TSTP Solution File: KRS113+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS113+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n022.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 : Sun May  5 07:17:54 EDT 2024

% Result   : Unsatisfiable 0.64s 0.84s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   77 (   7 unt;   0 def)
%            Number of atoms       :  291 (  22 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  331 ( 117   ~; 107   |;  77   &)
%                                         (  18 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :  145 ( 108   !;  37   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f219,plain,
    $false,
    inference(avatar_sat_refutation,[],[f187,f193,f200,f216,f218]) ).

fof(f218,plain,
    ~ spl7_7,
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | ~ spl7_7 ),
    inference(resolution,[],[f215,f154]) ).

fof(f154,plain,
    ~ cp(i2003_11_14_17_21_22376),
    inference(resolution,[],[f153,f149]) ).

fof(f149,plain,
    cpxcomp(i2003_11_14_17_21_22376),
    inference(resolution,[],[f117,f130]) ).

fof(f130,plain,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    file('/export/starexec/sandbox2/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249',axiom_7) ).

fof(f117,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cpxcomp(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cpxcomp(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        | ! [X2] :
            ( ~ ca_Vx2(X2)
            | ~ rr(X0,X2) )
        | ( sK0(X0) != sK1(X0)
          & rr(X0,sK1(X0))
          & rr(X0,sK0(X0)) ) )
      & ( ( cpxcomp(X0)
          & cp(sK2(X0))
          & rs(X0,sK2(X0))
          & ca_Vx2(sK3(X0))
          & rr(X0,sK3(X0))
          & ! [X7,X8] :
              ( X7 = X8
              | ~ rr(X0,X8)
              | ~ rr(X0,X7) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f74,f77,f76,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ? [X3,X4] :
          ( X3 != X4
          & rr(X0,X4)
          & rr(X0,X3) )
     => ( sK0(X0) != sK1(X0)
        & rr(X0,sK1(X0))
        & rr(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0] :
      ( ? [X5] :
          ( cp(X5)
          & rs(X0,X5) )
     => ( cp(sK2(X0))
        & rs(X0,sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0] :
      ( ? [X6] :
          ( ca_Vx2(X6)
          & rr(X0,X6) )
     => ( ca_Vx2(sK3(X0))
        & rr(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cpxcomp(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        | ! [X2] :
            ( ~ ca_Vx2(X2)
            | ~ rr(X0,X2) )
        | ? [X3,X4] :
            ( X3 != X4
            & rr(X0,X4)
            & rr(X0,X3) ) )
      & ( ( cpxcomp(X0)
          & ? [X5] :
              ( cp(X5)
              & rs(X0,X5) )
          & ? [X6] :
              ( ca_Vx2(X6)
              & rr(X0,X6) )
          & ! [X7,X8] :
              ( X7 = X8
              | ~ rr(X0,X8)
              | ~ rr(X0,X7) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cpxcomp(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        | ! [X2] :
            ( ~ ca_Vx2(X2)
            | ~ rr(X0,X2) )
        | ? [X3,X4] :
            ( X3 != X4
            & rr(X0,X4)
            & rr(X0,X3) ) )
      & ( ( cpxcomp(X0)
          & ? [X1] :
              ( cp(X1)
              & rs(X0,X1) )
          & ? [X2] :
              ( ca_Vx2(X2)
              & rr(X0,X2) )
          & ! [X3,X4] :
              ( X3 = X4
              | ~ rr(X0,X4)
              | ~ rr(X0,X3) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cpxcomp(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        | ! [X2] :
            ( ~ ca_Vx2(X2)
            | ~ rr(X0,X2) )
        | ? [X3,X4] :
            ( X3 != X4
            & rr(X0,X4)
            & rr(X0,X3) ) )
      & ( ( cpxcomp(X0)
          & ? [X1] :
              ( cp(X1)
              & rs(X0,X1) )
          & ? [X2] :
              ( ca_Vx2(X2)
              & rr(X0,X2) )
          & ! [X3,X4] :
              ( X3 = X4
              | ~ rr(X0,X4)
              | ~ rr(X0,X3) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( cpxcomp(X0)
        & ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        & ? [X2] :
            ( ca_Vx2(X2)
            & rr(X0,X2) )
        & ! [X3,X4] :
            ( X3 = X4
            | ~ rr(X0,X4)
            | ~ rr(X0,X3) ) ) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( cpxcomp(X0)
        & ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        & ? [X2] :
            ( ca_Vx2(X2)
            & rr(X0,X2) )
        & ! [X3,X4] :
            ( X3 = X4
            | ~ rr(X0,X4)
            | ~ rr(X0,X3) ) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( cpxcomp(X0)
        & ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        & ? [X2] :
            ( ca_Vx2(X2)
            & rr(X0,X2) )
        & ! [X3,X4] :
            ( ( rr(X0,X4)
              & rr(X0,X3) )
           => X3 = X4 ) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( cpxcomp(X3)
        & ? [X6] :
            ( cp(X6)
            & rs(X3,X6) )
        & ? [X6] :
            ( ca_Vx2(X6)
            & rr(X3,X6) )
        & ! [X4,X5] :
            ( ( rr(X3,X5)
              & rr(X3,X4) )
           => X4 = X5 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249',axiom_2) ).

fof(f153,plain,
    ! [X0] :
      ( ~ cpxcomp(X0)
      | ~ cp(X0) ),
    inference(resolution,[],[f123,f121]) ).

fof(f121,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cp(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ( cp(X0)
        | ra_Px1(X0,sK4(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f80,f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK4(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cp(X0) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( cp(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( cp(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3] :
      ( cp(X3)
    <=> ~ ? [X6] : ra_Px1(X3,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249',axiom_3) ).

fof(f123,plain,
    ! [X0] :
      ( ra_Px1(X0,sK5(X0))
      | ~ cpxcomp(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK5(X0))
        | ~ cpxcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f84,f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK5(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ cpxcomp(X0) ) ),
    inference(rectify,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ cpxcomp(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( cpxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X3] :
      ( cpxcomp(X3)
    <=> ? [X4] : ra_Px1(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249',axiom_4) ).

fof(f215,plain,
    ( cp(i2003_11_14_17_21_22376)
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl7_7
  <=> cp(i2003_11_14_17_21_22376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

fof(f216,plain,
    ( ~ spl7_3
    | spl7_7
    | ~ spl7_6 ),
    inference(avatar_split_clause,[],[f210,f197,f213,f181]) ).

fof(f181,plain,
    ( spl7_3
  <=> cUnsatisfiable(i2003_11_14_17_21_22376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f197,plain,
    ( spl7_6
  <=> sK3(i2003_11_14_17_21_22376) = sK2(i2003_11_14_17_21_22376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f210,plain,
    ( cp(i2003_11_14_17_21_22376)
    | ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | ~ spl7_6 ),
    inference(resolution,[],[f203,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( rinvS(sK2(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f129,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( rs(X0,sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ rs(X1,X0)
      | rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( rinvS(X0,X1)
        | ~ rs(X1,X0) )
      & ( rs(X1,X0)
        | ~ rinvS(X0,X1) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X6] :
      ( rinvS(X3,X6)
    <=> rs(X6,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249',axiom_6) ).

fof(f203,plain,
    ( ! [X0] :
        ( ~ rinvS(sK2(i2003_11_14_17_21_22376),X0)
        | cp(X0) )
    | ~ spl7_6 ),
    inference(superposition,[],[f163,f199]) ).

fof(f199,plain,
    ( sK3(i2003_11_14_17_21_22376) = sK2(i2003_11_14_17_21_22376)
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ rinvS(sK3(i2003_11_14_17_21_22376),X0)
      | cp(X0) ),
    inference(resolution,[],[f162,f130]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | cp(X1)
      | ~ rinvS(sK3(X0),X1) ),
    inference(resolution,[],[f125,f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ca_Vx2(sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f125,plain,
    ! [X2,X0] :
      ( ~ ca_Vx2(X0)
      | ~ rinvS(X0,X2)
      | cp(X2) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ( ca_Vx2(X0)
        | ( ~ cp(sK6(X0))
          & rinvS(X0,sK6(X0)) ) )
      & ( ! [X2] :
            ( cp(X2)
            | ~ rinvS(X0,X2) )
        | ~ ca_Vx2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f88,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ cp(X1)
          & rinvS(X0,X1) )
     => ( ~ cp(sK6(X0))
        & rinvS(X0,sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0] :
      ( ( ca_Vx2(X0)
        | ? [X1] :
            ( ~ cp(X1)
            & rinvS(X0,X1) ) )
      & ( ! [X2] :
            ( cp(X2)
            | ~ rinvS(X0,X2) )
        | ~ ca_Vx2(X0) ) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ( ca_Vx2(X0)
        | ? [X1] :
            ( ~ cp(X1)
            & rinvS(X0,X1) ) )
      & ( ! [X1] :
            ( cp(X1)
            | ~ rinvS(X0,X1) )
        | ~ ca_Vx2(X0) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ca_Vx2(X0)
    <=> ! [X1] :
          ( cp(X1)
          | ~ rinvS(X0,X1) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ca_Vx2(X0)
    <=> ! [X1] :
          ( rinvS(X0,X1)
         => cp(X1) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3] :
      ( ca_Vx2(X3)
    <=> ! [X6] :
          ( rinvS(X3,X6)
         => cp(X6) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249',axiom_5) ).

fof(f200,plain,
    ( ~ spl7_3
    | spl7_6
    | ~ spl7_4 ),
    inference(avatar_split_clause,[],[f195,f185,f197,f181]) ).

fof(f185,plain,
    ( spl7_4
  <=> ! [X0] :
        ( ~ rr(i2003_11_14_17_21_22376,X0)
        | sK3(i2003_11_14_17_21_22376) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f195,plain,
    ( sK3(i2003_11_14_17_21_22376) = sK2(i2003_11_14_17_21_22376)
    | ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | ~ spl7_4 ),
    inference(resolution,[],[f186,f158]) ).

fof(f158,plain,
    ! [X0] :
      ( rr(X0,sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f131,f115]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ rs(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rr(X0,X1) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X6] :
      ( rs(X3,X6)
     => rr(X3,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249',axiom_8) ).

fof(f186,plain,
    ( ! [X0] :
        ( ~ rr(i2003_11_14_17_21_22376,X0)
        | sK3(i2003_11_14_17_21_22376) = X0 )
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f193,plain,
    spl7_3,
    inference(avatar_contradiction_clause,[],[f192]) ).

fof(f192,plain,
    ( $false
    | spl7_3 ),
    inference(resolution,[],[f183,f130]) ).

fof(f183,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | spl7_3 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f187,plain,
    ( ~ spl7_3
    | spl7_4 ),
    inference(avatar_split_clause,[],[f178,f185,f181]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ rr(i2003_11_14_17_21_22376,X0)
      | sK3(i2003_11_14_17_21_22376) = X0
      | ~ cUnsatisfiable(i2003_11_14_17_21_22376) ),
    inference(resolution,[],[f177,f113]) ).

fof(f113,plain,
    ! [X0] :
      ( rr(X0,sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ rr(i2003_11_14_17_21_22376,X0)
      | ~ rr(i2003_11_14_17_21_22376,X1)
      | X0 = X1 ),
    inference(resolution,[],[f112,f130]) ).

fof(f112,plain,
    ! [X0,X8,X7] :
      ( ~ cUnsatisfiable(X0)
      | ~ rr(X0,X8)
      | ~ rr(X0,X7)
      | X7 = X8 ),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : KRS113+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % 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
% 0.15/0.37  % Computer : n022.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 19:51:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_UNS_RFO_SEQ problem
% 0.15/0.37  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/tmp/tmp.s0tvUjcOK4/Vampire---4.8_17249
% 0.64/0.83  % (17507)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.83  % (17506)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.83  % (17504)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 Vampire---4 for (2995ds/34Mi)
% 0.64/0.83  % (17505)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 Vampire---4 for (2995ds/51Mi)
% 0.64/0.83  % (17508)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 Vampire---4 for (2995ds/34Mi)
% 0.64/0.83  % (17509)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.83  % (17507)Refutation not found, incomplete strategy% (17507)------------------------------
% 0.64/0.83  % (17507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (17506)Refutation not found, incomplete strategy% (17506)------------------------------
% 0.64/0.83  % (17506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (17506)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (17506)Memory used [KB]: 948
% 0.64/0.83  % (17506)Time elapsed: 0.002 s
% 0.64/0.83  % (17506)Instructions burned: 2 (million)
% 0.64/0.83  % (17507)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (17504)Refutation not found, incomplete strategy% (17504)------------------------------
% 0.64/0.83  % (17504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (17504)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (17504)Memory used [KB]: 948
% 0.64/0.83  % (17504)Time elapsed: 0.002 s
% 0.64/0.83  % (17504)Instructions burned: 2 (million)
% 0.64/0.83  % (17511)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.64/0.83  % (17507)Memory used [KB]: 948
% 0.64/0.83  % (17507)Time elapsed: 0.002 s
% 0.64/0.83  % (17507)Instructions burned: 2 (million)
% 0.64/0.83  % (17509)Refutation not found, incomplete strategy% (17509)------------------------------
% 0.64/0.83  % (17509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (17509)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (17509)Memory used [KB]: 948
% 0.64/0.83  % (17509)Time elapsed: 0.002 s
% 0.64/0.83  % (17509)Instructions burned: 2 (million)
% 0.64/0.83  % (17506)------------------------------
% 0.64/0.83  % (17506)------------------------------
% 0.64/0.83  % (17504)------------------------------
% 0.64/0.83  % (17504)------------------------------
% 0.64/0.83  % (17507)------------------------------
% 0.64/0.83  % (17507)------------------------------
% 0.64/0.83  % (17511)Refutation not found, incomplete strategy% (17511)------------------------------
% 0.64/0.83  % (17511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (17511)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (17511)Memory used [KB]: 948
% 0.64/0.83  % (17511)Time elapsed: 0.002 s
% 0.64/0.83  % (17511)Instructions burned: 2 (million)
% 0.64/0.83  % (17509)------------------------------
% 0.64/0.83  % (17509)------------------------------
% 0.64/0.83  % (17511)------------------------------
% 0.64/0.83  % (17511)------------------------------
% 0.64/0.83  % (17508)Refutation not found, incomplete strategy% (17508)------------------------------
% 0.64/0.83  % (17508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (17508)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (17508)Memory used [KB]: 1032
% 0.64/0.83  % (17508)Time elapsed: 0.003 s
% 0.64/0.83  % (17508)Instructions burned: 3 (million)
% 0.64/0.83  % (17508)------------------------------
% 0.64/0.83  % (17508)------------------------------
% 0.64/0.84  % (17510)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 Vampire---4 for (2995ds/83Mi)
% 0.64/0.84  % (17510)Refutation not found, incomplete strategy% (17510)------------------------------
% 0.64/0.84  % (17510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (17510)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84  
% 0.64/0.84  % (17510)Memory used [KB]: 948
% 0.64/0.84  % (17510)Time elapsed: 0.003 s
% 0.64/0.84  % (17510)Instructions burned: 2 (million)
% 0.64/0.84  % (17505)First to succeed.
% 0.64/0.84  % (17510)------------------------------
% 0.64/0.84  % (17510)------------------------------
% 0.64/0.84  % (17516)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 Vampire---4 for (2995ds/55Mi)
% 0.64/0.84  % (17518)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.64/0.84  % (17517)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 Vampire---4 for (2995ds/50Mi)
% 0.64/0.84  % (17505)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17418"
% 0.64/0.84  % (17519)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 Vampire---4 for (2995ds/52Mi)
% 0.64/0.84  % (17520)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 Vampire---4 for (2995ds/518Mi)
% 0.64/0.84  % (17518)Refutation not found, incomplete strategy% (17518)------------------------------
% 0.64/0.84  % (17518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (17518)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84  
% 0.64/0.84  % (17518)Memory used [KB]: 948
% 0.64/0.84  % (17518)Time elapsed: 0.002 s
% 0.64/0.84  % (17518)Instructions burned: 2 (million)
% 0.64/0.84  % (17520)Refutation not found, incomplete strategy% (17520)------------------------------
% 0.64/0.84  % (17520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (17519)Refutation not found, incomplete strategy% (17519)------------------------------
% 0.64/0.84  % (17519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (17520)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84  
% 0.64/0.84  % (17520)Memory used [KB]: 948
% 0.64/0.84  % (17520)Time elapsed: 0.002 s
% 0.64/0.84  % (17520)Instructions burned: 2 (million)
% 0.64/0.84  % (17519)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84  
% 0.64/0.84  % (17519)Memory used [KB]: 948
% 0.64/0.84  % (17519)Time elapsed: 0.002 s
% 0.64/0.84  % (17519)Instructions burned: 2 (million)
% 0.64/0.84  % (17518)------------------------------
% 0.64/0.84  % (17518)------------------------------
% 0.64/0.84  % (17520)------------------------------
% 0.64/0.84  % (17520)------------------------------
% 0.64/0.84  % (17505)Refutation found. Thanks to Tanya!
% 0.64/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.84  % (17505)------------------------------
% 0.64/0.84  % (17505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (17505)Termination reason: Refutation
% 0.64/0.84  
% 0.64/0.84  % (17505)Memory used [KB]: 1084
% 0.64/0.84  % (17505)Time elapsed: 0.007 s
% 0.64/0.84  % (17505)Instructions burned: 7 (million)
% 0.64/0.84  % (17418)Success in time 0.462 s
% 0.64/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------