TSTP Solution File: SET952+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET952+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 03:14:04 EDT 2024

% Result   : Theorem 1.52s 0.93s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   84 (  14 unt;   0 def)
%            Number of atoms       :  356 (  57 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  434 ( 162   ~; 164   |;  86   &)
%                                         (  14 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   2 con; 0-3 aty)
%            Number of variables   :  205 ( 170   !;  35   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f660,plain,
    $false,
    inference(avatar_sat_refutation,[],[f442,f487,f501,f629,f659]) ).

fof(f659,plain,
    ( ~ spl13_9
    | spl13_2 ),
    inference(avatar_split_clause,[],[f655,f439,f480]) ).

fof(f480,plain,
    ( spl13_9
  <=> in(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),set_union2(sK11,sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f439,plain,
    ( spl13_2
  <=> in(singleton(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),powerset(set_union2(sK11,sK12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f655,plain,
    ( ~ in(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),set_union2(sK11,sK12))
    | spl13_2 ),
    inference(resolution,[],[f643,f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( subset(singleton(X0),X1)
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ~ subset(singleton(X0),X1) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).

fof(f643,plain,
    ( ~ subset(singleton(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),set_union2(sK11,sK12))
    | spl13_2 ),
    inference(resolution,[],[f441,f116]) ).

fof(f116,plain,
    ! [X3,X0] :
      ( in(X3,powerset(X0))
      | ~ subset(X3,X0) ),
    inference(equality_resolution,[],[f69]) ).

fof(f69,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ subset(X3,X0)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ( ( ~ subset(sK0(X0,X1),X0)
            | ~ in(sK0(X0,X1),X1) )
          & ( subset(sK0(X0,X1),X0)
            | in(sK0(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X2,X0)
            | ~ in(X2,X1) )
          & ( subset(X2,X0)
            | in(X2,X1) ) )
     => ( ( ~ subset(sK0(X0,X1),X0)
          | ~ in(sK0(X0,X1),X1) )
        & ( subset(sK0(X0,X1),X0)
          | in(sK0(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ~ subset(X2,X0) )
            & ( subset(X2,X0)
              | ~ in(X2,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( powerset(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f441,plain,
    ( ~ in(singleton(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),powerset(set_union2(sK11,sK12)))
    | spl13_2 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f629,plain,
    spl13_10,
    inference(avatar_contradiction_clause,[],[f623]) ).

fof(f623,plain,
    ( $false
    | spl13_10 ),
    inference(resolution,[],[f604,f132]) ).

fof(f132,plain,
    in(sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),cartesian_product2(sK11,sK12)),
    inference(resolution,[],[f105,f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK8(X0,X1),X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK8(X0,X1),X1)
          & in(sK8(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f53,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK8(X0,X1),X1)
        & in(sK8(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f105,plain,
    ~ subset(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ~ subset(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f29,f61]) ).

fof(f61,plain,
    ( ? [X0,X1] : ~ subset(cartesian_product2(X0,X1),powerset(powerset(set_union2(X0,X1))))
   => ~ subset(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ? [X0,X1] : ~ subset(cartesian_product2(X0,X1),powerset(powerset(set_union2(X0,X1)))),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X0,X1] : subset(cartesian_product2(X0,X1),powerset(powerset(set_union2(X0,X1)))),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X0,X1] : subset(cartesian_product2(X0,X1),powerset(powerset(set_union2(X0,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t105_zfmisc_1) ).

fof(f604,plain,
    ( ~ in(sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),cartesian_product2(sK11,sK12))
    | spl13_10 ),
    inference(resolution,[],[f561,f129]) ).

fof(f129,plain,
    ! [X0,X1,X8] :
      ( in(sK7(X0,X1,X8),X1)
      | ~ in(X8,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f85]) ).

fof(f85,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK7(X0,X1,X8),X1)
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) = X2
        | ( ( ! [X4,X5] :
                ( ordered_pair(X4,X5) != sK3(X0,X1,X2)
                | ~ in(X5,X1)
                | ~ in(X4,X0) )
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( ( sK3(X0,X1,X2) = ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2))
              & in(sK5(X0,X1,X2),X1)
              & in(sK4(X0,X1,X2),X0) )
            | in(sK3(X0,X1,X2),X2) ) ) )
      & ( ! [X8] :
            ( ( in(X8,X2)
              | ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X1)
                  | ~ in(X9,X0) ) )
            & ( ( ordered_pair(sK6(X0,X1,X8),sK7(X0,X1,X8)) = X8
                & in(sK7(X0,X1,X8),X1)
                & in(sK6(X0,X1,X8),X0) )
              | ~ in(X8,X2) ) )
        | cartesian_product2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f47,f50,f49,f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4,X5] :
                ( ordered_pair(X4,X5) != X3
                | ~ in(X5,X1)
                | ~ in(X4,X0) )
            | ~ in(X3,X2) )
          & ( ? [X6,X7] :
                ( ordered_pair(X6,X7) = X3
                & in(X7,X1)
                & in(X6,X0) )
            | in(X3,X2) ) )
     => ( ( ! [X5,X4] :
              ( ordered_pair(X4,X5) != sK3(X0,X1,X2)
              | ~ in(X5,X1)
              | ~ in(X4,X0) )
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( ? [X7,X6] :
              ( ordered_pair(X6,X7) = sK3(X0,X1,X2)
              & in(X7,X1)
              & in(X6,X0) )
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( ordered_pair(X6,X7) = sK3(X0,X1,X2)
          & in(X7,X1)
          & in(X6,X0) )
     => ( sK3(X0,X1,X2) = ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2))
        & in(sK5(X0,X1,X2),X1)
        & in(sK4(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1,X8] :
      ( ? [X11,X12] :
          ( ordered_pair(X11,X12) = X8
          & in(X12,X1)
          & in(X11,X0) )
     => ( ordered_pair(sK6(X0,X1,X8),sK7(X0,X1,X8)) = X8
        & in(sK7(X0,X1,X8),X1)
        & in(sK6(X0,X1,X8),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) = X2
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) )
              | ~ in(X3,X2) )
            & ( ? [X6,X7] :
                  ( ordered_pair(X6,X7) = X3
                  & in(X7,X1)
                  & in(X6,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X8] :
            ( ( in(X8,X2)
              | ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X1)
                  | ~ in(X9,X0) ) )
            & ( ? [X11,X12] :
                  ( ordered_pair(X11,X12) = X8
                  & in(X12,X1)
                  & in(X11,X0) )
              | ~ in(X8,X2) ) )
        | cartesian_product2(X0,X1) != X2 ) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) = X2
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) )
              | ~ in(X3,X2) )
            & ( ? [X4,X5] :
                  ( ordered_pair(X4,X5) = X3
                  & in(X5,X1)
                  & in(X4,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) ) )
            & ( ? [X4,X5] :
                  ( ordered_pair(X4,X5) = X3
                  & in(X5,X1)
                  & in(X4,X0) )
              | ~ in(X3,X2) ) )
        | cartesian_product2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( cartesian_product2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ? [X4,X5] :
              ( ordered_pair(X4,X5) = X3
              & in(X5,X1)
              & in(X4,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).

fof(f561,plain,
    ( ~ in(sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK12)
    | spl13_10 ),
    inference(resolution,[],[f486,f123]) ).

fof(f123,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f80]) ).

fof(f80,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ( ( ( ~ in(sK2(X0,X1,X2),X1)
              & ~ in(sK2(X0,X1,X2),X0) )
            | ~ in(sK2(X0,X1,X2),X2) )
          & ( in(sK2(X0,X1,X2),X1)
            | in(sK2(X0,X1,X2),X0)
            | in(sK2(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f43,f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK2(X0,X1,X2),X1)
            & ~ in(sK2(X0,X1,X2),X0) )
          | ~ in(sK2(X0,X1,X2),X2) )
        & ( in(sK2(X0,X1,X2),X1)
          | in(sK2(X0,X1,X2),X0)
          | in(sK2(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f486,plain,
    ( ~ in(sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),set_union2(sK11,sK12))
    | spl13_10 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl13_10
  <=> in(sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),set_union2(sK11,sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f501,plain,
    spl13_9,
    inference(avatar_contradiction_clause,[],[f495]) ).

fof(f495,plain,
    ( $false
    | spl13_9 ),
    inference(resolution,[],[f492,f132]) ).

fof(f492,plain,
    ( ~ in(sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),cartesian_product2(sK11,sK12))
    | spl13_9 ),
    inference(resolution,[],[f488,f130]) ).

fof(f130,plain,
    ! [X0,X1,X8] :
      ( in(sK6(X0,X1,X8),X0)
      | ~ in(X8,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f84]) ).

fof(f84,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK6(X0,X1,X8),X0)
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f488,plain,
    ( ~ in(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK11)
    | spl13_9 ),
    inference(resolution,[],[f482,f124]) ).

fof(f124,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f482,plain,
    ( ~ in(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),set_union2(sK11,sK12))
    | spl13_9 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f487,plain,
    ( ~ spl13_9
    | ~ spl13_10
    | spl13_1 ),
    inference(avatar_split_clause,[],[f475,f435,f484,f480]) ).

fof(f435,plain,
    ( spl13_1
  <=> in(unordered_pair(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),powerset(set_union2(sK11,sK12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f475,plain,
    ( ~ in(sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),set_union2(sK11,sK12))
    | ~ in(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),set_union2(sK11,sK12))
    | spl13_1 ),
    inference(resolution,[],[f469,f109]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( subset(unordered_pair(X0,X1),X2)
      | ~ in(X1,X2)
      | ~ in(X0,X2) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( subset(unordered_pair(X0,X1),X2)
        | ~ in(X1,X2)
        | ~ in(X0,X2) )
      & ( ( in(X1,X2)
          & in(X0,X2) )
        | ~ subset(unordered_pair(X0,X1),X2) ) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ( subset(unordered_pair(X0,X1),X2)
        | ~ in(X1,X2)
        | ~ in(X0,X2) )
      & ( ( in(X1,X2)
          & in(X0,X2) )
        | ~ subset(unordered_pair(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1,X2] :
      ( subset(unordered_pair(X0,X1),X2)
    <=> ( in(X1,X2)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).

fof(f469,plain,
    ( ~ subset(unordered_pair(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),set_union2(sK11,sK12))
    | spl13_1 ),
    inference(resolution,[],[f437,f116]) ).

fof(f437,plain,
    ( ~ in(unordered_pair(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),powerset(set_union2(sK11,sK12)))
    | spl13_1 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f442,plain,
    ( ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f427,f439,f435]) ).

fof(f427,plain,
    ( ~ in(singleton(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),powerset(set_union2(sK11,sK12)))
    | ~ in(unordered_pair(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),powerset(set_union2(sK11,sK12))) ),
    inference(resolution,[],[f227,f141]) ).

fof(f141,plain,
    ~ subset(sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),powerset(set_union2(sK11,sK12))),
    inference(resolution,[],[f133,f116]) ).

fof(f133,plain,
    ~ in(sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),powerset(powerset(set_union2(sK11,sK12)))),
    inference(resolution,[],[f105,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK8(X0,X1),X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f227,plain,
    ! [X0] :
      ( subset(sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))),X0)
      | ~ in(singleton(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),X0)
      | ~ in(unordered_pair(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),X0) ),
    inference(superposition,[],[f109,f139]) ).

fof(f139,plain,
    sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))) = unordered_pair(unordered_pair(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))),sK7(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12)))))),singleton(sK6(sK11,sK12,sK8(cartesian_product2(sK11,sK12),powerset(powerset(set_union2(sK11,sK12))))))),
    inference(resolution,[],[f132,f128]) ).

fof(f128,plain,
    ! [X0,X1,X8] :
      ( ~ in(X8,cartesian_product2(X0,X1))
      | unordered_pair(unordered_pair(sK6(X0,X1,X8),sK7(X0,X1,X8)),singleton(sK6(X0,X1,X8))) = X8 ),
    inference(equality_resolution,[],[f114]) ).

fof(f114,plain,
    ! [X2,X0,X1,X8] :
      ( unordered_pair(unordered_pair(sK6(X0,X1,X8),sK7(X0,X1,X8)),singleton(sK6(X0,X1,X8))) = X8
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f86,f95]) ).

fof(f95,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f86,plain,
    ! [X2,X0,X1,X8] :
      ( ordered_pair(sK6(X0,X1,X8),sK7(X0,X1,X8)) = X8
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET952+1 : TPTP v8.2.0. Released v3.2.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n004.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   : Mon May 20 11:25:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74  % (10962)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)
% 0.55/0.74  % (10954)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)
% 0.55/0.74  % (10956)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74  % (10955)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)
% 0.55/0.74  % (10959)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)
% 0.55/0.74  % (10957)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)
% 0.55/0.74  % (10960)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)
% 0.55/0.74  % (10961)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)
% 0.59/0.76  % (10962)Instruction limit reached!
% 0.59/0.76  % (10962)------------------------------
% 0.59/0.76  % (10962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (10962)Termination reason: Unknown
% 0.59/0.76  % (10962)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (10962)Memory used [KB]: 1302
% 0.59/0.76  % (10962)Time elapsed: 0.020 s
% 0.59/0.76  % (10962)Instructions burned: 58 (million)
% 0.59/0.76  % (10962)------------------------------
% 0.59/0.76  % (10962)------------------------------
% 0.59/0.76  % (10957)Instruction limit reached!
% 0.59/0.76  % (10957)------------------------------
% 0.59/0.76  % (10957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (10957)Termination reason: Unknown
% 0.59/0.76  % (10957)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (10957)Memory used [KB]: 1474
% 0.59/0.76  % (10957)Time elapsed: 0.020 s
% 0.59/0.76  % (10957)Instructions burned: 34 (million)
% 0.59/0.76  % (10957)------------------------------
% 0.59/0.76  % (10957)------------------------------
% 0.59/0.76  % (10954)Instruction limit reached!
% 0.59/0.76  % (10954)------------------------------
% 0.59/0.76  % (10954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (10954)Termination reason: Unknown
% 0.59/0.76  % (10954)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (10954)Memory used [KB]: 1332
% 0.59/0.76  % (10954)Time elapsed: 0.022 s
% 0.59/0.76  % (10954)Instructions burned: 35 (million)
% 0.59/0.76  % (10954)------------------------------
% 0.59/0.76  % (10954)------------------------------
% 0.59/0.76  % (10973)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)
% 0.59/0.76  % (10959)Instruction limit reached!
% 0.59/0.76  % (10959)------------------------------
% 0.59/0.76  % (10959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (10960)Instruction limit reached!
% 0.59/0.76  % (10960)------------------------------
% 0.59/0.76  % (10960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (10959)Termination reason: Unknown
% 0.59/0.76  % (10959)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (10959)Memory used [KB]: 1443
% 0.59/0.76  % (10959)Time elapsed: 0.022 s
% 0.59/0.76  % (10959)Instructions burned: 34 (million)
% 0.59/0.76  % (10959)------------------------------
% 0.59/0.76  % (10959)------------------------------
% 0.59/0.76  % (10960)Termination reason: Unknown
% 0.59/0.76  % (10960)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (10960)Memory used [KB]: 1172
% 0.59/0.76  % (10960)Time elapsed: 0.022 s
% 0.59/0.76  % (10960)Instructions burned: 46 (million)
% 0.59/0.76  % (10960)------------------------------
% 0.59/0.76  % (10960)------------------------------
% 0.59/0.76  % (10974)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)
% 0.59/0.77  % (10976)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)
% 0.59/0.77  % (10977)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)
% 0.59/0.77  % (10978)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.59/0.77  % (10955)Instruction limit reached!
% 0.59/0.77  % (10955)------------------------------
% 0.59/0.77  % (10955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (10955)Termination reason: Unknown
% 0.59/0.77  % (10955)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (10955)Memory used [KB]: 1413
% 0.59/0.77  % (10955)Time elapsed: 0.032 s
% 0.59/0.77  % (10955)Instructions burned: 52 (million)
% 0.59/0.77  % (10955)------------------------------
% 0.59/0.77  % (10955)------------------------------
% 0.59/0.78  % (10984)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.59/0.78  % (10973)Instruction limit reached!
% 0.59/0.78  % (10973)------------------------------
% 0.59/0.78  % (10973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (10973)Termination reason: Unknown
% 0.59/0.78  % (10973)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (10973)Memory used [KB]: 1684
% 0.59/0.78  % (10973)Time elapsed: 0.019 s
% 0.59/0.78  % (10973)Instructions burned: 57 (million)
% 0.59/0.78  % (10973)------------------------------
% 0.59/0.78  % (10973)------------------------------
% 0.59/0.78  % (10990)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.59/0.79  % (10961)Instruction limit reached!
% 0.59/0.79  % (10961)------------------------------
% 0.59/0.79  % (10961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (10961)Termination reason: Unknown
% 0.59/0.79  % (10961)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (10961)Memory used [KB]: 1722
% 0.59/0.79  % (10961)Time elapsed: 0.047 s
% 0.59/0.79  % (10961)Instructions burned: 84 (million)
% 0.59/0.79  % (10961)------------------------------
% 0.59/0.79  % (10961)------------------------------
% 0.59/0.79  % (10956)Instruction limit reached!
% 0.59/0.79  % (10956)------------------------------
% 0.59/0.79  % (10956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (10956)Termination reason: Unknown
% 0.59/0.79  % (10956)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (10956)Memory used [KB]: 1780
% 0.59/0.79  % (10956)Time elapsed: 0.049 s
% 0.59/0.79  % (10956)Instructions burned: 78 (million)
% 0.59/0.79  % (10956)------------------------------
% 0.59/0.79  % (10956)------------------------------
% 0.59/0.79  % (10996)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.59/0.79  % (10974)Instruction limit reached!
% 0.59/0.79  % (10974)------------------------------
% 0.59/0.79  % (10974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (10974)Termination reason: Unknown
% 0.59/0.79  % (10974)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (10974)Memory used [KB]: 1532
% 0.59/0.79  % (10974)Time elapsed: 0.030 s
% 0.59/0.79  % (10974)Instructions burned: 51 (million)
% 0.59/0.79  % (10974)------------------------------
% 0.59/0.79  % (10974)------------------------------
% 0.59/0.79  % (10998)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.59/0.80  % (11000)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.59/0.80  % (10977)Instruction limit reached!
% 0.59/0.80  % (10977)------------------------------
% 0.59/0.80  % (10977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (10977)Termination reason: Unknown
% 0.59/0.80  % (10977)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (10977)Memory used [KB]: 1507
% 0.59/0.80  % (10977)Time elapsed: 0.056 s
% 0.59/0.80  % (10977)Instructions burned: 53 (million)
% 0.59/0.80  % (10977)------------------------------
% 0.59/0.80  % (10977)------------------------------
% 0.59/0.80  % (10984)Instruction limit reached!
% 0.59/0.80  % (10984)------------------------------
% 0.59/0.80  % (10984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (10984)Termination reason: Unknown
% 0.59/0.80  % (10984)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (10984)Memory used [KB]: 1383
% 0.59/0.80  % (10984)Time elapsed: 0.050 s
% 0.59/0.80  % (10984)Instructions burned: 43 (million)
% 0.59/0.80  % (10984)------------------------------
% 0.59/0.80  % (10984)------------------------------
% 0.59/0.80  % (11002)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.59/0.81  % (11003)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.59/0.83  % (11003)Instruction limit reached!
% 0.59/0.83  % (11003)------------------------------
% 0.59/0.83  % (11003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11003)Termination reason: Unknown
% 0.59/0.83  % (11003)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (11003)Memory used [KB]: 1209
% 0.59/0.83  % (11003)Time elapsed: 0.022 s
% 0.59/0.83  % (11003)Instructions burned: 32 (million)
% 0.59/0.83  % (11003)------------------------------
% 0.59/0.83  % (11003)------------------------------
% 0.59/0.83  % (11011)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.59/0.84  % (11002)Instruction limit reached!
% 0.59/0.84  % (11002)------------------------------
% 0.59/0.84  % (11002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (11002)Termination reason: Unknown
% 0.59/0.84  % (11002)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (11002)Memory used [KB]: 1829
% 0.59/0.84  % (11002)Time elapsed: 0.040 s
% 0.59/0.84  % (11002)Instructions burned: 63 (million)
% 0.59/0.84  % (11002)------------------------------
% 0.59/0.84  % (11002)------------------------------
% 0.59/0.84  % (11017)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 1.02/0.86  % (11000)Instruction limit reached!
% 1.02/0.86  % (11000)------------------------------
% 1.02/0.86  % (11000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.86  % (11000)Termination reason: Unknown
% 1.02/0.86  % (11000)Termination phase: Saturation
% 1.02/0.86  
% 1.02/0.86  % (11000)Memory used [KB]: 1791
% 1.02/0.86  % (11000)Time elapsed: 0.060 s
% 1.02/0.86  % (11000)Instructions burned: 94 (million)
% 1.02/0.86  % (11000)------------------------------
% 1.02/0.86  % (11000)------------------------------
% 1.02/0.86  % (10996)Instruction limit reached!
% 1.02/0.86  % (10996)------------------------------
% 1.02/0.86  % (10996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.86  % (10996)Termination reason: Unknown
% 1.02/0.86  % (10996)Termination phase: Saturation
% 1.02/0.86  
% 1.02/0.86  % (10996)Memory used [KB]: 1791
% 1.02/0.86  % (10996)Time elapsed: 0.093 s
% 1.02/0.86  % (10996)Instructions burned: 118 (million)
% 1.02/0.86  % (10996)------------------------------
% 1.02/0.86  % (10996)------------------------------
% 1.02/0.86  % (11022)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 1.02/0.86  % (10990)Instruction limit reached!
% 1.02/0.86  % (10990)------------------------------
% 1.02/0.86  % (10990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.86  % (10990)Termination reason: Unknown
% 1.02/0.86  % (10990)Termination phase: Saturation
% 1.02/0.86  
% 1.02/0.86  % (10990)Memory used [KB]: 2558
% 1.02/0.86  % (10990)Time elapsed: 0.101 s
% 1.02/0.86  % (10990)Instructions burned: 243 (million)
% 1.02/0.86  % (10990)------------------------------
% 1.02/0.86  % (10990)------------------------------
% 1.02/0.86  % (11024)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 1.02/0.86  % (11023)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 1.02/0.87  % (10998)Instruction limit reached!
% 1.02/0.87  % (10998)------------------------------
% 1.02/0.87  % (10998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.87  % (10998)Termination reason: Unknown
% 1.02/0.87  % (10998)Termination phase: Saturation
% 1.02/0.87  
% 1.02/0.87  % (10998)Memory used [KB]: 2138
% 1.02/0.87  % (10998)Time elapsed: 0.098 s
% 1.02/0.87  % (10998)Instructions burned: 145 (million)
% 1.02/0.87  % (10998)------------------------------
% 1.02/0.87  % (10998)------------------------------
% 1.02/0.87  % (11025)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2994ds/35Mi)
% 1.02/0.87  % (11017)Instruction limit reached!
% 1.02/0.87  % (11017)------------------------------
% 1.02/0.87  % (11017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.87  % (11017)Termination reason: Unknown
% 1.02/0.87  % (11017)Termination phase: Saturation
% 1.02/0.87  
% 1.02/0.87  % (11017)Memory used [KB]: 1788
% 1.02/0.87  % (11017)Time elapsed: 0.029 s
% 1.02/0.87  % (11017)Instructions burned: 55 (million)
% 1.02/0.87  % (11017)------------------------------
% 1.02/0.87  % (11017)------------------------------
% 1.02/0.87  % (11026)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 1.02/0.88  % (10976)Instruction limit reached!
% 1.02/0.88  % (10976)------------------------------
% 1.02/0.88  % (10976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.88  % (10976)Termination reason: Unknown
% 1.02/0.88  % (10976)Termination phase: Saturation
% 1.02/0.88  
% 1.02/0.88  % (10976)Memory used [KB]: 2594
% 1.02/0.88  % (10976)Time elapsed: 0.136 s
% 1.02/0.88  % (10976)Instructions burned: 208 (million)
% 1.02/0.88  % (10976)------------------------------
% 1.02/0.88  % (10976)------------------------------
% 1.02/0.88  % (11022)Instruction limit reached!
% 1.02/0.88  % (11022)------------------------------
% 1.02/0.88  % (11022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.88  % (11022)Termination reason: Unknown
% 1.02/0.88  % (11022)Termination phase: Saturation
% 1.02/0.88  
% 1.02/0.88  % (11022)Memory used [KB]: 1513
% 1.02/0.88  % (11022)Time elapsed: 0.023 s
% 1.02/0.88  % (11022)Instructions burned: 55 (million)
% 1.02/0.88  % (11022)------------------------------
% 1.02/0.88  % (11022)------------------------------
% 1.02/0.88  % (11023)Instruction limit reached!
% 1.02/0.88  % (11023)------------------------------
% 1.02/0.88  % (11023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.88  % (11023)Termination reason: Unknown
% 1.02/0.88  % (11023)Termination phase: Saturation
% 1.02/0.88  
% 1.02/0.88  % (11023)Memory used [KB]: 1562
% 1.02/0.88  % (11023)Time elapsed: 0.019 s
% 1.02/0.88  % (11023)Instructions burned: 46 (million)
% 1.02/0.88  % (11023)------------------------------
% 1.02/0.88  % (11023)------------------------------
% 1.02/0.88  % (11027)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2994ds/109Mi)
% 1.02/0.88  % (11028)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 1.02/0.88  % (11025)Instruction limit reached!
% 1.02/0.88  % (11025)------------------------------
% 1.02/0.88  % (11025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.88  % (11025)Termination reason: Unknown
% 1.02/0.88  % (11025)Termination phase: Saturation
% 1.02/0.88  
% 1.02/0.88  % (11025)Memory used [KB]: 1221
% 1.02/0.88  % (11025)Time elapsed: 0.013 s
% 1.02/0.88  % (11025)Instructions burned: 36 (million)
% 1.02/0.88  % (11025)------------------------------
% 1.02/0.88  % (11025)------------------------------
% 1.02/0.88  % (11029)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 1.02/0.89  % (11030)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 1.52/0.89  % (11024)Instruction limit reached!
% 1.52/0.89  % (11024)------------------------------
% 1.52/0.89  % (11024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.89  % (11024)Termination reason: Unknown
% 1.52/0.89  % (11024)Termination phase: Saturation
% 1.52/0.89  
% 1.52/0.89  % (11024)Memory used [KB]: 1682
% 1.52/0.89  % (11024)Time elapsed: 0.030 s
% 1.52/0.89  % (11024)Instructions burned: 103 (million)
% 1.52/0.89  % (11024)------------------------------
% 1.52/0.89  % (11024)------------------------------
% 1.52/0.89  % (11033)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 1.52/0.90  % (11026)Instruction limit reached!
% 1.52/0.90  % (11026)------------------------------
% 1.52/0.90  % (11026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.90  % (11026)Termination reason: Unknown
% 1.52/0.90  % (11026)Termination phase: Saturation
% 1.52/0.90  
% 1.52/0.90  % (11026)Memory used [KB]: 1634
% 1.52/0.90  % (11026)Time elapsed: 0.028 s
% 1.52/0.90  % (11026)Instructions burned: 87 (million)
% 1.52/0.90  % (11026)------------------------------
% 1.52/0.90  % (11026)------------------------------
% 1.52/0.90  % (11030)Instruction limit reached!
% 1.52/0.90  % (11030)------------------------------
% 1.52/0.90  % (11030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.90  % (11030)Termination reason: Unknown
% 1.52/0.90  % (11030)Termination phase: Saturation
% 1.52/0.90  
% 1.52/0.90  % (11030)Memory used [KB]: 1509
% 1.52/0.90  % (11030)Time elapsed: 0.018 s
% 1.52/0.90  % (11030)Instructions burned: 40 (million)
% 1.52/0.90  % (11030)------------------------------
% 1.52/0.90  % (11030)------------------------------
% 1.52/0.90  % (11038)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 1.52/0.90  % (11040)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.52/0.91  % (11038)Refutation not found, incomplete strategy% (11038)------------------------------
% 1.52/0.91  % (11038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.91  % (11038)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.91  
% 1.52/0.91  % (11038)Memory used [KB]: 1048
% 1.52/0.91  % (11038)Time elapsed: 0.002 s
% 1.52/0.91  % (11038)Instructions burned: 5 (million)
% 1.52/0.91  % (11038)------------------------------
% 1.52/0.91  % (11038)------------------------------
% 1.52/0.91  % (11029)Instruction limit reached!
% 1.52/0.91  % (11029)------------------------------
% 1.52/0.91  % (11029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.91  % (11029)Termination reason: Unknown
% 1.52/0.91  % (11029)Termination phase: Saturation
% 1.52/0.91  
% 1.52/0.91  % (11029)Memory used [KB]: 1814
% 1.52/0.91  % (11029)Time elapsed: 0.025 s
% 1.52/0.91  % (11029)Instructions burned: 69 (million)
% 1.52/0.91  % (11029)------------------------------
% 1.52/0.91  % (11029)------------------------------
% 1.52/0.91  % (11042)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 1.52/0.91  % (11044)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.52/0.92  % (11027)Instruction limit reached!
% 1.52/0.92  % (11027)------------------------------
% 1.52/0.92  % (11027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.92  % (11027)Termination reason: Unknown
% 1.52/0.92  % (11027)Termination phase: Saturation
% 1.52/0.92  
% 1.52/0.92  % (11027)Memory used [KB]: 1802
% 1.52/0.92  % (11027)Time elapsed: 0.036 s
% 1.52/0.92  % (11027)Instructions burned: 109 (million)
% 1.52/0.92  % (11027)------------------------------
% 1.52/0.92  % (11027)------------------------------
% 1.52/0.92  % (11046)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.52/0.92  % (11042)Instruction limit reached!
% 1.52/0.92  % (11042)------------------------------
% 1.52/0.92  % (11042)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.92  % (11042)Termination reason: Unknown
% 1.52/0.92  % (11042)Termination phase: Saturation
% 1.52/0.92  
% 1.52/0.92  % (11042)Memory used [KB]: 1570
% 1.52/0.92  % (11042)Time elapsed: 0.015 s
% 1.52/0.92  % (11042)Instructions burned: 39 (million)
% 1.52/0.92  % (11042)------------------------------
% 1.52/0.92  % (11042)------------------------------
% 1.52/0.93  % (11049)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.52/0.93  % (11044)Instruction limit reached!
% 1.52/0.93  % (11044)------------------------------
% 1.52/0.93  % (11044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.93  % (11044)Termination reason: Unknown
% 1.52/0.93  % (11044)Termination phase: Saturation
% 1.52/0.93  
% 1.52/0.93  % (11044)Memory used [KB]: 1227
% 1.52/0.93  % (11044)Time elapsed: 0.019 s
% 1.52/0.93  % (11044)Instructions burned: 55 (million)
% 1.52/0.93  % (11044)------------------------------
% 1.52/0.93  % (11044)------------------------------
% 1.52/0.93  % (11028)Instruction limit reached!
% 1.52/0.93  % (11028)------------------------------
% 1.52/0.93  % (11028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.93  % (11028)Termination reason: Unknown
% 1.52/0.93  % (11028)Termination phase: Saturation
% 1.52/0.93  
% 1.52/0.93  % (11028)Memory used [KB]: 1968
% 1.52/0.93  % (11028)Time elapsed: 0.048 s
% 1.52/0.93  % (11028)Instructions burned: 164 (million)
% 1.52/0.93  % (11028)------------------------------
% 1.52/0.93  % (11028)------------------------------
% 1.52/0.93  % (11046)First to succeed.
% 1.52/0.93  % (11051)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.52/0.93  % (11046)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10835"
% 1.52/0.93  % (11046)Refutation found. Thanks to Tanya!
% 1.52/0.93  % SZS status Theorem for theBenchmark
% 1.52/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.93  % (11046)------------------------------
% 1.52/0.93  % (11046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.52/0.93  % (11046)Termination reason: Refutation
% 1.52/0.93  
% 1.52/0.93  % (11046)Memory used [KB]: 1330
% 1.52/0.93  % (11046)Time elapsed: 0.013 s
% 1.52/0.93  % (11046)Instructions burned: 36 (million)
% 1.52/0.93  % (10835)Success in time 0.566 s
% 1.52/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------