TSTP Solution File: LAT345+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n003.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 : Thu Aug 31 06:35:42 EDT 2023

% Result   : Theorem 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  184 (  44 unt;   0 def)
%            Number of atoms       :  600 ( 152 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  701 ( 285   ~; 289   |;  93   &)
%                                         (   8 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   18 (  16 usr;   5 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   2 con; 0-3 aty)
%            Number of variables   :  192 (; 184   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3467,plain,
    $false,
    inference(avatar_sat_refutation,[],[f550,f554,f558,f1266,f3462]) ).

fof(f3462,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(avatar_contradiction_clause,[],[f3461]) ).

fof(f3461,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(subsumption_resolution,[],[f3460,f195]) ).

fof(f195,plain,
    sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    & l3_conlat_1(sK1,sK0)
    & v9_conlat_1(sK1,sK0)
    & ~ v7_conlat_1(sK1,sK0)
    & v6_conlat_1(sK1,sK0)
    & l2_conlat_1(sK0)
    & v4_conlat_1(sK0)
    & ~ v3_conlat_1(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f145,f144]) ).

fof(f144,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
            & l3_conlat_1(X1,X0)
            & v9_conlat_1(X1,X0)
            & ~ v7_conlat_1(X1,X0)
            & v6_conlat_1(X1,X0) )
        & l2_conlat_1(X0)
        & v4_conlat_1(X0)
        & ~ v3_conlat_1(X0) )
   => ( ? [X1] :
          ( k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X1)) != X1
          & l3_conlat_1(X1,sK0)
          & v9_conlat_1(X1,sK0)
          & ~ v7_conlat_1(X1,sK0)
          & v6_conlat_1(X1,sK0) )
      & l2_conlat_1(sK0)
      & v4_conlat_1(sK0)
      & ~ v3_conlat_1(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ( ? [X1] :
        ( k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X1)) != X1
        & l3_conlat_1(X1,sK0)
        & v9_conlat_1(X1,sK0)
        & ~ v7_conlat_1(X1,sK0)
        & v6_conlat_1(X1,sK0) )
   => ( sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
      & l3_conlat_1(sK1,sK0)
      & v9_conlat_1(sK1,sK0)
      & ~ v7_conlat_1(sK1,sK0)
      & v6_conlat_1(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ? [X0] :
      ( ? [X1] :
          ( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
          & l3_conlat_1(X1,X0)
          & v9_conlat_1(X1,X0)
          & ~ v7_conlat_1(X1,X0)
          & v6_conlat_1(X1,X0) )
      & l2_conlat_1(X0)
      & v4_conlat_1(X0)
      & ~ v3_conlat_1(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ? [X0] :
      ( ? [X1] :
          ( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
          & l3_conlat_1(X1,X0)
          & v9_conlat_1(X1,X0)
          & ~ v7_conlat_1(X1,X0)
          & v6_conlat_1(X1,X0) )
      & l2_conlat_1(X0)
      & v4_conlat_1(X0)
      & ~ v3_conlat_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l2_conlat_1(X0)
          & v4_conlat_1(X0)
          & ~ v3_conlat_1(X0) )
       => ! [X1] :
            ( ( l3_conlat_1(X1,X0)
              & v9_conlat_1(X1,X0)
              & ~ v7_conlat_1(X1,X0)
              & v6_conlat_1(X1,X0) )
           => k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l2_conlat_1(X0)
        & v4_conlat_1(X0)
        & ~ v3_conlat_1(X0) )
     => ! [X1] :
          ( ( l3_conlat_1(X1,X0)
            & v9_conlat_1(X1,X0)
            & ~ v7_conlat_1(X1,X0)
            & v6_conlat_1(X1,X0) )
         => k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',t20_conlat_2) ).

fof(f3460,plain,
    ( sK1 = k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(forward_demodulation,[],[f3423,f334]) ).

fof(f334,plain,
    sK1 = g3_conlat_1(sK0,u4_conlat_1(sK0,sK1),u5_conlat_1(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f289,f191,f194,f251]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1
      | ~ v6_conlat_1(X1,X0)
      | ~ l3_conlat_1(X1,X0)
      | ~ l1_conlat_1(X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1
      | ~ v6_conlat_1(X1,X0)
      | ~ l3_conlat_1(X1,X0)
      | ~ l1_conlat_1(X0) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1
      | ~ v6_conlat_1(X1,X0)
      | ~ l3_conlat_1(X1,X0)
      | ~ l1_conlat_1(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( l3_conlat_1(X1,X0)
        & l1_conlat_1(X0) )
     => ( v6_conlat_1(X1,X0)
       => g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',abstractness_v6_conlat_1) ).

fof(f194,plain,
    l3_conlat_1(sK1,sK0),
    inference(cnf_transformation,[],[f146]) ).

fof(f191,plain,
    v6_conlat_1(sK1,sK0),
    inference(cnf_transformation,[],[f146]) ).

fof(f289,plain,
    l1_conlat_1(sK0),
    inference(unit_resulting_resolution,[],[f190,f205]) ).

fof(f205,plain,
    ! [X0] :
      ( l1_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( l1_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( l2_conlat_1(X0)
     => l1_conlat_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',dt_l2_conlat_1) ).

fof(f190,plain,
    l2_conlat_1(sK0),
    inference(cnf_transformation,[],[f146]) ).

fof(f3423,plain,
    ( k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = g3_conlat_1(sK0,u4_conlat_1(sK0,sK1),u5_conlat_1(sK0,sK1))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f3010,f3058]) ).

fof(f3058,plain,
    ( sK0 = k7_conlat_2(k7_conlat_2(sK0))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(forward_demodulation,[],[f3057,f291]) ).

fof(f291,plain,
    sK0 = g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),
    inference(unit_resulting_resolution,[],[f189,f190,f207]) ).

fof(f207,plain,
    ! [X0] :
      ( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
      | ~ v4_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
      | ~ v4_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
      | ~ v4_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( l2_conlat_1(X0)
     => ( v4_conlat_1(X0)
       => g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',abstractness_v4_conlat_1) ).

fof(f189,plain,
    v4_conlat_1(sK0),
    inference(cnf_transformation,[],[f146]) ).

fof(f3057,plain,
    ( g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = k7_conlat_2(k7_conlat_2(sK0))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f2894,f3055]) ).

fof(f3055,plain,
    ( u3_conlat_1(sK0) = k6_relset_1(u2_conlat_1(sK0),u1_conlat_1(sK0),u3_conlat_1(k7_conlat_2(sK0)))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f1543,f3046]) ).

fof(f3046,plain,
    ( u3_conlat_1(k7_conlat_2(sK0)) = k4_relat_1(u3_conlat_1(sK0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f1113,f3038]) ).

fof(f3038,plain,
    ( k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = u3_conlat_1(k7_conlat_2(sK0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(unit_resulting_resolution,[],[f2893,f557]) ).

fof(f557,plain,
    ( ! [X14,X12,X13] :
        ( k7_conlat_2(sK0) != g2_conlat_1(X12,X13,X14)
        | k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = X14 )
    | ~ spl22_4 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl22_4
  <=> ! [X13,X12,X14] :
        ( k7_conlat_2(sK0) != g2_conlat_1(X12,X13,X14)
        | k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).

fof(f2893,plain,
    ( k7_conlat_2(sK0) = g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),u3_conlat_1(k7_conlat_2(sK0)))
    | ~ spl22_2
    | ~ spl22_3 ),
    inference(backward_demodulation,[],[f2570,f2552]) ).

fof(f2552,plain,
    ( u1_conlat_1(sK0) = u2_conlat_1(k7_conlat_2(sK0))
    | ~ spl22_3 ),
    inference(unit_resulting_resolution,[],[f343,f553]) ).

fof(f553,plain,
    ( ! [X8,X6,X7] :
        ( k7_conlat_2(sK0) != g2_conlat_1(X6,X7,X8)
        | u1_conlat_1(sK0) = X7 )
    | ~ spl22_3 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl22_3
  <=> ! [X6,X8,X7] :
        ( k7_conlat_2(sK0) != g2_conlat_1(X6,X7,X8)
        | u1_conlat_1(sK0) = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).

fof(f343,plain,
    k7_conlat_2(sK0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0))),
    inference(unit_resulting_resolution,[],[f294,f295,f207]) ).

fof(f295,plain,
    l2_conlat_1(k7_conlat_2(sK0)),
    inference(unit_resulting_resolution,[],[f188,f190,f223]) ).

fof(f223,plain,
    ! [X0] :
      ( l2_conlat_1(k7_conlat_2(X0))
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ( l2_conlat_1(k7_conlat_2(X0))
        & v4_conlat_1(k7_conlat_2(X0))
        & ~ v3_conlat_1(k7_conlat_2(X0)) )
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ( l2_conlat_1(k7_conlat_2(X0))
        & v4_conlat_1(k7_conlat_2(X0))
        & ~ v3_conlat_1(k7_conlat_2(X0)) )
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ( l2_conlat_1(X0)
        & ~ v3_conlat_1(X0) )
     => ( l2_conlat_1(k7_conlat_2(X0))
        & v4_conlat_1(k7_conlat_2(X0))
        & ~ v3_conlat_1(k7_conlat_2(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',dt_k7_conlat_2) ).

fof(f188,plain,
    ~ v3_conlat_1(sK0),
    inference(cnf_transformation,[],[f146]) ).

fof(f294,plain,
    v4_conlat_1(k7_conlat_2(sK0)),
    inference(unit_resulting_resolution,[],[f188,f190,f222]) ).

fof(f222,plain,
    ! [X0] :
      ( v4_conlat_1(k7_conlat_2(X0))
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f2570,plain,
    ( k7_conlat_2(sK0) = g2_conlat_1(u2_conlat_1(sK0),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))
    | ~ spl22_2 ),
    inference(backward_demodulation,[],[f343,f2553]) ).

fof(f2553,plain,
    ( u2_conlat_1(sK0) = u1_conlat_1(k7_conlat_2(sK0))
    | ~ spl22_2 ),
    inference(unit_resulting_resolution,[],[f343,f549]) ).

fof(f549,plain,
    ( ! [X2,X0,X1] :
        ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK0)
        | u2_conlat_1(sK0) = X0 )
    | ~ spl22_2 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl22_2
  <=> ! [X2,X0,X1] :
        ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK0)
        | u2_conlat_1(sK0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).

fof(f1113,plain,
    k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = k4_relat_1(u3_conlat_1(sK0)),
    inference(unit_resulting_resolution,[],[f469,f257]) ).

fof(f257,plain,
    ! [X2,X0,X1] :
      ( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0,X1,X2] :
      ( m1_relset_1(X2,X0,X1)
     => k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',redefinition_k6_relset_1) ).

fof(f469,plain,
    m1_relset_1(u3_conlat_1(sK0),u1_conlat_1(sK0),u2_conlat_1(sK0)),
    inference(unit_resulting_resolution,[],[f290,f273]) ).

fof(f273,plain,
    ! [X2,X0,X1] :
      ( m1_relset_1(X2,X0,X1)
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(X2,X0,X1)
        | ~ m1_relset_1(X2,X0,X1) )
      & ( m1_relset_1(X2,X0,X1)
        | ~ m2_relset_1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',redefinition_m2_relset_1) ).

fof(f290,plain,
    m2_relset_1(u3_conlat_1(sK0),u1_conlat_1(sK0),u2_conlat_1(sK0)),
    inference(unit_resulting_resolution,[],[f190,f206]) ).

fof(f206,plain,
    ! [X0] :
      ( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
      | ~ l2_conlat_1(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( l2_conlat_1(X0)
     => m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',dt_u3_conlat_1) ).

fof(f1543,plain,
    ( u3_conlat_1(sK0) = k6_relset_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k4_relat_1(u3_conlat_1(sK0)))
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f1282,f1539]) ).

fof(f1539,plain,
    u3_conlat_1(sK0) = k4_relat_1(k4_relat_1(u3_conlat_1(sK0))),
    inference(unit_resulting_resolution,[],[f1537,f201]) ).

fof(f201,plain,
    ! [X0] :
      ( k4_relat_1(k4_relat_1(X0)) = X0
      | ~ v1_relat_1(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( k4_relat_1(k4_relat_1(X0)) = X0
      | ~ v1_relat_1(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( v1_relat_1(X0)
     => k4_relat_1(k4_relat_1(X0)) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',involutiveness_k4_relat_1) ).

fof(f1537,plain,
    v1_relat_1(u3_conlat_1(sK0)),
    inference(unit_resulting_resolution,[],[f470,f266]) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( v1_relat_1(X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( v1_relat_1(X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
     => v1_relat_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',cc1_relset_1) ).

fof(f470,plain,
    m1_subset_1(u3_conlat_1(sK0),k1_zfmisc_1(k2_zfmisc_1(u1_conlat_1(sK0),u2_conlat_1(sK0)))),
    inference(unit_resulting_resolution,[],[f290,f265]) ).

fof(f265,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
     => m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',dt_m2_relset_1) ).

fof(f1282,plain,
    ( k6_relset_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k4_relat_1(u3_conlat_1(sK0))) = k4_relat_1(k4_relat_1(u3_conlat_1(sK0)))
    | ~ spl22_1 ),
    inference(unit_resulting_resolution,[],[f1267,f257]) ).

fof(f1267,plain,
    ( m1_relset_1(k4_relat_1(u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0))
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f545,f1113]) ).

fof(f545,plain,
    ( m1_relset_1(k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0))
    | ~ spl22_1 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl22_1
  <=> m1_relset_1(k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).

fof(f2894,plain,
    ( k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),k6_relset_1(u2_conlat_1(sK0),u1_conlat_1(sK0),u3_conlat_1(k7_conlat_2(sK0))))
    | ~ spl22_2
    | ~ spl22_3 ),
    inference(backward_demodulation,[],[f2571,f2552]) ).

fof(f2571,plain,
    ( k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(sK0),k6_relset_1(u2_conlat_1(sK0),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0))))
    | ~ spl22_2 ),
    inference(backward_demodulation,[],[f344,f2553]) ).

fof(f344,plain,
    k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))),
    inference(unit_resulting_resolution,[],[f293,f295,f220]) ).

fof(f220,plain,
    ! [X0] :
      ( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( l2_conlat_1(X0)
        & ~ v3_conlat_1(X0) )
     => k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',d7_conlat_2) ).

fof(f293,plain,
    ~ v3_conlat_1(k7_conlat_2(sK0)),
    inference(unit_resulting_resolution,[],[f188,f190,f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ v3_conlat_1(k7_conlat_2(X0))
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f3010,plain,
    k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = g3_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),u4_conlat_1(sK0,sK1),u5_conlat_1(sK0,sK1)),
    inference(backward_demodulation,[],[f2989,f3009]) ).

fof(f3009,plain,
    u4_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))),
    inference(subsumption_resolution,[],[f3008,f457]) ).

fof(f457,plain,
    v6_conlat_1(k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))),
    inference(unit_resulting_resolution,[],[f293,f295,f327,f328,f329,f243]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( l3_conlat_1(X1,X0)
        & v9_conlat_1(X1,X0)
        & ~ v7_conlat_1(X1,X0)
        & l2_conlat_1(X0)
        & ~ v3_conlat_1(X0) )
     => ( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
        & v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',dt_k9_conlat_2) ).

fof(f329,plain,
    l3_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
    inference(unit_resulting_resolution,[],[f188,f190,f192,f193,f194,f246]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f193,plain,
    v9_conlat_1(sK1,sK0),
    inference(cnf_transformation,[],[f146]) ).

fof(f192,plain,
    ~ v7_conlat_1(sK1,sK0),
    inference(cnf_transformation,[],[f146]) ).

fof(f328,plain,
    v9_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
    inference(unit_resulting_resolution,[],[f188,f190,f192,f193,f194,f245]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f327,plain,
    ~ v7_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
    inference(unit_resulting_resolution,[],[f188,f190,f192,f193,f194,f244]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f3008,plain,
    ( ~ v6_conlat_1(k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | u4_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))) ),
    inference(forward_demodulation,[],[f3007,f456]) ).

fof(f456,plain,
    k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f293,f295,f327,f328,f329,f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
      | ~ l3_conlat_1(X1,X0)
      | ~ v9_conlat_1(X1,X0)
      | v7_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,axiom,
    ! [X0,X1] :
      ( ( l3_conlat_1(X1,X0)
        & v9_conlat_1(X1,X0)
        & ~ v7_conlat_1(X1,X0)
        & l2_conlat_1(X0)
        & ~ v3_conlat_1(X0) )
     => k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',redefinition_k9_conlat_2) ).

fof(f3007,plain,
    ( u4_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))) ),
    inference(forward_demodulation,[],[f3006,f494]) ).

fof(f494,plain,
    u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
    inference(subsumption_resolution,[],[f493,f326]) ).

fof(f326,plain,
    v6_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
    inference(unit_resulting_resolution,[],[f188,f190,f192,f193,f194,f243]) ).

fof(f493,plain,
    ( ~ v6_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) ),
    inference(forward_demodulation,[],[f492,f325]) ).

fof(f325,plain,
    k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1),
    inference(unit_resulting_resolution,[],[f188,f190,f192,f193,f194,f242]) ).

fof(f492,plain,
    ( u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f491,f329]) ).

fof(f491,plain,
    ( ~ l3_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
    inference(forward_demodulation,[],[f490,f325]) ).

fof(f490,plain,
    ( u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f489,f188]) ).

fof(f489,plain,
    ( u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | v3_conlat_1(sK0) ),
    inference(subsumption_resolution,[],[f488,f190]) ).

fof(f488,plain,
    ( u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l2_conlat_1(sK0)
    | v3_conlat_1(sK0) ),
    inference(subsumption_resolution,[],[f479,f194]) ).

fof(f479,plain,
    ( u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l3_conlat_1(sK1,sK0)
    | ~ l2_conlat_1(sK0)
    | v3_conlat_1(sK0) ),
    inference(superposition,[],[f285,f325]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
      | ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(equality_resolution,[],[f225]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
      | k8_conlat_2(X0,X1) != X2
      | ~ l3_conlat_1(X2,k7_conlat_2(X0))
      | ~ v6_conlat_1(X2,k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k8_conlat_2(X0,X1) = X2
                  | u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2)
                  | u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2) )
                & ( ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
                    & u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) )
                  | k8_conlat_2(X0,X1) != X2 ) )
              | ~ l3_conlat_1(X2,k7_conlat_2(X0))
              | ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
          | ~ l3_conlat_1(X1,X0) )
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(flattening,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k8_conlat_2(X0,X1) = X2
                  | u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2)
                  | u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2) )
                & ( ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
                    & u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) )
                  | k8_conlat_2(X0,X1) != X2 ) )
              | ~ l3_conlat_1(X2,k7_conlat_2(X0))
              | ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
          | ~ l3_conlat_1(X1,X0) )
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k8_conlat_2(X0,X1) = X2
              <=> ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
                  & u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) ) )
              | ~ l3_conlat_1(X2,k7_conlat_2(X0))
              | ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
          | ~ l3_conlat_1(X1,X0) )
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k8_conlat_2(X0,X1) = X2
              <=> ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
                  & u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) ) )
              | ~ l3_conlat_1(X2,k7_conlat_2(X0))
              | ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
          | ~ l3_conlat_1(X1,X0) )
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ( l2_conlat_1(X0)
        & ~ v3_conlat_1(X0) )
     => ! [X1] :
          ( l3_conlat_1(X1,X0)
         => ! [X2] :
              ( ( l3_conlat_1(X2,k7_conlat_2(X0))
                & v6_conlat_1(X2,k7_conlat_2(X0)) )
             => ( k8_conlat_2(X0,X1) = X2
              <=> ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
                  & u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',d8_conlat_2) ).

fof(f3006,plain,
    ( u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))) ),
    inference(forward_demodulation,[],[f3005,f456]) ).

fof(f3005,plain,
    ( u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))) ),
    inference(subsumption_resolution,[],[f3004,f293]) ).

fof(f3004,plain,
    ( u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | v3_conlat_1(k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f3003,f295]) ).

fof(f3003,plain,
    ( u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ l2_conlat_1(k7_conlat_2(sK0))
    | v3_conlat_1(k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f3002,f329]) ).

fof(f3002,plain,
    ( u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ l3_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l2_conlat_1(k7_conlat_2(sK0))
    | v3_conlat_1(k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f2967,f460]) ).

fof(f460,plain,
    l3_conlat_1(k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))),
    inference(unit_resulting_resolution,[],[f293,f295,f327,f328,f329,f246]) ).

fof(f2967,plain,
    ( ~ l3_conlat_1(k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | u5_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ l3_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l2_conlat_1(k7_conlat_2(sK0))
    | v3_conlat_1(k7_conlat_2(sK0)) ),
    inference(superposition,[],[f286,f456]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
      | ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(equality_resolution,[],[f224]) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2)
      | k8_conlat_2(X0,X1) != X2
      | ~ l3_conlat_1(X2,k7_conlat_2(X0))
      | ~ v6_conlat_1(X2,k7_conlat_2(X0))
      | ~ l3_conlat_1(X1,X0)
      | ~ l2_conlat_1(X0)
      | v3_conlat_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f2989,plain,
    k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = g3_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))),u5_conlat_1(sK0,sK1)),
    inference(backward_demodulation,[],[f1812,f2987]) ).

fof(f2987,plain,
    u5_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))),
    inference(subsumption_resolution,[],[f2986,f457]) ).

fof(f2986,plain,
    ( ~ v6_conlat_1(k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | u5_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))) ),
    inference(forward_demodulation,[],[f2985,f456]) ).

fof(f2985,plain,
    ( u5_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))) ),
    inference(subsumption_resolution,[],[f2984,f460]) ).

fof(f2984,plain,
    ( ~ l3_conlat_1(k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | u5_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))) ),
    inference(forward_demodulation,[],[f2983,f456]) ).

fof(f2983,plain,
    ( u5_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ l3_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))) ),
    inference(forward_demodulation,[],[f2982,f513]) ).

fof(f513,plain,
    u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
    inference(subsumption_resolution,[],[f512,f326]) ).

fof(f512,plain,
    ( ~ v6_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) ),
    inference(forward_demodulation,[],[f511,f325]) ).

fof(f511,plain,
    ( u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
    inference(forward_demodulation,[],[f510,f325]) ).

fof(f510,plain,
    ( u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f509,f188]) ).

fof(f509,plain,
    ( u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | v3_conlat_1(sK0) ),
    inference(subsumption_resolution,[],[f508,f190]) ).

fof(f508,plain,
    ( u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l2_conlat_1(sK0)
    | v3_conlat_1(sK0) ),
    inference(subsumption_resolution,[],[f507,f194]) ).

fof(f507,plain,
    ( u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l3_conlat_1(sK1,sK0)
    | ~ l2_conlat_1(sK0)
    | v3_conlat_1(sK0) ),
    inference(subsumption_resolution,[],[f482,f329]) ).

fof(f482,plain,
    ( ~ l3_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
    | ~ v6_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l3_conlat_1(sK1,sK0)
    | ~ l2_conlat_1(sK0)
    | v3_conlat_1(sK0) ),
    inference(superposition,[],[f286,f325]) ).

fof(f2982,plain,
    ( u4_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ l3_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0))) ),
    inference(subsumption_resolution,[],[f2981,f293]) ).

fof(f2981,plain,
    ( u4_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ l3_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | v3_conlat_1(k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f2980,f295]) ).

fof(f2980,plain,
    ( u4_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ l3_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ l2_conlat_1(k7_conlat_2(sK0))
    | v3_conlat_1(k7_conlat_2(sK0)) ),
    inference(subsumption_resolution,[],[f2964,f329]) ).

fof(f2964,plain,
    ( u4_conlat_1(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))
    | ~ l3_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ v6_conlat_1(k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),k7_conlat_2(k7_conlat_2(sK0)))
    | ~ l3_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
    | ~ l2_conlat_1(k7_conlat_2(sK0))
    | v3_conlat_1(k7_conlat_2(sK0)) ),
    inference(superposition,[],[f285,f456]) ).

fof(f1812,plain,
    k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = g3_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))),u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)))),
    inference(unit_resulting_resolution,[],[f580,f457,f460,f251]) ).

fof(f580,plain,
    l1_conlat_1(k7_conlat_2(k7_conlat_2(sK0))),
    inference(unit_resulting_resolution,[],[f347,f205]) ).

fof(f347,plain,
    l2_conlat_1(k7_conlat_2(k7_conlat_2(sK0))),
    inference(unit_resulting_resolution,[],[f293,f295,f223]) ).

fof(f1266,plain,
    spl22_1,
    inference(avatar_contradiction_clause,[],[f1265]) ).

fof(f1265,plain,
    ( $false
    | spl22_1 ),
    inference(subsumption_resolution,[],[f1264,f1121]) ).

fof(f1121,plain,
    m2_relset_1(k4_relat_1(u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0)),
    inference(backward_demodulation,[],[f1114,f1113]) ).

fof(f1114,plain,
    m2_relset_1(k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0)),
    inference(unit_resulting_resolution,[],[f469,f258]) ).

fof(f258,plain,
    ! [X2,X0,X1] :
      ( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( m1_relset_1(X2,X0,X1)
     => m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',dt_k6_relset_1) ).

fof(f1264,plain,
    ( ~ m2_relset_1(k4_relat_1(u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0))
    | spl22_1 ),
    inference(unit_resulting_resolution,[],[f1123,f273]) ).

fof(f1123,plain,
    ( ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0))
    | spl22_1 ),
    inference(backward_demodulation,[],[f546,f1113]) ).

fof(f546,plain,
    ( ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0))
    | spl22_1 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f558,plain,
    ( ~ spl22_1
    | spl22_4 ),
    inference(avatar_split_clause,[],[f540,f556,f544]) ).

fof(f540,plain,
    ! [X14,X12,X13] :
      ( k7_conlat_2(sK0) != g2_conlat_1(X12,X13,X14)
      | k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = X14
      | ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0)) ),
    inference(superposition,[],[f264,f292]) ).

fof(f292,plain,
    k7_conlat_2(sK0) = g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0))),
    inference(unit_resulting_resolution,[],[f188,f190,f220]) ).

fof(f264,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X2 = X5
      | g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X2 = X5
            & X1 = X4
            & X0 = X3 )
          | g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5) )
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( m1_relset_1(X2,X0,X1)
     => ! [X3,X4,X5] :
          ( g2_conlat_1(X0,X1,X2) = g2_conlat_1(X3,X4,X5)
         => ( X2 = X5
            & X1 = X4
            & X0 = X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825',free_g2_conlat_1) ).

fof(f554,plain,
    ( ~ spl22_1
    | spl22_3 ),
    inference(avatar_split_clause,[],[f538,f552,f544]) ).

fof(f538,plain,
    ! [X8,X6,X7] :
      ( k7_conlat_2(sK0) != g2_conlat_1(X6,X7,X8)
      | u1_conlat_1(sK0) = X7
      | ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0)) ),
    inference(superposition,[],[f263,f292]) ).

fof(f263,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X1 = X4
      | g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f550,plain,
    ( ~ spl22_1
    | spl22_2 ),
    inference(avatar_split_clause,[],[f536,f548,f544]) ).

fof(f536,plain,
    ! [X2,X0,X1] :
      ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK0)
      | u2_conlat_1(sK0) = X0
      | ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),u2_conlat_1(sK0),u1_conlat_1(sK0)) ),
    inference(superposition,[],[f262,f292]) ).

fof(f262,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 = X3
      | g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
      | ~ m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36  % Computer : n003.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Thu Aug 24 06:01:07 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825
% 0.16/0.36  % (16945)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.42  % (16951)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.16/0.42  % (16948)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.16/0.42  % (16949)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.16/0.42  % (16953)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.42  % (16947)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.16/0.43  % (16962)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.46  % (16963)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.50  % (16951)First to succeed.
% 0.22/0.51  % (16951)Refutation found. Thanks to Tanya!
% 0.22/0.51  % SZS status Theorem for Vampire---4
% 0.22/0.51  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.51  % (16951)------------------------------
% 0.22/0.51  % (16951)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51  % (16951)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51  % (16951)Termination reason: Refutation
% 0.22/0.51  
% 0.22/0.51  % (16951)Memory used [KB]: 8571
% 0.22/0.51  % (16951)Time elapsed: 0.082 s
% 0.22/0.51  % (16951)------------------------------
% 0.22/0.51  % (16951)------------------------------
% 0.22/0.51  % (16945)Success in time 0.141 s
% 0.22/0.51  16963 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.OORAa2Fr9Y/Vampire---4.8_16825
% 0.22/0.51  % (16963)------------------------------
% 0.22/0.51  % (16963)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51  % (16963)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51  % (16963)Termination reason: Unknown
% 0.22/0.51  % (16963)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (16963)Memory used [KB]: 1151
% 0.22/0.51  % (16963)Time elapsed: 0.049 s
% 0.22/0.51  % (16963)------------------------------
% 0.22/0.51  % (16963)------------------------------
% 0.22/0.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------