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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT356+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:47:16 AM UTC 2026

% Result   : Theorem 31.00s 13.11s
% Output   : Refutation 72.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  149 (  21 unt;   6 def)
%            Number of atoms       : 1067 (  46 equ)
%            Maximal formula atoms :   25 (   7 avg)
%            Number of connectives : 1682 ( 764   ~; 776   |; 104   &)
%                                         (  12 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   27 (  25 usr;   7 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-4 aty)
%            Number of variables   :   99 (   0 sgn  97   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19627,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).

fof(f26848,axiom,
    ! [X0] :
      ( l1_struct_0(X0)
     => ( v1_funct_1(k7_grcat_1(X0))
        & v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
        & m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_grcat_1) ).

fof(f28604,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v1_lattice3(X0)
       => ~ v3_struct_0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).

fof(f28633,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_orders_2(X0) )
     => ( v3_lattice3(X0)
       => ( v1_lattice3(X0)
          & v2_lattice3(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_lattice3) ).

fof(f40212,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v1_relat_1(k7_grcat_1(X0))
        & v1_funct_1(k7_grcat_1(X0))
        & v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
        & v23_waybel_0(k7_grcat_1(X0),X0,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_1) ).

fof(f45779,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_orders_2(X0) )
     => v17_waybel_0(k7_grcat_1(X0),X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_waybel22) ).

fof(f55687,axiom,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0)
        & v1_lattice3(X0)
        & v2_lattice3(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( v2_orders_2(X1)
            & v3_orders_2(X1)
            & v4_orders_2(X1)
            & v1_lattice3(X1)
            & v2_lattice3(X1)
            & l1_orders_2(X1) )
         => ! [X2] :
              ( ( v1_funct_1(X2)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
             => ( ( v3_lattice3(X0)
                  & v3_lattice3(X1)
                  & v17_waybel_0(X2,X0,X1) )
               => ! [X3] :
                    ( ( v1_funct_1(X3)
                      & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
                      & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
                   => ( X3 = k1_waybel34(X0,X1,X2)
                    <=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_waybel34) ).

fof(f55688,axiom,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0)
        & v1_lattice3(X0)
        & v2_lattice3(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( v2_orders_2(X1)
            & v3_orders_2(X1)
            & v4_orders_2(X1)
            & v1_lattice3(X1)
            & v2_lattice3(X1)
            & l1_orders_2(X1) )
         => ! [X2] :
              ( ( v1_funct_1(X2)
                & v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
                & m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
             => ( ( v3_lattice3(X0)
                  & v3_lattice3(X1)
                  & v18_waybel_0(X2,X1,X0) )
               => ! [X3] :
                    ( ( v1_funct_1(X3)
                      & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                      & m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
                   => ( X3 = k2_waybel34(X0,X1,X2)
                    <=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).

fof(f55689,axiom,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0)
        & v1_lattice3(X0)
        & v2_lattice3(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( v2_orders_2(X1)
            & v3_orders_2(X1)
            & v4_orders_2(X1)
            & v1_lattice3(X1)
            & v2_lattice3(X1)
            & l1_orders_2(X1) )
         => ( ( v3_lattice3(X0)
              & v3_lattice3(X1) )
           => ! [X2] :
                ( ( v1_funct_1(X2)
                  & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
               => ( v17_waybel_0(X2,X0,X1)
                 => ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
                    & v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
                    & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_waybel34) ).

fof(f55700,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_orders_2(X0) )
     => v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_waybel34) ).

fof(f55701,conjecture,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0)
        & v1_lattice3(X0)
        & v2_lattice3(X0)
        & v3_lattice3(X0)
        & l1_orders_2(X0) )
     => ( k1_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
        & k2_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel34) ).

fof(f55702,negated_conjecture,
    ~ ! [X0] :
        ( ( v2_orders_2(X0)
          & v3_orders_2(X0)
          & v4_orders_2(X0)
          & v1_lattice3(X0)
          & v2_lattice3(X0)
          & v3_lattice3(X0)
          & l1_orders_2(X0) )
       => ( k1_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
          & k2_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f55701]) ).

fof(f56185,plain,
    ? [X0] :
      ( ( k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(X0))
        | k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(X0)) )
      & v2_orders_2(X0)
      & v3_orders_2(X0)
      & v4_orders_2(X0)
      & v1_lattice3(X0)
      & v2_lattice3(X0)
      & v3_lattice3(X0)
      & l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f55702]) ).

fof(f56186,plain,
    ? [X0] :
      ( ( k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(X0))
        | k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(X0)) )
      & v2_orders_2(X0)
      & v3_orders_2(X0)
      & v4_orders_2(X0)
      & v1_lattice3(X0)
      & v2_lattice3(X0)
      & v3_lattice3(X0)
      & l1_orders_2(X0) ),
    inference(flattening,[],[f56185]) ).

fof(f56192,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v1_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f28604]) ).

fof(f56193,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v1_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f56192]) ).

fof(f56196,plain,
    ! [X0] :
      ( ( v1_lattice3(X0)
        & v2_lattice3(X0) )
      | ~ v3_lattice3(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f28633]) ).

fof(f56197,plain,
    ! [X0] :
      ( ( v1_lattice3(X0)
        & v2_lattice3(X0) )
      | ~ v3_lattice3(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f56196]) ).

fof(f56229,plain,
    ! [X0] :
      ( v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f45779]) ).

fof(f56230,plain,
    ! [X0] :
      ( v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f56229]) ).

fof(f56243,plain,
    ! [X0] :
      ( ( v1_relat_1(k7_grcat_1(X0))
        & v1_funct_1(k7_grcat_1(X0))
        & v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
        & v23_waybel_0(k7_grcat_1(X0),X0,X0) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f40212]) ).

fof(f56254,plain,
    ! [X0] :
      ( ( v1_funct_1(k7_grcat_1(X0))
        & v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
        & m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f26848]) ).

fof(f56268,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
                & v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
                & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0) )
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
          | ~ v3_lattice3(X0)
          | ~ v3_lattice3(X1)
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f55689]) ).

fof(f56269,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
                & v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
                & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0) )
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
          | ~ v3_lattice3(X0)
          | ~ v3_lattice3(X1)
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f56268]) ).

fof(f56270,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X3 = k1_waybel34(X0,X1,X2)
                  <=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
                  | ~ v1_funct_1(X3)
                  | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
                  | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
              | ~ v3_lattice3(X0)
              | ~ v3_lattice3(X1)
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f55687]) ).

fof(f56271,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X3 = k1_waybel34(X0,X1,X2)
                  <=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
                  | ~ v1_funct_1(X3)
                  | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
                  | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
              | ~ v3_lattice3(X0)
              | ~ v3_lattice3(X1)
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f56270]) ).

fof(f56280,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X3 = k2_waybel34(X0,X1,X2)
                  <=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
                  | ~ v1_funct_1(X3)
                  | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
              | ~ v3_lattice3(X0)
              | ~ v3_lattice3(X1)
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f55688]) ).

fof(f56281,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X3 = k2_waybel34(X0,X1,X2)
                  <=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
                  | ~ v1_funct_1(X3)
                  | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
              | ~ v3_lattice3(X0)
              | ~ v3_lattice3(X1)
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f56280]) ).

fof(f56696,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f19627]) ).

fof(f58280,plain,
    ! [X0] :
      ( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f55700]) ).

fof(f58281,plain,
    ! [X0] :
      ( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f58280]) ).

fof(f69112,plain,
    ( ( k7_grcat_1(sK468) != k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
      | k7_grcat_1(sK468) != k2_waybel34(sK468,sK468,k7_grcat_1(sK468)) )
    & v2_orders_2(sK468)
    & v3_orders_2(sK468)
    & v4_orders_2(sK468)
    & v1_lattice3(sK468)
    & v2_lattice3(sK468)
    & v3_lattice3(sK468)
    & l1_orders_2(sK468) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK468]),skolemize(X0,sK468)],[f56186]) ).

fof(f69137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( X3 = k1_waybel34(X0,X1,X2)
                      | ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
                    & ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
                      | k1_waybel34(X0,X1,X2) != X3 ) )
                  | ~ v1_funct_1(X3)
                  | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
                  | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
              | ~ v3_lattice3(X0)
              | ~ v3_lattice3(X1)
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(nnf_transformation,[],[f56271]) ).

fof(f69140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( X3 = k2_waybel34(X0,X1,X2)
                      | ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
                    & ( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
                      | k2_waybel34(X0,X1,X2) != X3 ) )
                  | ~ v1_funct_1(X3)
                  | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
              | ~ v3_lattice3(X0)
              | ~ v3_lattice3(X1)
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_1(X2)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v1_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(nnf_transformation,[],[f56281]) ).

fof(f73229,plain,
    l1_orders_2(sK468),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73230,plain,
    v3_lattice3(sK468),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73231,plain,
    v2_lattice3(sK468),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73232,plain,
    v1_lattice3(sK468),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73233,plain,
    v4_orders_2(sK468),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73234,plain,
    v3_orders_2(sK468),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73235,plain,
    v2_orders_2(sK468),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73236,plain,
    ( k7_grcat_1(sK468) != k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | k7_grcat_1(sK468) != k2_waybel34(sK468,sK468,k7_grcat_1(sK468)) ),
    inference(cnf_transformation,[],[f69112]) ).

fof(f73242,plain,
    ! [X0] :
      ( ~ v1_lattice3(X0)
      | ~ v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56193]) ).

fof(f73247,plain,
    ! [X0] :
      ( ~ v3_lattice3(X0)
      | v2_lattice3(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56197]) ).

fof(f73248,plain,
    ! [X0] :
      ( ~ v3_lattice3(X0)
      | v1_lattice3(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56197]) ).

fof(f73336,plain,
    ! [X0] :
      ( v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56230]) ).

fof(f73381,plain,
    ! [X0] :
      ( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56243]) ).

fof(f73382,plain,
    ! [X0] :
      ( v1_funct_1(k7_grcat_1(X0))
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56243]) ).

fof(f73394,plain,
    ! [X0] :
      ( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f56254]) ).

fof(f73415,plain,
    ! [X2,X0,X1] :
      ( v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v3_lattice3(X0)
      | ~ v3_lattice3(X1)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56269]) ).

fof(f73418,plain,
    ! [X2,X3,X0,X1] :
      ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
      | k1_waybel34(X0,X1,X2) != X3
      | ~ v1_funct_1(X3)
      | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
      | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v3_lattice3(X1)
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f69137]) ).

fof(f73419,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
      | k1_waybel34(X0,X1,X2) = X3
      | ~ v1_funct_1(X3)
      | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
      | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v3_lattice3(X1)
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f69137]) ).

fof(f73439,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
      | k2_waybel34(X0,X1,X2) = X3
      | ~ v1_funct_1(X3)
      | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v3_lattice3(X0)
      | ~ v3_lattice3(X1)
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f69140]) ).

fof(f74335,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f56696]) ).

fof(f76848,plain,
    ! [X0] :
      ( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f58281]) ).

fof(f95788,plain,
    ! [X2,X0,X1] :
      ( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1)
      | ~ v1_funct_1(k1_waybel34(X0,X1,X2))
      | ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
      | ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v3_lattice3(X1)
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(equality_resolution,[],[f73418]) ).

fof(f99379,definition,
    ( spl2689_78
  <=> k7_grcat_1(sK468) = k2_waybel34(sK468,sK468,k7_grcat_1(sK468)) ),
    introduced(definition,[new_symbols(definition,[spl2689_78])],[avatar_definition]) ).

fof(f99381,plain,
    ( k7_grcat_1(sK468) != k2_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | spl2689_78 ),
    inference(avatar_component_clause,[],[f99379]) ).

fof(f99383,definition,
    ( spl2689_79
  <=> k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468)) ),
    introduced(definition,[new_symbols(definition,[spl2689_79])],[avatar_definition]) ).

fof(f99384,plain,
    ( k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | ~ spl2689_79 ),
    inference(avatar_component_clause,[],[f99383]) ).

fof(f99386,plain,
    ( ~ spl2689_78
    | ~ spl2689_79 ),
    inference(avatar_split_clause,[],[f73236,f99383,f99379]) ).

fof(f104272,plain,
    ! [X0] :
      ( k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v1_funct_1(k7_grcat_1(X0))
      | ~ v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | ~ v1_funct_1(k7_grcat_1(X0))
      | ~ v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(resolution,[],[f73419,f76848]) ).

fof(f104277,plain,
    ! [X0] :
      ( k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v1_funct_1(k7_grcat_1(X0))
      | ~ v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(duplicate_literal_removal,[],[f104272]) ).

fof(f104295,plain,
    ( ~ v3_struct_0(sK468)
    | ~ l1_orders_2(sK468) ),
    inference(resolution,[],[f73242,f73232]) ).

fof(f104297,plain,
    l1_struct_0(sK468),
    inference(resolution,[],[f74335,f73229]) ).

fof(f104462,plain,
    ! [X0] :
      ( k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v1_funct_1(k7_grcat_1(X0))
      | ~ v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f104277,f73248]) ).

fof(f104471,plain,
    ~ v3_struct_0(sK468),
    inference(forward_subsumption_resolution,[],[f104295,f73229]) ).

fof(f104547,plain,
    ! [X0] :
      ( k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v1_funct_1(k7_grcat_1(X0))
      | ~ v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f104462,f73247]) ).

fof(f104581,plain,
    ! [X0] :
      ( k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f104547,f73382]) ).

fof(f104591,plain,
    ! [X0] :
      ( k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ v3_lattice3(X0)
      | ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f104581,f73381]) ).

fof(f104599,plain,
    ! [X0] :
      ( ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
      | k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v3_lattice3(X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f104591,f73336]) ).

fof(f104617,plain,
    ! [X0] :
      ( k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v3_lattice3(X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(resolution,[],[f104599,f73394]) ).

fof(f104619,plain,
    ! [X0] :
      ( ~ v3_lattice3(X0)
      | k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f104617,f74335]) ).

fof(f104620,plain,
    ( k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ l1_orders_2(sK468)
    | v3_struct_0(sK468) ),
    inference(resolution,[],[f104619,f73230]) ).

fof(f104621,plain,
    ( k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ l1_orders_2(sK468)
    | v3_struct_0(sK468) ),
    inference(forward_subsumption_resolution,[],[f104620,f73235]) ).

fof(f104622,plain,
    ( k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | ~ v4_orders_2(sK468)
    | ~ l1_orders_2(sK468)
    | v3_struct_0(sK468) ),
    inference(forward_subsumption_resolution,[],[f104621,f73234]) ).

fof(f104623,plain,
    ( k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | ~ l1_orders_2(sK468)
    | v3_struct_0(sK468) ),
    inference(forward_subsumption_resolution,[],[f104622,f73233]) ).

fof(f104624,plain,
    ( k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | v3_struct_0(sK468) ),
    inference(forward_subsumption_resolution,[],[f104623,f73229]) ).

fof(f104625,plain,
    k7_grcat_1(sK468) = k1_waybel34(sK468,sK468,k7_grcat_1(sK468)),
    inference(forward_subsumption_resolution,[],[f104624,f104471]) ).

fof(f104626,plain,
    spl2689_79,
    inference(avatar_split_clause,[],[f104625,f99383]) ).

fof(f104628,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v3_lattice3(sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(superposition,[],[f73415,f99384]) ).

fof(f104633,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v3_lattice3(sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(superposition,[],[f95788,f99384]) ).

fof(f104634,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(duplicate_literal_removal,[],[f104633]) ).

fof(f104639,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(duplicate_literal_removal,[],[f104628]) ).

fof(f104640,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104634,f73382]) ).

fof(f104643,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104639,f73382]) ).

fof(f104653,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104640,f73381]) ).

fof(f104656,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104643,f73381]) ).

fof(f104657,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104653,f73230]) ).

fof(f104660,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104656,f73230]) ).

fof(f104661,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104657,f73235]) ).

fof(f104664,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104660,f73235]) ).

fof(f104665,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104661,f73234]) ).

fof(f104668,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104664,f73234]) ).

fof(f104669,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104665,f73233]) ).

fof(f104672,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104668,f73233]) ).

fof(f104673,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104669,f73232]) ).

fof(f104676,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104672,f73232]) ).

fof(f104677,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104673,f73231]) ).

fof(f104680,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ l1_orders_2(sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104676,f73231]) ).

fof(f104681,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104677,f73229]) ).

fof(f104684,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ spl2689_79 ),
    inference(forward_subsumption_resolution,[],[f104680,f73229]) ).

fof(f104686,definition,
    ( spl2689_95
  <=> v17_waybel_0(k7_grcat_1(sK468),sK468,sK468) ),
    introduced(definition,[new_symbols(definition,[spl2689_95])],[avatar_definition]) ).

fof(f104688,plain,
    ( ~ v17_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | spl2689_95 ),
    inference(avatar_component_clause,[],[f104686]) ).

fof(f104690,definition,
    ( spl2689_96
  <=> m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468)) ),
    introduced(definition,[new_symbols(definition,[spl2689_96])],[avatar_definition]) ).

fof(f104691,plain,
    ( m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ spl2689_96 ),
    inference(avatar_component_clause,[],[f104690]) ).

fof(f104692,plain,
    ( ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | spl2689_96 ),
    inference(avatar_component_clause,[],[f104690]) ).

fof(f104694,definition,
    ( spl2689_97
  <=> v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468) ),
    introduced(definition,[new_symbols(definition,[spl2689_97])],[avatar_definition]) ).

fof(f104696,plain,
    ( v3_waybel_1(k1_waybel_1(sK468,sK468,k7_grcat_1(sK468),k7_grcat_1(sK468)),sK468,sK468)
    | ~ spl2689_97 ),
    inference(avatar_component_clause,[],[f104694]) ).

fof(f104697,plain,
    ( ~ spl2689_95
    | ~ spl2689_96
    | spl2689_97
    | ~ spl2689_79 ),
    inference(avatar_split_clause,[],[f104681,f99383,f104694,f104690,f104686]) ).

fof(f104709,definition,
    ( spl2689_100
  <=> v18_waybel_0(k7_grcat_1(sK468),sK468,sK468) ),
    introduced(definition,[new_symbols(definition,[spl2689_100])],[avatar_definition]) ).

fof(f104711,plain,
    ( v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ spl2689_100 ),
    inference(avatar_component_clause,[],[f104709]) ).

fof(f104712,plain,
    ( ~ spl2689_96
    | ~ spl2689_95
    | spl2689_100
    | ~ spl2689_79 ),
    inference(avatar_split_clause,[],[f104684,f99383,f104709,f104686,f104690]) ).

fof(f104714,plain,
    ( v3_struct_0(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_95 ),
    inference(resolution,[],[f104688,f73336]) ).

fof(f104715,plain,
    ( ~ l1_orders_2(sK468)
    | spl2689_95 ),
    inference(forward_subsumption_resolution,[],[f104714,f104471]) ).

fof(f104716,plain,
    ( $false
    | spl2689_95 ),
    inference(forward_subsumption_resolution,[],[f104715,f73229]) ).

fof(f104717,plain,
    spl2689_95,
    inference(avatar_contradiction_clause,[],[f104716]) ).

fof(f104719,plain,
    ( ~ l1_struct_0(sK468)
    | spl2689_96 ),
    inference(resolution,[],[f104692,f73394]) ).

fof(f104720,plain,
    ( $false
    | spl2689_96 ),
    inference(forward_subsumption_resolution,[],[f104719,f104297]) ).

fof(f104721,plain,
    spl2689_96,
    inference(avatar_contradiction_clause,[],[f104720]) ).

fof(f104733,plain,
    ( k7_grcat_1(sK468) = k2_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v3_lattice3(sK468)
    | ~ v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_97 ),
    inference(resolution,[],[f104696,f73439]) ).

fof(f104734,plain,
    ( k7_grcat_1(sK468) = k2_waybel34(sK468,sK468,k7_grcat_1(sK468))
    | ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | ~ spl2689_97 ),
    inference(duplicate_literal_removal,[],[f104733]) ).

fof(f104736,plain,
    ( ~ v1_funct_1(k7_grcat_1(sK468))
    | ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_97 ),
    inference(forward_subsumption_resolution,[],[f104734,f99381]) ).

fof(f104737,plain,
    ( ~ v1_funct_2(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_97 ),
    inference(forward_subsumption_resolution,[],[f104736,f73382]) ).

fof(f104738,plain,
    ( ~ m2_relset_1(k7_grcat_1(sK468),u1_struct_0(sK468),u1_struct_0(sK468))
    | ~ v3_lattice3(sK468)
    | ~ v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_97 ),
    inference(forward_subsumption_resolution,[],[f104737,f73381]) ).

fof(f104739,plain,
    ( ~ v3_lattice3(sK468)
    | ~ v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97 ),
    inference(forward_subsumption_resolution,[],[f104738,f104691]) ).

fof(f104740,plain,
    ( ~ v18_waybel_0(k7_grcat_1(sK468),sK468,sK468)
    | ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97 ),
    inference(forward_subsumption_resolution,[],[f104739,f73230]) ).

fof(f104741,plain,
    ( ~ v2_orders_2(sK468)
    | ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(forward_subsumption_resolution,[],[f104740,f104711]) ).

fof(f104742,plain,
    ( ~ v3_orders_2(sK468)
    | ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(forward_subsumption_resolution,[],[f104741,f73235]) ).

fof(f104743,plain,
    ( ~ v4_orders_2(sK468)
    | ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(forward_subsumption_resolution,[],[f104742,f73234]) ).

fof(f104744,plain,
    ( ~ v1_lattice3(sK468)
    | ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(forward_subsumption_resolution,[],[f104743,f73233]) ).

fof(f104745,plain,
    ( ~ v2_lattice3(sK468)
    | ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(forward_subsumption_resolution,[],[f104744,f73232]) ).

fof(f104746,plain,
    ( ~ l1_orders_2(sK468)
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(forward_subsumption_resolution,[],[f104745,f73231]) ).

fof(f104747,plain,
    ( $false
    | spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(forward_subsumption_resolution,[],[f104746,f73229]) ).

fof(f104748,plain,
    ( spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(avatar_contradiction_clause,[],[f104747]) ).

cnf(s82,plain,
    ( ~ spl2689_78
    | ~ spl2689_79 ),
    inference(sat_conversion,[],[f99386]) ).

cnf(s94,plain,
    spl2689_79,
    inference(sat_conversion,[],[f104626]) ).

cnf(s96,plain,
    ( ~ spl2689_79
    | ~ spl2689_95
    | ~ spl2689_96
    | spl2689_97 ),
    inference(sat_conversion,[],[f104697]) ).

cnf(s99,plain,
    ( ~ spl2689_79
    | ~ spl2689_95
    | ~ spl2689_96
    | spl2689_100 ),
    inference(sat_conversion,[],[f104712]) ).

cnf(s100,plain,
    spl2689_95,
    inference(sat_conversion,[],[f104717]) ).

cnf(s101,plain,
    spl2689_96,
    inference(sat_conversion,[],[f104721]) ).

cnf(s103,plain,
    ( spl2689_78
    | ~ spl2689_96
    | ~ spl2689_97
    | ~ spl2689_100 ),
    inference(sat_conversion,[],[f104748]) ).

cnf(s104,plain,
    ( ~ spl2689_79
    | spl2689_100 ),
    inference(rat,[],[s99,s101,s100]) ).

cnf(s107,plain,
    ( ~ spl2689_79
    | spl2689_97 ),
    inference(rat,[],[s96,s101,s100]) ).

cnf(s108,plain,
    spl2689_100,
    inference(rat,[],[s104,s94]) ).

cnf(s111,plain,
    spl2689_97,
    inference(rat,[],[s107,s94]) ).

cnf(s112,plain,
    spl2689_78,
    inference(rat,[],[s103,s108,s101,s111]) ).

cnf(s113,plain,
    $false,
    inference(rat,[],[s82,s94,s112]) ).

fof(f104749,plain,
    $false,
    inference(avatar_sat_refutation,[],[s113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT356+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  % Computer : n007.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Sun Sep 27 14:56:37 UTC 2026
% 0.15/0.41  % CPUTime  : 
% 0.15/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47  Running first-order theorem proving
% 0.15/0.47  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.76/6.46  % (1543069)Detected formulas, will run a generic FOF schedule.
% 24.76/6.46  % (1543080)dis-21_1_sil=8000:lcm=predicate:random_seed=2849053515:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2975 on theBenchmark for (2975ds/129Mi)
% 24.76/6.46  % (1543079)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=284608649:s2a=on:i=139:gtg=position_2975 on theBenchmark for (2975ds/139Mi)
% 24.76/6.46  % (1543075)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3450865237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2975 on theBenchmark for (2975ds/134677Mi)
% 24.76/6.46  % (1543078)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3299740115:i=119:av=off:ss=axioms_2975 on theBenchmark for (2975ds/119Mi)
% 24.76/6.46  % (1543074)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2839977692:i=141193_2975 on theBenchmark for (2975ds/141193Mi)
% 24.76/6.46  % (1543076)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2649220513:i=141695:sd=1:nm=32:gsp=on:ss=included_2975 on theBenchmark for (2975ds/141695Mi)
% 24.76/6.46  % (1543077)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2756010691:i=109:sd=1:ins=1:gsp=on:ss=axioms_2975 on theBenchmark for (2975ds/109Mi)
% 24.76/6.46  % (1543080)Instruction limit reached! 
% 24.76/6.46  % (1543080)------------------------------
% 24.76/6.46  % (1543080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.76/6.46  % (1543080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.76/6.46  % (1543080)CaDiCaL version: 2.1.3
% 24.76/6.46  % (1543080)Termination reason: Instruction limit
% 24.76/6.46  % (1543080)Termination phase: SInE selection
% 24.76/6.46  % (1543080)Time elapsed: 0.084 s
% 24.76/6.46  % (1543080)Peak memory usage: 173 MB
% 24.76/6.46  % (1543080)Instructions burned: 129 (million)
% 24.76/6.46  % (1543079)Instruction limit reached! 
% 24.76/6.46  % (1543079)------------------------------
% 24.76/6.46  % (1543079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.76/6.46  % (1543079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.76/6.46  % (1543079)CaDiCaL version: 2.1.3
% 24.76/6.46  % (1543079)Termination reason: Instruction limit
% 24.76/6.46  % (1543079)Termination phase: Property scanning
% 24.76/6.46  % (1543079)Time elapsed: 0.078 s
% 24.76/6.46  % (1543079)Peak memory usage: 173 MB
% 24.76/6.46  % (1543079)Instructions burned: 141 (million)
% 24.76/6.46  % (1543078)Instruction limit reached! 
% 24.76/6.46  % (1543078)------------------------------
% 24.76/6.46  % (1543078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.76/6.46  % (1543078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.76/6.46  % (1543078)CaDiCaL version: 2.1.3
% 24.76/6.46  % (1543078)Termination reason: Instruction limit
% 24.76/6.46  % (1543078)Termination phase: SInE selection
% 24.76/6.46  % (1543078)Time elapsed: 0.120 s
% 24.76/6.46  % (1543078)Peak memory usage: 173 MB
% 24.76/6.46  % (1543078)Instructions burned: 119 (million)
% 24.76/6.46  % (1543077)Instruction limit reached! 
% 24.76/6.46  % (1543077)------------------------------
% 24.76/6.46  % (1543077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.76/6.46  % (1543077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.76/6.46  % (1543077)CaDiCaL version: 2.1.3
% 24.76/6.46  % (1543077)Termination reason: Instruction limit
% 24.76/6.46  % (1543077)Termination phase: SInE selection
% 24.76/6.46  % (1543077)Time elapsed: 0.123 s
% 24.76/6.46  % (1543077)Peak memory usage: 173 MB
% 24.76/6.46  % (1543077)Instructions burned: 109 (million)
% 24.76/6.46  % (1543088)lrs+10_1_sil=8000:sp=occurrence:random_seed=1574201768:i=285:sd=3:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/285Mi)
% 24.76/6.46  % (1543090)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1582016680:i=325:sd=1:ss=axioms:sgt=32_2972 on theBenchmark for (2972ds/325Mi)
% 24.76/6.46  % (1543089)lrs+10_1_sil=32000:urr=on:br=off:random_seed=420591669:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/157Mi)
% 24.76/6.46  % (1543088)Instruction limit reached! 
% 24.76/6.46  % (1543088)------------------------------
% 24.76/6.46  % (1543088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.76/6.46  % (1543088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.35/8.19  % (1543088)CaDiCaL version: 2.1.3
% 37.35/8.19  % (1543088)Termination reason: Instruction limit
% 37.35/8.19  % (1543088)Termination phase: SInE selection
% 37.35/8.19  % (1543088)Time elapsed: 0.174 s
% 37.35/8.19  % (1543088)Peak memory usage: 174 MB
% 37.35/8.19  % (1543088)Instructions burned: 285 (million)
% 37.35/8.19  % (1543091)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=126856411:s2a=on:i=248:s2at=1.23:gtg=position_2971 on theBenchmark for (2971ds/248Mi)
% 37.35/8.19  % (1543089)Instruction limit reached! 
% 37.35/8.19  % (1543089)------------------------------
% 37.35/8.19  % (1543089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.35/8.19  % (1543089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.35/8.19  % (1543089)CaDiCaL version: 2.1.3
% 37.35/8.19  % (1543089)Termination reason: Instruction limit
% 37.35/8.19  % (1543089)Termination phase: Property scanning
% 37.35/8.19  % (1543089)Time elapsed: 0.131 s
% 37.35/8.19  % (1543089)Peak memory usage: 173 MB
% 37.35/8.19  % (1543089)Instructions burned: 157 (million)
% 37.35/8.19  % (1543095)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=658785230:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2969 on theBenchmark for (2969ds/294Mi)
% 37.35/8.19  % (1543090)Instruction limit reached! 
% 37.35/8.19  % (1543090)------------------------------
% 37.35/8.19  % (1543090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.35/8.19  % (1543090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.35/8.19  % (1543090)CaDiCaL version: 2.1.3
% 37.35/8.19  % (1543090)Termination reason: Instruction limit
% 37.35/8.19  % (1543090)Termination phase: SInE selection
% 37.35/8.19  % (1543090)Time elapsed: 0.350 s
% 37.35/8.19  % (1543090)Peak memory usage: 174 MB
% 37.35/8.19  % (1543090)Instructions burned: 325 (million)
% 37.35/8.19  % (1543091)Instruction limit reached! 
% 37.35/8.19  % (1543091)------------------------------
% 37.35/8.19  % (1543091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.35/8.19  % (1543091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.35/8.19  % (1543091)CaDiCaL version: 2.1.3
% 37.35/8.19  % (1543091)Termination reason: Instruction limit
% 37.35/8.19  % (1543091)Termination phase: Property scanning
% 37.35/8.19  % (1543091)Time elapsed: 0.213 s
% 37.35/8.19  % (1543091)Peak memory usage: 173 MB
% 37.35/8.19  % (1543091)Instructions burned: 249 (million)
% 37.35/8.19  % (1543097)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=773856712:i=2350_2968 on theBenchmark for (2968ds/2350Mi)
% 37.35/8.19  % (1543100)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1184626735:i=127:av=off:fsr=off:sup=off_2966 on theBenchmark for (2966ds/127Mi)
% 37.35/8.19  % (1543095)Instruction limit reached! 
% 37.35/8.19  % (1543095)------------------------------
% 37.35/8.19  % (1543095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.35/8.19  % (1543095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.35/8.19  % (1543095)CaDiCaL version: 2.1.3
% 37.35/8.19  % (1543095)Termination reason: Instruction limit
% 37.35/8.19  % (1543095)Termination phase: SInE selection
% 37.35/8.19  % (1543095)Time elapsed: 0.246 s
% 37.35/8.19  % (1543095)Peak memory usage: 173 MB
% 37.35/8.19  % (1543095)Instructions burned: 294 (million)
% 37.35/8.19  % (1543100)Instruction limit reached! 
% 37.35/8.19  % (1543100)------------------------------
% 37.35/8.19  % (1543100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.35/8.19  % (1543100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.35/8.19  % (1543100)CaDiCaL version: 2.1.3
% 37.35/8.19  % (1543100)Termination reason: Instruction limit
% 37.35/8.19  % (1543100)Termination phase: Preprocessing 1
% 37.35/8.19  % (1543100)Time elapsed: 0.089 s
% 37.35/8.19  % (1543100)Peak memory usage: 174 MB
% 37.35/8.19  % (1543100)Instructions burned: 128 (million)
% 37.35/8.19  % (1543099)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=540721445:cts=off:i=113:fsr=off:ss=included:sgt=4_2966 on theBenchmark for (2966ds/113Mi)
% 37.35/8.19  % (1543099)Instruction limit reached! 
% 37.35/8.19  % (1543099)------------------------------
% 37.35/8.19  % (1543099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.35/8.19  % (1543099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.35/8.19  % (1543099)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543099)Termination reason: Instruction limit
% 31.00/13.11  % (1543099)Termination phase: SInE selection
% 31.00/13.11  % (1543099)Time elapsed: 0.122 s
% 31.00/13.11  % (1543099)Peak memory usage: 173 MB
% 31.00/13.11  % (1543099)Instructions burned: 113 (million)
% 31.00/13.11  % (1543105)lrs+10_1_sil=8000:sp=occurrence:random_seed=149681440:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2964 on theBenchmark for (2964ds/907Mi)
% 31.00/13.11  % (1543103)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2035977100:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2964 on theBenchmark for (2964ds/114Mi)
% 31.00/13.11  % (1543103)Instruction limit reached! 
% 31.00/13.11  % (1543103)------------------------------
% 31.00/13.11  % (1543103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543103)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543103)Termination reason: Instruction limit
% 31.00/13.11  % (1543103)Termination phase: Property scanning
% 31.00/13.11  % (1543103)Time elapsed: 0.097 s
% 31.00/13.11  % (1543103)Peak memory usage: 173 MB
% 31.00/13.11  % (1543103)Instructions burned: 114 (million)
% 31.00/13.11  % (1543106)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2846184567:i=437:sd=1:aac=none:ss=included_2962 on theBenchmark for (2962ds/437Mi)
% 31.00/13.11  % (1543109)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3714135739:i=5202:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/5202Mi)
% 31.00/13.11  % (1543105)Instruction limit reached! 
% 31.00/13.11  % (1543105)------------------------------
% 31.00/13.11  % (1543105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543105)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543105)Termination reason: Instruction limit
% 31.00/13.11  % (1543105)Termination phase: Naming
% 31.00/13.11  % (1543105)Time elapsed: 0.614 s
% 31.00/13.11  % (1543105)Peak memory usage: 192 MB
% 31.00/13.11  % (1543105)Instructions burned: 909 (million)
% 31.00/13.11  % (1543106)Instruction limit reached! 
% 31.00/13.11  % (1543106)------------------------------
% 31.00/13.11  % (1543106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543106)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543106)Termination reason: Instruction limit
% 31.00/13.11  % (1543106)Termination phase: Preprocessing 2
% 31.00/13.11  % (1543106)Time elapsed: 0.500 s
% 31.00/13.11  % (1543106)Peak memory usage: 176 MB
% 31.00/13.11  % (1543106)Instructions burned: 437 (million)
% 31.00/13.11  % (1543112)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3502219828:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2955 on theBenchmark for (2955ds/134Mi)
% 31.00/13.11  % (1543112)Instruction limit reached! 
% 31.00/13.11  % (1543112)------------------------------
% 31.00/13.11  % (1543112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543112)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543112)Termination reason: Instruction limit
% 31.00/13.11  % (1543112)Termination phase: SInE selection
% 31.00/13.11  % (1543112)Time elapsed: 0.089 s
% 31.00/13.11  % (1543112)Peak memory usage: 173 MB
% 31.00/13.11  % (1543112)Instructions burned: 134 (million)
% 31.00/13.11  % (1543113)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2874838007:st=8:i=592:sd=3:ep=RST:ss=axioms_2954 on theBenchmark for (2954ds/592Mi)
% 31.00/13.11  % (1543115)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2207830981:st=3:i=13193:sd=3:ss=axioms_2952 on theBenchmark for (2952ds/13193Mi)
% 31.00/13.11  % (1543113)Instruction limit reached! 
% 31.00/13.11  % (1543113)------------------------------
% 31.00/13.11  % (1543113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543113)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543113)Termination reason: Instruction limit
% 31.00/13.11  % (1543113)Termination phase: SInE selection
% 31.00/13.11  % (1543113)Time elapsed: 0.525 s
% 31.00/13.11  % (1543113)Peak memory usage: 175 MB
% 31.00/13.11  % (1543113)Instructions burned: 592 (million)
% 31.00/13.11  % (1543120)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3855484335:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/125Mi)
% 31.00/13.11  % (1543120)Instruction limit reached! 
% 31.00/13.11  % (1543120)------------------------------
% 31.00/13.11  % (1543120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543120)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543120)Termination reason: Instruction limit
% 31.00/13.11  % (1543120)Termination phase: Property scanning
% 31.00/13.11  % (1543120)Time elapsed: 0.109 s
% 31.00/13.11  % (1543120)Peak memory usage: 173 MB
% 31.00/13.11  % (1543120)Instructions burned: 125 (million)
% 31.00/13.11  % (1543123)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=149330714:i=134:gtgl=5:slsql=off:gtg=exists_sym_2942 on theBenchmark for (2942ds/134Mi)
% 31.00/13.11  % (1543097)Instruction limit reached! 
% 31.00/13.11  % (1543097)------------------------------
% 31.00/13.11  % (1543097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543097)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543097)Termination reason: Instruction limit
% 31.00/13.11  % (1543097)Termination phase: Preprocessing 3
% 31.00/13.11  % (1543097)Time elapsed: 2.667 s
% 31.00/13.11  % (1543097)Peak memory usage: 276 MB
% 31.00/13.11  % (1543097)Instructions burned: 2351 (million)
% 31.00/13.11  % (1543123)Instruction limit reached! 
% 31.00/13.11  % (1543123)------------------------------
% 31.00/13.11  % (1543123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543123)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543123)Termination reason: Instruction limit
% 31.00/13.11  % (1543123)Termination phase: Property scanning
% 31.00/13.11  % (1543123)Time elapsed: 0.116 s
% 31.00/13.11  % (1543123)Peak memory usage: 173 MB
% 31.00/13.11  % (1543123)Instructions burned: 134 (million)
% 31.00/13.11  % (1543126)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2180640614:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2939 on theBenchmark for (2939ds/141Mi)
% 31.00/13.11  % (1543127)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2196598326:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2938 on theBenchmark for (2938ds/431Mi)
% 31.00/13.11  % (1543126)Instruction limit reached! 
% 31.00/13.11  % (1543126)------------------------------
% 31.00/13.11  % (1543126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543126)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543126)Termination reason: Instruction limit
% 31.00/13.11  % (1543126)Termination phase: SInE selection
% 31.00/13.11  % (1543126)Time elapsed: 0.157 s
% 31.00/13.11  % (1543126)Peak memory usage: 173 MB
% 31.00/13.11  % (1543126)Instructions burned: 141 (million)
% 31.00/13.11  % (1543130)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=653038281:i=6060:aac=none:ins=25_2934 on theBenchmark for (2934ds/6060Mi)
% 31.00/13.11  % (1543127)Instruction limit reached! 
% 31.00/13.11  % (1543127)------------------------------
% 31.00/13.11  % (1543127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543127)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543127)Termination reason: Instruction limit
% 31.00/13.11  % (1543127)Termination phase: Unused predicate definition removal
% 31.00/13.11  % (1543127)Time elapsed: 0.506 s
% 31.00/13.11  % (1543127)Peak memory usage: 176 MB
% 31.00/13.11  % (1543127)Instructions burned: 431 (million)
% 31.00/13.11  % (1543132)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=372956846:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2930 on theBenchmark for (2930ds/150Mi)
% 31.00/13.11  % (1543132)Instruction limit reached! 
% 31.00/13.11  % (1543132)------------------------------
% 31.00/13.11  % (1543132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543132)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543132)Termination reason: Instruction limit
% 31.00/13.11  % (1543132)Termination phase: SInE selection
% 31.00/13.11  % (1543132)Time elapsed: 0.170 s
% 31.00/13.11  % (1543132)Peak memory usage: 173 MB
% 31.00/13.11  % (1543132)Instructions burned: 150 (million)
% 31.00/13.11  % (1543134)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4024871358:i=14155:bd=all_2926 on theBenchmark for (2926ds/14155Mi)
% 31.00/13.11  % (1543109)Instruction limit reached! 
% 31.00/13.11  % (1543109)------------------------------
% 31.00/13.11  % (1543109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543109)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543109)Termination reason: Instruction limit
% 31.00/13.11  % (1543109)Termination phase: Saturation
% 31.00/13.11  % (1543109)Time elapsed: 5.207 s
% 31.00/13.11  % (1543109)Peak memory usage: 391 MB
% 31.00/13.11  % (1543109)Instructions burned: 5202 (million)
% 31.00/13.11  % (1543136)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3898088828:i=667:av=off:fsr=off_2905 on theBenchmark for (2905ds/667Mi)
% 31.00/13.11  % (1543136)Instruction limit reached! 
% 31.00/13.11  % (1543136)------------------------------
% 31.00/13.11  % (1543136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543136)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543136)Termination reason: Instruction limit
% 31.00/13.11  % (1543136)Termination phase: Preprocessing 2
% 31.00/13.11  % (1543136)Time elapsed: 0.850 s
% 31.00/13.11  % (1543136)Peak memory usage: 215 MB
% 31.00/13.11  % (1543136)Instructions burned: 667 (million)
% 31.00/13.11  % (1543138)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2833900350:s2a=on:i=185:s2at=1.8:fdi=4_2893 on theBenchmark for (2893ds/185Mi)
% 31.00/13.11  % (1543138)Instruction limit reached! 
% 31.00/13.11  % (1543138)------------------------------
% 31.00/13.11  % (1543138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543138)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543138)Termination reason: Instruction limit
% 31.00/13.11  % (1543138)Termination phase: SInE selection
% 31.00/13.11  % (1543138)Time elapsed: 0.209 s
% 31.00/13.11  % (1543138)Peak memory usage: 173 MB
% 31.00/13.11  % (1543138)Instructions burned: 185 (million)
% 31.00/13.11  % (1543140)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=288669696:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2889 on theBenchmark for (2889ds/193Mi)
% 31.00/13.11  % (1543140)Instruction limit reached! 
% 31.00/13.11  % (1543140)------------------------------
% 31.00/13.11  % (1543140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.00/13.11  % (1543140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.00/13.11  % (1543140)CaDiCaL version: 2.1.3
% 31.00/13.11  % (1543140)Termination reason: Instruction limit
% 31.00/13.11  % (1543140)Termination phase: SInE selection
% 31.00/13.11  % (1543140)Time elapsed: 0.113 s
% 31.00/13.11  % (1543140)Peak memory usage: 173 MB
% 31.00/13.11  % (1543140)Instructions burned: 193 (million)
% 31.00/13.11  % (1543142)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2726814144:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2885 on theBenchmark for (2885ds/4850Mi)
% 31.00/13.11  % (1543115)First to succeed.
% 31.00/13.11  % (1543115)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1543069"
% 31.00/13.11  % (1543115)Refutation found. Thanks to Tanya!
% 31.00/13.11  % SZS status Theorem for theBenchmark
% 31.00/13.11  % SZS output start Proof for theBenchmark
% See solution above
% 72.73/13.45  % (1543115)------------------------------
% 72.73/13.45  % (1543115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.73/13.45  % (1543115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.73/13.45  % (1543115)CaDiCaL version: 2.1.3
% 72.73/13.45  % (1543115)Termination reason: Refutation
% 72.73/13.45  % (1543115)Time elapsed: 6.667 s
% 72.73/13.45  % (1543115)Peak memory usage: 487 MB
% 72.73/13.45  % (1543115)Instructions burned: 12388 (million)
% 72.73/13.45  % (1543115)------------------------------
% 72.73/13.45  % (1543115)------------------------------
% 72.73/13.45  % (1543069)Success in time 12.26 s
% 72.73/13.45  % Vampire exiting
%------------------------------------------------------------------------------