TSTP Solution File: TOP047+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 : Tue Apr 30 20:55:17 EDT 2024

% Result   : Theorem 0.16s 0.52s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  191 (  36 unt;   0 def)
%            Number of atoms       :  633 (  67 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  711 ( 269   ~; 301   |;  86   &)
%                                         (  35 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   48 (  46 usr;  32 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   98 (  96   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & v25_waybel_0(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & v25_waybel_0(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
           => k14_yellow_6(A,k3_waybel28(A)) = k14_yellow_6(B,k3_waybel28(B)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [A] :
        ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A)
          & v2_lattice3(A)
          & l1_orders_2(A) )
       => ! [B] :
            ( ( v2_orders_2(B)
              & v3_orders_2(B)
              & v4_orders_2(B)
              & v24_waybel_0(B)
              & v25_waybel_0(B)
              & v2_lattice3(B)
              & l1_orders_2(B) )
           => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
             => k14_yellow_6(A,k3_waybel28(A)) = k14_yellow_6(B,k3_waybel28(B)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f15,axiom,
    ! [A] :
      ( l1_orders_2(A)
     => ( v2_lattice3(A)
       => ~ v3_struct_0(A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [A,B] :
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ! [C] :
              ( ( v1_pre_topc(C)
                & l1_pre_topc(C) )
             => ( C = k14_yellow_6(A,B)
              <=> ( u1_struct_0(C) = u1_struct_0(A)
                  & u1_pre_topc(C) = a_2_1_yellow_6(A,B) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m4_yellow_6(B,A) )
     => ( v1_pre_topc(k14_yellow_6(A,B))
        & l1_pre_topc(k14_yellow_6(A,B)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => m4_yellow_6(k3_waybel28(A),A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [A] :
      ( l1_orders_2(A)
     => l1_struct_0(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [A] :
      ( l1_orders_2(A)
     => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f68,axiom,
    ! [A,B] :
      ( m1_relset_1(B,A,A)
     => ! [C,D] :
          ( g1_orders_2(A,B) = g1_orders_2(C,D)
         => ( A = C
            & B = D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f70,axiom,
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & v25_waybel_0(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & v25_waybel_0(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
           => r1_tarski(u1_pre_topc(k14_yellow_6(A,k3_waybel28(A))),u1_pre_topc(k14_yellow_6(B,k3_waybel28(B)))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,axiom,
    ! [A,B,C] :
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,plain,
    ? [A] :
      ( v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & v2_lattice3(A)
      & l1_orders_2(A)
      & ? [B] :
          ( v2_orders_2(B)
          & v3_orders_2(B)
          & v4_orders_2(B)
          & v24_waybel_0(B)
          & v25_waybel_0(B)
          & v2_lattice3(B)
          & l1_orders_2(B)
          & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
          & k14_yellow_6(A,k3_waybel28(A)) != k14_yellow_6(B,k3_waybel28(B)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f105,plain,
    ( v2_orders_2(sk0_0)
    & v3_orders_2(sk0_0)
    & v4_orders_2(sk0_0)
    & v24_waybel_0(sk0_0)
    & v25_waybel_0(sk0_0)
    & v2_lattice3(sk0_0)
    & l1_orders_2(sk0_0)
    & v2_orders_2(sk0_1)
    & v3_orders_2(sk0_1)
    & v4_orders_2(sk0_1)
    & v24_waybel_0(sk0_1)
    & v25_waybel_0(sk0_1)
    & v2_lattice3(sk0_1)
    & l1_orders_2(sk0_1)
    & g1_orders_2(u1_struct_0(sk0_0),u1_orders_2(sk0_0)) = g1_orders_2(u1_struct_0(sk0_1),u1_orders_2(sk0_1))
    & k14_yellow_6(sk0_0,k3_waybel28(sk0_0)) != k14_yellow_6(sk0_1,k3_waybel28(sk0_1)) ),
    inference(skolemization,[status(esa)],[f104]) ).

fof(f106,plain,
    v2_orders_2(sk0_0),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f107,plain,
    v3_orders_2(sk0_0),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f108,plain,
    v4_orders_2(sk0_0),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f109,plain,
    v24_waybel_0(sk0_0),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f110,plain,
    v25_waybel_0(sk0_0),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f111,plain,
    v2_lattice3(sk0_0),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f112,plain,
    l1_orders_2(sk0_0),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f113,plain,
    v2_orders_2(sk0_1),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f114,plain,
    v3_orders_2(sk0_1),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f115,plain,
    v4_orders_2(sk0_1),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f116,plain,
    v24_waybel_0(sk0_1),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f117,plain,
    v25_waybel_0(sk0_1),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f118,plain,
    v2_lattice3(sk0_1),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f119,plain,
    l1_orders_2(sk0_1),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f120,plain,
    g1_orders_2(u1_struct_0(sk0_0),u1_orders_2(sk0_0)) = g1_orders_2(u1_struct_0(sk0_1),u1_orders_2(sk0_1)),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f121,plain,
    k14_yellow_6(sk0_0,k3_waybel28(sk0_0)) != k14_yellow_6(sk0_1,k3_waybel28(sk0_1)),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f155,plain,
    ! [A] :
      ( ~ l1_orders_2(A)
      | ~ v2_lattice3(A)
      | ~ v3_struct_0(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_struct_0(X0) ),
    inference(cnf_transformation,[status(esa)],[f155]) ).

fof(f180,plain,
    ! [A,B] :
      ( ( A != B
        | ( r1_tarski(A,B)
          & r1_tarski(B,A) ) )
      & ( A = B
        | ~ r1_tarski(A,B)
        | ~ r1_tarski(B,A) ) ),
    inference(NNF_transformation,[status(esa)],[f23]) ).

fof(f181,plain,
    ( ! [A,B] :
        ( A != B
        | ( r1_tarski(A,B)
          & r1_tarski(B,A) ) )
    & ! [A,B] :
        ( A = B
        | ~ r1_tarski(A,B)
        | ~ r1_tarski(B,A) ) ),
    inference(miniscoping,[status(esa)],[f180]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f181]) ).

fof(f185,plain,
    ! [A] :
      ( v3_struct_0(A)
      | ~ l1_struct_0(A)
      | ! [B] :
          ( ~ m4_yellow_6(B,A)
          | ! [C] :
              ( ~ v1_pre_topc(C)
              | ~ l1_pre_topc(C)
              | ( C = k14_yellow_6(A,B)
              <=> ( u1_struct_0(C) = u1_struct_0(A)
                  & u1_pre_topc(C) = a_2_1_yellow_6(A,B) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f24]) ).

fof(f186,plain,
    ! [A] :
      ( v3_struct_0(A)
      | ~ l1_struct_0(A)
      | ! [B] :
          ( ~ m4_yellow_6(B,A)
          | ! [C] :
              ( ~ v1_pre_topc(C)
              | ~ l1_pre_topc(C)
              | ( ( C != k14_yellow_6(A,B)
                  | ( u1_struct_0(C) = u1_struct_0(A)
                    & u1_pre_topc(C) = a_2_1_yellow_6(A,B) ) )
                & ( C = k14_yellow_6(A,B)
                  | u1_struct_0(C) != u1_struct_0(A)
                  | u1_pre_topc(C) != a_2_1_yellow_6(A,B) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f185]) ).

fof(f187,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | ~ v1_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | X2 != k14_yellow_6(X0,X1)
      | u1_struct_0(X2) = u1_struct_0(X0) ),
    inference(cnf_transformation,[status(esa)],[f186]) ).

fof(f188,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | ~ v1_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | X2 != k14_yellow_6(X0,X1)
      | u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f186]) ).

fof(f189,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | ~ v1_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | X2 = k14_yellow_6(X0,X1)
      | u1_struct_0(X2) != u1_struct_0(X0)
      | u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f186]) ).

fof(f197,plain,
    ! [A,B] :
      ( v3_struct_0(A)
      | ~ l1_struct_0(A)
      | ~ m4_yellow_6(B,A)
      | ( v1_pre_topc(k14_yellow_6(A,B))
        & l1_pre_topc(k14_yellow_6(A,B)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f28]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | v1_pre_topc(k14_yellow_6(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f197]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | l1_pre_topc(k14_yellow_6(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f197]) ).

fof(f200,plain,
    ! [A] :
      ( v3_struct_0(A)
      | ~ l1_orders_2(A)
      | m4_yellow_6(k3_waybel28(A),A) ),
    inference(pre_NNF_transformation,[status(esa)],[f34]) ).

fof(f201,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l1_orders_2(X0)
      | m4_yellow_6(k3_waybel28(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f200]) ).

fof(f202,plain,
    ! [A] :
      ( ~ l1_orders_2(A)
      | l1_struct_0(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f36]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | l1_struct_0(X0) ),
    inference(cnf_transformation,[status(esa)],[f202]) ).

fof(f210,plain,
    ! [A] :
      ( ~ l1_orders_2(A)
      | m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ),
    inference(pre_NNF_transformation,[status(esa)],[f44]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f274,plain,
    ! [A,B] :
      ( ~ m1_relset_1(B,A,A)
      | ! [C,D] :
          ( g1_orders_2(A,B) != g1_orders_2(C,D)
          | ( A = C
            & B = D ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f68]) ).

fof(f275,plain,
    ! [X0,X1,X2,X3] :
      ( ~ m1_relset_1(X0,X1,X1)
      | g1_orders_2(X1,X0) != g1_orders_2(X2,X3)
      | X1 = X2 ),
    inference(cnf_transformation,[status(esa)],[f274]) ).

fof(f280,plain,
    ! [A] :
      ( ~ v2_orders_2(A)
      | ~ v3_orders_2(A)
      | ~ v4_orders_2(A)
      | ~ v24_waybel_0(A)
      | ~ v25_waybel_0(A)
      | ~ v2_lattice3(A)
      | ~ l1_orders_2(A)
      | ! [B] :
          ( ~ v2_orders_2(B)
          | ~ v3_orders_2(B)
          | ~ v4_orders_2(B)
          | ~ v24_waybel_0(B)
          | ~ v25_waybel_0(B)
          | ~ v2_lattice3(B)
          | ~ l1_orders_2(B)
          | g1_orders_2(u1_struct_0(A),u1_orders_2(A)) != g1_orders_2(u1_struct_0(B),u1_orders_2(B))
          | r1_tarski(u1_pre_topc(k14_yellow_6(A,k3_waybel28(A))),u1_pre_topc(k14_yellow_6(B,k3_waybel28(B)))) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f70]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v24_waybel_0(X1)
      | ~ v25_waybel_0(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ),
    inference(cnf_transformation,[status(esa)],[f280]) ).

fof(f386,plain,
    ! [A,B,C] :
      ( ( ~ m2_relset_1(C,A,B)
        | m1_relset_1(C,A,B) )
      & ( m2_relset_1(C,A,B)
        | ~ m1_relset_1(C,A,B) ) ),
    inference(NNF_transformation,[status(esa)],[f93]) ).

fof(f387,plain,
    ( ! [A,B,C] :
        ( ~ m2_relset_1(C,A,B)
        | m1_relset_1(C,A,B) )
    & ! [A,B,C] :
        ( m2_relset_1(C,A,B)
        | ~ m1_relset_1(C,A,B) ) ),
    inference(miniscoping,[status(esa)],[f386]) ).

fof(f388,plain,
    ! [X0,X1,X2] :
      ( ~ m2_relset_1(X0,X1,X2)
      | m1_relset_1(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f387]) ).

fof(f421,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | ~ v1_pre_topc(k14_yellow_6(X0,X1))
      | ~ l1_pre_topc(k14_yellow_6(X0,X1))
      | u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f187]) ).

fof(f422,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | ~ v1_pre_topc(k14_yellow_6(X0,X1))
      | ~ l1_pre_topc(k14_yellow_6(X0,X1))
      | u1_pre_topc(k14_yellow_6(X0,X1)) = a_2_1_yellow_6(X0,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f188]) ).

fof(f431,plain,
    ( spl0_0
  <=> v3_struct_0(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f432,plain,
    ( v3_struct_0(sk0_1)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f431]) ).

fof(f434,plain,
    ( spl0_1
  <=> v2_orders_2(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f436,plain,
    ( ~ v2_orders_2(sk0_1)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f434]) ).

fof(f437,plain,
    ( spl0_2
  <=> v4_orders_2(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f439,plain,
    ( ~ v4_orders_2(sk0_1)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f437]) ).

fof(f440,plain,
    ( spl0_3
  <=> v25_waybel_0(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f442,plain,
    ( ~ v25_waybel_0(sk0_1)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f440]) ).

fof(f443,plain,
    ( spl0_4
  <=> v2_lattice3(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f445,plain,
    ( ~ v2_lattice3(sk0_1)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f448,plain,
    ( spl0_5
  <=> v3_struct_0(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f449,plain,
    ( v3_struct_0(sk0_0)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f448]) ).

fof(f451,plain,
    ( spl0_6
  <=> v2_orders_2(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f453,plain,
    ( ~ v2_orders_2(sk0_0)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f451]) ).

fof(f454,plain,
    ( spl0_7
  <=> v4_orders_2(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f456,plain,
    ( ~ v4_orders_2(sk0_0)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f454]) ).

fof(f457,plain,
    ( spl0_8
  <=> v25_waybel_0(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f459,plain,
    ( ~ v25_waybel_0(sk0_0)
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f457]) ).

fof(f460,plain,
    ( spl0_9
  <=> v2_lattice3(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f462,plain,
    ( ~ v2_lattice3(sk0_0)
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f460]) ).

fof(f465,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f459,f110]) ).

fof(f466,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f465]) ).

fof(f467,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f456,f108]) ).

fof(f468,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f467]) ).

fof(f469,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f453,f106]) ).

fof(f470,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f469]) ).

fof(f471,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f442,f117]) ).

fof(f472,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f471]) ).

fof(f473,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f439,f115]) ).

fof(f474,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f473]) ).

fof(f475,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f436,f113]) ).

fof(f476,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f475]) ).

fof(f477,plain,
    l1_struct_0(sk0_1),
    inference(resolution,[status(thm)],[f203,f119]) ).

fof(f478,plain,
    l1_struct_0(sk0_0),
    inference(resolution,[status(thm)],[f203,f112]) ).

fof(f479,plain,
    ( spl0_10
  <=> l1_orders_2(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f481,plain,
    ( ~ l1_orders_2(sk0_1)
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f479]) ).

fof(f482,plain,
    ( ~ l1_orders_2(sk0_1)
    | ~ v2_lattice3(sk0_1)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f156,f432]) ).

fof(f483,plain,
    ( ~ spl0_10
    | ~ spl0_4
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f482,f479,f443,f431]) ).

fof(f484,plain,
    ( spl0_11
  <=> l1_orders_2(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f486,plain,
    ( ~ l1_orders_2(sk0_0)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f484]) ).

fof(f487,plain,
    ( ~ l1_orders_2(sk0_0)
    | ~ v2_lattice3(sk0_0)
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f156,f449]) ).

fof(f488,plain,
    ( ~ spl0_11
    | ~ spl0_9
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f487,f484,f460,f448]) ).

fof(f489,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f486,f112]) ).

fof(f490,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f489]) ).

fof(f491,plain,
    ( $false
    | spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f481,f119]) ).

fof(f492,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f491]) ).

fof(f493,plain,
    ( $false
    | spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f462,f111]) ).

fof(f494,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f493]) ).

fof(f495,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f445,f118]) ).

fof(f496,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f495]) ).

fof(f497,plain,
    ( spl0_12
  <=> v3_orders_2(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f499,plain,
    ( ~ v3_orders_2(sk0_0)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f497]) ).

fof(f500,plain,
    ( spl0_13
  <=> v24_waybel_0(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f502,plain,
    ( ~ v24_waybel_0(sk0_0)
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f503,plain,
    ( spl0_14
  <=> v3_orders_2(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f505,plain,
    ( ~ v3_orders_2(sk0_1)
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f503]) ).

fof(f506,plain,
    ( spl0_15
  <=> v24_waybel_0(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f508,plain,
    ( ~ v24_waybel_0(sk0_1)
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f506]) ).

fof(f509,plain,
    ( spl0_16
  <=> r1_tarski(u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))),u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1)))) ),
    introduced(split_symbol_definition) ).

fof(f512,plain,
    ( ~ v2_orders_2(sk0_0)
    | ~ v3_orders_2(sk0_0)
    | ~ v4_orders_2(sk0_0)
    | ~ v24_waybel_0(sk0_0)
    | ~ v25_waybel_0(sk0_0)
    | ~ v2_lattice3(sk0_0)
    | ~ l1_orders_2(sk0_0)
    | ~ v2_orders_2(sk0_1)
    | ~ v3_orders_2(sk0_1)
    | ~ v4_orders_2(sk0_1)
    | ~ v24_waybel_0(sk0_1)
    | ~ v25_waybel_0(sk0_1)
    | ~ v2_lattice3(sk0_1)
    | ~ l1_orders_2(sk0_1)
    | r1_tarski(u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))),u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1)))) ),
    inference(resolution,[status(thm)],[f281,f120]) ).

fof(f513,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_16 ),
    inference(split_clause,[status(thm)],[f512,f451,f497,f454,f500,f457,f460,f484,f434,f503,f437,f506,f440,f443,f479,f509]) ).

fof(f514,plain,
    ( spl0_17
  <=> r1_tarski(u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1))),u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0)))) ),
    introduced(split_symbol_definition) ).

fof(f515,plain,
    ( r1_tarski(u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1))),u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))))
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f514]) ).

fof(f517,plain,
    ( ~ v2_orders_2(sk0_1)
    | ~ v3_orders_2(sk0_1)
    | ~ v4_orders_2(sk0_1)
    | ~ v24_waybel_0(sk0_1)
    | ~ v25_waybel_0(sk0_1)
    | ~ v2_lattice3(sk0_1)
    | ~ l1_orders_2(sk0_1)
    | ~ v2_orders_2(sk0_0)
    | ~ v3_orders_2(sk0_0)
    | ~ v4_orders_2(sk0_0)
    | ~ v24_waybel_0(sk0_0)
    | ~ v25_waybel_0(sk0_0)
    | ~ v2_lattice3(sk0_0)
    | ~ l1_orders_2(sk0_0)
    | r1_tarski(u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1))),u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0)))) ),
    inference(resolution,[status(thm)],[f281,f120]) ).

fof(f518,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f517,f434,f503,f437,f506,f440,f443,f479,f451,f497,f454,f500,f457,f460,f484,f514]) ).

fof(f531,plain,
    ( $false
    | spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f502,f109]) ).

fof(f532,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f531]) ).

fof(f533,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f499,f107]) ).

fof(f534,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f533]) ).

fof(f535,plain,
    ( $false
    | spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f508,f116]) ).

fof(f536,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f535]) ).

fof(f537,plain,
    ( $false
    | spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f505,f114]) ).

fof(f538,plain,
    spl0_14,
    inference(contradiction_clause,[status(thm)],[f537]) ).

fof(f696,plain,
    ( spl0_56
  <=> u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) = u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1))) ),
    introduced(split_symbol_definition) ).

fof(f697,plain,
    ( u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) = u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1)))
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f696]) ).

fof(f699,plain,
    ( u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) = u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1)))
    | ~ r1_tarski(u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))),u1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1))))
    | ~ spl0_17 ),
    inference(resolution,[status(thm)],[f184,f515]) ).

fof(f700,plain,
    ( spl0_56
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f699,f696,f509,f514]) ).

fof(f764,plain,
    ( spl0_65
  <=> v1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1))) ),
    introduced(split_symbol_definition) ).

fof(f766,plain,
    ( ~ v1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1)))
    | spl0_65 ),
    inference(component_clause,[status(thm)],[f764]) ).

fof(f772,plain,
    ( spl0_67
  <=> l1_struct_0(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f774,plain,
    ( ~ l1_struct_0(sk0_1)
    | spl0_67 ),
    inference(component_clause,[status(thm)],[f772]) ).

fof(f775,plain,
    ( spl0_68
  <=> m4_yellow_6(k3_waybel28(sk0_1),sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f777,plain,
    ( ~ m4_yellow_6(k3_waybel28(sk0_1),sk0_1)
    | spl0_68 ),
    inference(component_clause,[status(thm)],[f775]) ).

fof(f780,plain,
    ( $false
    | spl0_67 ),
    inference(forward_subsumption_resolution,[status(thm)],[f774,f477]) ).

fof(f781,plain,
    spl0_67,
    inference(contradiction_clause,[status(thm)],[f780]) ).

fof(f782,plain,
    ( v3_struct_0(sk0_1)
    | ~ l1_orders_2(sk0_1)
    | spl0_68 ),
    inference(resolution,[status(thm)],[f777,f201]) ).

fof(f783,plain,
    ( spl0_0
    | ~ spl0_10
    | spl0_68 ),
    inference(split_clause,[status(thm)],[f782,f431,f479,f775]) ).

fof(f786,plain,
    ( spl0_69
  <=> m1_relset_1(u1_orders_2(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f788,plain,
    ( ~ m1_relset_1(u1_orders_2(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
    | spl0_69 ),
    inference(component_clause,[status(thm)],[f786]) ).

fof(f789,plain,
    ( spl0_70
  <=> u1_struct_0(sk0_0) = u1_struct_0(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f790,plain,
    ( u1_struct_0(sk0_0) = u1_struct_0(sk0_1)
    | ~ spl0_70 ),
    inference(component_clause,[status(thm)],[f789]) ).

fof(f792,plain,
    ( ~ m1_relset_1(u1_orders_2(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
    | u1_struct_0(sk0_0) = u1_struct_0(sk0_1) ),
    inference(resolution,[status(thm)],[f275,f120]) ).

fof(f793,plain,
    ( ~ spl0_69
    | spl0_70 ),
    inference(split_clause,[status(thm)],[f792,f786,f789]) ).

fof(f828,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | ~ v1_pre_topc(k14_yellow_6(X0,X1))
      | u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f421,f199]) ).

fof(f1094,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | ~ v1_pre_topc(k14_yellow_6(X0,X1))
      | u1_pre_topc(k14_yellow_6(X0,X1)) = a_2_1_yellow_6(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f422,f199]) ).

fof(f1095,plain,
    ( spl0_105
  <=> u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) = a_2_1_yellow_6(sk0_1,k3_waybel28(sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f1096,plain,
    ( u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) = a_2_1_yellow_6(sk0_1,k3_waybel28(sk0_1))
    | ~ spl0_105 ),
    inference(component_clause,[status(thm)],[f1095]) ).

fof(f1098,plain,
    ( v3_struct_0(sk0_1)
    | ~ l1_struct_0(sk0_1)
    | ~ m4_yellow_6(k3_waybel28(sk0_1),sk0_1)
    | ~ v1_pre_topc(k14_yellow_6(sk0_1,k3_waybel28(sk0_1)))
    | u1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) = a_2_1_yellow_6(sk0_1,k3_waybel28(sk0_1))
    | ~ spl0_56 ),
    inference(paramodulation,[status(thm)],[f697,f1094]) ).

fof(f1099,plain,
    ( spl0_0
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_65
    | spl0_105
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f1098,f431,f772,f775,f764,f1095,f696]) ).

fof(f1176,plain,
    ! [X0] :
      ( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_orders_2(X0) ),
    inference(resolution,[status(thm)],[f388,f211]) ).

fof(f1179,plain,
    ( ~ l1_orders_2(sk0_0)
    | spl0_69 ),
    inference(resolution,[status(thm)],[f1176,f788]) ).

fof(f1180,plain,
    ( ~ spl0_11
    | spl0_69 ),
    inference(split_clause,[status(thm)],[f1179,f484,f786]) ).

fof(f1630,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0)
      | u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f828,f198]) ).

fof(f1631,plain,
    ( v3_struct_0(sk0_1)
    | ~ l1_struct_0(sk0_1)
    | ~ m4_yellow_6(k3_waybel28(sk0_1),sk0_1)
    | spl0_65 ),
    inference(resolution,[status(thm)],[f198,f766]) ).

fof(f1632,plain,
    ( spl0_0
    | ~ spl0_67
    | ~ spl0_68
    | spl0_65 ),
    inference(split_clause,[status(thm)],[f1631,f431,f772,f775,f764]) ).

fof(f2023,plain,
    ( spl0_233
  <=> v1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f2025,plain,
    ( ~ v1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0)))
    | spl0_233 ),
    inference(component_clause,[status(thm)],[f2023]) ).

fof(f2026,plain,
    ( spl0_234
  <=> l1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f2028,plain,
    ( ~ l1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0)))
    | spl0_234 ),
    inference(component_clause,[status(thm)],[f2026]) ).

fof(f2029,plain,
    ( spl0_235
  <=> k14_yellow_6(sk0_0,k3_waybel28(sk0_0)) = k14_yellow_6(sk0_1,k3_waybel28(sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f2030,plain,
    ( k14_yellow_6(sk0_0,k3_waybel28(sk0_0)) = k14_yellow_6(sk0_1,k3_waybel28(sk0_1))
    | ~ spl0_235 ),
    inference(component_clause,[status(thm)],[f2029]) ).

fof(f2032,plain,
    ( spl0_236
  <=> u1_struct_0(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) = u1_struct_0(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f2034,plain,
    ( u1_struct_0(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) != u1_struct_0(sk0_1)
    | spl0_236 ),
    inference(component_clause,[status(thm)],[f2032]) ).

fof(f2035,plain,
    ( v3_struct_0(sk0_1)
    | ~ l1_struct_0(sk0_1)
    | ~ m4_yellow_6(k3_waybel28(sk0_1),sk0_1)
    | ~ v1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0)))
    | ~ l1_pre_topc(k14_yellow_6(sk0_0,k3_waybel28(sk0_0)))
    | k14_yellow_6(sk0_0,k3_waybel28(sk0_0)) = k14_yellow_6(sk0_1,k3_waybel28(sk0_1))
    | u1_struct_0(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) != u1_struct_0(sk0_1)
    | ~ spl0_105 ),
    inference(resolution,[status(thm)],[f1096,f189]) ).

fof(f2036,plain,
    ( spl0_0
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_233
    | ~ spl0_234
    | spl0_235
    | ~ spl0_236
    | ~ spl0_105 ),
    inference(split_clause,[status(thm)],[f2035,f431,f772,f775,f2023,f2026,f2029,f2032,f1095]) ).

fof(f2062,plain,
    ( u1_struct_0(k14_yellow_6(sk0_0,k3_waybel28(sk0_0))) != u1_struct_0(sk0_0)
    | ~ spl0_70
    | spl0_236 ),
    inference(forward_demodulation,[status(thm)],[f790,f2034]) ).

fof(f2063,plain,
    ( spl0_242
  <=> l1_struct_0(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f2065,plain,
    ( ~ l1_struct_0(sk0_0)
    | spl0_242 ),
    inference(component_clause,[status(thm)],[f2063]) ).

fof(f2066,plain,
    ( spl0_243
  <=> m4_yellow_6(k3_waybel28(sk0_0),sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f2068,plain,
    ( ~ m4_yellow_6(k3_waybel28(sk0_0),sk0_0)
    | spl0_243 ),
    inference(component_clause,[status(thm)],[f2066]) ).

fof(f2069,plain,
    ( v3_struct_0(sk0_0)
    | ~ l1_struct_0(sk0_0)
    | ~ m4_yellow_6(k3_waybel28(sk0_0),sk0_0)
    | spl0_233 ),
    inference(resolution,[status(thm)],[f2025,f198]) ).

fof(f2070,plain,
    ( spl0_5
    | ~ spl0_242
    | ~ spl0_243
    | spl0_233 ),
    inference(split_clause,[status(thm)],[f2069,f448,f2063,f2066,f2023]) ).

fof(f2071,plain,
    ( $false
    | spl0_242 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2065,f478]) ).

fof(f2072,plain,
    spl0_242,
    inference(contradiction_clause,[status(thm)],[f2071]) ).

fof(f2073,plain,
    ( v3_struct_0(sk0_0)
    | ~ l1_orders_2(sk0_0)
    | spl0_243 ),
    inference(resolution,[status(thm)],[f2068,f201]) ).

fof(f2074,plain,
    ( spl0_5
    | ~ spl0_11
    | spl0_243 ),
    inference(split_clause,[status(thm)],[f2073,f448,f484,f2066]) ).

fof(f2080,plain,
    ( v3_struct_0(sk0_0)
    | ~ l1_struct_0(sk0_0)
    | ~ m4_yellow_6(k3_waybel28(sk0_0),sk0_0)
    | spl0_234 ),
    inference(resolution,[status(thm)],[f2028,f199]) ).

fof(f2081,plain,
    ( spl0_5
    | ~ spl0_242
    | ~ spl0_243
    | spl0_234 ),
    inference(split_clause,[status(thm)],[f2080,f448,f2063,f2066,f2026]) ).

fof(f2316,plain,
    ( v3_struct_0(sk0_0)
    | ~ l1_struct_0(sk0_0)
    | ~ m4_yellow_6(k3_waybel28(sk0_0),sk0_0)
    | ~ spl0_70
    | spl0_236 ),
    inference(resolution,[status(thm)],[f1630,f2062]) ).

fof(f2317,plain,
    ( spl0_5
    | ~ spl0_242
    | ~ spl0_243
    | ~ spl0_70
    | spl0_236 ),
    inference(split_clause,[status(thm)],[f2316,f448,f2063,f2066,f789,f2032]) ).

fof(f2318,plain,
    ( $false
    | ~ spl0_235 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2030,f121]) ).

fof(f2319,plain,
    ~ spl0_235,
    inference(contradiction_clause,[status(thm)],[f2318]) ).

fof(f2320,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f466,f468,f470,f472,f474,f476,f483,f488,f490,f492,f494,f496,f513,f518,f532,f534,f536,f538,f700,f781,f783,f793,f1099,f1180,f1632,f2036,f2070,f2072,f2074,f2081,f2317,f2319]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31  % Computer : n028.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.16/0.31  % DateTime : Mon Apr 29 22:32:59 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.33  % Drodi V3.6.0
% 0.16/0.52  % Refutation found
% 0.16/0.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.215024 seconds
% 0.16/0.54  % CPU time: 1.562054 seconds
% 0.16/0.54  % Total memory used: 99.188 MB
% 0.16/0.54  % Net memory used: 98.307 MB
%------------------------------------------------------------------------------