TSTP Solution File: SWC008+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC008+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 : n021.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 18:38:11 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   47 (  11 unt;   0 def)
%            Number of atoms       :  375 (  90 equ)
%            Maximal formula atoms :   36 (   7 avg)
%            Number of connectives :  551 ( 223   ~; 187   |; 122   &)
%                                         (   3 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  138 (  97   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f531,plain,
    $false,
    inference(avatar_sat_refutation,[],[f278,f530]) ).

fof(f530,plain,
    ~ spl15_2,
    inference(avatar_contradiction_clause,[],[f529]) ).

fof(f529,plain,
    ( $false
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f528,f254]) ).

fof(f254,plain,
    frontsegP(sK8,sK7),
    inference(definition_unfolding,[],[f222,f226,f220]) ).

fof(f220,plain,
    sK9 = sK7,
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ( ssList(sK7)
    & ssList(sK8)
    & ssList(sK9)
    & sK10 = sK8
    & ssList(sK10)
    & ! [X4] :
        ( ~ ssList(X4)
        | ~ frontsegP(sK10,X4)
        | ~ neq(sK9,X4)
        | ~ segmentP(X4,sK9)
        | ~ equalelemsP(X4) )
    & equalelemsP(sK9)
    & frontsegP(sK10,sK9)
    & ! [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( sK8 != app(app(X5,X6),X7)
                | app(X5,X7) != sK7
                | ~ ssList(X7) )
            | ~ ssList(X6) )
        | ~ ssList(X5) )
    & sK9 = sK7 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f165,f169,f168,f167,f166]) ).

fof(f166,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X1 = X3
                    & ssList(X3)
                    & ! [X4] :
                        ( ~ ssList(X4)
                        | ~ frontsegP(X3,X4)
                        | ~ neq(X2,X4)
                        | ~ segmentP(X4,X2)
                        | ~ equalelemsP(X4) )
                    & equalelemsP(X2)
                    & frontsegP(X3,X2)
                    & ! [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( app(app(X5,X6),X7) != X1
                                | app(X5,X7) != X0
                                | ~ ssList(X7) )
                            | ~ ssList(X6) )
                        | ~ ssList(X5) )
                    & X0 = X2 ) ) ) )
   => ( ssList(sK7)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ segmentP(X4,X2)
                      | ~ equalelemsP(X4) )
                  & equalelemsP(X2)
                  & frontsegP(X3,X2)
                  & ! [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( app(app(X5,X6),X7) != X1
                              | app(X5,X7) != sK7
                              | ~ ssList(X7) )
                          | ~ ssList(X6) )
                      | ~ ssList(X5) )
                  & sK7 = X2 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( X1 = X3
                & ssList(X3)
                & ! [X4] :
                    ( ~ ssList(X4)
                    | ~ frontsegP(X3,X4)
                    | ~ neq(X2,X4)
                    | ~ segmentP(X4,X2)
                    | ~ equalelemsP(X4) )
                & equalelemsP(X2)
                & frontsegP(X3,X2)
                & ! [X5] :
                    ( ! [X6] :
                        ( ! [X7] :
                            ( app(app(X5,X6),X7) != X1
                            | app(X5,X7) != sK7
                            | ~ ssList(X7) )
                        | ~ ssList(X6) )
                    | ~ ssList(X5) )
                & sK7 = X2 ) ) )
   => ( ssList(sK8)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK8 = X3
              & ssList(X3)
              & ! [X4] :
                  ( ~ ssList(X4)
                  | ~ frontsegP(X3,X4)
                  | ~ neq(X2,X4)
                  | ~ segmentP(X4,X2)
                  | ~ equalelemsP(X4) )
              & equalelemsP(X2)
              & frontsegP(X3,X2)
              & ! [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( sK8 != app(app(X5,X6),X7)
                          | app(X5,X7) != sK7
                          | ~ ssList(X7) )
                      | ~ ssList(X6) )
                  | ~ ssList(X5) )
              & sK7 = X2 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK8 = X3
            & ssList(X3)
            & ! [X4] :
                ( ~ ssList(X4)
                | ~ frontsegP(X3,X4)
                | ~ neq(X2,X4)
                | ~ segmentP(X4,X2)
                | ~ equalelemsP(X4) )
            & equalelemsP(X2)
            & frontsegP(X3,X2)
            & ! [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( sK8 != app(app(X5,X6),X7)
                        | app(X5,X7) != sK7
                        | ~ ssList(X7) )
                    | ~ ssList(X6) )
                | ~ ssList(X5) )
            & sK7 = X2 ) )
   => ( ssList(sK9)
      & ? [X3] :
          ( sK8 = X3
          & ssList(X3)
          & ! [X4] :
              ( ~ ssList(X4)
              | ~ frontsegP(X3,X4)
              | ~ neq(sK9,X4)
              | ~ segmentP(X4,sK9)
              | ~ equalelemsP(X4) )
          & equalelemsP(sK9)
          & frontsegP(X3,sK9)
          & ! [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( sK8 != app(app(X5,X6),X7)
                      | app(X5,X7) != sK7
                      | ~ ssList(X7) )
                  | ~ ssList(X6) )
              | ~ ssList(X5) )
          & sK9 = sK7 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ( ? [X3] :
        ( sK8 = X3
        & ssList(X3)
        & ! [X4] :
            ( ~ ssList(X4)
            | ~ frontsegP(X3,X4)
            | ~ neq(sK9,X4)
            | ~ segmentP(X4,sK9)
            | ~ equalelemsP(X4) )
        & equalelemsP(sK9)
        & frontsegP(X3,sK9)
        & ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( sK8 != app(app(X5,X6),X7)
                    | app(X5,X7) != sK7
                    | ~ ssList(X7) )
                | ~ ssList(X6) )
            | ~ ssList(X5) )
        & sK9 = sK7 )
   => ( sK10 = sK8
      & ssList(sK10)
      & ! [X4] :
          ( ~ ssList(X4)
          | ~ frontsegP(sK10,X4)
          | ~ neq(sK9,X4)
          | ~ segmentP(X4,sK9)
          | ~ equalelemsP(X4) )
      & equalelemsP(sK9)
      & frontsegP(sK10,sK9)
      & ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( sK8 != app(app(X5,X6),X7)
                  | app(X5,X7) != sK7
                  | ~ ssList(X7) )
              | ~ ssList(X6) )
          | ~ ssList(X5) )
      & sK9 = sK7 ) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ segmentP(X4,X2)
                      | ~ equalelemsP(X4) )
                  & equalelemsP(X2)
                  & frontsegP(X3,X2)
                  & ! [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( app(app(X5,X6),X7) != X1
                              | app(X5,X7) != X0
                              | ~ ssList(X7) )
                          | ~ ssList(X6) )
                      | ~ ssList(X5) )
                  & X0 = X2 ) ) ) ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & ! [X7] :
                      ( ~ ssList(X7)
                      | ~ frontsegP(X3,X7)
                      | ~ neq(X2,X7)
                      | ~ segmentP(X7,X2)
                      | ~ equalelemsP(X7) )
                  & equalelemsP(X2)
                  & frontsegP(X3,X2)
                  & ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( app(app(X4,X5),X6) != X1
                              | app(X4,X6) != X0
                              | ~ ssList(X6) )
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  & X0 = X2 ) ) ) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( app(app(X4,X5),X6) != X1
                              | app(X4,X6) != X0
                              | ~ ssList(X6) )
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  & X1 = X3
                  & ! [X7] :
                      ( ~ ssList(X7)
                      | ~ frontsegP(X3,X7)
                      | ~ neq(X2,X7)
                      | ~ segmentP(X7,X2)
                      | ~ equalelemsP(X7) )
                  & equalelemsP(X2)
                  & frontsegP(X3,X2)
                  & 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)
                   => ( X0 != X2
                      | ? [X4] :
                          ( ? [X5] :
                              ( ssList(X5)
                              & ? [X6] :
                                  ( app(app(X4,X5),X6) = X1
                                  & app(X4,X6) = X0
                                  & ssList(X6) ) )
                          & ssList(X4) )
                      | X1 != X3
                      | ? [X7] :
                          ( ssList(X7)
                          & neq(X2,X7)
                          & frontsegP(X3,X7)
                          & segmentP(X7,X2)
                          & equalelemsP(X7) )
                      | ~ equalelemsP(X2)
                      | ~ frontsegP(X3,X2) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | ? [X4] :
                        ( ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( app(app(X4,X5),X6) = X1
                                & app(X4,X6) = X0
                                & ssList(X6) ) )
                        & ssList(X4) )
                    | X1 != X3
                    | ? [X7] :
                        ( ssList(X7)
                        & neq(X2,X7)
                        & frontsegP(X3,X7)
                        & segmentP(X7,X2)
                        & equalelemsP(X7) )
                    | ~ equalelemsP(X2)
                    | ~ frontsegP(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f226,plain,
    sK10 = sK8,
    inference(cnf_transformation,[],[f170]) ).

fof(f222,plain,
    frontsegP(sK10,sK9),
    inference(cnf_transformation,[],[f170]) ).

fof(f528,plain,
    ( ~ frontsegP(sK8,sK7)
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f527,f229]) ).

fof(f229,plain,
    ssList(sK7),
    inference(cnf_transformation,[],[f170]) ).

fof(f527,plain,
    ( ~ ssList(sK7)
    | ~ frontsegP(sK8,sK7)
    | ~ spl15_2 ),
    inference(equality_resolution,[],[f526]) ).

fof(f526,plain,
    ( ! [X0] :
        ( sK7 != X0
        | ~ ssList(X0)
        | ~ frontsegP(sK8,X0) )
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f525,f228]) ).

fof(f228,plain,
    ssList(sK8),
    inference(cnf_transformation,[],[f170]) ).

fof(f525,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sK8)
        | ~ frontsegP(sK8,X0)
        | sK7 != X0 )
    | ~ spl15_2 ),
    inference(equality_resolution,[],[f516]) ).

fof(f516,plain,
    ( ! [X14,X15] :
        ( sK8 != X15
        | ~ ssList(X15)
        | ~ frontsegP(X15,X14)
        | sK7 != X14
        | ~ ssList(X14) )
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f499,f212]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ssList(sK4(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ( ssList(sK4(X0,X1))
                & app(X1,sK4(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f159,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ssList(X3)
          & app(X1,X3) = X0 )
     => ( ssList(sK4(X0,X1))
        & app(X1,sK4(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X3] :
                  ( ssList(X3)
                  & app(X1,X3) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f499,plain,
    ( ! [X14,X15] :
        ( sK8 != X15
        | ~ ssList(sK4(X15,X14))
        | sK7 != X14
        | ~ ssList(X14)
        | ~ frontsegP(X15,X14)
        | ~ ssList(X15) )
    | ~ spl15_2 ),
    inference(duplicate_literal_removal,[],[f487]) ).

fof(f487,plain,
    ( ! [X14,X15] :
        ( ~ ssList(X15)
        | ~ ssList(X14)
        | ~ ssList(X15)
        | sK8 != X15
        | ~ ssList(X14)
        | ~ frontsegP(X15,X14)
        | ~ ssList(sK4(X15,X14))
        | sK7 != X14 )
    | ~ spl15_2 ),
    inference(superposition,[],[f324,f211]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( app(X1,sK4(X0,X1)) = X0
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f324,plain,
    ( ! [X2,X1] :
        ( app(X1,X2) != sK8
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(X1,X2))
        | sK7 != X1 )
    | ~ spl15_2 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f323,plain,
    ( ! [X2,X1] :
        ( sK7 != X1
        | ~ ssList(X2)
        | app(X1,X2) != sK8
        | ~ ssList(X1)
        | ~ ssList(X1)
        | ~ ssList(app(X1,X2)) )
    | ~ spl15_2 ),
    inference(superposition,[],[f313,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f313,plain,
    ( ! [X2,X3] :
        ( app(X2,nil) != sK7
        | ~ ssList(X3)
        | ~ ssList(app(X2,X3))
        | app(X2,X3) != sK8
        | ~ ssList(X2) )
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f309,f275]) ).

fof(f275,plain,
    ( ssList(nil)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl15_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f309,plain,
    ! [X2,X3] :
      ( ~ ssList(X3)
      | app(X2,nil) != sK7
      | ~ ssList(app(X2,X3))
      | app(X2,X3) != sK8
      | ~ ssList(X2)
      | ~ ssList(nil) ),
    inference(superposition,[],[f221,f180]) ).

fof(f221,plain,
    ! [X6,X7,X5] :
      ( sK8 != app(app(X5,X6),X7)
      | ~ ssList(X7)
      | app(X5,X7) != sK7
      | ~ ssList(X5)
      | ~ ssList(X6) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f278,plain,
    spl15_2,
    inference(avatar_split_clause,[],[f214,f274]) ).

fof(f214,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 17:52:11 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (29554)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)
% 0.19/0.49  % (29532)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)
% 0.19/0.50  % (29546)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)
% 0.19/0.51  % (29530)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)
% 0.19/0.51  % (29529)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)
% 0.19/0.52  % (29537)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)
% 0.19/0.52  % (29528)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)
% 0.19/0.52  % (29527)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)
% 0.19/0.52  % (29527)Instruction limit reached!
% 0.19/0.52  % (29527)------------------------------
% 0.19/0.52  % (29527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29527)Termination reason: Unknown
% 0.19/0.52  % (29527)Termination phase: Naming
% 0.19/0.52  
% 0.19/0.52  % (29527)Memory used [KB]: 1535
% 0.19/0.52  % (29527)Time elapsed: 0.002 s
% 0.19/0.52  % (29527)Instructions burned: 3 (million)
% 0.19/0.52  % (29527)------------------------------
% 0.19/0.52  % (29527)------------------------------
% 0.19/0.52  % (29544)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)
% 0.19/0.52  % (29552)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)
% 0.19/0.53  % (29543)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)
% 0.19/0.53  % (29532)Instruction limit reached!
% 0.19/0.53  % (29532)------------------------------
% 0.19/0.53  % (29532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29539)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)
% 0.19/0.53  % (29553)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)
% 0.19/0.53  % (29534)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)
% 0.19/0.53  % (29539)Instruction limit reached!
% 0.19/0.53  % (29539)------------------------------
% 0.19/0.53  % (29539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29539)Termination reason: Unknown
% 0.19/0.53  % (29539)Termination phase: Naming
% 0.19/0.53  
% 0.19/0.53  % (29539)Memory used [KB]: 1535
% 0.19/0.53  % (29539)Time elapsed: 0.002 s
% 0.19/0.53  % (29539)Instructions burned: 3 (million)
% 0.19/0.53  % (29539)------------------------------
% 0.19/0.53  % (29539)------------------------------
% 0.19/0.53  % (29554)Instruction limit reached!
% 0.19/0.53  % (29554)------------------------------
% 0.19/0.53  % (29554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29554)Termination reason: Unknown
% 0.19/0.53  % (29554)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29554)Memory used [KB]: 6396
% 0.19/0.53  % (29554)Time elapsed: 0.140 s
% 0.19/0.53  % (29554)Instructions burned: 25 (million)
% 0.19/0.53  % (29554)------------------------------
% 0.19/0.53  % (29554)------------------------------
% 0.19/0.53  % (29533)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)
% 0.19/0.53  % (29532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29532)Termination reason: Unknown
% 0.19/0.53  % (29532)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29532)Memory used [KB]: 6780
% 0.19/0.53  % (29532)Time elapsed: 0.110 s
% 0.19/0.53  % (29532)Instructions burned: 40 (million)
% 0.19/0.53  % (29532)------------------------------
% 0.19/0.53  % (29532)------------------------------
% 0.19/0.53  % (29553)Instruction limit reached!
% 0.19/0.53  % (29553)------------------------------
% 0.19/0.53  % (29553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29553)Termination reason: Unknown
% 0.19/0.53  % (29553)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (29553)Memory used [KB]: 1791
% 0.19/0.53  % (29553)Time elapsed: 0.004 s
% 0.19/0.53  % (29553)Instructions burned: 8 (million)
% 0.19/0.53  % (29553)------------------------------
% 0.19/0.53  % (29553)------------------------------
% 0.19/0.53  % (29550)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)
% 0.19/0.53  % (29529)Instruction limit reached!
% 0.19/0.53  % (29529)------------------------------
% 0.19/0.53  % (29529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29529)Termination reason: Unknown
% 0.19/0.53  % (29529)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29529)Memory used [KB]: 6268
% 0.19/0.53  % (29529)Time elapsed: 0.137 s
% 0.19/0.53  % (29529)Instructions burned: 13 (million)
% 0.19/0.53  % (29529)------------------------------
% 0.19/0.53  % (29529)------------------------------
% 0.19/0.53  % (29526)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)
% 0.19/0.53  % (29551)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)
% 0.19/0.53  % (29548)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)
% 0.19/0.53  % (29543)Instruction limit reached!
% 0.19/0.53  % (29543)------------------------------
% 0.19/0.53  % (29543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29543)Termination reason: Unknown
% 0.19/0.53  % (29543)Termination phase: Unused predicate definition removal
% 0.19/0.53  
% 0.19/0.53  % (29543)Memory used [KB]: 1407
% 0.19/0.53  % (29543)Time elapsed: 0.004 s
% 0.19/0.53  % (29543)Instructions burned: 2 (million)
% 0.19/0.53  % (29543)------------------------------
% 0.19/0.53  % (29543)------------------------------
% 0.19/0.53  % (29544)Instruction limit reached!
% 0.19/0.53  % (29544)------------------------------
% 0.19/0.53  % (29544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29544)Termination reason: Unknown
% 0.19/0.53  % (29544)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29544)Memory used [KB]: 6268
% 0.19/0.53  % (29544)Time elapsed: 0.134 s
% 0.19/0.53  % (29544)Instructions burned: 11 (million)
% 0.19/0.53  % (29544)------------------------------
% 0.19/0.53  % (29544)------------------------------
% 0.19/0.54  % (29531)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)
% 0.19/0.54  % (29536)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)
% 0.19/0.54  % (29525)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.54  % (29535)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)
% 0.19/0.54  % (29545)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)
% 0.19/0.54  % (29542)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (29549)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)
% 0.19/0.54  % (29547)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)
% 0.19/0.54  % (29540)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)
% 0.19/0.55  % (29538)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)
% 0.19/0.55  % (29542)Instruction limit reached!
% 0.19/0.55  % (29542)------------------------------
% 0.19/0.55  % (29542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29542)Termination reason: Unknown
% 0.19/0.56  % (29542)Termination phase: Naming
% 0.19/0.56  
% 0.19/0.56  % (29542)Memory used [KB]: 1663
% 0.19/0.56  % (29542)Time elapsed: 0.004 s
% 0.19/0.56  % (29542)Instructions burned: 3 (million)
% 0.19/0.56  % (29542)------------------------------
% 0.19/0.56  % (29542)------------------------------
% 0.19/0.56  % (29552)Instruction limit reached!
% 0.19/0.56  % (29552)------------------------------
% 0.19/0.56  % (29552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29537)Instruction limit reached!
% 0.19/0.56  % (29537)------------------------------
% 0.19/0.56  % (29537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29537)Termination reason: Unknown
% 0.19/0.56  % (29537)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (29537)Memory used [KB]: 2046
% 0.19/0.56  % (29537)Time elapsed: 0.143 s
% 0.19/0.56  % (29537)Instructions burned: 16 (million)
% 0.19/0.56  % (29537)------------------------------
% 0.19/0.56  % (29537)------------------------------
% 0.19/0.56  % (29552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29552)Termination reason: Unknown
% 0.19/0.56  % (29552)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (29552)Memory used [KB]: 6652
% 0.19/0.56  % (29552)Time elapsed: 0.162 s
% 0.19/0.56  % (29552)Instructions burned: 26 (million)
% 0.19/0.56  % (29552)------------------------------
% 0.19/0.56  % (29552)------------------------------
% 0.19/0.56  % (29530)Instruction limit reached!
% 0.19/0.56  % (29530)------------------------------
% 0.19/0.56  % (29530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29530)Termination reason: Unknown
% 0.19/0.56  % (29530)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (29530)Memory used [KB]: 1791
% 0.19/0.56  % (29530)Time elapsed: 0.138 s
% 0.19/0.56  % (29530)Instructions burned: 15 (million)
% 0.19/0.56  % (29530)------------------------------
% 0.19/0.56  % (29530)------------------------------
% 0.19/0.56  % (29536)Instruction limit reached!
% 0.19/0.56  % (29536)------------------------------
% 0.19/0.56  % (29536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29536)Termination reason: Unknown
% 0.19/0.56  % (29536)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (29536)Memory used [KB]: 6140
% 0.19/0.56  % (29536)Time elapsed: 0.163 s
% 0.19/0.56  % (29536)Instructions burned: 7 (million)
% 0.19/0.56  % (29536)------------------------------
% 0.19/0.56  % (29536)------------------------------
% 0.19/0.56  % (29526)Instruction limit reached!
% 0.19/0.56  % (29526)------------------------------
% 0.19/0.56  % (29526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29526)Termination reason: Unknown
% 0.19/0.56  % (29526)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (29526)Memory used [KB]: 6524
% 0.19/0.56  % (29526)Time elapsed: 0.163 s
% 0.19/0.56  % (29526)Instructions burned: 14 (million)
% 0.19/0.56  % (29526)------------------------------
% 0.19/0.56  % (29526)------------------------------
% 0.19/0.56  % (29540)Instruction limit reached!
% 0.19/0.56  % (29540)------------------------------
% 0.19/0.56  % (29540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29540)Termination reason: Unknown
% 0.19/0.56  % (29540)Termination phase: Equality resolution with deletion
% 0.19/0.56  
% 0.19/0.56  % (29540)Memory used [KB]: 1791
% 0.19/0.56  % (29540)Time elapsed: 0.006 s
% 0.19/0.56  % (29540)Instructions burned: 8 (million)
% 0.19/0.56  % (29540)------------------------------
% 0.19/0.56  % (29540)------------------------------
% 0.19/0.57  % (29531)First to succeed.
% 0.19/0.57  % (29535)Instruction limit reached!
% 0.19/0.57  % (29535)------------------------------
% 0.19/0.57  % (29535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (29535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (29535)Termination reason: Unknown
% 0.19/0.57  % (29535)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (29535)Memory used [KB]: 6268
% 0.19/0.57  % (29535)Time elapsed: 0.110 s
% 0.19/0.57  % (29535)Instructions burned: 12 (million)
% 0.19/0.57  % (29535)------------------------------
% 0.19/0.57  % (29535)------------------------------
% 0.19/0.57  % (29534)Instruction limit reached!
% 0.19/0.57  % (29534)------------------------------
% 0.19/0.57  % (29534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (29531)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Theorem for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (29531)------------------------------
% 0.19/0.57  % (29531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (29531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (29531)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (29531)Memory used [KB]: 6268
% 0.19/0.57  % (29531)Time elapsed: 0.159 s
% 0.19/0.57  % (29531)Instructions burned: 17 (million)
% 0.19/0.57  % (29531)------------------------------
% 0.19/0.57  % (29531)------------------------------
% 0.19/0.57  % (29520)Success in time 0.215 s
%------------------------------------------------------------------------------