v4_pre_topc(esk6_1(X1),X1)
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_219,plain,
    ( v5_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_119]),
    [final] ).

cnf(i_0_220,plain,
    ( v5_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_120]),
    [final] ).

cnf(i_0_221,plain,
    ( v4_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_119]),
    [final] ).

cnf(i_0_222,plain,
    ( v4_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_120]),
    [final] ).

cnf(i_0_223,plain,
    ( v4_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_121]),
    [final] ).

cnf(i_0_224,plain,
    ( v4_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_122]),
    [final] ).

cnf(i_0_225,plain,
    ( v3_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_119]),
    [final] ).

cnf(i_0_226,plain,
    ( v3_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_120]),
    [final] ).

cnf(i_0_227,plain,
    ( v3_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_121]),
    [final] ).

cnf(i_0_228,plain,
    ( v3_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_122]),
    [final] ).

cnf(i_0_229,plain,
    ( v3_membered(k3_xboole_0(X1,X2))
    | ~ v3_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_123]),
    [final] ).

cnf(i_0_230,plain,
    ( v3_membered(k3_xboole_0(X1,X2))
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_124]),
    [final] ).

cnf(i_0_231,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_119]),
    [final] ).

cnf(i_0_232,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_120]),
    [final] ).

cnf(i_0_233,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_121]),
    [final] ).

cnf(i_0_234,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_122]),
    [final] ).

cnf(i_0_235,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v3_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_123]),
    [final] ).

cnf(i_0_236,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_124]),
    [final] ).

cnf(i_0_237,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v2_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_125]),
    [final] ).

cnf(i_0_238,plain,
    ( v2_membered(k3_xboole_0(X1,X2))
    | ~ v2_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_126]),
    [final] ).

cnf(i_0_239,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_119]),
    [final] ).

cnf(i_0_240,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_120]),
    [final] ).

cnf(i_0_241,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_121]),
    [final] ).

cnf(i_0_242,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_122]),
    [final] ).

cnf(i_0_243,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v3_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_123]),
    [final] ).

cnf(i_0_244,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_124]),
    [final] ).

cnf(i_0_245,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v2_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_125]),
    [final] ).

cnf(i_0_246,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v2_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_126]),
    [final] ).

cnf(i_0_247,plain,
    ( v1_membered(k3_xboole_0(X1,X2))
    | ~ v1_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_127]),
    [final] ).

cnf(i_0_248,plain,
    ( v1_membered(k3_xboole_0(X2,X1))
    | ~ v1_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_128]),
    [final] ).

cnf(i_0_249,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_129]),
    [final] ).

cnf(i_0_250,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(esk10_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_251,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(esk6_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_252,plain,
    ( v3_pre_topc(esk18_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_253,plain,
    ( v3_pre_topc(esk8_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_254,plain,
    ( v3_pre_topc(esk5_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_255,plain,
    ( v4_pre_topc(esk9_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_256,plain,
    ( v4_pre_topc(esk8_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_257,plain,
    ( v4_pre_topc(esk5_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_258,plain,
    ( v2_tops_1(esk8_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_259,plain,
    ( v3_tops_1(esk8_1(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_260,plain,
    ( v4_ordinal2(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_261,plain,
    ( v1_int_1(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_262,plain,
    ( v1_int_1(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_131]),
    [final] ).

cnf(i_0_263,plain,
    ( v1_rat_1(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_264,plain,
    ( v1_rat_1(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_131]),
    [final] ).

cnf(i_0_265,plain,
    ( v1_rat_1(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_132]),
    [final] ).

cnf(i_0_266,plain,
    ( v1_xreal_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_267,plain,
    ( v1_xreal_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_131]),
    [final] ).

cnf(i_0_268,plain,
    ( v1_xreal_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_132]),
    [final] ).

cnf(i_0_269,plain,
    ( v1_xreal_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v2_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_133]),
    [final] ).

cnf(i_0_270,plain,
    ( v1_xcmplx_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v5_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_271,plain,
    ( v1_xcmplx_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v4_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_131]),
    [final] ).

cnf(i_0_272,plain,
    ( v1_xcmplx_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v3_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_132]),
    [final] ).

cnf(i_0_273,plain,
    ( v1_xcmplx_0(X1)
    | ~ m1_subset_1(X1,X2)
    | ~ v2_membered(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_133]),
    [final] ).

cnf(i_0_274,plain,
    ( v1_xcmplx_0(X2)
    | ~ v1_membered(X1)
    | ~ m1_subset_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_134]),
    [final] ).

cnf(i_0_275,plain,
    ( m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1))
    | v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_135]),
    [final] ).

cnf(i_0_276,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_136]),
    [final] ).

cnf(i_0_277,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(esk15_1(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_278,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_137]),
    [final] ).

cnf(i_0_279,plain,
    k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_138]),
    [final] ).

cnf(i_0_280,plain,
    ( v2_tops_1(esk7_1(X1),X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_281,plain,
    m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_139]),
    [final] ).

cnf(i_0_282,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_283,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_284,plain,
    ( v1_xboole_0(esk8_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_285,plain,
    ( v5_membered(esk8_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_286,plain,
    ( v4_membered(esk8_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_287,plain,
    ( v3_membered(esk8_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_288,plain,
    ( v2_membered(esk8_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_289,plain,
    ( v1_membered(esk8_1(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_290,plain,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(esk12_1(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_135]),
    [final] ).

cnf(i_0_291,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(split_conjunct,[status(thm)],[i_0_140]),
    [final] ).

cnf(i_0_292,plain,
    ( v1_xboole_0(esk7_1(X1))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_293,plain,
    ( v5_membered(esk7_1(X1))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_294,plain,
    ( v4_membered(esk7_1(X1))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_295,plain,
    ( v3_membered(esk7_1(X1))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_296,plain,
    ( v2_membered(esk7_1(X1))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_297,plain,
    ( v1_membered(esk7_1(X1))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_298,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_141]),
    [final] ).

cnf(i_0_299,plain,
    ( X1 = X2
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_142]),
    [final] ).

cnf(i_0_300,plain,
    k3_xboole_0(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_143]),
    [final] ).

cnf(i_0_301,plain,
    r1_tarski(X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_144]),
    [final] ).

cnf(i_0_302,plain,
    k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
    inference(split_conjunct,[status(thm)],[i_0_145]),
    [final] ).

cnf(i_0_303,plain,
    ( l1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_146]),
    [final] ).

cnf(i_0_304,plain,
    ( v5_membered(X1)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_305,plain,
    ( v4_membered(X1)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_306,plain,
    ( v4_membered(X1)
    | ~ v5_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_148]),
    [final] ).

cnf(i_0_307,plain,
    ( v3_membered(X1)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_308,plain,
    ( v3_membered(X1)
    | ~ v4_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_149]),
    [final] ).

cnf(i_0_309,plain,
    ( v2_membered(X1)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_310,plain,
    ( v2_membered(X1)
    | ~ v3_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_150]),
    [final] ).

cnf(i_0_311,plain,
    ( v1_membered(X1)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_312,plain,
    ( v1_membered(X1)
    | ~ v2_membered(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_151]),
    [final] ).

cnf(i_0_313,negated_conjecture,
    v1_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_314,plain,
    v1_xboole_0(esk13_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_139]),
    [final] ).

cnf(i_0_315,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_152]),
    [final] ).

cnf(i_0_316,plain,
    ~ v1_xboole_0(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_317,plain,
    ~ v3_struct_0(esk14_0),
    inference(split_conjunct,[status(thm)],[i_0_154]),
    [final] ).

cnf(i_0_318,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_319,plain,
    l1_struct_0(esk14_0),
    inference(split_conjunct,[status(thm)],[i_0_154]),
    [final] ).

cnf(i_0_320,plain,
    l1_struct_0(esk11_0),
    inference(split_conjunct,[status(thm)],[i_0_155]),
    [final] ).

cnf(i_0_321,plain,
    v1_xboole_0(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]),
    [final] ).

cnf(i_0_322,plain,
    v5_membered(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_323,plain,
    v5_membered(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]),
    [final] ).

cnf(i_0_324,plain,
    v4_membered(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_325,plain,
    v4_membered(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]),
    [final] ).

cnf(i_0_326,plain,
    v3_membered(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_327,plain,
    v3_membered(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]),
    [final] ).

cnf(i_0_328,plain,
    v2_membered(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_329,plain,
    v2_membered(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]),
    [final] ).

cnf(i_0_330,plain,
    v1_membered(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_331,plain,
    v1_membered(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]),
    [final] ).

cnf(i_0_332,plain,
    l1_pre_topc(esk16_0),
    inference(split_conjunct,[status(thm)],[i_0_156]),
    [final] ).

cnf(i_0_333,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_334,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_335,axiom,
    X1 = X1 ).

cnf(i_0_336,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_337,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_338,axiom,
    ( X1 != X2
    | k3_tex_4(X1,X3) = k3_tex_4(X2,X3) ) ).

cnf(i_0_339,axiom,
    ( X1 != X2
    | k3_tex_4(X3,X1) = k3_tex_4(X3,X2) ) ).

cnf(i_0_340,axiom,
    ( X1 != X2
    | k5_subset_1(X1,X3,X4) = k5_subset_1(X2,X3,X4) ) ).

cnf(i_0_341,axiom,
    ( X1 != X2
    | k5_subset_1(X3,X1,X4) = k5_subset_1(X3,X2,X4) ) ).

cnf(i_0_342,axiom,
    ( X1 != X2
    | k5_subset_1(X3,X4,X1) = k5_subset_1(X3,X4,X2) ) ).

cnf(i_0_343,axiom,
    ( X1 != X2
    | k1_tops_1(X1,X3) = k1_tops_1(X2,X3) ) ).

cnf(i_0_344,axiom,
    ( X1 != X2
    | k1_tops_1(X3,X1) = k1_tops_1(X3,X2) ) ).

cnf(i_0_345,axiom,
    ( X1 != X2
    | k3_xboole_0(X1,X3) = k3_xboole_0(X2,X3) ) ).

cnf(i_0_346,axiom,
    ( X1 != X2
    | k3_xboole_0(X3,X1) = k3_xboole_0(X3,X2) ) ).

cnf(i_0_347,axiom,
    ( X1 != X2
    | ~ v3_struct_0(X1)
    | v3_struct_0(X2) ) ).

cnf(i_0_348,axiom,
    ( X1 != X2
    | ~ v1_xboole_0(X1)
    | v1_xboole_0(X2) ) ).

cnf(i_0_349,axiom,
    ( X1 != X2
    | ~ v5_membered(X1)
    | v5_membered(X2) ) ).

cnf(i_0_350,axiom,
    ( X1 != X2
    | ~ v4_membered(X1)
    | v4_membered(X2) ) ).

cnf(i_0_351,axiom,
    ( X1 != X2
    | ~ v3_membered(X1)
    | v3_membered(X2) ) ).

cnf(i_0_352,axiom,
    ( X1 != X2
    | ~ v2_membered(X1)
    | v2_membered(X2) ) ).

cnf(i_0_353,axiom,
    ( X1 != X2
    | ~ v1_membered(X1)
    | v1_membered(X2) ) ).

cnf(i_0_354,axiom,
    ( X1 != X2
    | ~ r2_hidden(X1,X3)
    | r2_hidden(X2,X3) ) ).

cnf(i_0_355,axiom,
    ( X1 != X2
    | ~ r2_hidden(X3,X1)
    | r2_hidden(X3,X2) ) ).

cnf(i_0_356,axiom,
    ( X1 != X2
    | ~ l1_struct_0(X1)
    | l1_struct_0(X2) ) ).

cnf(i_0_357,axiom,
    ( X1 != X2
    | ~ r1_tarski(X1,X3)
    | r1_tarski(X2,X3) ) ).

cnf(i_0_358,axiom,
    ( X1 != X2
    | ~ r1_tarski(X3,X1)
    | r1_tarski(X3,X2) ) ).

cnf(i_0_359,axiom,
    ( X1 != X2
    | ~ v4_ordinal2(X1)
    | v4_ordinal2(X2) ) ).

cnf(i_0_360,axiom,
    ( X1 != X2
    | ~ v2_pre_topc(X1)
    | v2_pre_topc(X2) ) ).

cnf(i_0_361,axiom,
    ( X1 != X2
    | ~ v1_int_1(X1)
    | v1_int_1(X2) ) ).

cnf(i_0_362,axiom,
    ( X1 != X2
    | ~ v1_rat_1(X1)
    | v1_rat_1(X2) ) ).

cnf(i_0_363,axiom,
    ( X1 != X2
    | ~ v1_xreal_0(X1)
    | v1_xreal_0(X2) ) ).

cnf(i_0_364,axiom,
    ( X1 != X2
    | ~ v1_xcmplx_0(X1)
    | v1_xcmplx_0(X2) ) ).

cnf(i_0_365,axiom,
    ( X1 != X2
    | ~ l1_pre_topc(X1)
    | l1_pre_topc(X2) ) ).

cnf(i_0_366,axiom,
    ( X1 != X2
    | ~ m1_subset_1(X1,X3)
    | m1_subset_1(X2,X3) ) ).

cnf(i_0_367,axiom,
    ( X1 != X2
    | ~ m1_subset_1(X3,X1)
    | m1_subset_1(X3,X2) ) ).

cnf(i_0_368,axiom,
    ( X1 != X2
    | ~ v1_tsp_2(X1,X3)
    | v1_tsp_2(X2,X3) ) ).

cnf(i_0_369,axiom,
    ( X1 != X2
    | ~ v1_tsp_2(X3,X1)
    | v1_tsp_2(X3,X2) ) ).

cnf(i_0_370,axiom,
    ( X1 != X2
    | ~ v3_pre_topc(X1,X3)
    | v3_pre_topc(X2,X3) ) ).

cnf(i_0_371,axiom,
    ( X1 != X2
    | ~ v3_pre_topc(X3,X1)
    | v3_pre_topc(X3,X2) ) ).

cnf(i_0_372,axiom,
    ( X1 != X2
    | ~ v4_pre_topc(X1,X3)
    | v4_pre_topc(X2,X3) ) ).

cnf(i_0_373,axiom,
    ( X1 != X2
    | ~ v4_pre_topc(X3,X1)
    | v4_pre_topc(X3,X2) ) ).

cnf(i_0_374,axiom,
    ( X1 != X2
    | ~ v3_tops_1(X1,X3)
    | v3_tops_1(X2,X3) ) ).

cnf(i_0_375,axiom,
    ( X1 != X2
    | ~ v3_tops_1(X3,X1)
    | v3_tops_1(X3,X2) ) ).

cnf(i_0_376,axiom,
    ( X1 != X2
    | ~ v2_tops_1(X1,X3)
    | v2_tops_1(X2,X3) ) ).

cnf(i_0_377,axiom,
    ( X1 != X2
    | ~ v2_tops_1(X3,X1)
    | v2_tops_1(X3,X2) ) ).

cnf(i_0_335_001,axiom,
    X1 = X1 ).

cnf(i_0_336_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_337_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_338_004,axiom,
    ( X1 != X2
    | k3_tex_4(X1,X3) = k3_tex_4(X2,X3) ) ).

cnf(i_0_339_005,axiom,
    ( X1 != X2
    | k3_tex_4(X3,X1) = k3_tex_4(X3,X2) ) ).

cnf(i_0_340_006,axiom,
    ( X1 != X2
    | k5_subset_1(X1,X3,X4) = k5_subset_1(X2,X3,X4) ) ).

cnf(i_0_341_007,axiom,
    ( X1 != X2
    | k5_subset_1(X3,X1,X4) = k5_subset_1(X3,X2,X4) ) ).

cnf(i_0_342_008,axiom,
    ( X1 != X2
    | k5_subset_1(X3,X4,X1) = k5_subset_1(X3,X4,X2) ) ).

cnf(i_0_343_009,axiom,
    ( X1 != X2
    | k1_tops_1(X1,X3) = k1_tops_1(X2,X3) ) ).

cnf(i_0_344_010,axiom,
    ( X1 != X2
    | k1_tops_1(X3,X1) = k1_tops_1(X3,X2) ) ).

cnf(i_0_345_011,axiom,
    ( X1 != X2
    | k3_xboole_0(X1,X3) = k3_xboole_0(X2,X3) ) ).

cnf(i_0_346_012,axiom,
    ( X1 != X2
    | k3_xboole_0(X3,X1) = k3_xboole_0(X3,X2) ) ).

cnf(i_0_347_013,axiom,
    ( X1 != X2
    | ~ v3_struct_0(X1)
    | v3_struct_0(X2) ) ).

cnf(i_0_348_014,axiom,
    ( X1 != X2
    | ~ v1_xboole_0(X1)
    | v1_xboole_0(X2) ) ).

cnf(i_0_349_015,axiom,
    ( X1 != X2
    | ~ v5_membered(X1)
    | v5_membered(X2) ) ).

cnf(i_0_350_016,axiom,
    ( X1 != X2
    | ~ v4_membered(X1)
    | v4_membered(X2) ) ).

cnf(i_0_351_017,axiom,
    ( X1 != X2
    | ~ v3_membered(X1)
    | v3_membered(X2) ) ).

cnf(i_0_352_018,axiom,
    ( X1 != X2
    | ~ v2_membered(X1)
    | v2_membered(X2) ) ).

cnf(i_0_353_019,axiom,
    ( X1 != X2
    | ~ v1_membered(X1)
    | v1_membered(X2) ) ).

cnf(i_0_354_020,axiom,
    ( X1 != X2
    | ~ r2_hidden(X1,X3)
    | r2_hidden(X2,X3) ) ).

cnf(i_0_355_021,axiom,
    ( X1 != X2
    | ~ r2_hidden(X3,X1)
    | r2_hidden(X3,X2) ) ).

cnf(i_0_356_022,axiom,
    ( X1 != X2
    | ~ l1_struct_0(X1)
    | l1_struct_0(X2) ) ).

cnf(i_0_357_023,axiom,
    ( X1 != X2
    | ~ r1_tarski(X1,X3)
    | r1_tarski(X2,X3) ) ).

cnf(i_0_358_024,axiom,
    ( X1 != X2
    | ~ r1_tarski(X3,X1)
    | r1_tarski(X3,X2) ) ).

cnf(i_0_359_025,axiom,
    ( X1 != X2
    | ~ v4_ordinal2(X1)
    | v4_ordinal2(X2) ) ).

cnf(i_0_360_026,axiom,
    ( X1 != X2
    | ~ v2_pre_topc(X1)
    | v2_pre_topc(X2) ) ).

cnf(i_0_361_027,axiom,
    ( X1 != X2
    | ~ v1_int_1(X1)
    | v1_int_1(X2) ) ).

cnf(i_0_362_028,axiom,
    ( X1 != X2
    | ~ v1_rat_1(X1)
    | v1_rat_1(X2) ) ).

cnf(i_0_363_029,axiom,
    ( X1 != X2
    | ~ v1_xreal_0(X1)
    | v1_xreal_0(X2) ) ).

cnf(i_0_364_030,axiom,
    ( X1 != X2
    | ~ v1_xcmplx_0(X1)
    | v1_xcmplx_0(X2) ) ).

cnf(i_0_365_031,axiom,
    ( X1 != X2
    | ~ l1_pre_topc(X1)
    | l1_pre_topc(X2) ) ).

cnf(i_0_366_032,axiom,
    ( X1 != X2
    | ~ m1_subset_1(X1,X3)
    | m1_subset_1(X2,X3) ) ).

cnf(i_0_367_033,axiom,
    ( X1 != X2
    | ~ m1_subset_1(X3,X1)
    | m1_subset_1(X3,X2) ) ).

cnf(i_0_368_034,axiom,
    ( X1 != X2
    | ~ v1_tsp_2(X1,X3)
    | v1_tsp_2(X2,X3) ) ).

cnf(i_0_369_035,axiom,
    ( X1 != X2
    | ~ v1_tsp_2(X3,X1)
    | v1_tsp_2(X3,X2) ) ).

cnf(i_0_370_036,axiom,
    ( X1 != X2
    | ~ v3_pre_topc(X1,X3)
    | v3_pre_topc(X2,X3) ) ).

cnf(i_0_371_037,axiom,
    ( X1 != X2
    | ~ v3_pre_topc(X3,X1)
    | v3_pre_topc(X3,X2) ) ).

cnf(i_0_372_038,axiom,
    ( X1 != X2
    | ~ v4_pre_topc(X1,X3)
    | v4_pre_topc(X2,X3) ) ).

cnf(i_0_373_039,axiom,
    ( X1 != X2
    | ~ v4_pre_topc(X3,X1)
    | v4_pre_topc(X3,X2) ) ).

cnf(i_0_374_040,axiom,
    ( X1 != X2
    | ~ v3_tops_1(X1,X3)
    | v3_tops_1(X2,X3) ) ).

cnf(i_0_375_041,axiom,
    ( X1 != X2
    | ~ v3_tops_1(X3,X1)
    | v3_tops_1(X3,X2) ) ).

cnf(i_0_376_042,axiom,
    ( X1 != X2
    | ~ v2_tops_1(X1,X3)
    | v2_tops_1(X2,X3) ) ).

cnf(i_0_377_043,axiom,
    ( X1 != X2
    | ~ v2_tops_1(X3,X1)
    | v2_tops_1(X3,X2) ) ).

cnf(i_0_378,plain,
    r1_tarski(esk3_0,u1_struct_0(esk1_0)),
    inference(scs_inference,[],[i_0_282,i_0_196]) ).

cnf(i_0_379,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r1_tarski(X1,X2) ),
    inference(rename_variables,[],[i_0_196]) ).

cnf(i_0_380,plain,
    l1_struct_0(esk1_0),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_196,i_0_303]) ).

cnf(i_0_381,plain,
    ( ~ l1_pre_topc(X1)
    | l1_struct_0(X1) ),
    inference(rename_variables,[],[i_0_303]) ).

cnf(i_0_382,plain,
    X1 = k3_xboole_0(X1,X1),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_196,i_0_303,i_0_336]) ).

cnf(i_0_383,plain,
    ~ r2_hidden(X1,k1_xboole_0),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_196,i_0_303,i_0_336,i_0_276]) ).

cnf(i_0_384,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(rename_variables,[],[i_0_276]) ).

cnf(i_0_385,plain,
    v5_membered(esk13_1(X1)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304]) ).

cnf(i_0_386,plain,
    ( ~ v1_xboole_0(X1)
    | v5_membered(X1) ),
    inference(rename_variables,[],[i_0_304]) ).

cnf(i_0_387,plain,
    v4_membered(esk13_1(X1)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305]) ).

cnf(i_0_388,plain,
    ( ~ v1_xboole_0(X1)
    | v4_membered(X1) ),
    inference(rename_variables,[],[i_0_305]) ).

cnf(i_0_389,plain,
    v3_membered(esk13_1(X1)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307]) ).

cnf(i_0_390,plain,
    ( ~ v1_xboole_0(X1)
    | v3_membered(X1) ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_391,plain,
    v2_membered(esk13_1(X1)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309]) ).

cnf(i_0_392,plain,
    ( ~ v1_xboole_0(X1)
    | v2_membered(X1) ),
    inference(rename_variables,[],[i_0_309]) ).

cnf(i_0_393,plain,
    v1_membered(esk13_1(X1)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311]) ).

cnf(i_0_394,plain,
    ( ~ v1_xboole_0(X1)
    | v1_membered(X1) ),
    inference(rename_variables,[],[i_0_311]) ).

cnf(i_0_395,plain,
    m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159]) ).

cnf(i_0_396,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2)) ),
    inference(rename_variables,[],[i_0_159]) ).

cnf(i_0_397,plain,
    k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk3_0) = k3_xboole_0(esk3_0,esk3_0),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161]) ).

cnf(i_0_398,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3) ),
    inference(rename_variables,[],[i_0_161]) ).

cnf(i_0_399,plain,
    k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk3_0) = esk3_0,
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167]) ).

cnf(i_0_400,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | k5_subset_1(X2,X1,X1) = X1
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(rename_variables,[],[i_0_167]) ).

cnf(i_0_401,plain,
    m1_subset_1(k1_tops_1(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168]) ).

cnf(i_0_402,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | m1_subset_1(k1_tops_1(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X2) ),
    inference(rename_variables,[],[i_0_168]) ).

cnf(i_0_403,plain,
    ~ r2_hidden(X1,esk13_1(k1_xboole_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_321,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188]) ).

cnf(i_0_404,plain,
    m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1)),
    inference(rename_variables,[],[i_0_281]) ).

cnf(i_0_405,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v1_xboole_0(X2)
    | ~ r2_hidden(X3,X1) ),
    inference(rename_variables,[],[i_0_188]) ).

cnf(i_0_406,plain,
    v5_membered(esk17_1(k1_zfmisc_1(esk4_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_321,i_0_322,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199]) ).

cnf(i_0_407,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_408,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2)
    | v5_membered(X1) ),
    inference(rename_variables,[],[i_0_199]) ).

cnf(i_0_409,plain,
    v4_membered(esk17_1(k1_zfmisc_1(esk4_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_321,i_0_322,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200]) ).

cnf(i_0_410,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_411,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2)
    | v4_membered(X1) ),
    inference(rename_variables,[],[i_0_200]) ).

cnf(i_0_412,plain,
    v3_membered(esk17_1(k1_zfmisc_1(esk4_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_321,i_0_322,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202]) ).

cnf(i_0_413,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_414,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2)
    | v3_membered(X1) ),
    inference(rename_variables,[],[i_0_202]) ).

cnf(i_0_415,plain,
    v2_membered(esk17_1(k1_zfmisc_1(esk4_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_321,i_0_322,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205]) ).

cnf(i_0_416,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_417,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2)
    | v2_membered(X1) ),
    inference(rename_variables,[],[i_0_205]) ).

cnf(i_0_418,plain,
    v1_membered(esk17_1(k1_zfmisc_1(esk4_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_321,i_0_322,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209]) ).

cnf(i_0_419,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_420,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ v5_membered(X2)
    | v1_membered(X1) ),
    inference(rename_variables,[],[i_0_209]) ).

cnf(i_0_421,plain,
    r2_hidden(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_321,i_0_322,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215]) ).

cnf(i_0_422,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(rename_variables,[],[i_0_298]) ).

cnf(i_0_423,plain,
    ( ~ m1_subset_1(X1,X2)
    | v1_xboole_0(X2)
    | r2_hidden(X1,X2) ),
    inference(rename_variables,[],[i_0_215]) ).

cnf(i_0_424,plain,
    v4_ordinal2(esk17_1(esk4_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_321,i_0_322,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260]) ).

cnf(i_0_425,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_426,plain,
    ( ~ v5_membered(X1)
    | v4_ordinal2(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_260]) ).

cnf(i_0_427,plain,
    v1_int_1(esk17_1(esk4_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_321,i_0_322,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261]) ).

cnf(i_0_428,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_429,plain,
    ( ~ v5_membered(X1)
    | v1_int_1(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_261]) ).

cnf(i_0_430,plain,
    v1_int_1(esk17_1(k1_xboole_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262]) ).

cnf(i_0_431,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_432,plain,
    ( ~ v4_membered(X1)
    | v1_int_1(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_433,plain,
    v1_rat_1(esk17_1(esk4_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263]) ).

cnf(i_0_434,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_435,plain,
    ( ~ v5_membered(X1)
    | v1_rat_1(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_263]) ).

cnf(i_0_436,plain,
    v1_rat_1(esk17_1(k1_xboole_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264]) ).

cnf(i_0_437,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_438,plain,
    ( ~ v4_membered(X1)
    | v1_rat_1(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_264]) ).

cnf(i_0_439,plain,
    v1_rat_1(esk17_1(esk13_1(X1))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265]) ).

cnf(i_0_440,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_441,plain,
    ( ~ v3_membered(X1)
    | v1_rat_1(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_265]) ).

cnf(i_0_442,plain,
    v1_xreal_0(esk17_1(esk4_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266]) ).

cnf(i_0_443,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_444,plain,
    ( ~ v5_membered(X1)
    | v1_xreal_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_266]) ).

cnf(i_0_445,plain,
    v1_xreal_0(esk17_1(k1_xboole_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267]) ).

cnf(i_0_446,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_447,plain,
    ( ~ v4_membered(X1)
    | v1_xreal_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_448,plain,
    v1_xreal_0(esk17_1(esk13_1(X1))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268]) ).

cnf(i_0_449,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_450,plain,
    ( ~ v3_membered(X1)
    | v1_xreal_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_268]) ).

cnf(i_0_451,plain,
    v1_xreal_0(esk17_1(esk17_1(k1_zfmisc_1(esk4_0)))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269]) ).

cnf(i_0_452,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_453,plain,
    ( ~ v2_membered(X1)
    | v1_xreal_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_269]) ).

cnf(i_0_454,plain,
    v1_xcmplx_0(esk17_1(esk4_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270]) ).

cnf(i_0_455,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_456,plain,
    ( ~ v5_membered(X1)
    | v1_xcmplx_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_270]) ).

cnf(i_0_457,plain,
    v1_xcmplx_0(esk17_1(k1_xboole_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).

cnf(i_0_458,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_459,plain,
    ( ~ v4_membered(X1)
    | v1_xcmplx_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_271]) ).

cnf(i_0_460,plain,
    v1_xcmplx_0(esk17_1(esk13_1(X1))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272]) ).

cnf(i_0_461,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_462,plain,
    ( ~ v3_membered(X1)
    | v1_xcmplx_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_272]) ).

cnf(i_0_463,plain,
    v1_xcmplx_0(esk17_1(esk17_1(k1_zfmisc_1(esk4_0)))),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273]) ).

cnf(i_0_464,plain,
    m1_subset_1(esk17_1(X1),X1),
    inference(rename_variables,[],[i_0_291]) ).

cnf(i_0_465,plain,
    ( ~ v2_membered(X1)
    | v1_xcmplx_0(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(rename_variables,[],[i_0_273]) ).

cnf(i_0_466,plain,
    k3_xboole_0(k3_xboole_0(X1,k1_xboole_0),k3_xboole_0(X1,k1_xboole_0)) = k1_xboole_0,
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337]) ).

cnf(i_0_467,plain,
    k3_xboole_0(X1,X1) = X1,
    inference(rename_variables,[],[i_0_300]) ).

cnf(i_0_468,plain,
    k1_xboole_0 != esk4_0,
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348]) ).

cnf(i_0_469,plain,
    ~ r2_hidden(X1,k3_xboole_0(k1_xboole_0,k1_xboole_0)),
    inference(scs_inference,[],[i_0_333,i_0_282,i_0_300,i_0_467,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355]) ).

cnf(i_0_470,plain,
    k3_xboole_0(X1,X1) = X1,
    inference(rename_variables,[],[i_0_300]) ).

cnf(i_0_471,plain,
    m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(scs_inference,[],[i_0_318,i_0_333,i_0_282,i_0_300,i_0_467,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355,i_0_165]) ).

cnf(i_0_472,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | m1_subset_1(k3_tex_4(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X2)
    | v3_struct_0(X2) ),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_473,plain,
    v3_pre_topc(k1_tops_1(esk1_0,esk3_0),esk1_0),
    inference(scs_inference,[],[i_0_318,i_0_333,i_0_334,i_0_282,i_0_300,i_0_467,i_0_281,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355,i_0_165,i_0_181]) ).

cnf(i_0_474,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_pre_topc(k1_tops_1(X2,X1),X2)
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2) ),
    inference(rename_variables,[],[i_0_181]) ).

cnf(i_0_475,plain,
    v2_tops_1(esk13_1(u1_struct_0(esk1_0)),esk1_0),
    inference(scs_inference,[],[i_0_318,i_0_333,i_0_334,i_0_282,i_0_300,i_0_467,i_0_281,i_0_404,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355,i_0_165,i_0_181,i_0_186]) ).

cnf(i_0_476,plain,
    m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1)),
    inference(rename_variables,[],[i_0_281]) ).

cnf(i_0_477,plain,
    v1_xboole_0(esk13_1(X1)),
    inference(rename_variables,[],[i_0_314]) ).

cnf(i_0_478,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X2)
    | ~ v1_xboole_0(X1)
    | v2_tops_1(X1,X2) ),
    inference(rename_variables,[],[i_0_186]) ).

cnf(i_0_479,plain,
    v3_pre_topc(esk13_1(u1_struct_0(esk1_0)),esk1_0),
    inference(scs_inference,[],[i_0_318,i_0_333,i_0_334,i_0_282,i_0_300,i_0_467,i_0_281,i_0_404,i_0_476,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_477,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355,i_0_165,i_0_181,i_0_186,i_0_183]) ).

cnf(i_0_480,plain,
    m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1)),
    inference(rename_variables,[],[i_0_281]) ).

cnf(i_0_481,plain,
    v1_xboole_0(esk13_1(X1)),
    inference(rename_variables,[],[i_0_314]) ).

cnf(i_0_482,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_xboole_0(X1)
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2)
    | v3_pre_topc(X1,X2) ),
    inference(rename_variables,[],[i_0_183]) ).

cnf(i_0_483,plain,
    v4_pre_topc(esk13_1(u1_struct_0(esk1_0)),esk1_0),
    inference(scs_inference,[],[i_0_318,i_0_333,i_0_334,i_0_282,i_0_300,i_0_467,i_0_281,i_0_404,i_0_476,i_0_480,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_477,i_0_481,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355,i_0_165,i_0_181,i_0_186,i_0_183,i_0_184]) ).

cnf(i_0_484,plain,
    m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1)),
    inference(rename_variables,[],[i_0_281]) ).

cnf(i_0_485,plain,
    v1_xboole_0(esk13_1(X1)),
    inference(rename_variables,[],[i_0_314]) ).

cnf(i_0_486,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_xboole_0(X1)
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2)
    | v4_pre_topc(X1,X2) ),
    inference(rename_variables,[],[i_0_184]) ).

cnf(i_0_487,plain,
    v3_tops_1(esk13_1(u1_struct_0(esk1_0)),esk1_0),
    inference(scs_inference,[],[i_0_318,i_0_333,i_0_334,i_0_282,i_0_300,i_0_467,i_0_281,i_0_404,i_0_476,i_0_480,i_0_484,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_477,i_0_481,i_0_485,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355,i_0_165,i_0_181,i_0_186,i_0_183,i_0_184,i_0_185]) ).

cnf(i_0_488,plain,
    m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1)),
    inference(rename_variables,[],[i_0_281]) ).

cnf(i_0_489,plain,
    v1_xboole_0(esk13_1(X1)),
    inference(rename_variables,[],[i_0_314]) ).

cnf(i_0_490,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2)
    | ~ v1_xboole_0(X1)
    | v3_tops_1(X1,X2) ),
    inference(rename_variables,[],[i_0_185]) ).

cnf(i_0_491,plain,
    $false,
    inference(scs_inference,[],[i_0_158,i_0_313,i_0_318,i_0_333,i_0_334,i_0_282,i_0_283,i_0_300,i_0_467,i_0_281,i_0_404,i_0_476,i_0_480,i_0_484,i_0_291,i_0_407,i_0_410,i_0_413,i_0_416,i_0_419,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_455,i_0_458,i_0_461,i_0_316,i_0_321,i_0_322,i_0_325,i_0_298,i_0_314,i_0_477,i_0_481,i_0_485,i_0_302,i_0_196,i_0_303,i_0_336,i_0_276,i_0_304,i_0_305,i_0_307,i_0_309,i_0_311,i_0_159,i_0_161,i_0_167,i_0_168,i_0_188,i_0_199,i_0_200,i_0_202,i_0_205,i_0_209,i_0_215,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_337,i_0_348,i_0_355,i_0_165,i_0_181,i_0_186,i_0_183,i_0_184,i_0_185,i_0_157]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : TOP027+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34  % Computer : n011.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue May  5 09:55:47 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % start to proof: theBenchmark
% 5.41/5.63  % Version  : CSE_E---1.7
% 5.41/5.63  % Problem  : theBenchmark.p
% 5.41/5.63  % SZS status Theorem for theBenchmark.p
% 5.41/5.63  % SZS output start CNFRefutation
% See solution above
% 6.59/6.20  % Total time : 5.281s
%------------------------------------------------------------------------------