TSTP Solution File: SEU407+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:29:51 EDT 2022

% Result   : Theorem 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   91 (  16 unt;   0 def)
%            Number of atoms       :  361 (  44 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  450 ( 180   ~; 151   |;  90   &)
%                                         (   9 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-6 aty)
%            Number of variables   :  126 ( 107   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f570,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f264,f293,f303,f565]) ).

fof(f565,plain,
    ~ spl13_1,
    inference(avatar_contradiction_clause,[],[f564]) ).

fof(f564,plain,
    ( $false
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f558,f243]) ).

fof(f243,plain,
    ( r2_hidden(sK4,u1_struct_0(k1_latsum_1(sK2,sK3)))
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl13_1
  <=> r2_hidden(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f558,plain,
    ~ r2_hidden(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))),
    inference(backward_demodulation,[],[f344,f551]) ).

fof(f551,plain,
    k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(sK2,sK3)),
    inference(resolution,[],[f456,f179]) ).

fof(f179,plain,
    l1_orders_2(sK2),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( l1_orders_2(sK2)
    & ~ v3_struct_0(sK2)
    & ~ v3_struct_0(sK3)
    & l1_orders_2(sK3)
    & ~ r2_hidden(sK4,u1_struct_0(sK2))
    & ~ r2_hidden(sK4,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
    & m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f75,f125,f124,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( l1_orders_2(X0)
        & ~ v3_struct_0(X0)
        & ? [X1] :
            ( ~ v3_struct_0(X1)
            & l1_orders_2(X1)
            & ? [X2] :
                ( ~ r2_hidden(X2,u1_struct_0(X0))
                & ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
                & m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) )
   => ( l1_orders_2(sK2)
      & ~ v3_struct_0(sK2)
      & ? [X1] :
          ( ~ v3_struct_0(X1)
          & l1_orders_2(X1)
          & ? [X2] :
              ( ~ r2_hidden(X2,u1_struct_0(sK2))
              & ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK2)))
              & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK2,X1))) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X1] :
        ( ~ v3_struct_0(X1)
        & l1_orders_2(X1)
        & ? [X2] :
            ( ~ r2_hidden(X2,u1_struct_0(sK2))
            & ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK2)))
            & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK2,X1))) ) )
   => ( ~ v3_struct_0(sK3)
      & l1_orders_2(sK3)
      & ? [X2] :
          ( ~ r2_hidden(X2,u1_struct_0(sK2))
          & ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
          & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK2,sK3))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X2] :
        ( ~ r2_hidden(X2,u1_struct_0(sK2))
        & ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
        & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK2,sK3))) )
   => ( ~ r2_hidden(sK4,u1_struct_0(sK2))
      & ~ r2_hidden(sK4,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2)))
      & m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ? [X0] :
      ( l1_orders_2(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( ~ v3_struct_0(X1)
          & l1_orders_2(X1)
          & ? [X2] :
              ( ~ r2_hidden(X2,u1_struct_0(X0))
              & ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
              & m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
              & ~ r2_hidden(X2,u1_struct_0(X0))
              & m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
          & l1_orders_2(X1)
          & ~ v3_struct_0(X1) )
      & l1_orders_2(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_orders_2(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( l1_orders_2(X1)
              & ~ v3_struct_0(X1) )
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
               => ( r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
                  | r2_hidden(X2,u1_struct_0(X0)) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & ~ v3_struct_0(X1) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
             => ( r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
                | r2_hidden(X2,u1_struct_0(X0)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).

fof(f456,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(X0,sK3)) ),
    inference(subsumption_resolution,[],[f455,f176]) ).

fof(f176,plain,
    l1_orders_2(sK3),
    inference(cnf_transformation,[],[f126]) ).

fof(f455,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(X0,sK3))
      | ~ l1_orders_2(sK3) ),
    inference(duplicate_literal_removal,[],[f454]) ).

fof(f454,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(X0,sK3))
      | ~ l1_orders_2(X0)
      | ~ l1_orders_2(sK3) ),
    inference(resolution,[],[f278,f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( l1_orders_2(k1_latsum_1(X1,X0))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ( l1_orders_2(k1_latsum_1(X1,X0))
        & v1_orders_2(k1_latsum_1(X1,X0)) ) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ( l1_orders_2(k1_latsum_1(X1,X0))
        & v1_orders_2(k1_latsum_1(X1,X0)) )
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( l1_orders_2(X1)
        & l1_orders_2(X0) )
     => ( l1_orders_2(k1_latsum_1(X1,X0))
        & v1_orders_2(k1_latsum_1(X1,X0)) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( ( l1_orders_2(X1)
        & l1_orders_2(X0) )
     => ( v1_orders_2(k1_latsum_1(X0,X1))
        & l1_orders_2(k1_latsum_1(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).

fof(f278,plain,
    ! [X0] :
      ( ~ l1_orders_2(k1_latsum_1(X0,sK3))
      | ~ l1_orders_2(X0)
      | k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(X0,sK3)) ),
    inference(subsumption_resolution,[],[f275,f176]) ).

fof(f275,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | ~ l1_orders_2(k1_latsum_1(X0,sK3))
      | ~ l1_orders_2(sK3)
      | k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(X0,sK3)) ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f271,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | ~ l1_orders_2(X0)
      | ~ l1_orders_2(k1_latsum_1(X0,sK3))
      | ~ l1_orders_2(sK3)
      | k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)) = u1_struct_0(k1_latsum_1(X0,sK3)) ),
    inference(resolution,[],[f232,f229]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ v1_orders_2(k1_latsum_1(X0,X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ~ l1_orders_2(k1_latsum_1(X0,X1))
      | u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ),
    inference(equality_resolution,[],[f220]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( ~ l1_orders_2(X0)
      | u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
      | k1_latsum_1(X0,X1) != X2
      | ~ l1_orders_2(X2)
      | ~ v1_orders_2(X2)
      | ~ l1_orders_2(X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
                    & u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
                  | k1_latsum_1(X0,X1) != X2 )
                & ( k1_latsum_1(X0,X1) = X2
                  | u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
                  | u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
              | ~ l1_orders_2(X2)
              | ~ v1_orders_2(X2) )
          | ~ l1_orders_2(X1) ) ),
    inference(flattening,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
                    & u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
                  | k1_latsum_1(X0,X1) != X2 )
                & ( k1_latsum_1(X0,X1) = X2
                  | u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
                  | u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
              | ~ l1_orders_2(X2)
              | ~ v1_orders_2(X2) )
          | ~ l1_orders_2(X1) ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
                  & u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
              <=> k1_latsum_1(X0,X1) = X2 )
              | ~ l1_orders_2(X2)
              | ~ v1_orders_2(X2) )
          | ~ l1_orders_2(X1) ) ),
    inference(flattening,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
                  & u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
              <=> k1_latsum_1(X0,X1) = X2 )
              | ~ l1_orders_2(X2)
              | ~ v1_orders_2(X2) )
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ! [X2] :
              ( ( l1_orders_2(X2)
                & v1_orders_2(X2) )
             => ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
                  & u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
              <=> k1_latsum_1(X0,X1) = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).

fof(f232,plain,
    ! [X1] :
      ( v1_orders_2(k1_latsum_1(X1,sK3))
      | ~ l1_orders_2(X1) ),
    inference(resolution,[],[f176,f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ l1_orders_2(X0)
      | v1_orders_2(k1_latsum_1(X1,X0))
      | ~ l1_orders_2(X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f344,plain,
    ~ r2_hidden(sK4,k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3))),
    inference(subsumption_resolution,[],[f340,f175]) ).

fof(f175,plain,
    ~ r2_hidden(sK4,u1_struct_0(sK2)),
    inference(cnf_transformation,[],[f126]) ).

fof(f340,plain,
    ( r2_hidden(sK4,u1_struct_0(sK2))
    | ~ r2_hidden(sK4,k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3))) ),
    inference(superposition,[],[f249,f187]) ).

fof(f187,plain,
    ! [X0,X1] : k2_xboole_0(X1,X0) = k2_xboole_0(X1,k4_xboole_0(X0,X1)),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] : k2_xboole_0(X1,X0) = k2_xboole_0(X1,k4_xboole_0(X0,X1)),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X1,X0] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).

fof(f249,plain,
    ! [X0] :
      ( ~ r2_hidden(sK4,k2_xboole_0(X0,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))))
      | r2_hidden(sK4,X0) ),
    inference(resolution,[],[f174,f227]) ).

fof(f227,plain,
    ! [X0,X1,X4] :
      ( r2_hidden(X4,X1)
      | r2_hidden(X4,X0)
      | ~ r2_hidden(X4,k2_xboole_0(X0,X1)) ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X2,X0,X1,X4] :
      ( r2_hidden(X4,X0)
      | r2_hidden(X4,X1)
      | ~ r2_hidden(X4,X2)
      | k2_xboole_0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ( ( ( ~ r2_hidden(sK10(X0,X1,X2),X0)
              & ~ r2_hidden(sK10(X0,X1,X2),X1) )
            | ~ r2_hidden(sK10(X0,X1,X2),X2) )
          & ( r2_hidden(sK10(X0,X1,X2),X0)
            | r2_hidden(sK10(X0,X1,X2),X1)
            | r2_hidden(sK10(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | ( ~ r2_hidden(X4,X0)
                & ~ r2_hidden(X4,X1) ) )
            & ( r2_hidden(X4,X0)
              | r2_hidden(X4,X1)
              | ~ r2_hidden(X4,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f143,f144]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ r2_hidden(X3,X0)
              & ~ r2_hidden(X3,X1) )
            | ~ r2_hidden(X3,X2) )
          & ( r2_hidden(X3,X0)
            | r2_hidden(X3,X1)
            | r2_hidden(X3,X2) ) )
     => ( ( ( ~ r2_hidden(sK10(X0,X1,X2),X0)
            & ~ r2_hidden(sK10(X0,X1,X2),X1) )
          | ~ r2_hidden(sK10(X0,X1,X2),X2) )
        & ( r2_hidden(sK10(X0,X1,X2),X0)
          | r2_hidden(sK10(X0,X1,X2),X1)
          | r2_hidden(sK10(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X0)
                & ~ r2_hidden(X3,X1) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X0)
              | r2_hidden(X3,X1)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | ( ~ r2_hidden(X4,X0)
                & ~ r2_hidden(X4,X1) ) )
            & ( r2_hidden(X4,X0)
              | r2_hidden(X4,X1)
              | ~ r2_hidden(X4,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(rectify,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X0)
                & ~ r2_hidden(X3,X1) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X0)
              | r2_hidden(X3,X1)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | ( ~ r2_hidden(X3,X0)
                & ~ r2_hidden(X3,X1) ) )
            & ( r2_hidden(X3,X0)
              | r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(flattening,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X0)
                & ~ r2_hidden(X3,X1) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X0)
              | r2_hidden(X3,X1)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | ( ~ r2_hidden(X3,X0)
                & ~ r2_hidden(X3,X1) ) )
            & ( r2_hidden(X3,X0)
              | r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( k2_xboole_0(X0,X1) = X2
    <=> ! [X3] :
          ( r2_hidden(X3,X2)
        <=> ( r2_hidden(X3,X0)
            | r2_hidden(X3,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f174,plain,
    ~ r2_hidden(sK4,k4_xboole_0(u1_struct_0(sK3),u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f126]) ).

fof(f303,plain,
    ~ spl13_4,
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f301,f178]) ).

fof(f178,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f126]) ).

fof(f301,plain,
    ( v3_struct_0(sK2)
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f300,f176]) ).

fof(f300,plain,
    ( ~ l1_orders_2(sK3)
    | v3_struct_0(sK2)
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f295,f179]) ).

fof(f295,plain,
    ( ~ l1_orders_2(sK2)
    | v3_struct_0(sK2)
    | ~ l1_orders_2(sK3)
    | ~ spl13_4 ),
    inference(resolution,[],[f263,f171]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ v3_struct_0(k1_latsum_1(X0,X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ l1_orders_2(X1)
      | ( v1_orders_2(k1_latsum_1(X0,X1))
        & ~ v3_struct_0(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X1,X0] :
      ( ( v1_orders_2(k1_latsum_1(X0,X1))
        & ~ v3_struct_0(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X1)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X1,X0] :
      ( ( l1_orders_2(X1)
        & ~ v3_struct_0(X0)
        & l1_orders_2(X0) )
     => ( v1_orders_2(k1_latsum_1(X0,X1))
        & ~ v3_struct_0(k1_latsum_1(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_latsum_1) ).

fof(f263,plain,
    ( v3_struct_0(k1_latsum_1(sK2,sK3))
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl13_4
  <=> v3_struct_0(k1_latsum_1(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f293,plain,
    spl13_3,
    inference(avatar_contradiction_clause,[],[f292]) ).

fof(f292,plain,
    ( $false
    | spl13_3 ),
    inference(subsumption_resolution,[],[f291,f176]) ).

fof(f291,plain,
    ( ~ l1_orders_2(sK3)
    | spl13_3 ),
    inference(subsumption_resolution,[],[f290,f179]) ).

fof(f290,plain,
    ( ~ l1_orders_2(sK2)
    | ~ l1_orders_2(sK3)
    | spl13_3 ),
    inference(resolution,[],[f279,f192]) ).

fof(f279,plain,
    ( ~ l1_orders_2(k1_latsum_1(sK2,sK3))
    | spl13_3 ),
    inference(resolution,[],[f259,f169]) ).

fof(f169,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).

fof(f259,plain,
    ( ~ l1_struct_0(k1_latsum_1(sK2,sK3))
    | spl13_3 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl13_3
  <=> l1_struct_0(k1_latsum_1(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f264,plain,
    ( ~ spl13_3
    | spl13_4
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f250,f245,f261,f257]) ).

fof(f245,plain,
    ( spl13_2
  <=> v1_xboole_0(u1_struct_0(k1_latsum_1(sK2,sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f250,plain,
    ( v3_struct_0(k1_latsum_1(sK2,sK3))
    | ~ l1_struct_0(k1_latsum_1(sK2,sK3))
    | ~ spl13_2 ),
    inference(resolution,[],[f247,f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ l1_struct_0(X0)
      | ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f247,plain,
    ( v1_xboole_0(u1_struct_0(k1_latsum_1(sK2,sK3)))
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f248,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f239,f245,f241]) ).

fof(f239,plain,
    ( v1_xboole_0(u1_struct_0(k1_latsum_1(sK2,sK3)))
    | r2_hidden(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))) ),
    inference(resolution,[],[f173,f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,X0)
      | r2_hidden(X1,X0)
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,X0)
      | r2_hidden(X1,X0)
      | v1_xboole_0(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0] :
      ( v1_xboole_0(X0)
      | r2_hidden(X1,X0)
      | ~ m1_subset_1(X1,X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] :
      ( m1_subset_1(X1,X0)
     => ( v1_xboole_0(X0)
        | r2_hidden(X1,X0) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X1,X0] :
      ( m1_subset_1(X0,X1)
     => ( r2_hidden(X0,X1)
        | v1_xboole_0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f173,plain,
    m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK2,sK3))),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 15:26:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (13812)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (13820)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (13801)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (13798)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (13803)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (13810)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (13813)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (13811)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52  % (13799)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (13813)Instruction limit reached!
% 0.20/0.52  % (13813)------------------------------
% 0.20/0.52  % (13813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (13813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (13813)Termination reason: Unknown
% 0.20/0.52  % (13813)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (13813)Memory used [KB]: 6012
% 0.20/0.52  % (13813)Time elapsed: 0.003 s
% 0.20/0.52  % (13813)Instructions burned: 4 (million)
% 0.20/0.52  % (13813)------------------------------
% 0.20/0.52  % (13813)------------------------------
% 0.20/0.52  % (13811)Refutation not found, incomplete strategy% (13811)------------------------------
% 0.20/0.52  % (13811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (13799)Refutation not found, incomplete strategy% (13799)------------------------------
% 0.20/0.52  % (13799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (13810)Instruction limit reached!
% 0.20/0.52  % (13810)------------------------------
% 0.20/0.52  % (13810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (13806)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (13818)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53  % (13810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (13810)Termination reason: Unknown
% 0.20/0.53  % (13810)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (13810)Memory used [KB]: 6140
% 0.20/0.53  % (13810)Time elapsed: 0.111 s
% 0.20/0.53  % (13810)Instructions burned: 7 (million)
% 0.20/0.53  % (13810)------------------------------
% 0.20/0.53  % (13810)------------------------------
% 0.20/0.53  % (13814)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (13823)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (13822)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53  % (13824)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.53  % (13800)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (13802)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (13800)Instruction limit reached!
% 0.20/0.53  % (13800)------------------------------
% 0.20/0.53  % (13800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (13800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (13800)Termination reason: Unknown
% 0.20/0.53  % (13800)Termination phase: shuffling
% 0.20/0.53  
% 0.20/0.53  % (13800)Memory used [KB]: 1535
% 0.20/0.53  % (13800)Time elapsed: 0.004 s
% 0.20/0.53  % (13800)Instructions burned: 3 (million)
% 0.20/0.53  % (13800)------------------------------
% 0.20/0.53  % (13800)------------------------------
% 0.20/0.53  % (13803)Instruction limit reached!
% 0.20/0.53  % (13803)------------------------------
% 0.20/0.53  % (13803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13807)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (13808)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54  % (13811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13811)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (13811)Memory used [KB]: 1535
% 0.20/0.54  % (13811)Time elapsed: 0.112 s
% 0.20/0.54  % (13811)Instructions burned: 4 (million)
% 0.20/0.54  % (13811)------------------------------
% 0.20/0.54  % (13811)------------------------------
% 0.20/0.54  % (13825)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (13803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13803)Termination reason: Unknown
% 0.20/0.54  % (13803)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (13803)Memory used [KB]: 1663
% 0.20/0.54  % (13803)Time elapsed: 0.127 s
% 0.20/0.54  % (13803)Instructions burned: 16 (million)
% 0.20/0.54  % (13803)------------------------------
% 0.20/0.54  % (13803)------------------------------
% 0.20/0.54  % (13805)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (13817)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (13817)Instruction limit reached!
% 0.20/0.54  % (13817)------------------------------
% 0.20/0.54  % (13817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13817)Termination reason: Unknown
% 0.20/0.54  % (13817)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (13817)Memory used [KB]: 1407
% 0.20/0.54  % (13817)Time elapsed: 0.003 s
% 0.20/0.54  % (13817)Instructions burned: 2 (million)
% 0.20/0.54  % (13817)------------------------------
% 0.20/0.54  % (13817)------------------------------
% 0.20/0.54  % (13809)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (13821)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54  % (13799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13799)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (13799)Memory used [KB]: 6012
% 0.20/0.54  % (13799)Time elapsed: 0.112 s
% 0.20/0.54  % (13799)Instructions burned: 4 (million)
% 0.20/0.54  % (13799)------------------------------
% 0.20/0.54  % (13799)------------------------------
% 0.20/0.55  % (13826)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55  % (13814)Instruction limit reached!
% 0.20/0.55  % (13814)------------------------------
% 0.20/0.55  % (13814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (13814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (13814)Termination reason: Unknown
% 0.20/0.55  % (13814)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (13814)Memory used [KB]: 6140
% 0.20/0.55  % (13814)Time elapsed: 0.098 s
% 0.20/0.55  % (13814)Instructions burned: 8 (million)
% 0.20/0.55  % (13814)------------------------------
% 0.20/0.55  % (13814)------------------------------
% 0.20/0.55  % (13818)Instruction limit reached!
% 0.20/0.55  % (13818)------------------------------
% 0.20/0.55  % (13818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (13818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (13818)Termination reason: Unknown
% 0.20/0.55  % (13818)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (13818)Memory used [KB]: 6140
% 0.20/0.55  % (13818)Time elapsed: 0.140 s
% 0.20/0.55  % (13818)Instructions burned: 11 (million)
% 0.20/0.55  % (13818)------------------------------
% 0.20/0.55  % (13818)------------------------------
% 0.20/0.55  % (13815)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (13819)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.55  % (13828)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.55  % (13816)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (13816)Instruction limit reached!
% 0.20/0.56  % (13816)------------------------------
% 0.20/0.56  % (13816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (13829)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.56  % (13809)Instruction limit reached!
% 0.20/0.56  % (13809)------------------------------
% 0.20/0.56  % (13809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (13816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (13816)Termination reason: Unknown
% 0.20/0.56  % (13816)Termination phase: Finite model building preprocessing
% 0.20/0.56  
% 0.20/0.56  % (13816)Memory used [KB]: 1535
% 0.20/0.56  % (13828)Instruction limit reached!
% 0.20/0.56  % (13828)------------------------------
% 0.20/0.56  % (13828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (13828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (13828)Termination reason: Unknown
% 0.20/0.56  % (13828)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (13828)Memory used [KB]: 6140
% 0.20/0.56  % (13828)Time elapsed: 0.165 s
% 0.20/0.56  % (13828)Instructions burned: 9 (million)
% 0.20/0.56  % (13828)------------------------------
% 0.20/0.56  % (13828)------------------------------
% 0.20/0.56  % (13816)Time elapsed: 0.004 s
% 0.20/0.56  % (13816)Instructions burned: 4 (million)
% 0.20/0.56  % (13816)------------------------------
% 0.20/0.56  % (13816)------------------------------
% 0.20/0.56  % (13802)Instruction limit reached!
% 0.20/0.56  % (13802)------------------------------
% 0.20/0.56  % (13802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (13809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (13809)Termination reason: Unknown
% 0.20/0.57  % (13809)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (13809)Memory used [KB]: 6268
% 0.20/0.57  % (13809)Time elapsed: 0.155 s
% 0.20/0.57  % (13809)Instructions burned: 12 (million)
% 0.20/0.57  % (13809)------------------------------
% 0.20/0.57  % (13809)------------------------------
% 0.20/0.57  % (13802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (13802)Termination reason: Unknown
% 0.20/0.57  % (13802)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (13802)Memory used [KB]: 6140
% 0.20/0.57  % (13802)Time elapsed: 0.154 s
% 0.20/0.57  % (13802)Instructions burned: 15 (million)
% 0.20/0.57  % (13802)------------------------------
% 0.20/0.57  % (13802)------------------------------
% 0.20/0.58  % (13812)Instruction limit reached!
% 0.20/0.58  % (13812)------------------------------
% 0.20/0.58  % (13812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (13825)First to succeed.
% 0.20/0.58  % (13812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (13812)Termination reason: Unknown
% 0.20/0.58  % (13812)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (13812)Memory used [KB]: 7036
% 0.20/0.58  % (13812)Time elapsed: 0.172 s
% 0.20/0.58  % (13812)Instructions burned: 53 (million)
% 0.20/0.58  % (13812)------------------------------
% 0.20/0.58  % (13812)------------------------------
% 0.20/0.59  % (13825)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Theorem for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (13825)------------------------------
% 0.20/0.59  % (13825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (13825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (13825)Termination reason: Refutation
% 0.20/0.59  
% 0.20/0.59  % (13825)Memory used [KB]: 6524
% 0.20/0.59  % (13825)Time elapsed: 0.135 s
% 0.20/0.59  % (13825)Instructions burned: 19 (million)
% 0.20/0.59  % (13825)------------------------------
% 0.20/0.59  % (13825)------------------------------
% 0.20/0.59  % (13795)Success in time 0.224 s
%------------------------------------------------------------------------------