TSTP Solution File: SEU157+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU157+1 : TPTP v8.2.0. Released v3.3.0.
% 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 : n019.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 03:45:07 EDT 2024

% Result   : Theorem 0.60s 0.84s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   66 (   3 unt;   0 def)
%            Number of atoms       :  250 (  60 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  298 ( 114   ~; 119   |;  52   &)
%                                         (   7 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :  165 ( 128   !;  37   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f162,plain,
    $false,
    inference(avatar_sat_refutation,[],[f65,f66,f67,f90,f160,f161]) ).

fof(f161,plain,
    ( spl11_3
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f155,f54,f62]) ).

fof(f62,plain,
    ( spl11_3
  <=> in(sK1,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f54,plain,
    ( spl11_1
  <=> in(sF9,sF10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f155,plain,
    ( in(sK1,sK3)
    | ~ spl11_1 ),
    inference(subsumption_resolution,[],[f154,f55]) ).

fof(f55,plain,
    ( in(sF9,sF10)
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f154,plain,
    ( ~ in(sF9,sF10)
    | in(sK1,sK3) ),
    inference(superposition,[],[f149,f49]) ).

fof(f49,plain,
    cartesian_product2(sK2,sK3) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ in(sF9,cartesian_product2(X0,X1))
      | in(sK1,X1) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( in(sK1,X1)
      | ~ in(sF9,cartesian_product2(X0,X1))
      | ~ in(sF9,cartesian_product2(X0,X1)) ),
    inference(superposition,[],[f46,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( sK1 = sK8(X0,X1,sF9)
      | ~ in(sF9,cartesian_product2(X0,X1)) ),
    inference(trivial_inequality_removal,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( sF9 != sF9
      | sK1 = sK8(X0,X1,sF9)
      | ~ in(sF9,cartesian_product2(X0,X1)) ),
    inference(superposition,[],[f74,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( sF9 = ordered_pair(sK0,sK8(X0,X1,sF9))
      | ~ in(sF9,cartesian_product2(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( sF9 = ordered_pair(sK0,sK8(X0,X1,sF9))
      | ~ in(sF9,cartesian_product2(X0,X1))
      | ~ in(sF9,cartesian_product2(X0,X1)) ),
    inference(superposition,[],[f45,f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( sK0 = sK7(X0,X1,sF9)
      | ~ in(sF9,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f99]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( sF9 != X2
      | sK0 = sK7(X0,X1,X2)
      | ~ in(X2,cartesian_product2(X0,X1)) ),
    inference(superposition,[],[f70,f45]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ordered_pair(X0,X1) != sF9
      | sK0 = X0 ),
    inference(superposition,[],[f41,f48]) ).

fof(f48,plain,
    ordered_pair(sK0,sK1) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] :
      ( ( X1 = X3
        & X0 = X2 )
      | ordered_pair(X0,X1) != ordered_pair(X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
     => ( X1 = X3
        & X0 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_zfmisc_1) ).

fof(f45,plain,
    ! [X0,X1,X8] :
      ( ordered_pair(sK7(X0,X1,X8),sK8(X0,X1,X8)) = X8
      | ~ in(X8,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,plain,
    ! [X2,X0,X1,X8] :
      ( ordered_pair(sK7(X0,X1,X8),sK8(X0,X1,X8)) = X8
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) = X2
        | ( ( ! [X4,X5] :
                ( ordered_pair(X4,X5) != sK4(X0,X1,X2)
                | ~ in(X5,X1)
                | ~ in(X4,X0) )
            | ~ in(sK4(X0,X1,X2),X2) )
          & ( ( sK4(X0,X1,X2) = ordered_pair(sK5(X0,X1,X2),sK6(X0,X1,X2))
              & in(sK6(X0,X1,X2),X1)
              & in(sK5(X0,X1,X2),X0) )
            | in(sK4(X0,X1,X2),X2) ) ) )
      & ( ! [X8] :
            ( ( in(X8,X2)
              | ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X1)
                  | ~ in(X9,X0) ) )
            & ( ( ordered_pair(sK7(X0,X1,X8),sK8(X0,X1,X8)) = X8
                & in(sK8(X0,X1,X8),X1)
                & in(sK7(X0,X1,X8),X0) )
              | ~ in(X8,X2) ) )
        | cartesian_product2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f24,f27,f26,f25]) ).

fof(f25,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) != sK4(X0,X1,X2)
              | ~ in(X5,X1)
              | ~ in(X4,X0) )
          | ~ in(sK4(X0,X1,X2),X2) )
        & ( ? [X7,X6] :
              ( ordered_pair(X6,X7) = sK4(X0,X1,X2)
              & in(X7,X1)
              & in(X6,X0) )
          | in(sK4(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( ordered_pair(X6,X7) = sK4(X0,X1,X2)
          & in(X7,X1)
          & in(X6,X0) )
     => ( sK4(X0,X1,X2) = ordered_pair(sK5(X0,X1,X2),sK6(X0,X1,X2))
        & in(sK6(X0,X1,X2),X1)
        & in(sK5(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0,X1,X8] :
      ( ? [X11,X12] :
          ( ordered_pair(X11,X12) = X8
          & in(X12,X1)
          & in(X11,X0) )
     => ( ordered_pair(sK7(X0,X1,X8),sK8(X0,X1,X8)) = X8
        & in(sK8(X0,X1,X8),X1)
        & in(sK7(X0,X1,X8),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,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,[],[f23]) ).

fof(f23,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,[],[f3]) ).

fof(f3,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/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ordered_pair(X0,X1) != sF9
      | sK1 = X1 ),
    inference(superposition,[],[f42,f48]) ).

fof(f42,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | X1 = X3 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f46,plain,
    ! [X0,X1,X8] :
      ( in(sK8(X0,X1,X8),X1)
      | ~ in(X8,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f33]) ).

fof(f33,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK8(X0,X1,X8),X1)
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f160,plain,
    ( spl11_2
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f159,f54,f58]) ).

fof(f58,plain,
    ( spl11_2
  <=> in(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f159,plain,
    ( in(sK0,sK2)
    | ~ spl11_1 ),
    inference(subsumption_resolution,[],[f118,f55]) ).

fof(f118,plain,
    ( ~ in(sF9,sF10)
    | in(sK0,sK2) ),
    inference(superposition,[],[f114,f49]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ in(sF9,cartesian_product2(X0,X1))
      | in(sK0,X0) ),
    inference(duplicate_literal_removal,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( in(sK0,X0)
      | ~ in(sF9,cartesian_product2(X0,X1))
      | ~ in(sF9,cartesian_product2(X0,X1)) ),
    inference(superposition,[],[f47,f109]) ).

fof(f47,plain,
    ! [X0,X1,X8] :
      ( in(sK7(X0,X1,X8),X0)
      | ~ in(X8,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f32]) ).

fof(f32,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK7(X0,X1,X8),X0)
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f90,plain,
    ( ~ spl11_3
    | spl11_1
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f89,f58,f54,f62]) ).

fof(f89,plain,
    ( in(sF9,sF10)
    | ~ in(sK1,sK3)
    | ~ spl11_2 ),
    inference(subsumption_resolution,[],[f84,f59]) ).

fof(f59,plain,
    ( in(sK0,sK2)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f84,plain,
    ( in(sF9,sF10)
    | ~ in(sK1,sK3)
    | ~ in(sK0,sK2) ),
    inference(superposition,[],[f81,f49]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( in(sF9,cartesian_product2(X0,X1))
      | ~ in(sK1,X1)
      | ~ in(sK0,X0) ),
    inference(superposition,[],[f44,f48]) ).

fof(f44,plain,
    ! [X10,X0,X1,X9] :
      ( in(ordered_pair(X9,X10),cartesian_product2(X0,X1))
      | ~ in(X10,X1)
      | ~ in(X9,X0) ),
    inference(equality_resolution,[],[f43]) ).

fof(f43,plain,
    ! [X2,X10,X0,X1,X9] :
      ( in(ordered_pair(X9,X10),X2)
      | ~ in(X10,X1)
      | ~ in(X9,X0)
      | cartesian_product2(X0,X1) != X2 ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( in(X8,X2)
      | ordered_pair(X9,X10) != X8
      | ~ in(X10,X1)
      | ~ in(X9,X0)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f67,plain,
    ( spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f52,f58,f54]) ).

fof(f52,plain,
    ( in(sK0,sK2)
    | in(sF9,sF10) ),
    inference(definition_folding,[],[f29,f49,f48]) ).

fof(f29,plain,
    ( in(sK0,sK2)
    | in(ordered_pair(sK0,sK1),cartesian_product2(sK2,sK3)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( ( ~ in(sK1,sK3)
      | ~ in(sK0,sK2)
      | ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,sK3)) )
    & ( ( in(sK1,sK3)
        & in(sK0,sK2) )
      | in(ordered_pair(sK0,sK1),cartesian_product2(sK2,sK3)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f21]) ).

fof(f21,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( ~ in(X1,X3)
          | ~ in(X0,X2)
          | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) )
        & ( ( in(X1,X3)
            & in(X0,X2) )
          | in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) )
   => ( ( ~ in(sK1,sK3)
        | ~ in(sK0,sK2)
        | ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,sK3)) )
      & ( ( in(sK1,sK3)
          & in(sK0,sK2) )
        | in(ordered_pair(sK0,sK1),cartesian_product2(sK2,sK3)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0,X1,X2,X3] :
      ( ( ~ in(X1,X3)
        | ~ in(X0,X2)
        | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) )
      & ( ( in(X1,X3)
          & in(X0,X2) )
        | in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2,X3] :
      ( ( ~ in(X1,X3)
        | ~ in(X0,X2)
        | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) )
      & ( ( in(X1,X3)
          & in(X0,X2) )
        | in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ? [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <~> ( in(X1,X3)
        & in(X0,X2) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      <=> ( in(X1,X3)
          & in(X0,X2) ) ),
    inference(negated_conjecture,[],[f10]) ).

fof(f10,conjecture,
    ! [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X1,X3)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).

fof(f66,plain,
    ( spl11_1
    | spl11_3 ),
    inference(avatar_split_clause,[],[f51,f62,f54]) ).

fof(f51,plain,
    ( in(sK1,sK3)
    | in(sF9,sF10) ),
    inference(definition_folding,[],[f30,f49,f48]) ).

fof(f30,plain,
    ( in(sK1,sK3)
    | in(ordered_pair(sK0,sK1),cartesian_product2(sK2,sK3)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f65,plain,
    ( ~ spl11_1
    | ~ spl11_2
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f50,f62,f58,f54]) ).

fof(f50,plain,
    ( ~ in(sK1,sK3)
    | ~ in(sK0,sK2)
    | ~ in(sF9,sF10) ),
    inference(definition_folding,[],[f31,f49,f48]) ).

fof(f31,plain,
    ( ~ in(sK1,sK3)
    | ~ in(sK0,sK2)
    | ~ in(ordered_pair(sK0,sK1),cartesian_product2(sK2,sK3)) ),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU157+1 : TPTP v8.2.0. Released v3.3.0.
% 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
% 0.13/0.35  % Computer : n019.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   : Sun May 19 16:27:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  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
% 0.60/0.82  % (11175)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.82  % (11173)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 (2995ds/34Mi)
% 0.60/0.82  % (11176)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.82  % (11174)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 (2995ds/51Mi)
% 0.60/0.82  % (11177)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 (2995ds/34Mi)
% 0.60/0.82  % (11178)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.82  % (11179)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 (2995ds/83Mi)
% 0.60/0.82  % (11180)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 (2995ds/56Mi)
% 0.60/0.82  % (11178)Refutation not found, incomplete strategy% (11178)------------------------------
% 0.60/0.82  % (11178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (11177)Refutation not found, incomplete strategy% (11177)------------------------------
% 0.60/0.82  % (11177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (11177)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (11177)Memory used [KB]: 1042
% 0.60/0.82  % (11177)Time elapsed: 0.003 s
% 0.60/0.82  % (11177)Instructions burned: 3 (million)
% 0.60/0.82  % (11178)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  % (11180)Refutation not found, incomplete strategy% (11180)------------------------------
% 0.60/0.82  % (11180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (11180)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (11180)Memory used [KB]: 1039
% 0.60/0.82  % (11180)Time elapsed: 0.003 s
% 0.60/0.82  % (11180)Instructions burned: 3 (million)
% 0.60/0.82  
% 0.60/0.82  % (11178)Memory used [KB]: 974
% 0.60/0.82  % (11178)Time elapsed: 0.003 s
% 0.60/0.82  % (11178)Instructions burned: 3 (million)
% 0.60/0.82  % (11177)------------------------------
% 0.60/0.82  % (11177)------------------------------
% 0.60/0.82  % (11180)------------------------------
% 0.60/0.82  % (11180)------------------------------
% 0.60/0.82  % (11178)------------------------------
% 0.60/0.82  % (11178)------------------------------
% 0.60/0.83  % (11173)Refutation not found, incomplete strategy% (11173)------------------------------
% 0.60/0.83  % (11173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (11173)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (11173)Memory used [KB]: 1059
% 0.60/0.83  % (11173)Time elapsed: 0.005 s
% 0.60/0.83  % (11173)Instructions burned: 5 (million)
% 0.60/0.83  % (11173)------------------------------
% 0.60/0.83  % (11173)------------------------------
% 0.60/0.83  % (11181)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 (2995ds/55Mi)
% 0.60/0.83  % (11183)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 (2995ds/208Mi)
% 0.60/0.83  % (11182)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 (2995ds/50Mi)
% 0.60/0.83  % (11184)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 (2995ds/52Mi)
% 0.60/0.83  % (11183)First to succeed.
% 0.60/0.83  % (11183)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11172"
% 0.60/0.84  % (11183)Refutation found. Thanks to Tanya!
% 0.60/0.84  % SZS status Theorem for theBenchmark
% 0.60/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.84  % (11183)------------------------------
% 0.60/0.84  % (11183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (11183)Termination reason: Refutation
% 0.60/0.84  
% 0.60/0.84  % (11183)Memory used [KB]: 1080
% 0.60/0.84  % (11183)Time elapsed: 0.008 s
% 0.60/0.84  % (11183)Instructions burned: 11 (million)
% 0.60/0.84  % (11172)Success in time 0.48 s
% 0.60/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------