TSTP Solution File: TOP024+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : TOP024+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 : Fri Sep  1 05:57:18 EDT 2023

% Result   : Theorem 3.10s 1.16s
% Output   : CNFRefutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   77 (  20 unt;   0 def)
%            Number of atoms       :  261 (  58 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  310 ( 126   ~; 116   |;  45   &)
%                                         (   5 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   85 (   0 sgn;  46   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v1_tsp_2(X1,X0)
           => v1_tops_1(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_pre_topc(X0)
          & v2_pre_topc(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
           => ( v1_tsp_2(X1,X0)
             => v1_tops_1(X1,X0) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f25,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v1_tops_1(X1,X0)
          <=> u1_struct_0(X0) = k6_pre_topc(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tops_3) ).

fof(f26,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v1_tsp_2(X1,X0)
          <=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
              & v1_tsp_1(X1,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).

fof(f29,axiom,
    ! [X0] :
      ( l1_struct_0(X0)
     => m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_topc) ).

fof(f32,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

fof(f46,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => v1_tops_1(k2_pre_topc(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_tops_1) ).

fof(f60,axiom,
    ! [X0] :
      ( l1_struct_0(X0)
     => u1_struct_0(X0) = k2_pre_topc(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).

fof(f67,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_tex_4) ).

fof(f88,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ v1_tops_1(X1,X0)
          & v1_tsp_2(X1,X0)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f89,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ v1_tops_1(X1,X0)
          & v1_tsp_2(X1,X0)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f88]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( v1_tops_1(X1,X0)
          <=> u1_struct_0(X0) = k6_pre_topc(X0,X1) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( v1_tsp_2(X1,X0)
          <=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
              & v1_tsp_1(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( v1_tsp_2(X1,X0)
          <=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
              & v1_tsp_1(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f116,plain,
    ! [X0] :
      ( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f121,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f132,plain,
    ! [X0] :
      ( v1_tops_1(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f149,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k2_pre_topc(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f159,plain,
    ! [X0] :
      ( ! [X1] :
          ( k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f159]) ).

fof(f168,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ v1_tops_1(X1,X0)
            & v1_tsp_2(X1,X0)
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
        & l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ~ v1_tops_1(X1,sK2)
          & v1_tsp_2(X1,sK2)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2))) )
      & l1_pre_topc(sK2)
      & v2_pre_topc(sK2)
      & ~ v3_struct_0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ( ? [X1] :
        ( ~ v1_tops_1(X1,sK2)
        & v1_tsp_2(X1,sK2)
        & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2))) )
   => ( ~ v1_tops_1(sK3,sK2)
      & v1_tsp_2(sK3,sK2)
      & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ) ),
    introduced(choice_axiom,[]) ).

fof(f170,plain,
    ( ~ v1_tops_1(sK3,sK2)
    & v1_tsp_2(sK3,sK2)
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    & l1_pre_topc(sK2)
    & v2_pre_topc(sK2)
    & ~ v3_struct_0(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f89,f169,f168]) ).

fof(f172,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( v1_tops_1(X1,X0)
              | u1_struct_0(X0) != k6_pre_topc(X0,X1) )
            & ( u1_struct_0(X0) = k6_pre_topc(X0,X1)
              | ~ v1_tops_1(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f173,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( v1_tsp_2(X1,X0)
              | u1_struct_0(X0) != k3_tex_4(X0,X1)
              | ~ v1_tsp_1(X1,X0) )
            & ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
                & v1_tsp_1(X1,X0) )
              | ~ v1_tsp_2(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f174,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( v1_tsp_2(X1,X0)
              | u1_struct_0(X0) != k3_tex_4(X0,X1)
              | ~ v1_tsp_1(X1,X0) )
            & ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
                & v1_tsp_1(X1,X0) )
              | ~ v1_tsp_2(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f173]) ).

fof(f206,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f170]) ).

fof(f207,plain,
    v2_pre_topc(sK2),
    inference(cnf_transformation,[],[f170]) ).

fof(f208,plain,
    l1_pre_topc(sK2),
    inference(cnf_transformation,[],[f170]) ).

fof(f209,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f170]) ).

fof(f210,plain,
    v1_tsp_2(sK3,sK2),
    inference(cnf_transformation,[],[f170]) ).

fof(f211,plain,
    ~ v1_tops_1(sK3,sK2),
    inference(cnf_transformation,[],[f170]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( u1_struct_0(X0) = k6_pre_topc(X0,X1)
      | ~ v1_tops_1(X1,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( v1_tops_1(X1,X0)
      | u1_struct_0(X0) != k6_pre_topc(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( u1_struct_0(X0) = k3_tex_4(X0,X1)
      | ~ v1_tsp_2(X1,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f260,plain,
    ! [X0] :
      ( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f263,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f280,plain,
    ! [X0] :
      ( v1_tops_1(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f330,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k2_pre_topc(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_49,negated_conjecture,
    ~ v1_tops_1(sK3,sK2),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_50,negated_conjecture,
    v1_tsp_2(sK3,sK2),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_51,negated_conjecture,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_52,negated_conjecture,
    l1_pre_topc(sK2),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_53,negated_conjecture,
    v2_pre_topc(sK2),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_54,negated_conjecture,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_97,plain,
    ( k6_pre_topc(X0,X1) != u1_struct_0(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ l1_pre_topc(X0)
    | v1_tops_1(X1,X0) ),
    inference(cnf_transformation,[],[f256]) ).

cnf(c_98,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tops_1(X0,X1)
    | ~ l1_pre_topc(X1)
    | k6_pre_topc(X1,X0) = u1_struct_0(X1) ),
    inference(cnf_transformation,[],[f255]) ).

cnf(c_100,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_2(X0,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | k3_tex_4(X1,X0) = u1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f258]) ).

cnf(c_102,plain,
    ( ~ l1_struct_0(X0)
    | m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
    inference(cnf_transformation,[],[f260]) ).

cnf(c_105,plain,
    ( ~ l1_pre_topc(X0)
    | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f263]) ).

cnf(c_122,plain,
    ( ~ l1_pre_topc(X0)
    | v1_tops_1(k2_pre_topc(X0),X0) ),
    inference(cnf_transformation,[],[f280]) ).

cnf(c_172,plain,
    ( ~ l1_struct_0(X0)
    | u1_struct_0(X0) = k2_pre_topc(X0) ),
    inference(cnf_transformation,[],[f330]) ).

cnf(c_180,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | k6_pre_topc(X1,k3_tex_4(X1,X0)) = k6_pre_topc(X1,X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f338]) ).

cnf(c_1596,plain,
    ( X0 != sK3
    | X1 != sK2
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | k3_tex_4(X1,X0) = u1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_100]) ).

cnf(c_1597,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | k3_tex_4(sK2,sK3) = u1_struct_0(sK2)
    | v3_struct_0(sK2) ),
    inference(unflattening,[status(thm)],[c_1596]) ).

cnf(c_1598,plain,
    k3_tex_4(sK2,sK3) = u1_struct_0(sK2),
    inference(global_subsumption_just,[status(thm)],[c_1597,c_53,c_52,c_54,c_51,c_1597]) ).

cnf(c_1604,plain,
    ( k6_pre_topc(X0,X1) != u1_struct_0(X0)
    | X0 != sK2
    | X1 != sK3
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ l1_pre_topc(X0) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_97]) ).

cnf(c_1605,plain,
    ( k6_pre_topc(sK2,sK3) != u1_struct_0(sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    | ~ l1_pre_topc(sK2) ),
    inference(unflattening,[status(thm)],[c_1604]) ).

cnf(c_1606,plain,
    k6_pre_topc(sK2,sK3) != u1_struct_0(sK2),
    inference(global_subsumption_just,[status(thm)],[c_1605,c_52,c_51,c_1605]) ).

cnf(c_1620,plain,
    ( k2_pre_topc(X0) != X1
    | X0 != X2
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X0)
    | ~ l1_pre_topc(X2)
    | k6_pre_topc(X2,X1) = u1_struct_0(X2) ),
    inference(resolution_lifted,[status(thm)],[c_98,c_122]) ).

cnf(c_1621,plain,
    ( ~ m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
    | ~ l1_pre_topc(X0)
    | k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_1620]) ).

cnf(c_1623,plain,
    ( ~ l1_pre_topc(X0)
    | k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1621,c_105,c_102,c_1621]) ).

cnf(c_2076,plain,
    ( X0 != X1
    | ~ l1_pre_topc(X0)
    | u1_struct_0(X1) = k2_pre_topc(X1) ),
    inference(resolution_lifted,[status(thm)],[c_105,c_172]) ).

cnf(c_2077,plain,
    ( ~ l1_pre_topc(X0)
    | u1_struct_0(X0) = k2_pre_topc(X0) ),
    inference(unflattening,[status(thm)],[c_2076]) ).

cnf(c_2328,plain,
    ( X0 != sK2
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ l1_pre_topc(X0)
    | k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_180]) ).

cnf(c_2329,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
    | ~ l1_pre_topc(sK2)
    | k6_pre_topc(sK2,k3_tex_4(sK2,X0)) = k6_pre_topc(sK2,X0)
    | v3_struct_0(sK2) ),
    inference(unflattening,[status(thm)],[c_2328]) ).

cnf(c_2331,plain,
    ( k6_pre_topc(sK2,k3_tex_4(sK2,X0)) = k6_pre_topc(sK2,X0)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
    inference(global_subsumption_just,[status(thm)],[c_2329,c_52,c_54,c_2329]) ).

cnf(c_2332,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
    | k6_pre_topc(sK2,k3_tex_4(sK2,X0)) = k6_pre_topc(sK2,X0) ),
    inference(renaming,[status(thm)],[c_2331]) ).

cnf(c_2679,plain,
    ( X0 != sK2
    | u1_struct_0(X0) = k2_pre_topc(X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_2077]) ).

cnf(c_2680,plain,
    u1_struct_0(sK2) = k2_pre_topc(sK2),
    inference(unflattening,[status(thm)],[c_2679]) ).

cnf(c_2684,plain,
    ( X0 != sK2
    | k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_1623]) ).

cnf(c_2685,plain,
    k6_pre_topc(sK2,k2_pre_topc(sK2)) = u1_struct_0(sK2),
    inference(unflattening,[status(thm)],[c_2684]) ).

cnf(c_3280,plain,
    k6_pre_topc(sK2,u1_struct_0(sK2)) = u1_struct_0(sK2),
    inference(light_normalisation,[status(thm)],[c_2685,c_2680]) ).

cnf(c_5006,plain,
    k6_pre_topc(sK2,k3_tex_4(sK2,sK3)) = k6_pre_topc(sK2,sK3),
    inference(superposition,[status(thm)],[c_51,c_2332]) ).

cnf(c_5019,plain,
    k6_pre_topc(sK2,sK3) = u1_struct_0(sK2),
    inference(light_normalisation,[status(thm)],[c_5006,c_1598,c_3280]) ).

cnf(c_5020,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5019,c_1606]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : TOP024+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 22:32:41 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.10/1.16  % SZS status Started for theBenchmark.p
% 3.10/1.16  % SZS status Theorem for theBenchmark.p
% 3.10/1.16  
% 3.10/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.10/1.16  
% 3.10/1.16  ------  iProver source info
% 3.10/1.16  
% 3.10/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.10/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.10/1.16  git: non_committed_changes: false
% 3.10/1.16  git: last_make_outside_of_git: false
% 3.10/1.16  
% 3.10/1.16  ------ Parsing...
% 3.10/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.10/1.16  
% 3.10/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 55 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 18  sf_s  rm: 15 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 15 0s  sf_e  pe_s  pe_e 
% 3.10/1.16  
% 3.10/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.10/1.16  
% 3.10/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.10/1.16  ------ Proving...
% 3.10/1.16  ------ Problem Properties 
% 3.10/1.16  
% 3.10/1.16  
% 3.10/1.16  clauses                                 69
% 3.10/1.16  conjectures                             1
% 3.10/1.16  EPR                                     8
% 3.10/1.16  Horn                                    67
% 3.10/1.16  unary                                   42
% 3.10/1.16  binary                                  17
% 3.10/1.16  lits                                    106
% 3.10/1.16  lits eq                                 23
% 3.10/1.16  fd_pure                                 0
% 3.10/1.16  fd_pseudo                               0
% 3.10/1.16  fd_cond                                 1
% 3.10/1.16  fd_pseudo_cond                          1
% 3.10/1.16  AC symbols                              0
% 3.10/1.16  
% 3.10/1.16  ------ Schedule dynamic 5 is on 
% 3.10/1.16  
% 3.10/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.10/1.16  
% 3.10/1.16  
% 3.10/1.16  ------ 
% 3.10/1.16  Current options:
% 3.10/1.16  ------ 
% 3.10/1.16  
% 3.10/1.16  
% 3.10/1.16  
% 3.10/1.16  
% 3.10/1.16  ------ Proving...
% 3.10/1.16  
% 3.10/1.16  
% 3.10/1.16  % SZS status Theorem for theBenchmark.p
% 3.10/1.16  
% 3.10/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.16  
% 3.10/1.17  
%------------------------------------------------------------------------------