TSTP Solution File: SWC407+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC407+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : 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 : Wed Aug 31 18:41:01 EDT 2022

% Result   : Theorem 2.20s 0.66s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   75 (  11 unt;   0 def)
%            Number of atoms       :  385 ( 104 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  451 ( 141   ~; 132   |; 146   &)
%                                         (   8 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   92 (  40   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f558,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f229,f230,f231,f241,f252,f546,f554,f557]) ).

fof(f557,plain,
    ( ~ spl12_1
    | ~ spl12_3 ),
    inference(avatar_contradiction_clause,[],[f556]) ).

fof(f556,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3 ),
    inference(subsumption_resolution,[],[f551,f547]) ).

fof(f547,plain,
    ( ~ memberP(nil,sK5)
    | ~ spl12_1 ),
    inference(backward_demodulation,[],[f199,f209]) ).

fof(f209,plain,
    ( nil = sK3
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl12_1
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f199,plain,
    ~ memberP(sK3,sK5),
    inference(definition_unfolding,[],[f162,f159]) ).

fof(f159,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ssList(sK0)
    & ssList(sK1)
    & ( ( nil = sK3
        & nil = sK2 )
      | ( cons(sK4,nil) = sK2
        & ssItem(sK4)
        & memberP(sK3,sK4) ) )
    & sK0 = sK2
    & memberP(sK0,sK5)
    & ~ memberP(sK1,sK5)
    & ssItem(sK5)
    & ssList(sK3)
    & sK1 = sK3
    & ssList(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f126,f132,f131,f130,f129,f128,f127]) ).

fof(f127,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( ( ( nil = X3
                        & nil = X2 )
                      | ? [X4] :
                          ( cons(X4,nil) = X2
                          & ssItem(X4)
                          & memberP(X3,X4) ) )
                    & X0 = X2
                    & ? [X5] :
                        ( memberP(X0,X5)
                        & ~ memberP(X1,X5)
                        & ssItem(X5) )
                    & ssList(X3)
                    & X1 = X3 )
                & ssList(X2) ) ) )
   => ( ssList(sK0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( cons(X4,nil) = X2
                        & ssItem(X4)
                        & memberP(X3,X4) ) )
                  & sK0 = X2
                  & ? [X5] :
                      ( memberP(sK0,X5)
                      & ~ memberP(X1,X5)
                      & ssItem(X5) )
                  & ssList(X3)
                  & X1 = X3 )
              & ssList(X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ? [X3] :
                ( ( ( nil = X3
                    & nil = X2 )
                  | ? [X4] :
                      ( cons(X4,nil) = X2
                      & ssItem(X4)
                      & memberP(X3,X4) ) )
                & sK0 = X2
                & ? [X5] :
                    ( memberP(sK0,X5)
                    & ~ memberP(X1,X5)
                    & ssItem(X5) )
                & ssList(X3)
                & X1 = X3 )
            & ssList(X2) ) )
   => ( ssList(sK1)
      & ? [X2] :
          ( ? [X3] :
              ( ( ( nil = X3
                  & nil = X2 )
                | ? [X4] :
                    ( cons(X4,nil) = X2
                    & ssItem(X4)
                    & memberP(X3,X4) ) )
              & sK0 = X2
              & ? [X5] :
                  ( memberP(sK0,X5)
                  & ~ memberP(sK1,X5)
                  & ssItem(X5) )
              & ssList(X3)
              & sK1 = X3 )
          & ssList(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil = X3
                & nil = X2 )
              | ? [X4] :
                  ( cons(X4,nil) = X2
                  & ssItem(X4)
                  & memberP(X3,X4) ) )
            & sK0 = X2
            & ? [X5] :
                ( memberP(sK0,X5)
                & ~ memberP(sK1,X5)
                & ssItem(X5) )
            & ssList(X3)
            & sK1 = X3 )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil = X3
              & nil = sK2 )
            | ? [X4] :
                ( cons(X4,nil) = sK2
                & ssItem(X4)
                & memberP(X3,X4) ) )
          & sK0 = sK2
          & ? [X5] :
              ( memberP(sK0,X5)
              & ~ memberP(sK1,X5)
              & ssItem(X5) )
          & ssList(X3)
          & sK1 = X3 )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( ? [X3] :
        ( ( ( nil = X3
            & nil = sK2 )
          | ? [X4] :
              ( cons(X4,nil) = sK2
              & ssItem(X4)
              & memberP(X3,X4) ) )
        & sK0 = sK2
        & ? [X5] :
            ( memberP(sK0,X5)
            & ~ memberP(sK1,X5)
            & ssItem(X5) )
        & ssList(X3)
        & sK1 = X3 )
   => ( ( ( nil = sK3
          & nil = sK2 )
        | ? [X4] :
            ( cons(X4,nil) = sK2
            & ssItem(X4)
            & memberP(sK3,X4) ) )
      & sK0 = sK2
      & ? [X5] :
          ( memberP(sK0,X5)
          & ~ memberP(sK1,X5)
          & ssItem(X5) )
      & ssList(sK3)
      & sK1 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X4] :
        ( cons(X4,nil) = sK2
        & ssItem(X4)
        & memberP(sK3,X4) )
   => ( cons(sK4,nil) = sK2
      & ssItem(sK4)
      & memberP(sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X5] :
        ( memberP(sK0,X5)
        & ~ memberP(sK1,X5)
        & ssItem(X5) )
   => ( memberP(sK0,sK5)
      & ~ memberP(sK1,sK5)
      & ssItem(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( cons(X4,nil) = X2
                        & ssItem(X4)
                        & memberP(X3,X4) ) )
                  & X0 = X2
                  & ? [X5] :
                      ( memberP(X0,X5)
                      & ~ memberP(X1,X5)
                      & ssItem(X5) )
                  & ssList(X3)
                  & X1 = X3 )
              & ssList(X2) ) ) ),
    inference(rectify,[],[f108]) ).

fof(f108,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X3
                      & nil = X2 )
                    | ? [X5] :
                        ( cons(X5,nil) = X2
                        & ssItem(X5)
                        & memberP(X3,X5) ) )
                  & X0 = X2
                  & ? [X4] :
                      ( memberP(X0,X4)
                      & ~ memberP(X1,X4)
                      & ssItem(X4) )
                  & ssList(X3)
                  & X1 = X3 )
              & ssList(X2) ) ) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X3
                      & nil = X2 )
                    | ? [X5] :
                        ( memberP(X3,X5)
                        & cons(X5,nil) = X2
                        & ssItem(X5) ) )
                  & X0 = X2
                  & ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(X0,X4)
                      & ssItem(X4) )
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil != X3
                          | nil != X2 )
                        & ! [X5] :
                            ( ssItem(X5)
                           => ( ~ memberP(X3,X5)
                              | cons(X5,nil) != X2 ) ) )
                      | X0 != X2
                      | ! [X4] :
                          ( ssItem(X4)
                         => ( memberP(X1,X4)
                            | ~ memberP(X0,X4) ) )
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil != X3
                        | nil != X2 )
                      & ! [X5] :
                          ( ssItem(X5)
                         => ( ~ memberP(X3,X5)
                            | cons(X5,nil) != X2 ) ) )
                    | X0 != X2
                    | ! [X4] :
                        ( ssItem(X4)
                       => ( memberP(X1,X4)
                          | ~ memberP(X0,X4) ) )
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f162,plain,
    ~ memberP(sK1,sK5),
    inference(cnf_transformation,[],[f133]) ).

fof(f551,plain,
    ( memberP(nil,sK5)
    | ~ spl12_3 ),
    inference(backward_demodulation,[],[f198,f218]) ).

fof(f218,plain,
    ( nil = sK2
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl12_3
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f198,plain,
    memberP(sK2,sK5),
    inference(definition_unfolding,[],[f163,f164]) ).

fof(f164,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f133]) ).

fof(f163,plain,
    memberP(sK0,sK5),
    inference(cnf_transformation,[],[f133]) ).

fof(f554,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5 ),
    inference(avatar_contradiction_clause,[],[f553]) ).

fof(f553,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f552,f227]) ).

fof(f227,plain,
    ( ssItem(sK4)
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl12_5
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f552,plain,
    ( ~ ssItem(sK4)
    | ~ spl12_1
    | ~ spl12_2 ),
    inference(resolution,[],[f548,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f548,plain,
    ( memberP(nil,sK4)
    | ~ spl12_1
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f213,f209]) ).

fof(f213,plain,
    ( memberP(sK3,sK4)
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl12_2
  <=> memberP(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f546,plain,
    ( ~ spl12_2
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(avatar_contradiction_clause,[],[f545]) ).

fof(f545,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(subsumption_resolution,[],[f542,f213]) ).

fof(f542,plain,
    ( ~ memberP(sK3,sK4)
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f199,f530]) ).

fof(f530,plain,
    ( sK4 = sK5
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(subsumption_resolution,[],[f527,f161]) ).

fof(f161,plain,
    ssItem(sK5),
    inference(cnf_transformation,[],[f133]) ).

fof(f527,plain,
    ( sK4 = sK5
    | ~ ssItem(sK5)
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(resolution,[],[f520,f198]) ).

fof(f520,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | ~ ssItem(X0)
        | sK4 = X0 )
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(subsumption_resolution,[],[f519,f182]) ).

fof(f519,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | memberP(nil,X0)
        | sK4 = X0
        | ~ ssItem(X0) )
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(subsumption_resolution,[],[f518,f227]) ).

fof(f518,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ ssItem(sK4)
        | sK4 = X0
        | ~ memberP(sK2,X0)
        | memberP(nil,X0) )
    | ~ spl12_4
    | ~ spl12_7 ),
    inference(subsumption_resolution,[],[f510,f238]) ).

fof(f238,plain,
    ( ssList(nil)
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl12_7
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f510,plain,
    ( ! [X0] :
        ( ~ ssList(nil)
        | ~ ssItem(X0)
        | ~ memberP(sK2,X0)
        | sK4 = X0
        | memberP(nil,X0)
        | ~ ssItem(sK4) )
    | ~ spl12_4 ),
    inference(superposition,[],[f177,f222]) ).

fof(f222,plain,
    ( cons(sK4,nil) = sK2
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl12_4
  <=> cons(sK4,nil) = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f177,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | memberP(X2,X0)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) )
                & ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) ) ) )
          | ~ ssItem(X1) ) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) )
                & ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) ) ) )
          | ~ ssItem(X1) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(X2,X0)
                  | X0 = X1 )
              <=> memberP(cons(X1,X2),X0) ) )
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( memberP(X2,X0)
                  | X0 = X1 )
              <=> memberP(cons(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f252,plain,
    ( ~ spl12_3
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f251,f237,f225,f220,f216]) ).

fof(f251,plain,
    ( nil != sK2
    | ~ spl12_4
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(subsumption_resolution,[],[f250,f238]) ).

fof(f250,plain,
    ( ~ ssList(nil)
    | nil != sK2
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f249,f227]) ).

fof(f249,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(nil)
    | nil != sK2
    | ~ spl12_4 ),
    inference(superposition,[],[f192,f222]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) != X0 ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f241,plain,
    spl12_7,
    inference(avatar_split_clause,[],[f181,f237]) ).

fof(f181,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f231,plain,
    ( spl12_3
    | spl12_2 ),
    inference(avatar_split_clause,[],[f165,f211,f216]) ).

fof(f165,plain,
    ( memberP(sK3,sK4)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f230,plain,
    ( spl12_5
    | spl12_1 ),
    inference(avatar_split_clause,[],[f169,f207,f225]) ).

fof(f169,plain,
    ( nil = sK3
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f229,plain,
    ( spl12_4
    | spl12_1 ),
    inference(avatar_split_clause,[],[f170,f207,f220]) ).

fof(f170,plain,
    ( nil = sK3
    | cons(sK4,nil) = sK2 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f228,plain,
    ( spl12_5
    | spl12_3 ),
    inference(avatar_split_clause,[],[f166,f216,f225]) ).

fof(f166,plain,
    ( nil = sK2
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f133]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC407+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n019.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   : Tue Aug 30 18:57:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.58  % (1056)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.58  % (1072)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.71/0.59  % (1064)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.71/0.60  % (1064)Instruction limit reached!
% 1.71/0.60  % (1064)------------------------------
% 1.71/0.60  % (1064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (1038)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.71/0.60  % (1064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60  % (1064)Termination reason: Unknown
% 1.71/0.60  % (1064)Termination phase: Naming
% 1.71/0.60  
% 1.71/0.60  % (1064)Memory used [KB]: 1663
% 1.71/0.60  % (1064)Time elapsed: 0.005 s
% 1.71/0.60  % (1064)Instructions burned: 3 (million)
% 1.71/0.60  % (1064)------------------------------
% 1.71/0.60  % (1064)------------------------------
% 1.71/0.60  % (1043)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.71/0.61  % (1073)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.61  % (1062)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.71/0.61  % (1028)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.95/0.61  % (1065)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.95/0.61  % (1036)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.95/0.61  % (1034)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.95/0.62  % (1065)Instruction limit reached!
% 1.95/0.62  % (1065)------------------------------
% 1.95/0.62  % (1065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62  % (1034)Instruction limit reached!
% 1.95/0.62  % (1034)------------------------------
% 1.95/0.62  % (1034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62  % (1034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62  % (1034)Termination reason: Unknown
% 1.95/0.62  % (1034)Termination phase: Preprocessing 3
% 1.95/0.62  
% 1.95/0.62  % (1034)Memory used [KB]: 1663
% 1.95/0.62  % (1034)Time elapsed: 0.004 s
% 1.95/0.62  % (1034)Instructions burned: 4 (million)
% 1.95/0.62  % (1034)------------------------------
% 1.95/0.62  % (1034)------------------------------
% 1.95/0.62  % (1057)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.95/0.62  % (1065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62  % (1065)Termination reason: Unknown
% 1.95/0.62  % (1065)Termination phase: Preprocessing 3
% 1.95/0.62  
% 1.95/0.62  % (1065)Memory used [KB]: 1535
% 1.95/0.62  % (1065)Time elapsed: 0.006 s
% 1.95/0.62  % (1065)Instructions burned: 3 (million)
% 1.95/0.62  % (1065)------------------------------
% 1.95/0.62  % (1065)------------------------------
% 1.95/0.62  % (1031)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.95/0.62  % (1076)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.95/0.63  % (1070)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.95/0.63  % (1057)Refutation not found, incomplete strategy% (1057)------------------------------
% 1.95/0.63  % (1057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63  % (1057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63  % (1057)Termination reason: Refutation not found, incomplete strategy
% 1.95/0.63  
% 1.95/0.63  % (1057)Memory used [KB]: 6140
% 1.95/0.63  % (1057)Time elapsed: 0.191 s
% 1.95/0.63  % (1057)Instructions burned: 7 (million)
% 1.95/0.63  % (1057)------------------------------
% 1.95/0.63  % (1057)------------------------------
% 1.95/0.63  % (1035)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.95/0.63  % (1067)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.95/0.64  % (1069)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.95/0.64  % (1062)Instruction limit reached!
% 1.95/0.64  % (1062)------------------------------
% 1.95/0.64  % (1062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.64  % (1062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.64  % (1062)Termination reason: Unknown
% 1.95/0.64  % (1062)Termination phase: Function definition elimination
% 1.95/0.64  
% 1.95/0.64  % (1062)Memory used [KB]: 1791
% 1.95/0.64  % (1062)Time elapsed: 0.007 s
% 1.95/0.64  % (1062)Instructions burned: 8 (million)
% 1.95/0.64  % (1062)------------------------------
% 1.95/0.64  % (1062)------------------------------
% 1.95/0.64  % (1068)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.95/0.64  % (1055)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.95/0.64  % (1044)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.95/0.64  % (1059)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.95/0.64  % (1060)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.95/0.64  % (1058)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.20/0.65  % (1031)Instruction limit reached!
% 2.20/0.65  % (1031)------------------------------
% 2.20/0.65  % (1031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (1031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (1031)Termination reason: Unknown
% 2.20/0.65  % (1031)Termination phase: Saturation
% 2.20/0.65  
% 2.20/0.65  % (1031)Memory used [KB]: 6396
% 2.20/0.65  % (1031)Time elapsed: 0.168 s
% 2.20/0.65  % (1031)Instructions burned: 13 (million)
% 2.20/0.65  % (1031)------------------------------
% 2.20/0.65  % (1031)------------------------------
% 2.20/0.65  % (1036)Instruction limit reached!
% 2.20/0.65  % (1036)------------------------------
% 2.20/0.65  % (1036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (1036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (1036)Termination reason: Unknown
% 2.20/0.65  % (1036)Termination phase: Saturation
% 2.20/0.65  
% 2.20/0.65  % (1036)Memory used [KB]: 6268
% 2.20/0.65  % (1036)Time elapsed: 0.215 s
% 2.20/0.65  % (1036)Instructions burned: 13 (million)
% 2.20/0.65  % (1036)------------------------------
% 2.20/0.65  % (1036)------------------------------
% 2.20/0.65  % (1074)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 2.20/0.65  % (1071)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.20/0.65  % (1056)Instruction limit reached!
% 2.20/0.65  % (1056)------------------------------
% 2.20/0.65  % (1056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (1075)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.20/0.65  % (1061)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.20/0.65  % (1061)Instruction limit reached!
% 2.20/0.65  % (1061)------------------------------
% 2.20/0.65  % (1061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (1061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (1061)Termination reason: Unknown
% 2.20/0.65  % (1061)Termination phase: Preprocessing 3
% 2.20/0.65  
% 2.20/0.65  % (1061)Memory used [KB]: 1663
% 2.20/0.65  % (1061)Time elapsed: 0.005 s
% 2.20/0.65  % (1061)Instructions burned: 4 (million)
% 2.20/0.65  % (1061)------------------------------
% 2.20/0.65  % (1061)------------------------------
% 2.20/0.65  % (1075)Instruction limit reached!
% 2.20/0.65  % (1075)------------------------------
% 2.20/0.65  % (1075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (1075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (1075)Termination reason: Unknown
% 2.20/0.65  % (1075)Termination phase: Function definition elimination
% 2.20/0.65  
% 2.20/0.65  % (1075)Memory used [KB]: 1791
% 2.20/0.65  % (1075)Time elapsed: 0.008 s
% 2.20/0.65  % (1075)Instructions burned: 8 (million)
% 2.20/0.65  % (1075)------------------------------
% 2.20/0.65  % (1075)------------------------------
% 2.20/0.65  % (1056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (1056)Termination reason: Unknown
% 2.20/0.65  % (1056)Termination phase: Saturation
% 2.20/0.65  
% 2.20/0.65  % (1056)Memory used [KB]: 6652
% 2.20/0.65  % (1056)Time elapsed: 0.200 s
% 2.20/0.65  % (1056)Instructions burned: 33 (million)
% 2.20/0.65  % (1056)------------------------------
% 2.20/0.65  % (1056)------------------------------
% 2.20/0.65  % (1066)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.20/0.65  % (1043)First to succeed.
% 2.20/0.65  % (1063)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.20/0.65  % (1038)Instruction limit reached!
% 2.20/0.65  % (1038)------------------------------
% 2.20/0.65  % (1038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (1038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (1038)Termination reason: Unknown
% 2.20/0.65  % (1038)Termination phase: Saturation
% 2.20/0.65  
% 2.20/0.65  % (1038)Memory used [KB]: 1663
% 2.20/0.65  % (1038)Time elapsed: 0.223 s
% 2.20/0.65  % (1038)Instructions burned: 15 (million)
% 2.20/0.65  % (1038)------------------------------
% 2.20/0.65  % (1038)------------------------------
% 2.20/0.66  % (1043)Refutation found. Thanks to Tanya!
% 2.20/0.66  % SZS status Theorem for theBenchmark
% 2.20/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.66  % (1043)------------------------------
% 2.20/0.66  % (1043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (1043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (1043)Termination reason: Refutation
% 2.20/0.66  
% 2.20/0.66  % (1043)Memory used [KB]: 6268
% 2.20/0.66  % (1043)Time elapsed: 0.223 s
% 2.20/0.66  % (1043)Instructions burned: 14 (million)
% 2.20/0.66  % (1043)------------------------------
% 2.20/0.66  % (1043)------------------------------
% 2.20/0.66  % (1027)Success in time 0.291 s
%------------------------------------------------------------------------------