TSTP Solution File: TOP024+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:53:24 EDT 2022

% Result   : Theorem 1.59s 0.56s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   88 (  26 unt;   0 def)
%            Number of atoms       :  280 (  55 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  318 ( 126   ~; 113   |;  50   &)
%                                         (   7 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   88 (  80   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1007,plain,
    $false,
    inference(subsumption_resolution,[],[f1006,f358]) ).

fof(f358,plain,
    m1_subset_1(sK15,sF20),
    inference(definition_folding,[],[f323,f357,f356]) ).

fof(f356,plain,
    sF19 = u1_struct_0(sK14),
    introduced(function_definition,[]) ).

fof(f357,plain,
    k1_zfmisc_1(sF19) = sF20,
    introduced(function_definition,[]) ).

fof(f323,plain,
    m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK14))),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ( ~ v3_struct_0(sK14)
    & v2_pre_topc(sK14)
    & l1_pre_topc(sK14)
    & m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK14)))
    & v1_tsp_2(sK15,sK14)
    & ~ v1_tops_1(sK15,sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f163,f209,f208]) ).

fof(f208,plain,
    ( ? [X0] :
        ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0)
        & ? [X1] :
            ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & v1_tsp_2(X1,X0)
            & ~ v1_tops_1(X1,X0) ) )
   => ( ~ v3_struct_0(sK14)
      & v2_pre_topc(sK14)
      & l1_pre_topc(sK14)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK14)))
          & v1_tsp_2(X1,sK14)
          & ~ v1_tops_1(X1,sK14) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f209,plain,
    ( ? [X1] :
        ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK14)))
        & v1_tsp_2(X1,sK14)
        & ~ v1_tops_1(X1,sK14) )
   => ( m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK14)))
      & v1_tsp_2(sK15,sK14)
      & ~ v1_tops_1(sK15,sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ? [X0] :
      ( ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & v1_tsp_2(X1,X0)
          & ~ v1_tops_1(X1,X0) ) ),
    inference(flattening,[],[f162]) ).

fof(f162,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ v1_tops_1(X1,X0)
          & v1_tsp_2(X1,X0)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0)
      & l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( v2_pre_topc(X0)
          & ~ v3_struct_0(X0)
          & l1_pre_topc(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(f1,conjecture,
    ! [X0] :
      ( ( v2_pre_topc(X0)
        & ~ v3_struct_0(X0)
        & l1_pre_topc(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(f1006,plain,
    ~ m1_subset_1(sK15,sF20),
    inference(forward_demodulation,[],[f1005,f357]) ).

fof(f1005,plain,
    ~ m1_subset_1(sK15,k1_zfmisc_1(sF19)),
    inference(forward_demodulation,[],[f1004,f356]) ).

fof(f1004,plain,
    ~ m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK14))),
    inference(subsumption_resolution,[],[f1003,f324]) ).

fof(f324,plain,
    l1_pre_topc(sK14),
    inference(cnf_transformation,[],[f210]) ).

fof(f1003,plain,
    ( ~ l1_pre_topc(sK14)
    | ~ m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK14))) ),
    inference(subsumption_resolution,[],[f1002,f356]) ).

fof(f1002,plain,
    ( sF19 != u1_struct_0(sK14)
    | ~ l1_pre_topc(sK14)
    | ~ m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK14))) ),
    inference(subsumption_resolution,[],[f999,f321]) ).

fof(f321,plain,
    ~ v1_tops_1(sK15,sK14),
    inference(cnf_transformation,[],[f210]) ).

fof(f999,plain,
    ( v1_tops_1(sK15,sK14)
    | ~ l1_pre_topc(sK14)
    | sF19 != u1_struct_0(sK14)
    | ~ m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK14))) ),
    inference(superposition,[],[f228,f991]) ).

fof(f991,plain,
    sF19 = k6_pre_topc(sK14,sK15),
    inference(forward_demodulation,[],[f990,f806]) ).

fof(f806,plain,
    k6_pre_topc(sK14,sF19) = sF19,
    inference(subsumption_resolution,[],[f805,f478]) ).

fof(f478,plain,
    m1_subset_1(sF19,sF20),
    inference(resolution,[],[f477,f295]) ).

fof(f295,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f477,plain,
    ! [X0] :
      ( ~ r1_tarski(X0,sF19)
      | m1_subset_1(X0,sF20) ),
    inference(superposition,[],[f223,f357]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ r1_tarski(X1,X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(X1,X0)
      | m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( r1_tarski(X1,X0)
     => m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(unused_predicate_definition_removal,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(X0))
    <=> r1_tarski(X1,X0) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X1,X0] :
      ( r1_tarski(X0,X1)
    <=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f805,plain,
    ( ~ m1_subset_1(sF19,sF20)
    | k6_pre_topc(sK14,sF19) = sF19 ),
    inference(resolution,[],[f797,f622]) ).

fof(f622,plain,
    v4_pre_topc(sF19,sK14),
    inference(forward_demodulation,[],[f621,f492]) ).

fof(f492,plain,
    sF19 = k2_pre_topc(sK14),
    inference(forward_demodulation,[],[f490,f356]) ).

fof(f490,plain,
    u1_struct_0(sK14) = k2_pre_topc(sK14),
    inference(resolution,[],[f481,f324]) ).

fof(f481,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | u1_struct_0(X0) = k2_pre_topc(X0) ),
    inference(resolution,[],[f270,f320]) ).

fof(f320,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f32]) ).

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

fof(f270,plain,
    ! [X0] :
      ( ~ l1_struct_0(X0)
      | u1_struct_0(X0) = k2_pre_topc(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ l1_struct_0(X0)
      | u1_struct_0(X0) = k2_pre_topc(X0) ),
    inference(ennf_transformation,[],[f60]) ).

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(f621,plain,
    v4_pre_topc(k2_pre_topc(sK14),sK14),
    inference(subsumption_resolution,[],[f620,f324]) ).

fof(f620,plain,
    ( ~ l1_pre_topc(sK14)
    | v4_pre_topc(k2_pre_topc(sK14),sK14) ),
    inference(resolution,[],[f296,f325]) ).

fof(f325,plain,
    v2_pre_topc(sK14),
    inference(cnf_transformation,[],[f210]) ).

fof(f296,plain,
    ! [X0] :
      ( ~ v2_pre_topc(X0)
      | v4_pre_topc(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v4_pre_topc(k2_pre_topc(X0),X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( v4_pre_topc(k2_pre_topc(X0),X0)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0) )
     => v4_pre_topc(k2_pre_topc(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_pre_topc) ).

fof(f797,plain,
    ! [X0] :
      ( ~ v4_pre_topc(X0,sK14)
      | k6_pre_topc(sK14,X0) = X0
      | ~ m1_subset_1(X0,sF20) ),
    inference(forward_demodulation,[],[f796,f357]) ).

fof(f796,plain,
    ! [X0] :
      ( ~ v4_pre_topc(X0,sK14)
      | ~ m1_subset_1(X0,k1_zfmisc_1(sF19))
      | k6_pre_topc(sK14,X0) = X0 ),
    inference(forward_demodulation,[],[f794,f356]) ).

fof(f794,plain,
    ! [X0] :
      ( ~ v4_pre_topc(X0,sK14)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | k6_pre_topc(sK14,X0) = X0 ),
    inference(resolution,[],[f316,f324]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ l1_pre_topc(X0)
      | k6_pre_topc(X0,X1) = X1
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v4_pre_topc(X1,X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ~ v4_pre_topc(X1,X0)
              | k6_pre_topc(X0,X1) = X1 )
            & ( k6_pre_topc(X0,X1) != X1
              | ~ v2_pre_topc(X0)
              | v4_pre_topc(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ~ v4_pre_topc(X1,X0)
              | k6_pre_topc(X0,X1) = X1 )
            & ( v4_pre_topc(X1,X0)
              | k6_pre_topc(X0,X1) != X1
              | ~ v2_pre_topc(X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( ( v4_pre_topc(X1,X0)
             => k6_pre_topc(X0,X1) = X1 )
            & ( ( k6_pre_topc(X0,X1) = X1
                & v2_pre_topc(X0) )
             => v4_pre_topc(X1,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).

fof(f990,plain,
    k6_pre_topc(sK14,sF19) = k6_pre_topc(sK14,sK15),
    inference(forward_demodulation,[],[f987,f949]) ).

fof(f949,plain,
    k3_tex_4(sK14,sK15) = sF19,
    inference(subsumption_resolution,[],[f948,f358]) ).

fof(f948,plain,
    ( k3_tex_4(sK14,sK15) = sF19
    | ~ m1_subset_1(sK15,sF20) ),
    inference(resolution,[],[f945,f322]) ).

fof(f322,plain,
    v1_tsp_2(sK15,sK14),
    inference(cnf_transformation,[],[f210]) ).

fof(f945,plain,
    ! [X0] :
      ( ~ v1_tsp_2(X0,sK14)
      | ~ m1_subset_1(X0,sF20)
      | k3_tex_4(sK14,X0) = sF19 ),
    inference(forward_demodulation,[],[f944,f357]) ).

fof(f944,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(sF19))
      | ~ v1_tsp_2(X0,sK14)
      | k3_tex_4(sK14,X0) = sF19 ),
    inference(forward_demodulation,[],[f943,f356]) ).

fof(f943,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | ~ v1_tsp_2(X0,sK14)
      | k3_tex_4(sK14,X0) = sF19 ),
    inference(forward_demodulation,[],[f942,f356]) ).

fof(f942,plain,
    ! [X0] :
      ( k3_tex_4(sK14,X0) = u1_struct_0(sK14)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | ~ v1_tsp_2(X0,sK14) ),
    inference(subsumption_resolution,[],[f941,f324]) ).

fof(f941,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | ~ l1_pre_topc(sK14)
      | ~ v1_tsp_2(X0,sK14)
      | k3_tex_4(sK14,X0) = u1_struct_0(sK14) ),
    inference(subsumption_resolution,[],[f940,f326]) ).

fof(f326,plain,
    ~ v3_struct_0(sK14),
    inference(cnf_transformation,[],[f210]) ).

fof(f940,plain,
    ! [X0] :
      ( k3_tex_4(sK14,X0) = u1_struct_0(sK14)
      | v3_struct_0(sK14)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | ~ l1_pre_topc(sK14)
      | ~ v1_tsp_2(X0,sK14) ),
    inference(resolution,[],[f345,f325]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | ~ v1_tsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | u1_struct_0(X0) = k3_tex_4(X0,X1) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
                & v1_tsp_1(X1,X0) )
              | ~ v1_tsp_2(X1,X0) )
            & ( v1_tsp_2(X1,X0)
              | u1_struct_0(X0) != k3_tex_4(X0,X1)
              | ~ v1_tsp_1(X1,X0) ) ) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0) ),
    inference(flattening,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
                & v1_tsp_1(X1,X0) )
              | ~ v1_tsp_2(X1,X0) )
            & ( v1_tsp_2(X1,X0)
              | u1_struct_0(X0) != k3_tex_4(X0,X1)
              | ~ v1_tsp_1(X1,X0) ) ) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0) ),
    inference(nnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
              & v1_tsp_1(X1,X0) )
          <=> v1_tsp_2(X1,X0) ) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0) ),
    inference(flattening,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
              & v1_tsp_1(X1,X0) )
          <=> v1_tsp_2(X1,X0) ) )
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f987,plain,
    k6_pre_topc(sK14,k3_tex_4(sK14,sK15)) = k6_pre_topc(sK14,sK15),
    inference(resolution,[],[f939,f358]) ).

fof(f939,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | k6_pre_topc(sK14,X0) = k6_pre_topc(sK14,k3_tex_4(sK14,X0)) ),
    inference(forward_demodulation,[],[f938,f357]) ).

fof(f938,plain,
    ! [X0] :
      ( k6_pre_topc(sK14,X0) = k6_pre_topc(sK14,k3_tex_4(sK14,X0))
      | ~ m1_subset_1(X0,k1_zfmisc_1(sF19)) ),
    inference(forward_demodulation,[],[f937,f356]) ).

fof(f937,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | k6_pre_topc(sK14,X0) = k6_pre_topc(sK14,k3_tex_4(sK14,X0)) ),
    inference(subsumption_resolution,[],[f936,f326]) ).

fof(f936,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | v3_struct_0(sK14)
      | k6_pre_topc(sK14,X0) = k6_pre_topc(sK14,k3_tex_4(sK14,X0)) ),
    inference(subsumption_resolution,[],[f935,f324]) ).

fof(f935,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK14)))
      | ~ l1_pre_topc(sK14)
      | k6_pre_topc(sK14,X0) = k6_pre_topc(sK14,k3_tex_4(sK14,X0))
      | v3_struct_0(sK14) ),
    inference(resolution,[],[f334,f325]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | ~ 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))
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [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)) )
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [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)) )
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & ~ v3_struct_0(X0)
        & v2_pre_topc(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(f228,plain,
    ! [X0,X1] :
      ( u1_struct_0(X0) != k6_pre_topc(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_tops_1(X1,X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( u1_struct_0(X0) = k6_pre_topc(X0,X1)
              | ~ v1_tops_1(X1,X0) )
            & ( v1_tops_1(X1,X0)
              | u1_struct_0(X0) != k6_pre_topc(X0,X1) ) ) )
      | ~ l1_pre_topc(X0) ),
    inference(nnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( u1_struct_0(X0) = k6_pre_topc(X0,X1)
          <=> v1_tops_1(X1,X0) ) )
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f25]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 14:29:25 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (4891)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (4883)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (4894)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (4886)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (4908)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (4885)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (4883)Refutation not found, incomplete strategy% (4883)------------------------------
% 0.20/0.51  % (4883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (4910)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52  % (4887)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (4883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (4883)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (4883)Memory used [KB]: 5756
% 0.20/0.52  % (4883)Time elapsed: 0.116 s
% 0.20/0.52  % (4883)Instructions burned: 10 (million)
% 0.20/0.52  % (4883)------------------------------
% 0.20/0.52  % (4883)------------------------------
% 0.20/0.52  % (4905)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (4909)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (4884)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (4882)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (4911)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (4898)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53  % (4912)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53  % (4892)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (4888)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (4890)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (4890)Instruction limit reached!
% 0.20/0.53  % (4890)------------------------------
% 0.20/0.53  % (4890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (4890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4890)Termination reason: Unknown
% 0.20/0.53  % (4890)Termination phase: Naming
% 0.20/0.53  
% 0.20/0.53  % (4890)Memory used [KB]: 1023
% 0.20/0.53  % (4890)Time elapsed: 0.002 s
% 0.20/0.53  % (4890)Instructions burned: 2 (million)
% 0.20/0.53  % (4890)------------------------------
% 0.20/0.53  % (4890)------------------------------
% 0.20/0.53  % (4902)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (4904)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (4889)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (4901)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (4889)Instruction limit reached!
% 0.20/0.54  % (4889)------------------------------
% 0.20/0.54  % (4889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4889)Termination reason: Unknown
% 0.20/0.54  % (4889)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (4889)Memory used [KB]: 5628
% 0.20/0.54  % (4889)Time elapsed: 0.115 s
% 0.20/0.54  % (4889)Instructions burned: 7 (million)
% 0.20/0.54  % (4889)------------------------------
% 0.20/0.54  % (4889)------------------------------
% 0.20/0.54  % (4896)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (4907)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (4903)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (4906)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (4910)First to succeed.
% 0.20/0.54  % (4895)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (4900)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (4899)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (4897)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.59/0.56  % (4910)Refutation found. Thanks to Tanya!
% 1.59/0.56  % SZS status Theorem for theBenchmark
% 1.59/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56  % (4910)------------------------------
% 1.59/0.56  % (4910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (4910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (4910)Termination reason: Refutation
% 1.59/0.56  
% 1.59/0.56  % (4910)Memory used [KB]: 1407
% 1.59/0.56  % (4910)Time elapsed: 0.149 s
% 1.59/0.56  % (4910)Instructions burned: 30 (million)
% 1.59/0.56  % (4910)------------------------------
% 1.59/0.56  % (4910)------------------------------
% 1.59/0.56  % (4878)Success in time 0.204 s
%------------------------------------------------------------------------------