TSTP Solution File: SEU407+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU407+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 May 21 03:47:54 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   84 (  15 unt;   0 def)
%            Number of atoms       :  340 (  40 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  426 ( 170   ~; 141   |;  88   &)
%                                         (   9 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   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   :  120 ( 101   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f727,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f252,f261,f300,f726]) ).

fof(f726,plain,
    ~ spl13_1,
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f724,f235]) ).

fof(f235,plain,
    ( r2_hidden(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl13_1
  <=> r2_hidden(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f724,plain,
    ~ r2_hidden(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
    inference(forward_demodulation,[],[f723,f538]) ).

fof(f538,plain,
    u1_struct_0(k1_latsum_1(sK0,sK1)) = k2_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),
    inference(resolution,[],[f385,f132]) ).

fof(f132,plain,
    l1_orders_2(sK0),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( ~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
    & ~ r2_hidden(sK2,u1_struct_0(sK0))
    & m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
    & l1_orders_2(sK1)
    & ~ v3_struct_0(sK1)
    & l1_orders_2(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f61,f103,f102,f101]) ).

fof(f101,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) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK0)))
              & ~ r2_hidden(X2,u1_struct_0(sK0))
              & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
          & l1_orders_2(X1)
          & ~ v3_struct_0(X1) )
      & l1_orders_2(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK0)))
            & ~ r2_hidden(X2,u1_struct_0(sK0))
            & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
        & l1_orders_2(X1)
        & ~ v3_struct_0(X1) )
   => ( ? [X2] :
          ( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
          & ~ r2_hidden(X2,u1_struct_0(sK0))
          & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
      & l1_orders_2(sK1)
      & ~ v3_struct_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f103,plain,
    ( ? [X2] :
        ( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
        & ~ r2_hidden(X2,u1_struct_0(sK0))
        & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
   => ( ~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
      & ~ r2_hidden(sK2,u1_struct_0(sK0))
      & m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,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(flattening,[],[f60]) ).

fof(f60,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/sandbox2/benchmark/theBenchmark.p',t7_latsum_1) ).

fof(f385,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | u1_struct_0(k1_latsum_1(X0,sK1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) ),
    inference(resolution,[],[f206,f134]) ).

fof(f134,plain,
    l1_orders_2(sK1),
    inference(cnf_transformation,[],[f104]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ l1_orders_2(X1)
      | u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
      | ~ l1_orders_2(X0) ),
    inference(subsumption_resolution,[],[f205,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( v1_orders_2(k1_latsum_1(X0,X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ( l1_orders_2(k1_latsum_1(X0,X1))
        & v1_orders_2(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( l1_orders_2(k1_latsum_1(X0,X1))
        & v1_orders_2(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( l1_orders_2(X1)
        & l1_orders_2(X0) )
     => ( l1_orders_2(k1_latsum_1(X0,X1))
        & v1_orders_2(k1_latsum_1(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsum_1) ).

fof(f205,plain,
    ! [X0,X1] :
      ( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_orders_2(k1_latsum_1(X0,X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(subsumption_resolution,[],[f199,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( l1_orders_2(k1_latsum_1(X0,X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
      | ~ l1_orders_2(k1_latsum_1(X0,X1))
      | ~ v1_orders_2(k1_latsum_1(X0,X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,plain,
    ! [X2,X0,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(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [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)) )
                & ( ( 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(flattening,[],[f105]) ).

fof(f105,plain,
    ! [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)) )
                & ( ( 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(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [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) )
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [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) )
      | ~ 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) )
             => ( 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)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_latsum_1) ).

fof(f723,plain,
    ~ r2_hidden(sK2,k2_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))),
    inference(subsumption_resolution,[],[f718,f136]) ).

fof(f136,plain,
    ~ r2_hidden(sK2,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f104]) ).

fof(f718,plain,
    ( r2_hidden(sK2,u1_struct_0(sK0))
    | ~ r2_hidden(sK2,k2_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))) ),
    inference(resolution,[],[f358,f137]) ).

fof(f137,plain,
    ~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f104]) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X2,k4_xboole_0(X1,X0))
      | r2_hidden(X2,X0)
      | ~ r2_hidden(X2,k2_xboole_0(X0,X1)) ),
    inference(superposition,[],[f202,f157]) ).

fof(f157,plain,
    ! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).

fof(f202,plain,
    ! [X0,X1,X4] :
      ( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
      | r2_hidden(X4,X0)
      | r2_hidden(X4,X1) ),
    inference(equality_resolution,[],[f164]) ).

fof(f164,plain,
    ! [X2,X0,X1,X4] :
      ( r2_hidden(X4,X1)
      | r2_hidden(X4,X0)
      | ~ r2_hidden(X4,X2)
      | k2_xboole_0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ( ( ( ~ r2_hidden(sK7(X0,X1,X2),X1)
              & ~ r2_hidden(sK7(X0,X1,X2),X0) )
            | ~ r2_hidden(sK7(X0,X1,X2),X2) )
          & ( r2_hidden(sK7(X0,X1,X2),X1)
            | r2_hidden(sK7(X0,X1,X2),X0)
            | r2_hidden(sK7(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | ( ~ r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X0) ) )
            & ( r2_hidden(X4,X1)
              | r2_hidden(X4,X0)
              | ~ r2_hidden(X4,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f117,f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ r2_hidden(X3,X1)
              & ~ r2_hidden(X3,X0) )
            | ~ r2_hidden(X3,X2) )
          & ( r2_hidden(X3,X1)
            | r2_hidden(X3,X0)
            | r2_hidden(X3,X2) ) )
     => ( ( ( ~ r2_hidden(sK7(X0,X1,X2),X1)
            & ~ r2_hidden(sK7(X0,X1,X2),X0) )
          | ~ r2_hidden(sK7(X0,X1,X2),X2) )
        & ( r2_hidden(sK7(X0,X1,X2),X1)
          | r2_hidden(sK7(X0,X1,X2),X0)
          | r2_hidden(sK7(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | ( ~ r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X0) ) )
            & ( r2_hidden(X4,X1)
              | r2_hidden(X4,X0)
              | ~ r2_hidden(X4,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(rectify,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) ) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | ~ r2_hidden(X3,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) ) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | ~ 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,X1)
            | r2_hidden(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f300,plain,
    ~ spl13_3,
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f298,f131]) ).

fof(f131,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f104]) ).

fof(f298,plain,
    ( v3_struct_0(sK0)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f297,f132]) ).

fof(f297,plain,
    ( ~ l1_orders_2(sK0)
    | v3_struct_0(sK0)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f296,f134]) ).

fof(f296,plain,
    ( ~ l1_orders_2(sK1)
    | ~ l1_orders_2(sK0)
    | v3_struct_0(sK0)
    | ~ spl13_3 ),
    inference(resolution,[],[f138,f247]) ).

fof(f247,plain,
    ( v3_struct_0(k1_latsum_1(sK0,sK1))
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl13_3
  <=> v3_struct_0(k1_latsum_1(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f138,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,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( v1_orders_2(k1_latsum_1(X0,X1))
        & ~ v3_struct_0(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ( v1_orders_2(k1_latsum_1(X0,X1))
        & ~ v3_struct_0(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ( l1_orders_2(X1)
        & l1_orders_2(X0)
        & ~ v3_struct_0(X0) )
     => ( v1_orders_2(k1_latsum_1(X0,X1))
        & ~ v3_struct_0(k1_latsum_1(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_latsum_1) ).

fof(f261,plain,
    spl13_4,
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f260,plain,
    ( $false
    | spl13_4 ),
    inference(subsumption_resolution,[],[f259,f132]) ).

fof(f259,plain,
    ( ~ l1_orders_2(sK0)
    | spl13_4 ),
    inference(subsumption_resolution,[],[f258,f134]) ).

fof(f258,plain,
    ( ~ l1_orders_2(sK1)
    | ~ l1_orders_2(sK0)
    | spl13_4 ),
    inference(resolution,[],[f257,f143]) ).

fof(f257,plain,
    ( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
    | spl13_4 ),
    inference(resolution,[],[f251,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).

fof(f251,plain,
    ( ~ l1_struct_0(k1_latsum_1(sK0,sK1))
    | spl13_4 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl13_4
  <=> l1_struct_0(k1_latsum_1(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f252,plain,
    ( spl13_3
    | ~ spl13_4
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f241,f237,f249,f245]) ).

fof(f237,plain,
    ( spl13_2
  <=> v1_xboole_0(u1_struct_0(k1_latsum_1(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f241,plain,
    ( ~ l1_struct_0(k1_latsum_1(sK0,sK1))
    | v3_struct_0(k1_latsum_1(sK0,sK1))
    | ~ spl13_2 ),
    inference(resolution,[],[f239,f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( ( l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f239,plain,
    ( v1_xboole_0(u1_struct_0(k1_latsum_1(sK0,sK1)))
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f240,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f229,f237,f233]) ).

fof(f229,plain,
    ( v1_xboole_0(u1_struct_0(k1_latsum_1(sK0,sK1)))
    | r2_hidden(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
    inference(resolution,[],[f162,f135]) ).

fof(f135,plain,
    m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
    inference(cnf_transformation,[],[f104]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,X1)
      | v1_xboole_0(X1)
      | r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(flattening,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
     => ( r2_hidden(X0,X1)
        | v1_xboole_0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU407+1 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 16:15:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.73  % (17418)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.52/0.73  % (17412)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.52/0.73  % (17414)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.73  % (17415)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.52/0.73  % (17416)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.52/0.73  % (17417)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.52/0.73  % (17413)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.52/0.73  % (17417)Refutation not found, incomplete strategy% (17417)------------------------------
% 0.52/0.73  % (17417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73  % (17417)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73  
% 0.52/0.73  % (17417)Memory used [KB]: 1054
% 0.52/0.73  % (17417)Time elapsed: 0.004 s
% 0.52/0.73  % (17417)Instructions burned: 4 (million)
% 0.52/0.73  % (17417)------------------------------
% 0.52/0.73  % (17417)------------------------------
% 0.52/0.73  % (17419)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.52/0.73  % (17419)Refutation not found, incomplete strategy% (17419)------------------------------
% 0.52/0.73  % (17419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73  % (17419)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73  
% 0.52/0.73  % (17419)Memory used [KB]: 1054
% 0.52/0.73  % (17419)Time elapsed: 0.003 s
% 0.52/0.73  % (17419)Instructions burned: 3 (million)
% 0.52/0.73  % (17419)------------------------------
% 0.52/0.73  % (17419)------------------------------
% 0.52/0.74  % (17421)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.52/0.74  % (17420)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.75  % (17415)Instruction limit reached!
% 0.57/0.75  % (17415)------------------------------
% 0.57/0.75  % (17415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (17415)Termination reason: Unknown
% 0.57/0.75  % (17415)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (17415)Memory used [KB]: 1556
% 0.57/0.75  % (17415)Time elapsed: 0.018 s
% 0.57/0.75  % (17415)Instructions burned: 33 (million)
% 0.57/0.75  % (17415)------------------------------
% 0.57/0.75  % (17415)------------------------------
% 0.57/0.75  % (17412)Instruction limit reached!
% 0.57/0.75  % (17412)------------------------------
% 0.57/0.75  % (17412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (17412)Termination reason: Unknown
% 0.57/0.75  % (17412)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (17412)Memory used [KB]: 1256
% 0.57/0.75  % (17412)Time elapsed: 0.020 s
% 0.57/0.75  % (17412)Instructions burned: 35 (million)
% 0.57/0.75  % (17412)------------------------------
% 0.57/0.75  % (17412)------------------------------
% 0.57/0.75  % (17416)Instruction limit reached!
% 0.57/0.75  % (17416)------------------------------
% 0.57/0.75  % (17416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (17416)Termination reason: Unknown
% 0.57/0.75  % (17416)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (17416)Memory used [KB]: 1575
% 0.57/0.75  % (17416)Time elapsed: 0.021 s
% 0.57/0.75  % (17416)Instructions burned: 34 (million)
% 0.57/0.75  % (17416)------------------------------
% 0.57/0.75  % (17416)------------------------------
% 0.57/0.75  % (17422)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.75  % (17414)First to succeed.
% 0.57/0.75  % (17423)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.57/0.75  % (17418)Instruction limit reached!
% 0.57/0.75  % (17418)------------------------------
% 0.57/0.75  % (17418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (17418)Termination reason: Unknown
% 0.57/0.75  % (17418)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (17418)Memory used [KB]: 2131
% 0.57/0.75  % (17418)Time elapsed: 0.025 s
% 0.57/0.75  % (17418)Instructions burned: 86 (million)
% 0.57/0.75  % (17414)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17411"
% 0.57/0.75  % (17418)------------------------------
% 0.57/0.75  % (17418)------------------------------
% 0.57/0.75  % (17414)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for theBenchmark
% 0.57/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.75  % (17414)------------------------------
% 0.57/0.75  % (17414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (17414)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (17414)Memory used [KB]: 1399
% 0.57/0.75  % (17414)Time elapsed: 0.024 s
% 0.57/0.75  % (17414)Instructions burned: 36 (million)
% 0.57/0.75  % (17411)Success in time 0.388 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------