TSTP Solution File: TOP025+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : TOP025+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 : n007.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 19:53:25 EDT 2022

% Result   : Theorem 1.51s 0.60s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   78 (  21 unt;   0 def)
%            Number of atoms       :  288 (  49 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  330 ( 120   ~; 127   |;  58   &)
%                                         (   8 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   85 (  77   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f795,plain,
    $false,
    inference(subsumption_resolution,[],[f789,f329]) ).

fof(f329,plain,
    v1_tex_2(sK7,sF20),
    inference(definition_folding,[],[f231,f327,f326]) ).

fof(f326,plain,
    sF19 = u1_struct_0(sK6),
    introduced(function_definition,[]) ).

fof(f327,plain,
    sF20 = k1_zfmisc_1(sF19),
    introduced(function_definition,[]) ).

fof(f231,plain,
    v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6))),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ( ~ v3_struct_0(sK6)
    & l1_pre_topc(sK6)
    & m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
    & v1_tsp_2(sK7,sK6)
    & ( v3_pre_topc(sK7,sK6)
      | v4_pre_topc(sK7,sK6) )
    & v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
    & v2_pre_topc(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f136,f163,f162]) ).

fof(f162,plain,
    ( ? [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)
            & ( v3_pre_topc(X1,X0)
              | v4_pre_topc(X1,X0) )
            & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) )
        & v2_pre_topc(X0) )
   => ( ~ v3_struct_0(sK6)
      & l1_pre_topc(sK6)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
          & v1_tsp_2(X1,sK6)
          & ( v3_pre_topc(X1,sK6)
            | v4_pre_topc(X1,sK6) )
          & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
      & v2_pre_topc(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ( ? [X1] :
        ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
        & v1_tsp_2(X1,sK6)
        & ( v3_pre_topc(X1,sK6)
          | v4_pre_topc(X1,sK6) )
        & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
   => ( m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
      & v1_tsp_2(sK7,sK6)
      & ( v3_pre_topc(sK7,sK6)
        | v4_pre_topc(sK7,sK6) )
      & v1_tex_2(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ? [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)
          & ( v3_pre_topc(X1,X0)
            | v4_pre_topc(X1,X0) )
          & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & v2_pre_topc(X0) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ? [X0] :
      ( ? [X1] :
          ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ( v3_pre_topc(X1,X0)
            | v4_pre_topc(X1,X0) )
          & v1_tsp_2(X1,X0)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & l1_pre_topc(X0)
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [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)))
           => ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
                & ( v3_pre_topc(X1,X0)
                  | v4_pre_topc(X1,X0) )
                & v1_tsp_2(X1,X0) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [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)))
         => ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
              & ( v3_pre_topc(X1,X0)
                | v4_pre_topc(X1,X0) )
              & v1_tsp_2(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

fof(f789,plain,
    ~ v1_tex_2(sK7,sF20),
    inference(backward_demodulation,[],[f541,f781]) ).

fof(f781,plain,
    sF19 = sK7,
    inference(forward_demodulation,[],[f780,f778]) ).

fof(f778,plain,
    sK7 = k3_tex_4(sK6,sK7),
    inference(subsumption_resolution,[],[f774,f328]) ).

fof(f328,plain,
    m1_subset_1(sK7,sF20),
    inference(definition_folding,[],[f234,f327,f326]) ).

fof(f234,plain,
    m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))),
    inference(cnf_transformation,[],[f164]) ).

fof(f774,plain,
    ( sK7 = k3_tex_4(sK6,sK7)
    | ~ m1_subset_1(sK7,sF20) ),
    inference(duplicate_literal_removal,[],[f772]) ).

fof(f772,plain,
    ( ~ m1_subset_1(sK7,sF20)
    | sK7 = k3_tex_4(sK6,sK7)
    | sK7 = k3_tex_4(sK6,sK7) ),
    inference(resolution,[],[f749,f726]) ).

fof(f726,plain,
    ( v3_pre_topc(sK7,sK6)
    | sK7 = k3_tex_4(sK6,sK7) ),
    inference(subsumption_resolution,[],[f716,f328]) ).

fof(f716,plain,
    ( v3_pre_topc(sK7,sK6)
    | sK7 = k3_tex_4(sK6,sK7)
    | ~ m1_subset_1(sK7,sF20) ),
    inference(resolution,[],[f715,f232]) ).

fof(f232,plain,
    ( v4_pre_topc(sK7,sK6)
    | v3_pre_topc(sK7,sK6) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f715,plain,
    ! [X0] :
      ( ~ v4_pre_topc(X0,sK6)
      | ~ m1_subset_1(X0,sF20)
      | k3_tex_4(sK6,X0) = X0 ),
    inference(forward_demodulation,[],[f714,f327]) ).

fof(f714,plain,
    ! [X0] :
      ( ~ v4_pre_topc(X0,sK6)
      | k3_tex_4(sK6,X0) = X0
      | ~ m1_subset_1(X0,k1_zfmisc_1(sF19)) ),
    inference(forward_demodulation,[],[f713,f326]) ).

fof(f713,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
      | ~ v4_pre_topc(X0,sK6)
      | k3_tex_4(sK6,X0) = X0 ),
    inference(subsumption_resolution,[],[f712,f236]) ).

fof(f236,plain,
    ~ v3_struct_0(sK6),
    inference(cnf_transformation,[],[f164]) ).

fof(f712,plain,
    ! [X0] :
      ( v3_struct_0(sK6)
      | ~ v4_pre_topc(X0,sK6)
      | k3_tex_4(sK6,X0) = X0
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ),
    inference(subsumption_resolution,[],[f711,f235]) ).

fof(f235,plain,
    l1_pre_topc(sK6),
    inference(cnf_transformation,[],[f164]) ).

fof(f711,plain,
    ! [X0] :
      ( ~ l1_pre_topc(sK6)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
      | k3_tex_4(sK6,X0) = X0
      | v3_struct_0(sK6)
      | ~ v4_pre_topc(X0,sK6) ),
    inference(resolution,[],[f212,f230]) ).

fof(f230,plain,
    v2_pre_topc(sK6),
    inference(cnf_transformation,[],[f164]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | k3_tex_4(X0,X1) = X1
      | ~ v4_pre_topc(X1,X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ! [X1] :
          ( k3_tex_4(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v4_pre_topc(X1,X0) )
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tex_4(X0,X1) = X1
          | ~ v4_pre_topc(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,[],[f59]) ).

fof(f59,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)))
         => ( v4_pre_topc(X1,X0)
           => k3_tex_4(X0,X1) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).

fof(f749,plain,
    ! [X0] :
      ( ~ v3_pre_topc(X0,sK6)
      | k3_tex_4(sK6,X0) = X0
      | ~ m1_subset_1(X0,sF20) ),
    inference(forward_demodulation,[],[f748,f327]) ).

fof(f748,plain,
    ! [X0] :
      ( k3_tex_4(sK6,X0) = X0
      | ~ v3_pre_topc(X0,sK6)
      | ~ m1_subset_1(X0,k1_zfmisc_1(sF19)) ),
    inference(forward_demodulation,[],[f747,f326]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
      | ~ v3_pre_topc(X0,sK6)
      | k3_tex_4(sK6,X0) = X0 ),
    inference(subsumption_resolution,[],[f746,f235]) ).

fof(f746,plain,
    ! [X0] :
      ( ~ l1_pre_topc(sK6)
      | ~ v3_pre_topc(X0,sK6)
      | k3_tex_4(sK6,X0) = X0
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ),
    inference(subsumption_resolution,[],[f745,f236]) ).

fof(f745,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
      | k3_tex_4(sK6,X0) = X0
      | ~ v3_pre_topc(X0,sK6)
      | v3_struct_0(sK6)
      | ~ l1_pre_topc(sK6) ),
    inference(resolution,[],[f267,f230]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | k3_tex_4(X0,X1) = X1
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0)
      | ~ v3_pre_topc(X1,X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | ! [X1] :
          ( ~ v3_pre_topc(X1,X0)
          | k3_tex_4(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tex_4(X0,X1) = X1
          | ~ v3_pre_topc(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [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)))
         => ( v3_pre_topc(X1,X0)
           => k3_tex_4(X0,X1) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_tex_4) ).

fof(f780,plain,
    sF19 = k3_tex_4(sK6,sK7),
    inference(subsumption_resolution,[],[f779,f328]) ).

fof(f779,plain,
    ( sF19 = k3_tex_4(sK6,sK7)
    | ~ m1_subset_1(sK7,sF20) ),
    inference(resolution,[],[f761,f233]) ).

fof(f233,plain,
    v1_tsp_2(sK7,sK6),
    inference(cnf_transformation,[],[f164]) ).

fof(f761,plain,
    ! [X0] :
      ( ~ v1_tsp_2(X0,sK6)
      | ~ m1_subset_1(X0,sF20)
      | sF19 = k3_tex_4(sK6,X0) ),
    inference(forward_demodulation,[],[f760,f327]) ).

fof(f760,plain,
    ! [X0] :
      ( sF19 = k3_tex_4(sK6,X0)
      | ~ m1_subset_1(X0,k1_zfmisc_1(sF19))
      | ~ v1_tsp_2(X0,sK6) ),
    inference(forward_demodulation,[],[f759,f326]) ).

fof(f759,plain,
    ! [X0] :
      ( sF19 = k3_tex_4(sK6,X0)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
      | ~ v1_tsp_2(X0,sK6) ),
    inference(forward_demodulation,[],[f758,f326]) ).

fof(f758,plain,
    ! [X0] :
      ( u1_struct_0(sK6) = k3_tex_4(sK6,X0)
      | ~ v1_tsp_2(X0,sK6)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ),
    inference(subsumption_resolution,[],[f757,f236]) ).

fof(f757,plain,
    ! [X0] :
      ( u1_struct_0(sK6) = k3_tex_4(sK6,X0)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
      | ~ v1_tsp_2(X0,sK6)
      | v3_struct_0(sK6) ),
    inference(subsumption_resolution,[],[f756,f235]) ).

fof(f756,plain,
    ! [X0] :
      ( ~ v1_tsp_2(X0,sK6)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
      | ~ l1_pre_topc(sK6)
      | v3_struct_0(sK6)
      | u1_struct_0(sK6) = k3_tex_4(sK6,X0) ),
    inference(resolution,[],[f274,f230]) ).

fof(f274,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0)
      | ~ v1_tsp_2(X1,X0)
      | u1_struct_0(X0) = k3_tex_4(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(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))) ) ),
    inference(flattening,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(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))) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(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))) ) ),
    inference(flattening,[],[f117]) ).

fof(f117,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))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [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)
          <=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
              & v1_tsp_1(X1,X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).

fof(f541,plain,
    ~ v1_tex_2(sF19,sF20),
    inference(subsumption_resolution,[],[f540,f449]) ).

fof(f449,plain,
    m1_subset_1(sF19,sF20),
    inference(resolution,[],[f438,f249]) ).

fof(f249,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X1] : r1_tarski(X1,X1),
    inference(rectify,[],[f51]) ).

fof(f51,axiom,
    ! [X1,X0] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f438,plain,
    ! [X0] :
      ( ~ r1_tarski(X0,sF19)
      | m1_subset_1(X0,sF20) ),
    inference(superposition,[],[f291,f327]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ r1_tarski(X0,X1) ),
    inference(rectify,[],[f132]) ).

fof(f132,plain,
    ! [X1,X0] :
      ( m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ r1_tarski(X1,X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( r1_tarski(X1,X0)
     => m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(unused_predicate_definition_removal,[],[f64]) ).

fof(f64,plain,
    ! [X1,X0] :
      ( r1_tarski(X1,X0)
    <=> m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X1,X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
    <=> r1_tarski(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(f540,plain,
    ( ~ v1_tex_2(sF19,sF20)
    | ~ m1_subset_1(sF19,sF20) ),
    inference(superposition,[],[f325,f327]) ).

fof(f325,plain,
    ! [X1] :
      ( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
    inference(equality_resolution,[],[f252]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ v1_tex_2(X0,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( ( v1_tex_2(X0,k1_zfmisc_1(X1))
          | X0 = X1 )
        & ( X0 != X1
          | ~ v1_tex_2(X0,k1_zfmisc_1(X1)) ) )
      | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( v1_tex_2(X0,k1_zfmisc_1(X1))
      <=> X0 != X1 )
      | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
     => ( v1_tex_2(X0,k1_zfmisc_1(X1))
      <=> X0 != X1 ) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X1,X0] :
      ( m1_subset_1(X1,k1_zfmisc_1(X0))
     => ( X0 != X1
      <=> v1_tex_2(X1,k1_zfmisc_1(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : TOP025+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.36  % Computer : n007.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Mon Aug 29 14:18:30 EDT 2022
% 0.13/0.36  % CPUTime    : 
% 0.20/0.53  % (1119)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  % (1098)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (1101)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (1111)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  % (1115)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (1106)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)
% 0.20/0.53  % (1101)Instruction limit reached!
% 0.20/0.53  % (1101)------------------------------
% 0.20/0.53  % (1101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (1101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (1101)Termination reason: Unknown
% 0.20/0.53  % (1101)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (1101)Memory used [KB]: 5628
% 0.20/0.53  % (1101)Time elapsed: 0.115 s
% 0.20/0.53  % (1101)Instructions burned: 7 (million)
% 0.20/0.53  % (1101)------------------------------
% 0.20/0.53  % (1101)------------------------------
% 0.20/0.53  % (1108)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)
% 0.20/0.54  % (1100)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)
% 0.20/0.54  % (1094)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)
% 0.20/0.54  % (1097)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)
% 1.17/0.55  % (1099)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)
% 1.17/0.55  % (1124)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)
% 1.17/0.55  TRYING [1]
% 1.17/0.55  % (1112)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)
% 1.17/0.55  % (1095)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)
% 1.17/0.55  TRYING [2]
% 1.17/0.55  % (1105)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.17/0.55  % (1107)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.17/0.55  % (1105)Instruction limit reached!
% 1.17/0.55  % (1105)------------------------------
% 1.17/0.55  % (1105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.55  % (1105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.55  % (1105)Termination reason: Unknown
% 1.17/0.55  % (1105)Termination phase: Preprocessing 3
% 1.17/0.55  
% 1.17/0.55  % (1105)Memory used [KB]: 1023
% 1.17/0.55  % (1105)Time elapsed: 0.003 s
% 1.17/0.55  % (1105)Instructions burned: 3 (million)
% 1.17/0.55  % (1105)------------------------------
% 1.17/0.55  % (1105)------------------------------
% 1.17/0.55  % (1126)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.17/0.55  TRYING [3]
% 1.17/0.55  % (1096)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)
% 1.17/0.55  % (1116)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)
% 1.17/0.55  % (1121)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.17/0.56  TRYING [1]
% 1.17/0.56  TRYING [2]
% 1.17/0.56  TRYING [3]
% 1.17/0.56  % (1117)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)
% 1.17/0.56  % (1113)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)
% 1.17/0.56  % (1127)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)
% 1.17/0.56  % (1123)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.17/0.56  % (1125)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)
% 1.17/0.56  % (1095)Refutation not found, incomplete strategy% (1095)------------------------------
% 1.17/0.56  % (1095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.56  % (1120)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)
% 1.17/0.56  % (1095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.56  % (1095)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.56  
% 1.17/0.56  % (1095)Memory used [KB]: 5628
% 1.17/0.56  % (1095)Time elapsed: 0.138 s
% 1.17/0.56  % (1095)Instructions burned: 9 (million)
% 1.17/0.56  % (1095)------------------------------
% 1.17/0.56  % (1095)------------------------------
% 1.17/0.57  % (1109)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.57  % (1110)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.57  % (1118)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.57  % (1112)First to succeed.
% 1.51/0.57  TRYING [4]
% 1.51/0.57  TRYING [4]
% 1.51/0.57  % (1114)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.58  TRYING [1]
% 1.51/0.58  TRYING [2]
% 1.51/0.59  TRYING [5]
% 1.51/0.60  % (1112)Refutation found. Thanks to Tanya!
% 1.51/0.60  % SZS status Theorem for theBenchmark
% 1.51/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.60  % (1112)------------------------------
% 1.51/0.60  % (1112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60  % (1112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.60  % (1112)Termination reason: Refutation
% 1.51/0.60  
% 1.51/0.60  % (1112)Memory used [KB]: 1279
% 1.51/0.60  % (1112)Time elapsed: 0.152 s
% 1.51/0.60  % (1112)Instructions burned: 21 (million)
% 1.51/0.60  % (1112)------------------------------
% 1.51/0.60  % (1112)------------------------------
% 1.51/0.60  % (1093)Success in time 0.216 s
%------------------------------------------------------------------------------